   Chapter 9.9, Problem 32ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# A person takes a multiple-choice exam in which each question has four possible answers. Suppose that the person has no idea about the answers to three of the questions and simply chooses randomly for each one. a. What is the probability that the person will answer all three questions correctly? b. What is the probability that the person will answer exactly two questions correctly? c. What is the probability that the person will answer exactly one question correctly? d. What is the probability that the person will answer no questions correctly? e. Suppose that the person gets one point of credit for each correct answer and that 1/3 point is deducted for each incorrect answer. What is the expected value of the person’s score for the three questions?

To determine

To find out the probability that the student answers all three questions correctly.

Explanation

Given information:

Calculation:

According to the given information the following things can be written

p=probability that student answers the question correctlyp=14q=probability

To determine

To find out the probability that the student answers exactly two questions correctly.

To determine

To find out the probability that the student answers exactly one question correctly.

To determine

To find out the probability that the student answers no questions correctly.

To determine

To find out the expected value of the person’s score for the three questions.

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