1. A student-faculty government committee of 4 people is to be formed from 20 student volunteers and 5 faculty volunteers. a. If one person from the group of volunteers is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a student? b. How many ways can the committee of four be formed if there are no restrictions on composition. c. How many ways can two of the students be chosen? d. How many ways can 2 faculty be chosen? e. What is the probability that the random selection of the four-person committee will result in two students and two faculty?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Be sure that you show all of your work to reach your answer. Each step must be on a separate line. Your method to reach your answer must be clear and include explanations.
1. A student-faculty government committee of 4 people is to be formed from 20 student volunteers and 5 faculty volunteers.
a. If one person from the group of volunteers is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a student?
b. How many ways can the committee of four be formed if there are no restrictions on composition.
c. How many ways can two of the students be chosen?
d. How many ways can 2 faculty be chosen?
e. What is the probability that the random selection of the four-person committee will result in two students and two faculty?
Transcribed Image Text:Be sure that you show all of your work to reach your answer. Each step must be on a separate line. Your method to reach your answer must be clear and include explanations. 1. A student-faculty government committee of 4 people is to be formed from 20 student volunteers and 5 faculty volunteers. a. If one person from the group of volunteers is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a student? b. How many ways can the committee of four be formed if there are no restrictions on composition. c. How many ways can two of the students be chosen? d. How many ways can 2 faculty be chosen? e. What is the probability that the random selection of the four-person committee will result in two students and two faculty?
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