A and B toss a coin alternately till one of them gets a head and wins the game. If A starts the game, find the probability that B will win the game.

A and B toss coin alternately till one of them gets a head and wins the game. If A starts first, find the probability the B will win the game.

A and B throw a dice alternately til any one gets a 6 on the and win the game. If A begins the game find the probabilities of winning the game.

Two persons A and B throw a die alternately till one of them gets a 'three' and wins the game. Find their respectively probabilities of winning, if a begins.

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 throw a pair of dice alternately. A wins the game if he gets a total of 6 and B wins if she gets a total of 7. If A starts the game, find the probability of winning the game by A in third throw of the pair of dice.

A bag contains a white and b black balls. Two players, Aa n dB alternately draw a ball from the bag, replacing the ball each time after the draw till one of them draws a white ball and wins the game. A begins the game. If the probability of A winning the game is three times that of B , then find the ratio a : b

A bag contains a white and b black balls. Two players, Aa n dB alternately draw a ball from the bag, replacing the ball each time after the draw till one of them draws a white ball and wins the game. A begins the game. If the probability of A winning the game is three times that of B , then find the ratio a : b

A and B throw a pair of dice alternately. A wins the game if he gets a total of 7 and B wins the game if he gets a total of 10. If A starts the game, then find the probability that B wins.

A player X has a biased coin whose probability of showing heads is p and a player Y has a fair coin. They start playing a game with their own coins and play alternately. The player who throws a head first is a winner. If X starts the game, and the probability of winning the game by both the players is equal, then the value of 'p is : (a) (1)/(3) (b) (2)/(5) (c) (1)/(4) (d) (1)/(5)

In a set of five games in between two players A and B, the probability of a player winning a game is 2/3 who has won the earlier game. A wins the first game, then the probability that A will win at least three of the next four games is (A) 4/9 (B) (64)/(81) (C) (32)/(81) (D) none of these