Home
Class 13
MATHS
Two players A and B play a match. Which ...

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)`

Promotional Banner

Similar Questions

Explore conceptually related problems

A,B and C toss a coin one after another. Who ever gets head list will win the game.If A starts the game the probability of Al's winning is

Football teams T_(1) and T_(2) have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T_(1) winning,drawing and losing a game against T_(2) are (1)/(2),(1)/(6) and (1)/(3) , respectively. Each teams gets 3 points for a win, 1 point of a drawn and 0 point for a loss in a games. P(X gtT) is

Football teams T_(1) and T_(2) have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T_(1) winning,drawing and losing a game against T_(2) are (1)/(2),(1)/(6) and (1)/(3) , respectively. Each teams gets 3 points for a win, 1 point of a drawn and 0 point for a loss in a games. P(X=Y) 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.

It is given that the probability of winning a game is 0.7 . What is the probability of losing the game ?