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      Question

      A bag contains 6 purple balls, 9 yellow balls and 5

      green balls. Three balls are drawn at random. Find the probability that at least two balls are yellow.
      A (8/19) Correct Answer Incorrect Answer
      B (4/19) Correct Answer Incorrect Answer
      C (77/285) Correct Answer Incorrect Answer
      D (5/38) Correct Answer Incorrect Answer
      E (19/95) Correct Answer Incorrect Answer

      Solution

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

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

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