A university's leadership council is made up of 12 members: 5 are students, 4 are teachers, and 3 are deans. A newspaper reporter is planning to select t

Question

A university's leadership council is made up of
12
members:
5
are students,
4
are teachers, and
3
are deans. The first member will be chosen at random, and then the second member will be chosen at random from the remaining members. What is the probability that two deans will be selected?
Report your answer as an exact fraction.

Answer 1

It should be: 3/12 x 2/11 = 1/22

Answer 2

Probability of 2 dean selected:

3/12  * 3/12 = 1/16