Twohundred people apply for three jobs.60of 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?

Choose either:

Yes, the probabilities indicate the presence of gender discrimination.

No, because in the hiring process all outcomes are not equally likely.