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Three players A,B and C toss a coin cycl...

Three players A,B and C toss a coin cyclically in that order (i.e. A,B,C,A,B,C,A,B,……) till a head shows. Let p be the probability that the coin shows a head. Let `alpha,beta` and `gamma` be, respectively, the probabilities that A,E and C gets the first head. Prove that `beta=(1-p)alpha` Determine `alpha,beta` and `gamma` (in terms of p).

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The correct Answer is:
`(99)/(1900)`
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