PrAB14 PrA15 and PrB35 1 PrBA 2 PrBA SolutionPA015 THEREF

Pr[A|B]=14, Pr[A]=15, and Pr[B]=35.

1. Pr[B|A] = ?

2. Pr[B|A] = ?

Solution

P(A)=0.15 THEREFORE P(A\') = 1-0.15 = 0.85

P(B\') = 0.35 THEREFORE P(B) = 1-0.35 = 0.65

P(A /B) = P(A B)/ P(B)

FROM THE QUESTION

0.14= P(A B)/0.65 THEREFORE P(A B) = 0.65*0.14 = 0.091

NOW P(B/A) = P(A B) / P(A) = 0.091/0.15 = 0.60

2) WE CAND FIND P(B/A\') UNLESS WE HAVE P(B U A\')