Simulacao_da_Copa_de_Futebol_das_Olimpiadas.ipynb

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    "colab": {
      "name": "Simulacao da Copa de Futebol das Olimpiadas.ipynb",
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      "authorship_tag": "ABX9TyP+luMafaqcDJORSmHJoV1i",
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      "name": "python"
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    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
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      "source": [
        "<a href=\"https://colab.research.google.com/github/ricardorocha86/Python-para-Iniciantes/blob/main/Simulacao_da_Copa_de_Futebol_das_Olimpiadas.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GL0KK35drDQl"
      },
      "source": [
        "# **Simulação da Copa de Futebol das Olimpíadas!**"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_nXOba9xrKYU"
      },
      "source": [
        "## **Objetivo**\n",
        "\n",
        "Investigar as probabilidades dos jogos de futebol na Copa das Olimpíadas de Tóquio 2021."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qm36EtrQO362"
      },
      "source": [
        "## **Perguntas** \n",
        "\n",
        "1. Qual seleção é mais provável ser campeã?\n",
        "2. Quais as probabilidades das seleções avançarem para segunda fase?\n",
        "3. Quais as probabilidades das seleções ficarem em 1º, 2º, 3º e 4º em seus grupos na primeira fase?\n",
        "4. A força de uma equipe é proporcional a sua probabilidade de vencer a competição? Se não, porquê?\n",
        "5. Qual a probabilidade de todos cabeça de chave passarem simultâneamente para a segunda fase? (Probabilidade da 'zebra')\n",
        "\n",
        "6. Qual a probabilidade de pelo menos uma das quatro seleções mais fracas ganhar a competição?\n",
        "7. Qual a probabilidade de vencer a competição por confederação?\n",
        "8. Qual a probabilidade de uma seleção sem medalhas em sua história vencer a competição?\n",
        "\n",
        "9. Se o Brasil jogar com a Alemanha, qual a probabilidade de acontecer um 7x1 para a Alemanha? E um 7x1 para o Brasil? Quais os placares mais prováveis?\n",
        "10. Qual a probabilidade de cada grupo apresentar um campeão?\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OKY5q9vjjvAn"
      },
      "source": [
        "![](https://pbs.twimg.com/media/EzfBqoFXMAAdvOR?format=jpg&name=large)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LhDKOhiA8WpN"
      },
      "source": [
        "## Importação dos Dados"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "IUhDB4fBIb9r"
      },
      "source": [
        "import pandas as pd\n",
        "import random\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "from scipy.stats import poisson\n",
        "from collections import Counter"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ibBGCgoiRu3r"
      },
      "source": [
        "from google.colab import auth\n",
        "auth.authenticate_user()\n",
        "\n",
        "from oauth2client.client import GoogleCredentials\n",
        "import gspread\n",
        "gc = gspread.authorize(GoogleCredentials.get_application_default())\n",
        "wb = gc.open_by_url('https://docs.google.com/spreadsheets/d/1dJrLGRMZvk-NU1O2AyNKFoIgTtrvosBKpof-fzBOWVE/edit#gid=0')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xxiRbXHFikqD",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 330
        },
        "outputId": "8f0a46d2-e455-43a8-9af4-6b17307c5f2a"
      },
      "source": [
        "planilha = wb.worksheet('seleções')\n",
        "dados_cru = planilha.get_all_values()\n",
        "dados = pd.DataFrame(dados_cru)\n",
        "dados.head()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <th></th>\n",
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              "      <th>10</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>País</td>\n",
              "      <td>Nome FIFA</td>\n",
              "      <td>Grupo</td>\n",
              "      <td>Confederação</td>\n",
              "      <td>Bandeira</td>\n",
              "      <td>Cabeça-de-chave</td>\n",
              "      <td>Ranking FIFA (07/04)</td>\n",
              "      <td>Pontuação FIFA (07/04)</td>\n",
              "      <td>Ouros</td>\n",
              "      <td>Pratas</td>\n",
              "      <td>Bronzes</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>França</td>\n",
              "      <td>France</td>\n",
              "      <td>A</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>2</td>\n",
              "      <td>1757</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>Brasil</td>\n",
              "      <td>Brazil</td>\n",
              "      <td>D</td>\n",
              "      <td>CONMEBOL</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>3</td>\n",
              "      <td>1742</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>Espanha</td>\n",
              "      <td>Spain</td>\n",
              "      <td>C</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>6</td>\n",
              "      <td>1648</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>Argentina</td>\n",
              "      <td>Argentina</td>\n",
              "      <td>C</td>\n",
              "      <td>CONMEBOL</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>8</td>\n",
              "      <td>1641</td>\n",
              "      <td>2</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
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            ],
            "text/plain": [
              "          0          1      2   ...     8       9        10\n",
              "0       País  Nome FIFA  Grupo  ...  Ouros  Pratas  Bronzes\n",
              "1     França     France      A  ...      1       1        0\n",
              "2     Brasil     Brazil      D  ...      1       3        2\n",
              "3    Espanha      Spain      C  ...      1       2        0\n",
              "4  Argentina  Argentina      C  ...      2       2        0\n",
              "\n",
              "[5 rows x 11 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 40
        }
      ]
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    {
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        "id": "H_lbxiQQD1sg",
        "outputId": "347904ca-e6ec-419f-e9a9-e42c7e234376"
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      "source": [
        "dados.columns = dados.iloc[0]\n",
        "dados = dados.iloc[1:]\n",
        "dados"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <th></th>\n",
              "      <th>País</th>\n",
              "      <th>Nome FIFA</th>\n",
              "      <th>Grupo</th>\n",
              "      <th>Confederação</th>\n",
              "      <th>Bandeira</th>\n",
              "      <th>Cabeça-de-chave</th>\n",
              "      <th>Ranking FIFA (07/04)</th>\n",
              "      <th>Pontuação FIFA (07/04)</th>\n",
              "      <th>Ouros</th>\n",
              "      <th>Pratas</th>\n",
              "      <th>Bronzes</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>França</td>\n",
              "      <td>France</td>\n",
              "      <td>A</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>2</td>\n",
              "      <td>1757</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
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              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>Brasil</td>\n",
              "      <td>Brazil</td>\n",
              "      <td>D</td>\n",
              "      <td>CONMEBOL</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>3</td>\n",
              "      <td>1742</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>Espanha</td>\n",
              "      <td>Spain</td>\n",
              "      <td>C</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>6</td>\n",
              "      <td>1648</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>Argentina</td>\n",
              "      <td>Argentina</td>\n",
              "      <td>C</td>\n",
              "      <td>CONMEBOL</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>8</td>\n",
              "      <td>1641</td>\n",
              "      <td>2</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>México</td>\n",
              "      <td>Mexico</td>\n",
              "      <td>A</td>\n",
              "      <td>CONCACAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>11</td>\n",
              "      <td>1629</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>Alemanha</td>\n",
              "      <td>Germany</td>\n",
              "      <td>D</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>12</td>\n",
              "      <td>1609</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>Honduras</td>\n",
              "      <td>Honduras</td>\n",
              "      <td>B</td>\n",
              "      <td>CONCACAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>67</td>\n",
              "      <td>1361</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>Japão</td>\n",
              "      <td>Japan</td>\n",
              "      <td>A</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>28</td>\n",
              "      <td>1509</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>Romênia</td>\n",
              "      <td>Romania</td>\n",
              "      <td>B</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>43</td>\n",
              "      <td>1449</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>10</th>\n",
              "      <td>Coréia do Sul</td>\n",
              "      <td>Korea Republic</td>\n",
              "      <td>B</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>39</td>\n",
              "      <td>1460</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>Austrália</td>\n",
              "      <td>Australia</td>\n",
              "      <td>C</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>41</td>\n",
              "      <td>1457</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>12</th>\n",
              "      <td>Egito</td>\n",
              "      <td>Egypt</td>\n",
              "      <td>C</td>\n",
              "      <td>CAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>46</td>\n",
              "      <td>1432</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>Costa do Marfim</td>\n",
              "      <td>Côte d'Ivoire</td>\n",
