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    Question

    If two fair dice are rolled, what is the probability

    that the sum of the numbers that show up is a two-digit number?
    A 2/9 Correct Answer Incorrect Answer
    B 5/6 Correct Answer Incorrect Answer
    C 1/6 Correct Answer Incorrect Answer
    D 8/9 Correct Answer Incorrect Answer

    Solution

    Total possible outcomes when two fair dice are rolled = 6├Ч6=366 \times 6 = 36 6 ├Ч 6 = 36 .

    A two-digit number means the sum must be 10, 11, or 12 .

    Sum = 10
    Possible outcomes: (4,6), (5,5), (6,4) тЖТ 3 outcomes

    Sum = 11
    Possible outcomes: (5,6), (6,5) тЖТ 2 outcomes

    Sum = 12
    Possible outcome: (6,6) тЖТ 1 outcome

    Total favourable outcomes = 3 + 2 + 1 = 6

    Probability = 6/36 = 1/6┬а

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