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      Question

      A jar contains 9 purple balls, 6 brown balls and 5 orange

      balls. Two balls are taken at random. What is the probability that at least one of them is orange?
      A 21/38 Correct Answer Incorrect Answer
      B 15/38 Correct Answer Incorrect Answer
      C 17/38 Correct Answer Incorrect Answer
      D 9/19 Correct Answer Incorrect Answer
      E 19/38 Correct Answer Incorrect Answer

      Solution

      Total balls = 9 + 6 + 5 = 20
      Non-orange balls = 9 + 6 = 15
      Required probability = 1 - (15/20) × (14/19)
      = 1 - (210/380)
      = 1 - (21/38)
      = 17/38

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