tensplitter
Well-Known Member
What would the advantage be if there's a 6 deck shoe with no 5-value cards in it?
A shoe with no fives
- Thread starter tensplitter
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zengrifter
Banned
About 5%, I reckon. Am I high? zg
Wouldn't surprise me at all if you were! :grin:
Seriously, removing all the fives, and not replacing them with anything, I get just over 2%.
Jack_Black
Well-Known Member
a game that is opposite of spanish 21? sounds like a game those dirty socialist democrats would come up with. Using my tax dollars!!
aslan
Well-Known Member
In my simplistic way, I get 2% simply by ratcheting a single deck count up by four small cards. But it may have farther reaching consequences than just augmenting the count. In computer analysis of bj, aren't the fives key to understanding player advantage?
aslan
Well-Known Member
Every 5 that's come out of the deck adds 0.67% to the player's expected return. (In a single deck game, anyway.) That means that, all other things being equal, having one 5 gone from the deck gives a player a small advantage over the house. http://www.presidentialsuitecasino....are-the-Most-Important-Cards-in-the-Deck.html
(Just a quick and dirty search. I don't vouch for the reliability of this site or the statement above. Aslan)
4 X 0.67 = 2.68%
(Just a quick and dirty search. I don't vouch for the reliability of this site or the statement above. Aslan)
4 X 0.67 = 2.68%
N&B
Well-Known Member
Waaaayy back in the 60's, (read by me in 1981 after his death in 1979) Lawrence Revere did a study of one deck without 5's and without Aces. In a rule-set with a 0.02% House Advantage, Revere reported then a gain of 3.02% by removing all four 5's.
If those figures are even close in today's games, then removing 24 Fives from a 6-Deck shoe with a rule-set that provides a 0.52% House advantage would yield a 2.5% Player Advantage.
Note that each Five in a single-deck game are worth more *each*. And that to have an advantage in the 0.52% House Advantage game, there would need to be a shortage of 5 Fives (+0.10%) considering the 6 decks. With better game-rules, fewer than 5.
The bigger caveat is that there is not also a shortage of Aces (considering the original study). But consider that if a 5 gets burned in the 6-decker, that the H.A. drops from 1/2% to 3/8%. And in my local game with a 0.33% H.A. the game improves to about 0.21% H.A.
If those figures are even close in today's games, then removing 24 Fives from a 6-Deck shoe with a rule-set that provides a 0.52% House advantage would yield a 2.5% Player Advantage.
Note that each Five in a single-deck game are worth more *each*. And that to have an advantage in the 0.52% House Advantage game, there would need to be a shortage of 5 Fives (+0.10%) considering the 6 decks. With better game-rules, fewer than 5.
The bigger caveat is that there is not also a shortage of Aces (considering the original study). But consider that if a 5 gets burned in the 6-decker, that the H.A. drops from 1/2% to 3/8%. And in my local game with a 0.33% H.A. the game improves to about 0.21% H.A.