Last Updated: Mar. 23, 2015
Blackjack Appendix 9 — Eight decks, dealer stands on soft 17, no hole card.
Following are the expected returns for each initial hands in blackjack under the following rules.
- 8 decks
- Dealer stands on soft 17
- No dealer hole card. Player loses everything, including doubles and splits, if dealer gets a blackjack.
- Player may resplit to four hands, except aces
- No drawing to split aces
There are two tables, the first for when the player has two cards of different ranks, the second when the player has two cards of the same rank. In the second table there are two columns for splitting, one in which the player may double after a split and the other in which the player may not.
The values in this table were created using a recursive combinatorial program that considered the exact hand composition at every step. For splitting values the program only considered how many hands the player had already split, but not the other cards drawn in those hands.
Expected return of game:
- Player may double after split: -0.0054263.
- Player may not double after split: -0.0068239
Splitting Not Possible
Blackjack Appendix 9 - 8 Decks, Dealer Stands on Soft 17
Dealer | Player | Stand | Hit | Double | Probability |
---|---|---|---|---|---|
A | 2,A | -0.769799 | -0.350579 | -1.048212 | 0.00061298 |
A | 3,A | -0.769673 | -0.375650 | -1.048387 | 0.00061298 |
A | 3,2 | -0.769552 | -0.503470 | -1.539103 | 0.00063275 |
A | 4,A | -0.769525 | -0.401851 | -1.050384 | 0.00061298 |
A | 4,2 | -0.769415 | -0.522400 | -1.519404 | 0.00063275 |
A | 4,3 | -0.769287 | -0.526848 | -1.399395 | 0.00063275 |
A | 5,A | -0.769386 | -0.427643 | -1.053241 | 0.00061298 |
A | 5,2 | -0.769263 | -0.525782 | -1.399351 | 0.00063275 |
A | 5,3 | -0.769136 | -0.447507 | -1.177780 | 0.00063275 |
A | 5,4 | -0.768986 | -0.355571 | -0.915251 | 0.00063275 |
A | 6,A | -0.640204 | -0.435605 | -0.989930 | 0.00061298 |
A | 6,2 | -0.767995 | -0.448288 | -1.178425 | 0.00063275 |
A | 6,3 | -0.767868 | -0.356449 | -0.916072 | 0.00063275 |
A | 6,4 | -0.767718 | -0.253783 | -0.624452 | 0.00063275 |
A | 6,5 | -0.767559 | -0.208878 | -0.533938 | 0.00063275 |
A | 7,A | -0.379112 | -0.375302 | -0.869967 | 0.00061298 |
A | 7,2 | -0.768481 | -0.356551 | -0.916098 | 0.00063275 |
A | 7,3 | -0.768354 | -0.253286 | -0.625187 | 0.00063275 |
A | 7,4 | -0.768197 | -0.209003 | -0.535481 | 0.00063275 |
A | 7,5 | -0.768047 | -0.553918 | -1.000000 | 0.00063275 |
A | 7,6 | -0.766792 | -0.587775 | -1.000000 | 0.00063275 |
A | 8,A | -0.117294 | -0.314799 | -0.750328 | 0.00061298 |
