# 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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