[Home] → [Two Deck Tables]
Two Deck Blackjack Expected Values
The tables on this page give expected values for all blackjack options in a two 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 two-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 | -0.38030% | -0.25498% | -0.58675% | -0.48020% |
| Resplit, except Aces | -0.35319% | -0.21088% | -0.55964% | -0.43878% |
| Resplit aces too | -0.30041% | -0.15810% | -0.50687% | -0.38601% |
| Prohibit Splitting | -0.76117% |
-0.96853% |
Dealer hits soft 17
| Options | DD any two hands |
DD 10&11 only |
| ND | DD | ND | DD |
| Base - No Resplit | -0.58675% | -0.45574% | -0.79774% | -0.68936% |
| Resplit, except Aces | -0.55964% | -0.41196% | -0.77128% | -0.64835% |
| Resplit aces too | -0.50687% | -0.35957% | -0.71889% | -0.59596% |
| Prohibit Splitting | -0.95963% |
-1.17536% |
Expected Value Tables
These tables can be generated using the Blackjack software with the following commands and then combining the results.
Blackjack -SHDA -d2 -c 18 -o part1.txt
Blackjack -SHDA -d2 -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 | -0.665322 |
| 2 | -0.664614 | -0.663878 |
| 3 | -0.664036 | -0.6633 | -0.663014 |
| 4 | -0.663103 | -0.662672 | -0.662067 | -0.661113 |
| 5 | -0.66264 | -0.661891 | -0.661281 | -0.660323 | -0.659528 |
| 6 | -0.480381 | -0.653822 | -0.653202 | -0.652241 | -0.651264 | -0.643493 |
| 7 | -0.100502 | -0.656789 | -0.656175 | -0.655052 | -0.654283 | -0.646546 | -0.649594 |
| 8 | 0.283692 | -0.659759 | -0.658983 | -0.658064 | -0.657309 | -0.649598 | -0.652642 | -0.655627 |
| 9 | 0.667986 | -0.662505 | -0.66194 | -0.661026 | -0.660269 | -0.65259 | -0.655572 | -0.465326 | -0.0783746 |
| 10 | 1.5 | -0.670123 | -0.669563 | -0.66867 | -0.667926 | -0.660328 | -0.472735 | -0.091302 | 0.292376 | 0.652797 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.0258186 |
| 2 | -0.063824 | -0.25665 |
| 3 | -0.0991191 | -0.285815 | -0.319168 |
| 4 | -0.142985 | -0.319325 | -0.327702 | -0.202472 |
| 5 | -0.186015 | -0.321145 | -0.206673 | -0.0676983 | 0.08585 |
| 6 | -0.189766 | -0.211121 | -0.0724159 | 0.0812428 | 0.15724 | -0.368406 |
| 7 | -0.100359 | -0.0736225 | 0.0840469 | 0.156471 | -0.36307 | -0.419926 | -0.466588 |
| 8 | -0.011208 | 0.0839678 | 0.156258 | -0.362534 | -0.414176 | -0.446625 | -0.468091 | -0.506225 |
| 9 | 0.074708 | 0.155791 | -0.362141 | -0.389964 | -0.440271 | -0.487665 | -0.506503 | -0.55094 | -0.625411 |
| 10 | 0.147647 | -0.349577 | -0.394894 | -0.44232 | -0.489007 | -0.513042 | -0.556549 | -0.629699 | -0.733384 | -0.867286 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.611807 |
| 2 | -0.609422 | -1.32776 |
| 3 | -0.610526 | -1.3266 | -1.30053 |
| 4 | -0.622335 | -1.29993 | -1.1277 | -0.802584 |
| 5 | -0.639449 | -1.1273 | -0.801968 | -0.413789 | 0.0208187 |
| 6 | -0.533008 | -0.805273 | -0.417815 | 0.0162406 | 0.172433 | -0.833531 |
| 7 | -0.360929 | -0.418039 | 0.0119802 | 0.16339 | -0.832919 | -0.908861 | -0.979386 |
| 8 | -0.190715 | 0.00484681 | 0.155381 | -0.837471 | -0.904482 | -0.936751 | -0.956136 | -1.01245 |
| 9 | -0.0273432 | 0.147401 | -0.843287 | -0.859604 | -0.925624 | -0.995234 | -1.01301 | -1.10188 | -1.25082 |
| 10 | 0.126301 | -0.820297 | -0.8701 | -0.931519 | -0.997133 | -1.02608 | -1.1131 | -1.2594 | -1.46677 | -1.73457 |
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 | 0.164548 | 0.164548 | 0.164548 | 0.254273 | 0.254273 | 0.254273 |
| 2,2 | -0.417362 | -0.417362 | -0.417362 | -0.438153 | -0.438153 | -0.438153 |
| 3,3 | -0.465516 | -0.465516 | -0.465516 | -0.48348 | -0.48348 | -0.48348 |
| 4,4 | -0.526002 | -0.523107 | -0.523107 | -0.569073 | -0.565488 | -0.565488 |
| 5,5 | -0.599939 | -0.59538 | -0.59538 | -0.692528 | -0.687018 | -0.687018 |
| 6,6 | -0.623969 | -0.619154 | -0.619154 | -0.65658 | -0.650773 | -0.650773 |
| 7,7 | -0.615971 | -0.613467 | -0.613467 | -0.6324 | -0.629382 | -0.629382 |
| 8,8 | -0.367828 | -0.367828 | -0.367828 | -0.348707 | -0.348707 | -0.348707 |
| 9,9 | -0.102473 | -0.102473 | -0.102473 | -0.1048 | -0.1048 | -0.1048 |
| 10,10 | 0.131546 | 0.131546 | 0.131546 | -0.29978 | -0.29978 | -0.29978 |
Dealer Up Card 2
Dealer stands soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.283861 |
| 2 | -0.287971 | -0.291988 |
| 3 | -0.28813 | -0.29235 | -0.292519 |
| 4 | -0.287392 | -0.29134 | -0.291502 | -0.290476 |
| 5 | -0.279843 | -0.283789 | -0.283951 | -0.282926 | -0.27525 |
| 6 | -0.142686 | -0.285228 | -0.285364 | -0.28415 | -0.276682 | -0.278126 |
| 7 | 0.128632 | -0.286745 | -0.286694 | -0.285678 | -0.278223 | -0.279678 | -0.281209 |
| 8 | 0.393503 | -0.287955 | -0.288106 | -0.287107 | -0.279648 | -0.281081 | -0.28286 | -0.284275 |
| 9 | 0.647448 | -0.290042 | -0.290192 | -0.289193 | -0.281727 | -0.283416 | -0.284956 | -0.145083 | 0.129292 |
| 10 | 1.5 | -0.301916 | -0.302064 | -0.301062 | -0.293842 | -0.295283 | -0.155549 | 0.120145 | 0.385791 | 0.63365 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.0880375 |
| 2 | 0.0431163 | -0.114289 |
| 3 | 0.0197071 | -0.129507 | -0.145707 |
| 4 | -0.00564323 | -0.145046 | -0.114691 | -0.0164054 |
| 5 | -0.0264228 | -0.104573 | -0.0184621 | 0.0844682 | 0.202855 |
| 6 | 0.00314837 | -0.017231 | 0.083495 | 0.199749 | 0.260708 | -0.253132 |
| 7 | 0.0640716 | 0.079254 | 0.198063 | 0.255053 | -0.253046 | -0.319639 | -0.383725 |
| 8 | 0.121926 | 0.196786 | 0.252695 | -0.25648 | -0.319274 | -0.362539 | -0.404069 | -0.463092 |
| 9 | 0.186157 | 0.25035 | -0.259673 | -0.300446 | -0.360624 | -0.42329 | -0.463808 | -0.533426 | -0.624946 |
| 10 | 0.242549 | -0.248636 | -0.305893 | -0.365213 | -0.426093 | -0.468273 | -0.537254 | -0.627393 | -0.739082 | -0.851076 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.0457674 |
| 2 | -0.0567581 | -0.583977 |
| 3 | -0.0587736 | -0.5847 | -0.563233 |
| 4 | -0.0699753 | -0.561062 | -0.430416 | -0.192745 |
| 5 | -0.0770033 | -0.41908 | -0.185447 | 0.0879979 | 0.40207 |
| 6 | 0.00255583 | -0.184048 | 0.086626 | 0.395122 | 0.517674 | -0.506265 |
| 7 | 0.12354 | 0.088701 | 0.391768 | 0.505503 | -0.506093 | -0.639279 | -0.767451 |
| 8 | 0.239282 | 0.389972 | 0.500818 | -0.512959 | -0.638549 | -0.725079 | -0.808138 | -0.926185 |
| 9 | 0.368464 | 0.496302 | -0.519346 | -0.600893 | -0.721247 | -0.84658 | -0.927616 | -1.06685 | -1.24989 |
