Big Casino Wins and Jackpots

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I've never heard of a situation where someone was legally banned from a game but not the property. Is there a regulation/law/statute that I'm not aware of?

They might say you aren't allowed to play a certain game or refuse your action -- but if you're allowed on the property, you can legally play any game.

I have seen properties obliquely shut people down from sports betting but allow them to play other (negative EV) games.

By obliquely, I mean they will place limits on you so low that you can't bet any meaningful amount. They can still claim you are allowed to bet, so technically they have not "banned" you from sports betting, but pragmatically, that's what they've done. For example, 15 years ago the manager of the Stardust publicly restricted my parlay card action on a number of occasions.

I would assume, but please inform me if I'm incorrect, that a casino can similarly decide you qualify only for betting a certain amount on table games.

While legally perhaps you can play any game, the question is are they legally forced to allow you to play the amounts you want to play.

I honestly do not know, and look forward to hearing everyone's comments.