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Paint it black (Posted on 2007-04-02) Difficulty: 3 of 5
Twenty-seven identical white cubes are assembled into a single cube, and the outside of that cube is painted black.

The cube is then disassembled and rebuilt randomly.

What is the probability that the outside of this cube is again completely black?

See The Solution Submitted by Federico Kereki    
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re(4): solution | Comment 8 of 9 |
(In reply to re(3): solution by matt)

2 orientations out of 24 work for the face edges = 1/12 
  Posted by matt on 2007-04-05 14:36:37

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