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      Question

      A container holds 7 orange balls, 5 violet balls and 8 grey

      balls. Two balls are drawn at random. What is the probability that at least one of them is violet?
      A 17/38 Correct Answer Incorrect Answer
      B 15/38 Correct Answer Incorrect Answer
      C 9/19 Correct Answer Incorrect Answer
      D 19/38 Correct Answer Incorrect Answer
      E 8/19 Correct Answer Incorrect Answer

      Solution

      Total balls = 7 + 5 + 8 = 20
      Non-violet balls = 7 + 8 = 15
      Required probability = 1 - (15/20) × (14/19)
      = 1 - (210/380)
      = 1 - (21/38)
      = 17/38

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