If A and B are any two events with P(A)= .8 and P(B|A)= .4,then P(A and B)is:
A).40
B).32
C)1.20
D)None of these choices.

Name: If A and B are any two events with P(A)= .8 and P(B|A)= .4,then P(A and B)is: A).40 B).32 C)1.20 D)None of these choices.
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Question

Quizplus · Accepted Answer

We know, 
P(A) = .8
P(B|A) = .4

We need to find P(A and B)

P(B|A) = P(A and B)/P(A)

Therefore, 
P(A and B) = P(B|A) * P(A) = .4 * .8 = .32

Hence, the correct answer is B) .32.

If a and B Are Any Two Events with P(A)=