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      Question

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

      balls. If two balls are drawn at random, what is the probability that one is red and the other is blue?
      A 1/7 Correct Answer Incorrect Answer
      B 8/35 Correct Answer Incorrect Answer
      C 5/21 Correct Answer Incorrect Answer
      D 3/14 Correct Answer Incorrect Answer

      Solution

      Total balls = 6 + 4 + 5 = 15 Total ways to choose 2 balls = 15C2 = 105 Ways to choose 1 red and 1 blue = 6C1 Γ— 4C1 = 6 Γ— 4 = 24 Probability = 24/105 = 8/35 Correct answer: b)

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