Originally Posted by
Gronbog
There exists a similar situation for 17 vs A in 6D S17 LS blackjack using Hi-Lo where surrendering is correct across a range of true counts and the index for standing vs hitting falls within that range. I'm sure that Don and I are not the only ones to know this, but FWIW, detailed information will be released as part of our upcoming book on index play.
Yes, that's correct! According to my CA, 4.5/6 pen I got the following:
Code:
+------------+-----------------------+-----------------------+-----------------------+-----------------------+-----------------------+---+---+---+
| TC | Probability | Standing | Hitting | Doubling | Insurance | 1 | 2 | I |
+------------+-----------------------+-----------------------+-----------------------+-----------------------+-----------------------+---+---+---+
| 6 | 0.00780229775119936 | -0.44324496600361474 | -0.60667653225992479 | -1.21335306451984959 | 0.07267761393993744 | | S | I |
| 5 | 0.01062479094491303 | -0.44812967552901944 | -0.60013564249724149 | -1.20027128499448299 | 0.05162259583762941 | | S | I |
| 4 | 0.02352372474584670 | -0.45337819034851601 | -0.59291248605989666 | -1.18582497211979332 | 0.02836567679086452 | | S | I |
| 3 | 0.03324884909174893 | -0.45855483566400823 | -0.58588577792804275 | -1.17177155585608550 | 0.00630936502963211 | | S | I |
| 2 | 0.07049369173944747 | -0.46386539184885150 | -0.57852986491087433 | -1.15705972982174865 | -0.01669573180894030 | | S | |
| 1 | 0.10617007858083666 | -0.46916944668791416 | -0.57117221580351807 | -1.14234443160703614 | -0.03912267126929034 | | S | |
| 0 | 0.22514296072755205 | -0.47449833083602072 | -0.56365650447955562 | -1.12731300895911124 | -0.06189470271166969 | | S | |
| -1 | 0.22293038916024879 | -0.47939266993086088 | -0.55705987357837849 | -1.11411974715675699 | -0.08260311602375962 | | S | |
| -2 | 0.13759626345022322 | -0.48491786195702674 | -0.55019530948334083 | -1.10039061896668167 | -0.10620545853104899 | | S | |
| -3 | 0.06357766031755364 | -0.49062899866763587 | -0.54297203570101538 | -1.08594407140203075 | -0.13032880551124487 | | S | |
| -4 | 0.04297091153120088 | -0.49591616050386922 | -0.53614089215577110 | -1.07228178431154220 | -0.15295433796393768 | | S | |
| -5 | 0.01945282425639147 | -0.50160076459982961 | -0.52876809178539863 | -1.05753618357079726 | -0.17670866656315418 | R | S | |
| -6 | 0.01392365468072426 | -0.50654943660725005 | -0.52219222065693760 | -1.04438444131387520 | -0.19778721782198558 | R | S | |
| -7 | 0.00592658233823324 | -0.51223376871642601 | -0.51468269322669535 | -1.02936538645339071 | -0.22124379925506166 | R | S | |
| -8 | 0.00442728480850521 | -0.51670349850965880 | -0.50858091504010561 | -1.01716183008021122 | -0.24023529720226194 | R | H | |
| -9 | 0.00171772002778351 | -0.52240014793961786 | -0.50094853768697178 | -1.00189707537394357 | -0.26347516068001614 | R | H | |
| -10 | 0.00134812839076431 | -0.52635244838222217 | -0.49538040052111026 | -0.99076080104222053 | -0.28028551280818065 | | H | |
| -11 | 0.00046383214012266 | -0.53204273788879020 | -0.48766394847350736 | -0.97532789694701472 | -0.30331489957270180 | | H | |
EDIT: So, we surrender when TC falls within [-9, -5] and we stand if TC >= -7 (if LSR is not allowed) or we stand if TC >= -4 (if LSR is allowed).
Sincerely,
Cac
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