Suppose that A and B are two events for which PA028 PB074 an

Suppose that A and B are two events for which P(A)=0.28, P(B)=0.74, and P(B|A)=0.39 Find each of the following:

A. P(A and B)= ?

B. P(A or B)= ?

C. P(A|B)= ?

P(A)=0.28

P(B)=0.74

P(B|A)=0.39

=>P(AB)/P(A)=0.39

=>P(AB)=0.39*P(A)=0.39*0.28=0.1092

A.P(A and B)=P(AUB)=P(A)+P(B)-P(AB)=0.28+0.74-0.1092=0.9108

B.P(A or B)=P(AB)=0.1092

C.P(A|B)=P(AB)/P(B)=0.1092/0.74=0.14756