              "      <td>D</td>\n",
              "      <td>CAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>59</td>\n",
              "      <td>1384</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>Arábia Saudita</td>\n",
              "      <td>Saudi Arabia</td>\n",
              "      <td>D</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>65</td>\n",
              "      <td>1364</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>15</th>\n",
              "      <td>África do Sul</td>\n",
              "      <td>South Africa</td>\n",
              "      <td>A</td>\n",
              "      <td>CAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>75</td>\n",
              "      <td>1325</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>16</th>\n",
              "      <td>Nova Zelândia</td>\n",
              "      <td>New Zealand</td>\n",
              "      <td>B</td>\n",
              "      <td>OFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>122</td>\n",
              "      <td>1149</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "0              País       Nome FIFA Grupo  ... Ouros Pratas Bronzes\n",
              "1            França          France     A  ...     1      1       0\n",
              "2            Brasil          Brazil     D  ...     1      3       2\n",
              "3           Espanha           Spain     C  ...     1      2       0\n",
              "4         Argentina       Argentina     C  ...     2      2       0\n",
              "5            México          Mexico     A  ...     1      0       0\n",
              "6          Alemanha         Germany     D  ...     1      1       1\n",
              "7          Honduras        Honduras     B  ...     0      0       0\n",
              "8             Japão           Japan     A  ...     0      0       0\n",
              "9           Romênia         Romania     B  ...     0      0       0\n",
              "10    Coréia do Sul  Korea Republic     B  ...     0      0       0\n",
              "11        Austrália       Australia     C  ...     0      0       0\n",
              "12            Egito           Egypt     C  ...     0      0       0\n",
              "13  Costa do Marfim   Côte d'Ivoire     D  ...     0      0       0\n",
              "14   Arábia Saudita    Saudi Arabia     D  ...     0      0       0\n",
              "15    África do Sul    South Africa     A  ...     0      0       0\n",
              "16    Nova Zelândia     New Zealand     B  ...     0      0       0\n",
              "\n",
              "[16 rows x 11 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 41
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wyT_kd1Daevw"
      },
      "source": [
        "dados.to_csv('dados-futebol-olimpiada.csv')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tb3WqoRTkp6z"
      },
      "source": [
        "## Gráficos dos Grupos\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "56t_MdOarPsP",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 946
        },
        "outputId": "505ee46b-0e16-425b-8c32-6d2565035e9b"
      },
      "source": [
        "def plotgrupo(grupo = 'A', salvar = False):\n",
        "    d = dados.loc[dados['Grupo'] == grupo]\n",
        "    fig = plt.figure(figsize = (4, 3))\n",
        "    for i in range(4):\n",
        "        ax = plt.subplot(2, 2, i + 1) \n",
        "        a = plt.imread(d['Bandeira'].iloc[i])\n",
        "        ax.get_xaxis().set_visible(False)\n",
        "        ax.get_yaxis().set_visible(False)\n",
        "        plt.title(d['País'].iloc[i], size = 10)\n",
        "        plt.imshow(a)\n",
        "    plt.tight_layout(w_pad = 2) \n",
        "    plt.suptitle('Grupo ' + grupo, size = 14, y = 1.05)\n",
        "    if salvar:\n",
        "        plt.savefig('grupo' + grupo + '.png', transparent = True)\n",
        "\n",
        "plotgrupo('A', True)\n",
        "plotgrupo('B')\n",
        "plotgrupo('C')\n",
        "plotgrupo('D')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 288x216 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 288x216 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 288x216 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 288x216 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "b-oOpVX02Csl"
      },
      "source": [
        "## Criando a variável **Força** de cada seleção"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "USXZ3ztYnI1P",
        "outputId": "f5ae6d2a-00aa-4f77-b3be-15a8320fc518"
      },
      "source": [
        "dados.info()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 16 entries, 1 to 16\n",
            "Data columns (total 11 columns):\n",
            " #   Column                  Non-Null Count  Dtype \n",
            "---  ------                  --------------  ----- \n",
            " 0   País                    16 non-null     object\n",
            " 1   Nome FIFA               16 non-null     object\n",
            " 2   Grupo                   16 non-null     object\n",
            " 3   Confederação            16 non-null     object\n",
            " 4   Bandeira                16 non-null     object\n",
            " 5   Cabeça-de-chave         16 non-null     object\n",
            " 6   Ranking FIFA (07/04)    16 non-null     object\n",
            " 7   Pontuação FIFA (07/04)  16 non-null     object\n",
            " 8   Ouros                   16 non-null     object\n",
            " 9   Pratas                  16 non-null     object\n",
            " 10  Bronzes                 16 non-null     object\n",
            "dtypes: object(11)\n",
            "memory usage: 1.5+ KB\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SFEgeUDomqvK"
      },
      "source": [
        "for i in ['Ranking FIFA (07/04)', 'Pontuação FIFA (07/04)', 'Ouros', 'Pratas', 'Bronzes']:\n",
        "    dados[i] = dados[i].astype(int)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "oYROsJ2TtBwv"
      },
      "source": [
        "M = max(dados['Pontuação FIFA (07/04)'])\n",
        "dados['Força'] = (1.2 * dados['Pontuação FIFA (07/04)']/M)**2"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 884
        },
        "id": "T9u2g3YLl5pg",
        "outputId": "4c4054f3-539f-4202-8b23-1304d3063557"
      },
      "source": [
        "dados"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>País</th>\n",
              "      <th>Nome FIFA</th>\n",
              "      <th>Grupo</th>\n",
              "      <th>Confederação</th>\n",
              "      <th>Bandeira</th>\n",
              "      <th>Cabeça-de-chave</th>\n",
              "      <th>Ranking FIFA (07/04)</th>\n",
              "      <th>Pontuação FIFA (07/04)</th>\n",
              "      <th>Ouros</th>\n",
              "      <th>Pratas</th>\n",
              "      <th>Bronzes</th>\n",
              "      <th>Força</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>França</td>\n",
              "      <td>France</td>\n",
              "      <td>A</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>2</td>\n",
              "      <td>1757</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1.440000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>Brasil</td>\n",
              "      <td>Brazil</td>\n",
              "      <td>D</td>\n",
              "      <td>CONMEBOL</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>3</td>\n",
              "      <td>1742</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>2</td>\n",
              "      <td>1.415518</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>Espanha</td>\n",
              "      <td>Spain</td>\n",
              "      <td>C</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>6</td>\n",
              "      <td>1648</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "      <td>1.266874</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>Argentina</td>\n",
              "      <td>Argentina</td>\n",
              "      <td>C</td>\n",
              "      <td>CONMEBOL</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>8</td>\n",
              "      <td>1641</td>\n",
              "      <td>2</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "      <td>1.256134</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>México</td>\n",
              "      <td>Mexico</td>\n",
              "      <td>A</td>\n",
              "      <td>CONCACAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>11</td>\n",
              "      <td>1629</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1.237830</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>Alemanha</td>\n",
              "      <td>Germany</td>\n",
              "      <td>D</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>12</td>\n",
              "      <td>1609</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1.207622</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>Honduras</td>\n",
              "      <td>Honduras</td>\n",
              "      <td>B</td>\n",
              "      <td>CONCACAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>67</td>\n",
              "      <td>1361</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.864043</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>Japão</td>\n",
              "      <td>Japan</td>\n",
              "      <td>A</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>28</td>\n",
              "      <td>1509</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1.062178</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>Romênia</td>\n",
              "      <td>Romania</td>\n",
              "      <td>B</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>43</td>\n",
              "      <td>1449</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.979390</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>10</th>\n",
              "      <td>Coréia do Sul</td>\n",
              "      <td>Korea Republic</td>\n",
              "      <td>B</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>39</td>\n",
              "      <td>1460</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.994317</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>Austrália</td>\n",
              "      <td>Australia</td>\n",
              "      <td>C</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>41</td>\n",
              "      <td>1457</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.990235</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>12</th>\n",