A | 8,2 | -0.768971 | -0.253287 | -0.626372 | 0.00063275 |
A | 8,3 | -0.768838 | -0.209041 | -0.536840 | 0.00063275 |
A | 8,4 | -0.768690 | -0.553870 | -1.000000 | 0.00063275 |
A | 8,5 | -0.768539 | -0.586717 | -1.000000 | 0.00063275 |
A | 8,6 | -0.767286 | -0.614695 | -1.000000 | 0.00063275 |
A | 8,7 | -0.767775 | -0.639143 | -1.000000 | 0.00063275 |
A | 9,A | 0.144533 | -0.254858 | -0.631837 | 0.00061298 |
A | 9,2 | -0.769455 | -0.209103 | -0.538174 | 0.00063275 |
A | 9,3 | -0.769330 | -0.553782 | -1.000000 | 0.00063275 |
A | 9,4 | -0.769182 | -0.582634 | -1.000000 | 0.00063275 |
A | 9,5 | -0.769032 | -0.613572 | -1.000000 | 0.00063275 |
A | 9,6 | -0.767780 | -0.642455 | -1.000000 | 0.00063275 |
A | 9,7 | -0.768266 | -0.664985 | -1.000000 | 0.00063275 |
A | 9,8 | -0.637659 | -1.000000 | -1.000000 | 0.00063275 |
A | 10,A | 1.500000 | -0.207688 | -0.536606 | 0.00246051 |
A | 10,2 | -0.769943 | -0.550069 | -1.000000 | 0.00253989 |
A | 10,3 | -0.769818 | -0.582047 | -1.000000 | 0.00253989 |
A | 10,4 | -0.769670 | -0.612589 | -1.000000 | 0.00253989 |
A | 10,5 | -0.769520 | -0.641421 | -1.000000 | 0.00253989 |
A | 10,6 | -0.768267 | -0.664929 | -1.000000 | 0.00253989 |
A | 10,7 | -0.637648 | -1.000000 | -1.000000 | 0.00253989 |
A | 10,8 | -0.375377 | -1.000000 | -1.000000 | 0.00253989 |
A | 10,9 | -0.112729 | -1.000000 | -1.000000 | 0.00253989 |
2 | 2,A | -0.291602 | 0.045786 | -0.067849 | 0.00088828 |
2 | 3,A | -0.291553 | 0.021732 | -0.068290 | 0.00091693 |
2 | 3,2 | -0.292556 | -0.128482 | -0.585112 | 0.00088828 |
2 | 4,A | -0.291341 | -0.001459 | -0.071038 | 0.00091693 |
2 | 4,2 | -0.292329 | -0.141708 | -0.563128 | 0.00088828 |
2 | 4,3 | -0.292280 | -0.110332 | -0.434101 | 0.00091693 |
2 | 5,A | -0.289591 | -0.022378 | -0.072965 | 0.00091693 |
2 | 5,2 | -0.290579 | -0.108065 | -0.431624 | 0.00088828 |
2 | 5,3 | -0.290530 | -0.020848 | -0.199621 | 0.00091693 |
2 | 5,4 | -0.290302 | 0.077042 | 0.067936 | 0.00091693 |
2 | 6,A | -0.150456 | 0.000394 | -0.004736 | 0.00091693 |
2 | 6,2 | -0.290940 | -0.020627 | -0.199451 | 0.00088828 |
2 | 6,3 | -0.290891 | 0.076739 | 0.067510 | 0.00091693 |
2 | 6,4 | -0.290652 | 0.186765 | 0.367899 | 0.00091693 |
2 | 6,5 | -0.288906 | 0.243852 | 0.482179 | 0.00091693 |
2 | 7,A | 0.123432 | 0.063193 | 0.120669 | 0.00091693 |
2 | 7,2 | -0.291310 | 0.075692 | 0.067906 | 0.00088828 |
2 | 7,3 | -0.291250 | 0.186320 | 0.367022 | 0.00091693 |
2 | 7,4 | -0.291023 | 0.242470 | 0.479224 | 0.00091693 |
2 | 7,5 | -0.289277 | -0.253309 | -1.000000 | 0.00091693 |
2 | 7,6 | -0.289640 | -0.310707 | -1.000000 | 0.00091693 |
