A local chess club holds a tournament where each participant plays a game against all the others; for example, if there are 6 participants, there will be 15 games played. The chess club invites 10 participants, but each participant only has a 1/2 chance of showing up (independently). What is the expected number of games played?

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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A local chess club holds a tournament where each participant plays a game against all the others; for example, if there are 6 participants, there will be 15 games played. The chess club invites 10 participants, but each participant only has a 1/2 chance of showing up (independently). What is the expected number of games played?

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