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
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
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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Please provide thorough reasoning. Highlighted is the correct answer.

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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