   Chapter 9.9, Problem 8ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# A pool of 10 semifinalists for a job consists of 7 men and 3 women. Bacause all are considered equally qualified the names of two of the semifinalists are drawn, one after the other, at random, to become finalists for the job. What is the probability that both finalists are women? What is the probability that both finalists are man? What is that probability that one finalists are woman and the other is a man?

To determine

To find out the probability that both finalists are women.

Explanation

Given information:

A pool of 10 semifinalists for a job consists of 7 men and 3 women and the two of the semifinalists are drawn one after the other to become finalists for the job.

Calculation:

Let W1= first person is women.

M1= first person is men.

W2= second person is women.

M2= second person is men.

Total balls =30+40=70.

Now calculate the probabilities on first draw

P(W1)=310P(M1)=710

To determine

What is the probability that both finalists are men?

To determine

To find the probability that one finalist is a woman and other is man.

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