| 10 | 0.478266 | -0.497272 | -0.611786 | -0.730426 | -0.852185 | -0.936546 | -1.07451 | -1.25479 | -1.47816 | -1.70215 |
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 | 0.517051 | 0.517051 | 0.517051 | 0.62257 | 0.62257 | 0.62257 |
| 2,2 | -0.140723 | -0.0668529 | -0.0695475 | -0.143403 | -0.0611452 | -0.0643171 |
| 3,3 | -0.200175 | -0.127839 | -0.128686 | -0.206652 | -0.12446 | -0.125488 |
| 4,4 | -0.230667 | -0.157468 | -0.158435 | -0.258977 | -0.175801 | -0.176964 |
| 5,5 | -0.244071 | -0.175406 | -0.177136 | -0.302611 | -0.252133 | -0.254246 |
| 6,6 | -0.252332 | -0.176274 | -0.177949 | -0.25003 | -0.16341 | -0.165467 |
| 7,7 | -0.191524 | -0.116493 | -0.119053 | -0.179005 | -0.0936473 | -0.0967172 |
| 8,8 | -0.0151698 | 0.0523917 | 0.0523917 | 0.0208741 | 0.097472 | 0.097472 |
| 9,9 | 0.159543 | 0.193814 | 0.193814 | 0.163114 | 0.20187 | 0.20187 |
| 10,10 | 0.338546 | 0.338546 | 0.338546 | 0.08712 | 0.08712 | 0.08712 |
Dealer Up Card 3
Dealer stands soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.242021 |
| 2 | -0.246019 | -0.250141 |
| 3 | -0.245298 | -0.24915 | -0.248154 |
| 4 | -0.237872 | -0.241727 | -0.240719 | -0.233289 |
| 5 | -0.236409 | -0.240268 | -0.239262 | -0.231713 | -0.230232 |
| 6 | -0.105529 | -0.241599 | -0.240403 | -0.233051 | -0.23158 | -0.232945 |
| 7 | 0.157067 | -0.242992 | -0.241997 | -0.234648 | -0.233195 | -0.23454 | -0.236373 |
| 8 | 0.411522 | -0.245059 | -0.244071 | -0.236741 | -0.235265 | -0.236867 | -0.238466 | -0.240562 |
| 9 | 0.647448 | -0.257258 | -0.256278 | -0.248934 | -0.247705 | -0.249063 | -0.250671 | -0.118292 | 0.136895 |
| 10 | 1.5 | -0.259456 | -0.258473 | -0.251371 | -0.249898 | -0.251265 | -0.118078 | 0.146843 | 0.394575 | 0.643327 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.111397 |
| 2 | 0.0726236 | -0.0814192 |
| 3 | 0.0477843 | -0.095976 | -0.111121 |
| 4 | 0.0259486 | -0.106268 | -0.078107 | 0.0184544 |
| 5 | 0.00316957 | -0.0689298 | 0.0143109 | 0.120857 | 0.229862 |
| 6 | 0.0322924 | 0.0158631 | 0.119563 | 0.227652 | 0.286269 | -0.228296 |
| 7 | 0.0917498 | 0.115558 | 0.225624 | 0.281844 | -0.228124 | -0.297699 | -0.36822 |
| 8 | 0.160479 | 0.223138 | 0.277219 | -0.231695 | -0.298249 | -0.348022 | -0.394344 | -0.457223 |
| 9 | 0.201678 | 0.265096 | -0.244012 | -0.28558 | -0.351964 | -0.418669 | -0.461374 | -0.533478 | -0.628673 |
| 10 | 0.265419 | -0.226608 | -0.287062 | -0.35191 | -0.417521 | -0.462601 | -0.534054 | -0.626688 | -0.7205 | -0.850776 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.0235804 |
| 2 | 0.0115616 | -0.500281 |
| 3 | 0.00342271 | -0.4983 | -0.475816 |
| 4 | -0.00169683 | -0.463485 | -0.34039 | -0.108278 |
| 5 | -0.0129742 | -0.334666 | -0.108793 | 0.158383 | 0.458809 |
| 6 | 0.0640615 | -0.107412 | 0.154515 | 0.454387 | 0.572015 | -0.456591 |
| 7 | 0.182934 | 0.156613 | 0.449598 | 0.563124 | -0.456247 | -0.595397 | -0.736441 |
| 8 | 0.319854 | 0.444812 | 0.553175 | -0.46339 | -0.596497 | -0.696044 | -0.788688 | -0.914445 |
| 9 | 0.40162 | 0.528455 | -0.488025 | -0.57116 | -0.703928 | -0.837338 | -0.922747 | -1.06696 | -1.25735 |
| 10 | 0.526803 | -0.453215 | -0.574125 | -0.703821 | -0.835042 | -0.925202 | -1.06811 | -1.25338 | -1.441 | -1.70155 |
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 | 0.564482 | 0.564482 | 0.564482 | 0.670707 | 0.670707 | 0.670707 |
| 2,2 | -0.0845186 | 0.00139938 | -0.00624631 | -0.0847653 | 0.0129377 | 0.00406668 |
| 3,3 | -0.13131 | -0.044815 | -0.050664 | -0.132976 | -0.0368984 | -0.0434246 |
| 4,4 | -0.145578 | -0.0557256 | -0.0626483 | -0.166714 | -0.0645523 | -0.0725135 |
| 5,5 | -0.170727 | -0.0879442 | -0.0953398 | -0.22307 | -0.160694 | -0.169246 |
| 6,6 | -0.177479 | -0.0799931 | -0.0930515 | -0.168496 | -0.0573286 | -0.0725141 |
| 7,7 | -0.119858 | -0.027067 | -0.0415087 | -0.103652 | 0.00222259 | -0.0146515 |
| 8,8 | 0.046012 | 0.121468 | 0.121468 | 0.0842773 | 0.169881 | 0.169881 |
| 9,9 | 0.188392 | 0.228919 | 0.228919 | 0.194142 | 0.239825 | 0.239825 |
| 10,10 | 0.38889 | 0.38889 | 0.38889 | 0.170799 | 0.170799 | 0.170799 |
Dealer Up Card 4
Dealer stands soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.195062 |
| 2 | -0.1983 | -0.201117 |
| 3 | -0.190888 | -0.193707 | -0.186291 |
| 4 | -0.189351 | -0.192171 | -0.184756 | -0.183112 |
| 5 | -0.188156 | -0.190986 | -0.183452 | -0.181887 | -0.180685 |
| 6 | -0.05945 | -0.192144 | -0.184807 | -0.183255 | -0.182061 | -0.183428 |
| 7 | 0.189355 | -0.194453 | -0.187122 | -0.185594 | -0.184384 | -0.185996 | -0.188334 |
| 8 | 0.419907 | -0.206627 | -0.199305 | -0.197753 | -0.19679 | -0.198166 | -0.200501 | -0.212673 |
| 9 | 0.657398 | -0.208998 | -0.201669 | -0.200359 | -0.199156 | -0.200532 | -0.202868 | -0.0823373 | 0.170851 |
| 10 | 1.5 | -0.211303 | -0.204216 | -0.202671 | -0.201463 | -0.202842 | -0.0726887 | 0.170305 | 0.413685 | 0.653133 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.134028 |
| 2 | 0.106243 | -0.0417648 |
| 3 | 0.0852048 | -0.0512886 | -0.0603876 |
| 4 | 0.0598929 | -0.0641054 | -0.0301588 | 0.0672172 |
| 5 | 0.0384398 | -0.026981 | 0.061992 | 0.158125 | 0.261478 |
| 6 | 0.0677965 | 0.0591964 | 0.156631 | 0.260417 | 0.316055 | -0.202616 |
| 7 | 0.136663 | 0.147757 | 0.257119 | 0.311606 | -0.203351 | -0.275956 | -0.351727 |
| 8 | 0.181043 | 0.241485 | 0.297574 | -0.213894 | -0.282888 | -0.336384 | -0.38815 | -0.458364 |
| 9 | 0.229848 | 0.291313 | -0.219254 | -0.264586 | -0.335434 | -0.407487 | -0.454803 | -0.533662 | -0.607518 |
| 10 | 0.290094 | -0.203909 | -0.266109 | -0.335691 | -0.406617 | -0.455539 | -0.53097 | -0.607589 | -0.719545 | -0.850614 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.0969658 |
| 2 | 0.0870993 | -0.402233 |
| 3 | 0.0838576 | -0.387413 | -0.35375 |
| 4 | 0.0708139 | -0.364064 | -0.232009 | -0.0136961 |
| 5 | 0.0595599 | -0.23981 | -0.014614 | 0.237089 | 0.522956 |
| 6 | 0.135593 | -0.0233292 | 0.234051 | 0.520834 | 0.632109 | -0.405233 |
| 7 | 0.273325 | 0.22548 | 0.514238 | 0.623212 | -0.406702 | -0.551912 | -0.703454 |
| 8 | 0.362086 | 0.482971 | 0.595148 | -0.427789 | -0.565776 | -0.672769 | -0.776299 | -0.916728 |
| 9 | 0.459697 | 0.582625 | -0.438508 | -0.529172 | -0.670869 | -0.814974 | -0.909607 | -1.06732 | -1.21504 |
| 10 | 0.580188 | -0.407818 | -0.532218 | -0.671383 | -0.813233 | -0.911078 | -1.06194 | -1.21518 | -1.43909 | -1.70123 |
