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.
While this strategy can lead to short-term gains, it is inherently risky and does not guarantee long-term success. Many casinos and gambling experts caution against using the Martingale system, as it can lead to significant financial losses if a losing streak occurs.
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