Question

There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.

Answer 1

The probability that eight of the players on the basketball team will be boys can be calculated using combination formulas.

Step-by-step explanation:

The group of interest in this question is the probability that eight of the players on the basketball team will be boys. The sample is the total number of players on the team, which is 10.

To find the probability, we need to calculate the number of ways to choose 8 boys from 15 and multiply it by the number of ways to choose 2 girls from 12. Then, we divide that by the total number of ways to choose 10 players from a group of 27.

The probability can be calculated as:

P(8 boys) = (C(15, 8) * C(12, 2)) / C(27, 10)