Probability Question

Question

Three hundred people apply for three jobs. Sixty 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.)

Answer 1

chance of all 3 women

60/300 x 59/299 x 58/298 = 205320/26730600 =0.000768

chance of no women

240/300 x 239/299 x 238/298 = 13651680/26730600 = 0.510714