This problem is to simulate the Monty Hall Problem, which was popularized by Marilyn vos Savant in her Parade column. The problem is stated as:

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

A Sierpinski Gasket (or Triangle) is a type of fractal named after the Polish mathematician Waclaw Sierpinski who described some of its interesting properties in 1916. It is a nice example of how an orderly structure can be created as a result of random, chaotic behavior. In fact, the gasket can only be created by random behavior. http://serendip.brynmawr.edu/playground/sierpinski.html is a good site to learn more about Sierpinski Gaskets.

This is a simplified version of the