How to beat Vegas

I have a childhood friend of mine who is in the casino security game in Vegas. I tend to head to Vegas in order to escape the rigors of life in LA. During one of these self imposed exiles we went to get wrecked at a locals bar, where my buddy is tight with the bartender. The topic of conversation quickly turned to a sure fire method to beat a casino without cheating. After all, the odds are on the side of the casino except for poker games (video poker not withstanding). It was proposed to me that at a game like roulette, if each bet was doubled in size (ie $100 to $200, $200 to $400 etc) and IF an unlimited betting limit was in place that a player could theoretically end up a winner. Here is how. By increasing the bet each time, at some point the "win" covers all previous losses, and actually creates a winner. I have yet to find a flaw in this theory. Oh yeah, knowing a bartender in a locals establishment got two of us wrecked for $35. Winner!