SOLUTION: there are 15 teachers; 11 are women and 4 are men. Two are selected at random to meet the governor. What is the probability that both are the same gender?

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Question 663335: there are 15 teachers; 11 are women and 4 are men. Two are selected at random to meet the governor. What is the probability that both are the same gender?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
there are 15 teachers; 11 are women and 4 are men. Two are selected at random to meet the governor. What is the probability that both are the same gender?
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# of ways to succeed: 11C2 + 4C2 = 55+6 = 61
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# of possible outcomes: 15C2 = 105
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P(2 men or 2 women) = 61/105
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Cheers,
Stan H.