Question

In a group of 48 pupils, 9 play the flute only. 12 play the piano only. 14 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?

Answer 1

To calculate the probability that eight players on the intramural basketball team will be boys, you need to determine the group of interest and the sample size. By using combinations, you can find that the probability is 0.372.

Step-by-step explanation:

To find the probability that eight of the players on the intramural basketball team will be boys, we need to determine the size of the group of interest and the sample.

The group of interest is the set of all possible teams that can be formed with 10 players. The sample is the total number of all possible teams that can be formed with the given number of boys and girls.

Using combinations, the size of the group of interest is C(15, 8) = 6435. The sample size is C(27, 10) = 17,280.

Therefore, the probability that eight of the players on the team will be boys is:

P(Eight boys) = 6435 / 17,280 = 0.372