              "      <td>Egito</td>\n",
              "      <td>Egypt</td>\n",
              "      <td>C</td>\n",
              "      <td>CAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>46</td>\n",
              "      <td>1432</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.956544</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>Costa do Marfim</td>\n",
              "      <td>Côte d'Ivoire</td>\n",
              "      <td>D</td>\n",
              "      <td>CAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>59</td>\n",
              "      <td>1384</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.893493</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>Arábia Saudita</td>\n",
              "      <td>Saudi Arabia</td>\n",
              "      <td>D</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>65</td>\n",
              "      <td>1364</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.867856</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>15</th>\n",
              "      <td>África do Sul</td>\n",
              "      <td>South Africa</td>\n",
              "      <td>A</td>\n",
              "      <td>CAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>75</td>\n",
              "      <td>1325</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.818937</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>16</th>\n",
              "      <td>Nova Zelândia</td>\n",
              "      <td>New Zealand</td>\n",
              "      <td>B</td>\n",
              "      <td>OFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>122</td>\n",
              "      <td>1149</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.615827</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "0              País       Nome FIFA Grupo  ... Pratas Bronzes     Força\n",
              "1            França          France     A  ...      1       0  1.440000\n",
              "2            Brasil          Brazil     D  ...      3       2  1.415518\n",
              "3           Espanha           Spain     C  ...      2       0  1.266874\n",
              "4         Argentina       Argentina     C  ...      2       0  1.256134\n",
              "5            México          Mexico     A  ...      0       0  1.237830\n",
              "6          Alemanha         Germany     D  ...      1       1  1.207622\n",
              "7          Honduras        Honduras     B  ...      0       0  0.864043\n",
              "8             Japão           Japan     A  ...      0       0  1.062178\n",
              "9           Romênia         Romania     B  ...      0       0  0.979390\n",
              "10    Coréia do Sul  Korea Republic     B  ...      0       0  0.994317\n",
              "11        Austrália       Australia     C  ...      0       0  0.990235\n",
              "12            Egito           Egypt     C  ...      0       0  0.956544\n",
              "13  Costa do Marfim   Côte d'Ivoire     D  ...      0       0  0.893493\n",
              "14   Arábia Saudita    Saudi Arabia     D  ...      0       0  0.867856\n",
              "15    África do Sul    South Africa     A  ...      0       0  0.818937\n",
              "16    Nova Zelândia     New Zealand     B  ...      0       0  0.615827\n",
              "\n",
              "[16 rows x 12 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 47
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mmf--NEC795M"
      },
      "source": [
        "---"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "eeQBDnWcmOCv"
      },
      "source": [
        "## Início das funções da simulação\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4KD9lAWE85gc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 36
        },
        "outputId": "5a6824a5-ccaa-4cf2-d151-1504f4a1477b"
      },
      "source": [
        "# Função que retorna o resultado V, D ou E para as entradas dos gols de cada equipe eu uma partida simulada\n",
        "\n",
        "def Resultado(gols1, gols2):\n",
        "    if gols1 > gols2:\n",
        "        res = 'V'\n",
        "    if gols1 < gols2:\n",
        "        res = 'D' \n",
        "    if gols1 == gols2:\n",
        "        res = 'E'       \n",
        "    return res\n",
        "\n",
        "Resultado(2,2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            },
            "text/plain": [
              "'E'"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 48
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BMDTOhofnv4w",
        "outputId": "d8dd861a-d0ab-4ea0-8ac3-b3c149dcc7aa"
      },
      "source": [
        "# Retorna os pontos de cada equipe ao fim da partida (primeira fase da copa)\n",
        "\n",
        "def Pontos(gols1, gols2):\n",
        "    rst = Resultado(gols1, gols2)\n",
        "    if rst == 'V':\n",
        "        pontos1, pontos2 = 3, 0\n",
        "    if rst == 'E':\n",
        "        pontos1, pontos2 = 1, 1\n",
        "    if rst == 'D':\n",
        "        pontos1, pontos2 = 0, 3\n",
        "    return pontos1, pontos2, rst\n",
        "\n",
        "Pontos(1, 2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0, 3, 'D')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 49
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "XKo1SCQsnwMf",
        "outputId": "c3945905-e136-415a-ba0f-f828ae12c23d"
      },
      "source": [
        "# Função para apresentar os resultados de cada jogo. \n",
        "# Entre a força das duas equipes e retorna os detalhes da partida simulada pela VA Poisson\n",
        "\n",
        "def Jogo(time1, time2):\n",
        "    gols1 = int(poisson.rvs(mu = time1, size = 1))\n",
        "    gols2 = int(poisson.rvs(mu = time2, size = 1)) \n",
        "    saldo1 = gols1 - gols2\n",
        "    saldo2 = -saldo1\n",
        "    pontos1, pontos2, result = Pontos(gols1, gols2)\n",
        "    placar = '{}x{}'.format(gols1, gols2)\n",
        "    return [gols1, gols2, saldo1, saldo2, pontos1, pontos2, result, placar]\n",
        "\n",
        "Jogo(1.2, 0.8)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[1, 1, 0, 0, 1, 1, 'E', '1x1']"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 50
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 175
        },
        "id": "1vKf1oudI6AX",
        "outputId": "4b1781d4-78ff-423d-8a33-208f3a7f2c8b"
      },
      "source": [
        "dados.loc[dados['Grupo'] == 'A'][['País', 'Força']].reset_index(drop = True)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>País</th>\n",
              "      <th>Força</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>França</td>\n",
              "      <td>1.440000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>México</td>\n",
              "      <td>1.237830</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>Japão</td>\n",
              "      <td>1.062178</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>África do Sul</td>\n",
              "      <td>0.818937</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "0           País     Força\n",
              "0         França  1.440000\n",
              "1         México  1.237830\n",
              "2          Japão  1.062178\n",
              "3  África do Sul  0.818937"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 51
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_868PM6U9UA_",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "1a2934d2-8681-49fe-aa09-6715b876c1d4"
      },
      "source": [
        "def JogosGrupo(dados, grupo): \n",
        "    aux = dados.loc[dados['Grupo'] == grupo][['País', 'Força']].reset_index(drop = True)\n",
        "\n",
        "    time1, time2, time3, time4 = aux['Força']\n",
        "    nome1, nome2, nome3, nome4 = aux['País']\n",
        "\n",
        "    pt1, pt2, pt3, pt4 = 0, 0, 0, 0\n",
        "    gp1, gp2, gp3, gp4 = 0, 0, 0, 0\n",
        "    sg1, sg2, sg3, sg4 = 0, 0, 0, 0\n",
        "\n",
        "    jogo1 = Jogo(time1, time2)\n",
        "    jogo2 = Jogo(time3, time4)\n",
        "\n",
        "    jogo3 = Jogo(time1, time3)\n",
        "    jogo4 = Jogo(time2, time4)\n",
        "\n",
        "    jogo5 = Jogo(time1, time4)\n",
        "    jogo6 = Jogo(time2, time3)\n",
        "\n",
        "    gp1, gp2, sg1, sg2, pt1, pt2 = gp1 + jogo1[0], gp2 + jogo1[1], sg1 + jogo1[2], sg2 + jogo1[3], pt1 + jogo1[4], pt2 + jogo1[5]\n",
        "    gp3, gp4, sg3, sg4, pt3, pt4 = gp3 + jogo2[0], gp4 + jogo2[1], sg3 + jogo2[2], sg4 + jogo2[3], pt3 + jogo2[4], pt4 + jogo2[5]\n",
        "    gp1, gp3, sg1, sg3, pt1, pt3 = gp1 + jogo3[0], gp3 + jogo3[1], sg1 + jogo3[2], sg3 + jogo3[3], pt1 + jogo3[4], pt3 + jogo3[5]\n",
        "    gp2, gp4, sg2, sg4, pt2, pt4 = gp2 + jogo4[0], gp4 + jogo4[1], sg2 + jogo4[2], sg4 + jogo4[3], pt2 + jogo4[4], pt4 + jogo4[5]\n",
        "    gp1, gp4, sg1, sg4, pt1, pt4 = gp1 + jogo5[0], gp4 + jogo5[1], sg1 + jogo5[2], sg4 + jogo5[3], pt1 + jogo5[4], pt4 + jogo5[5]\n",
        "    gp2, gp3, sg2, sg3, pt2, pt3 = gp2 + jogo6[0], gp3 + jogo6[1], sg2 + jogo6[2], sg3 + jogo6[3], pt2 + jogo6[4], pt3 + jogo6[5]\n",
        "\n",
        "    partidas = [ nome1 + ' x ' + nome2, nome3 + ' x ' + nome4, nome1 + ' x ' + nome3, \n",
        "                 nome2 + ' x ' + nome4, nome1 + ' x ' + nome4, nome2 + ' x ' + nome3 ]\n",
        "    resultados = [ jogo1[6], jogo2[6], jogo3[6], jogo4[6], jogo5[6], jogo6[6] ]\n",
        "    placares = [ jogo1[-1], jogo2[-1], jogo3[-1], jogo4[-1], jogo5[-1], jogo6[-1] ]\n",
        "    linhas = aux['País']\n",
        "    cols = ['Pontos', 'Saldo de Gols', 'Gols Pró']\n",
        "    tab = pd.DataFrame([[pt1, pt2, pt3, pt4], [sg1, sg2, sg3, sg4], [gp1, gp2, gp3, gp4]], index = cols, columns = linhas).transpose()\n",
        "    \n",
        "    tab = tab.sort_values(['Pontos', 'Saldo de Gols', 'Gols Pró'], ascending = False)\n",
        "    tab['Posição'] = [1, 2, 3, 4]\n",
        "\n",
        "    jogos = pd.DataFrame([partidas, placares, resultados]).transpose()\n",
        "    jogos.columns = ['Partida', 'Placar', 'Resultado']\n",
        "\n",
        "    return [tab, jogos]\n",
        "\n",
        "JogosGrupo(dados, 'D')    "
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[                 Pontos  Saldo de Gols  Gols Pró  Posição\n",
              " País                                                     \n",
              " Brasil                9              3         5        1\n",
              " Alemanha              4              2         5        2\n",
