Many casinos operate in jurisdictions where they are allowed to ban any player for any reason. This privilege is usually invoked to ban card counters and cheaters. Greektown Casino in Michigan took it to a whole new level by banning people for making money and comps at video poker:

The casino removed video poker players in November 2002, because their winnings and mounting incentives made them unprofitable for the casino to host, The Detroit News reported Thursday.

The article claims that the Michigan Gaming Control Board found no evidence that they were doing anything illegal -- these were just players who played a perfect video poker strategy (yes, there is such a thing) on the best payoff machines. On the right payoff schedule, certain video poker machines can reach a positive expectation when the player knows the perfect strategy. Even if they're not quite positive EV, if the casino has a liberal comp policy the player could still end up with a reasonable upside.

This is the first case I've heard of with players getting barred for playing video poker well. It is akin to barring a blackjack player because he's playing basic strategy. Most likely the casino should have changed their payoffs / comps policies rather than banning players and getting bad press. Link to an article on it. Link to an older article about slot players getting barred from Mirage resort properties. This editorial mentions that players were getting barred from Greektown just because they would find the best pay tables at video poker and play them.

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