mpower's Blog
European BJ: What Delta Am I Missing ?
I am a blackjack player from Switzerland and like to analyse on that subject.Now, Wizard of Odds says, the house edge for European Blackjack under his rules is 0.62%.
By entering the closest options in Wizard’s Blackjack House Edge Calculator I find the three results:
Optimal result = 0.54706%
Basic strategy with cut card = 0.57016%
Basic strategy with continuous shuffler = 0.55016%
(6Decks, S17, DAS, D9-11, P3X, RSA, No hit on split aces, No loss on only original bets against dealer BJ, No LS, BJ pays 3:2)
Where does the difference come from ?
mpower
Comments
" No loss on only original bets against dealer BJ"
I think this rule means that this is not European Blackjack. European BJ means "no peek" and subsequently lose any Doubles or Splits to a BJ.
Well, gordonm888, if I enter ‘Yes’ to the option ‘Player loses only original bet against dealer BJ’ then the result of Wizard’s BJ House Calculator is:
Optimal result = 0.43068%
Basic strategy with cut card = 0.45378%
Basic strategy with continuous shuffler = 0.43378%
This is even farer away from 0.62%.
Because this is not European Blackjack, you should not start with the European BJ EV of 0.62%
Instead go here 6 decks, S17 which shows an EV of -0.004026 for DAS, DA2. You are using "D9-11" so your EV is not as good as DA2.
The point is, I would like to know how Wizard of Odds came to the result of 0.62% as house edge for European No Hole Card BJ.
I thought to get this number by applying his BJ House Calculator.
https://wizardofodds.com/games/blackjack/strategy/european
mpower
You have European BJ, (6Decks, S17, DAS, D9-11, P3X, RSA, No hit on split aces, No loss on only original bets against dealer BJ, No LS, BJ pays 3:2)
EV= - 0.62%
Then from here rules variations
Dealer peeks = +0.11%
Dealer resplits aces = +0.08%
which means that your game should be about -0.62% + 0.11% + 0.08% = -0.43% approximately
which I believe approx. agrees with what the calculator says.
Thanks, gordonm888. I think I got it.
The option ‘No loss on only original bets against dealer BJ’ in Wizard’s BJ House Calculator means ‘No peak’. And furthermore the relevant delta seems to be the option ‘Resplit aces’.