Charles Soha ‘05 shows that math is money. He also notes that:

At the casinos in Sydney and Melbourne at least, I couldn’t find any tables that had low minimum bet and high max bet. They cap it off such that the player can’t reap the benefits of the law of large numbers so that the casino is ultimately at a long-run advantage. If someone who has travelled extensively knows where theres a 5 or 10 min bet with a 10,000 or higher max bet, let me know, I want to go there soon, I could use a new car.

I am no math major, but I can’t see how the law of large numbers applies here. Almost all casino games are, obviously, tilted to favor the house. The more that you play, the more likely you are to end up a loser. Bet size, or range of bet sizes, has nothing to do with it.

The only possible exception would be blackjack where minimal card counting skills will give you an edge that can be exploited by varying your bet size. But 1) Casinos know this and look out for customers who vary their bet sizes in this way and 2) You don’t need an excessively wide range of bet sizes for this to work.

But perhaps I am missing the point here . . .