Gronbog:
Thanks for replying, I would like to give my comments why I feel a simulation of KO with TCRC vs HL could be helpful
First I am not sure if TKO was done correctly because you did not do it. Secondly I am not sure if TKO had both KO and HL estimated to the nearest full deck which is what I want to investigate, the increase in true count accuracy for true counts of three or more with KO with TCRC versus HL Finally, TKO still uses some type of true count formula to make decisions, (src/dr) >= (HL index – 4) where src = KO – 4*n, and also uses all HL EV indices and does not account for the few instances where KO EV indices differ from HL EV indices.
I agree that theoretically there is no difference between TKO and KO with TCRC and that there is very little difference in the theoretical power of either KO count system versus HL. I showed that TKO does produce accurate KO true counts the same as KO with TCRC does. I have no problem with the math of TKO true counts.
But I am not interested in the theoretical power of TKO or KO with TCRC compared to the theoretical power of HL as there is only a very slight increase in power of KO over HL and certainly not worth doing sims for that.
Whatever sims were done on TKO were not done by you so I am not sure if they were even done totally correct. Also I am not sure if the TKO sims that were done with both TKO and HL estimated to the nearest full deck as I requested. Finally TKO still uses some sort of true count calculation using (src / dr) >= (HL index – 4) to make playing strategy and betting decisions whereas KO with TCRC does not involve these calculations where errors can occur. KO with TCRC just involved comparing two integers to make decisions so the chance of error is greatly reduced and there is less mental fatigue which also reduces the chance of errors. So I am talking about humans using KO with TCRC compare to HL, not computers which plays perfectly. That is what I want to compare with the sims.
So in my analysis with KO with TCRC I showed that for true counts of three or more that KO with TCRC with decks estimated to the nearest full deck is equivalent to HL with decks estimated to the nearest quarter deck.
So my question is when both KO and HL have decks estimated to the nearest full deck does the increase in KO with TCRC true count accuracy for true counts of three or more translate into an increase in the back counted 1 to 8 or 1 to 12 SCORE?
Now I have given the link to sims done by Colin Jones’ of 4.5 out of 6 decks dealt where he compared HL with decks estimated to the nearest full deck to HL with decks estimated to the nearest quarter deck and he showed that HL with decks estimate to the nearest quarter deck increased EV by 7% over HL with decks estimated to the nearest full deck.
And I have shown that for true counts of three or more, KO with TCRC estimated to the nearest full deck is equivalent to HL estimated to the nearest quarter deck which according to Colin Jones’ sims increases HL estimated to the nearest full deck EV by 7%.
So my conclusion is that if both KO with TCRC and HL had decks estimated to the nearest full deck that that the back counted 1 to 8 and 1 to 12 SCORE of KO with TCRC compared to HL should show some significant increase due to the increased accuracy of KO with TCRC true counts when both KO and HL decks are estimated to the nearest full deck. That is why I would like sims done.
In my specs I said to use EV indices for both HL and KO to be fair but I did mention some KO EV indices that differed from HL EV indices. So for these situations I would like to use KO EV indices instead of HL indices and use HL indices for all other situations.
I would like to add one more KO EV index to the list if you do the sims and that is the KO EV for splitting T,T v 5 and T,T v 6 which is greater than the HL EV indices for these plays by one true count point. So for these plays I would like to use split T,T v 5 if KO >= crc(6) and split T,T v 6 if KO >= crc(5). For HL the plays are split T,T v 5 is HL >= 5*dr and splits T,T v 6 if HL >= 4*dr.
I know your sims used decks estimated to the nearest half deck. But HL is easy to use if decks are estimated to the nearest full deck. Estimating decks to the nearest half deck requires extra mental work and possible errors in the estimation of or in dividing by half decks. Thus I am only interested in comparing both HL and KO with TCRC with decks estimated to the nearest full deck.
So use all HL EV indices as KO EV indices for all playing decisions except for the following where KO EV indices differ from HL EV indices.
i. Stand on hard 14 v T if KO >= crc(7).
ii. Stand on hard 16 v 9 if KO >= crc(6).
iii. Hit all hard 16 v 7 or 8.
iv. Hit all hard 15 v 7, 8, 9.
v. Split T,T v 5 if KO ≥ crc(6).
vi. Split T,T v 6 if KO ≥ crc(5).