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Six Deck Blackjack Expected Values
The tables on this page give expected values for all blackjack options in a six deck game. The table is divided into sections for each possible dealer up card. Results for Ace and Ten are conditional on the dealer not having blackjack.
Contents
- Full Game Analysis
- Dealer Stands on Soft 17
- Dealer Stands or Hits Soft 17
- Dealer Hits Soft 17
Full Game Analysis
The following two tables provide expected values for full game of six-deck blackjack calculated from the Expected Value Tables listed below (and using accurate, approximate splitting calculations). The two tables are for dealers that stand on or hit soft 17. In each table, the two left columns are games that allow doubling down on any two cards while the right two columns are games that restrict doubling down to hard hands of 10 and 11 only. Within each half, the ND column is when doubling down is not allowed after splitting while the DD column is when doubling down is allowed after splitting.
Dealer stands soft 17
| Options | DD any two hands |
DD 10&11 only |
| ND | DD | ND | DD |
| Base - No Resplit | -0.58857% | -0.46665% | -0.76204% | -0.65604% |
| Resplit, except Aces | -0.55441% | -0.41272% | -0.72788% | -0.60475% |
| Resplit aces too | -0.48567% | -0.34399% | -0.65915% | -0.53602% |
| Prohibit Splitting | -0.98095% |
-1.15454% |
Dealer hits soft 17
| Options | DD any two hands |
DD 10&11 only |
| ND | DD | ND | DD |
| Base - No Resplit | -0.76204% | -0.67866% | -0.98432% | -0.87643% |
| Resplit, except Aces | -0.72788% | -0.62518% | -0.90621% | -0.82568% |
| Resplit aces too | -0.65915% | -0.55713% | -0.88295% | -0.75763% |
| Prohibit Splitting | -1.19036% |
-1.37247% |
Expected Value Tables
These tables can be generated using the Blackjack software with the following commands and then combining the results.
Blackjack -SHDA -d6 -c 18 -o part1.txt
Blackjack -SHDA -d6 -c 18 -h -i1f6 -o part2.txt
Dealer Up Card 1
Dealer stands soft 17
Results conditioned on dealer not having blackjack
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.666458 |
| 2 | -0.666224 | -0.665989 |
| 3 | -0.665986 | -0.665751 | -0.665541 |
| 4 | -0.665699 | -0.665491 | -0.66525 | -0.664959 |
| 5 | -0.665441 | -0.665202 | -0.66496 | -0.664668 | -0.664378 |
| 6 | -0.478806 | -0.662727 | -0.662485 | -0.662192 | -0.661883 | -0.659438 |
| 7 | -0.100278 | -0.663671 | -0.663429 | -0.66312 | -0.662832 | -0.660391 | -0.661344 |
| 8 | 0.279653 | -0.664623 | -0.664365 | -0.664077 | -0.66379 | -0.661352 | -0.662304 | -0.663258 |
| 9 | 0.659607 | -0.665557 | -0.665319 | -0.665032 | -0.664746 | -0.662311 | -0.663256 | -0.473877 | -0.0930708 |
| 10 | 1.5 | -0.668057 | -0.667822 | -0.667536 | -0.667251 | -0.664825 | -0.476308 | -0.0972736 | 0.282488 | 0.654582 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.0222295 |
| 2 | -0.0594503 | -0.254345 |
| 3 | -0.095695 | -0.281089 | -0.309159 |
| 4 | -0.134277 | -0.309156 | -0.315788 | -0.198745 |
| 5 | -0.172254 | -0.313715 | -0.200161 | -0.0663042 | 0.0828748 |
| 6 | -0.182973 | -0.201666 | -0.0679867 | 0.0813357 | 0.147596 | -0.356496 |
| 7 | -0.0953448 | -0.0682055 | 0.0822934 | 0.147352 | -0.354597 | -0.404544 | -0.4487 |
| 8 | -0.0075053 | 0.0822882 | 0.147278 | -0.354495 | -0.402513 | -0.442195 | -0.47609 | -0.513551 |
| 9 | 0.0792473 | 0.147154 | -0.354329 | -0.394604 | -0.44003 | -0.482503 | -0.513641 | -0.555181 | -0.626095 |
| 10 | 0.144526 | -0.35019 | -0.396288 | -0.440744 | -0.48293 | -0.5158 | -0.557049 | -0.627545 | -0.727587 | -0.857109 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.620239 |
| 2 | -0.619514 | -1.33198 |
| 3 | -0.619855 | -1.3315 | -1.30323 |
| 4 | -0.623724 | -1.30314 | -1.1294 | -0.807841 |
| 5 | -0.629262 | -1.12931 | -0.807761 | -0.426459 | -0.00242084 |
| 6 | -0.535963 | -0.808993 | -0.42802 | -0.00417504 | 0.12971 | -0.831043 |
| 7 | -0.362307 | -0.428074 | -0.00559461 | 0.126724 | -0.830443 | -0.889991 | -0.947416 |
| 8 | -0.189277 | -0.00789303 | 0.124094 | -0.831943 | -0.888292 | -0.933454 | -0.974215 | -1.0271 |
| 9 | -0.0184727 | 0.121507 | -0.833886 | -0.873661 | -0.929648 | -0.987018 | -1.02728 | -1.11036 | -1.25219 |
| 10 | 0.114631 | -0.826367 | -0.877145 | -0.93168 | -0.987574 | -1.0316 | -1.1141 | -1.25509 | -1.45517 | -1.71422 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.127144 | 0.127144 | 0.127144 | 0.248356 | 0.248356 | 0.248356 |
| 2,2 | -0.410197 | -0.410197 | -0.410197 | -0.435069 | -0.435069 | -0.435069 |
| 3,3 | -0.459339 | -0.459339 | -0.459339 | -0.48298 | -0.48298 | -0.48298 |
| 4,4 | -0.512547 | -0.512547 | -0.512547 | -0.563153 | -0.563153 | -0.563153 |
| 5,5 | -0.570784 | -0.570784 | -0.570784 | -0.676682 | -0.676682 | -0.676682 |
| 6,6 | -0.613694 | -0.613694 | -0.613694 | -0.654606 | -0.654606 | -0.654606 |
| 7,7 | -0.619154 | -0.619154 | -0.619154 | -0.645266 | -0.645266 | -0.645266 |
| 8,8 | -0.385449 | -0.385449 | -0.385449 | -0.364487 | -0.364487 | -0.364487 |
| 9,9 | -0.121888 | -0.121888 | -0.121888 | -0.126162 | -0.126162 | -0.126162 |
| 10,10 | 0.152621 | 0.152621 | 0.152621 | -0.266197 | -0.266197 | -0.266197 |
Dealer Up Card 2
Dealer stands soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.289869 |
| 2 | -0.291205 | -0.29253 |
| 3 | -0.291152 | -0.292496 | -0.292444 |
| 4 | -0.290873 | -0.29219 | -0.292137 | -0.291829 |
| 5 | -0.28852 | -0.289837 | -0.289784 | -0.289476 | -0.287111 |
| 6 | -0.14961 | -0.290318 | -0.290265 | -0.289937 | -0.287593 | -0.288075 |
| 7 | 0.124 | -0.290813 | -0.29074 | -0.290433 | -0.288089 | -0.288574 | -0.289068 |
| 8 | 0.388607 | -0.291264 | -0.291211 | -0.290905 | -0.288562 | -0.289043 | -0.289566 | -0.290037 |
| 9 | 0.642364 | -0.291933 | -0.291881 | -0.291576 | -0.289232 | -0.28974 | -0.290237 | -0.150409 | 0.124233 |
| 10 | 1.5 | -0.295821 | -0.295768 | -0.295462 | -0.293143 | -0.293626 | -0.153831 | 0.121181 | 0.386175 | 0.637886 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.083842 |
| 2 | 0.0454988 | -0.114739 |
| 3 | 0.0215112 | -0.128579 | -0.142183 |
| 4 | -0.00191047 | -0.142042 | -0.110747 | -0.0198491 |
| 5 | -0.0228277 | -0.107687 | -0.0205468 | 0.0778951 | 0.189215 |
| 6 | 0.000693999 | -0.0202408 | 0.0774998 | 0.188194 | 0.245699 | -0.253322 |
| 7 | 0.0632903 | 0.0761016 | 0.187604 | 0.243852 | -0.253281 | -0.311686 | -0.36925 |
| 8 | 0.123271 | 0.187068 | 0.243014 | -0.254394 | -0.311561 | -0.362334 | -0.412537 | -0.468469 |
