Question

    "A box contains 54 rubber bands

    in three colors: Red, Green, and Yellow. The probability of picking a green rubber band is (1/3), and the number of yellow rubber bands is twice the number of red rubber bands. What is the probability of picking a yellow rubber band from the box?"
    A 5/4 Correct Answer Incorrect Answer
    B 4/9 Correct Answer Incorrect Answer
    C 2/3 Correct Answer Incorrect Answer
    D 1/3 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Number of green bands in the box = 54 × (1/3) = 18 Remaining bands = 54 – 18 = 36 Let, number of yellow bands and red bands be 2b and b, respectively, Therefore, 2b + b = 36 3b = 36 b = 36/3 = 12 So, number of yellow bands = 2 × 12 = 24 Therefore, required probability = (24/54) = 4/9

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