The composition of the 108 congress was 51 republican 48 democrats and 1 independent.a committee on aid to higher education is to be form with 3 senators to be chosen random to head the committee. find the probability that the group of 3 consist of, all republicans , all democrats, 1 republican, 1 democrat, 1 independent?

Question

The composition of the 108 congress was 51 republican 48 democrats and 1 independent.a committee on aid to higher education is to be form with 3 senators to be chosen random to head the committee.  find the probability that the group of 3 consist of, all republicans , all democrats, 1 republican, 1 democrat, 1 independent?

PsyDAG · Answer

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

There is no replacement.

All Repub. = 51/108 * 50/107 * 49/106 = ?

All Dem = 48/108 * 47/107 * 46/106 = ?

One each = 1/108 * 51/107 * 48/106 = ?