# Blind Man with Cubes.

**Discrete Mathematics**Level 4

A large white cube is painted red, and then cut into \(27\) 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 \( 10^{37} \times P \)? (Answer to two decimal places)