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 | 0.616546 | 0.616546 | 0.616546 | 0.72335 | 0.72335 | 0.72335 |
| 2,2 | -0.0213332 | 0.0777559 | 0.0643684 | -0.01863 | 0.0939399 | 0.0785851 |
| 3,3 | -0.0329214 | 0.0700835 | 0.0570423 | -0.0284899 | 0.0884867 | 0.073626 |
| 4,4 | -0.0578708 | 0.0517517 | 0.0355521 | -0.071059 | 0.0508713 | 0.0327595 |
| 5,5 | -0.0830806 | 0.0172749 | 0.00123513 | -0.127883 | -0.0501558 | -0.0684128 |
| 6,6 | -0.0899391 | 0.0267008 | -0.000229716 | -0.0762793 | 0.0566449 | 0.0256909 |
| 7,7 | -0.0366682 | 0.079975 | 0.0503297 | -0.0156231 | 0.117274 | 0.0831869 |
| 8,8 | 0.0922428 | 0.176686 | 0.176686 | 0.132506 | 0.227931 | 0.227931 |
| 9,9 | 0.254659 | 0.299621 | 0.299621 | 0.264903 | 0.315601 | 0.315601 |
| 10,10 | 0.443019 | 0.443019 | 0.443019 | 0.260991 | 0.260991 | 0.260991 |
Dealer Up Card 5
Dealer stands soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.148301 |
| 2 | -0.143515 | -0.138595 |
| 3 | -0.142185 | -0.137274 | -0.135949 |
| 4 | -0.140905 | -0.136003 | -0.134557 | -0.133254 |
| 5 | -0.139777 | -0.13475 | -0.133406 | -0.13211 | -0.130965 |
| 6 | -0.0212501 | -0.137053 | -0.135708 | -0.134426 | -0.133275 | -0.135845 |
| 7 | 0.210518 | -0.149467 | -0.148136 | -0.14684 | -0.145932 | -0.148249 | -0.160661 |
| 8 | 0.449866 | -0.151938 | -0.150594 | -0.149544 | -0.148389 | -0.150711 | -0.163129 | -0.165601 |
| 9 | 0.676012 | -0.153851 | -0.152755 | -0.151461 | -0.150305 | -0.152631 | -0.165053 | -0.044564 | 0.201095 |
| 10 | 1.5 | -0.156154 | -0.154809 | -0.153519 | -0.152366 | -0.154693 | -0.0440551 | 0.20102 | 0.443429 | 0.67198 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.16924 |
| 2 | 0.145574 | 0.0105881 |
| 3 | 0.123718 | -0.00233127 | -0.0141888 |
| 4 | 0.0994304 | -0.0140629 | 0.0194785 | 0.110439 |
| 5 | 0.0772466 | 0.0232492 | 0.104298 | 0.200126 | 0.299561 |
| 6 | 0.114814 | 0.0995198 | 0.194917 | 0.295709 | 0.348473 | -0.178613 |
| 7 | 0.16098 | 0.176412 | 0.281189 | 0.3336 | -0.18581 | -0.263054 | -0.345179 |
| 8 | 0.214682 | 0.275645 | 0.327851 | -0.190121 | -0.263657 | -0.31952 | -0.37939 | -0.450917 |
| 9 | 0.261907 | 0.322873 | -0.195065 | -0.245298 | -0.317947 | -0.393815 | -0.450718 | -0.508274 | -0.603264 |
| 10 | 0.319067 | -0.178955 | -0.246726 | -0.318209 | -0.392463 | -0.447218 | -0.508232 | -0.603364 | -0.717644 | -0.850167 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.170637 |
| 2 | 0.16823 | -0.277191 |
| 3 | 0.163932 | -0.274548 | -0.25304 |
| 4 | 0.149697 | -0.253914 | -0.135851 | 0.078651 |
| 5 | 0.135929 | -0.140024 | 0.0753611 | 0.324679 | 0.599123 |
| 6 | 0.229628 | 0.0642135 | 0.314106 | 0.591418 | 0.696946 | -0.357226 |
| 7 | 0.32196 | 0.286537 | 0.562379 | 0.667199 | -0.371619 | -0.526108 | -0.690358 |
| 8 | 0.429365 | 0.551291 | 0.655703 | -0.380241 | -0.527313 | -0.63904 | -0.75878 | -0.901834 |
| 9 | 0.523814 | 0.645746 | -0.390131 | -0.490597 | -0.635895 | -0.78763 | -0.901435 | -1.01655 | -1.20653 |
| 10 | 0.638134 | -0.357911 | -0.493451 | -0.636418 | -0.784925 | -0.894436 | -1.01646 | -1.20673 | -1.43529 | -1.70033 |
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 | 0.672797 | 0.672797 | 0.672797 | 0.780844 | 0.780844 | 0.780844 |
| 2,2 | 0.0755 | 0.196387 | 0.172362 | 0.0843474 | 0.221896 | 0.19426 |
| 3,3 | 0.0556135 | 0.18248 | 0.154627 | 0.0656747 | 0.209911 | 0.178073 |
| 4,4 | 0.0320846 | 0.162788 | 0.135062 | 0.0219752 | 0.170572 | 0.138944 |
| 5,5 | 0.00677808 | 0.127026 | 0.0952079 | -0.024534 | 0.0749302 | 0.039497 |
| 6,6 | -0.00357945 | 0.136738 | 0.0956144 | 0.0151729 | 0.174949 | 0.127926 |
| 7,7 | 0.012595 | 0.146163 | 0.110265 | 0.0357383 | 0.187128 | 0.14632 |
| 8,8 | 0.165339 | 0.259895 | 0.259895 | 0.208946 | 0.315801 | 0.315801 |
| 9,9 | 0.326639 | 0.376614 | 0.376614 | 0.34237 | 0.398743 | 0.398743 |
| 10,10 | 0.504865 | 0.504865 | 0.504865 | 0.355516 | 0.355516 | 0.355516 |
Dealer Up Card 6
Dealer stands soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.129268 |
| 2 | -0.134355 | -0.139357 |
| 3 | -0.13318 | -0.138195 | -0.136926 |
| 4 | -0.132096 | -0.137013 | -0.135831 | -0.134736 |
| 5 | -0.131183 | -0.136188 | -0.135006 | -0.133918 | -0.133084 |
| 6 | 0.0120032 | -0.148395 | -0.147217 | -0.146119 | -0.14553 | -0.157726 |
| 7 | 0.27391 | -0.150676 | -0.149489 | -0.148626 | -0.147796 | -0.159999 | -0.162279 |
| 8 | 0.489571 | -0.152382 | -0.151438 | -0.150339 | -0.149507 | -0.161716 | -0.16403 | -0.165417 |
| 9 | 0.699584 | -0.154535 | -0.153351 | -0.152255 | -0.151425 | -0.163668 | -0.165618 | 0.00091216 | 0.27507 |
| 10 | 1.5 | -0.156818 | -0.155641 | -0.154543 | -0.153729 | -0.165608 | 0.00102411 | 0.276028 | 0.490271 | 0.700605 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.192311 |
| 2 | 0.16481 | 0.0216159 |
| 3 | 0.142659 | 0.00893294 | 0.000219919 |
| 4 | 0.118918 | 0.000278104 | 0.0438492 | 0.143985 |
| 5 | 0.107088 | 0.048935 | 0.138577 | 0.22839 | 0.323497 |
| 6 | 0.131285 | 0.123995 | 0.213436 | 0.309327 | 0.356848 | -0.181043 |
| 7 | 0.192289 | 0.203411 | 0.30291 | 0.349631 | -0.174154 | -0.25697 | -0.332449 |
| 8 | 0.240709 | 0.297625 | 0.344733 | -0.177017 | -0.251039 | -0.311433 | -0.363854 | -0.414294 |
| 9 | 0.284227 | 0.339941 | -0.181639 | -0.231913 | -0.304513 | -0.382634 | -0.414394 | -0.49642 | -0.597222 |
| 10 | 0.337395 | -0.165123 | -0.232503 | -0.304424 | -0.376364 | -0.414113 | -0.496273 | -0.597068 | -0.714945 | -0.849453 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.213109 |
| 2 | 0.204563 | -0.278715 |
| 3 | 0.200079 | -0.27639 | -0.249373 |
| 4 | 0.189631 | -0.249561 | -0.099087 | 0.137949 |
| 5 | 0.197578 | -0.100543 | 0.136682 | 0.377777 | 0.646993 |
| 6 | 0.262569 | 0.106321 | 0.347835 | 0.618654 | 0.713696 | -0.362087 |
| 7 | 0.384579 | 0.337949 | 0.60582 | 0.699262 | -0.348309 | -0.513939 | -0.664898 |
| 8 | 0.481418 | 0.59525 | 0.689467 | -0.354034 | -0.502079 | -0.622866 | -0.727707 | -0.828588 |
| 9 | 0.568454 | 0.679882 | -0.363278 | -0.463826 | -0.609025 | -0.765268 | -0.828789 | -0.99284 | -1.19444 |
| 10 | 0.674791 | -0.330246 | -0.465006 | -0.608848 | -0.752728 | -0.828226 | -0.992546 | -1.19414 | -1.42989 | -1.69891 |
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 | 0.712562 | 0.712562 | 0.712562 | 0.822217 | 0.822217 | 0.822217 |
| 2,2 | 0.101677 | 0.23622 | 0.205116 | 0.112595 | 0.265706 | 0.229995 |
