SOLUTION: A company manager wants to hire 4 people from a group of 10 applicants, 4 men and 6 women, all of whom are equally qualified to fill the position. If he selects the four at random,
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Question 464941: A company manager wants to hire 4 people from a group of 10 applicants, 4 men and 6 women, all of whom are equally qualified to fill the position. If he selects the four at random, what is the probability that
i. All four will be women
ii. At least two will be men?
You can put this solution on YOUR website! 4 men, 6 women
.
i)
6C4/10C4
=15/210
=1/14 probability of 4 w.
.
ii)
(6C3 * 4C1)=8/21 Probability of 3 w and 1 m.
1-(1/14 + 8/21)=
1 - 19/42
23/42 Probability at least two will be men.
.
Ed
