A professor gives her class a short multiple choice quiz one day. There are three questions on the quiz. The first question has three possible answers (A, B, C), the second question has four possible answers (A, B, C, D) and the third question has five possible answers (A, B, C, D, E). An unprepared student randomly guesses the answer to each of the three questions. What is the probability that the student gets exactly one of the answers correct? (A) 0.3167 (B) 0.4333 (C) 0.5667 (D) 0.6725 (E) 0.7833

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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A professor gives her class a short multiple choice quiz one day. There are three questions
on the quiz. The first question has three possible answers (A, B, C), the second question
has four possible answers (A, B, C, D) and the third question has five possible answers (A,
B, C, D, E). An unprepared student randomly guesses the answer to each of the three
questions. What is the probability that the student gets exactly one of the answers
correct?
(A) 0.3167
(B) 0.4333
(C) 0.5667
(D) 0.6725
(E) 0.7833
Transcribed Image Text:A professor gives her class a short multiple choice quiz one day. There are three questions on the quiz. The first question has three possible answers (A, B, C), the second question has four possible answers (A, B, C, D) and the third question has five possible answers (A, B, C, D, E). An unprepared student randomly guesses the answer to each of the three questions. What is the probability that the student gets exactly one of the answers correct? (A) 0.3167 (B) 0.4333 (C) 0.5667 (D) 0.6725 (E) 0.7833
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