| 3,3 | 0.0791917 | 0.215341 | 0.184734 | 0.0905487 | 0.245373 | 0.210387 |
| 4,4 | 0.0521913 | 0.19194 | 0.153987 | 0.0402204 | 0.199142 | 0.155879 |
| 5,5 | 0.0268412 | 0.15955 | 0.118699 | -0.0121216 | 0.0935014 | 0.0470441 |
| 6,6 | -0.0163609 | 0.133284 | 0.0904223 | -0.000533631 | 0.165532 | 0.117937 |
| 7,7 | 0.0583208 | 0.201342 | 0.161718 | 0.087651 | 0.249704 | 0.204675 |
| 8,8 | 0.231878 | 0.332625 | 0.332625 | 0.28426 | 0.398122 | 0.398122 |
| 9,9 | 0.377061 | 0.429729 | 0.429729 | 0.389554 | 0.44897 | 0.44897 |
| 10,10 | 0.548677 | 0.548677 | 0.548677 | 0.411672 | 0.411672 | 0.411672 |
Dealer Up Card 7
Dealer stands or hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.464261 |
| 2 | -0.468732 | -0.473143 |
| 3 | -0.467811 | -0.472119 | -0.471189 |
| 4 | -0.46667 | -0.47106 | -0.470122 | -0.469075 |
| 5 | -0.471345 | -0.475744 | -0.474809 | -0.473738 | -0.478644 |
| 6 | -0.0979899 | -0.478031 | -0.477079 | -0.476255 | -0.480916 | -0.483194 |
| 7 | 0.406211 | -0.480113 | -0.479404 | -0.478343 | -0.483004 | -0.485288 | -0.487416 |
| 8 | 0.615245 | -0.481516 | -0.480568 | -0.47951 | -0.484173 | -0.486492 | -0.488255 | -0.489491 |
| 9 | 0.773306 | -0.484204 | -0.483263 | -0.482203 | -0.486883 | -0.488837 | -0.490997 | -0.115314 | 0.399873 |
| 10 | 1.5 | -0.474069 | -0.473129 | -0.472085 | -0.476583 | -0.478933 | -0.113423 | 0.394125 | 0.613132 | 0.769342 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.162012 |
| 2 | 0.11542 | -0.0899616 |
| 3 | 0.0703609 | -0.119475 | -0.157778 |
| 4 | 0.0352413 | -0.157582 | -0.0697343 | 0.0958151 |
| 5 | -0.0140478 | -0.0682458 | 0.0872275 | 0.185695 | 0.267524 |
| 6 | 0.0565717 | 0.0872737 | 0.184615 | 0.271053 | 0.295496 | -0.237102 |
| 7 | 0.173677 | 0.178602 | 0.267143 | 0.293804 | -0.233995 | -0.298211 | -0.353743 |
| 8 | 0.221501 | 0.262056 | 0.292116 | -0.228519 | -0.297051 | -0.334295 | -0.347658 | -0.39513 |
| 9 | 0.250001 | 0.290775 | -0.229396 | -0.271343 | -0.334046 | -0.366618 | -0.395393 | -0.466834 | -0.578992 |
| 10 | 0.289207 | -0.212296 | -0.269685 | -0.331372 | -0.367207 | -0.395986 | -0.467984 | -0.579526 | -0.707224 | -0.847556 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.161064 |
| 2 | -0.170646 | -0.946285 |
| 3 | -0.179067 | -0.944238 | -0.88262 |
| 4 | -0.163232 | -0.882431 | -0.566481 | -0.149154 |
| 5 | -0.185731 | -0.577814 | -0.160229 | 0.146485 | 0.429427 |
| 6 | 0.000677027 | -0.167517 | 0.139619 | 0.433497 | 0.482821 | -0.549126 |
| 7 | 0.230735 | 0.132272 | 0.419128 | 0.476435 | -0.542893 | -0.647042 | -0.741839 |
| 8 | 0.32223 | 0.404348 | 0.4678 | -0.534108 | -0.644387 | -0.699743 | -0.708659 | -0.790259 |
| 9 | 0.372549 | 0.459573 | -0.541524 | -0.593311 | -0.696404 | -0.746713 | -0.790786 | -0.933668 | -1.15798 |
| 10 | 0.465413 | -0.501185 | -0.585144 | -0.68685 | -0.742763 | -0.791972 | -0.935968 | -1.15905 | -1.41445 | -1.69511 |
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 | 0.501347 | 0.501347 | 0.501347 | 0.62857 | 0.62857 | 0.62857 |
| 2,2 | -0.053836 | -0.000928402 | -0.000928402 | -0.0490917 | 0.011393 | 0.011393 |
| 3,3 | -0.11552 | -0.0626217 | -0.0626217 | -0.108659 | -0.0481474 | -0.0481474 |
| 4,4 | -0.197625 | -0.141876 | -0.141876 | -0.238268 | -0.174454 | -0.174454 |
| 5,5 | -0.266946 | -0.214819 | -0.214819 | -0.340498 | -0.304226 | -0.304226 |
| 6,6 | -0.289078 | -0.231642 | -0.231642 | -0.294314 | -0.228905 | -0.228905 |
| 7,7 | -0.130546 | -0.0782986 | -0.0782986 | -0.105058 | -0.047223 | -0.047223 |
| 8,8 | 0.184075 | 0.231816 | 0.231816 | 0.259625 | 0.313267 | 0.313267 |
| 9,9 | 0.342372 | 0.366775 | 0.366775 | 0.334687 | 0.361948 | 0.361948 |
| 10,10 | 0.498351 | 0.498351 | 0.498351 | 0.276375 | 0.276375 | 0.276375 |
Dealer Up Card 8
Dealer stands or hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.505189 |
| 2 | -0.509038 | -0.512714 |
| 3 | -0.507898 | -0.511664 | -0.510602 |
| 4 | -0.512353 | -0.516122 | -0.515063 | -0.519505 |
| 5 | -0.512296 | -0.516059 | -0.514988 | -0.519673 | -0.519589 |
| 6 | -0.383757 | -0.51775 | -0.516927 | -0.521368 | -0.521285 | -0.522987 |
| 7 | 0.112711 | -0.519528 | -0.518464 | -0.52291 | -0.52283 | -0.524566 | -0.525781 |
| 8 | 0.600309 | -0.522226 | -0.521169 | -0.525614 | -0.52555 | -0.526923 | -0.528533 | -0.531286 |
| 9 | 0.788331 | -0.512099 | -0.511043 | -0.515505 | -0.51526 | -0.517028 | -0.518639 | -0.398522 | 0.085625 |
| 10 | 1.5 | -0.513895 | -0.512852 | -0.517131 | -0.517084 | -0.518852 | -0.388541 | 0.100441 | 0.585476 | 0.787591 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.0937235 |
| 2 | 0.0470923 | -0.151141 |
| 3 | 0.0233642 | -0.184992 | -0.223474 |
| 4 | -0.0311715 | -0.225061 | -0.218958 | -0.057427 |
| 5 | -0.0749522 | -0.213954 | -0.0585208 | 0.103089 | 0.20272 |
| 6 | -0.0692304 | -0.0578713 | 0.107275 | 0.202873 | 0.230293 | -0.295476 |
| 7 | 0.0436758 | 0.102664 | 0.206785 | 0.226186 | -0.295155 | -0.357661 | -0.389533 |
| 8 | 0.15449 | 0.201999 | 0.225495 | -0.294556 | -0.354027 | -0.37056 | -0.398844 | -0.442962 |
| 9 | 0.185043 | 0.222775 | -0.293204 | -0.330989 | -0.3709 | -0.418707 | -0.443663 | -0.491245 | -0.579074 |
| 10 | 0.225584 | -0.272918 | -0.326012 | -0.364851 | -0.417242 | -0.442171 | -0.490539 | -0.578564 | -0.705728 | -0.847237 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.305396 |
| 2 | -0.313413 | -1.02543 |
| 3 | -0.285539 | -1.02333 | -1.00076 |
| 4 | -0.314136 | -1.01179 | -0.847889 | -0.449287 |
| 5 | -0.322914 | -0.849797 | -0.44012 | -0.0124213 | 0.305454 |
| 6 | -0.243292 | -0.445343 | -0.00695786 | 0.301684 | 0.358694 | -0.661531 |
| 7 | -0.0239376 | -0.0111798 | 0.30537 | 0.345736 | -0.661379 | -0.764108 | -0.810925 |
| 8 | 0.191933 | 0.289844 | 0.34064 | -0.665672 | -0.7573 | -0.770247 | -0.810584 | -0.885925 |
| 9 | 0.25878 | 0.339415 | -0.658421 | -0.707004 | -0.763867 | -0.84832 | -0.887326 | -0.98249 | -1.15815 |
| 10 | 0.341862 | -0.620728 | -0.698186 | -0.753157 | -0.842575 | -0.884343 | -0.981079 | -1.15713 | -1.41146 | -1.69447 |
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 | 0.378075 | 0.378075 | 0.378075 | 0.494799 | 0.494799 | 0.494799 |
| 2,2 | -0.208836 | -0.174935 | -0.174935 | -0.216218 | -0.177309 | -0.177309 |
| 3,3 | -0.264676 | -0.229164 | -0.229164 | -0.268611 | -0.227787 | -0.227787 |
| 4,4 | -0.329897 | -0.29259 | -0.29259 | -0.367091 | -0.32435 | -0.32435 |
