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6. Richard has been given a 6-question multiple-choice.quiz in his history class. Each question has four choices of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. Assuming that Richard guesses on all 6 questions, find the probability that he will answer exactly 4 questions correctly. Round your answer to the nearest thousandth.

6. Richard has been given a 6-question multiple-choice.quiz in his history class. Each question has four choices of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. Assuming that Richard guesses on all 6 questions, find the probability that he will answer exactly 4 questions correctly. Round your answer to the nearest thousandth.

A First Course in Probability (10th Edition)
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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6. Richard has been given a 6-question multiple-choice. quiz in his history class. Each question has four choices, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. Assuming that Richard guesses on all 6 questions, find the probability that he will answer exactly 4 questions correctly. Round your answer to the nearest thousandth.
Transcribed Image Text:6. Richard has been given a 6-question multiple-choice. quiz in his history class. Each question has four choices, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. Assuming that Richard guesses on all 6 questions, find the probability that he will answer exactly 4 questions correctly. Round your answer to the nearest thousandth.
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