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      Question

      A bag contains 5 brown balls, 6 white balls and 9 red

      balls. Three balls are drawn at random. Find the probability that at least two balls are red.
      A (8/19) Correct Answer Incorrect Answer
      B (10/57) Correct Answer Incorrect Answer
      C (5/38) Correct Answer Incorrect Answer
      D (6/57) Correct Answer Incorrect Answer

      Solution

      Total = 5 + 6 + 9 = 20
      Required probability = (Two red and one other) + (Three red)

      = 3 Γ— [(9/20) Γ— (8/19) Γ— (11/18)] + (9/20 Γ— 8/19 Γ— 7/18)
      = (2376/6840) + (504/6840)
      = (2880/6840) = (24/57)

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