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    Question

    A bag contains red, green, and blue balls, with a total

    of 16 balls. The probability of drawing two blue balls in one draw is 3/8. How many blue balls are in the bag?
    A 8 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 14 Correct Answer Incorrect Answer
    D 16 Correct Answer Incorrect Answer

    Solution

    Let number of blue balls in the bag be тАШxтАЩ.According to question;xC2/16C2 = 3/8Or, x(x тАУ 1) = 90Or, x2 тАУ x тАУ 90 = 0Or, x2 тАУ 10x + 9x тАУ 90 = 0Or, x(x тАУ 10) + 9(x тАУ 10) = 0Or, (x тАУ 10)(x + 9) = 0Or, x = 10 or x = -9 (not possible)So, number of blue balls in the bag = 10

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