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      Question

      A bag contains 9 white balls, 6 black balls, and 3 green

      balls. Two balls are drawn at random. Find the probability that the two balls are white.
      A 13/51 Correct Answer Incorrect Answer
      B 10/51 Correct Answer Incorrect Answer
      C 5/17 Correct Answer Incorrect Answer
      D 4/17 Correct Answer Incorrect Answer
      E 17/51 Correct Answer Incorrect Answer

      Solution

      Number of ways of selecting two white balls = 9Cā‚‚
      Total number of balls = 9 + 6 + 3 = 18
      Number of ways of selecting two balls = 18 Cā‚‚
      Probability = 9 Cā‚‚ Ć· 18 Cā‚‚ = (9 Ɨ 8) Ć· (18 Ɨ 17) = 72 Ć· 306 = 4/17

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