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A box contains 5 red balls, 4 blue balls and 3 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are of different colors?
  1. 47/66
  2. 66/91
  3. 75/91
  4. None of these
Explanation

Total ways = (12 2) = 66; same color ways = 10 + 6 + 3 = 19

Different color ways = 66 - 19 = 47; so probability = 47/66.

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