2 | 8,A | 0.388023 | 0.123441 | 0.241175 | 0.00091693 |
2 | 8,2 | -0.291652 | 0.185909 | 0.366409 | 0.00088828 |
2 | 8,3 | -0.291603 | 0.241837 | 0.477968 | 0.00091693 |
2 | 8,4 | -0.291376 | -0.254141 | -1.000000 | 0.00091693 |
2 | 8,5 | -0.289632 | -0.310613 | -1.000000 | 0.00091693 |
2 | 8,6 | -0.289993 | -0.362301 | -1.000000 | 0.00091693 |
2 | 8,7 | -0.290379 | -0.413562 | -1.000000 | 0.00091693 |
2 | 9,A | 0.641759 | 0.183336 | 0.361173 | 0.00091693 |
2 | 9,2 | -0.292152 | 0.241245 | 0.476814 | 0.00088828 |
2 | 9,3 | -0.292104 | -0.254932 | -1.000000 | 0.00091693 |
2 | 9,4 | -0.291877 | -0.305967 | -1.000000 | 0.00091693 |
2 | 9,5 | -0.290132 | -0.361811 | -1.000000 | 0.00091693 |
2 | 9,6 | -0.290508 | -0.418244 | -1.000000 | 0.00091693 |
2 | 9,7 | -0.290880 | -0.469255 | -1.000000 | 0.00091693 |
2 | 9,8 | -0.151056 | -1.000000 | -1.000000 | 0.00091693 |
2 | 10,A | 1.500000 | 0.239370 | 0.472453 | 0.00366774 |
2 | 10,2 | -0.295061 | -0.252241 | -1.000000 | 0.00355312 |
2 | 10,3 | -0.295013 | -0.307297 | -1.000000 | 0.00366774 |
2 | 10,4 | -0.294786 | -0.362902 | -1.000000 | 0.00366774 |
2 | 10,5 | -0.293055 | -0.418913 | -1.000000 | 0.00366774 |
2 | 10,6 | -0.293417 | -0.470328 | -1.000000 | 0.00366774 |
2 | 10,7 | -0.153617 | -1.000000 | -1.000000 | 0.00366774 |
2 | 10,8 | 0.121318 | -1.000000 | -1.000000 | 0.00366774 |
2 | 10,9 | 0.386211 | -1.000000 | -1.000000 | 0.00366774 |
3 | 2,A | -0.250580 | 0.073793 | -0.002365 | 0.00091693 |
3 | 3,A | -0.250371 | 0.050113 | -0.004307 | 0.00088828 |
3 | 3,2 | -0.251286 | -0.095342 | -0.502572 | 0.00088828 |
3 | 4,A | -0.248628 | 0.028400 | -0.005756 | 0.00091693 |
3 | 4,2 | -0.249544 | -0.106893 | -0.478503 | 0.00091693 |
3 | 4,3 | -0.249318 | -0.076745 | -0.354737 | 0.00088828 |
3 | 5,A | -0.248303 | 0.007618 | -0.008628 | 0.00091693 |
3 | 5,2 | -0.249218 | -0.074609 | -0.353428 | 0.00091693 |
3 | 5,3 | -0.248993 | 0.009733 | -0.129238 | 0.00088828 |
3 | 5,4 | -0.247244 | 0.106154 | 0.130210 | 0.00091693 |
3 | 6,A | -0.114348 | 0.029788 | 0.057263 | 0.00091693 |
3 | 6,2 | -0.249577 | 0.010018 | -0.129054 | 0.00091693 |
3 | 6,3 | -0.249341 | 0.105745 | 0.129142 | 0.00088828 |
3 | 6,4 | -0.247603 | 0.211426 | 0.420451 | 0.00091693 |
3 | 6,5 | -0.247277 | 0.266690 | 0.531066 | 0.00091693 |
3 | 7,A | 0.150405 | 0.090608 | 0.178901 | 0.00091693 |
3 | 7,2 | -0.249928 | 0.104757 | 0.129581 | 0.00091693 |
3 | 7,3 | -0.249703 | 0.210872 | 0.419189 | 0.00088828 |
3 | 7,4 | -0.247966 | 0.265599 | 0.528884 | 0.00091693 |
3 | 7,5 | -0.247641 | -0.232352 | -1.000000 | 0.00091693 |
3 | 7,6 | -0.248000 | -0.292844 | -1.000000 | 0.00091693 |
