Double Down on Soft 12

[21forme]

S17 games are so rare these days (except PA and high limit), H17 should be used as the default standard.

[Gramazeka]

S17 games are so rare these days (except PA and high limit), H17 should be used as the default standard.

All Europe has S 17

[Gramazeka]

S 17

[Gronbog]

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.

No such detail was overlooked in my generation of these indices. The indices were computed using simulation and therefore the data were collected across a wide variety of naturally occurring hand compositions, remaining deck compositions and penetrations. No attempt was made to construct representative instances of the possible situations.

[Zenfighter]

No attempt was made to construct representative instances of the possible situations.

Let´s try then, with the aid of exact 6dks EoR´s (checksum = -2.46109 e -13) plus combinatorial analysis, I get the following results:

S (17) doubling A, A vs 6

Removing a, a, 6.

Db if TC > - 0.355349

removing a, a, a, 6

Db if TC > - 0.837136

H (17) doubling A, A vs 6

Removing a, a, 6

Db if TC > -1. 32251

removing a, a, a, 6

Db if TC > -1,73297

That every derived index has a certain element of faith in its generation, no matter if it is with Monte Carlo simulated runs, and/ or with the aid of exact combinatorial, is still a valid assumption, that Griffin foresaw, almost now, 43 years ago. Here the discrepancies between your figures and mine, and specially for the h17 ones, speak for themselves. A matter of faith, then? I will agree for close decisions mainly, but not for this case of doubling with the H17 rule in effect. The full -deck favorability for carry on the action, namely, to double down equals:

m (6) = 0,971026

And thus, your h17 index can´t be equal to zero, no matter how naturally it has occurred in your sims. It must be lower, then. Think about it, Gronbog. An “Old-Timer” advice, btw.

Zenfighter

[Gronbog]

Zen, after reading your post I was dreading the thought of hashing through all the possible reasons why our results might differ. After all, you and your work are respected here by many.

Thankfully that won't be necessary. I also get -1 as the H17 index for doubling A,A vs 6. The 0 that I posted was a sloppy oversight when transcribing my numbers. I copied the S17 numbers first and then edited them for H17. I wanted to edit my original post to reflect this, but the time allowed for editing has expired.

[Cacarulo]

No such detail was overlooked in my generation of these indices. The indices were computed using simulation and therefore the data were collected across a wide variety of naturally occurring hand compositions, remaining deck compositions and penetrations. No attempt was made to construct representative instances of the possible situations.

Ok, I understand what you are doing. Would you mind checking AAv3 again (S17 and H17)? I got +7 for both cases. We also have a discrepancy in AAv6. For S17 I got -1 and for H17 I got -2.
Maybe it has to do with penetration, I don't know. I am using 4.5/6.

Sincerely,
Cac

[Gramazeka]

I have AAvs3 S 17 (+8.3) H17 (+8.1)

[Cacarulo]

I have AAvs3 S 17 (+8.3) H17 (+8.1)

Hi Grama, +8 (S17 or H17) is correct only if splitting in not allowed even once.

Sincerely,
Cac

[Gramazeka]

Yes you are right. My program does not take into account A AA3.
Only AA 3.
I check this.