A committee of three people is selected at random from a set consisting of seven teachers, five parents of students, and six alumni. a. What is the probability of the event that the committee consists of all teachers? b. What is the probability of the event that the committee has no teachers? a. The probability the committee consists of all teachers is . (Type an integer or a simplified fraction.) b. The probability the committee has no teachers is. (Type an integer or a simplified fraction.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A committee of three people is selected at random from a set consisting of seven teachers, five parents of students, and six alumni.
a. What is the probability of the event that the committee consists of all teachers?
b. What is the probability of the event that the committee has no teachers?
a. The probability the committee consists of all teachers is
(Type an integer or a simplified fraction.)
b. The probability the committee has no teachers is
(Type an integer or a simplified fraction.)
Enter your answer in each of the answer boxes.
Transcribed Image Text:A committee of three people is selected at random from a set consisting of seven teachers, five parents of students, and six alumni. a. What is the probability of the event that the committee consists of all teachers? b. What is the probability of the event that the committee has no teachers? a. The probability the committee consists of all teachers is (Type an integer or a simplified fraction.) b. The probability the committee has no teachers is (Type an integer or a simplified fraction.) Enter your answer in each of the answer boxes.
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