| 5,5 | -0.409927 | -0.374665 | -0.374665 | -0.493759 | -0.468502 | -0.468502 |
| 6,6 | -0.425245 | -0.387115 | -0.387115 | -0.441082 | -0.397478 | -0.397478 |
| 7,7 | -0.423697 | -0.388898 | -0.388898 | -0.426401 | -0.386887 | -0.386887 |
| 8,8 | -0.109412 | -0.0798888 | -0.0798888 | -0.0740226 | -0.0415937 | -0.0415937 |
| 9,9 | 0.187257 | 0.204642 | 0.204642 | 0.201492 | 0.220944 | 0.220944 |
| 10,10 | 0.374847 | 0.374847 | 0.374847 | 0.0381584 | 0.0381584 | 0.0381584 |
Dealer Up Card 9
Dealer stands or hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.527616 |
| 2 | -0.530702 | -0.533796 |
| 3 | -0.535194 | -0.538281 | -0.542765 |
| 4 | -0.534957 | -0.538044 | -0.542516 | -0.54251 |
| 5 | -0.534608 | -0.537681 | -0.542395 | -0.542137 | -0.541764 |
| 6 | -0.415301 | -0.539807 | -0.544275 | -0.544019 | -0.543651 | -0.545572 |
| 7 | -0.18137 | -0.542119 | -0.546594 | -0.546339 | -0.545988 | -0.547545 | -0.549913 |
| 8 | 0.287702 | -0.532 | -0.536478 | -0.53624 | -0.535707 | -0.53766 | -0.540028 | -0.530143 |
| 9 | 0.761849 | -0.533804 | -0.538295 | -0.537875 | -0.53754 | -0.539493 | -0.541862 | -0.417488 | -0.189527 |
| 10 | 1.5 | -0.5355 | -0.539809 | -0.539587 | -0.539252 | -0.541205 | -0.419976 | -0.189406 | 0.276287 | 0.751376 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.00120715 |
| 2 | -0.0264972 | -0.232011 |
| 3 | -0.0677801 | -0.264663 | -0.300815 |
| 4 | -0.112901 | -0.298422 | -0.294789 | -0.208847 |
| 5 | -0.157257 | -0.285435 | -0.213994 | -0.0521647 | 0.117198 |
| 6 | -0.142237 | -0.20927 | -0.0516945 | 0.117088 | 0.155447 | -0.362092 |
| 7 | -0.0938893 | -0.0522029 | 0.117026 | 0.154012 | -0.363849 | -0.402296 | -0.452235 |
| 8 | 0.00644856 | 0.11794 | 0.149199 | -0.366689 | -0.399877 | -0.433777 | -0.457744 | -0.498373 |
| 9 | 0.106504 | 0.150757 | -0.365198 | -0.376489 | -0.428554 | -0.47541 | -0.496081 | -0.542975 | -0.605915 |
| 10 | 0.153536 | -0.342118 | -0.373504 | -0.422586 | -0.473409 | -0.49473 | -0.540537 | -0.605222 | -0.706964 | -0.846569 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.439365 |
| 2 | -0.415935 | -1.06759 |
| 3 | -0.425809 | -1.07656 | -1.0665 |
| 4 | -0.439725 | -1.05703 | -0.951743 | -0.709968 |
| 5 | -0.454436 | -0.942305 | -0.710402 | -0.290132 | 0.159119 |
| 6 | -0.373972 | -0.705207 | -0.294881 | 0.154562 | 0.23428 | -0.775819 |
| 7 | -0.2734 | -0.288469 | 0.148805 | 0.226106 | -0.780357 | -0.837776 | -0.926791 |
| 8 | -0.0672121 | 0.158168 | 0.221597 | -0.78401 | -0.827419 | -0.882562 | -0.921685 | -0.996747 |
| 9 | 0.127087 | 0.220808 | -0.787128 | -0.783989 | -0.869564 | -0.95713 | -0.992162 | -1.08595 | -1.21183 |
| 10 | 0.222117 | -0.741526 | -0.780838 | -0.859574 | -0.950271 | -0.989459 | -1.08107 | -1.21044 | -1.41393 | -1.69314 |
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 | 0.258121 | 0.258121 | 0.258121 | 0.362223 | 0.362223 | 0.362223 |
| 2,2 | -0.381706 | -0.362433 | -0.362433 | -0.401011 | -0.378681 | -0.378681 |
| 3,3 | -0.425474 | -0.407176 | -0.407176 | -0.440757 | -0.419655 | -0.419655 |
| 4,4 | -0.486845 | -0.467393 | -0.467393 | -0.524019 | -0.501574 | -0.501574 |
| 5,5 | -0.568129 | -0.548381 | -0.548381 | -0.661395 | -0.645433 | -0.645433 |
| 6,6 | -0.578573 | -0.558551 | -0.558551 | -0.606174 | -0.583138 | -0.583138 |
| 7,7 | -0.568627 | -0.552038 | -0.552038 | -0.581914 | -0.562987 | -0.562987 |
| 8,8 | -0.423635 | -0.404886 | -0.404886 | -0.414921 | -0.393583 | -0.393583 |
| 9,9 | -0.108256 | -0.0981873 | -0.0981873 | -0.099204 | -0.0882187 | -0.0882187 |
| 10,10 | 0.20834 | 0.20834 | 0.20834 | -0.233075 | -0.233075 | -0.233075 |
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 | -0.535536 |
| 2 | -0.539648 | -0.543856 |
| 3 | -0.539358 | -0.543554 | -0.543248 |
| 4 | -0.539255 | -0.543433 | -0.543391 | -0.54326 |
| 5 | -0.538853 | -0.543298 | -0.542982 | -0.542851 | -0.542443 |
| 6 | -0.41905 | -0.545775 | -0.545466 | -0.545336 | -0.544946 | -0.547053 |
| 7 | -0.182147 | -0.534785 | -0.53448 | -0.534368 | -0.53378 | -0.536318 | -0.525583 |
| 8 | 0.0637236 | -0.536744 | -0.536454 | -0.536144 | -0.535771 | -0.538309 | -0.527574 | -0.529565 |
| 9 | 0.554572 | -0.538586 | -0.538098 | -0.538003 | -0.537631 | -0.540169 | -0.529433 | -0.405482 | -0.156304 |
| 10 | 1.5 | -0.540092 | -0.539819 | -0.539724 | -0.539351 | -0.541889 | -0.415965 | -0.166918 | 0.0823809 | 0.568553 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.0592285 |
| 2 | -0.0973922 | -0.283177 |
| 3 | -0.132369 | -0.311626 | -0.341342 |
| 4 | -0.172834 | -0.342845 | -0.328071 | -0.247183 |
| 5 | -0.21774 | -0.322106 | -0.251944 | -0.14834 | 0.0292091 |
| 6 | -0.19303 | -0.25006 | -0.147542 | 0.0297017 | 0.115482 | -0.383777 |
| 7 | -0.141607 | -0.154084 | 0.0273222 | 0.112495 | -0.384861 | -0.437441 | -0.49033 |
| 8 | -0.0871124 | 0.0278125 | 0.113204 | -0.384674 | -0.436767 | -0.465623 | -0.490255 | -0.526181 |
| 9 | 0.0170905 | 0.111283 | -0.385429 | -0.413016 | -0.460515 | -0.507161 | -0.526286 | -0.571672 | -0.6364 |
| 10 | 0.111654 | -0.36457 | -0.409823 | -0.456543 | -0.503283 | -0.523992 | -0.571003 | -0.635636 | -0.720065 | -0.843225 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.491614 |
| 2 | -0.49721 | -1.08771 |
| 3 | -0.497628 | -1.08711 | -1.0672 |
| 4 | -0.505362 | -1.06758 | -0.952805 | -0.742386 |
| 5 | -0.52504 | -0.952695 | -0.742177 | -0.452508 | 0.00496456 |
| 6 | -0.446523 | -0.746489 | -0.456584 | 0.000805676 | 0.175697 | -0.800867 |
| 7 | -0.334322 | -0.451553 | 0.00246662 | 0.175585 | -0.794092 | -0.887738 | -0.985179 |
| 8 | -0.22987 | -0.00160253 | 0.171219 | -0.801325 | -0.887908 | -0.937535 | -0.980131 | -1.05236 |
| 9 | -0.0294964 | 0.161948 | -0.808804 | -0.843825 | -0.92489 | -1.01637 | -1.05257 | -1.14334 | -1.2728 |
| 10 | 0.159892 | -0.769083 | -0.840385 | -0.919267 | -1.00555 | -1.04798 | -1.14201 | -1.27127 | -1.44013 | -1.68645 |
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 | 0.186732 | 0.186732 | 0.186732 | 0.283344 | 0.283344 | 0.283344 |
| 2,2 | -0.473145 | -0.464448 | -0.464448 | -0.497898 | -0.487893 | -0.487893 |
| 3,3 | -0.520459 | -0.51054 | -0.51054 | -0.543042 | -0.531647 | -0.531647 |
| 4,4 | -0.578139 | -0.567335 | -0.567335 | -0.622123 | -0.609719 | -0.609719 |
| 5,5 | -0.653296 | -0.642694 | -0.642694 | -0.745688 | -0.733474 | -0.733474 |
