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    • Question

      A bag contains 7 orange balls, 8 red balls and 5 black

      balls. Three balls are drawn at random. Find the probability that at least two balls are red.
      A (49/114) Correct Answer Incorrect Answer
      B (77/285) Correct Answer Incorrect Answer
      C (98/285) Correct Answer Incorrect Answer
      D (23/114) Correct Answer Incorrect Answer
      E (5/57) Correct Answer Incorrect Answer

      Solution

      Total = 7 + 8 + 5 = 20
      Required probability = (Two red and one other) + (Three red)

      = 3 × [(8/20) × (7/19) × (12/18)] + (8/20 × 7/19 × 6/18)
      = (2016/6840) + (336/6840)
      = (2352/6840) = (98/285) = 5/57

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