Single-Deck
Single-deck and six-deck games do not have the same frequencies of hands. The second chart shows the differences in frequencies between SD and 6D. Wherever you see a bar pointing up, that hand is more common in single-deck. If the bar points down, the hand is more common in shoes. For example, with single-deck you will notice that there are fewer pairs than with six decks. This is simple combinatorial probability. In single-deck, if you have a six there are only three sixes left that you can draw as a pair or 3/51 (5.9% probability). With six decks, there are 23 sixes left or 23/311 (7.4% probability). Blackjacks are more common in single-deck: 4.827% vs. 4.749%. That does not sound like much difference, but considering the importance of Blackjacks, it is a major factor in the advantage difference in number of decks. Unfortunately, single-deck also sees more stiffs (12-16).
www.qfit.com/book/z200Chart.gif
· Six decks, S17, DAS, LS, Heads-Up, Basic Strategy, 75% Penetration
· Single-deck, H17, nDAS, Heads-Up, Basic Strategy, Six Rounds
· Ten billion rounds each
© 2009 Norman Wattenberger
