# Question

Suppose that there are 55 Democrats and 45 Republicans in the U.S. Senate. A committee of seven senators is to be formed by selecting members of the Senate randomly.

(a) What is the probability that the committee is composed of all Democrats?

(b) What is the probability that the committee is composed of all Republicans?

(c) What is the probability that the committee is composed of three Democrats and four Republicans?

(a) What is the probability that the committee is composed of all Democrats?

(b) What is the probability that the committee is composed of all Republicans?

(c) What is the probability that the committee is composed of three Democrats and four Republicans?

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