Here's the plan: Flip a coin a hundred times, count the number of heads and record the result. Now repeat that experiment ten thousand times, tally all results and produce a histogram.
I have written a program which will run this simulation of a million coin flips in just five seconds. The results vary a bit each time, but what is consistent is the "bell curve" distribution of the results. This distribution is known more academically as the "normal distribution."
Click below for the results of four separate runs of the simulation.