Perfect explanation. Thank you. That is what I have been saying all along. Finally, someone understands what I have been saying.
I designed the system for the HL player who refuses to switch to the KO, especially when LS is offered. I still prefer the KO for the shoe game.
I agree with your statement that this HL w 7m9c has not been simulated yet, of course. I do not know how to do sims. But I disagree with the statement that this is complex. You are keeping the HL and just adding a very simple level one plus/minus sided count counting only two ranks, 7s and 9s, whose ranks are not even included in the HL (not a requirement but makes it even easier to keep). And you are using the HL for most playing starting situations so no need to learn new indices. You cannot get simpler that that.
You are keeping only two integers in your head, HL and 7m9c. You use HL most of the time and use 7m9c only when it improves the HL. 7m9c improves the HL for betting so you use brc = HL + (1/2)*(7m9c). If you used 7m9c just for betting and used HL for all playing strategy changes, that alone will increase the SCORE and be justification enough for adding 7m9c to the HL.
But since you have 7m9c anyhow for betting, why not use it for playing strategy changes. I showed the best playing strategy changes to increase the SCORE is late surrender of hard 14 v 9, T, A and hard 13 v T. I listed only six strategy changes in my simplified version of adding 7m9c to HL and five of the six were late surrender. The other was standing on hard 14 v T where k = 3 and CC was increased by an incredible 37% over the HL. So standing on hard 14 v T is very sensitive to 7m9c which is why k = 3. With HL you would almost never stand on multiple card h 14 v T (you surrender two-card hard 14 v T) but using 7m9c you would stand on hard 14 v T much more often and with higher precision.
Here is my simplified 7m9c with HL again:
1. Use brc = HL + (1/2)*(7m9c) for betting.
2. Use these 6 top playing strategy changes using 7m9c. There are more but these are the most important and I will ignore in this simplified version.
Surrender 8,8 v T DAS if HL + 2*(7m9c) >= 2*dr
Surrender hard 14 v 9 if HL + 2*(7m9c) >= 6*dr
Surrender hard 14 v T if HL + 2*(7m9c) >= 3*dr
Surrender hard 14 v A if HL + 2*(7m9c) >= 6*dr
Surrender hard 13 v T if HL + 2*(7m9c) >= 7*dr
Stand on hard 14 v T if HL + 3*(7m9c) >= 9*dr
Note that four of these six strategy changes involve a dealer up card of Ten so they occur four times more frequently than situations where the dealer's up card is a non-Ten.
3. For all other playing strategy decisions, use the HL
There are other changes but these six are the most important.
The value of k for these strategy changes in HL + k*(7m9c) is k = 2. This shows these strategy changes are very sensitive to 7m9c. Furthermore, for these LS strategy changes, the CC over HL increases around 20%. The 7m9c makes a big difference for these changes. With LS expected value is increased and variance is decreases so this will be a big boost to the SCORE.
So have I done simulation? No. I do not know how to do sims. But I can do CC and logic and I can see that adding 7m9c to HL should be a huge improvement to the HL. I was using HO2 w ASC comparison as benchmark to see how much improvement to the HL adding 7m9c was. As I said many times, I think if LS is offered, the result should be close.
I still like KO much better than HL but I realize that many players want to stick with the HL and will not change to KO. So, for those players I wanted to come up with the simplest side count to add to the HL that would give you the most bang for the extra work you need to do. That side count, I believe, is the 7m9c when LS is offered.
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