              " Costa do Marfim       2             -1         1        3\n",
              " Arábia Saudita        1             -4         1        4,\n",
              "                             Partida Placar Resultado\n",
              " 0                 Brasil x Alemanha    2x1         V\n",
              " 1  Costa do Marfim x Arábia Saudita    0x0         E\n",
              " 2          Brasil x Costa do Marfim    1x0         V\n",
              " 3         Alemanha x Arábia Saudita    3x0         V\n",
              " 4           Brasil x Arábia Saudita    2x1         V\n",
              " 5        Alemanha x Costa do Marfim    1x1         E]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 52
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LE48fU1Yh5xD",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 36
        },
        "outputId": "97589362-186f-4c2c-bffc-c520f12b217a"
      },
      "source": [
        "def JogoMataMata(sel1, sel2):\n",
        "    time1 = dados.loc[dados['País'] == sel1]['Força']\n",
        "    time2 = dados.loc[dados['País'] == sel2]['Força']\n",
        "    gols1 = int(poisson.rvs(mu = time1, size = 1))\n",
        "    gols2 = int(poisson.rvs(mu = time2, size = 1))  \n",
        "    resultado = Resultado(gols1, gols2)\n",
        "    if resultado == 'E':\n",
        "        resultado = random.sample(['V', 'D'], 1)\n",
        "    placar = '{}x{}'.format(gols1, gols2)\n",
        "    vencedor = sel1 if resultado == 'V' else sel2\n",
        "    return vencedor\n",
        " \n",
        "JogoMataMata('Brasil', 'Argentina')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            },
            "text/plain": [
              "'Argentina'"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 53
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vxPoq-Zoh5uS"
      },
      "source": [
        "**Quartas de final**\n",
        "\n",
        "1: 1A vs 2B\\\n",
        "2: 1B vs 2A\\\n",
        "3: 1C vs 2D\\\n",
        "4: 1D vs *2C*"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 551
        },
        "id": "EwZd1yevL_Mk",
        "outputId": "64520cac-62ea-47bf-c228-b60de0890367"
      },
      "source": [
        "    cols = ['1st', '2nd', '3th', '4th', 'Quartas', 'Semis', 'Final', 'Campeão']\n",
        "    lins = dados['País'].to_list()\n",
        "    n = len(lins)\n",
        "    m = len(cols)\n",
        "    aux = np.array(np.zeros(n*m).reshape(n, m))\n",
        "    info = pd.DataFrame(aux, columns = cols, index = lins) \n",
        "    info = info.astype(int)\n",
        "    info"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>1st</th>\n",
              "      <th>2nd</th>\n",
              "      <th>3th</th>\n",
              "      <th>4th</th>\n",
              "      <th>Quartas</th>\n",
              "      <th>Semis</th>\n",
              "      <th>Final</th>\n",
              "      <th>Campeão</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>França</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Brasil</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Espanha</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Argentina</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>México</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Alemanha</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Honduras</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Japão</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Romênia</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Coréia do Sul</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Austrália</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Egito</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Costa do Marfim</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Arábia Saudita</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>África do Sul</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Nova Zelândia</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                 1st  2nd  3th  4th  Quartas  Semis  Final  Campeão\n",
              "França             0    0    0    0        0      0      0        0\n",
              "Brasil             0    0    0    0        0      0      0        0\n",
              "Espanha            0    0    0    0        0      0      0        0\n",
              "Argentina          0    0    0    0        0      0      0        0\n",
              "México             0    0    0    0        0      0      0        0\n",
              "Alemanha           0    0    0    0        0      0      0        0\n",
              "Honduras           0    0    0    0        0      0      0        0\n",
              "Japão              0    0    0    0        0      0      0        0\n",
              "Romênia            0    0    0    0        0      0      0        0\n",
              "Coréia do Sul      0    0    0    0        0      0      0        0\n",
              "Austrália          0    0    0    0        0      0      0        0\n",
              "Egito              0    0    0    0        0      0      0        0\n",
              "Costa do Marfim    0    0    0    0        0      0      0        0\n",
              "Arábia Saudita     0    0    0    0        0      0      0        0\n",
              "África do Sul      0    0    0    0        0      0      0        0\n",
              "Nova Zelândia      0    0    0    0        0      0      0        0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 54
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cIWGuqgA9b7u",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 551
        },
        "outputId": "ecf682f1-4d30-47e3-c072-fe22f7fe5f4d"
      },
      "source": [
        "def SimulaCopa(dados):\n",
        "    cols = ['1st', '2nd', '3th', '4th', 'Quartas', 'Semis', 'Final', 'Campeão']\n",
        "    lins = dados['País'].to_list()\n",
        "    n = len(lins)\n",
        "    m = len(cols)\n",
        "    aux = np.array(np.zeros(n*m).reshape(n, m))\n",
        "    info = pd.DataFrame(aux, columns = cols, index = lins) \n",
        "    info = info.astype(int)\n",
        "\n",
        "    top8 = []\n",
        "    for i in list('ABCD'):\n",
        "        a = JogosGrupo(dados, i)[0] \n",
        "        top8 += a.index[:2].tolist()\n",
        "        anomes = a.index.to_list() \n",
        "        info.at[anomes[0], '1st'] = 1\n",
        "        info.at[anomes[1], '2nd'] = 1\n",
        "        info.at[anomes[2], '3th'] = 1\n",
        "        info.at[anomes[3], '4th'] = 1\n",
        "\n",
        "    sf1 = JogoMataMata(top8[0], top8[3])\n",
        "    sf2 = JogoMataMata(top8[2], top8[1])\n",
        "    sf3 = JogoMataMata(top8[4], top8[7])\n",
        "    sf4 = JogoMataMata(top8[6], top8[5])\n",
        "\n",
        "    top4 = [sf1, sf2, sf3, sf4]\n",
        "\n",
        "    f1 = JogoMataMata(sf1, sf2)\n",
        "    f2 = JogoMataMata(sf3, sf4)\n",
        "\n",
        "    top2 = [f1, f2]\n",
        "\n",
        "    top1 = [JogoMataMata(f1, f2)]\n",
        "\n",
        "    info.at[top8, 'Quartas'] = 1\n",
        "    info.at[top4, 'Semis'] = 1\n",
        "    info.at[top2, 'Final'] = 1\n",
        "    info.at[top1, 'Campeão'] = 1\n",
        "    return info\n",
        "\n",
        "SimulaCopa(dados)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
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              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>1st</th>\n",
              "      <th>2nd</th>\n",
              "      <th>3th</th>\n",
              "      <th>4th</th>\n",
              "      <th>Quartas</th>\n",
              "      <th>Semis</th>\n",
              "      <th>Final</th>\n",
              "      <th>Campeão</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>França</th>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Brasil</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Espanha</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Argentina</th>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>México</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Alemanha</th>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Honduras</th>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Japão</th>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Romênia</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Coréia do Sul</th>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Austrália</th>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Egito</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Costa do Marfim</th>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Arábia Saudita</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>África do Sul</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Nova Zelândia</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                 1st  2nd  3th  4th  Quartas  Semis  Final  Campeão\n",
              "França             0    1    0    0        1      1      1        0\n",
              "Brasil             0    0    0    1        0      0      0        0\n",
              "Espanha            0    0    1    0        0      0      0        0\n",
              "Argentina          1    0    0    0        1      1      0        0\n",
              "México             0    0    0    1        0      0      0        0\n",
              "Alemanha           1    0    0    0        1      0      0        0\n",
              "Honduras           1    0    0    0        1      0      0        0\n",
              "Japão              1    0    0    0        1      0      0        0\n",
              "Romênia            0    0    1    0        0      0      0        0\n",
              "Coréia do Sul      0    1    0    0        1      1      0        0\n",
              "Austrália          0    1    0    0        1      1      1        1\n",
              "Egito              0    0    0    1        0      0      0        0\n",
              "Costa do Marfim    0    1    0    0        1      0      0        0\n",
              "Arábia Saudita     0    0    1    0        0      0      0        0\n",
              "África do Sul      0    0    1    0        0      0      0        0\n",
              "Nova Zelândia      0    0    0    1        0      0      0        0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 55
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "19Cs3L2F9UG4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 753
