SOLUTION: A committe of 5 people is to be selected from four males and six females. What is the probability that the committee created will contain at least 3 males?

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Question 742471: A committe of 5 people is to be selected from four males and six females. What is the probability that the committee created will contain at least 3 males?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
A committe of 5 people is to be selected from four males and six females. What is the probability that the committee created will contain at least 3 males?
To succeed we must select committees with  

3 males and 2 females or with 4 males and 1 female

The number of ways to select 3 males and 2 females is C(4,3)C(6,2) ways.

The number of ways to select 4 males and 1 females is C(4,4)C(6,1) ways

We add those to find the numerator of the desired probability

The number of ways to select any committee of 5 is "10 people Choose 5",
which is C(10,5) ways.

That's the denominator of the desired probability.

Desired probability =  =   

Edwin
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