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Two events A and B are such that `P(A) = (1)/(2), P(A|B) = (1)/(4)` and `P(B|A) = (1)/(2)` Consider the following statements :
(I) `P(bar(A) | bar(B)) = (3)/(4)`
(II) A and B are mutually exclusive
(III) `P(A|B) + P(A|B) = 1`. Then

A

Only (I) is correct

B

Only (I) and (II) are correct

C

only (I) and (III) are correct

D

Only (II) and (III) are correct

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The correct Answer is:
a
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