A club contains 100 members; 51 are Democrats (or caucus with
Democrats) and 49 are Republicans. A committee of 10 members is
chosen at random.
- Compute the probability of Republicans on the committee for \(n=1,…,10\).
- Find the probability that the committee members are all the same party.
- Suppose you didn’t know how many Democrats there were in the senate. You observe that the committee of \(10\) members consists of \(k=7\) Democrats. Compute \(\mathbf{P}(M|k=7) \), where \(M\) is the number of Democrats in the Senate.