        },
        "outputId": "12f52827-d400-465f-f826-106cbe7871b3"
      },
      "source": [
        "def SimulacaoTotal(dados, S = 1000): \n",
        "    print('Iniciando simulação...')\n",
        "    info = SimulaCopa(dados)\n",
        "    for i in range(S-1):\n",
        "        info += SimulaCopa(dados)\n",
        "        if (i+2)%(S/10) == 0:\n",
        "            print('Simulando Copa: {:.0f}% pronto'.format(100*((i+2)/S)))\n",
        "    return info.sort_values(by = 'Campeão', ascending = False)/S\n",
        "\n",
        "sim = SimulacaoTotal(dados, 10000)\n",
        "sim"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Iniciando simulação...\n",
            "Simulando Copa: 10% pronto\n",
            "Simulando Copa: 20% pronto\n",
            "Simulando Copa: 30% pronto\n",
            "Simulando Copa: 40% pronto\n",
            "Simulando Copa: 50% pronto\n",
            "Simulando Copa: 60% pronto\n",
            "Simulando Copa: 70% pronto\n",
            "Simulando Copa: 80% pronto\n",
            "Simulando Copa: 90% pronto\n",
            "Simulando Copa: 100% pronto\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
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              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>1st</th>\n",
              "      <th>2nd</th>\n",
              "      <th>3th</th>\n",
              "      <th>4th</th>\n",
              "      <th>Quartas</th>\n",
              "      <th>Semis</th>\n",
              "      <th>Final</th>\n",
              "      <th>Campeão</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Brasil</th>\n",
              "      <td>0.4105</td>\n",
              "      <td>0.2716</td>\n",
              "      <td>0.1908</td>\n",
              "      <td>0.1271</td>\n",
              "      <td>0.6821</td>\n",
              "      <td>0.3705</td>\n",
              "      <td>0.2044</td>\n",
              "      <td>0.1459</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Argentina</th>\n",
              "      <td>0.3135</td>\n",
              "      <td>0.2686</td>\n",
              "      <td>0.2295</td>\n",
              "      <td>0.1884</td>\n",
              "      <td>0.5821</td>\n",
              "      <td>0.3026</td>\n",
              "      <td>0.1639</td>\n",
              "      <td>0.1112</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Espanha</th>\n",
              "      <td>0.3237</td>\n",
              "      <td>0.2713</td>\n",
              "      <td>0.2183</td>\n",
              "      <td>0.1867</td>\n",
              "      <td>0.5950</td>\n",
              "      <td>0.3003</td>\n",
              "      <td>0.1641</td>\n",
              "      <td>0.1088</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>França</th>\n",
              "      <td>0.3959</td>\n",
              "      <td>0.2727</td>\n",
              "      <td>0.1965</td>\n",
              "      <td>0.1349</td>\n",
              "      <td>0.6686</td>\n",
              "      <td>0.4085</td>\n",
              "      <td>0.2450</td>\n",
              "      <td>0.1053</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Alemanha</th>\n",
              "      <td>0.2934</td>\n",
              "      <td>0.2828</td>\n",
              "      <td>0.2367</td>\n",
              "      <td>0.1871</td>\n",
              "      <td>0.5762</td>\n",
              "      <td>0.2975</td>\n",
              "      <td>0.1405</td>\n",
              "      <td>0.0950</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>México</th>\n",
              "      <td>0.2819</td>\n",
              "      <td>0.2787</td>\n",
              "      <td>0.2462</td>\n",
              "      <td>0.1932</td>\n",
              "      <td>0.5606</td>\n",
              "      <td>0.3343</td>\n",
              "      <td>0.1930</td>\n",
              "      <td>0.0712</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Austrália</th>\n",
              "      <td>0.1947</td>\n",
              "      <td>0.2390</td>\n",
              "      <td>0.2614</td>\n",
              "      <td>0.3049</td>\n",
              "      <td>0.4337</td>\n",
              "      <td>0.2062</td>\n",
              "      <td>0.1098</td>\n",
              "      <td>0.0677</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Egito</th>\n",
              "      <td>0.1681</td>\n",
              "      <td>0.2211</td>\n",
              "      <td>0.2908</td>\n",
              "      <td>0.3200</td>\n",
              "      <td>0.3892</td>\n",
              "      <td>0.1805</td>\n",
              "      <td>0.0993</td>\n",
              "      <td>0.0585</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Japão</th>\n",
              "      <td>0.2079</td>\n",
              "      <td>0.2522</td>\n",
              "      <td>0.2773</td>\n",
              "      <td>0.2626</td>\n",
              "      <td>0.4601</td>\n",
              "      <td>0.2617</td>\n",
              "      <td>0.1422</td>\n",
              "      <td>0.0450</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Costa do Marfim</th>\n",
              "      <td>0.1538</td>\n",
              "      <td>0.2288</td>\n",
              "      <td>0.2832</td>\n",
              "      <td>0.3342</td>\n",
              "      <td>0.3826</td>\n",
              "      <td>0.1784</td>\n",
              "      <td>0.0625</td>\n",
              "      <td>0.0365</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Romênia</th>\n",
              "      <td>0.3081</td>\n",
              "      <td>0.2731</td>\n",
              "      <td>0.2373</td>\n",
              "      <td>0.1815</td>\n",
              "      <td>0.5812</td>\n",
              "      <td>0.2493</td>\n",
              "      <td>0.1105</td>\n",
              "      <td>0.0357</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Arábia Saudita</th>\n",
              "      <td>0.1423</td>\n",
              "      <td>0.2168</td>\n",
              "      <td>0.2893</td>\n",
              "      <td>0.3516</td>\n",
              "      <td>0.3591</td>\n",
              "      <td>0.1640</td>\n",
              "      <td>0.0555</td>\n",
              "      <td>0.0350</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Coréia do Sul</th>\n",
              "      <td>0.3077</td>\n",
              "      <td>0.2708</td>\n",
              "      <td>0.2263</td>\n",
              "      <td>0.1952</td>\n",
              "      <td>0.5785</td>\n",
              "      <td>0.2460</td>\n",
              "      <td>0.1085</td>\n",
              "      <td>0.0318</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Honduras</th>\n",
              "      <td>0.2558</td>\n",
              "      <td>0.2609</td>\n",
              "      <td>0.2550</td>\n",
              "      <td>0.2283</td>\n",
              "      <td>0.5167</td>\n",
              "      <td>0.2169</td>\n",
              "      <td>0.0831</td>\n",
              "      <td>0.0229</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>África do Sul</th>\n",
              "      <td>0.1143</td>\n",
              "      <td>0.1964</td>\n",
              "      <td>0.2800</td>\n",
              "      <td>0.4093</td>\n",
              "      <td>0.3107</td>\n",
              "      <td>0.1593</td>\n",
              "      <td>0.0825</td>\n",
              "      <td>0.0221</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Nova Zelândia</th>\n",
              "      <td>0.1284</td>\n",
              "      <td>0.1952</td>\n",
              "      <td>0.2814</td>\n",
              "      <td>0.3950</td>\n",
              "      <td>0.3236</td>\n",
              "      <td>0.1240</td>\n",
              "      <td>0.0352</td>\n",
              "      <td>0.0074</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                    1st     2nd     3th  ...   Semis   Final  Campeão\n",
              "Brasil           0.4105  0.2716  0.1908  ...  0.3705  0.2044   0.1459\n",
              "Argentina        0.3135  0.2686  0.2295  ...  0.3026  0.1639   0.1112\n",
              "Espanha          0.3237  0.2713  0.2183  ...  0.3003  0.1641   0.1088\n",
              "França           0.3959  0.2727  0.1965  ...  0.4085  0.2450   0.1053\n",
              "Alemanha         0.2934  0.2828  0.2367  ...  0.2975  0.1405   0.0950\n",
              "México           0.2819  0.2787  0.2462  ...  0.3343  0.1930   0.0712\n",
              "Austrália        0.1947  0.2390  0.2614  ...  0.2062  0.1098   0.0677\n",
              "Egito            0.1681  0.2211  0.2908  ...  0.1805  0.0993   0.0585\n",
              "Japão            0.2079  0.2522  0.2773  ...  0.2617  0.1422   0.0450\n",
              "Costa do Marfim  0.1538  0.2288  0.2832  ...  0.1784  0.0625   0.0365\n",
              "Romênia          0.3081  0.2731  0.2373  ...  0.2493  0.1105   0.0357\n",
              "Arábia Saudita   0.1423  0.2168  0.2893  ...  0.1640  0.0555   0.0350\n",
              "Coréia do Sul    0.3077  0.2708  0.2263  ...  0.2460  0.1085   0.0318\n",
              "Honduras         0.2558  0.2609  0.2550  ...  0.2169  0.0831   0.0229\n",
              "África do Sul    0.1143  0.1964  0.2800  ...  0.1593  0.0825   0.0221\n",
              "Nova Zelândia    0.1284  0.1952  0.2814  ...  0.1240  0.0352   0.0074\n",
              "\n",
              "[16 rows x 8 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 71
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "W_wT25shDtzB"
      },
      "source": [
        "#adicionando os resultados da simulacao ao conjunto de dados\n",
        "dados_sim = dados.set_index('País')\n",
        "dados_sim = pd.concat([dados_sim, sim], axis = 1).sort_values(by = 'Campeão', ascending = False)\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 884
        },
        "id": "oMcUSh2HGDY5",
        "outputId": "b06b0b72-4e8f-4656-e53e-7a6c0b1d4716"
      },
      "source": [
        "dados_sim"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
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              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Nome FIFA</th>\n",
              "      <th>Grupo</th>\n",
              "      <th>Confederação</th>\n",
              "      <th>Bandeira</th>\n",
              "      <th>Cabeça-de-chave</th>\n",
              "      <th>Ranking FIFA (07/04)</th>\n",
              "      <th>Pontuação FIFA (07/04)</th>\n",
              "      <th>Ouros</th>\n",
