On this problem, it is possible that hiring all males would be gender bias, but hiring all females is not gender bias. The reason for this is that we have many more females that applied for the jobs (19 females  and 8 males). Therefore, the probability of at least one female hired would be higher than the probability of at least one male hired. 8. What is the probability that three are female?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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31.  On this problem, it is possible that hiring all males would be gender bias, but hiring all females is not gender bias. The reason for this is that we have many more females that applied for the jobs (19 females  and 8 males). Therefore, the probability of at least one female hired would be higher than the probability of at least one male hired.

8. What is the probability that three are female?   

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