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 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 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...
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4 Team effort (
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 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?
Transcribed Image Text:4 Team effort ( 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 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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