Re: A Less Obvious Martingale Fallacy
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Your old bankroll was infinite.
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So why were you playing in the first place?
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What's infinity plus one?
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According to your logic you could never lose anything either. What's infinity minus 1?
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Infinity plus or minus any finite sum is still just infinity. So an infinite bankroll cannot be increased (or decreased) with the martingale system if you are betting finite sums.
If you have a finite bankroll, using the martingale system is demonstrably -EV in any game like roulette where each trial is -EV.
So either way -- finite bankroll or infinite bankroll -- you cannot turn a -EV game into a +EV game by martingaling it.
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