Probablity in a cube
Source:
September 15, 2010
probability3D geometrycombinatoricscombinatorial geometrycountingIMO Shortlist
Problem Statement
A cube is assembled with white cubes. The larger cube is then painted black on the outside and disassembled. A blind man reassembles it. What is the probability that the cube is now completely black on the outside? Give an approximation of the size of your answer.