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A, B, C are three mutually exclusive and exhaustive events associated with a random experiment. Fine `P(A)` , it being given that `P(B)=3/2P(A)a n dP(

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A, B, C are three mutually exclusive and exhaustive events associated with a random experiment. Fine P(A) , it being given that P(B)= 3 2 P(A)andP(C)= 1 2 P(B) . Select the correct answer from above options

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Correct Answer - 4 13 4 A, B, C being mutually exclusive exhaustive events, we have P ( A ) + P ( B ) + P ( C ) = 1 ⇒ P ( A ) + 3 2 + P ( A ) + 1 2 ⋅ { 3 2 P ( A ) } = 1 P ⇒ 13 4 ⋅ P ( A ) = 1 ⇒ P ( A ) = 4 13 . ⇒

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