A teacher has 30 students in their class, including 15 girls and 15 boys. If the teacher selects a group of 6 students at random to participate in a class project, what is the probability that exactly 3 girls and 3 boys will be selected? What is the probability that the group will consist of only girls or only boys? Show your work and explain your reasoning.

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 teacher has 30 students in their class, including 15 girls and 15 boys. If the teacher selects a group of 6 students at random to participate in a class project, what is the probability that exactly 3 girls and 3 boys will be selected? What is the probability that the group will consist of only girls or only boys? Show your work and explain your reasoning.
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