Posted by **anonymous** on Tuesday, March 10, 2009 at 12:51am.

A 4-person leadership committee is randomly chosen from a group of 24 candidates. Ten of the candidates are men, and 14 are women.

What is the probability that the committee is all male or all female?

What is the probability that the committe has at least 1 man or at least 1 women?

- algebra -
**drwls**, Tuesday, March 10, 2009 at 4:32am
All male probability: 10/24*9/23*8/22*7/21 = 5040/255,024

= 0.01976

All female probability:

14/24*13/23*12/22*11/21= 24,024/255,024

= 0.09420

prob. of at least one man and one woman:

= 1 - (prob. of zero males) - (prob. of zero females) = 1- 0.01976 - 0.09420

= 0.88604

## Answer this Question

## Related Questions

- math - a committee of 5 people is to be selected from a group of 6 men and 9 ...
- maths - .A committee of 6 is to be selected from a group of 6 men and 9 women. ...
- math - A committee of 4 is chosen from a group of 10 women and 6 men. Determine ...
- Probability - From a group of eight women and seven men, a committee of six is ...
- math - In a group of 7 men and 8 women, how many committees of 5 can be selected...
- Statistics Help - Six candidates for a new position of vice-president for ...
- Government US - Campaign spending tends to be greatly more important a. for ...
- math30 - A committee is to be formed to investigate what activities teenagers ...
- maths - How can I select a committee of 5 people out of 10 men and 8 women. ...
- gr12 math - froma group of 6 ladies and 4 men, determine in how many ways a ...