A club with 50 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 11 Tutoring center 13 Soup kitchen 8 Library 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 soup kitchen? Do not round your intermediate computations. Round your final answer to three decimal places.

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windyyork windyyork · Answer 1 · 2019-09-25T10:07:03+02:00

Answer: Our required probability is 0.58.

Step-by-step explanation:

Since we have given that

Number of students worked in Nursing home = 11

Number of students worked in Tutoring center = 13

Number of students worked in Soup kitchen = 8

Number of students worked in Library = 18

Total number of students = 50

Since 3 students are selected from the club.

We need to find the probability that none of the three students volunteer at the soup kitchen.

So, Remaining students would be 50-8 = 42

So, probability that none of three students at the soup kitchen is given by

[tex]\dfrac{^{42}C_3}{^{50}C_3}\\\\=0.58[/tex]

Hence, our required probability is 0.58.