Quote Originally Posted by Mony B
Why, how, where is the proof that yes you will hit one of thoughs times, odds are all theoretical anyways arent they, so one starts to think, well since i cant predict exactly when my card that i need is going to come, why take your odds as serious as some of us do? Why take them into consideration at all? Its better to have at least an idea of what should come and when but why do we try to keep theoretical records in a chaotic game where there is no garentees?
The 'proof' is called The Law of Large Numbers; sometimes called The Law of Averages. It states:

“If the probability of a given outcome to an event is P and the event is repeated N times, then the larger N becomes, so the likelihood increases that the closer, in proportion, will be the occurrence of the given outcome to N*P.”

To put this in poker terms, this says that if there is a 40% chance to make a certain hand, the more times I try to make it the closer my successes will be to 40%. So, if I try it once I will either be at 100% or 0%, and twice I will be at either 100%, 50%, or 0%. But by the time I try it 100 times it is unlikely that I will be far from 40% AND (this is important) by the time I try it 1000 times I WILL be closer to 40% than I was at 100 tries AND by the time I try it 10,000 times I WILL be closer still.

Armed with this law, the poker player now knows that he should play the hand like he has a 40% chance to make it. Because, over time, he will make the hand 40% of the time.

Technical Note: The I WILL part actually comes from a thing called The Strong Law of Large Numbers, but it is very similar to The Law of Large Numbers.