SOLUTION: 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 answ

Algebra ->  Permutations -> SOLUTION: 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 answ      Log On


   

Question 1184774: 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.)
Answer by ikleyn(52778) About Me  (Show Source):
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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.)
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(a)  P = %2890%2F300%29%2A%2889%2F299%29%2A%2888%2F298%29 = 0.026369778.    ANSWER   (round it as you want).


(b)  P = %28C%5B90%5D%5E2%2AC%5B300-90%5D%5E1%29%2FC%5B300%5D%5E3 = %28C%5B90%5D%5E2%2AC%5B210%5D%5E1%29%2FC%5B300%5D%5E3 = %284005%2A210%29%2F4455100 = 0.188784.    ANSWER

Solved.