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      Question

      A box contains 6 red, 5 green, and 4 blue balls. Two

      balls are drawn randomly. What is the probability that they are of different colors?
      A 7/14 Correct Answer Incorrect Answer
      B 9/14 Correct Answer Incorrect Answer
      C 10/14 Correct Answer Incorrect Answer
      D 11/14 Correct Answer Incorrect Answer

      Solution

      Total number of ways to choose 2 balls: 15C2 = 105 Favorable cases: Red-Green: 6 Γ— 5 = 30 Red-Blue: 6 Γ— 4 = 24 Green-Blue: 5 Γ— 4 = 20 Total favorable cases = 30 + 24 + 20 = 74 Probability = 74/105Β  Correct answer: d.

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