The Time Game

This is not only a game about the direction of time, but about the approach to an equilibrium condition. The condition: the equal distribution of fleas on two dogs. Suppose a dog called Trouble has 300 fleas and Trouble's dog friend has none. Label each flea with a number between 1 and 300. Using a random number generator (numbers from 1 to 300 drawn at random from a hat) draw a number. That flea jumps to the other dog (or dog's friend). Keep track of the number of fleas on each beast and make a running graph of the difference as a function of the unit of time-the number of drawings.

A typical graph: