A class of 15 students is working on an in-class assignment. The students are split up into 5 groupsof 3, and asked to solve a probability problem. Each student (independently) has a 1/2 chance of knowing how to do the problem; however, if anyone in a group knows how to do the problem,everyone in the group gets it right. What is the expected number of students that get the problem right?
A class of 15 students is working on an in-class assignment. The students are split up into 5 groupsof 3, and asked to solve a probability problem. Each student (independently) has a 1/2 chance of knowing how to do the problem; however, if anyone in a group knows how to do the problem,everyone in the group gets it right. What is the expected number of students that get the problem right?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 11T: Three people are chosen at random from a group of five men and ten women. What is the probability...
Question
A class of 15 students is working on an in-class assignment. The students are split up into 5 groups
of 3, and asked to solve a probability problem. Each student (independently) has a 1/2 chance of knowing how to do the problem; however, if anyone in a group knows how to do the problem,
everyone in the group gets it right.
of 3, and asked to solve a probability problem. Each student (independently) has a 1/2 chance of knowing how to do the problem; however, if anyone in a group knows how to do the problem,
everyone in the group gets it right.
What is the expected number of students that get the problem right?
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