3. Suppose we have n many students in a class. Alice randomly chooses 2√n many students for the Baseball team. Bob independently and randomly chooses 2√n many students for the Basketball team. Show that with probability (1), there exists a student that is chosen for both teams.

3. Suppose we have n many students in a class. Alice randomly chooses 2√n many students for the Baseball team. Bob independently and randomly chooses 2√n many students for the Basketball team. Show that with probability (1), there exists a student that is chosen for both teams.

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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