Suppose that A and B are two events for which PA021 PB08 and

Suppose that A and B are two events for which P(A)=0.21, P(B)=0.8, and P(B|A)=0.42 Find each of the following:

A. P(AandB)=

B. P(AorB)=

C. P(A|B)=

Solution

A) P(A AND B) = P(A)*P(B) = 0.21*0.8 = 0.168

B) P( A OR B) = P(A)+P(B) = 0.21+0.8 = 0.29

C) P(A/B) = P( A AND B)/ P(B) = 0.168/0.8 = 0.21