SOLUTION: A club with 55 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 Nur

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Question 1165374: A club with 55 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
Nursing home 13
Tutoring center 11
Library 13
Pet shelter 18
Three students from the club are selected at random, one at a time without replacement. What is the probability that none of the three students volunteer at the library?
Do not round your intermediate computations. Round your final answer to three decimal places.

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

It means that every time we select a student from the set of 55-13 = 42 students that volunteer for other locations.


This probability is, obviously,  P = %2842%2F55%29%2A%2841%2F54%29%2A%2840%2F53%29 = 0.437583.        ANSWER

Solved.