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.

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.