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).

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).

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

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

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

A Fair coin is tossed 5 times , find the probability that a) coin shows exactly three times head b) no head.

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

A,B,C are tossing a coin on the condition that , the person who gets a Head first, wins the game. If A starts the game, then the probabilities of A, B and C to win the game are

Two players A and B each toss 10 coins. The probability that they show equal number is heads is