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Given the full joint distribution shown in Figure dentist-joint-table, calculate the following:

  1. P ( t o o t h a c h e ) .

  2. P ( C a v i t y ) .

  3. P ( T o o t h a c h e , | , c a v i t y ) .

  4. P ( C a v i t y , | , t o o t h a c h e c a t c h ) .