3 | 8,A | 0.406050 | 0.152016 | 0.301642 | 0.00091693 |
3 | 8,2 | -0.250427 | 0.210240 | 0.418005 | 0.00091693 |
3 | 8,3 | -0.250203 | 0.264468 | 0.526469 | 0.00088828 |
3 | 8,4 | -0.248466 | -0.233193 | -1.000000 | 0.00091693 |
3 | 8,5 | -0.248140 | -0.292943 | -1.000000 | 0.00091693 |
3 | 8,6 | -0.248514 | -0.348582 | -1.000000 | 0.00091693 |
3 | 8,7 | -0.248877 | -0.403373 | -1.000000 | 0.00091693 |
3 | 9,A | 0.649609 | 0.205056 | 0.407535 | 0.00091693 |
3 | 9,2 | -0.253354 | 0.261562 | 0.520547 | 0.00091693 |
3 | 9,3 | -0.253131 | -0.236154 | -1.000000 | 0.00088828 |
3 | 9,4 | -0.251393 | -0.289773 | -1.000000 | 0.00091693 |
3 | 9,5 | -0.251081 | -0.349469 | -1.000000 | 0.00091693 |
3 | 9,6 | -0.251442 | -0.409251 | -1.000000 | 0.00091693 |
3 | 9,7 | -0.251805 | -0.463169 | -1.000000 | 0.00091693 |
3 | 9,8 | -0.117379 | -1.000000 | -1.000000 | 0.00091693 |
3 | 10,A | 1.500000 | 0.261585 | 0.520001 | 0.00366774 |
3 | 10,2 | -0.253950 | -0.231939 | -1.000000 | 0.00366774 |
3 | 10,3 | -0.253726 | -0.290150 | -1.000000 | 0.00355312 |
3 | 10,4 | -0.252002 | -0.349475 | -1.000000 | 0.00366774 |
3 | 10,5 | -0.251676 | -0.408983 | -1.000000 | 0.00366774 |
3 | 10,6 | -0.252037 | -0.463479 | -1.000000 | 0.00366774 |
3 | 10,7 | -0.117432 | -1.000000 | -1.000000 | 0.00366774 |
3 | 10,8 | 0.148013 | -1.000000 | -1.000000 | 0.00366774 |
3 | 10,9 | 0.402021 | -1.000000 | -1.000000 | 0.00366774 |
4 | 2,A | -0.207834 | 0.103396 | 0.065642 | 0.00091693 |
4 | 3,A | -0.206093 | 0.081321 | 0.064784 | 0.00091693 |
4 | 3,2 | -0.206778 | -0.058943 | -0.413556 | 0.00091693 |
4 | 4,A | -0.205765 | 0.059359 | 0.061384 | 0.00088828 |
4 | 4,2 | -0.206450 | -0.070721 | -0.392779 | 0.00088828 |
4 | 4,3 | -0.204709 | -0.039866 | -0.270088 | 0.00088828 |
4 | 5,A | -0.205477 | 0.039507 | 0.058561 | 0.00091693 |
4 | 5,2 | -0.206162 | -0.039067 | -0.271915 | 0.00091693 |
4 | 5,3 | -0.204415 | 0.044462 | -0.053778 | 0.00091693 |
4 | 5,4 | -0.204086 | 0.136064 | 0.195326 | 0.00088828 |
4 | 6,A | -0.075439 | 0.061357 | 0.122714 | 0.00091693 |
4 | 6,2 | -0.206498 | 0.043759 | -0.055925 | 0.00091693 |
4 | 6,3 | -0.204762 | 0.135735 | 0.194661 | 0.00091693 |
4 | 6,4 | -0.204433 | 0.237748 | 0.475496 | 0.00088828 |
4 | 6,5 | -0.204145 | 0.291032 | 0.582064 | 0.00091693 |
4 | 7,A | 0.179132 | 0.122910 | 0.245820 | 0.00091693 |
4 | 7,2 | -0.207010 | 0.133581 | 0.192586 | 0.00091693 |
4 | 7,3 | -0.205275 | 0.237003 | 0.474007 | 0.00091693 |
4 | 7,4 | -0.204947 | 0.289961 | 0.579922 | 0.00088828 |
4 | 7,5 | -0.204658 | -0.211107 | -1.000000 | 0.00091693 |
