Consider a tournament between N teams, each team playing each of the other teams. Let’s call team i a k-winner if there is a group of k-many teams that were each beaten by team i. Other teams may have beaten team i, but there is at least a group of size k that was roundly beaten by i. Question: If the results of each game are decided by fair coin flip, what is the probability that a given team i is a k-winner?

Consider a tournament between N teams, each team playing each of the other teams. Let’s call team i a k-winner if there is a group of k-many teams that were each beaten by team i. Other teams may have beaten team i, but there is at least a group of size k that was roundly beaten by i. Question: If the results of each game are decided by fair coin flip, what is the probability that a given team i is a k-winner?

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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