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March 27, 2015

March 27, 2015

Posted by **CARMEN** on Tuesday, June 22, 2010 at 10:37pm.

Three hundred people apply for three jobs. 90 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.

- math -
**Reiny**, Tuesday, June 22, 2010 at 10:54pmso we have 210 men and 90 women,

Must choose 3

a) (90/300)(89/299)(88/298) = .026370

or

C(90,3)/C(300,3) = .026370

b) so you want permutations of WWM

= 3(90/300)(89/299)(210/298) = .188784

or

C(90,2)C(210,1)/C(300,3) = .188784

c) short way:

C(90,1)C(210,2)/C(300,3) = .....

d) none is woman ---> all 3 men

C(210,3)/C(300,3) = ...

e) your call.

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