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      Question

      A bag contains 4 white balls, 9 red balls, and 5 green

      balls. Two balls are drawn at random. Find the probability that the two balls are red.
      A 11/51 Correct Answer Incorrect Answer
      B 17/153 Correct Answer Incorrect Answer
      C 4/17 Correct Answer Incorrect Answer
      D 9/34 Correct Answer Incorrect Answer

      Solution

      Number of ways of selecting two red balls = 9 Cβ‚‚
      Total number of balls = 4 + 9 + 5 = 18
      Number of ways of selecting two balls = 18 Cβ‚‚
      Probability = 9 Cβ‚‚ Γ· 18 Cβ‚‚ = (9 Γ— 8) Γ· (18 Γ— 17) = 72 Γ· 306 = 4/17

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