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if there was no max table limit wouldnt this strategy work?

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Technically the answer is....yes and no. Assuming you had an infinite bankroll, and no table limit, then yes you'd think you have to win eventually. However it's still possible however unlikely that you'll run into an infinite string of losing hands.

The real math guys can probably explain better then I can (I get confused when I deal with infinity). But I think it's enough to know that in real world conditions the system cannot produce a long term profit.

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this is correct