"I spent a few hours hacking together a little rails app which would play out 100,000 rolls in a few seconds and tell me the chances of everything coming up. " Why did the author write a rails app to run statistical experiments on what are easy to calculate probabilities? It seems that if you want to make a probability based game you ought to have at least a working knowledge of the basics.
People have been making games of chance since long before advanced mathematics. Being a statistician doesn't necessarily mean you can design a great game - the opposite holds as well.