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Question

IF A and B are any two events such that P(A) + P(B) - P (A and B ) = P(A), then
(a) P(BA)=1
(b) P(AB)=1
(c) P(BA)=0
(d) P(AB)=0

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Solution

Given, P(A)+ p(B) - P(A and B) = P(A)
P(A)+P(B)P(AB)=P(A)P(B)P(AB)=0P(B)=P(AB)1=P(AB)P(B)1=P(AB)[P(AB=P(AB)P(B))]


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