1.

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

Answer»

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ANSWER :`alpha = (p)/(1-(1-p)^(3)),BETA = (p(p-1))/(1-(1-p)^(3)),GAMMA = (p(p-1)(p-3))/(1-(1-p)^(3))`


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