Share

## 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.

in progress
0

Mathematics
6 months
2021-08-05T01:14:27+00:00
2021-08-05T01:14:27+00:00 1 Answers
16 views
0
## Answers ( )

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