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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter0: Preparing For Algebra
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Problem 60POT
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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.

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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