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If A and B are two events such that P(A) = 1/2, P(B) = 1/3 , P(A/B) = 1/4 , then P(A' ∩ B' ) equals A. 1/12 B. 3/4 C. 1/4 D. 3/16 Select the correct answer from above options

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We have, Now, P(A’ ∩ B’) = 1 – P(A ∪ B) = 1 – [P(A) + P(B) – P(A ∩ B)] [∵P(A ∪ B) = P(A) + P(B) – P(A ∩ B)] Hence, the correct option is C.

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