SOLUTION: From a group of 6 men and 4 women, a committee of 3 is to be selected at random. find Probability of at least 2 women to be selected for the committee. Please list the equation

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Question 199685: From a group of 6 men and 4 women, a committee of 3 is to be selected at random. find Probability of at least 2 women to be selected for the committee.
Please list the equation with the formula below, I don't understand how to work the other explanation
P(at least 2 women) = P(2 women) + P(3 women)
Thank you! this probability is really hard to understand, thanks for your help :)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the number of 3 person committees from a group of 10 is 10C3

groups of 2 women from a field of 4 is 4C2
groups of 1 men from a field of 6 is 6C1
so the number of 3 person groups with 2 women is (4C2)(6C1)

groups of 3 women from a field of 4 is 4C3

so the probability of at least 2 women in the group is [(4C2)(6C1) + 4C3] / 10C3