              "      <th>Pratas</th>\n",
              "      <th>Bronzes</th>\n",
              "      <th>Força</th>\n",
              "      <th>1st</th>\n",
              "      <th>2nd</th>\n",
              "      <th>3th</th>\n",
              "      <th>4th</th>\n",
              "      <th>Quartas</th>\n",
              "      <th>Semis</th>\n",
              "      <th>Final</th>\n",
              "      <th>Campeão</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Brasil</th>\n",
              "      <td>Brazil</td>\n",
              "      <td>D</td>\n",
              "      <td>CONMEBOL</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>3</td>\n",
              "      <td>1742</td>\n",
              "      <td>1</td>\n",
              "      <td>3</td>\n",
              "      <td>2</td>\n",
              "      <td>1.415518</td>\n",
              "      <td>0.4105</td>\n",
              "      <td>0.2716</td>\n",
              "      <td>0.1908</td>\n",
              "      <td>0.1271</td>\n",
              "      <td>0.6821</td>\n",
              "      <td>0.3705</td>\n",
              "      <td>0.2044</td>\n",
              "      <td>0.1459</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Argentina</th>\n",
              "      <td>Argentina</td>\n",
              "      <td>C</td>\n",
              "      <td>CONMEBOL</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>8</td>\n",
              "      <td>1641</td>\n",
              "      <td>2</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "      <td>1.256134</td>\n",
              "      <td>0.3135</td>\n",
              "      <td>0.2686</td>\n",
              "      <td>0.2295</td>\n",
              "      <td>0.1884</td>\n",
              "      <td>0.5821</td>\n",
              "      <td>0.3026</td>\n",
              "      <td>0.1639</td>\n",
              "      <td>0.1112</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Espanha</th>\n",
              "      <td>Spain</td>\n",
              "      <td>C</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>6</td>\n",
              "      <td>1648</td>\n",
              "      <td>1</td>\n",
              "      <td>2</td>\n",
              "      <td>0</td>\n",
              "      <td>1.266874</td>\n",
              "      <td>0.3237</td>\n",
              "      <td>0.2713</td>\n",
              "      <td>0.2183</td>\n",
              "      <td>0.1867</td>\n",
              "      <td>0.5950</td>\n",
              "      <td>0.3003</td>\n",
              "      <td>0.1641</td>\n",
              "      <td>0.1088</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>França</th>\n",
              "      <td>France</td>\n",
              "      <td>A</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>2</td>\n",
              "      <td>1757</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>1.440000</td>\n",
              "      <td>0.3959</td>\n",
              "      <td>0.2727</td>\n",
              "      <td>0.1965</td>\n",
              "      <td>0.1349</td>\n",
              "      <td>0.6686</td>\n",
              "      <td>0.4085</td>\n",
              "      <td>0.2450</td>\n",
              "      <td>0.1053</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Alemanha</th>\n",
              "      <td>Germany</td>\n",
              "      <td>D</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>12</td>\n",
              "      <td>1609</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>1.207622</td>\n",
              "      <td>0.2934</td>\n",
              "      <td>0.2828</td>\n",
              "      <td>0.2367</td>\n",
              "      <td>0.1871</td>\n",
              "      <td>0.5762</td>\n",
              "      <td>0.2975</td>\n",
              "      <td>0.1405</td>\n",
              "      <td>0.0950</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>México</th>\n",
              "      <td>Mexico</td>\n",
              "      <td>A</td>\n",
              "      <td>CONCACAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>11</td>\n",
              "      <td>1629</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1.237830</td>\n",
              "      <td>0.2819</td>\n",
              "      <td>0.2787</td>\n",
              "      <td>0.2462</td>\n",
              "      <td>0.1932</td>\n",
              "      <td>0.5606</td>\n",
              "      <td>0.3343</td>\n",
              "      <td>0.1930</td>\n",
              "      <td>0.0712</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Austrália</th>\n",
              "      <td>Australia</td>\n",
              "      <td>C</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>41</td>\n",
              "      <td>1457</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.990235</td>\n",
              "      <td>0.1947</td>\n",
              "      <td>0.2390</td>\n",
              "      <td>0.2614</td>\n",
              "      <td>0.3049</td>\n",
              "      <td>0.4337</td>\n",
              "      <td>0.2062</td>\n",
              "      <td>0.1098</td>\n",
              "      <td>0.0677</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Egito</th>\n",
              "      <td>Egypt</td>\n",
              "      <td>C</td>\n",
              "      <td>CAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>46</td>\n",
              "      <td>1432</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.956544</td>\n",
              "      <td>0.1681</td>\n",
              "      <td>0.2211</td>\n",
              "      <td>0.2908</td>\n",
              "      <td>0.3200</td>\n",
              "      <td>0.3892</td>\n",
              "      <td>0.1805</td>\n",
              "      <td>0.0993</td>\n",
              "      <td>0.0585</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Japão</th>\n",
              "      <td>Japan</td>\n",
              "      <td>A</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>28</td>\n",
              "      <td>1509</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1.062178</td>\n",
              "      <td>0.2079</td>\n",
              "      <td>0.2522</td>\n",
              "      <td>0.2773</td>\n",
              "      <td>0.2626</td>\n",
              "      <td>0.4601</td>\n",
              "      <td>0.2617</td>\n",
              "      <td>0.1422</td>\n",
              "      <td>0.0450</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Costa do Marfim</th>\n",
              "      <td>Côte d'Ivoire</td>\n",
              "      <td>D</td>\n",
              "      <td>CAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>59</td>\n",
              "      <td>1384</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.893493</td>\n",
              "      <td>0.1538</td>\n",
              "      <td>0.2288</td>\n",
              "      <td>0.2832</td>\n",
              "      <td>0.3342</td>\n",
              "      <td>0.3826</td>\n",
              "      <td>0.1784</td>\n",
              "      <td>0.0625</td>\n",
              "      <td>0.0365</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Romênia</th>\n",
              "      <td>Romania</td>\n",
              "      <td>B</td>\n",
              "      <td>UEFA</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>43</td>\n",
              "      <td>1449</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.979390</td>\n",
              "      <td>0.3081</td>\n",
              "      <td>0.2731</td>\n",
              "      <td>0.2373</td>\n",
              "      <td>0.1815</td>\n",
              "      <td>0.5812</td>\n",
              "      <td>0.2493</td>\n",
              "      <td>0.1105</td>\n",
              "      <td>0.0357</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Arábia Saudita</th>\n",
              "      <td>Saudi Arabia</td>\n",
              "      <td>D</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>65</td>\n",
              "      <td>1364</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.867856</td>\n",
              "      <td>0.1423</td>\n",
              "      <td>0.2168</td>\n",
              "      <td>0.2893</td>\n",
              "      <td>0.3516</td>\n",
              "      <td>0.3591</td>\n",
              "      <td>0.1640</td>\n",
              "      <td>0.0555</td>\n",
              "      <td>0.0350</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Coréia do Sul</th>\n",
              "      <td>Korea Republic</td>\n",
              "      <td>B</td>\n",
              "      <td>AFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Sim</td>\n",
              "      <td>39</td>\n",
              "      <td>1460</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.994317</td>\n",
              "      <td>0.3077</td>\n",
              "      <td>0.2708</td>\n",
              "      <td>0.2263</td>\n",
              "      <td>0.1952</td>\n",
              "      <td>0.5785</td>\n",
              "      <td>0.2460</td>\n",
              "      <td>0.1085</td>\n",
              "      <td>0.0318</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Honduras</th>\n",
              "      <td>Honduras</td>\n",
              "      <td>B</td>\n",
              "      <td>CONCACAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>67</td>\n",
              "      <td>1361</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.864043</td>\n",
              "      <td>0.2558</td>\n",
              "      <td>0.2609</td>\n",
              "      <td>0.2550</td>\n",
              "      <td>0.2283</td>\n",
              "      <td>0.5167</td>\n",
              "      <td>0.2169</td>\n",
              "      <td>0.0831</td>\n",
              "      <td>0.0229</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>África do Sul</th>\n",
              "      <td>South Africa</td>\n",
              "      <td>A</td>\n",
              "      <td>CAF</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>75</td>\n",
              "      <td>1325</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.818937</td>\n",
              "      <td>0.1143</td>\n",
              "      <td>0.1964</td>\n",
              "      <td>0.2800</td>\n",
              "      <td>0.4093</td>\n",
              "      <td>0.3107</td>\n",
              "      <td>0.1593</td>\n",
              "      <td>0.0825</td>\n",
              "      <td>0.0221</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Nova Zelândia</th>\n",
