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# One hundred eighty people apply for three jobs. Fifty of the applicants are women.?

a) If three people are selected at random, what is the probability that all are women?

b) If three people are selected at random, what is the probability two are women?

c) If three people are selected at random, what is the probability one is a woman?

d) If three people are selected at random, what is the probability none is a woman?

### 1 Answer

- az_lenderLv 72 months ago
(a) (50/180)*(49/179)*(48/178) = around 2% but use a calculator.

(b) I guess this means the probability that EXACTLY two are women and one is a man?

3*(50/180)*(49/179)*(130/178) = around 15% but use a calculator.

(c) The probability that EXACTLY one is a woman would be

3*(50/180)*(130/179)*(129/178) = around 40% but use a calculator.