| 9 | 0.183626 | 0.242225 | -0.25545 | -0.305357 | -0.361682 | -0.418797 | -0.468667 | -0.535295 | -0.62327 |
| 10 | 0.239716 | -0.251852 | -0.307134 | -0.363144 | -0.419694 | -0.470104 | -0.53651 | -0.624069 | -0.732352 | -0.853873 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.0630383 |
| 2 | -0.0666101 | -0.585059 |
| 3 | -0.067207 | -0.584993 | -0.563296 |
| 4 | -0.0708784 | -0.562842 | -0.433593 | -0.200239 |
| 5 | -0.0734245 | -0.43024 | -0.198013 | 0.0701952 | 0.37318 |
| 6 | -0.00395219 | -0.19776 | 0.0696403 | 0.370899 | 0.486058 | -0.506645 |
| 7 | 0.120982 | 0.070185 | 0.369735 | 0.482105 | -0.506562 | -0.623372 | -0.7385 |
| 8 | 0.240955 | 0.36894 | 0.480443 | -0.508788 | -0.623121 | -0.724667 | -0.825074 | -0.936938 |
| 9 | 0.36194 | 0.478907 | -0.510899 | -0.610713 | -0.723364 | -0.837593 | -0.937333 | -1.07059 | -1.24654 |
| 10 | 0.473073 | -0.503703 | -0.614268 | -0.726288 | -0.839388 | -0.940207 | -1.07302 | -1.24814 | -1.4647 | -1.70775 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.48587 | 0.48587 | 0.48587 | 0.610531 | 0.610531 | 0.610531 |
| 2,2 | -0.148199 | -0.082686 | -0.082686 | -0.153218 | -0.0776039 | -0.0776039 |
| 3,3 | -0.200457 | -0.134801 | -0.134801 | -0.20954 | -0.133232 | -0.133232 |
| 4,4 | -0.229681 | -0.163761 | -0.163761 | -0.263402 | -0.186782 | -0.186782 |
| 5,5 | -0.252291 | -0.187875 | -0.187875 | -0.32309 | -0.278318 | -0.278318 |
| 6,6 | -0.272215 | -0.205644 | -0.205644 | -0.274387 | -0.196973 | -0.196973 |
| 7,7 | -0.209656 | -0.143699 | -0.143699 | -0.196596 | -0.119938 | -0.119938 |
| 8,8 | -0.0344606 | 0.0299685 | 0.0299685 | 0.00683983 | 0.0816751 | 0.0816751 |
| 9,9 | 0.152445 | 0.187731 | 0.187731 | 0.156821 | 0.197762 | 0.197762 |
| 10,10 | 0.356393 | 0.356393 | 0.356393 | 0.119137 | 0.119137 | 0.119137 |
Dealer Up Card 3
Dealer stands soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.248795 |
| 2 | -0.250039 | -0.251293 |
| 3 | -0.249763 | -0.25099 | -0.250686 |
| 4 | -0.247423 | -0.248651 | -0.248346 | -0.246006 |
| 5 | -0.246985 | -0.248212 | -0.247908 | -0.245556 | -0.245115 |
| 6 | -0.113384 | -0.248688 | -0.248363 | -0.246032 | -0.245592 | -0.24607 |
| 7 | 0.151119 | -0.249155 | -0.248851 | -0.246521 | -0.246082 | -0.246558 | -0.247071 |
| 8 | 0.406627 | -0.249823 | -0.24952 | -0.247191 | -0.24675 | -0.247253 | -0.247742 | -0.248412 |
| 9 | 0.649381 | -0.253744 | -0.253441 | -0.251111 | -0.250696 | -0.251174 | -0.251663 | -0.117448 | 0.144793 |
| 10 | 1.5 | -0.25453 | -0.254228 | -0.251923 | -0.251482 | -0.25196 | -0.117503 | 0.147908 | 0.401226 | 0.647985 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.106038 |
| 2 | 0.0736774 | -0.0820634 |
| 3 | 0.0498735 | -0.0953718 | -0.108263 |
| 4 | 0.0281415 | -0.10678 | -0.0768294 | 0.0115804 |
| 5 | 0.00713336 | -0.0739586 | 0.0102885 | 0.107786 | 0.213959 |
| 6 | 0.0300622 | 0.0106826 | 0.107252 | 0.213213 | 0.268829 | -0.231965 |
| 7 | 0.090731 | 0.105933 | 0.212482 | 0.267373 | -0.231898 | -0.293386 | -0.355163 |
| 8 | 0.152924 | 0.21164 | 0.26586 | -0.233026 | -0.293524 | -0.348528 | -0.4024 | -0.461664 |
| 9 | 0.204703 | 0.261969 | -0.236992 | -0.289298 | -0.349725 | -0.410266 | -0.462969 | -0.532256 | -0.622799 |
| 10 | 0.262008 | -0.231352 | -0.2898 | -0.349731 | -0.409906 | -0.463382 | -0.532471 | -0.622201 | -0.725564 | -0.853605 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.00298944 |
| 2 | -0.000767797 | -0.502585 |
| 3 | -0.00336887 | -0.501981 | -0.480702 |
| 4 | -0.00527757 | -0.476783 | -0.353082 | -0.12673 |
| 5 | -0.00909872 | -0.351319 | -0.126928 | 0.133343 | 0.425666 |
| 6 | 0.0579973 | -0.12666 | 0.131933 | 0.424182 | 0.535532 | -0.463931 |
| 7 | 0.179332 | 0.13253 | 0.422508 | 0.532616 | -0.463795 | -0.586773 | -0.710327 |
| 8 | 0.30361 | 0.420928 | 0.529386 | -0.466053 | -0.587049 | -0.697056 | -0.804799 | -0.923328 |
| 9 | 0.406922 | 0.521453 | -0.473984 | -0.578596 | -0.69945 | -0.820532 | -0.925939 | -1.06451 | -1.2456 |
| 10 | 0.520744 | -0.462704 | -0.5796 | -0.699462 | -0.819812 | -0.926764 | -1.06494 | -1.2444 | -1.45113 | -1.70721 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.533182 | 0.533182 | 0.533182 | 0.658824 | 0.658824 | 0.658824 |
| 2,2 | -0.0944406 | -0.01667 | -0.0211584 | -0.0963639 | -0.00591481 | -0.0112081 |
| 3,3 | -0.135339 | -0.0573586 | -0.0613086 | -0.139234 | -0.0492329 | -0.0538107 |
| 4,4 | -0.158582 | -0.0795286 | -0.0838191 | -0.185715 | -0.0937677 | -0.0988 |
| 5,5 | -0.184014 | -0.107012 | -0.111439 | -0.247784 | -0.192857 | -0.198066 |
| 6,6 | -0.202725 | -0.118482 | -0.127528 | -0.197136 | -0.0990312 | -0.109693 |
| 7,7 | -0.142357 | -0.0592898 | -0.0690109 | -0.125188 | -0.0284369 | -0.0399264 |
| 8,8 | 0.0259044 | 0.0983016 | 0.0983016 | 0.0701995 | 0.154307 | 0.154307 |
| 9,9 | 0.198208 | 0.238147 | 0.238147 | 0.206374 | 0.252661 | 0.252661 |
| 10,10 | 0.404536 | 0.404536 | 0.404536 | 0.198864 | 0.198864 | 0.198864 |
Dealer Up Card 4
Dealer stands soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.205803 |
| 2 | -0.206762 | -0.207677 |
| 3 | -0.204425 | -0.205341 | -0.203004 |
| 4 | -0.203979 | -0.204895 | -0.202559 | -0.202101 |
| 5 | -0.203594 | -0.204511 | -0.202162 | -0.201715 | -0.201329 |
| 6 | -0.0737058 | -0.204952 | -0.202624 | -0.202177 | -0.201792 | -0.202253 |
| 7 | 0.180238 | -0.205645 | -0.203317 | -0.202871 | -0.202485 | -0.202973 | -0.203668 |
| 8 | 0.422207 | -0.209561 | -0.207235 | -0.206787 | -0.206426 | -0.20689 | -0.207585 | -0.211502 |
| 9 | 0.659822 | -0.210367 | -0.208039 | -0.207616 | -0.20723 | -0.207694 | -0.208389 | -0.0811275 | 0.17408 |
| 10 | 1.5 | -0.211115 | -0.208813 | -0.208365 | -0.207979 | -0.208443 | -0.07799 | 0.17406 | 0.420027 | 0.658451 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.129004 |
| 2 | 0.103706 | -0.0467735 |
| 3 | 0.0817401 | -0.0580953 | -0.0687829 |
| 4 | 0.0593948 | -0.069987 | -0.038805 | 0.0480271 |
| 5 | 0.0393632 | -0.0377411 | 0.0463729 | 0.138455 | 0.24056 |
| 6 | 0.0620467 | 0.0454362 | 0.13801 | 0.240204 | 0.293738 | -0.21006 |
| 7 | 0.124399 | 0.135128 | 0.2392 | 0.292304 | -0.210281 | -0.274868 | -0.340486 |
| 8 | 0.177396 | 0.234141 | 0.28782 | -0.213675 | -0.277081 | -0.335432 | -0.393183 | -0.45691 |
| 9 | 0.23023 | 0.285737 | -0.21539 | -0.271085 | -0.33513 | -0.399532 | -0.455828 | -0.529145 | -0.614207 |
| 10 | 0.285339 | -0.210364 | -0.271529 | -0.335176 | -0.399232 | -0.45606 | -0.528312 | -0.614215 | -0.724521 | -0.853371 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.0711559 |
