Suppose that A and B are two events for which PA02 PB081 and

Suppose that A and B are two events for which P(A)=0.2, P(B)=0.81, and P(B|A)=0.41 Find each of the following:

A. P(AandB)=

B. P(AorB)=

C. P(A|B)=

P(A)=0.2, P(B)=0.81, and P(B|A)=0.41

Now, P(B/A) = P(AandB)/P(A)

Thus,

A. P(AandB) = 0.41*0.2 = 0.082

B. P(AorB) = P(A) + P(B) - P(A and B) = 0.2 + 0.81 - 0.082 = 0.928

C. P(A|B)= = P(A and B)/P(B) = 0.082/0.81 = 0.101