| 6,6 | -0.664446 | -0.654371 | -0.654371 | -0.700432 | -0.688876 | -0.688876 |
| 7,7 | -0.636481 | -0.625205 | -0.625205 | -0.653438 | -0.640483 | -0.640483 |
| 8,8 | -0.480824 | -0.471068 | -0.471068 | -0.475127 | -0.464015 | -0.464015 |
| 9,9 | -0.285664 | -0.278235 | -0.278235 | -0.30308 | -0.29481 | -0.29481 |
| 10,10 | 0.0552203 | 0.0552203 | 0.0552203 | -0.345427 | -0.345427 | -0.345427 |
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 | -0.595165 |
| 2 | -0.59415 | -0.593112 |
| 3 | -0.59317 | -0.592127 | -0.591322 |
| 4 | -0.592079 | -0.591223 | -0.590338 | -0.589213 |
| 5 | -0.592718 | -0.591783 | -0.590765 | -0.589636 | -0.590102 |
| 6 | -0.511565 | -0.589526 | -0.588515 | -0.587412 | -0.587564 | -0.585447 |
| 7 | -0.224702 | -0.586679 | -0.585678 | -0.584383 | -0.584874 | -0.582801 | -0.580226 |
| 8 | 0.192556 | -0.590012 | -0.588833 | -0.587742 | -0.588246 | -0.586173 | -0.583563 | -0.586904 |
| 9 | 0.613241 | -0.593115 | -0.592148 | -0.591063 | -0.591563 | -0.58944 | -0.58686 | -0.503605 | -0.206613 |
| 10 | 1.5 | -0.59999 | -0.599028 | -0.597967 | -0.598423 | -0.596496 | -0.509914 | -0.218577 | 0.200106 | 0.597669 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.067327 |
| 2 | -0.103429 | -0.293373 |
| 3 | -0.137018 | -0.320313 | -0.351766 |
| 4 | -0.178451 | -0.351868 | -0.362214 | -0.264933 |
| 5 | -0.221872 | -0.357274 | -0.271028 | -0.124219 | 0.0377164 |
| 6 | -0.224617 | -0.270784 | -0.125084 | 0.0383123 | 0.12108 | -0.393801 |
| 7 | -0.165428 | -0.132352 | 0.0359034 | 0.118882 | -0.394705 | -0.447078 | -0.495371 |
| 8 | -0.0689796 | 0.0358449 | 0.117332 | -0.393719 | -0.443541 | -0.472648 | -0.495281 | -0.531321 |
| 9 | 0.0256066 | 0.116041 | -0.394213 | -0.419451 | -0.468095 | -0.512262 | -0.531624 | -0.572583 | -0.637736 |
| 10 | 0.10739 | -0.381947 | -0.424713 | -0.468715 | -0.515081 | -0.535711 | -0.578076 | -0.641955 | -0.738688 | -0.868561 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.574721 |
| 2 | -0.571816 | -1.18623 |
| 3 | -0.570173 | -1.18425 | -1.17135 |
| 4 | -0.58026 | -1.17119 | -1.07758 | -0.820423 |
| 5 | -0.598489 | -1.08059 | -0.823486 | -0.438227 | -0.00434482 |
| 6 | -0.541393 | -0.826131 | -0.441417 | -0.00390813 | 0.166651 | -0.835229 |
| 7 | -0.416886 | -0.446151 | -0.0102558 | 0.1615 | -0.837263 | -0.923146 | -1.00872 |
| 8 | -0.230106 | -0.0174629 | 0.150867 | -0.842648 | -0.919888 | -0.963082 | -0.997462 | -1.06264 |
| 9 | -0.0495957 | 0.141066 | -0.850257 | -0.87533 | -0.953423 | -1.03253 | -1.06325 | -1.14517 | -1.27547 |
| 10 | 0.119512 | -0.827562 | -0.887981 | -0.956231 | -1.03624 | -1.07142 | -1.15615 | -1.28391 | -1.47738 | -1.73712 |
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 | 0.157378 | 0.157378 | 0.157378 | 0.238708 | 0.238708 | 0.238708 |
| 2,2 | -0.495649 | -0.490313 | -0.490313 | -0.521759 | -0.515477 | -0.515477 |
| 3,3 | -0.540143 | -0.533289 | -0.533289 | -0.563536 | -0.555519 | -0.555519 |
| 4,4 | -0.593663 | -0.585058 | -0.585058 | -0.637119 | -0.627088 | -0.627088 |
| 5,5 | -0.671275 | -0.662116 | -0.662116 | -0.76674 | -0.756068 | -0.756068 |
| 6,6 | -0.683286 | -0.674051 | -0.674051 | -0.720159 | -0.709389 | -0.709389 |
| 7,7 | -0.694186 | -0.685826 | -0.685826 | -0.717124 | -0.70744 | -0.70744 |
| 8,8 | -0.505294 | -0.499517 | -0.499517 | -0.501009 | -0.49444 | -0.49444 |
| 9,9 | -0.221462 | -0.218242 | -0.218242 | -0.222333 | -0.21886 | -0.21886 |
| 10,10 | 0.0317591 | 0.0317591 | 0.0317591 | -0.436753 | -0.436753 | -0.436753 |
Dealer Up Card 2
Dealer hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.278817 |
| 2 | -0.282107 | -0.285287 |
| 3 | -0.282189 | -0.285594 | -0.285684 |
| 4 | -0.282017 | -0.285221 | -0.285305 | -0.284921 |
| 5 | -0.273947 | -0.277072 | -0.277156 | -0.276758 | -0.268502 |
| 6 | -0.145231 | -0.278555 | -0.278614 | -0.278024 | -0.269979 | -0.271468 |
| 7 | 0.118882 | -0.280112 | -0.279987 | -0.279589 | -0.27156 | -0.273061 | -0.274633 |
| 8 | 0.386325 | -0.281358 | -0.281433 | -0.281048 | -0.27302 | -0.274498 | -0.276312 | -0.277763 |
| 9 | 0.643124 | -0.283482 | -0.283556 | -0.283169 | -0.275137 | -0.276866 | -0.278446 | -0.148341 | 0.117843 |
| 10 | 1.5 | -0.29519 | -0.295261 | -0.294886 | -0.287079 | -0.288566 | -0.158751 | 0.108623 | 0.377409 | 0.628557 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.0866219 |
| 2 | 0.0434772 | -0.111794 |
| 3 | 0.0206011 | -0.126538 | -0.142295 |
| 4 | -0.00441493 | -0.141992 | -0.114431 | -0.0181676 |
| 5 | -0.0247574 | -0.104442 | -0.0209146 | 0.0825751 | 0.201294 |
| 6 | 0.00258557 | -0.0196986 | 0.0814266 | 0.198485 | 0.259968 | -0.253276 |
| 7 | 0.0615945 | 0.0771117 | 0.196663 | 0.254568 | -0.253303 | -0.320347 | -0.384999 |
| 8 | 0.120025 | 0.195462 | 0.252036 | -0.256746 | -0.319981 | -0.363793 | -0.405814 | -0.465195 |
| 9 | 0.184924 | 0.24961 | -0.260051 | -0.301099 | -0.361847 | -0.425021 | -0.465915 | -0.535286 | -0.62601 |
| 10 | 0.241925 | -0.249031 | -0.306723 | -0.366201 | -0.427789 | -0.470392 | -0.539132 | -0.628466 | -0.739552 | -0.851193 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.0431481 |
| 2 | -0.0535311 | -0.570576 |
| 3 | -0.0551564 | -0.571187 | -0.550891 |
| 4 | -0.0664277 | -0.550007 | -0.425871 | -0.193775 |
| 5 | -0.0729371 | -0.414358 | -0.187087 | 0.0862054 | 0.399937 |
| 6 | 0.00241308 | -0.185794 | 0.0845278 | 0.393481 | 0.517178 | -0.506552 |
| 7 | 0.119481 | 0.0864252 | 0.389953 | 0.505428 | -0.506606 | -0.640694 | -0.769998 |
| 8 | 0.236477 | 0.388165 | 0.500498 | -0.513491 | -0.639962 | -0.727586 | -0.811628 | -0.93039 |
| 9 | 0.366865 | 0.495812 | -0.520103 | -0.602198 | -0.723693 | -0.850043 | -0.93183 | -1.07057 | -1.25202 |
| 10 | 0.477783 | -0.498062 | -0.613446 | -0.732402 | -0.855577 | -0.940783 | -1.07826 | -1.25693 | -1.4791 | -1.70239 |
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 | 0.516613 | 0.516613 | 0.516613 | 0.621521 | 0.621521 | 0.621521 |
| 2,2 | -0.140669 | -0.0668774 | -0.0695443 | -0.14362 | -0.0614552 | -0.0645944 |
| 3,3 | -0.195721 | -0.123383 | -0.124231 | -0.202068 | -0.119875 | -0.120902 |
| 4,4 | -0.226212 | -0.152947 | -0.153946 | -0.25378 | -0.170528 | -0.171727 |
| 5,5 | -0.238347 | -0.169719 | -0.171459 | -0.295907 | -0.245389 | -0.247512 |
| 6,6 | -0.245992 | -0.169986 | -0.171641 | -0.242851 | -0.156295 | -0.158327 |
