A club with  45  college students is doing volunteer work this semester. Each student is volunteering at one of four locations. Here is a summary.   Location Number of students Soup kitchen 17 Tutoring center 5 Nursing home 9 Library 14   Three students from the club are selected at random, one at a time without replacement. What is the probability that all three of the students volunteer at the library?   Do not round your intermediate computations. Round your final answer to three decimal places.

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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A club with 

45

 college students is doing volunteer work this semester. Each student is volunteering at one of four locations. Here is a summary.

 

Location Number of students
Soup kitchen
17
Tutoring center
5
Nursing home
9
Library
14

 

Three students from the club are selected at random, one at a time without replacement. What is the probability that all three of the students volunteer at the library?

 

Do not round your intermediate computations. Round your final answer to three decimal places.

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