Three hundred people apply for three jobs. Ninety of the applicants are women.
(a) If three people are selected at random, what is the
probability that all are women? (Round your answer to six decimal
places.)
(b) If three people are selected at random, what is the probability
that two are women? (Round your answer to six decimal
places.)
(c) If three people are selected at random, what is the probability
that one is a woman? (Round your answer to six decimal
places.)
(d) If three people are selected at random, what is the probability
that none is a woman? (Round your answer to six decimal
places.)
(e) If you were an applicant, and the three selected people were
not of your gender, should the above probabilities have an impact
on your situation? Why?
Yes, the probabilities indicate the presence of gender discrimination.
The probabilities do not indicate presence or absence of gender discrimination. For the employer to choose the most appropriate person for the job means that not all events are equally likely.
No, the probabilities do not indicate the presence of gender discrimination because in the hiring process all outcomes are equally likely.
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