A teacher is assigning 32 presentation topics to 9 students at random. Each student will get 3 topics, and no topic will be repeated. Somil is very interested in 5 topics. What is the probability that Somil will be assigned at least one of his preferred topics? Complete the explanation on how you arrived at your answer. Somil being assigned at least one of his preferred topics is the complement of Somil being assigned (select) of his preferred topics. Calculate the probability of this first, since it is easier. The sample space n (S) is the number of combinations of 3 presentation topics Somil could be assigned which is .Somil is not very interested in topics. The event space n (A) is the number of combinations of 3 topics in which Somil is not very interested which is The probability that Somil is not assigned any of his preferred topics is 992 Thus the probability that Somil is assigned at least one of his preferred topics is 992
A teacher is assigning 32 presentation topics to 9 students at random. Each student will get 3 topics, and no topic will be repeated. Somil is very interested in 5 topics. What is the probability that Somil will be assigned at least one of his preferred topics? Complete the explanation on how you arrived at your answer. Somil being assigned at least one of his preferred topics is the complement of Somil being assigned (select) of his preferred topics. Calculate the probability of this first, since it is easier. The sample space n (S) is the number of combinations of 3 presentation topics Somil could be assigned which is .Somil is not very interested in topics. The event space n (A) is the number of combinations of 3 topics in which Somil is not very interested which is The probability that Somil is not assigned any of his preferred topics is 992 Thus the probability that Somil is assigned at least one of his preferred topics is 992
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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Transcribed Image Text:A teacher is assigning 32 presentation topics to 9 students at random. Each student will get 3 topics, and
no topic will be repeated. Somil is very interested in 5 topics. What is the probability that Somil will be
assigned at least one of his preferred topics? Complete the explanation on how you arrived at your
answer.
Somil being assigned at least one of his preferred topics is the complement of Somil being assigned
(select) of his preferred topics. Calculate the probability of this first, since it is easier. The sample
space n (S) is the number of combinations of 3 presentation topics Somil could be assigned which is
.Somil is not very interested in
topics. The event space n (A) is the number of
combinations of 3 topics in which Somil is not very interested which is
The probability that Somil is not assigned any of his preferred topics is
992
Thus the probability that Somil is assigned at least one of his preferred topics is
992
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