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    Question

    A basket contains 'q' pink balls and 10 grey balls. If

    the probability of getting a pink ball is 3/5, then find the probability of getting different coloured balls when two balls are drawn randomly from the basket.
    A 2/5 Correct Answer Incorrect Answer
    B 1/2 Correct Answer Incorrect Answer
    C 3/5 Correct Answer Incorrect Answer
    D 7/10 Correct Answer Incorrect Answer
    E 4/5 Correct Answer Incorrect Answer

    Solution

    Total number of balls in the basket = q + 10
    So, q/(q + 10) = 3/5
    Or, 5q = 3(q + 10)
    Or, 5q = 3q + 30
    So, q = 15
    Total balls = 15 + 10 = 25
    Desired Probability = (15C1 × 10C1)/25C2 = (15 × 10)/(25 × 24/2) = 150/300 = 1/2

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