              "      <td>New Zealand</td>\n",
              "      <td>B</td>\n",
              "      <td>OFC</td>\n",
              "      <td>https://upload.wikimedia.org/wikipedia/commons...</td>\n",
              "      <td>Não</td>\n",
              "      <td>122</td>\n",
              "      <td>1149</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0.615827</td>\n",
              "      <td>0.1284</td>\n",
              "      <td>0.1952</td>\n",
              "      <td>0.2814</td>\n",
              "      <td>0.3950</td>\n",
              "      <td>0.3236</td>\n",
              "      <td>0.1240</td>\n",
              "      <td>0.0352</td>\n",
              "      <td>0.0074</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                      Nome FIFA Grupo Confederação  ...   Semis   Final  Campeão\n",
              "Brasil                   Brazil     D     CONMEBOL  ...  0.3705  0.2044   0.1459\n",
              "Argentina             Argentina     C     CONMEBOL  ...  0.3026  0.1639   0.1112\n",
              "Espanha                   Spain     C         UEFA  ...  0.3003  0.1641   0.1088\n",
              "França                   France     A         UEFA  ...  0.4085  0.2450   0.1053\n",
              "Alemanha                Germany     D         UEFA  ...  0.2975  0.1405   0.0950\n",
              "México                   Mexico     A     CONCACAF  ...  0.3343  0.1930   0.0712\n",
              "Austrália             Australia     C          AFC  ...  0.2062  0.1098   0.0677\n",
              "Egito                     Egypt     C          CAF  ...  0.1805  0.0993   0.0585\n",
              "Japão                     Japan     A          AFC  ...  0.2617  0.1422   0.0450\n",
              "Costa do Marfim   Côte d'Ivoire     D          CAF  ...  0.1784  0.0625   0.0365\n",
              "Romênia                 Romania     B         UEFA  ...  0.2493  0.1105   0.0357\n",
              "Arábia Saudita     Saudi Arabia     D          AFC  ...  0.1640  0.0555   0.0350\n",
              "Coréia do Sul    Korea Republic     B          AFC  ...  0.2460  0.1085   0.0318\n",
              "Honduras               Honduras     B     CONCACAF  ...  0.2169  0.0831   0.0229\n",
              "África do Sul      South Africa     A          CAF  ...  0.1593  0.0825   0.0221\n",
              "Nova Zelândia       New Zealand     B          OFC  ...  0.1240  0.0352   0.0074\n",
              "\n",
              "[16 rows x 19 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 73
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CbnMJI4S9VBO",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f90dfffb-21ca-4747-ce3d-4043204fc1b3"
      },
      "source": [
        "def SimulaJogo(eq1, eq2, dados = dados, S = 1000):\n",
        "    forca1 = dados.loc[dados['País'] == eq1]['Força']\n",
        "    forca2 = dados.loc[dados['País'] == eq2]['Força']\n",
        "      \n",
        "    resultados = [] \n",
        "    placares = []\n",
        "    for i in range(S):\n",
        "        jogo = Jogo(forca1, forca2)\n",
        "        resultados.append(jogo[-2])\n",
        "        placares.append(jogo[-1])\n",
        "\n",
        "    probs = (pd.Series(Counter(resultados))/S).sort_index(ascending = False).to_frame()\n",
        "    probs.columns = ['Probabilidade']\n",
        "\n",
        "    placs = (pd.Series(Counter(placares))/S).sort_values(ascending = False).to_frame()\n",
        "    placs.columns = ['Probabilidade']\n",
        "\n",
        "    a = list(range(0,8))\n",
        "    poss_plac = ['{}x{}'.format(x,y) for x in a for y in a]\n",
        "\n",
        "    import numpy as np\n",
        "    aux1 = pd.Series(np.zeros(len(poss_plac)), index = poss_plac).to_frame()\n",
        "\n",
        "    prob_placares = pd.concat([aux1, placs], axis = 1).fillna(0).drop(0, axis = 1)\n",
        "    prob_placares\n",
        "\n",
        "    return [probs, prob_placares]\n",
        "\n",
        "jogo = SimulaJogo('Brasil', 'Alemanha')\n",
        "jogo"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[   Probabilidade\n",
              " V          0.415\n",
              " E          0.239\n",
              " D          0.346,      Probabilidade\n",
              " 0x0          0.067\n",
              " 0x1          0.111\n",
              " 0x2          0.059\n",
              " 0x3          0.027\n",
              " 0x4          0.005\n",
              " ..             ...\n",
              " 7x3          0.000\n",
              " 7x4          0.000\n",
              " 7x5          0.000\n",
              " 7x6          0.000\n",
              " 7x7          0.000\n",
              " \n",
              " [64 rows x 1 columns]]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 74
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1NWhcd9T7xxP"
      },
      "source": [
        "---"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "I77jf-ZB0y9g",
        "outputId": "cdfc9397-204a-47f7-9bf3-58fc349b7946"
      },
      "source": [
        "# Questão 1: Qual seleção é mais provável ser campeã?\n",
        "resposta = dados_sim.index[0]\n",
        "print('Resposta 1:', resposta)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Resposta 1: Brasil\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 570
        },
        "id": "tQZUHMiY1CbP",
        "outputId": "00bf52c0-d14a-4a3e-b925-b3a829b53d22"
      },
      "source": [
        "# Questão 2: Quais as probabilidades das seleções avançarem para segunda fase?\n",
        "resposta = dados_sim[['Quartas']]\n",
        "print('Resposta 2:')\n",
        "resposta"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Resposta 2:\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Quartas</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Brasil</th>\n",
              "      <td>0.6821</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Argentina</th>\n",
              "      <td>0.5821</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Espanha</th>\n",
              "      <td>0.5950</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>França</th>\n",
              "      <td>0.6686</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Alemanha</th>\n",
              "      <td>0.5762</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>México</th>\n",
              "      <td>0.5606</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Austrália</th>\n",
              "      <td>0.4337</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Egito</th>\n",
              "      <td>0.3892</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Japão</th>\n",
              "      <td>0.4601</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Costa do Marfim</th>\n",
              "      <td>0.3826</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Romênia</th>\n",
              "      <td>0.5812</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Arábia Saudita</th>\n",
              "      <td>0.3591</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Coréia do Sul</th>\n",
              "      <td>0.5785</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Honduras</th>\n",
              "      <td>0.5167</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>África do Sul</th>\n",
              "      <td>0.3107</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Nova Zelândia</th>\n",
              "      <td>0.3236</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                 Quartas\n",
              "Brasil            0.6821\n",
              "Argentina         0.5821\n",
              "Espanha           0.5950\n",
              "França            0.6686\n",
              "Alemanha          0.5762\n",
              "México            0.5606\n",
              "Austrália         0.4337\n",
              "Egito             0.3892\n",
              "Japão             0.4601\n",
              "Costa do Marfim   0.3826\n",
              "Romênia           0.5812\n",
              "Arábia Saudita    0.3591\n",
              "Coréia do Sul     0.5785\n",
              "Honduras          0.5167\n",
              "África do Sul     0.3107\n",
              "Nova Zelândia     0.3236"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 106
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 570
        },
        "id": "56kcewbO1VJr",
        "outputId": "9575d142-eb12-4cd8-8584-80f6302ae02d"
      },
      "source": [
        "# Questão 3: Quais as probabilidades das seleções ficarem em 1º, 2º, 3º e 4º em seus grupos na primeira fase?\n",
        "resposta = dados_sim[['1st', '2nd', '3th', '4th']]\n",
        "print('Resposta 3:')\n",
        "resposta"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Resposta 3:\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>1st</th>\n",
              "      <th>2nd</th>\n",
              "      <th>3th</th>\n",
              "      <th>4th</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Brasil</th>\n",
              "      <td>0.4105</td>\n",
              "      <td>0.2716</td>\n",
              "      <td>0.1908</td>\n",
              "      <td>0.1271</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Argentina</th>\n",
              "      <td>0.3135</td>\n",
              "      <td>0.2686</td>\n",
              "      <td>0.2295</td>\n",
              "      <td>0.1884</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Espanha</th>\n",
              "      <td>0.3237</td>\n",
              "      <td>0.2713</td>\n",
              "      <td>0.2183</td>\n",
              "      <td>0.1867</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>França</th>\n",
              "      <td>0.3959</td>\n",
              "      <td>0.2727</td>\n",
              "      <td>0.1965</td>\n",
              "      <td>0.1349</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Alemanha</th>\n",
              "      <td>0.2934</td>\n",
              "      <td>0.2828</td>\n",
              "      <td>0.2367</td>\n",
              "      <td>0.1871</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>México</th>\n",
              "      <td>0.2819</td>\n",
              "      <td>0.2787</td>\n",
              "      <td>0.2462</td>\n",
              "      <td>0.1932</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Austrália</th>\n",
              "      <td>0.1947</td>\n",
              "      <td>0.2390</td>\n",
              "      <td>0.2614</td>\n",
