SOLUTION: two representatives are chosen at random from a group of 180 students that has 90 girls and 90 boys. what is the probability that the representatives selected are either both boys

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Question 730920: two representatives are chosen at random from a group of 180 students that has 90 girls and 90 boys. what is the probability that the representatives selected are either both boys or both girls?
Answer by stanbon(75887) About Me  (Show Source):
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two representatives are chosen at random from a group of 180 students that has 90 girls and 90 boys. what is the probability that the representatives selected are either both boys or both girls?
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# of same sex pairs: 2*90C2 = 2*4005 = 8010
# of general pairs:: 180C2 = 16110
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P(same sex) = 8010/16110 = 0.4972
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Cheers,
Stan H.