4 | 7,6 | -0.205020 | -0.274713 | -1.000000 | 0.00091693 |
4 | 8,A | 0.422460 | 0.176941 | 0.353882 | 0.00091693 |
4 | 8,2 | -0.209935 | 0.233223 | 0.466445 | 0.00091693 |
4 | 8,3 | -0.208200 | 0.286615 | 0.573231 | 0.00091693 |
4 | 8,4 | -0.207871 | -0.213642 | -1.000000 | 0.00088828 |
4 | 8,5 | -0.207596 | -0.276364 | -1.000000 | 0.00091693 |
4 | 8,6 | -0.207945 | -0.335305 | -1.000000 | 0.00091693 |
4 | 8,7 | -0.208458 | -0.393793 | -1.000000 | 0.00091693 |
4 | 9,A | 0.660128 | 0.230287 | 0.460573 | 0.00091693 |
4 | 9,2 | -0.210540 | 0.285054 | 0.570108 | 0.00091693 |
4 | 9,3 | -0.208805 | -0.214922 | -1.000000 | 0.00091693 |
4 | 9,4 | -0.208489 | -0.271877 | -1.000000 | 0.00088828 |
4 | 9,5 | -0.208201 | -0.335079 | -1.000000 | 0.00091693 |
4 | 9,6 | -0.208549 | -0.398546 | -1.000000 | 0.00091693 |
4 | 9,7 | -0.209063 | -0.455946 | -1.000000 | 0.00091693 |
4 | 9,8 | -0.080986 | -1.000000 | -1.000000 | 0.00091693 |
4 | 10,A | 1.500000 | 0.284756 | 0.569512 | 0.00366774 |
4 | 10,2 | -0.211100 | -0.211161 | -1.000000 | 0.00366774 |
4 | 10,3 | -0.209379 | -0.272204 | -1.000000 | 0.00366774 |
4 | 10,4 | -0.209049 | -0.335110 | -1.000000 | 0.00355312 |
4 | 10,5 | -0.208761 | -0.398320 | -1.000000 | 0.00366774 |
4 | 10,6 | -0.209109 | -0.456118 | -1.000000 | 0.00366774 |
4 | 10,7 | -0.078640 | -1.000000 | -1.000000 | 0.00366774 |
4 | 10,8 | 0.174513 | -1.000000 | -1.000000 | 0.00366774 |
4 | 10,9 | 0.420816 | -1.000000 | -1.000000 | 0.00366774 |
5 | 2,A | -0.161365 | 0.136331 | 0.136360 | 0.00091693 |
5 | 3,A | -0.161049 | 0.114758 | 0.135292 | 0.00091693 |
5 | 3,2 | -0.159978 | -0.018750 | -0.319957 | 0.00091693 |
5 | 4,A | -0.160756 | 0.093745 | 0.131755 | 0.00091693 |
5 | 4,2 | -0.159686 | -0.029875 | -0.300729 | 0.00091693 |
5 | 4,3 | -0.159363 | -0.000813 | -0.186651 | 0.00091693 |
5 | 5,A | -0.160487 | 0.074309 | 0.128250 | 0.00088828 |
5 | 5,2 | -0.159410 | 0.000104 | -0.187640 | 0.00088828 |
5 | 5,3 | -0.159093 | 0.078901 | 0.020782 | 0.00088828 |
5 | 5,4 | -0.158799 | 0.168199 | 0.262734 | 0.00088828 |
5 | 6,A | -0.039214 | 0.096952 | 0.193904 | 0.00091693 |
5 | 6,2 | -0.159923 | 0.077777 | 0.018164 | 0.00091693 |
5 | 6,3 | -0.159606 | 0.166979 | 0.260266 | 0.00091693 |
5 | 6,4 | -0.159312 | 0.265809 | 0.531619 | 0.00091693 |
5 | 6,5 | -0.159042 | 0.317284 | 0.634567 | 0.00088828 |
5 | 7,A | 0.202229 | 0.150933 | 0.301866 | 0.00091693 |
5 | 7,2 | -0.162864 | 0.162564 | 0.253741 | 0.00091693 |
5 | 7,3 | -0.162547 | 0.262368 | 0.524736 | 0.00091693 |
5 | 7,4 | -0.162253 | 0.313753 | 0.627507 | 0.00091693 |
