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2004 AMC 10B Problem 23

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2004 AMC 10B Problem 23AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 4 of 5 · about 6 min · position P21-25

Each face of a cube is painted either red or blue, each with probability 1/2. The color of each face is determined independently. What is the probability that the painted cube can be placed on a horizontal surface so that the four vertical faces are all the same color?

  1. A)

    14\frac{1}{4}

  2. B)

    516\frac{5}{16}

  3. C)

    38\frac{3}{8}

  4. D)

    716\frac{7}{16}

  5. E)

    12\frac{1}{2}

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