| 2 | 0.0680411 | -0.415355 |
| 3 | 0.0669041 | -0.410683 | -0.386311 |
| 4 | 0.0623889 | -0.389655 | -0.265965 | -0.0493462 |
| 5 | 0.058627 | -0.268419 | -0.0495295 | 0.199844 | 0.48112 |
| 6 | 0.124093 | -0.0523974 | 0.198945 | 0.480409 | 0.587477 | -0.420119 |
| 7 | 0.248797 | 0.196167 | 0.478401 | 0.584609 | -0.420562 | -0.549736 | -0.680972 |
| 8 | 0.354792 | 0.468282 | 0.575641 | -0.427349 | -0.554162 | -0.670864 | -0.786366 | -0.91382 |
| 9 | 0.460459 | 0.571475 | -0.43078 | -0.54217 | -0.67026 | -0.799063 | -0.911655 | -1.05829 | -1.22841 |
| 10 | 0.570679 | -0.420728 | -0.543059 | -0.670351 | -0.798464 | -0.912119 | -1.05662 | -1.22843 | -1.44904 | -1.70674 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.582709 | 0.582709 | 0.582709 | 0.709375 | 0.709375 | 0.709375 |
| 2,2 | -0.0376177 | 0.053387 | 0.0435666 | -0.03613 | 0.0696668 | 0.0581892 |
| 3,3 | -0.059614 | 0.0326446 | 0.0229281 | -0.0578041 | 0.0494426 | 0.0381227 |
| 4,4 | -0.0854796 | 0.00870383 | -0.00188681 | -0.105697 | 0.00307266 | -0.00920314 |
| 5,5 | -0.110131 | -0.0164779 | -0.0291697 | -0.166244 | -0.0967154 | -0.111485 |
| 6,6 | -0.127881 | -0.0250376 | -0.0453552 | -0.115375 | 0.00435035 | -0.0194132 |
| 7,7 | -0.0699684 | 0.0330665 | 0.0116821 | -0.0480469 | 0.0718868 | 0.0468601 |
| 8,8 | 0.0825824 | 0.163367 | 0.163367 | 0.12988 | 0.223591 | 0.223591 |
| 9,9 | 0.256731 | 0.30073 | 0.30073 | 0.269685 | 0.320678 | 0.320678 |
| 10,10 | 0.454788 | 0.454788 | 0.454788 | 0.282135 | 0.282135 | 0.282135 |
Dealer Up Card 5
Dealer stands soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.160846 |
| 2 | -0.159409 | -0.157959 |
| 3 | -0.158985 | -0.157535 | -0.157111 |
| 4 | -0.15859 | -0.157142 | -0.156706 | -0.15631 |
| 5 | -0.15823 | -0.156769 | -0.156343 | -0.155947 | -0.155584 |
| 6 | -0.0372761 | -0.157461 | -0.157036 | -0.156641 | -0.156277 | -0.156998 |
| 7 | 0.203128 | -0.161406 | -0.160981 | -0.160585 | -0.160247 | -0.160941 | -0.164886 |
| 8 | 0.442902 | -0.162223 | -0.161797 | -0.161427 | -0.161063 | -0.161758 | -0.165703 | -0.166521 |
| 9 | 0.672201 | -0.162932 | -0.162532 | -0.162136 | -0.161772 | -0.162468 | -0.166413 | -0.0447946 | 0.200047 |
| 10 | 1.5 | -0.163622 | -0.163196 | -0.1628 | -0.162437 | -0.163133 | -0.0446494 | 0.200067 | 0.440769 | 0.670893 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.160723 |
| 2 | 0.137333 | -0.0049626 |
| 3 | 0.115726 | -0.0169814 | -0.0281835 |
| 4 | 0.0943517 | -0.02817 | 0.00137205 | 0.0836242 |
| 5 | 0.0746082 | 0.00259926 | 0.0816399 | 0.171639 | 0.270246 |
| 6 | 0.098894 | 0.0801312 | 0.170001 | 0.269038 | 0.320645 | -0.18856 |
| 7 | 0.152043 | 0.164083 | 0.264422 | 0.315911 | -0.190851 | -0.259222 | -0.329183 |
| 8 | 0.206863 | 0.26262 | 0.314059 | -0.192253 | -0.259433 | -0.320819 | -0.383461 | -0.449932 |
| 9 | 0.258083 | 0.312378 | -0.193893 | -0.253443 | -0.320312 | -0.388253 | -0.449906 | -0.518184 | -0.611359 |
| 10 | 0.311181 | -0.18861 | -0.253882 | -0.320371 | -0.387776 | -0.44882 | -0.518176 | -0.61137 | -0.723267 | -0.85307 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.140787 |
| 2 | 0.139852 | -0.315919 |
| 3 | 0.138428 | -0.315071 | -0.295399 |
| 4 | 0.133708 | -0.295698 | -0.1812 | 0.0276785 |
| 5 | 0.129043 | -0.182527 | 0.0266507 | 0.269397 | 0.540491 |
| 6 | 0.197788 | 0.0231361 | 0.266082 | 0.538075 | 0.64129 | -0.377121 |
| 7 | 0.304086 | 0.25733 | 0.528845 | 0.631822 | -0.381701 | -0.518445 | -0.658367 |
| 8 | 0.413727 | 0.525241 | 0.628118 | -0.384505 | -0.518865 | -0.641638 | -0.766922 | -0.899865 |
| 9 | 0.516167 | 0.624756 | -0.387786 | -0.506886 | -0.640623 | -0.776507 | -0.899811 | -1.03637 | -1.22272 |
| 10 | 0.622363 | -0.37722 | -0.507763 | -0.640742 | -0.775552 | -0.897639 | -1.03635 | -1.22274 | -1.44653 | -1.70614 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.633922 | 0.633922 | 0.633922 | 0.761571 | 0.761571 | 0.761571 |
| 2,2 | 0.0430555 | 0.148858 | 0.133024 | 0.0509104 | 0.174008 | 0.155451 |
| 3,3 | 0.0181786 | 0.128115 | 0.108841 | 0.0259822 | 0.153847 | 0.131348 |
| 4,4 | -0.00636932 | 0.106971 | 0.085509 | -0.0207189 | 0.111093 | 0.0860858 |
| 5,5 | -0.0303581 | 0.0819062 | 0.0574451 | -0.0760894 | 0.0114553 | -0.0168092 |
| 6,6 | -0.0482878 | 0.0740637 | 0.0425292 | -0.030274 | 0.112114 | 0.0753294 |
| 7,7 | -0.00541723 | 0.115255 | 0.0848224 | 0.0203391 | 0.160493 | 0.125097 |
| 8,8 | 0.149614 | 0.238876 | 0.238876 | 0.200419 | 0.303964 | 0.303964 |
| 9,9 | 0.319391 | 0.367531 | 0.367531 | 0.338227 | 0.394027 | 0.394027 |
| 10,10 | 0.51002 | 0.51002 | 0.51002 | 0.372151 | 0.372151 | 0.372151 |
Dealer Up Card 6
Dealer stands soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.145698 |
| 2 | -0.147343 | -0.148979 |
| 3 | -0.146975 | -0.148613 | -0.148235 |
| 4 | -0.146635 | -0.148262 | -0.147894 | -0.147552 |
| 5 | -0.146311 | -0.147947 | -0.147579 | -0.147237 | -0.146921 |
| 6 | 0.0120063 | -0.151827 | -0.15146 | -0.151116 | -0.150826 | -0.154706 |
| 7 | 0.280488 | -0.152585 | -0.152216 | -0.151899 | -0.151583 | -0.155464 | -0.156222 |
| 8 | 0.493924 | -0.153236 | -0.152893 | -0.152551 | -0.152235 | -0.156116 | -0.156878 | -0.157495 |
| 9 | 0.702601 | -0.153877 | -0.153509 | -0.153166 | -0.152851 | -0.156736 | -0.157459 | 0.00828387 | 0.280805 |
| 10 | 1.5 | -0.154694 | -0.154326 | -0.153984 | -0.15367 | -0.157516 | 0.00832999 | 0.281026 | 0.494123 | 0.702826 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.187973 |
| 2 | 0.162671 | 0.0146234 |
| 3 | 0.140226 | 0.00216798 | -0.00864207 |
| 4 | 0.118402 | -0.00863516 | 0.0340053 | 0.124399 |
| 5 | 0.101516 | 0.0356713 | 0.122679 | 0.206548 | 0.299427 |
| 6 | 0.129253 | 0.118058 | 0.201776 | 0.294885 | 0.341332 | -0.173833 |
| 7 | 0.191403 | 0.198588 | 0.292827 | 0.338982 | -0.171631 | -0.242507 | -0.311022 |
| 8 | 0.240133 | 0.291058 | 0.337335 | -0.172631 | -0.240648 | -0.304185 | -0.365151 | -0.425486 |
| 9 | 0.286683 | 0.335808 | -0.174121 | -0.234397 | -0.301944 | -0.371282 | -0.42549 | -0.50468 | -0.604091 |
| 10 | 0.334921 | -0.168756 | -0.234633 | -0.30196 | -0.369292 | -0.425431 | -0.504644 | -0.604067 | -0.720056 | -0.852263 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.190709 |
| 2 | 0.187925 | -0.297957 |
| 3 | 0.186374 | -0.297225 | -0.27132 |
| 4 | 0.182917 | -0.271375 | -0.125555 | 0.103556 |
| 5 | 0.185557 | -0.125923 | 0.103206 | 0.336805 | 0.598854 |
| 6 | 0.258507 | 0.0935857 | 0.327255 | 0.58977 | 0.682665 | -0.347667 |
| 7 | 0.382807 | 0.324158 | 0.585653 | 0.677964 | -0.343262 | -0.485014 | -0.622045 |
