SOLUTION: Elizabeth has 12 female friends and 10 male friends. If she is having an eight-person party, what is the probability that there will be 5 girls and 3 boys, if she chooses people at
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Question 313457: Elizabeth has 12 female friends and 10 male friends. If she is having an eight-person party, what is the probability that there will be 5 girls and 3 boys, if she chooses people at random?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Elizabeth has 12 female friends and 10 male friends. If she is having an eight-person party, what is the probability that there will be 5 girls and 3 boys, if she chooses people at random?
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# of ways to select 5 girls: 12C5
# of ways to select 3 boys: 10C3
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# of ways to select 8 people randomly: 22C8
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P(5 girls and 3 boys) = [12C5*10C3]/[22C8] = 0.2972
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Cheers,
Stan H.
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