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    Question

    A bag contains ‘x’ white balls and 3 black balls. If

    the probability of getting a white ball is 4/5, then find the probability of getting different coloured balls when two balls are drawn randomly from the bag.
    A 7/15 Correct Answer Incorrect Answer
    B 2/9 Correct Answer Incorrect Answer
    C 4/13 Correct Answer Incorrect Answer
    D 12/35 Correct Answer Incorrect Answer
    E 6/17 Correct Answer Incorrect Answer

    Solution

    x/(x + 3) = 4/5
    → 5x = 4x + 12 → x = 12

    Total balls = 15
    P = (12C1 × 3C1)/(15C2) = (12×3)/105 = 36/105 = 12/35

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