A Less Obvious Martingale Fallacy

[Komodo]

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The sim is flawed because you can't take accounting at any finite point, as per the OP. Martingaling works because a win is inevitable. In an infinite series, you will see all of the wins, and they will cancel out all of the losses and then some. The "then some" increases one by one into infinity.

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That is exactly here where many peoples thinking is flawed. The win isnt inevitable. In an infinite serie, the probability will be closer and closer to 100%, but never 100. The assumption that every martingaler will be able to complete his serie is matchematically impossible. It will be 99,99999999999999999999999999 etc etc but never 100%.