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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 – x)/(3x + 12) = 1/15

    Or, 3x + 12 = 75

    Or, x = 21

    So, desired ratio = 28/75

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