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?

Guest Sep 4, 2021

#1**0 **

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.

geno3141 Sep 4, 2021