A and B alternatively toss a fair coin. The first once to throw a head wins. If A starts find their respective probabilities of winning.

A and B alternatively toss a fair coin. The first one to throw a head wins. If A starts, find their respective probabilities of winning.

A, B and C in order toss an unbiased coin. The first who throws 'head' wins. Find the respective probabilities of winning.

A and B throw a die alternatively till one of them gets a '6' and wins the game. Find their respective probabilities of winning, if A starts first.

A and B toss a coin alternately untill one of them gets a head for the first time and wins the toss. If A begin, find the respective probability ties for A and B to win the toss.

Two persons A and B take turns in throwing a pair of dice. The first person to throw 9 from both will get the prize. If A throws first then the probability of B winning the prize is -

A and B play alternately with an unbiased die. He who first throws a 'six' wins. If A begins, show that his chance of winning is (6)/(11) .

Two players A and B toss a die alternately he who first throws a six wins the game if A begins what is the probability that he wins? What is the probability of B winning the game?

A and B play alternately with a pair of unbiased dice. A wins if he throws 6 before B throws 7 and B wins if he throws 7 before A throws 6. If A begins, show that his chance of winning is (30)/(61) .

A box contains N coins, m of wiich are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2, while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair ?

A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he losed the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.