Twenty-seven identical white cubes are assembled into a single cube, the outside of which is painted black. The cube is then disassembled and the smaller cubes thoroughly shuffled in a bag. A blindfolded man (who cannot feel the paint) reassembles the pieces into a cube. What is the probability that the outside of this cube is completely black?

• the probability that the outside of the reassembled cube is completely black = 1/((2^56) * (3^22) * (5^2) * 7 * 11 * 13^2 * 17* 19 * 23)
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• i don't understand ur ans plz explain step by step.
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• no of cubes =27
  no of cubes painted=1
  probability=1/27
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