SOLUTION: 5 apples, 7 oranges, and 4 peaches are mixed into a fruit bin. If 4 pieces of fruit are picked out at random, what is the probability of picking 2 oranges and 2 peaches?

Question 750256: 5 apples, 7 oranges, and 4 peaches are mixed into a fruit bin. If 4 pieces of fruit are picked out at random, what is the probability of picking 2 oranges and 2 peaches?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
5 apples, 7 oranges, and 4 peaches are mixed into a fruit bin. If 4 pieces of fruit are picked out at random, what is the probability of picking 2 oranges and 2 peaches?
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# of groups of 2 oranges and 2 peaches: 7C2*4C2 = 21*6 = 126
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# of random groups of 4 fruit: 16C4 = 1820
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P(2 oranges and 2 peaches) = 126/1820 = 0.0692
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Cheers,
Stan H.
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