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2013 AMC 10B Problem 12

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2013 AMC 10B Problem 12AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 2 of 5 · about 2 min · position P11-15

Let SS be the set of sides and diagonals of a regular pentagon. A pair of elements of SS are selected at random without replacement. What is the probability that the two chosen segments have the same length?

  1. A)

    25\frac{2}5

  2. B)

    49\frac{4}9

  3. C)

    12\frac{1}2

  4. D)

    59\frac{5}9

  5. E)

    45\frac{4}5

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