It is given that the events A and B are such that P(A) = 1/4, P(A/B) = 1/2 and P(B/A) = 2/3. Then, P(B) is equal to

Solution :

We know that,

P(A/B) = \(P(A \cap B)\over P(B)\)    …….(i)

and P(B/A) = \(P(B \cap A)\over P(A)\)    ……….(ii)

\(\therefore\)  P(B) = \(P(B/A).P(A)\over P(A/B)\) = \(1\over 3\)

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