probability of an event under the uniform distribution

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Exercise 5.16.4: The probability of an event under the uniform distribution - picking teams.

10 kids are randomly grouped into an A team with five kids and a B team with five kids. Each grouping is equally likely.

(b)

There are two kids in the group, Alex and his best friend Jose. What is the probability that Alex and Jose end up on the same team?

(c)

If the group consists of five girls and five boys, what is the probability that all the girls end up on the same team?

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