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If A, B, C are any three events such tha...

If A, B, C are any three events such that probability of B is twice as that of probability of A and probability of C is thrice as that of probability of A and if `P(A cap B)=(1)/(6), P(B cap C)=(1)/(4), P(A cap C)=(1)/(8), P(A cup B cup C)=(9)/(10),P(A cap B cap C)=(1)/(15)`, then find P(A), P(B) and P(C ) ?

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