i have a similar question too. one of the online bj i play here in asia, they allow you to hit or double down after split aces but not re-split them. should i double down when the dealer has 4, 5, 6?
When resplitting is not allowed, Double A-A vs 6 (if allowed) if:
(s17) number of decks <= 12
(h17) always
otherwise hit
When resplitting is not allowed, Double A-A vs 5 (if allowed) if:
(s17) decks <= 2
(h17) decks <= 2
otherwise hit
hit A-A vs 4 if resplit is not allowed, do not double
k_c
Sorry Don, why do you say that the answer does not correspond to the question?
If you are not allowed to re-split aces but you are allowed to hit or double down after splitting the first pair of aces dealt, I think K_C's answer is correct.
In that case we are facing a true soft-12.
Sincerely,
Cac
You don't state the rules, but for using 6D S17 I get the following indices to double A,A when you can't split:
A,A vs 3: +9
A,A vs 4: +4
A,A vs 5: +1
A,A vs 6: 0
For 6D H17, I get
A,A vs 3: +8
A,A vs 4: +4
A,A vs 5: +1
A,A vs 6: 0
These data were extracted from the sims I ran to generate indices for the upcoming book from Don and I. Too be fair, though, these specific plays are not discussed.
Semper ubi sub ubi
I should add the the above is for games where you can hit after splitting aces, as hwjman stated. It is not the same as the UP Michigan games MWP described, where your only choices are to double or stand. You can find the correct strategy for those games at
https://wizardofodds.com/games/black...plitting-aces/
Note that for most hands which you would normally hit, the correct strategy is to double for as little as possible.
Last edited by Gronbog; 09-22-2022 at 09:51 AM.
Semper ubi sub ubi
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Apparently this thread is talking about two different sets of rules, one of which is clear and the other is not.
1) The OP states that the rules are as follows: 6D,S17,DOA,DAS,SPA1,NS and the decks are shuffled after each hand.
As can be deduced from the photo of the basic strategy, it is possible to DD with soft-12, that is, after splitting a pair of aces and receiving
another ace in one of the hands (or in both).
Under this scenario it is only possible to count cards if there are multiple players at the table. Obviously the bets will be flat.
If the player is not counting cards the basic strategy is the one mentioned by k_c.
Therefore, the basic strategy would be:
6D, S17 (or H17)
AAv6 ==> DD
AAv5 ==> H
AAv4 ==> H
(Even removing three or four aces is still the same)
The expected values can be verified in BJA3.
2) The second set of rules has not been specified. If we assume that there is no shuffling after each hand, counting cards would make more sense in this case.
Gronbog assumes 6D (S17 or H17) and Hi-Lo as the counting system.
The indices are fine, but there is a little detail that was overlooked in their generation. For example:
AAv6 assumes that two aces and a six were removed from the pack and this implies that when you receive that hand you are NOT able to split the pair of aces.
What would have to be done is to remove three aces and a six to make the calculation since the soft-12 appears after splitting the first pair.
What is the difference? Let's see:
a) S17
AAv6 ==> DD if TC >= 0 (two aces and a six removed)
AAv6 ==> DD if TC >= -1 (three aces and a six removed)
b) H17
AAv6 ==> DD if TC >= -1 (two aces and a six removed)
AAv6 ==> DD if TC >= -2 (three aces and a six removed)
Sincerely,
Cac
When resplitting is not allowed, Double A-A vs 6 (if allowed) if:
(s17) number of decks <= 12
(h17) always
otherwise hit
Correct. By example for 6 decks, I got:
s (17)
A, A vs 6
db = 0.190709
hit = 0.187974
h (17)
db = = 0.206312
hit = 0.189536
Here the dealer is somehow penalized for the “greed” of hitting soft seventeen, with the player increasing the expectations of both actions.
When resplitting is not allowed, Double A-A vs 5 (if allowed) if:
(s17) decks <= 2
(h17) decks <= 2
otherwise hit
Agree. Very close but correct.
For 2 decks and s (17):
db =0.170637
hit = 0,169241
hit A-A vs 4 if resplit is not allowed, do not double
Again, for 6 decks and s (17):
db = 0.071156
hit = 0.129004
Here doubling looks but foolish (with BS only).
My two cents.
Zenfighter
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