I don't think I have ever seen it but an estimate of hands/hour would be an extreme guess. The fastest i have seen were dealing accumulation rounds in BJ tournaments open to anyone that walked into the casino. But since hands/hour includes shuffling and the countermeasures taken to ensure against ST or edge sorting even when a shuffling machine is used and you can't touch the cards. I typically see 2 minutes of plugging from the bottoms, then the tops and then the unused cards. This is followed by cutting the cards into 4 or more stacks and rotating some stacks before restacking them and placing them in the shuffle machine. Then the new decks comes up and it is presented to a player to cut the cards. The player is indecisive and takes a while to place it. Then the dealer sticks the cut card in 3 or 4 times before being happy with the cutoff. Then you get misdeals (the faster the dealer the more misdeals) which cause player options that take a few minutes just to get the Floor over and another couple minutes to explain and implement the options. Then the red light keeps coming on and they won't deal the cards until they are sure the red light doesn't indicate a card from this shoe's card color is still in the ASM. Often the ASM breaks and they are hand shuffling which adds more time so to get 300 rounds an hour you need a dealer dealing almost twice that speed per shoe. That is just not possible.
The last quick dealer I had was made to slow down by the ploppies. They demanded he slow down so he would deal just as fast and very slowly give them their cards. I got a fast one heads up recently and finished the deep cut 8 deck shoe in around 8 minutes. At 8.1 cards per round and 7.5 decks of 8 played that makes 48 rounds in 8 minutes or 6 rounds per minute or 12 seconds a round for each shoe. Add 3 minutes to get the cards for the next shoe ready to deal and that is 11 minutes per shoe. There were 4 player options in the hour which added 2 more minutes per shoe played. So now we are at 13 minutes per shoe . I will ignore the ploppy jumping in for 3 hands which slowed the game to a crawl. So now we are down to 3.69 rounds/minute or 221 rounds per hour. Of course I was playing 2 hands per round so if you like to make misleading statistics you could call it 442 hands per hour rather than 221 rounds per hour.
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