Consider the following real world scenario:

In a recent U.S. Supreme Court, U.S Senate confirmation hearing, a statistic student realizes that there are 15 members. Two of those members are chooses to serve as the committee chair.And ranking member.

1. Suppose that each committee member is equally likely to serve in either of these positions. What is the probability of randomly selecting the committee chair and ranking membe?
2. Explain your understanding if only half the members can serve as the committee chair.