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

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...

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