Question

An exam consists of ten multiple-choice questions, each of which has four choices and celly one correct answer. What is the probability of selecting all ten correct answers by making random choices for each question?

Name: Problem 75, Chapter 9: Schaum's Outline of Elements of Statistics I: Descriptive Statistics and Probability
Uploaded: 2023-10-16T06:37:04-08:00
Duration: 1 min 28 s
Channel: Manisha Sarker
Description: An exam consists of ten multiple-choice questions, each of which has four choices and celly one correct answer. What is the probability of selecting all ten correct answers by making random choices for each question?

   An exam consists of ten multiple-choice questions, each of which has four choices and celly one correct answer. What is the probability of selecting all ten correct answers by making random choices for each question?

Schaum's Outline of Elements of Statistics I: Descriptive Statistics and Probability

Stephen Bernstein,… 1st Edition

Chapter 9, Problem 75

Instant Answer

Solved by Expert Manisha Sarker

10/16/2023

Step 1

Since each question has four choices and only one correct answer, the probability of choosing the correct answer for one question is 1/4. Show more…

Show all steps

Thanks for your feedback!

An exam consists of ten multiple-choice questions, each of which has four choices and celly one correct answer. What is the probability of selecting all ten correct answers by making random choices for each question?

Play audio

Feedback

Manisha Sarker and 96 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Probability

Probability measures the likelihood of an event occurring and is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. It forms the foundation for determining the chance of success in any random experiment.

Independent Events

Independent events are those whose outcomes do not influence each other. When dealing with multiple events, such as answering individual questions, the outcome of one does not impact the outcomes of the others, allowing separate probability calculations for each.

Multiplication Rule

The multiplication rule for independent events states that the probability of several independent events occurring together is the product of their individual probabilities. This rule is essential for calculating the overall probability of a sequence of events where each event has a fixed probability.

Please give Ace some feedback