18. A multiple choice exam consists of 6 questions, and each question V2 has 3 possible answers, exactly one of which is correct. Jeb decides to pick the answer to each question at random. What is the probabil- ity that he will get precisely two correct answers? (A) 16/729 (B) 2/3 (C) 1/3 (D) 80/243 (E) 40/243 (F) none of the aboye

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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18. A multiple choice exam consists
of 6 questions, and each question
Va
has 3 possible answers, exactly one
of which is correct. Jeb decides to
pick the answer to each question
at random. What is the probabil-
ity that he will get precisely two
correct answers?
(A) 16/729
(B) 2/3
(C) 1/3
(D) 80/243
(E) 40/243
(F) none of the above
Transcribed Image Text:18. A multiple choice exam consists of 6 questions, and each question Va has 3 possible answers, exactly one of which is correct. Jeb decides to pick the answer to each question at random. What is the probabil- ity that he will get precisely two correct answers? (A) 16/729 (B) 2/3 (C) 1/3 (D) 80/243 (E) 40/243 (F) none of the above
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