If a gambler and the casino keep going forever, how come the casino is always the winner?
In: Mathematics
On top of the odds based stuff others have discussed, there is also the fairly simple fact that they kick you out if you do too well against them.
For example, blackjack is a beatable game in that you can count cards and push your odds against the house into favorable territory, but you can’t do that if they won’t let you play, which is why (good) card counters regularly get banned…
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