SOLUTION: Six children are selected from a group of 10 boys and 12 girls. Find the probability that half are boys and half are girls. Thanks for your help!
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Question 736134: Six children are selected from a group of 10 boys and 12 girls. Find the probability that half are boys and half are girls. Thanks for your help!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Six children are selected from a group of 10 boys and 12 girls. Find the probability that half are boys and half are girls. Thanks for your help!
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# of ways to select 3 boys: 10C3 = (10*9*8)/(1*2*3) = 120
# of ways to select 3 girls: 12C3 = (12*11*10)/(1*2*3) = 220
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# of ways to select 6 from 22: 22C6 = 74813
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P(3 boys and 3 girls) = (120*220)/74813 = 0.3538
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Cheers,
Stan H.
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