SOLUTION: A box contains 4 ​red, 3 white and 4 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same&#

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Question 1116050: A box contains 4 ​red, 3 white and 4 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same​ color?
Found 2 solutions by stanbon, greenestamps:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A box contains 4 ​red, 3 white and 4 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same​ color?
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# of same-colored balls:: 4C2+3C2+4C2 = 6+3+6 = 15
# of random pairs:: 11C2 = 55
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P(both same color) = 15/55 = 3/11
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Cheers,
Stan H.
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Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Both red: %284%2F11%29%2A%283%2F10%29+=+12%2F110
Both white: %283%2F11%29%2A%282%2F10%29+=+6%2F110
Both green: %284%2F11%29%2A%283%2F10%29+=+12%2F110

Both the same color: 12%2F110%2B6%2F110%2B12%2F110+=+30%2F110+=+3%2F11