Question

A focus group is made up 12 males and 4 females. Half of the males have college degrees. A member is selected at random from the geoup. What is the probability that the member is a male with a college degree?

Answer 1

3/8

Explanation:

We first have to find the probability that the person selected is a male and then multiply that by the probability that the male has a college degree.

There are 12 males and 4 females. There are 16 people in total. The probability of selecting a male is:

12/16 = 3/4

Half of the males have a college degree. Therefore, 6 males have a college degree. The probability that a selected male has a college degree is:

6/12 = 1/2

Therefore, the probability that a male is selected and that the male has a college degree is:

3/4 * 1/2 = 3/8