Is this Binomial Distribution? How do i even identify if it is?

[pbrain26]

A board of directors consists of eight men and four women.
A four-member search committee is randomly chosen to recommend a new company president.
What is the probability that all four members of the search committee will be women?

Please Help

 

[MarkFL]

I would just compute the number of ways all 4 women can be chosen and divide by the number of ways to choose 4 from 12.

 

[pbrain26]

I would just compute the number of ways all 4 women can be chosen and divide by the number of ways to choose 4 from 12.

Sooo are the number of ways all 4 women can be chosen, is it 4/12 ^4 ?

 

[MarkFL]

Sooo are the number of ways all 4 women can be chosen, is it 4/12 ^4 ?

Since there are only 4 women in the board of directors, there is only one way to choose 4 women, namely to choose all of them, since order doesn't matter here. Now, for computing the number of ways to choose 4 from 12, we may use:

[MATH]{12 \choose 4}=\frac{12!}{4!(12-4)!}[/MATH]
Can you proceed?

 

[JeffM]

The binomial distribution applies to the probability of events that are independent.

Is the probability that the second person selected is a woman independent of the probability that the first person selected is a woman?