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If `P(A)=1//4, P(B)=1//2, P(A cup B)=5//8, " then " P(A cap B)` is

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If P(A)=1/4,P(B)=1/2,P(A∪B)=5/8, then P(A∩B) is A. 3/8 B. 1/8 C. 2/8 D. 5/8 Select the correct answer from above options

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Correct Answer - B We have, P(A)= 1 4 ,P(B)= 1 2 and P(A∪B)= 5 8 . ∴P(A∩B)=P(A)+P(B)-P(A∩B) ⇒P(A∩B)= 1 4 + 1 2 - 5 8 = 1 8

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