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 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 match between two players A and B is won by whoever first wins a total of two games. Probability of A's winning, drawng and losing any particular game are 1/6, 1/3 and 1/2 respectively. (The game are independent). If the probability that B wins the match in the 4^(th) gams is p , then 6p is equal to

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.

Suppose A and B are two equally strong table tennis players . The probability that A beats B in exactly 3 games out of 4 is

A and B 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.

In a given race , the odds in favour of horses A,B,C and D are 1 : 3 , ,1 : 4, 1 : 5 and 1 : 6 respectively. Find the probability that one of them wins the race .

Five different games are to be distributed among 4 children randomly. The probability that each child get at least one game is 1//4 b. 15//64 c. 5//9 d. 7//12

In a horse -race, the probabilities to win the race for three horses A,B and C are 1/4,1/5 and 1/6 respectively. Find the probability to win the race of any one horse.