A and B HAVING EQUAL SKILLS ARE PLAYING A GAME OF BEST OF 5 POINTS .AFTER A HAS WON TWO POINTS AND B HAS WON ONE POINT THE PROBABILITY THAT A WILL WIN THE GAME IS

Open in App

Solution

As A and B are playing game of 5 points,
As A got 2 points already and B has one one point.
And A and B have equal skills of winning, And A require only 1 point and B require 2 points to win the game.
So the probability of winning next point is equal.
Hence the winning probabilty will depend on previous point gained.
So A has the winning probability of 2/5 = 40%

Suggest Corrections

Similar questions

Q. A football team has won

10

games and lost

5

games. If the team wins the remaining games of the season, it will have won

80

percent of its games. How many games in total will have been played?

Q. Suppose the probability for A to win a game against B is 0.4. If A has an option of playing either "best of 3 games" or a "best of 5 games" match against B, which option should A choose so that the probability of his winning the match is higher ? (No game ends in draw)

Q. One team won 19 out of every 20 games played, and a second team won 7 out every 8 games played which team has higher percentage of wins?

In a chess tournament, a player gets one point for every game won, $\frac{1}{2}$ point for a draw and 0 point for a loss. A grandmaster played 11 games without losing and scored 9 points. How many games did he win?

Q. Suppose the probability for

A

to win a game against

B

0.4, A

has two options of playing matches against

B

, One 'the best of

3

games' and the other 'the best of

5

games'. Which of the options,

A

should choose?(No game ends in a draw).

Join BYJU'S Learning Program