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The casino cuts of rake on every pot they play. So if they have an x ammount of money on the table, assumming they break even on play, the casino is eventually gonna have all of their money.

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Yes, if they keep playing until they have no money..

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So it's guaranteed that if they keep playing and playing they are gonna have nothing left.

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Right.

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The casino is actually risking nothing and it's guaranteed to win everything. Is that correct?

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Everything? No. They will take a rake on every pot over a certain amount, though.

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On the other hand, on roulette the house is also guaranteed to win

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Wrong.

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but they are actually risking money.


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Yes.

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If the players have a good day or hit jackpots or something, the casino has to pay them. But in poker they don't risk anything.


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Yes.