In the 108th congress the Senate consists of 51 Republicans

In the 108th congress, the Senate consists of 51 Republicans, 48 Democrats, and 1 Independent. If a lobbyist for the tobacco industry randomly selects three different Senators what is the probability that they are all Republicans?

Solution

In the 108th Congress, the Senate consists of 51 Republicans, 48 Democrats, and 1 independant. If a lobbyist for the tobacco industry randomly selects 3 different Senators, what is
probability that they are all Republicans = 51C3/100C3 = 0.1288