Originally Posted by MSPChris

ignoring the 0, the odds of 24 blacks in a row are 16,777,216:1 against.

Add the 0 and the odds become even more severe.

If I saw 24 blacks in a row, I'd call the gaming commission because the wheel is rigged.

Originally Posted by Conradas

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

Originally Posted by Pokerlogist

Maybe there are some other games where the Martingale works in a finite number of trials. Just for fun here's a simple game of chance: The house shows the player 2 red cards and 1 blue card and shuffles them and deals them face down and reveals each, one a time, until all three are shown. No cards are replaced. The house allows the player to bet any amount on the showing of a blue card on each of the three streets. To participate, the player must bet some amount on the first card being blue but can pass or bet on all other streets.

Compare the EV of betting one constant unit on each of the three streets to the EV of a Martingale system ( doubles up bet size after a loss but pass when your bankroll gets ahead).

Originally Posted by Pokerlogist

Maybe there are some other games where the Martingale works in a finite number of trials. Just for fun here's a simple game of chance: The house shows the player 2 red cards and 1 blue card and shuffles them and deals them face down and reveals each, one a time, until all three are shown. No cards are replaced. The house allows the player to bet any amount on the showing of a blue card on each of the three streets. To participate, the player must bet some amount on the first card being blue but can pass or bet on all other streets.

Compare the EV of betting one constant unit on each of the three streets to the EV of a Martingale system ( doubles up bet size after a loss but pass when your bankroll gets ahead).