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Update Probability.md
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nicksmd authored Aug 7, 2017
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* **Proposition 4.4**

![](https://latex.codecogs.com/gif.latex?P(\bigcup_{1}^{n}E_{i})&space;=&space;\sum_{1}^{n}P(E_{i})-\sum_{i_{1}%3Ci_{2}}P(E_{i_{1}}E_{i_{2}})+...&space;+(-1)^{r+1}\sum_{i_{1}%3Ci_{2}%3C...%3Ci_{r}}P(E_{i_{1}}E_{i_2}...E_{i_{r}})+...+(-1)^{n+1}P(E_{i_{1}}E_{i_{2}}...E_{i_{n}}))))

In words, Proposition 4.4 states that the probability of the union of n events equals
the sum of the probabilities of these events taken one at a time, minus the sum of the
probabilities of these events taken two at a time, plus the sum of the probabilities of
these events taken three at a time, and so on.

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