Question

A university's leadership council is made up of members: are students, are teachers, and are deans. A newspaper reporter is planning to select two of the council members for interviews. 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?

Answer 1

Answer: 1/26 = 0.0385

Explanation:

A university's leadership council is made up of 13 members: 5 are students, 5 are teachers, and 3 are deans. A newspaper reporter is planning to select two of the council members for interviews. 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?

Total of combinations: C₁₃,₂ = 78

2 deans: C₃,₂ = 3

Probability: 3/78 = 1/26 = 0.0385