| 7,7 | -0.191924 | -0.115263 | -0.119446 | -0.180346 | -0.0928935 | -0.0980484 |
| 8,8 | -0.0207519 | 0.0468073 | 0.0468073 | 0.013672 | 0.0902709 | 0.0902709 |
| 9,9 | 0.155329 | 0.189631 | 0.189631 | 0.159883 | 0.198675 | 0.198675 |
| 10,10 | 0.3356 | 0.3356 | 0.3356 | 0.0859937 | 0.0859937 | 0.0859937 |
Dealer Up Card 3
Dealer hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.237884 |
| 2 | -0.24116 | -0.244572 |
| 3 | -0.241005 | -0.244218 | -0.243862 |
| 4 | -0.232931 | -0.236052 | -0.235685 | -0.227509 |
| 5 | -0.231565 | -0.234704 | -0.234326 | -0.226044 | -0.224679 |
| 6 | -0.107625 | -0.236071 | -0.235498 | -0.22742 | -0.226063 | -0.227463 |
| 7 | 0.149047 | -0.237499 | -0.237125 | -0.229053 | -0.227714 | -0.229095 | -0.230964 |
| 8 | 0.405716 | -0.239594 | -0.239223 | -0.231174 | -0.229811 | -0.231448 | -0.233079 | -0.235203 |
| 9 | 0.6439 | -0.251824 | -0.251457 | -0.243397 | -0.242281 | -0.243671 | -0.245315 | -0.120979 | 0.127459 |
| 10 | 1.5 | -0.253885 | -0.253531 | -0.245696 | -0.244333 | -0.245737 | -0.120718 | 0.137349 | 0.387782 | 0.63914 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.110236 |
| 2 | 0.0729036 | -0.0793314 |
| 3 | 0.0483925 | -0.0937911 | -0.108983 |
| 4 | 0.0271678 | -0.103439 | -0.0778951 | 0.0166129 |
| 5 | 0.00452926 | -0.0688248 | 0.012528 | 0.119195 | 0.228522 |
| 6 | 0.0318225 | 0.0138156 | 0.11813 | 0.226436 | 0.285639 | -0.228411 |
| 7 | 0.0896944 | 0.113862 | 0.224559 | 0.281378 | -0.228333 | -0.298347 | -0.369242 |
| 8 | 0.158974 | 0.221984 | 0.27672 | -0.231936 | -0.298894 | -0.34903 | -0.395695 | -0.458963 |
| 9 | 0.200617 | 0.264459 | -0.244286 | -0.286242 | -0.352948 | -0.420008 | -0.463117 | -0.535015 | -0.629565 |
| 10 | 0.264888 | -0.226933 | -0.287725 | -0.35279 | -0.41883 | -0.464355 | -0.535606 | -0.627587 | -0.720908 | -0.85088 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.025731 |
| 2 | 0.0141168 | -0.489142 |
| 3 | 0.00606501 | -0.488437 | -0.46806 |
| 4 | 0.00170811 | -0.453236 | -0.336692 | -0.109339 |
| 5 | -0.00965028 | -0.330756 | -0.109965 | 0.156811 | 0.457066 |
| 6 | 0.0639286 | -0.108843 | 0.153058 | 0.452895 | 0.571562 | -0.456821 |
| 7 | 0.179646 | 0.154799 | 0.448289 | 0.563013 | -0.456667 | -0.596694 | -0.738484 |
| 8 | 0.317473 | 0.443322 | 0.552897 | -0.463873 | -0.597788 | -0.698059 | -0.79139 | -0.917926 |
| 9 | 0.400316 | 0.528002 | -0.488572 | -0.572483 | -0.705895 | -0.840015 | -0.926234 | -1.07003 | -1.25913 |
| 10 | 0.526367 | -0.453866 | -0.575451 | -0.70558 | -0.837661 | -0.928709 | -1.07121 | -1.25517 | -1.44182 | -1.70176 |
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 | 0.564088 | 0.564088 | 0.564088 | 0.66981 | 0.66981 | 0.66981 |
| 2,2 | -0.084474 | 0.00138293 | -0.006238 | -0.0849984 | 0.0126298 | 0.00378895 |
| 3,3 | -0.128553 | -0.0420531 | -0.0479022 | -0.130155 | -0.0340722 | -0.0405981 |
| 4,4 | -0.139681 | -0.0497517 | -0.0567073 | -0.159655 | -0.0574018 | -0.0654017 |
| 5,5 | -0.164656 | -0.0818984 | -0.089303 | -0.215855 | -0.153449 | -0.162009 |
| 6,6 | -0.171135 | -0.0736439 | -0.0867339 | -0.162549 | -0.0513819 | -0.0665997 |
| 7,7 | -0.118688 | -0.0251677 | -0.040308 | -0.102828 | 0.0038683 | -0.0137901 |
| 8,8 | 0.0430701 | 0.118512 | 0.118512 | 0.0804973 | 0.166088 | 0.166088 |
| 9,9 | 0.18508 | 0.225633 | 0.225633 | 0.191661 | 0.237374 | 0.237374 |
| 10,10 | 0.386353 | 0.386353 | 0.386353 | 0.169659 | 0.169659 | 0.169659 |
Dealer Up Card 4
Dealer hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.19066 |
| 2 | -0.193757 | -0.196595 |
| 3 | -0.185697 | -0.188445 | -0.180285 |
| 4 | -0.184148 | -0.186896 | -0.178736 | -0.177078 |
| 5 | -0.183054 | -0.185815 | -0.177549 | -0.175969 | -0.174888 |
| 6 | -0.0616671 | -0.187007 | -0.178943 | -0.177378 | -0.176303 | -0.17771 |
| 7 | 0.180897 | -0.189346 | -0.181295 | -0.179752 | -0.178661 | -0.180312 | -0.182685 |
| 8 | 0.413699 | -0.201547 | -0.193507 | -0.191941 | -0.191096 | -0.192512 | -0.194877 | -0.207078 |
| 9 | 0.653683 | -0.203947 | -0.195903 | -0.19458 | -0.193495 | -0.194905 | -0.197276 | -0.0851524 | 0.16099 |
| 10 | 1.5 | -0.206125 | -0.198306 | -0.196747 | -0.195654 | -0.197072 | -0.0754562 | 0.160381 | 0.406488 | 0.648791 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.134467 |
| 2 | 0.107026 | -0.039502 |
| 3 | 0.0865315 | -0.0483526 | -0.0567356 |
| 4 | 0.0615774 | -0.0608991 | -0.029323 | 0.0656739 |
| 5 | 0.0403155 | -0.0264256 | 0.0603518 | 0.156833 | 0.260577 |
| 6 | 0.0677172 | 0.0577192 | 0.155292 | 0.259647 | 0.315857 | -0.202729 |
| 7 | 0.134886 | 0.146561 | 0.256346 | 0.311588 | -0.203561 | -0.27654 | -0.352793 |
| 8 | 0.179824 | 0.240801 | 0.29745 | -0.214139 | -0.28347 | -0.337432 | -0.389644 | -0.460183 |
| 9 | 0.229169 | 0.291136 | -0.219573 | -0.265184 | -0.336456 | -0.408969 | -0.456626 | -0.535274 | -0.60844 |
| 10 | 0.289898 | -0.204205 | -0.266806 | -0.336605 | -0.408068 | -0.457372 | -0.532597 | -0.608518 | -0.719949 | -0.850713 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.099262 |
| 2 | 0.0896263 | -0.393189 |
| 3 | 0.0870597 | -0.376889 | -0.34291 |
| 4 | 0.0742512 | -0.354543 | -0.227613 | -0.0148343 |
| 5 | 0.0630493 | -0.23619 | -0.0160487 | 0.235379 | 0.521155 |
| 6 | 0.135434 | -0.0246835 | 0.232238 | 0.519294 | 0.631714 | -0.405459 |
| 7 | 0.269772 | 0.223733 | 0.512692 | 0.623176 | -0.407122 | -0.55308 | -0.705585 |
| 8 | 0.359648 | 0.481603 | 0.594899 | -0.428277 | -0.56694 | -0.674865 | -0.779287 | -0.920366 |
| 9 | 0.458338 | 0.582271 | -0.439146 | -0.530368 | -0.672911 | -0.817939 | -0.913252 | -1.07055 | -1.21688 |
| 10 | 0.579795 | -0.408411 | -0.533613 | -0.673211 | -0.816137 | -0.914743 | -1.06519 | -1.21704 | -1.4399 | -1.70143 |
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 | 0.616184 | 0.616184 | 0.616184 | 0.722453 | 0.722453 | 0.722453 |
| 2,2 | -0.0207166 | 0.0781652 | 0.0648602 | -0.0182003 | 0.0941352 | 0.078874 |
| 3,3 | -0.0273487 | 0.0767667 | 0.0624782 | -0.0226707 | 0.0957235 | 0.0792895 |
| 4,4 | -0.0514871 | 0.0583027 | 0.0418384 | -0.0637927 | 0.0583291 | 0.0399192 |
| 5,5 | -0.0767989 | 0.0236039 | 0.00736147 | -0.12064 | -0.0427326 | -0.0612191 |
| 6,6 | -0.0834798 | 0.0329 | 0.00608125 | -0.0697407 | 0.0628833 | 0.03206 |
| 7,7 | -0.0358973 | 0.0812823 | 0.0509806 | -0.0155146 | 0.117985 | 0.0831615 |
| 8,8 | 0.0883923 | 0.172716 | 0.172716 | 0.127389 | 0.222681 | 0.222681 |
