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A, B, C are three mutually exclusive and exhaustive events associated with a random experiment. Find `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. Find 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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P ( A ∩ B ) = 0 P P ( A ∩ C ) = 0 P P ( B ∩ C ) = 0 P P ( A ∪ B ∪ C ) = 1 P P ( A ∩ B ∩ C ) = 0 P P ( A ∪ B ∪ C ) = P ( A ) + P ( B ) + P ( C ) + P ( A ∩ B ) + P ( A ∩ C ) + P ( B ∩ C ) + P ( A ∩ B ∩ C ) P P ( A ∪ B ∪ C ) = 1 = P ( A ) + P ( B ) + P ( C ) P 1 = P ( A ) + 3 2 P ( A ) + 1 2 P ( A ) 1 1 = P ( A ) { 1 + 3 2 + 3 4 } 1 1 = 13 4 P ( A ) 1 P ( A ) = 4 13 P .

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