Question

    A bag contains 32 balls of two different colours violet and

    green in the ratio of 5:3 respectively. Two balls are randomly drawn without replacement from the bag. Find the probability that both the balls are of the same colour.
    A 217/496 Correct Answer Incorrect Answer
    B 29/76 Correct Answer Incorrect Answer
    C 61/152 Correct Answer Incorrect Answer
    D 7/18 Correct Answer Incorrect Answer
    E 311/728 Correct Answer Incorrect Answer

    Solution

    The number of violet colour balls = 32 × (5/8) = 20
    The number of green colour balls = 32 − 20 = 12
    So, the probability that both the balls are violet = {20C2 / 32C2}
    So, the probability that both the balls are green = {12C2 / 32C2}
    So, required probability = {20C2 / 32C2} + {12C2 / 32C2} = (217/496)

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