A multiple choice exam has 4 choices for each of its 6 questions. The computer will randomize the choices, so that it is random whether a, b, c, or d will be correct for each question. What is the probability that every choice (a, b, c, or d) is the correct answer for some question? Your answer should be a probability value that is accurate to 3 decima

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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A multiple choice exam has 4 choices for each of its 6 questions. The computer will randomize the choices, so that it is random whether a, b, c, or d will be correct for each question.

What is the probability that every choice (a, b, c, or d) is the correct answer for some question? Your answer should be a probability value that is accurate to 3 decimal places.

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Step 1

Given that there are 4 choices for each of its 6 questions.

Among a, b, c and d, only one option be the correct option.

That is,

Pcorrect option=14P(incorrect option)=34

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