Question

A math class consists of 11 students, 9 female and 2 male. Three students are selected at random to participate in a probability experiment. Compute the probability that a male is selected, then two females.

Answer 1

8/55

Explanation:

There are 11 students, 2 of which are male. The probability that the first student selected is male is 2/11.

There are 10 students remaining, 9 of which are female. The probability that the second student selected is female is 9/10.

There are 9 students remaining, 8 of which are female. The probability that the third student selected is female is 8/9.

The total probability is:

P = (2/11) (9/10) (8/9)

P = 8/55