SOLUTION: A committee of seven people is to be selected from a group of 10 men and 8 women. What is the probability that the committee will be made up of:
a. three men and four women?
b. a
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Question 1064204: A committee of seven people is to be selected from a group of 10 men and 8 women. What is the probability that the committee will be made up of:
a. three men and four women?
b. at least six men?
c. at least two women?
d. at most two women or at least six women?
e. at most one man or at least five men?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A committee of seven people is to be selected from a group of 10 men and 8 women. What is the probability that the committee will be made up of:
a. three men and four women?
P(3 men and 4 women) = [10C3*8C4]/[18C7]
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b. P[at least six men] = [10C6*8C1+10C7]/[18C7]
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c. P[at least two women] = [8C2*10C5+8C3*10C4+8C4*10C3...+8C7]/[18C7]
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etc.
Cheers,
Stan H.
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d. at most two women or at least six women?
e. at most one man or at least five men?
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