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      Question

      A bag contains 10 white balls, 5 black balls and 5 red

      balls. Two balls are drawn at random. What is the probability that at least one of them is red?
      A 1/2 Correct Answer Incorrect Answer
      B 17/38 Correct Answer Incorrect Answer
      C 11/19 Correct Answer Incorrect Answer
      D 21/38 Correct Answer Incorrect Answer

      Solution

      Total balls = 10 + 5 + 5 = 20
      Non-red balls = 10 + 5 = 15
      Required probability = 1 - (15/20) ร— (14/19)
      = 1 - (210/380)
      = 1 - (21/38)
      = 17/38

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