              "      <td>0.3049</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Egito</th>\n",
              "      <td>0.1681</td>\n",
              "      <td>0.2211</td>\n",
              "      <td>0.2908</td>\n",
              "      <td>0.3200</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Japão</th>\n",
              "      <td>0.2079</td>\n",
              "      <td>0.2522</td>\n",
              "      <td>0.2773</td>\n",
              "      <td>0.2626</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Costa do Marfim</th>\n",
              "      <td>0.1538</td>\n",
              "      <td>0.2288</td>\n",
              "      <td>0.2832</td>\n",
              "      <td>0.3342</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Romênia</th>\n",
              "      <td>0.3081</td>\n",
              "      <td>0.2731</td>\n",
              "      <td>0.2373</td>\n",
              "      <td>0.1815</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Arábia Saudita</th>\n",
              "      <td>0.1423</td>\n",
              "      <td>0.2168</td>\n",
              "      <td>0.2893</td>\n",
              "      <td>0.3516</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Coréia do Sul</th>\n",
              "      <td>0.3077</td>\n",
              "      <td>0.2708</td>\n",
              "      <td>0.2263</td>\n",
              "      <td>0.1952</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Honduras</th>\n",
              "      <td>0.2558</td>\n",
              "      <td>0.2609</td>\n",
              "      <td>0.2550</td>\n",
              "      <td>0.2283</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>África do Sul</th>\n",
              "      <td>0.1143</td>\n",
              "      <td>0.1964</td>\n",
              "      <td>0.2800</td>\n",
              "      <td>0.4093</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Nova Zelândia</th>\n",
              "      <td>0.1284</td>\n",
              "      <td>0.1952</td>\n",
              "      <td>0.2814</td>\n",
              "      <td>0.3950</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                    1st     2nd     3th     4th\n",
              "Brasil           0.4105  0.2716  0.1908  0.1271\n",
              "Argentina        0.3135  0.2686  0.2295  0.1884\n",
              "Espanha          0.3237  0.2713  0.2183  0.1867\n",
              "França           0.3959  0.2727  0.1965  0.1349\n",
              "Alemanha         0.2934  0.2828  0.2367  0.1871\n",
              "México           0.2819  0.2787  0.2462  0.1932\n",
              "Austrália        0.1947  0.2390  0.2614  0.3049\n",
              "Egito            0.1681  0.2211  0.2908  0.3200\n",
              "Japão            0.2079  0.2522  0.2773  0.2626\n",
              "Costa do Marfim  0.1538  0.2288  0.2832  0.3342\n",
              "Romênia          0.3081  0.2731  0.2373  0.1815\n",
              "Arábia Saudita   0.1423  0.2168  0.2893  0.3516\n",
              "Coréia do Sul    0.3077  0.2708  0.2263  0.1952\n",
              "Honduras         0.2558  0.2609  0.2550  0.2283\n",
              "África do Sul    0.1143  0.1964  0.2800  0.4093\n",
              "Nova Zelândia    0.1284  0.1952  0.2814  0.3950"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 107
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "tCpVVGSp1u8v",
        "outputId": "9cf403e2-7797-4cca-ee77-53532418cbe5"
      },
      "source": [
        "# Questão 4: A força de uma equipe é proporcional a sua probabilidade de vencer a competição? Se não, porquê?\n",
        "print('Resposta 4:') \n",
        "plt.scatter(dados_sim['Força'], dados_sim['Campeão']);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Resposta 4:\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Id0P0s4L2Pfq",
        "outputId": "1076ff8c-2450-445f-89b1-ce6d4124c91b"
      },
      "source": [
        "# Questão 5: Qual a probabilidade de todos cabeça de chave passarem simultâneamente para a segunda fase? (Probabilidade da 'zebra')\n",
        "print('Resposta 5:')  \n",
        "dados_sim[dados_sim['Cabeça-de-chave'] == 'Sim']['Quartas'].prod()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Resposta 5:\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.15697653944245"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 111
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "f-EGUa-q38pA",
        "outputId": "3741de37-af97-4e04-e955-a11f0f2639e7"
      },
      "source": [
        "# Questão 6: Qual a probabilidade de pelo menos uma das quatro seleções mais fracas ganhar a competição?\n",
        "print('Resposta 6:')  \n",
        "dados_sim.sort_values(by = 'Ranking FIFA (07/04)', ascending = False).iloc[:4, :]['Campeão'].sum()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Resposta 6:\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.0874"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 114
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "Bo68CDis4Jd9",
        "outputId": "ab5b9086-a653-498a-9600-acf1f9d6f3cf"
      },
      "source": [
        "# Questão 7: Qual a probabilidade de vencer a competição por confederação?\n",
        "print('Resposta 7:')  \n",
        "dados_sim['Campeão'].groupby(dados_sim['Confederação']).sum().plot(kind = 'barh');"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Resposta 7:\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "oDxgbNDg4LcK",
        "outputId": "139782dd-afb5-43b5-e997-636804b8b012"
      },
      "source": [
        "# Questão 8: Qual a probabilidade de uma seleção sem medalhas em sua história vencer a competição?\n",
        "print('Resposta 8:')  \n",
        "dados_sim[dados_sim['Ouros'] + dados_sim['Pratas'] + dados_sim['Bronzes'] == 0]['Campeão'].sum()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Resposta 8:\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.36260000000000003"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 118
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mX3OwqhU4Vxb"
      },
      "source": [
        "# Questão 9: Se o Brasil jogar com a Alemanha, qual a probabilidade de acontecer um 7x1 para a Alemanha? E um 7x1 para o Brasil? Quais os placares mais prováveis?\n",
        " \n",
        "jogo = SimulaJogo('Brasil', 'Alemanha', S = 100000)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Aozk9d-9OWcH",
        "outputId": "1e01d9a1-987b-4cdb-b78a-3562586b8a69"
      },
      "source": [
        "print('Resposta 9:') \n",
        "print(jogo[1].loc['7x1',:])\n",
        "print(jogo[1].loc['1x7',:])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Resposta 9:\n",
            "Probabilidade    0.00019\n",
            "Name: 7x1, dtype: float64\n",
            "Probabilidade    0.00012\n",
            "Name: 1x7, dtype: float64\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 363
        },
        "id": "PawCQWHV6SYM",
        "outputId": "07a9166b-c9f7-49af-9ce8-0f525752dd00"
      },
      "source": [
        "#Os 10 placares mais prováveis\n",
        "jogo[1].sort_values(by = 'Probabilidade', ascending = False).head(10)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Probabilidade</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1x1</th>\n",
              "      <td>0.12454</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1x0</th>\n",
              "      <td>0.10312</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2x1</th>\n",
              "      <td>0.08913</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>0x1</th>\n",
              "      <td>0.08758</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1x2</th>\n",
              "      <td>0.07333</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2x0</th>\n",
              "      <td>0.07317</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>0x0</th>\n",
              "      <td>0.07293</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2x2</th>\n",
              "      <td>0.05343</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>0x2</th>\n",
              "      <td>0.05266</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3x1</th>\n",
              "      <td>0.04170</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "     Probabilidade\n",
              "1x1        0.12454\n",
              "1x0        0.10312\n",
              "2x1        0.08913\n",
              "0x1        0.08758\n",
              "1x2        0.07333\n",
              "2x0        0.07317\n",
              "0x0        0.07293\n",
              "2x2        0.05343\n",
              "0x2        0.05266\n",
              "3x1        0.04170"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 120
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 143
        },
        "id": "RMYE0x_8S9bx",
        "outputId": "fb0a9216-64e7-47b7-e28a-4dc279521e6e"
      },
      "source": [
        "#As probabilidades da partida\n",
        "jogo[0]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Probabilidade</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>V</th>\n",
              "      <td>0.42095</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>E</th>\n",
              "      <td>0.26175</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>D</th>\n",
              "      <td>0.31730</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   Probabilidade\n",
              "V        0.42095\n",
              "E        0.26175\n",
              "D        0.31730"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 121
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "QJJs8FUKTA7-",
        "outputId": "57ff6adc-23de-4244-ce6a-b5e2181a72a5"
      },
      "source": [
        "# Questão 10: Qual a probabilidade de cada grupo apresentar um campeão?\n",
        "print('Resposta 10:')  \n",
        "dados_sim['Campeão'].groupby(dados_sim['Grupo']).sum().plot(kind = 'barh');"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Resposta 10:\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NKcdP2JS7vrW"
      },
      "source": [
        "---"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nFa6dWlW5Njb"
      },
      "source": [
        "## **Planos de continuação!**\n",
        "2. Propor um modelo para a força dos times (regressão Poisson, por exemplo).\n",
        "3. Fazer webscrapping de fontes de dados para utilizar na modelagem da força do time.\n",
        "4. Montar um Dashboard dos resultados da simulação.\n",
        "5. Fazer gráficos automaticos com formato para redes sociais.\n"
      ]
    }
  ]
}