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    Question

    A box contains 13 black and 13 white balls. The

    probability of drawing two balls of the same color is? ┬а┬а
    A 15/17 Correct Answer Incorrect Answer
    B 15/22 Correct Answer Incorrect Answer
    C 16/29 Correct Answer Incorrect Answer
    D 12/25 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total number of balls = 13 + 13 = 26 Let S be the sample space. Then, n (S) = number of ways of drawing 2 balls out of 26 = 26 C 2 ┬а= = 325 Let E= event of drawing 2 balls of the same color n (E) = 13C 2 + 13C2┬а = ┬а = 78 +78 = 156 ┬аP (E) = ┬а ┬а or (12/25)

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