Two players `A and B` want respectively m and n points ofwinning a set of games; their chances of winning a single game are p and qrespectively, where the sum of p and q is unity; the stake is to belong tothe player who first makes up his set: determine the probabilities in favour of each player.

A and B play a series of games which cannot be drawn and p,q are their respective chance of winning a single game.What is the chance that A wins m games before B wins n games?

Aa n dB play a series of games which cannot be drawn and p , q are their respective chance of winning a single game. What is the chance that A wins m games before B wins n games?

Aa n dB play a series of games which cannot be drawn and p , q are their respective chance of winning a single game. What is the chance that A wins m games before B wins n games?

Aa n dB play a series of games which cannot be drawn and p , q are their respective chance of winning a single game. What is the chance that A wins m games before B wins n games?

Q.A and B are playing a game by alternately rolling,with A starning first.Each player's score is the number obtained on his last roll the games ends when the sum of two players is 7, and the last on his last roll the die wins. what is the probability that A wins the games?

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 :

In each of a set of games it is 2 to 1 in favor of the winner of the previous game: what is the chance that the player who wins the first game shall win three at least of the next four.

Two players of equal skill,A and B,are playing a set of games; theyleave of playing when A wins 3 points and B wins 2. If the stake is 16 Rs,what share ought each to take?

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)