Question

A two-person team is being chosen from two different groups. Group 1 has 5 males and 3 females. Group 2 has 7 males and 8 females. One person is chosen at random from each group. What is the probability that the team consists of two females?

Answer 1

20% probability that the team consists of two females

Explanation:

Group 1

5 males and 3 females, so 8 people. 3 of them are female.

3/8 probability of selecting a female.

Group 2

7 males and 8 female, so 15 people, of which 8 are female.

8/15 probability of selecting a female

Team:

Group 1 and group 2 are independent, so we just multiply these probabilities.

3/8*8/15 = 0.2

20% probability that the team consists of two females