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      Question

      A box holds 8 green balls, 7 blue balls, and 5 yellow

      balls. Three balls are picked randomly. What is the probability that at least two balls are blue?
      A 13/33 Correct Answer Incorrect Answer
      B 29/57 Correct Answer Incorrect Answer
      C 29/17 Correct Answer Incorrect Answer
      D 17/33 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Required probability = (Two blue balls and one either green or yellow) + (Three blue balls) = 3 Γ— [(7/20) Γ— (6/19) Γ— (13/18)] + (7/20) Γ— (6/19) Γ— (5/18) = (3276/6840) + (210/6840) = (3486/6840) = 29/57

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