Zenfighter: Nice post by bjfagain on Parker's beginners

[Zenfighter]

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.

[Don Schlesinger]

> 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