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Two Same-Size Cubes Coloring

1800SpecialistCombinatoricsCounting Principles

AMC 12B · 2020 · Problem 20

Two different cubes of the same size are to be painted, with the color of each face being chosen independently and at random to be either black or white. What is the probability that after they are painted, the cubes can be rotated to be identical in appearance?

Answer choices

A
\frac{9}{64}
B
\frac{289}{2048}
C
\frac{73}{512}
D
\frac{147}{1024}
E
\frac{589}{4096}
0 students attempted0% solvedRating 1800

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