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Three hundred people apply for three jobs. 80 of the applicants are women.
(a) If three persons are selected at random, what is the probability that all are women?
(Round the answer to six decimal places.)
(b) If three persons are selected at random, what is the probability that two are women?
(Round the answer to six decimal places.)
(c) If three persons are selected at random, what is the probability that one is a woman?
(Round the answer to six decimal places.)
(d) If three persons are selected at random, what is the probability that none is a woman?
(Round the 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.
No, because in the hiring process all outcomes are not equally likely.
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I will solve/answer here (a), (b), (c) and (d), that relate to Math,
and will not touch (e), since it relates to opinion, not to knowledge or skills.
(a) P = = 0.018442. ANSWER
(b) P = = 0.052015. ANSWER
(c) P = = 0.144194. ANSWER
(d) P = = 0.392929. ANSWER
Solved.
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The formulas in each part are self-explanatories.
This problem is good to learn on how to write the solution formulas quickly
and how to get the numerical values fast.