/sci/ - Science & Math

First and foremost, you neglected to account for the table limit. Eventually the size of your bet will be restricted because it will require an amount that is larger than the casino is willing to take.

But for the sake of argument, suppose you have a casino that is willing to take any bet, no matter how large.

The bottom like is, you cannot even put a dent expectation, and this includes the Martingale.

On a long enough time line, your earnings will correlate precisely with the odds you were laid. Negative expectation, begets a net loss and positive expectation begets a net gain. Each roll of the dice or spin of the wheel is its own individual occurrence. Dice have no memory. In short, betting systems do not work.

To test it yourself, just make a simple computer program. Give yourself a 1% disadvantage, (which is far better than an American roulette wheel at approximately 5%) by having the program generate a random real number between 1 and 100.

If the number is less than or <= 49.5 you win.

Else, you lose.

If you lose you double the bet. Else, bet one unit.

Run the program and let the results speak for themselves.

Shouldn't take more than a minute or two to write that program.