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    Question

    A bag contains ‘x’ blue balls and 5 yellow balls. If

    the probability of getting a blue ball is 2/3, then find the probability of getting different coloured balls when two balls are drawn randomly from the bag.
    A 1/3 Correct Answer Incorrect Answer
    B 10/21 Correct Answer Incorrect Answer
    C 6/13 Correct Answer Incorrect Answer
    D 2/5 Correct Answer Incorrect Answer
    E 11/20 Correct Answer Incorrect Answer

    Solution

    x/(x + 5) = 2/3
    → 3x = 2x + 10 → x = 10
    Total balls = 15
    P = (10C1 × 5C1)/(15C2) = (10×5)/105 = 50/105 = 10/21

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