[SirWinsALot]

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I'm sitting at $1/$2 NL and a player 3 seats to my right goes all in for $17. I call and we show our hands. The dealer then burns one card, deals 3 more cards face down like they normally would, then burns another card and flips one face up, burns another and flips another, and does it again. Now the whole table is yelling "no no no!" and he freezes. The Floor is called and says that the hand is dead and we should split the pot.

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If you described the above accurately, then the ruling is incorrect. Everyone should be able to tell what the proper 5-card board is. The 6th card placed on the board doesn't play, and the winner is determined from the two live hands and the 5-card board.

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3 hours later, two people are in a hand pre-flop and they get 4 cards to the flop. The floor is called again and this time he says to reshuffle the cards and redeal the flop. Is that even close to right? This was my first time in a casino and I was just a little peeved. I had AA vs. KQ off, btw.

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This is correct. The burn card is left in place, and the remaining deck stub plus the 4 cards placed face up are shuffled. The deck is cut, but since a burn card was already placed down, another one is not put down prior to placing out the 3 card flop.