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Question

If P(A) =34, P(B')=13 and P(AB)=12 then find P(A B).

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Solution

Given:
P(A) =34, P(B')=13 and P(AB)=12
We know:
P(B) = 1 - P(B')
= 1-13
= 23
On applying the addition theorem of probability, we get:
P(A B) = P(A) + P(B) - P(A B)
=34+23-12=9+8-612 =1112

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