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Fred Renzey: Average Number of Cards in Dealer's Completed Hand
I have it locked in my head from something I read somewhere 25 or 30 years ago that the average dealer's completed hand will contain 3.0 cards as opposed to 2.7 for the player. It may have been in a very old blackjack book, or perhaps even one of Julian Braun's published papers.
The reason is that although the player splits roughly 2% of his hands, the dealer hits 100% of her stiffs and never limits herself to just one hit by doubling down.
Rather than undertake what will probably grow into a lengthy computation, can Don, or Norm, or somebody verify or refute this?
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Don Schlesinger: Re: Average Number of Cards in Dealer's Completed Hand
> I have it locked in my head from something I read
> somewhere 25 or 30 years ago that the average dealer's
> completed hand will contain 3.0 cards as opposed to
> 2.7 for the player. It may have been in a very old
> blackjack book, or perhaps even one of Julian Braun's
> published papers.
> The reason is that although the player splits roughly
> 2% of his hands, the dealer hits 100% of her stiffs
> and never limits herself to just one hit by doubling
> down.
> Rather than undertake what will probably grow into a
> lengthy computation, can Don, or Norm, or somebody
> verify or refute this?
No, not true. Average dealer's number of cards to complete the hand is about the same as the player's: 2.7. Globally, it is a little lower, because, when all the players at the table break, the dealer doesn't complete his hand. This has virtually no effect at a full table, but, since a lone player breaks about 16% of the time using BS, then the extra, average, 0.7 cards are NOT drawn roughly one hand out of six, thereby reducing the 0.7 by about 16%, or 0.11.
So, the 2.7 becomes 2.6 under those circumstances.
Regards,
Don
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Fred Renzey: Thank's Don *NM*
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