Question

Suppose that you have applied to two graduate schools and believe that you have a 0.6 probability of being accepted by school C, a 0.7 probability of being accepted by school D, and a 0.5 probability of being accepted by both.

1. Determine the conditional probability of acceptance by D given acceptance by C.

Answer 1

Given : P(C)=0.6 , P(D)=0.7 ,

1. By using the definition of conditional probability ,