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Question

If A and B are two events such that P(A)=34 and P(B)=58, then

A
P(AB)34
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B
P(AB)14
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C
38P(AB)58
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D
38P(AB)58
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Solution

The correct option is D 38P(AB)58
AABP(A)P(AB)P(AB)34
Also,
P(AB)=P(A)+P(B)P(AB)
P(A)+P(B)1
=34+581=38
Now, ABBP(AB)P(B)=5838P(AB)58(1)
and
P(AB)=P(A)P(AB)3458P(AB) 3438P(AB)=P(B)P(AB) [Using(1)]0P(AB)14


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