Home
Class 12
MATHS
Out of 20 games of chess played between ...

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.

Text Solution

Verified by Experts

The correct Answer is:
`(i) (1)/(125) (ii) (61)/(125) (iii) (12)/(125)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two players A and B toss a die alternately he who first throws a six wins the game if A begins what is the probability that he wins? What is the probability of B winning the game?

A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he losed the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.

Four persons A, B, C and D throw an unbiased die, turn by turn, in succession till one gets an even number and win the game. What is the probability that A wins the game if A begins ?

An urn contains 4 red and 7 black balls. Two balls are drawn at random with replacement. Find the probability of getting (a) 2 red balls (b) 2 black balls (c ) one red ball and one black ball.

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).

Consider a game played by 10 people in which each flips a fair up coin at the same time. If all but one of the coins comes up the same, then the odd persons wins (e.g., if there are nine tails and one head then head wins). If such a situation does not occur, the players flips again. Find the probability that game is settled on or after nth toss.

A fair die is tossed repeatedly. A wins if it is 1 ir 2 on two consecutive tosses and B wins if it is 3,4,5 or 6 on two consective tosses. The probability that A wins if the die is tossed indefinitely is

Three faces of a fair dice are yellow, two are red and one is blue. Find the probability that the dice shows (a) yellow, (b) red and (c ) blue face.

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

5 players of equal strength play one each with each other. P(A)= probability that at least one player wins all matches he (they) play. P(B)= probability that at least one player losses all his (their) matches.