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Three player A, B and C, toss a coin cy...

Three player `A, B and C`, toss a coin cyclically in that order (that is `A, B, C, A, B, C, A, B,...`) till a headshows. Let p be the probability that the coin shows a head. Let `alpha, beta and gamma` be, respectively, the probabilities that `A, B and C` gets the first head. Then determine `alpha, beta and gamma` (in terms of p).

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