4*4*4 cube!

Discrete Mathematics Level 5

A large white cube is painted red, and then cut into 64 identical smaller cubes. These smaller cubes are shuffled randomly.

A blind man (who also cannot feel the paint) reassembles the small cubes into a large one. Let \(P\) denote the probability that the outside of this large cube is completely red?

What is the value of \( 10^{85} \times P *1.26 \)? (Answer to two decimal places)

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