Question

In a club with 11 male and 9 female members, an 8-member committee will be randomly chosen.

A) Probability of selecting all males = 11/20
B) Probability of selecting all females = 9/20
C) Probability of selecting 4 males and 4 females = (11C4 * 9C4) / 20C8
D) Probability of selecting 8 males or 8 females = (11C8 + 9C8) / 20C8

Answer 1

This question involves finding probabilities using the hypergeometric distribution when selecting an 8-member committee from a club with 11 males and 9 females.

Step-by-step explanation:

This question involves finding probabilities using the hypergeometric distribution. The hypergeometric distribution is used when sampling without replacement from two groups. In this case, we have 11 male and 9 female members, and we want to find the probabilities of different outcomes when selecting an 8-member committee.

1. Probability of selecting all males: 11/20
2. Probability of selecting all females: 9/20
3. Probability of selecting 4 males and 4 females: (11C4 * 9C4) / 20C8
4. Probability of selecting 8 males or 8 females: (11C8 + 9C8) / 20C8