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Sniffnoy comments on Open Thread: March 2010 - Less Wrong
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But this isn't a rule of the game - it's an implementation issue. The game is the same so long as cards are randomly selected without replacement from a deck of the appropriate sort.
(The first Google hit for "texas hold'em rules" in fact mentions burning cards.)
That the game has the same structure either way is recognized only at a more abstract mental level than the level that the negative reaction comes from; in most people, I suspect the abstract level isn't 'strong enough' here to override the more concrete/non-inferential/sphexish level.
The ideal decision algorithm used in the game remains the same, but people don't look at it this way. It is a rule, since it is how they have learned the game.