Q.

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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a

1523

b

323

c

523

d

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