Suppose the composition of the 107th Senate is 45 Republicans, 50 Democrats, and 5 Independents. A new committee is being formed to study wa

Question

Suppose the composition of the 107th Senate is 45 Republicans, 50 Democrats, and 5 Independents. A new committee is being formed to study ways to benefit the arts in education. If 3 senators are selected at random to head the committee, find the probability of the following:
Part 1. The group of 3 consists of all Republicans.
Part 2. The group of 3 consists of all Democrats.
Part 3. The group of 3 consists of 1 from each party, including the Independent.

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Mít Mít 6 months 2021-08-05T01:14:27+00:00 1 Answers 16 views 0

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    2021-08-05T01:16:15+00:00

    Answer:

    1 : 0.088

    2 : 0.12

    3 : 0.07

    Step-by-step explanation:

    45 Rebullicans

    50 Democrats

    5 independents

    Total = 100

    Selection =  3

    Part 1:

    (45 C 3) / (100 C 3) = 0.088

    Part 2:

    (50 C 3) / (100 C 3) = 0.12

    Part 3:

    (45 C 1) x (50 C 1) x (5 C 1) / (100  C 3) = 0.07

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