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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)=3/2P(A)a n dP(C)=1/2P(B)dot`
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Correct Answer - `4/13`
A, B, C being mutually exclusive exhaustive events, we have
`P(A) + P(B) + P(C) = 1 rArr P(A) + 3/2 +P(A) + 1/2 * {3/2 P(A)} = 1`
`rArr 13/4 * P(A) = 1 rArr P(A) = 4/13.`
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