The greatest roulette players of all time – at least the most famous of them – are in this chapter. How much did they win and where and when did they play? You’ll meet the first two wheel trackers too. These would be Joseph Jagger who might be the first “biased wheel” watcher and W.N. Darnborough who had a huge string of successes before he retired.
Roulette was probably the first true casino game and was likely introduced in the middle ages. Noblemen attempted to beat roulette with various roulette systems of play. If we had a time machine we could go back and tell them that the systems they invented and used, while fun, just couldn’t give them a true mathematical edge over the casino. Luckily the peasants didn’t play in casinos because, well, after all they were peasants.
One last example: You're betting on #27 every time, because that's one of your lucky numbers. We expect it to come up once every 38 spins on average. Luckily for you, it comes up on the 15th spin, making you a tidy profit. Should you now start making other bets instead, on the assumption that #27 won't hit again soon because it just hit this time? No. You can certainly switch to another number if you want, but that won't improve or worsen your chances. The chances of #27 coming up on a given spin are the same, whether it just come up on the last spin or not: 1 in 38. I've seen roulette numbers repeat plenty of times.
Even if there isn't a betting limit, and if you have an infinite credit limit, it still doesn't really work, it just doesn't really fail either. If the martingale strategy is continued indefinitely and without regard to betting limits, your bankroll will hit arbitrarily high positive and negative values. The expected value is still negative, but the variation is so high that it your bankroll won't stay either negative or positive.