Would the martingale system work if one had an infinite bankroll and there were no betting limits?

Clear answer: Yes

In French Roulette (with one Zero) you can normally double your bets only 10 times. You lose a hole Martingale on an average in approx. 3.139 Coups. You lose then 2047 chips and the average loss rate =~ 2047/3139 = 0,65 chips per coup. If you want to minimize the risk of such a loss to 25% you should in no case play more than 1069 coups.

But if you kept on playing for example roulette an infinite amount of time, wouldnt you soon or later end up on black (when you have your money on red) every single time and lose an infinte amount of money?
How can you be a favorite against the house if this is the case?

You have the same odds of hitting the same number or color everytime you release the ball. It doesnt matter if red hits 10x in a row, it is just as likely to hit the 11th as it was the 10th.

Yeah, but how is that relevant?

The hole topic is very complex and difficult to explain and/or to understand. The short answer is: You have no long term chance to win with the Martingale. I mentioned the above figures only to give you a certain impression how often this happens on an average or as a warning.

You can try it vice versa and even then you have no chance because it is very difficult to catch a very long series of black/red or whatever. The biggest problem however is always the zero in French Roulette and the double-zero in American Roulette.

I understand of course that I cant use this system, but are you saying it couldnt be beat even in the impossible scenario I mentioned?

You can't lose an infinite amount of money. No matter how many times you double up, you can always keep going higher. That's why it's called "infinite": there's no upper bound. When there is an upper bound to your bet sizes, either the table limit or the size of your bankroll, the Martingale fails. But if there is no upper limit, any chance of winning will let you Martingale successfully. Which is why no casino will ever remove the tables limits and extend you unlimited credit.

I said: The longest series of blacks I have seen and counted live in roulette was 24. I have also seen series like 21 black after 22 times red after a very long series of indermittences. Lets assume even far longer series happen quite often. I think series of 25 or 26 times the same color can happen if you play long enough. The same applies for winning or losing streaks whatever you play. Let us assume in a time period of one Million of years much longer series will happen.

You said, "if one had an infinite bankroll and there were not betting limits" than I assume he is rich enough even to pay the inputs for the Martigingale in case of a losing streak like 50 times the wrong chance. And he should than win after 51 coups. I do not want to calculate how much money this is. I know it is uncountable. Please simulate this problem in your computer with Excel or Basic. It is easy to find out, that you will win always with the Martingale under such assumptions if the coups are true random, if you play whatever you want randomly and if you are rich enough to pay the input.

No one has enough money to double up after 50 losses. If the House of Saud and the U.S. federal government formed a syndicate to grind $1 bets on a European wheel using the Martingale, they would eventually go bust. The bankroll would need to be literally infinite, which concretely means playing on unlimited credit.

Also, on a random wheel the previous spins have no impact on future spins. After 50 results come up the same way I'd be betting with the trend because by then the results are probably nonrandom.

I think we have the same opinion. But a very long losing streak like much more than 30 times the wrong side of a single chance can happen if you place your bets always according to the trend. However you will never experience such a result in your life. You have to be alive an infinitive period of time and play on nearly all tables on this word at the same time to have a chance to see something like that. However, I have experienced this series of 24 times black during my 5th casino visit already and have played according to the trend.

if you have an unlimited bankroll, gambling is meaningless because no matter what you do you start with $infinity and end with $infinity.

god i hate talking about gambling with an infinite roll and i wish people would stop thinking that it's useful, interesting, or even meaningful to discuss such a topic.

Sometimes it is helpful to have such useless discussions. Some people could get a better feeling for reality in gambling.

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