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    Question

    In a container holding 18 balls of three shades –

    orange, purple, and white – the probability of picking an orange ball is 1/3. If the count of white balls is twice the number of purple balls, determine the probability of selecting a purple ball.
    A 2/9 Correct Answer Incorrect Answer
    B 1/9 Correct Answer Incorrect Answer
    C 4/5 Correct Answer Incorrect Answer
    D 3/7 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of orange balls be x. So, x/18 = 1/3 x = 6 Let the number of purple balls be y. Then, white balls = 2y Now, y + 2y = 18 – 6 3y = 12 y = 4 Required probability = 4/18 = 2/9

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