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?

Two players of equal skill,A and B are playing a set of games,they leave off playing when A wants 3 points and B wants 2. If the stake is 16 euros,what share ought each take.

If A and B play a series of games in each of which probability that A wins is p and that B wins is q=1-p. Therefore the chance that A wins two games before B wins three is

A & B have equal skill, are playing a game of best of 5 points. After A has won two points & B has one point, the probability that A will win the game Is :

Two persons A and B are playing a game. A is tossing two coins simultaneously and B is rolling a die. A will win if he gets tail on both the coins, B will win if he gets a prime number on the die. If they take their turns alternately and A starts the game find their respective probabilities of wining.

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.

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.

Out of 20 games of chess played between two players A and B. A won 12, B won 4 and 4 ended in a tie. In a tournament of three games find the probability that B wins all three (1a) B wins at least one (ii) two games end in a tie

Out of 20 games of chess played between two players A and B, A won 12, B won 4 and 4 ended in a tie. In a tournament of three games find the probability that (i) B wins all three (ii) B wins at least one (iii) two games end in a tie.

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 :

Two persons A and B get together once a weak to play a game. They always play 4 games . From past experience Mr. A wins 2 of the 4 games just as often as he wins 3 of the 4 games. If Mr. A does not always wins or always loose, then the probability that Mr. A wins any one game is (Given the probability of A's wining a game is a non-zero constant less than one).