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 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

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

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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both questions please. thank you!