5 | 7,5 | -0.161996 | -0.191462 | -1.000000 | 0.00088828 |
5 | 7,6 | -0.162511 | -0.258749 | -1.000000 | 0.00091693 |
5 | 8,A | 0.442049 | 0.205892 | 0.411784 | 0.00091693 |
5 | 8,2 | -0.163476 | 0.261021 | 0.522041 | 0.00091693 |
5 | 8,3 | -0.163158 | 0.312370 | 0.624740 | 0.00091693 |
5 | 8,4 | -0.162879 | -0.192510 | -1.000000 | 0.00091693 |
5 | 8,5 | -0.162608 | -0.258907 | -1.000000 | 0.00088828 |
5 | 8,6 | -0.163122 | -0.320968 | -1.000000 | 0.00091693 |
5 | 8,7 | -0.166064 | -0.383963 | -1.000000 | 0.00091693 |
5 | 9,A | 0.671737 | 0.257622 | 0.515244 | 0.00091693 |
5 | 9,2 | -0.164014 | 0.311107 | 0.622215 | 0.00091693 |
5 | 9,3 | -0.163711 | -0.193740 | -1.000000 | 0.00091693 |
5 | 9,4 | -0.163417 | -0.254427 | -1.000000 | 0.00091693 |
5 | 9,5 | -0.163146 | -0.320588 | -1.000000 | 0.00088828 |
5 | 9,6 | -0.163661 | -0.387555 | -1.000000 | 0.00091693 |
5 | 9,7 | -0.166603 | -0.449808 | -1.000000 | 0.00091693 |
5 | 9,8 | -0.044829 | -1.000000 | -1.000000 | 0.00091693 |
5 | 10,A | 1.500000 | 0.310216 | 0.620433 | 0.00366774 |
5 | 10,2 | -0.164524 | -0.189785 | -1.000000 | 0.00366774 |
5 | 10,3 | -0.164207 | -0.254752 | -1.000000 | 0.00366774 |
5 | 10,4 | -0.163913 | -0.320630 | -1.000000 | 0.00366774 |
5 | 10,5 | -0.163643 | -0.387195 | -1.000000 | 0.00355312 |
5 | 10,6 | -0.164158 | -0.449001 | -1.000000 | 0.00366774 |
5 | 10,7 | -0.044723 | -1.000000 | -1.000000 | 0.00366774 |
5 | 10,8 | 0.199942 | -1.000000 | -1.000000 | 0.00366774 |
5 | 10,9 | 0.440450 | -1.000000 | -1.000000 | 0.00366774 |
6 | 2,A | -0.148941 | 0.162421 | 0.185872 | 0.00091693 |
6 | 3,A | -0.148667 | 0.139951 | 0.184704 | 0.00091693 |
6 | 3,2 | -0.149892 | 0.001328 | -0.299784 | 0.00091693 |
6 | 4,A | -0.148414 | 0.118357 | 0.182114 | 0.00091693 |
6 | 4,2 | -0.149633 | -0.009733 | -0.274038 | 0.00091693 |
6 | 4,3 | -0.149359 | 0.032794 | -0.128778 | 0.00091693 |
6 | 5,A | -0.148169 | 0.100837 | 0.184093 | 0.00091693 |
6 | 5,2 | -0.149393 | 0.034041 | -0.129044 | 0.00091693 |
6 | 5,3 | -0.149119 | 0.120735 | 0.099125 | 0.00091693 |
6 | 5,4 | -0.148865 | 0.203892 | 0.331823 | 0.00091693 |
6 | 6,A | 0.011955 | 0.128964 | 0.257928 | 0.00088828 |
6 | 6,2 | -0.152286 | 0.117291 | 0.091955 | 0.00088828 |
6 | 6,3 | -0.152012 | 0.200333 | 0.324700 | 0.00088828 |
6 | 6,4 | -0.151757 | 0.293104 | 0.586209 | 0.00088828 |
6 | 6,5 | -0.151531 | 0.339415 | 0.678829 | 0.00088828 |
6 | 7,A | 0.281247 | 0.191253 | 0.382506 | 0.00091693 |
6 | 7,2 | -0.152855 | 0.197955 | 0.322394 | 0.00091693 |
6 | 7,3 | -0.152580 | 0.291568 | 0.583136 | 0.00091693 |
6 | 7,4 | -0.152340 | 0.337657 | 0.675314 | 0.00091693 |
