3. Meet Me On The Edge

Did you know that an ant can lift about fifty times its body weight? If you had that power, you'd be able to lift 2 tons! Suppose we position one of those powerful ants on a corner of a sugar cube. On the opposite corner, we position a fly. Suppose the two insects begin walking towards each other. If they can only walk along the edge of the cube (and never go backwards), what is the probability that their paths will cross?