The Thomas Donald betting system is quite widespread among gamblers. It is also based on the principle of increasing a bet by one unit after a lost spin and decreasing it after a win. The author of the system puts forward the following requirements.
If zero comes up, you should increase your bet by one unit, since even money bets always lose when zero appears.
Thomas Donald also insisted that it was prohibited to wager other people's money or borrow it. However this point is irrelevant to the system and is not related to the mathematical calculations. It rather emphasizes the psychological and moral aspects that are important for the successful gameplay.
Donald-Nathanson Betting System
The Thomas Donald betting system was studied by the famous mathematician Lev Nathanson. As a result of his own calculations and observations, he offered its modifications. In particular, he was not satisfied with the paragraphs of the system that determined the gameplay while winning the first bet. In other words, if you bet one dollar and win, it is necessary to leave your bet unchanged in accordance with the Donald system.
Nathanson came to the conclusion that it was necessary to miss one spin. If the same color comes up again (for example, red), you need to treat it as -1. Then you should bet on black. If red appears again, the score is -2, and you should bet two dollars on black.
As for zero, Nathanson offered to increase a positive bet as soon as it comes up and decrease a negative bet.
As for the other rules for the Thomas Donald system, Lev Nathanson agrees with them.
Numerous estimates of its effectiveness showed positive but quite insignificant results. Therefore, it is difficult to say whether it is worth spending so much time in order to win several initial bets or not. The difference between a minimum and maximum is usually insignificant at the high-limit tables, which does not allow using this system.
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