This is all based on the principal of knowing you have a higher source roll then the house.

I dont see any other way you`ll out win them. But, then fallacy means you know the outcome so quit way ahead of that time since you know its not worth it.

The "Gambler's Fallacy" is that people think that a coin has a better than 50/50 chance of landing on heads because the last flip landed on tails. This is a fallacy because every flip (of a fair coin) has a 50% chance of landing on heads. The last flip has no bearing on the next one.