Thus the strategy is an instantiation of the St. Petersburg paradox. Since a gambler will almost surely💶 eventually flip heads, the martingale betting strategy is certain to make money for the gambler provided they have infinite wealth💶 and there is no limit on money earned in a single bet.
This effect scales up to any amount of starting capital: there is💶 a large chance of gaining a little bit of money and a small chance of losing all your money. As💶 a result, many gamblers will turn a small profit playing the martingale system, but the rare gambler will suffer complete💶 losses.


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