On a multiple-choice exam with four choices for each question, a student either knows the answer to a question or marks it at random. The probabilty that a student by mistake marks the wrong answer, even when he or she knows the answer is supposed to be 0.02. When Anna wrote the exam, her understanding of the subject was not complete, but the probability that she knew the answer to a randomly chosen question was 2/3. Taking one of the questions in Anna's exam that was correctly answered, what is the probability that Anna knew the answer to that question when she wrote the exam?

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...
icon
Related questions
icon
Concept explainers
Topic Video
Question

On a multiple-choice exam with four choices for each question, a student either knows the answer to a question or marks it at random. The probabilty that a student by mistake marks the wrong answer, even when he or she knows the answer is supposed to be 0.02. When Anna wrote the exam, her understanding of the subject was not complete, but the probability that she knew the answer to a randomly chosen question was 2/3. Taking one of the questions in Anna's exam that was correctly answered, what is the probability that Anna knew the answer to that question when she wrote the exam?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON