> This change happens rapidly in Single Deck
> games, as in an ?excited state?, whereas
> these changes do not occur at the same rate
> when you add multiple decks. Multiple decks
> tend to smooth the frequency of advantage
> changes out, bjfagain

> The important thing to realize is how many
> cards must be removed from multiple decks
> before they become as interesting as a
> single deck. P. Griffin

> Removing 5 cards from a SD:

> sqr [(52-47)/(52-1)*47] = 0.0456721

> Solving for the unknown n in 6 decks we
> have:

> 0.0456721 = sqr [312-n)/(312-1)*n] or

> 0.00208594 = (312-n)/(311 * n)

> and so, n yields finally:

> n = 189.24

> That is:

> Seeing 5 cards from a single deck produces
> us the same opportunities as having watched
> 123 cards (312-189 = 123) from a six decks'
> shoe, in agreement with bjfagain's statement
> of the lesser degree of volatility
> associated with the multiple decks.

> All in all, a very didactic post. We all
> have learned something from it, sure.

> Zenfighter

> P.S. You have more and different examples in
> TOB, page 118.

Unfortunately, I just lost my temper with SSR on the Beginner's Page, after his continual, stubborn rantings. Had I read your post here, I would have added your name to the list of experts I quoted in my post.

Do me a favor: Go over to the Beginner's Page, and, under my post, repost what you've written here over there.

Thanks.

Don