| 8 | 0.480266 | 0.582117 | 0.674669 | -0.345262 | -0.481295 | -0.60837 | -0.730302 | -0.850971 |
| 9 | 0.573365 | 0.671615 | -0.348242 | -0.468793 | -0.603888 | -0.742564 | -0.85098 | -1.00936 | -1.20818 |
| 10 | 0.669843 | -0.337513 | -0.469267 | -0.603919 | -0.738584 | -0.850861 | -1.00929 | -1.20813 | -1.44011 | -1.70453 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.682366 | 0.682366 | 0.682366 | 0.814958 | 0.814958 | 0.814958 |
| 2,2 | 0.0856918 | 0.208396 | 0.183849 | 0.0972738 | 0.240031 | 0.211337 |
| 3,3 | 0.0588173 | 0.184428 | 0.157635 | 0.0700405 | 0.21613 | 0.184889 |
| 4,4 | 0.0321072 | 0.161014 | 0.129818 | 0.0173557 | 0.167272 | 0.130948 |
| 5,5 | 0.00736402 | 0.13638 | 0.102233 | -0.0394846 | 0.0614334 | 0.0217211 |
| 6,6 | -0.0224029 | 0.116675 | 0.0768318 | -0.00194256 | 0.158492 | 0.112513 |
| 7,7 | 0.0588748 | 0.192728 | 0.157049 | 0.0935502 | 0.248995 | 0.207504 |
| 8,8 | 0.230584 | 0.327864 | 0.327864 | 0.292943 | 0.405788 | 0.405788 |
| 9,9 | 0.387321 | 0.43911 | 0.43911 | 0.404048 | 0.464083 | 0.464083 |
| 10,10 | 0.566768 | 0.566768 | 0.566768 | 0.449461 | 0.449461 | 0.449461 |
Dealer Up Card 7
Dealer stands or hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.471742 |
| 2 | -0.473185 | -0.474622 |
| 3 | -0.472861 | -0.474287 | -0.473962 |
| 4 | -0.472512 | -0.473947 | -0.473622 | -0.473283 |
| 5 | -0.473968 | -0.475404 | -0.475079 | -0.474737 | -0.476217 |
| 6 | -0.103825 | -0.476165 | -0.475838 | -0.475523 | -0.476977 | -0.477738 |
| 7 | 0.401861 | -0.476858 | -0.476558 | -0.476217 | -0.477672 | -0.478433 | -0.479132 |
| 8 | 0.615734 | -0.477422 | -0.477096 | -0.476756 | -0.47821 | -0.478975 | -0.479635 | -0.480181 |
| 9 | 0.773273 | -0.478284 | -0.477959 | -0.477619 | -0.479075 | -0.479801 | -0.480503 | -0.10973 | 0.399576 |
| 10 | 1.5 | -0.474935 | -0.474609 | -0.474271 | -0.475708 | -0.476476 | -0.108885 | 0.397743 | 0.615047 | 0.772011 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.164333 |
| 2 | 0.120174 | -0.0888281 |
| 3 | 0.0765395 | -0.119481 | -0.153797 |
| 4 | 0.036406 | -0.153746 | -0.0691195 | 0.0866162 |
| 5 | -0.007882 | -0.0686508 | 0.0838445 | 0.176299 | 0.260394 |
| 6 | 0.0547064 | 0.0839387 | 0.176073 | 0.261579 | 0.293411 | -0.220562 |
| 7 | 0.171872 | 0.174276 | 0.260334 | 0.292868 | -0.219577 | -0.278428 | -0.331784 |
| 8 | 0.220956 | 0.258576 | 0.292164 | -0.217934 | -0.278145 | -0.325493 | -0.362547 | -0.408423 |
| 9 | 0.254647 | 0.291741 | -0.218241 | -0.269781 | -0.325412 | -0.368743 | -0.408432 | -0.478075 | -0.587176 |
| 10 | 0.291217 | -0.212638 | -0.269267 | -0.324567 | -0.368927 | -0.408624 | -0.47838 | -0.58734 | -0.712756 | -0.850445 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.176403 |
| 2 | -0.179483 | -0.949243 |
| 3 | -0.182241 | -0.948574 | -0.890244 |
| 4 | -0.17716 | -0.890224 | -0.581824 | -0.1751 |
| 5 | -0.184344 | -0.585406 | -0.178613 | 0.118144 | 0.404746 |
| 6 | -0.00885703 | -0.180927 | 0.115952 | 0.406015 | 0.469749 | -0.520123 |
| 7 | 0.223664 | 0.113595 | 0.401418 | 0.467648 | -0.518149 | -0.606515 | -0.691921 |
| 8 | 0.32056 | 0.396342 | 0.464533 | -0.515629 | -0.605877 | -0.678337 | -0.73571 | -0.816845 |
| 9 | 0.385938 | 0.461868 | -0.518061 | -0.589288 | -0.677253 | -0.748137 | -0.816864 | -0.95615 | -1.17435 |
| 10 | 0.463763 | -0.504855 | -0.58665 | -0.67424 | -0.746864 | -0.817247 | -0.95676 | -1.17468 | -1.42551 | -1.70089 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.4756 | 0.4756 | 0.4756 | 0.62784 | 0.62784 | 0.62784 |
| 2,2 | -0.0541753 | -0.00518736 | -0.00518736 | -0.0485924 | 0.00850637 | 0.00850637 |
| 3,3 | -0.115161 | -0.066057 | -0.066057 | -0.108482 | -0.0512243 | -0.0512243 |
| 4,4 | -0.183163 | -0.133145 | -0.133145 | -0.22725 | -0.168897 | -0.168897 |
| 5,5 | -0.247854 | -0.198756 | -0.198756 | -0.330734 | -0.29748 | -0.29748 |
| 6,6 | -0.299362 | -0.24889 | -0.24889 | -0.311436 | -0.2527 | -0.2527 |
| 7,7 | -0.135364 | -0.0864931 | -0.0864931 | -0.104751 | -0.0484376 | -0.0484376 |
| 8,8 | 0.171102 | 0.218422 | 0.218422 | 0.263944 | 0.318713 | 0.318713 |
| 9,9 | 0.343323 | 0.369004 | 0.369004 | 0.33424 | 0.363908 | 0.363908 |
| 10,10 | 0.508736 | 0.508736 | 0.508736 | 0.289687 | 0.289687 | 0.289687 |
Dealer Up Card 8
Dealer stands or hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.508761 |
| 2 | -0.510013 | -0.511247 |
| 3 | -0.509664 | -0.510908 | -0.510567 |
| 4 | -0.511097 | -0.51234 | -0.512 | -0.51343 |
| 5 | -0.511033 | -0.512277 | -0.511935 | -0.513391 | -0.513325 |
| 6 | -0.382583 | -0.512931 | -0.512615 | -0.514046 | -0.51398 | -0.514636 |
| 7 | 0.108057 | -0.513536 | -0.513196 | -0.514626 | -0.514561 | -0.515221 | -0.515766 |
| 8 | 0.595896 | -0.514402 | -0.514062 | -0.515493 | -0.515429 | -0.51605 | -0.516638 | -0.517509 |
| 9 | 0.790658 | -0.511055 | -0.510715 | -0.512148 | -0.512065 | -0.512728 | -0.513316 | -0.387487 | 0.0992609 |
| 10 | 1.5 | -0.511634 | -0.511295 | -0.512708 | -0.512647 | -0.513309 | -0.384233 | 0.104057 | 0.591091 | 0.79042 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.0945853 |
| 2 | 0.0518353 | -0.15679 |
| 3 | 0.0164781 | -0.187166 | -0.219182 |
| 4 | -0.0284042 | -0.21972 | -0.213278 | -0.0590903 |
| 5 | -0.069392 | -0.211671 | -0.059455 | 0.0999199 | 0.199537 |
| 6 | -0.0717497 | -0.0592142 | 0.101203 | 0.19962 | 0.230173 | -0.279301 |
| 7 | 0.0410278 | 0.0997408 | 0.200742 | 0.228786 | -0.279202 | -0.334678 | -0.377709 |
| 8 | 0.152903 | 0.199178 | 0.22856 | -0.279058 | -0.333494 | -0.371477 | -0.410942 | -0.453401 |
| 9 | 0.193713 | 0.227615 | -0.278647 | -0.32601 | -0.371556 | -0.417413 | -0.453627 | -0.501194 | -0.587148 |
| 10 | 0.228515 | -0.272002 | -0.324425 | -0.369606 | -0.41691 | -0.45313 | -0.500967 | -0.586989 | -0.711065 | -0.850101 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.311501 |
| 2 | -0.314099 | -1.02249 |
| 3 | -0.305059 | -1.02181 | -1.00114 |
| 4 | -0.314303 | -1.00468 | -0.847352 | -0.451036 |
| 5 | -0.317151 | -0.847888 | -0.448043 | -0.0216891 | 0.293033 |
| 6 | -0.25134 | -0.449931 | -0.0201218 | 0.291603 | 0.353456 | -0.630537 |
| 7 | -0.0281893 | -0.0216817 | 0.2926 | 0.3491 | -0.630474 | -0.71475 | -0.780906 |
| 8 | 0.193997 | 0.287564 | 0.347405 | -0.631949 | -0.712504 | -0.767559 | -0.831472 | -0.906802 |
| 9 | 0.277473 | 0.346979 | -0.629649 | -0.696199 | -0.765428 | -0.843769 | -0.907254 | -1.00239 | -1.1743 |
