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2003 AMC 10A Problem 20

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2003 AMC 10A Problem 20AMC 10 Step by Step
Name:                             Date: September 13, 2026
Bases & Digits · difficulty 3 of 5 · about 3 min · position P16-20

A base-10 three digit number nn is selected at random. Which of the following is closest to the probability that the base-9 representation and the base-11 representation of nn are both three-digit numerals?

  1. A)

    0.30.3

  2. B)

    0.40.4

  3. C)

    0.50.5

  4. D)

    0.60.6

  5. E)

    0.70.7

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