All six faces of a cube are painted blue. The cube is then cut into 125 smaller cubes, all the same size. One of the small cubes is chosen at random, and rolled. What is the probability that when it lands, the face on the top is blue?
See a slight variation to the question here: https://www.quora.com/A-cube-is-painted-blue-on-all-faces-and-divided-into-125-smaller-cubes-of-equal-size-How-many-cubes-are-not-painted-on-any-face