SOLUTION: A committee of three people is selected at random from a set consisting of seven Americans, five French people, and three English people. a. what is the probability of the even

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Question 1072793: A committee of three people is selected at random from a set consisting of seven Americans, five French people, and three English people.
a. what is the probability of the event that that the committee consists of all Americans?
b. what is the probability of the event that the committee has no Americans?

Answer by jorel1380(3719) About Me  (Show Source):
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There are 7 Americans out of 7+5+3, or 12 people. Thus, the probability of selecting all Americans would be (7/12)^3, or .19580. The probability of no Americans is (5/12)^3, or .0723380. ☺☺☺☺