Four hundred people apply for three jobs. Eighty 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? Pick one of the following 3 statements

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.
Yes, the probabilities indicate the presence of gender discrimination.