Assume that Math 118 students are comprised in the following way: 60% have never taken it, 30% have taken it once already, and 10% have taken it two or more times already. 70% of first-time students pass the course, 40% of second-time students pass the course, and 20% of students who have taken it two or more times pass the course. A Math 118 student is randomly selected and found to have failed the course. What is the probability that it was the student’s second time taking the course? Round your answer to 4 decimal places

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
Question

Assume that Math 118 students are comprised in the following way: 60% have never taken it, 30% have taken it once already, and 10% have taken it two or more times already. 70% of first-time students pass the course, 40% of second-time students pass the course, and 20% of students who have taken it two or more times pass the course. A Math 118 student is randomly selected and found to have failed the course. What is the probability that it was the student’s second time taking the course? Round your answer to 4 decimal places 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Conditional Probability, Decision Trees, and Bayes' Theorem
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