Mathematics: 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.

24 is not a prime factor, so it cannot be the be the prime factorization of a number...

Suppose the composition of the 107th Senate is

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01.08.2021

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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