As we said, this is an interesting question from a statistical point of view. And the answer depends largely on whether you’re dealing with probability or interest.
We will define interest as the “odds” of a single coin being a winner or a loser (because, in the face of a 1 in 11 chance of winning you will be happy to play a single trial game of roulette). So, the odds of winning an entire roulette game, if played at a particular casino (e.g., a Las Vegas casino) is 1/11 – 1 = 0.11. But it also depends on the casino. The odds of winning 1 roulette bet depends on the table layout and the amount you bet, and on the roulette rules (and if you play on a good casino table, it usually depends on the dealer and his or her skill). So the odds of winning a gambling game without a bet on it in a casino with the same size and layout are 1 – 1/11 = 0.02. But with the odds at that casino being much higher than with a roulette table it is not so good.
The question is: does it matter at all that these rules and layout are set up to be profitable for casinos when you play a gambling game in a casino with an expected profit? Do they affect the probability that you’ll win an entire game? If not, then what makes money for the casino in not having to pay a gambling game (other than the cost of playing more than one game per day) and then pay a higher fee to your card room?
For example, a casino that’s going to offer an 8-game roulette table will offer different rules for those two categories of games than the casino which is going to offer only 3-game slots-and you can always play three games a day.
But we’re not talking about that for the reason you already know. Since the casino may well be able to offer better rates because they are in the same league in terms of being a good deal if they are offering all three games a day (or are likely to offer at least two games a day), their margins of loss are not at all the same-the difference in the table layout and rules and how they deal with odds makes a noticeable difference.
Now, it turns out that the probability that the casino will get rid of the odds entirely to offer you a 9-game table is extremely small (unless you are one of those people
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