| 10 | 0.347788 | -0.617342 | -0.693346 | -0.76198 | -0.841853 | -0.906261 | -1.00193 | -1.17398 | -1.42213 | -1.7002 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.359708 | 0.359708 | 0.359708 | 0.499407 | 0.499407 | 0.499407 |
| 2,2 | -0.207056 | -0.17427 | -0.17427 | -0.215011 | -0.176735 | -0.176735 |
| 3,3 | -0.262997 | -0.229737 | -0.229737 | -0.269485 | -0.230625 | -0.230625 |
| 4,4 | -0.322242 | -0.288375 | -0.288375 | -0.365022 | -0.325504 | -0.325504 |
| 5,5 | -0.386975 | -0.353518 | -0.353518 | -0.482422 | -0.459057 | -0.459057 |
| 6,6 | -0.431736 | -0.397634 | -0.397634 | -0.455772 | -0.41602 | -0.41602 |
| 7,7 | -0.42229 | -0.389294 | -0.389294 | -0.428771 | -0.39043 | -0.39043 |
| 8,8 | -0.116221 | -0.0848756 | -0.0848756 | -0.0650247 | -0.029025 | -0.029025 |
| 9,9 | 0.193427 | 0.211619 | 0.211619 | 0.208866 | 0.229892 | 0.229892 |
| 10,10 | 0.388889 | 0.388889 | 0.388889 | 0.0553289 | 0.0553289 | 0.0553289 |
Dealer Up Card 9
Dealer stands or hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.538085 |
| 2 | -0.539111 | -0.540137 |
| 3 | -0.540547 | -0.541573 | -0.543009 |
| 4 | -0.540464 | -0.54149 | -0.542924 | -0.542865 |
| 5 | -0.540364 | -0.541389 | -0.542848 | -0.542763 | -0.542661 |
| 6 | -0.420578 | -0.542034 | -0.543467 | -0.543383 | -0.543281 | -0.543905 |
| 7 | -0.18264 | -0.542861 | -0.544295 | -0.544211 | -0.544111 | -0.544695 | -0.545528 |
| 8 | 0.287618 | -0.539517 | -0.540951 | -0.540869 | -0.54075 | -0.541376 | -0.542209 | -0.53889 |
| 9 | 0.75949 | -0.540098 | -0.541534 | -0.541432 | -0.541334 | -0.541961 | -0.542794 | -0.421286 | -0.185235 |
| 10 | 1.5 | -0.540641 | -0.542057 | -0.541976 | -0.541878 | -0.542505 | -0.422164 | -0.185194 | 0.283901 | 0.756075 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.000332527 |
| 2 | -0.0340891 | -0.237873 |
| 3 | -0.0727457 | -0.265989 | -0.295264 |
| 4 | -0.112418 | -0.294528 | -0.288453 | -0.209848 |
| 5 | -0.151418 | -0.285443 | -0.211386 | -0.0521894 | 0.116653 |
| 6 | -0.147268 | -0.209881 | -0.0520304 | 0.116739 | 0.157414 | -0.347155 |
| 7 | -0.098469 | -0.0521706 | 0.116689 | 0.156869 | -0.347763 | -0.392092 | -0.437912 |
| 8 | 0.00744204 | 0.116883 | 0.155339 | -0.348743 | -0.39131 | -0.431821 | -0.467044 | -0.505707 |
| 9 | 0.113198 | 0.155832 | -0.34822 | -0.383661 | -0.430167 | -0.472812 | -0.504993 | -0.550164 | -0.613052 |
| 10 | 0.156681 | -0.340701 | -0.382712 | -0.428224 | -0.472187 | -0.504547 | -0.549404 | -0.612833 | -0.712763 | -0.849438 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.450881 |
| 2 | -0.443187 | -1.08027 |
| 3 | -0.446362 | -1.08315 | -1.06737 |
| 4 | -0.450957 | -1.06433 | -0.955318 | -0.715694 |
| 5 | -0.45577 | -0.952281 | -0.715741 | -0.297409 | 0.149188 |
| 6 | -0.392162 | -0.714108 | -0.298867 | 0.147751 | 0.230031 | -0.749935 |
| 7 | -0.284825 | -0.297011 | 0.145776 | 0.227194 | -0.75149 | -0.817609 | -0.894019 |
| 8 | -0.0711606 | 0.148698 | 0.225746 | -0.752669 | -0.81427 | -0.879484 | -0.939621 | -1.01141 |
| 9 | 0.138523 | 0.22546 | -0.753666 | -0.800017 | -0.875363 | -0.951189 | -1.00999 | -1.10033 | -1.2261 |
| 10 | 0.225894 | -0.738846 | -0.798989 | -0.872084 | -0.949023 | -1.00909 | -1.09881 | -1.22567 | -1.42553 | -1.69888 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.237754 | 0.237754 | 0.237754 | 0.362668 | 0.362668 | 0.362668 |
| 2,2 | -0.380624 | -0.364258 | -0.364258 | -0.40337 | -0.384161 | -0.384161 |
| 3,3 | -0.428848 | -0.412806 | -0.412806 | -0.449889 | -0.431113 | -0.431113 |
| 4,4 | -0.483098 | -0.466658 | -0.466658 | -0.527209 | -0.507951 | -0.507951 |
| 5,5 | -0.544414 | -0.527671 | -0.527671 | -0.651782 | -0.637918 | -0.637918 |
| 6,6 | -0.58326 | -0.566643 | -0.566643 | -0.620858 | -0.601424 | -0.601424 |
| 7,7 | -0.57029 | -0.554834 | -0.554834 | -0.590777 | -0.572784 | -0.572784 |
| 8,8 | -0.421152 | -0.405024 | -0.405024 | -0.407995 | -0.389239 | -0.389239 |
| 9,9 | -0.105627 | -0.0951435 | -0.0951435 | -0.0933522 | -0.0813482 | -0.0813482 |
| 10,10 | 0.224817 | 0.224817 | 0.224817 | -0.215983 | -0.215983 | -0.215983 |
Dealer Up Card 10
Dealer stands or hits soft 17
Results conditioned on dealer not having blackjack
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.538797 |
| 2 | -0.540188 | -0.541589 |
| 3 | -0.540096 | -0.541497 | -0.541402 |
| 4 | -0.540016 | -0.541415 | -0.541348 | -0.541266 |
| 5 | -0.539901 | -0.541327 | -0.541232 | -0.54115 | -0.541033 |
| 6 | -0.419557 | -0.54222 | -0.542126 | -0.542044 | -0.541929 | -0.542783 |
| 7 | -0.179563 | -0.538595 | -0.538501 | -0.53842 | -0.538285 | -0.539184 | -0.535586 |
| 8 | 0.0633213 | -0.539225 | -0.539133 | -0.539031 | -0.538919 | -0.539818 | -0.53622 | -0.536853 |
| 9 | 0.554555 | -0.539813 | -0.539699 | -0.539621 | -0.539508 | -0.540408 | -0.536809 | -0.415036 | -0.17108 |
| 10 | 1.5 | -0.540337 | -0.540246 | -0.540168 | -0.540055 | -0.540955 | -0.418457 | -0.174546 | 0.0694439 | 0.559145 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.0664507 |
| 2 | -0.102397 | -0.287264 |
| 3 | -0.137195 | -0.312894 | -0.338914 |
| 4 | -0.17342 | -0.339416 | -0.321982 | -0.248627 |
| 5 | -0.210785 | -0.320035 | -0.250197 | -0.151422 | 0.0265585 |
| 6 | -0.195637 | -0.249643 | -0.151251 | 0.0267409 | 0.118209 | -0.381953 |
| 7 | -0.143037 | -0.153296 | 0.0259686 | 0.117225 | -0.382266 | -0.429243 | -0.474164 |
| 8 | -0.087721 | 0.0261249 | 0.11746 | -0.382259 | -0.428999 | -0.466098 | -0.49979 | -0.535361 |
| 9 | 0.022637 | 0.116843 | -0.382498 | -0.421249 | -0.464389 | -0.505345 | -0.535392 | -0.580276 | -0.643985 |
| 10 | 0.116912 | -0.37567 | -0.420242 | -0.463115 | -0.504038 | -0.534676 | -0.580066 | -0.643745 | -0.726389 | -0.847142 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.50665 |
| 2 | -0.508569 | -1.08318 |
| 3 | -0.50872 | -1.08299 | -1.064 |
| 4 | -0.511188 | -1.06402 | -0.951438 | -0.745112 |
| 5 | -0.51763 | -0.951413 | -0.745092 | -0.461977 | -0.00407058 |
| 6 | -0.454581 | -0.746677 | -0.463526 | -0.00560296 | 0.178451 | -0.798288 |
| 7 | -0.342747 | -0.461749 | -0.00504336 | 0.178371 | -0.795997 | -0.874234 | -0.953611 |
| 8 | -0.233592 | -0.00635991 | 0.176919 | -0.798324 | -0.874191 | -0.938057 | -0.999525 | -1.07072 |
| 9 | -0.0154269 | 0.173923 | -0.800788 | -0.859767 | -0.933839 | -1.01141 | -1.07078 | -1.16055 | -1.28797 |
| 10 | 0.173198 | -0.787819 | -0.858713 | -0.932032 | -1.00781 | -1.06935 | -1.16013 | -1.28749 | -1.45278 | -1.69428 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.181988 | 0.181988 | 0.181988 | 0.298385 | 0.298385 | 0.298385 |
