The application of the theory of probability to any circumstance such as picking a lottery ticket or playing a game of chance is actually quite a simple process. The reason is that usually a finite sample space can be attached to any such game.
The finite sample space and indeed the randomness of any event which happens in that game (e.g drawing a card, spinning a wheel etc) allows us to put together a simple probability model. This model in turn allows us to find the real numerical probabilities of any event which is associated with that particular game.
We will see that using the classical definition of probability that we can reduce even the most complex event into its simpler elementary events.
One of the games we will use the most in this site is the popular game of chance – roulette. The main reason is that it is probably the easiest game with respect to probability calculations. The main advantage it has is that all the elementary events are all pretty one-dimensional – these are the numbers on the roulette wheel.
The only other game that is comparatively as simple is dice, but these usually have many more combinations than a single spin of the wheel. We will though occasionally wander into the world of other games. Such as Bridge (my favorite card game), poker and blackjack. The probabilities do become a little harder to calculate but we will try and use simple examples.
We hope this site will develop to become a useful resource for people learning about mathematics particularly applying probability theory to things that happen in real life!