Given Pr[A]=0.41

Question

Given Pr[A]=0.41, Pr[B]=0.37, and Pr[A U B]=0.5, Find Pr[A l B]

Answer 1

P(AUB) = P(A) + P(B) - P(A∩B)

 

Hence:

 

P(A∩B) = P(A) + P(B) - P(AUB) = 0.41 + 0.37 - 0.5 = 0.28

 

p(A|B) = P(A∩B)/P(A) = 0.28/0.41 = 0.683