Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q14 (page 143)

In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and 1.

SAT Test When making a random guess for an answer to a multiple-choice question on an SAT test, the possible answers are a, b, c, d, e, so there is 1 chance in 5 of being correct.

Short Answer

Expert verified

The probability of getting the correct answer in a multiple-choice question is 0.2.

Step by step solution

01

Given information

For a multiple-choice question, there are five options (a, b, c, d, e).

There are 1 in 5 chances of getting the correct answer.

02

Define probability

Probability is a number that tells the likelihood of the occurrence of an event.

It is computed using the formula

PA=NumberofoutcomesinwhichAislikelytooccurTotalnumberofoutcomes

03

Calculate the probability 

Here, the total number of answers for a multiple-choice question is five.

There is 1 in 5 chances to get the correct answer.

It means the number of correct answers is 1.

Considering that all the choices are equally likely to occur, the probability of getting the correct answer is

Pcorrectchoice=NumberofcorrectchoicesTotalnumberofchoices=15=0.2

Therefore, the probability of choosing the correct answer is 0.2.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Rule of Complements When randomly selecting an adult, let B represent the event of randomly selecting someone with type B blood. Write a sentence describing what the rule of complements is telling us:PBorB¯=1

In Exercises 25–32, find the probability and answer the questions.. Car Rollovers In a recent year in the United States, 83,600 passenger cars rolled over when they crashed, and 5,127,400 passenger cars did not roll over when they crashed. Find the probability that a randomly selected passenger car crash results in a rollover. Is it unlikely for a car to roll over in a crash?

At Least One. In Exercises 5–12, find the probability.

At Least One Correct Answer If you make random guesses for 10 multiple choice SAT test questions (each with five possible answers), what is the probability of getting at least 1 correct? If these questions are part of a practice test and an instructor says that you must get at least one correct answer before continuing, is there a good chance you will continue?

In Exercises 21–24, use these results from the “1-Panel-THC” test for marijuana use, which is provided by the company Drug Test Success: Among 143 subjects with positive test results, there are 24 false positive results; among 157 negative results, there are 3 false negative results. (Hint: Construct a table similar to Table 4-1, which is included with the Chapter Problem.)

Testing for Marijuana Use If one of the test subjects is randomly selected, find the probability that the subject tested negative or used marijuana.

Notation When randomly selecting an adult, A denotes the event of selecting someone with blue eyes. What do P(A)and PA¯represent ?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free