Two players `A and B` toss a fair coin cyclically in the following order `A, A, B, A, A, B....` till a head shows(that is, A will be allowed first two tosses, followed by a single toss of B). Let `alpha(beta)` denote the probabilitythat `A(B)` gets the head first. Then

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).

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).

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, theprobabilities that A, B and C gets the first head. Then

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).

2 Players A, B tosses a fair coin in cyclic order A, A, B, A, A, B…. Till a head appears. If the probability that A gets head first is p, then (24)/(p) is equal to

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, theprobabilities that A,B and C gets the first head.Then

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).

Two players A and B each toss 5 coins. Find the probability that A gets more heads than B.

Three players A, B, C toss a coin in turn till head shows. Let p be the probability that the coin shows a head. Let alpha,beta,gamma be respectively the probabilities that A, B and C get first head then

Two players A and B each toss 5 coins. Find the probability that A and B get the same number of heads.