In a mathematics competition, there are 10 multiple-choice questions. Each question has one correct answer out of four choices. A participant randomly guesses the answer to each question. What is the probability that the participant answers exactly 6 questions correctly?

In a mathematics competition, there are 10 multiple-choice questions. Each question has one correct answer out of four choices. A participant randomly guesses the answer to each question. What is the probability that the participant answers exactly 6 questions correctly?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

In a mathematics competition, there are 10 multiple-choice questions. Each question has one correct answer out of four choices. A participant randomly guesses the answer to each question.

What is the probability that the participant answers exactly 6 questions correctly?

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Step 1: Conceptual Introduction

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Step 2: Calculating the Number of Ways to Choose 6 Questions out of 10

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Step 3: Applying the Binomial Probability Formula

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