| 9,9 | 0.252051 | 0.296981 | 0.296981 | 0.263275 | 0.313937 | 0.313937 |
| 10,10 | 0.440499 | 0.440499 | 0.440499 | 0.260012 | 0.260012 | 0.260012 |
Dealer Up Card 5
Dealer hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.146973 |
| 2 | -0.141651 | -0.136104 |
| 3 | -0.140317 | -0.134777 | -0.133445 |
| 4 | -0.139032 | -0.1335 | -0.132048 | -0.130739 |
| 5 | -0.137943 | -0.132298 | -0.130948 | -0.129646 | -0.128554 |
| 6 | -0.0221132 | -0.134617 | -0.133266 | -0.131978 | -0.13088 | -0.133466 |
| 7 | 0.207314 | -0.147046 | -0.145709 | -0.144407 | -0.143552 | -0.145885 | -0.158311 |
| 8 | 0.447486 | -0.149529 | -0.148179 | -0.147124 | -0.14602 | -0.148358 | -0.160788 | -0.163273 |
| 9 | 0.674583 | -0.151457 | -0.150355 | -0.149055 | -0.147951 | -0.15029 | -0.162727 | -0.045826 | 0.196772 |
| 10 | 1.5 | -0.153697 | -0.152346 | -0.15105 | -0.149947 | -0.152291 | -0.0452965 | 0.19667 | 0.440237 | 0.670048 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.169339 |
| 2 | 0.145876 | 0.0118089 |
| 3 | 0.124142 | -0.000976585 | -0.0127012 |
| 4 | 0.0999796 | -0.0125768 | 0.0197786 | 0.109724 |
| 5 | 0.077844 | 0.0234617 | 0.103541 | 0.199504 | 0.299131 |
| 6 | 0.114717 | 0.0987453 | 0.194276 | 0.295335 | 0.348322 | -0.178674 |
| 7 | 0.160272 | 0.175762 | 0.280815 | 0.333526 | -0.185913 | -0.263317 | -0.345685 |
| 8 | 0.214179 | 0.275268 | 0.327733 | -0.190239 | -0.263919 | -0.320018 | -0.380111 | -0.451767 |
| 9 | 0.261623 | 0.322722 | -0.195216 | -0.245568 | -0.318434 | -0.39453 | -0.451569 | -0.508984 | -0.603663 |
| 10 | 0.318946 | -0.179113 | -0.247037 | -0.318649 | -0.393164 | -0.448074 | -0.508948 | -0.603766 | -0.717813 | -0.850206 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.171311 |
| 2 | 0.169235 | -0.272209 |
| 3 | 0.164993 | -0.269554 | -0.248466 |
| 4 | 0.15079 | -0.24934 | -0.133975 | 0.0781082 |
| 5 | 0.137045 | -0.138267 | 0.0746909 | 0.32386 | 0.598263 |
| 6 | 0.229435 | 0.0634977 | 0.313244 | 0.59067 | 0.696645 | -0.357349 |
| 7 | 0.320545 | 0.285601 | 0.561629 | 0.667053 | -0.371827 | -0.526633 | -0.69137 |
| 8 | 0.428358 | 0.550537 | 0.655466 | -0.380477 | -0.527837 | -0.640037 | -0.760222 | -0.903534 |
| 9 | 0.523246 | 0.645443 | -0.390431 | -0.491136 | -0.636868 | -0.789061 | -0.903138 | -1.01797 | -1.20733 |
| 10 | 0.637892 | -0.358225 | -0.494073 | -0.637299 | -0.786329 | -0.896148 | -1.0179 | -1.20753 | -1.43563 | -1.70041 |
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 | 0.672615 | 0.672615 | 0.672615 | 0.780526 | 0.780526 | 0.780526 |
| 2,2 | 0.0775192 | 0.198381 | 0.174293 | 0.0864728 | 0.223991 | 0.196284 |
| 3,3 | 0.0579018 | 0.184774 | 0.156839 | 0.0680659 | 0.212309 | 0.180377 |
| 4,4 | 0.0346937 | 0.165416 | 0.137611 | 0.0250359 | 0.173656 | 0.141937 |
| 5,5 | 0.00930831 | 0.129534 | 0.0976645 | -0.0216792 | 0.0778097 | 0.0423198 |
| 6,6 | -0.000969186 | 0.139202 | 0.0981386 | 0.0178058 | 0.177413 | 0.130461 |
| 7,7 | 0.0128125 | 0.146535 | 0.110413 | 0.0356667 | 0.18723 | 0.146171 |
| 8,8 | 0.163585 | 0.258066 | 0.258066 | 0.206645 | 0.313417 | 0.313417 |
| 9,9 | 0.325388 | 0.375337 | 0.375337 | 0.341535 | 0.397878 | 0.397878 |
| 10,10 | 0.504085 | 0.504085 | 0.504085 | 0.355705 | 0.355705 | 0.355705 |
Dealer Up Card 6
Dealer hits soft 17
STANDING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | -0.103203 |
| 2 | -0.103873 | -0.104437 |
| 3 | -0.102624 | -0.103191 | -0.101836 |
| 4 | -0.101478 | -0.101935 | -0.100667 | -0.0994988 |
| 5 | -0.10119 | -0.101826 | -0.100559 | -0.0993972 | -0.0993001 |
| 6 | -0.0030903 | -0.114257 | -0.112996 | -0.111834 | -0.111971 | -0.124392 |
| 7 | 0.2203 | -0.116747 | -0.115485 | -0.11455 | -0.114445 | -0.126873 | -0.129361 |
| 8 | 0.450275 | -0.118628 | -0.117601 | -0.11643 | -0.116321 | -0.128756 | -0.131248 | -0.132803 |
| 9 | 0.676013 | -0.120945 | -0.119678 | -0.11851 | -0.118402 | -0.130841 | -0.133001 | -0.0178796 | 0.213138 |
| 10 | 1.5 | -0.12238 | -0.121119 | -0.11995 | -0.119841 | -0.131948 | -0.0175089 | 0.213657 | 0.44512 | 0.673275 |
HITTING
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.194397 |
| 2 | 0.169299 | 0.0383838 |
| 3 | 0.149176 | 0.0276072 | 0.0203429 |
| 4 | 0.127506 | 0.0203784 | 0.0469585 | 0.133111 |
| 5 | 0.116167 | 0.050816 | 0.127095 | 0.219201 | 0.317115 |
| 6 | 0.128756 | 0.11226 | 0.203962 | 0.303736 | 0.355332 | -0.181364 |
| 7 | 0.179925 | 0.193795 | 0.297307 | 0.349204 | -0.175071 | -0.260701 | -0.339575 |
| 8 | 0.232007 | 0.291989 | 0.343664 | -0.178139 | -0.254757 | -0.318456 | -0.373963 | -0.426598 |
| 9 | 0.279297 | 0.338435 | -0.18319 | -0.235709 | -0.31135 | -0.392652 | -0.426706 | -0.507026 | -0.603261 |
| 10 | 0.335943 | -0.166777 | -0.236895 | -0.310606 | -0.386197 | -0.426495 | -0.506975 | -0.603162 | -0.717582 | -0.850096 |
DOUBLING DOWN
| hand | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 0.227011 |
| 2 | 0.220744 | -0.208874 |
| 3 | 0.217147 | -0.206381 | -0.186344 |
| 4 | 0.207197 | -0.186556 | -0.0751294 | 0.12845 |
| 5 | 0.214204 | -0.078271 | 0.125379 | 0.365198 | 0.63423 |
| 6 | 0.257512 | 0.0943618 | 0.334636 | 0.607471 | 0.710664 | -0.362729 |
| 7 | 0.359849 | 0.323687 | 0.594614 | 0.698407 | -0.350142 | -0.521402 | -0.67915 |
| 8 | 0.464014 | 0.583977 | 0.687328 | -0.356277 | -0.509513 | -0.636912 | -0.747927 | -0.853196 |
| 9 | 0.558595 | 0.676869 | -0.36638 | -0.471419 | -0.6227 | -0.785304 | -0.853412 | -1.01405 | -1.20652 |
| 10 | 0.671886 | -0.333555 | -0.47379 | -0.621212 | -0.772395 | -0.85299 | -1.01395 | -1.20632 | -1.43516 | -1.70019 |
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 | 0.709899 | 0.709899 | 0.709899 | 0.816342 | 0.816342 | 0.816342 |
| 2,2 | 0.129479 | 0.263909 | 0.231737 | 0.141858 | 0.294804 | 0.257906 |
| 3,3 | 0.110545 | 0.247048 | 0.215069 | 0.123346 | 0.278587 | 0.242027 |
| 4,4 | 0.0880487 | 0.228293 | 0.189157 | 0.0823715 | 0.241896 | 0.197261 |
| 5,5 | 0.061612 | 0.193915 | 0.152408 | 0.0281028 | 0.134154 | 0.086958 |
| 6,6 | 0.018754 | 0.166059 | 0.124342 | 0.0346891 | 0.198134 | 0.151827 |
| 7,7 | 0.0591622 | 0.20484 | 0.161643 | 0.0841964 | 0.249222 | 0.200197 |
| 8,8 | 0.205534 | 0.307511 | 0.305272 | 0.250094 | 0.365439 | 0.362834 |
| 9,9 | 0.35871 | 0.411114 | 0.411114 | 0.37703 | 0.43615 | 0.43615 |
| 10,10 | 0.537013 | 0.537013 | 0.537013 | 0.413099 | 0.413099 | 0.413099 |