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,

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?

Answer by edjones(8007) (Show Source): 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
RELATED QUESTIONS
A company manager wants to hire 4 people from a group of 10 applicants, 4 men and 6... (answered by jorel1380)

a group of 6 men and 4 women.... three people are selected to attend a conference. in... (answered by stanbon)

A company is to hire two new employees. They have prepared a final list of seventeen... (answered by ikleyn)

From a group of 6 men and 4 women we have to choose a committee of 5 people. How many... (answered by ikleyn)

There are six positions available in the research department of a software company. Of... (answered by stanbon)

From a group of 6 men and 4 women we have to form a committee of 5 people how many... (answered by greenestamps)

A company is to hire two employees. They have prepared a final list of eight candidates,... (answered by ikleyn)

from a group of 7 men and women, a 4 person committee is chosen. what is the probability... (answered by addingup)

I am sorry for the duplicate post. This is an important concept that I can't seem to... (answered by stanbon)