Suppose that A and B are two events for which PA026 PB062 an

Suppose that A and B are two events for which P(A)=0.26, P(B)=0.62, and P(B|A)=0.44 Find each of the following:

A. P(AandB)=

B. P(AorB)=

C. P(A|B)=

P(A)=0.26, P(B)=0.62, and P(B|A)=0.44

A.
P(B|A) = P( A n B) / P(A)
=> 0.44 = P( A n B) / 0.26
=> P(A n B) = 0.44*0.26 =0.1144

B. P(AorB) = P(A) + P(B) - P(A n B) = 0.26+0.62-0.1144 = 0.7656

C.
P(A|B) = P(A n B) / P(B) = 0.1144/0.62 = 0.18451