# Probability Question

• Feb 22nd 2011, 05:27 AM
Col
Probability Question
Hello!

I haven't done much math in a while and I really need help learning how to do probability. The question is:

Sixteen students (made up from 10 men and 6 women) have volunteered to be ushers at a concert. Since only 4 ushers are required, a draw will be made to select them. What is the probability that the ushers selected will be:

a) 4 Women
b) 4 Men
c) 2 Men and 2 Women

I would really appreciate if someone could help me learn this as soon as possible!
• Feb 22nd 2011, 05:52 AM
Sambit
For part (a), can you say in how many ways can 4 women be chosen from 6 women? And in how many ways can 4 people be selected from 16 people? You need to have concept of "combination" for that. Have you learnt it?
• Feb 22nd 2011, 06:14 AM
Col
Uhm, would you go 6 C 4 = 15

and 16 C 4 = 1820?
• Feb 22nd 2011, 07:39 AM
running-gag
Yes that's it (Nod)
• Feb 22nd 2011, 09:06 AM
Sambit
So the required probability for part (a) is 15/1820.
Try the other two in the same manner.