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2009 AMC 10A Problem 22

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2009 AMC 10A Problem 22AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 4 of 5 · about 4 min · position P21-25

Two cubical dice each have removable numbers 11 through 66 . The twelve numbers on the two dice are removed, put into a bag, then drawn one at a time and randomly reattached to the faces of the cubes, one number to each face. The dice are then rolled and the numbers on the two top faces are added. What is the probability that the sum is 77 ?

  1. A)

    19\frac{1}{9}

  2. B)

    18\frac{1}{8}

  3. C)

    16\frac{1}{6}

  4. D)

    211\frac{2}{11}

  5. E)

    15\frac{1}{5}

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