A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that: a. three males are selected b. three females are selected.

A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that: a. three males are selected b. three females are selected.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A math class consists of 25 students, 14 female and 11 male. Three students are selected
at random to participate in a probability experiment. Compute the probability that:

a. three males are selected

b. three females are selected.

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Expert Solution

Step 1

a) We can select 3 males from 11 male in 11C3 = 165 ways

We can select any 3 students from 25 students in 25C3=2300 ways

So the probability of selecting three males = 165/2300 = 33/460

Answer(a): 33/460

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