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

See similar textbooks

Related questions

Q: A quiz consists of 6 multiple choice questions. Each question has 4 choices. A student who forgets…

A: Let X=the number of correct questions n=number of trials=6 p=probability of getting the correct…

Q: During the grand opening of an electronics store, any customer has a 9% chance of winning a free…

A: From the information, any customer has a 9% chance of winning a free laptop .

Q: Thirty students took a calculus exam. Of the students who passed the exam, 8 students earned an A, 9…

Q: You ask a friend to think of a number from four to thirteen. What is the probability that his number…

Q: On a 6 question multiple-choice test, where each question has 5 answers, what would be the…

A: From the provided information, Number of questions (n) = 6 Each question has 5 answers.

Q: A 7-question multiple-choice quiz has 5 possible answers for each question. Only one of the 5…

Q: In a throw of a coin, find the probability of getting a head.

Q: A multiple -choice test consists of 6 questions . Each question has answers choices of a,b,c,d, and…

A: From the provided information, Number of questions (n) = 6 Each question has answers choices of…

Q: What score is expected?

A: Here use binomial distribution

Q: A students takes a 5 – question, multiple-choice exam with four choices for each question and…

A: It is given that a students takes a 5 multiple choice question with each four choices.

Q: On a 9 question multiple-choice test, where each question has 4 answers, what would be the…

A: Obtain the probability of getting at least one question wrong. The probability of getting at…

Q: what is the probability that 2 will have no checkup, 3 will have 1 checkup, and 2 will have 2…

A: The probability that a person will have 0, 1, or 2 dental checkups a year is 0.24, 0.51, and 0.25…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: A student takes a 10-question multiple choice exam with three choices for each question and guesses…

A: Givensample size(n)=10p=13 (since 1 correct choice from 3 choices)Let "x" be the…

Q: Each question in a multiple-choice type of exam contains 4 possible answers. The professor gave a…

Q: multiple choice exam, there are 5 questions and 4 choices for each question. You did not study, and…

A: n=5, p=1/4=0.25, X~Binominal(n=5, p=0.25) Let X be the number of correct question p be the…

Q: United States, 40% of the population has brown eyes. If 14 p

A: Here it is given that- Sample proportion (p) = 40100=0.4 Total number of observations (n) = 14 As n…

Q: Find the indicated probability. A class consists of 27 women and 32 men. If a student is randomly…

Q: Assume that you guess on each question of a multiple choice test. There are 12 questions and each…

A: Given Data: The number of questions is: n=12 The possible answers to each question are: r=4 The…

Q: On a 10 question multiple-choice test, where each question has 3 answers, what would be the…

A: Given : Number of sample = n = 10 Probability of right question = p = 1/3 = 0.3 Probability of wrong…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: A student takes a true-false test but did not study and randomly guesses each answer. There are 20…

Q: On a 6 question multiple-choice test, where each question has 2 answers, what would be the…

A: GivenEach question has 2 answersso, p=12=0.5n=6x~Binomial(n=6,p=0.5)P(X=x)=(nx)×px×(1-p)n-x ;…

Q: On a shelf at a gaming store, there are five Sony Playstations and nine Nintendo Wii consoles left.…

A: We have given that On a shelf at a gaming store Number of Sony Playstations = 5 Number of Nintendo…

Q: Five cards are randomly selected from a 52-card deck for a poker hand. Find the probability of being…

A: Introduction: The number of cards in a deck is 52. The number of cards in the players hand is 5. The…

Q: Jina won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The…

A: 4 rings 3 cameras 2 headsets 9 total prizes

Q: questions by guessing randomly, find the probability of getting at

A: Given : A test contains 7 multiple-choice questions. n = 7 p = 1/2 = 0.5

Q: You randomly select one card from a 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: On a 9 question multiple-choice test, where each question has 3 answers, what would be the…

Q: An introductory nursing class has 9 freshman males, 15 freshman females, 8 sophomore males, and 12…

A: Given data, freshman males=9 freshman females=15 sophomore males=8 sophomore females=12 Total =44…

Q: Kai and Paula are two of the five members of a singing group. Every week, the group picks two names…

A: Here Given There is 5 members group And 2 members are chosen for each week.

Q: If you have to answer 14 multiple choice questions, with each question having 7 choices, what is the…

A: The objective of this question is to find the probability of getting 6 or more correct answers out…

Q: You are taking a multiple-choice quiz that consists of 10 questions. Each question has 5 possible…

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?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Conceptual Introduction

VIEW

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

VIEW

Step 3: Applying the Binomial Probability Formula

VIEW

Solution

VIEW

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

In the Florida State Lottery, you can bet $1 by selecting 3 numbers from 0 through 9 inclusive. You must select the same three numbers and they must be selected in the same order to win the $200 prize. What is the probability of winning the $200 prize?
On an 8-question multiple-choice test, where each question has two (2) answers, what would be the probability of getting at least one question wrong? Give your answer as a fraction
On a 10 question multiple-choice test, where each question has 5 answers, what would be the probability of getting at least one question wrong? Give your answer as a fraction
In the United States, 40% of the population has brown eyes. If 15 people are randomly chosen, what are the chances at least have 6 brown eyes? a 48.3% b 59.68% c 65.2% d 76.25%
Six questions are in a multiple-choice quiz. Each question has 5 possible answers. A student guesses at each question. Find the probability that the student has 4 correct answers. Find the probability that the student passes (earns at least 50%) What is the student's expected number of correct answers?
For Jermaine’s birthday, he can choose his gift from a stack of 4 sealed cards. Each card has one of four possible amounts: $10, $25, $50, and $100, and each amount has an equal probability. He is not allowed to open the card. Complete the table and answer the questions.
A multiple-choice test consists of 5 questions, each question with 4 possible responses(A, B, C, D). A student guesses on each question. Find the probability that the student will guess correctly on at least 1 question.
A quiz consists of five multiple choice questions. Each question has four choices. A student guesses randomly on every question. What is the probability that the student answers at least four questions correctly?
You took a test with 40 multiple choice questions. Each question had 5 choices. What is the probability that you get at least 28 questions correct if you guessed in all of them.
Find the indicated probability. A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?
You're taking a multiple choice exam. There are 10 questions, and for each question you select exactly one of 2 possible answers. If you choose random answers for each question, what is the probability that you will answer exactly 2 questions correctly?
A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you choose the tiles with the letters A, B, and C? Enter your final answer as a fraction in simplest form.