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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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