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2011 AMC 10A Problem 14

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2011 AMC 10A Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 2 of 5 · about 3 min · position P11-15

A pair of standard 6-sided fair dice is rolled once. The sum of the numbers rolled determines the diameter of a circle. What is the probability that the numerical value of the area of the circle is less than the numerical value of the circle's circumference?

  1. A)

    136\frac{1}{36}

  2. B)

    112\frac{1}{12}

  3. C)

    16\frac{1}{6}

  4. D)

    14\frac{1}{4}

  5. E)

    518\frac{5}{18}

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