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Let A and B be two events such that P(A) = 3/8, P(B) = 5/8 and P(A ∪ B) = 3/4. Then P(A | B).P(A′ | B) is equal to

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Let A and B be two events such that P(A) = 3/8, P(B) = 5/8 and P(A ∪ B) = 3/4. Then P(A | B).P(A′ | B) is equal to A.2/5 B. 3/8 C. 3/20 D. 6/25 Select the correct answer from above options

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Given, P(A) = 3/8, P(B) = 5/8 and P(A ∪ B) = 3/4 Now, We know that, P(A ∪ B)=P(A)+P(B)- P(A ∩ B) Hence, P(A | B).P(A′|B) = 6/25

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