SOLUTION: There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls a

Algebra ->  Permutations -> SOLUTION: There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls a      Log On


   



Question 924522: There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls and 5 boys
Answer by stanbon(75887) About Me  (Show Source):
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There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls and 5 boys
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# of ways to succeed:: 6C5 * 7C5 = 6 * 21 = 126 ways
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# of random groups of 10:: 13C10 = 286
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P(condition) = 126/286 = 0.4406
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Cheers,
Stan H.
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