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      Question

      There are 72 balls in a box, consisting of Black, White,

      and Purple balls. The chance of choosing a black ball is (1/6), and the number of purple balls is four times the number of white balls. Determine the probability of selecting a purple ball from the box.
      A 1/2 Correct Answer Incorrect Answer
      B 2/3 Correct Answer Incorrect Answer
      C 4/5 Correct Answer Incorrect Answer
      D 2/9 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Number of black balls in the box = 72 × (1/6) = 12 Remaining balls = 72 – 12 = 60 Let, number of purple balls and white balls be 4x and x, respectively, Therefore, 4x + x = 60 5x = 60 x = 60/5 = 12 So, number of purple balls = 4 × 12 = 48 Therefore, required probability = 48/72 = 2/3

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