If A, B, C are mutually exclusive and exhaus-tive events such that P(A) = 3P(B) = 5P(C) then P(B ∪ C) =

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1523

323

523

823

answer is D.

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Detailed Solution

p(A∪B∪C)=p(S)⇒p(A)+p(B)+p(C)=1⇒(1+13+15)p(A)=1⇒p(A)=1523p(B∪C)=p(B)+p(C)=523+323=823

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