A chess game between two grandmasters X and Y is won by whoever first wins a total of two games. X's chances of winning or loosing any perticular game are a, b and c, respectively. The games are independent and a+b+c=1.
The probability that X wins the match, is

A chess game between two grandmasters X and Y is won by whoever first wins a total of two games. X's chances of winning or loosing any perticular game are a, b and c, respectively. The games are independent and a+b+c=1. The probability that Y wins the match after the 4th 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 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 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.

Aa n dB play a game of tennis. The situation of the game is as follows: if one scores two consecutive points after a deuce, he wins; if loss of a point is followed by win of a point, it is deuce. The chance of a server to win a point is 2/3. The game is a deuce and A is serving. Probability that A will win the match is (serves are change after each game) 3//5 b. 2//5 c. 1//2 d. 4//5

Aa n dB participate in a tournament of best of 7 games. It is equally likely that either A wins or B wins or the game ends in a draw. What is the probability that A wins the tournament.

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?

Two players A and B play a match. Which consists of a series of games (independent). Whoever first wins two games not necessarily consecutive, wins the match. The probability of A's winning, drawing, losing a game against B are (1)/(2), (1)/(3), (1)/(6) respectively. It is known that A won the match at the end of 11^(th) game, the probability that B wins only one game is (A) (3)/(11) (B) (8)/(11) (C) (9)/(11) (D) (10)/(11)