Well, as Malcolm Turnbull has let us know, the laws of Australia supersede the mere laws of mathematics, and lawyers can define things how they like. And you can’t argue with lawyers unless you have a lot of money and don’t mind losing it.
However, there are two interesting points about roulette.
The first is that it is supposed to be a game of pure chance. There is of course a big difference between the results being random and something being a game of chance. In the case of roulette it is the possibility of forecasting the result of a turn while it is still possible to place bets, depending on where in the cycle the croupier says “Rien ne va plus”.
If that point is before the outcome becomes predictable, the house has nothing to worry about. Presumably the house takes good care that this is the case. In the old Swiss system where bets could be placed right to the last moment, it would be different, but such casinos were owned by local communes or a society and members had to come recommended.
The second point is that this is because, even with a degree of interference with the wheel that is on or past the edge of detectable, the house still wins.
In Europe the house has an advantage of 1/37 due to the zero; in the grasping US casinos where there is a double zero the advantage is 2/38, or over 5%. This even applies, of course, to pair/impair and rouge/noir because the zeros are not treated as even or of one colour.
Provided the game is not rigged in the favour of the better by more than 5%, there is no point in having a system because the house always wins in the long term.
My suspicion is that detecting and expelling anyone trying to game the system is security theatre intended to persuade the gamblers that there is a system that will enable them to beat the house, and the house is worried that someone will find it. Because that keeps some people gambling.
The rational approach to roulette is exemplified by a couple I heard of who simply allocate a certain amount per month to visiting a casino and stop when they have either run out of money or doubled it. If the latter, next week they go to the opera. Treat it as a fairly expensive entertainment, fine, try to game the system, risk losing a lot of money.
