Blackjack Investment

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Varied rules on hole card

Frequently, when we go to a site to find a basic strategy, we are required to input what type of blackjack rules applied in the casino we plan to go: dealer peeks or no peek? Actually, we can be very clear if the difference of American style and European style blackjack is given. In European blackjack, the dealer only gets a face-up card and no hole card, while the dealer receives two cards with one face up and one face down in American style. However, whether the dealer takes a hole card or not is irrelevant to the game. It's what they do with your bets that matter. Next four kinds blackjack variations would be presented: BB+1, OBO, ENHC, OBBO.


BB+1 (Busted Bets Plus One): at this situation, the dealer will take all busted bets, plus one more unit from everything else the player may have bet from doubling and/or splitting. That is, In BB+1, you will lose one bet per box to dealer BJ, regardless how many times you doubled or split.

OBO (Dealer takes original bets only): Under this rule, only original bet will be taken, regardless of what the player did. The player may split and/or double under this rule, without fear of losing more than the initial bet. Mathematically speaking, this is equivalent to the American rule where the dealer peeks for blackjack. That generally means that the dealer will deal herself a hole card, and check underneath tens and aces to see if she has blackjack before continuing the hand. That's the typical rule in the US. With the OBO rule, if the dealer has blackjack, you'll only lose one of the three bets. In most casinos in the US, the dealer would have peeked under the ten before you split anyway, so you'd never have even placed the other two bets. But there are a few casinos that use OBO without peeking.

ENHC (European No Hole Card): With this rule, you'd lose all bets if the dealer draws a blackjack, including doubles and splits, if the dealer gets a blackjack. So if you double or split, then the dealer pulls a blackjack and you lose both your original bet and your double or split. In most casinos with the ENHC rule, the casino doesn't draw a hole card at all. Instead, they have only one card until all the players finish their hands.

OBBO (Original and Busted Bets Only): Based on this rule, the dealer will take any busted bets, and one unit from each un-busted hand on the table. In other words, the player is at risk to lose his additional bets from splitting, but not doubling. In this case, if the dealer ends up with blackjack, you'll lose the busted bet on hand (which is removed from the table immediately upon your busting the hand), and also one of the two bets on your doubled hand regardless how many times you have doubled. Obviously, the more you have split, the more hand you have, therefore you will lose more. This rule can be found in Australian blackjack.

Because of the difference we mentioned above, there are of course  some changes in the calculating advantage and customizing strategy as follow: 
Variation effect in house edge (assume that BB+1 has the house edge of 0%):
BB+1           0
OBO         0.03%
OBBO      -0.02%
ENHC      -0.10%

Changes in basic strategy:
                      BB+1       OBO       ENHC       OBBO
8, 8 vs. T        split           split            hit             hit
8, 8 vs. A         hit             split            hit             hit
A, A vs. A      split           split            hit            split
11 vs. T         double       double         hit           double 
11 vs. A         double       double         hit           double

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