Question
An employer wishes to hire five people from a group of 24 applicants. 14 men and 10 women
all of whom are equally qualified to fill the position. If he selects the five at random, what is
the probability that (i) all five will be men, (ii) at least one will be a women.
all of whom are equally qualified to fill the position. If he selects the five at random, what is
the probability that (i) all five will be men, (ii) at least one will be a women.
Answers
R_scott
there are 24C5 ways of selecting 5 people from 24
(i) there are 14C5 ways of selecting 5 men
... p(5 men) = 14C5 / 24C5
(ii) the probability of AT LEAST ONE woman is ... 1 - answer from (i)
(i) there are 14C5 ways of selecting 5 men
... p(5 men) = 14C5 / 24C5
(ii) the probability of AT LEAST ONE woman is ... 1 - answer from (i)