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      Question

      A bag contains x orange balls, (x + 5) purple balls and

      (x + 7) green balls. If probability of getting a purple ball is 1/15 more than that of getting an orange ball, then find the probability of getting a green ball.
      A 75/12 Correct Answer Incorrect Answer
      B 28/75 Correct Answer Incorrect Answer
      C 81/12 Correct Answer Incorrect Answer
      D 61/12 Correct Answer Incorrect Answer

      Solution

      ATQ,

      (x + 5 тАУ x)/(3x + 12) = 1/15

      Or, 3x + 12 = 75

      Or, x = 21

      So, desired ratio = 28/75

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