| 2,2 | -0.480405 | -0.471322 | -0.471322 | -0.511315 | -0.500709 | -0.500709 |
| 3,3 | -0.527446 | -0.517976 | -0.517976 | -0.557356 | -0.546298 | -0.546298 |
| 4,4 | -0.578229 | -0.568455 | -0.568455 | -0.63134 | -0.61992 | -0.61992 |
| 5,5 | -0.63519 | -0.625469 | -0.625469 | -0.74247 | -0.731096 | -0.731096 |
| 6,6 | -0.67202 | -0.662506 | -0.662506 | -0.718247 | -0.707147 | -0.707147 |
| 7,7 | -0.637793 | -0.627907 | -0.627907 | -0.6632 | -0.651656 | -0.651656 |
| 8,8 | -0.492741 | -0.483336 | -0.483336 | -0.485983 | -0.475044 | -0.475044 |
| 9,9 | -0.299119 | -0.290442 | -0.290442 | -0.31982 | -0.309804 | -0.309804 |
| 10,10 | 0.0520904 | 0.0520904 | 0.0520904 | -0.363189 | -0.363189 | -0.363189 |
Dealer Up Card 1
Dealer hits soft 17
Results conditioned on dealer not having blackjack
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.597555 |
| 2 | -0.597221 | -0.596885 |
| 3 | -0.596876 | -0.596541 | -0.596213 |
| 4 | -0.59651 | -0.596191 | -0.595855 | -0.595485 |
| 5 | -0.596653 | -0.596326 | -0.595977 | -0.595606 | -0.595732 |
| 6 | -0.514255 | -0.5957 | -0.595352 | -0.594983 | -0.595078 | -0.594466 |
| 7 | -0.225366 | -0.594779 | -0.594432 | -0.594044 | -0.594172 | -0.593566 | -0.592673 |
| 8 | 0.189506 | -0.595855 | -0.59549 | -0.595123 | -0.595252 | -0.594645 | -0.593749 | -0.594826 |
| 9 | 0.605486 | -0.596906 | -0.596562 | -0.596195 | -0.596325 | -0.595712 | -0.59482 | -0.511698 | -0.219501 |
| 10 | 1.5 | -0.599164 | -0.598822 | -0.598458 | -0.598583 | -0.597991 | -0.513757 | -0.223376 | 0.191966 | 0.600345 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.0647538 |
| 2 | -0.100433 | -0.292671 |
| 3 | -0.13517 | -0.317783 | -0.344327 |
| 4 | -0.172032 | -0.344326 | -0.353382 | -0.263885 |
| 5 | -0.209173 | -0.351841 | -0.265885 | -0.124191 | 0.0344584 |
| 6 | -0.221402 | -0.265893 | -0.124603 | 0.0346161 | 0.108668 | -0.387285 |
| 7 | -0.160455 | -0.126813 | 0.0338823 | 0.107942 | -0.387531 | -0.434381 | -0.477593 |
| 8 | -0.0646539 | 0.0338718 | 0.107445 | -0.387293 | -0.433097 | -0.470188 | -0.503074 | -0.538561 |
| 9 | 0.0304891 | 0.107036 | -0.387407 | -0.425233 | -0.468617 | -0.508651 | -0.538656 | -0.577117 | -0.638487 |
| 10 | 0.104245 | -0.383367 | -0.42701 | -0.468857 | -0.509549 | -0.540015 | -0.57894 | -0.639911 | -0.733039 | -0.858455 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.585161 |
| 2 | -0.584258 | -1.19377 |
| 3 | -0.583705 | -1.19308 | -1.18015 |
| 4 | -0.587 | -1.18011 | -1.08502 | -0.829358 |
| 5 | -0.592894 | -1.08601 | -0.830452 | -0.451623 | -0.0255888 |
| 6 | -0.54855 | -0.831493 | -0.452926 | -0.0257492 | 0.124006 | -0.836671 |
| 7 | -0.417825 | -0.454401 | -0.0277978 | 0.122284 | -0.837178 | -0.906998 | -0.976448 |
| 8 | -0.228247 | -0.0301267 | 0.118796 | -0.838972 | -0.905728 | -0.961526 | -1.01426 | -1.07712 |
| 9 | -0.0407247 | 0.115608 | -0.841503 | -0.891212 | -0.95821 | -1.02579 | -1.07731 | -1.15423 | -1.27697 |
| 10 | 0.108588 | -0.834065 | -0.895385 | -0.959222 | -1.0269 | -1.08003 | -1.15788 | -1.27982 | -1.46608 | -1.71691 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.120986 | 0.120986 | 0.120986 | 0.230719 | 0.230719 | 0.230719 |
| 2,2 | -0.491921 | -0.490161 | -0.490161 | -0.523701 | -0.521565 | -0.521565 |
| 3,3 | -0.53808 | -0.535829 | -0.535829 | -0.568669 | -0.565953 | -0.565953 |
| 4,4 | -0.587354 | -0.584527 | -0.584527 | -0.639384 | -0.635982 | -0.635982 |
| 5,5 | -0.645022 | -0.642 | -0.642 | -0.754998 | -0.75136 | -0.75136 |
| 6,6 | -0.682167 | -0.67918 | -0.67918 | -0.72906 | -0.725474 | -0.725474 |
| 7,7 | -0.69735 | -0.694633 | -0.694633 | -0.73138 | -0.728144 | -0.728144 |
| 8,8 | -0.519828 | -0.517931 | -0.517931 | -0.516453 | -0.514241 | -0.514241 |
| 9,9 | -0.239661 | -0.238571 | -0.238571 | -0.242451 | -0.241253 | -0.241253 |
| 10,10 | 0.0546087 | 0.0546087 | 0.0546087 | -0.400801 | -0.400801 | -0.400801 |
Dealer Up Card 2
Dealer hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.284007 |
| 2 | -0.28509 | -0.286161 |
| 3 | -0.285008 | -0.2861 | -0.286018 |
| 4 | -0.284912 | -0.285984 | -0.285902 | -0.285784 |
| 5 | -0.282389 | -0.283453 | -0.28337 | -0.283252 | -0.280711 |
| 6 | -0.15274 | -0.283948 | -0.283865 | -0.283726 | -0.281206 | -0.281702 |
| 7 | 0.11311 | -0.284456 | -0.284353 | -0.284235 | -0.281716 | -0.282213 | -0.282721 |
| 8 | 0.38075 | -0.284918 | -0.284836 | -0.284718 | -0.2822 | -0.282695 | -0.28323 | -0.283712 |
| 9 | 0.637642 | -0.285599 | -0.285517 | -0.2854 | -0.28288 | -0.283402 | -0.283912 | -0.153788 | 0.112769 |
| 10 | 1.5 | -0.289434 | -0.289351 | -0.289235 | -0.286739 | -0.287236 | -0.157191 | 0.109694 | 0.377921 | 0.632911 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.0820263 |
| 2 | 0.0456117 | -0.112545 |
| 3 | 0.0221019 | -0.126025 | -0.139265 |
| 4 | -0.000917293 | -0.139225 | -0.110919 | -0.0222376 |
| 5 | -0.0214451 | -0.107915 | -0.0231757 | 0.0757856 | 0.187678 |
| 6 | -0.000272617 | -0.0228706 | 0.0753318 | 0.186754 | 0.244941 | -0.253613 |
| 7 | 0.0604424 | 0.0739132 | 0.18612 | 0.243179 | -0.253609 | -0.312485 | -0.370557 |
| 8 | 0.121118 | 0.185608 | 0.242281 | -0.254724 | -0.31236 | -0.363635 | -0.414321 | -0.470692 |
| 9 | 0.182199 | 0.241465 | -0.255817 | -0.306135 | -0.362973 | -0.420576 | -0.47089 | -0.537261 | -0.624382 |
| 10 | 0.238995 | -0.252223 | -0.307972 | -0.364353 | -0.421461 | -0.472331 | -0.538481 | -0.625184 | -0.732845 | -0.853996 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.060072 |
| 2 | -0.0634531 | -0.572322 |
| 3 | -0.0639119 | -0.572201 | -0.551878 |
| 4 | -0.0675757 | -0.551815 | -0.429531 | -0.201987 |
| 5 | -0.0699666 | -0.426151 | -0.199988 | 0.0680385 | 0.371113 |
| 6 | -0.00487998 | -0.199766 | 0.0673797 | 0.368993 | 0.485546 | -0.507226 |
| 7 | 0.116264 | 0.0678708 | 0.367772 | 0.481737 | -0.507217 | -0.62497 | -0.741114 |
| 8 | 0.23766 | 0.36698 | 0.479985 | -0.509448 | -0.624719 | -0.727269 | -0.828641 | -0.941384 |
| 9 | 0.360051 | 0.478395 | -0.511634 | -0.612269 | -0.725946 | -0.841151 | -0.941781 | -1.07452 | -1.24876 |
| 10 | 0.472565 | -0.504447 | -0.615944 | -0.728706 | -0.842923 | -0.944662 | -1.07696 | -1.25037 | -1.46569 | -1.70799 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.485376 | 0.485376 | 0.485376 | 0.609056 | 0.609056 | 0.609056 |
| 2,2 | -0.148382 | -0.0829123 | -0.0829123 | -0.153767 | -0.0782034 | -0.0782034 |
| 3,3 | -0.196681 | -0.131053 | -0.131053 | -0.205629 | -0.129353 | -0.129353 |
| 4,4 | -0.225399 | -0.159493 | -0.159493 | -0.258075 | -0.18147 | -0.18147 |
