SOLUTION: 180 people apply for 5 jobs. Fifty of the applicants are women. If 5 persons are selected at random, find the following probabilities ( answer may be left in combinatorial notation

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Question 914102: 180 people apply for 5 jobs. Fifty of the applicants are women. If 5 persons are selected at random, find the following probabilities ( answer may be left in combinatorial notation)
A. The probability that all are women.
B. Probability that exactly one is a man.
C. Probability that at least two are men.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
180 people: 50W, 130M
5 selected:
A. P(all women) = %2850C5%29%2F%28180C5%29 = 2118760/1488847536 = .0014
B. P(exactly one man) = %28130C1%29%2850C4%29%2F%28180C5%29 = 275438800/1488847536 = .1850
C. P (at least two men) = 1 - %28%28130C0%29%2850C5%29+%2B+%28130C1%29%2850C4%29+%29+%2F%28180C5%29
0r
P (at least two men) = 1 - .0014 - .1850
check Arithemetic