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Complement of an Event

28. A and B a...

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28. A and B are equally good tennis players. Which of the following two events is more probable? (i) A beats B exactly in 3 games out of 4.(ii) A beats B exactly in 5 games out of 8.

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A

B

are two equally strong table tennis players. Which of the following two events is more probable

a)

A

B

3

4

b)

A

B

5

8

A

B

are two equally strong table tennis players, the probability that

A

B

in exactly three games out of

4

Q. In a school that has a 1000 students , 99% of them play at least one game, 49% play at least 2 games, 24% play at least 3 games, 14% play at least 4 games and 4% play all the games. There are 5 games played at the school. What is the sum of number of students who play exactly three games and who play exactly 4 games?

Q. Ten persons numbered

1, 2, \dots, 10

play a chess tournament, each player playing against every other exactly one game. It is known that no game ends in a draw. Let

w_{1}, w_{2}, . . . ., w_{10}

are the number of games won by players

1, 2, 3, \dots, 10

, respectively, and

l_{1}, l_{2}, \dots, l_{10}

are the number of games lost by the players

1, 2, \dots, 10

, respectively, then,

Q. Ten persons numbered

1, 2, . . ., 10

play a chess tournament, each player playing against every other player exactly one game. It is known that no game ends in a draw. If

w_{1}, w_{2}, . . ., w_{10}

are the number of games won by players

1, 2, 3, . . ., 10

, respectively, and

l_{1}, l_{2}, . . ., l_{10}

are the number of games lost by the players

1, 2, . . ., 10

respectively, then

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