| 5,5 | -0.247255 | -0.182881 | -0.182881 | -0.31699 | -0.27218 | -0.27218 |
| 6,6 | -0.266533 | -0.200001 | -0.200001 | -0.267752 | -0.190382 | -0.190382 |
| 7,7 | -0.210318 | -0.143395 | -0.144386 | -0.198392 | -0.120512 | -0.121761 |
| 8,8 | -0.0399335 | 0.0244673 | 0.0244673 | -0.000539125 | 0.0742647 | 0.0742647 |
| 9,9 | 0.148088 | 0.183409 | 0.183409 | 0.153617 | 0.1946 | 0.1946 |
| 10,10 | 0.353376 | 0.353376 | 0.353376 | 0.117764 | 0.117764 | 0.117764 |
Dealer Up Card 3
Dealer hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.243667 |
| 2 | -0.244669 | -0.245684 |
| 3 | -0.244577 | -0.245572 | -0.245459 |
| 4 | -0.242023 | -0.243009 | -0.242895 | -0.240331 |
| 5 | -0.24162 | -0.242607 | -0.242492 | -0.239917 | -0.239514 |
| 6 | -0.116126 | -0.243095 | -0.242959 | -0.240406 | -0.240003 | -0.240493 |
| 7 | 0.141584 | -0.243573 | -0.243458 | -0.240906 | -0.240504 | -0.240992 | -0.241517 |
| 8 | 0.399787 | -0.244251 | -0.244136 | -0.241586 | -0.241182 | -0.241698 | -0.242197 | -0.242877 |
| 9 | 0.645253 | -0.248181 | -0.248068 | -0.245516 | -0.245138 | -0.245627 | -0.246128 | -0.120408 | 0.134755 |
| 10 | 1.5 | -0.248922 | -0.24881 | -0.246282 | -0.245878 | -0.246368 | -0.120447 | 0.137849 | 0.394038 | 0.643635 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.10445 |
| 2 | 0.0737707 | -0.0801258 |
| 3 | 0.050358 | -0.0932014 | -0.105892 |
| 4 | 0.0290754 | -0.10422 | -0.0769817 | 0.00933559 |
| 5 | 0.00833874 | -0.0741599 | 0.00806692 | 0.1059 | 0.212595 |
| 6 | 0.0292124 | 0.0083718 | 0.105446 | 0.211891 | 0.268159 | -0.232219 |
| 7 | 0.0882309 | 0.104036 | 0.211211 | 0.266757 | -0.232183 | -0.294107 | -0.356297 |
| 8 | 0.15106 | 0.21034 | 0.265234 | -0.233324 | -0.294245 | -0.349657 | -0.403931 | -0.463614 |
| 9 | 0.203437 | 0.261295 | -0.237301 | -0.290023 | -0.350845 | -0.411793 | -0.46492 | -0.53398 | -0.623778 |
| 10 | 0.261371 | -0.231677 | -0.290528 | -0.350815 | -0.411423 | -0.465336 | -0.5342 | -0.623183 | -0.726003 | -0.853716 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.00558634 |
| 2 | 0.00196256 | -0.491368 |
| 3 | -0.000571206 | -0.491144 | -0.471414 |
| 4 | -0.00223047 | -0.466757 | -0.349532 | -0.128366 |
| 5 | -0.0060821 | -0.34773 | -0.128591 | 0.131414 | 0.423862 |
| 6 | 0.0571772 | -0.128417 | 0.130049 | 0.42246 | 0.53507 | -0.464437 |
| 7 | 0.175216 | 0.130523 | 0.420855 | 0.532269 | -0.464366 | -0.588214 | -0.712593 |
| 8 | 0.300698 | 0.419212 | 0.528986 | -0.466647 | -0.588489 | -0.699313 | -0.807862 | -0.927228 |
| 9 | 0.405274 | 0.52099 | -0.474602 | -0.580047 | -0.70169 | -0.823587 | -0.929839 | -1.06796 | -1.24756 |
| 10 | 0.520287 | -0.463354 | -0.581056 | -0.701631 | -0.822847 | -0.930672 | -1.0684 | -1.24637 | -1.45201 | -1.70743 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.532737 | 0.532737 | 0.532737 | 0.65752 | 0.65752 | 0.65752 |
| 2,2 | -0.0946004 | -0.0168848 | -0.021354 | -0.0968637 | -0.00648044 | -0.0117508 |
| 3,3 | -0.132284 | -0.0543344 | -0.058274 | -0.136077 | -0.0461107 | -0.0506763 |
| 4,4 | -0.154549 | -0.0755076 | -0.0797971 | -0.180665 | -0.0887304 | -0.0937619 |
| 5,5 | -0.179592 | -0.102635 | -0.107053 | -0.242427 | -0.187479 | -0.192677 |
| 6,6 | -0.197755 | -0.11356 | -0.122591 | -0.191333 | -0.0932857 | -0.103929 |
| 7,7 | -0.14294 | -0.0590709 | -0.0696061 | -0.126764 | -0.0290842 | -0.0415159 |
| 8,8 | 0.0211112 | 0.0934801 | 0.0934801 | 0.0637379 | 0.147814 | 0.147814 |
| 9,9 | 0.194445 | 0.234416 | 0.234416 | 0.20363 | 0.249953 | 0.249953 |
| 10,10 | 0.401859 | 0.401859 | 0.401859 | 0.197592 | 0.197592 | 0.197592 |
Dealer Up Card 4
Dealer hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.200841 |
| 2 | -0.201766 | -0.202664 |
| 3 | -0.199215 | -0.200104 | -0.197543 |
| 4 | -0.198765 | -0.199654 | -0.197094 | -0.196631 |
| 5 | -0.198414 | -0.199304 | -0.196733 | -0.196282 | -0.195931 |
| 6 | -0.076356 | -0.199757 | -0.197207 | -0.196756 | -0.196406 | -0.196879 |
| 7 | 0.171028 | -0.20046 | -0.197911 | -0.19746 | -0.19711 | -0.19761 | -0.198315 |
| 8 | 0.41557 | -0.204386 | -0.201838 | -0.201386 | -0.201061 | -0.201536 | -0.202241 | -0.206168 |
| 9 | 0.655844 | -0.2052 | -0.202651 | -0.202225 | -0.201874 | -0.202349 | -0.203055 | -0.0839829 | 0.164403 |
| 10 | 1.5 | -0.205906 | -0.203381 | -0.202929 | -0.202579 | -0.203054 | -0.0808299 | 0.164363 | 0.413068 | 0.654268 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.129292 |
| 2 | 0.104348 | -0.0443922 |
| 3 | 0.0827772 | -0.0553702 | -0.0656915 |
| 4 | 0.0607568 | -0.0670207 | -0.0384136 | 0.0463221 |
| 5 | 0.0409794 | -0.0374247 | 0.0446371 | 0.137091 | 0.239694 |
| 6 | 0.0616479 | 0.0437585 | 0.136632 | 0.239378 | 0.293528 | -0.210302 |
| 7 | 0.122397 | 0.133799 | 0.238375 | 0.292149 | -0.210554 | -0.275533 | -0.341577 |
| 8 | 0.176002 | 0.233347 | 0.287632 | -0.213959 | -0.277746 | -0.336519 | -0.394686 | -0.45879 |
| 9 | 0.229437 | 0.285534 | -0.215698 | -0.271755 | -0.336208 | -0.40103 | -0.457708 | -0.530808 | -0.615147 |
| 10 | 0.28513 | -0.210664 | -0.27223 | -0.33622 | -0.400721 | -0.457943 | -0.529979 | -0.615157 | -0.724937 | -0.853474 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.0736717 |
| 2 | 0.0706335 | -0.405328 |
| 3 | 0.0697153 | -0.400209 | -0.37661 |
| 4 | 0.0652779 | -0.380344 | -0.262411 | -0.0509313 |
| 5 | 0.0615356 | -0.265089 | -0.0512061 | 0.197965 | 0.479388 |
| 6 | 0.123296 | -0.054037 | 0.197034 | 0.478756 | 0.587055 | -0.420603 |
| 7 | 0.244795 | 0.194283 | 0.476749 | 0.584299 | -0.421107 | -0.551066 | -0.683155 |
| 8 | 0.352005 | 0.466693 | 0.575263 | -0.427918 | -0.555493 | -0.673038 | -0.789372 | -0.91758 |
| 9 | 0.458874 | 0.571067 | -0.431396 | -0.54351 | -0.672417 | -0.802061 | -0.915416 | -1.06162 | -1.23029 |
| 10 | 0.570259 | -0.421328 | -0.544461 | -0.67244 | -0.801442 | -0.915887 | -1.05996 | -1.23031 | -1.44987 | -1.70695 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.5823 | 0.5823 | 0.5823 | 0.708136 | 0.708136 | 0.708136 |
| 2,2 | -0.0339407 | 0.0568277 | 0.0470924 | -0.032213 | 0.0733092 | 0.0619307 |
| 3,3 | -0.0548707 | 0.0371524 | 0.0275152 | -0.0527974 | 0.0541757 | 0.0429477 |
| 4,4 | -0.0801816 | 0.0140304 | 0.00326638 | -0.0993184 | 0.00948644 | -0.00299122 |
| 5,5 | -0.104581 | -0.0109645 | -0.0237811 | -0.159657 | -0.0900291 | -0.104944 |
| 6,6 | -0.121956 | -0.0194242 | -0.0395892 | -0.109368 | 0.00999319 | -0.0135916 |
| 7,7 | -0.0694564 | 0.0341413 | 0.0120446 | -0.0483196 | 0.0722656 | 0.0464147 |
| 8,8 | 0.0789358 | 0.15957 | 0.15957 | 0.124783 | 0.21832 | 0.21832 |
