SOLUTION: There are 5 women and 7 men who are reporters for a magazine. There are 6 articles that need to be written. If 6 reporters are chosen at random to write the articles, what is the p

Question 314281: There are 5 women and 7 men who are reporters for a magazine. There are 6 articles that need to be written. If 6 reporters are chosen at random to write the articles, what is the probability that 3 are men and 3 are women?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 5 women and 7 men who are reporters for a magazine. There are 6 articles that need to be written. If 6 reporters are chosen at random to write the articles, what is the probability that 3 are men and 3 are women?
---
# of ways to select 3 men: 7C3 =
---
# of ways to select 3 women: 5C3 =
------------------------------------------
# of ways to choose 6 randomly: 12C6 = 924
------------------------------------------
P(3 men and 3 women) = [35*10]/924 = 0.3788
==============================================
Cheers,
Stan H.
==================
RELATED QUESTIONS
A monthly magazine is hiring reporters to cover school events and local events. In each... (answered by stanbon)

There is a ratio 6:5 men to women if there are 3600 men how many women are there (answered by josgarithmetic)

6 reporters can write 24 articles in 2 days. How long would it take 12 reporters to write (answered by josgarithmetic,greenestamps)

At a certain college, the ratio of men to women is 6 to 5. If there are 2580 men, how... (answered by ikleyn)

The ratio of men to women at a class is 6:5. How many women students are there if there... (answered by Fombitz)

A financial magazine was asked to obtain a list of 10 randomly selected upper management (answered by Theo)

A commite of 5 is to be form from a club membership of 7 men and 6 women. In how many... (answered by ewatrrr)

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

There are 6 men and 5 women. Of them, there will be 3 officers and no more than 2... (answered by Boreal)