Twenty-seven identical white cubes are assembled into a single cube, and the outside of the cube is painted in the following manner.

1. The top face, the bottom face and, one of the remaining faces is painted black.
2. The remaining three faces are painted blue.

The cube is then disassembled and rebuilt randomly.

Determine the probability that the faces earlier painted black once again reappear as black and the faces painted blue are once again blue.