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Question

If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and P(BA) = 0.6, find P(A B)


A

0.24

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B

0.96

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C

0.04

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D

none of these

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Solution

The correct option is B

0.96


P(BA)=0.6=P(AB)P(A)
0.6=P(AB)0.4
P(AB)=0.6×0.4
=0.24
P(AB)=P(A)+P(B)P(AB)
=0.4+0.80.24
=0.96


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