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(C)=1/2P(B)dot`

Explanation

`P(AnnB)=0`

`P(AnnC)=0`

`P(BnnC)=0`

`P(AuuBuuC)=1`

`P(AnnBnnC)=0`

`P(AuuBuuC)=P(A)+P(B)+P(C)+P(AnnB)+P(AnnC)+P(BnnC)+P(AnnBnnC)`

`P(AuuBuuC)=1=P(A)+P(B)+P(C)`

`1=P(A)+3/2P(A)+1/2P(A)`

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