| 9,9 | 0.254001 | 0.297967 | 0.297967 | 0.268082 | 0.319036 | 0.319036 |
| 10,10 | 0.452344 | 0.452344 | 0.452344 | 0.280412 | 0.280412 | 0.280412 |
Dealer Up Card 5
Dealer hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.158751 |
| 2 | -0.157113 | -0.155452 |
| 3 | -0.156687 | -0.155026 | -0.1546 |
| 4 | -0.15629 | -0.154631 | -0.154193 | -0.153795 |
| 5 | -0.155945 | -0.154275 | -0.153847 | -0.153449 | -0.153103 |
| 6 | -0.0384731 | -0.154972 | -0.154545 | -0.154148 | -0.153801 | -0.154527 |
| 7 | 0.198998 | -0.158922 | -0.158495 | -0.158097 | -0.157776 | -0.158476 | -0.162425 |
| 8 | 0.439914 | -0.159743 | -0.159316 | -0.158943 | -0.158596 | -0.159297 | -0.163247 | -0.164068 |
| 9 | 0.670408 | -0.160457 | -0.160055 | -0.159657 | -0.15931 | -0.160011 | -0.163961 | -0.0461383 | 0.195524 |
| 10 | 1.5 | -0.161126 | -0.160698 | -0.160301 | -0.159954 | -0.160655 | -0.0459859 | 0.195534 | 0.437502 | 0.668927 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.160827 |
| 2 | 0.137618 | -0.00378124 |
| 3 | 0.11616 | -0.0156895 | -0.0267744 |
| 4 | 0.0949275 | -0.0267611 | 0.00153498 | 0.0828153 |
| 5 | 0.0752886 | 0.00273353 | 0.0808169 | 0.170984 | 0.269829 |
| 6 | 0.0986894 | 0.0793024 | 0.169339 | 0.26864 | 0.320525 | -0.188677 |
| 7 | 0.151132 | 0.163419 | 0.264025 | 0.315817 | -0.190982 | -0.259535 | -0.329707 |
| 8 | 0.206222 | 0.262222 | 0.31395 | -0.192389 | -0.259746 | -0.32134 | -0.384186 | -0.450829 |
| 9 | 0.257717 | 0.312258 | -0.19404 | -0.253758 | -0.320829 | -0.388976 | -0.450802 | -0.518963 | -0.611797 |
| 10 | 0.311068 | -0.188759 | -0.254211 | -0.320872 | -0.388494 | -0.449718 | -0.518957 | -0.611809 | -0.723459 | -0.853117 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.141839 |
| 2 | 0.14103 | -0.310904 |
| 3 | 0.139628 | -0.310052 | -0.29092 |
| 4 | 0.134921 | -0.291219 | -0.179553 | 0.0269244 |
| 5 | 0.130267 | -0.180919 | 0.0258544 | 0.268497 | 0.539658 |
| 6 | 0.197379 | 0.0223249 | 0.265167 | 0.537279 | 0.641051 | -0.377354 |
| 7 | 0.302263 | 0.256391 | 0.528049 | 0.631635 | -0.381963 | -0.519071 | -0.659414 |
| 8 | 0.412443 | 0.524444 | 0.6279 | -0.384777 | -0.519491 | -0.642681 | -0.768371 | -0.901657 |
| 9 | 0.515435 | 0.624515 | -0.38808 | -0.507517 | -0.641658 | -0.777952 | -0.901604 | -1.03793 | -1.22359 |
| 10 | 0.622136 | -0.377518 | -0.508422 | -0.641745 | -0.776988 | -0.899435 | -1.03791 | -1.22362 | -1.44692 | -1.70623 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.633712 | 0.633712 | 0.633712 | 0.761021 | 0.761021 | 0.761021 |
| 2,2 | 0.0449779 | 0.150794 | 0.134865 | 0.0529523 | 0.176065 | 0.157397 |
| 3,3 | 0.020346 | 0.13029 | 0.11093 | 0.0282708 | 0.156144 | 0.133546 |
| 4,4 | -0.00395228 | 0.109385 | 0.0878531 | -0.017778 | 0.114031 | 0.0889423 |
| 5,5 | -0.0278345 | 0.0843985 | 0.0598909 | -0.073115 | 0.0144587 | -0.0138594 |
| 6,6 | -0.0455893 | 0.0766061 | 0.0451464 | -0.0275419 | 0.114663 | 0.0779667 |
| 7,7 | -0.00521673 | 0.115691 | 0.0849475 | 0.0201734 | 0.1606 | 0.124844 |
| 8,8 | 0.147887 | 0.237071 | 0.237071 | 0.198017 | 0.301472 | 0.301472 |
| 9,9 | 0.31808 | 0.366201 | 0.366201 | 0.337437 | 0.393214 | 0.393214 |
| 10,10 | 0.509213 | 0.509213 | 0.509213 | 0.372315 | 0.372315 | 0.372315 |
Dealer Up Card 6
Dealer hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.115159 |
| 2 | -0.115391 | -0.115611 |
| 3 | -0.114998 | -0.115219 | -0.114816 |
| 4 | -0.114635 | -0.114844 | -0.11445 | -0.114084 |
| 5 | -0.114523 | -0.114751 | -0.114357 | -0.113992 | -0.113899 |
| 6 | -0.00499167 | -0.118703 | -0.118309 | -0.117943 | -0.117876 | -0.121827 |
| 7 | 0.222598 | -0.119527 | -0.119133 | -0.118792 | -0.118699 | -0.12265 | -0.123475 |
| 8 | 0.45222 | -0.120237 | -0.119868 | -0.119502 | -0.119409 | -0.123361 | -0.124186 | -0.124862 |
| 9 | 0.677575 | -0.120933 | -0.120539 | -0.120173 | -0.12008 | -0.124033 | -0.124822 | -0.00995509 | 0.220168 |
| 10 | 1.5 | -0.121479 | -0.121086 | -0.12072 | -0.120627 | -0.124544 | -0.00981593 | 0.220261 | 0.450523 | 0.67659 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.189536 |
| 2 | 0.166485 | 0.0302303 |
| 3 | 0.146111 | 0.0192558 | 0.00987832 |
| 4 | 0.126272 | 0.00988102 | 0.0358243 | 0.113365 |
| 5 | 0.110738 | 0.0371079 | 0.111453 | 0.19768 | 0.293773 |
| 6 | 0.126073 | 0.106754 | 0.192821 | 0.289479 | 0.339933 | -0.175211 |
| 7 | 0.178453 | 0.18959 | 0.287425 | 0.337927 | -0.173201 | -0.246688 | -0.317997 |
| 8 | 0.231045 | 0.285645 | 0.336073 | -0.174273 | -0.244828 | -0.311131 | -0.374794 | -0.43754 |
| 9 | 0.281487 | 0.334401 | -0.175904 | -0.238606 | -0.308835 | -0.380899 | -0.437547 | -0.515251 | -0.610063 |
| 10 | 0.333531 | -0.170569 | -0.239032 | -0.30864 | -0.37885 | -0.437508 | -0.515243 | -0.610054 | -0.722695 | -0.852918 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.206312 |
| 2 | 0.204215 | -0.231222 |
| 3 | 0.202974 | -0.230439 | -0.212063 |
| 4 | 0.199687 | -0.212121 | -0.10438 | 0.0929287 |
| 5 | 0.202017 | -0.105273 | 0.0920131 | 0.324478 | 0.587547 |
| 6 | 0.252146 | 0.082192 | 0.314736 | 0.578959 | 0.679865 | -0.350422 |
| 7 | 0.356906 | 0.31131 | 0.574849 | 0.675854 | -0.346403 | -0.493376 | -0.635994 |
| 8 | 0.462089 | 0.57129 | 0.672145 | -0.348546 | -0.489656 | -0.622262 | -0.749588 | -0.87508 |
| 9 | 0.562975 | 0.668802 | -0.351809 | -0.477213 | -0.617671 | -0.761798 | -0.875093 | -1.0305 | -1.22013 |
| 10 | 0.667063 | -0.341138 | -0.478064 | -0.61728 | -0.7577 | -0.875017 | -1.03049 | -1.22011 | -1.44539 | -1.70584 |
APPROXIMATE SPLITTING
RS means replitting allowed or not allowed.
DD means doubling down allowed after splitting on 'No' hands, on 'Any' two cards, or only on hands of '10&11'.
| RS | No | No | No | Yes | Yes | Yes |
| DD | No | Any | 10&11 | No | Any | 10&11 |
| 1,1 | 0.679649 | 0.679649 | 0.679649 | 0.807108 | 0.807108 | 0.807108 |
| 2,2 | 0.111104 | 0.234061 | 0.208187 | 0.124264 | 0.2673 | 0.237075 |
| 3,3 | 0.08742 | 0.213213 | 0.185214 | 0.100251 | 0.246558 | 0.21391 |
| 4,4 | 0.0640431 | 0.19297 | 0.160833 | 0.0562483 | 0.206204 | 0.168776 |
| 5,5 | 0.0407319 | 0.169289 | 0.134555 | 0.000165694 | 0.101476 | 0.0610837 |
| 6,6 | 0.0130438 | 0.149949 | 0.111201 | 0.0338576 | 0.191775 | 0.147068 |
| 7,7 | 0.0608445 | 0.197998 | 0.15803 | 0.0905477 | 0.249811 | 0.20336 |
| 8,8 | 0.207053 | 0.304855 | 0.303313 | 0.260366 | 0.37385 | 0.372034 |
| 9,9 | 0.369586 | 0.421148 | 0.421148 | 0.39324 | 0.453013 | 0.453013 |
| 10,10 | 0.555805 | 0.555805 | 0.555805 | 0.451278 | 0.451278 | 0.451278 |