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, quoting Griffin again, entitles us to as much excitement as will glimpsing of 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.

Congratulations.

Zenfighter

P.S. You have more and different examples in TOB, page 118. The above one for n = 47 is a novelty. :-)