Question: Senate Partisanship. The composition of the Senate of the 107^th Congress is

49 Republicans 1 Independent 50 Democrats

A new committee is being formed to study ways to benefit the arts in education. If 3 Senators are selected at random to head the committee, what is the probability that they will all be Republicans? What is the probability that they will all be Democrats? What is the probability that there will be 1 from each party, including the Independent?