A and B play a game. A throws a fair coin where as B tosses a fair dice alternatively. A begins the game and he wins if gets heads before "B" gets a number which isn't prime. The probability that A wins the game is?

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 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 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.

Two persons A and B play a game of throwing a pair of dice until one of them wins. A will win if sum of numbers on dice appear to be 6 and B will win. If sum is 7. What is the probability that A wins the game if A starts the game.

A and B toss a coin alternately on the understanding that the first to obtain heads wins the toss.The probability that A wins the toss.

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

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 :