A Senate committee consists of 5 Republicans, 6 Democrats, and 3 Independents. A subcommittee of 3 members is randomly chosen. What is the probability that the subcommittee consists of three Republicans?
Since the subcommitte of 3 members must all be Republican,
the first member must be Republican (a probability of 5/14),
the second member must also be Republican (a probability of 4/13),
and the third member must also be Republican (a probability of 3/12).
To find the final probability, multiply these probabilities: 5/14 x 4/13 x 3/12.