6 | 7,5 | -0.152099 | -0.171346 | -1.000000 | 0.00091693 |
6 | 7,6 | -0.154993 | -0.240766 | -1.000000 | 0.00088828 |
6 | 8,A | 0.494445 | 0.240052 | 0.480105 | 0.00091693 |
6 | 8,2 | -0.153350 | 0.290241 | 0.580482 | 0.00091693 |
6 | 8,3 | -0.153090 | 0.336420 | 0.672840 | 0.00091693 |
6 | 8,4 | -0.152835 | -0.172100 | -1.000000 | 0.00091693 |
6 | 8,5 | -0.152595 | -0.239382 | -1.000000 | 0.00091693 |
6 | 8,6 | -0.155489 | -0.303311 | -1.000000 | 0.00088828 |
6 | 8,7 | -0.156059 | -0.365318 | -1.000000 | 0.00091693 |
6 | 9,A | 0.702950 | 0.286968 | 0.573935 | 0.00091693 |
6 | 9,2 | -0.153824 | 0.335281 | 0.670563 | 0.00091693 |
6 | 9,3 | -0.153549 | -0.173212 | -1.000000 | 0.00091693 |
6 | 9,4 | -0.153295 | -0.234705 | -1.000000 | 0.00091693 |
6 | 9,5 | -0.153055 | -0.301636 | -1.000000 | 0.00091693 |
6 | 9,6 | -0.155951 | -0.369905 | -1.000000 | 0.00088828 |
6 | 9,7 | -0.156500 | -0.426856 | -1.000000 | 0.00091693 |
6 | 9,8 | 0.009162 | -1.000000 | -1.000000 | 0.00091693 |
6 | 10,A | 1.500000 | 0.334613 | 0.669226 | 0.00366774 |
6 | 10,2 | -0.154442 | -0.169202 | -1.000000 | 0.00366774 |
6 | 10,3 | -0.154168 | -0.234886 | -1.000000 | 0.00366774 |
6 | 10,4 | -0.153913 | -0.301651 | -1.000000 | 0.00366774 |
6 | 10,5 | -0.153674 | -0.368421 | -1.000000 | 0.00366774 |
6 | 10,6 | -0.156548 | -0.426814 | -1.000000 | 0.00355312 |
6 | 10,7 | 0.009197 | -1.000000 | -1.000000 | 0.00366774 |
6 | 10,8 | 0.281635 | -1.000000 | -1.000000 | 0.00366774 |
6 | 10,9 | 0.494591 | -1.000000 | -1.000000 | 0.00366774 |
7 | 2,A | -0.473735 | 0.120737 | -0.180581 | 0.00091693 |
7 | 3,A | -0.473491 | 0.077289 | -0.182645 | 0.00091693 |
7 | 3,2 | -0.474559 | -0.119475 | -0.949118 | 0.00091693 |
7 | 4,A | -0.473232 | 0.036559 | -0.178852 | 0.00091693 |
7 | 4,2 | -0.474305 | -0.153286 | -0.891184 | 0.00091693 |
7 | 4,3 | -0.474060 | -0.069042 | -0.583711 | 0.00091693 |
7 | 5,A | -0.474314 | -0.007128 | -0.184212 | 0.00091693 |
7 | 5,2 | -0.475388 | -0.068693 | -0.586381 | 0.00091693 |
7 | 5,3 | -0.475143 | 0.083432 | -0.180897 | 0.00091693 |
7 | 5,4 | -0.474889 | 0.175175 | 0.114653 | 0.00091693 |
7 | 6,A | -0.104568 | 0.054483 | -0.010074 | 0.00091693 |
7 | 6,2 | -0.475959 | 0.083509 | -0.182622 | 0.00091693 |
7 | 6,3 | -0.475713 | 0.175017 | 0.113018 | 0.00091693 |
7 | 6,4 | -0.475473 | 0.260407 | 0.402606 | 0.00091693 |
7 | 6,5 | -0.476555 | 0.293108 | 0.468053 | 0.00091693 |
7 | 7,A | 0.401292 | 0.171590 | 0.222746 | 0.00088828 |
7 | 7,2 | -0.476479 | 0.173688 | 0.111258 | 0.00088828 |
7 | 7,3 | -0.476248 | 0.259479 | 0.399175 | 0.00088828 |
7 | 7,4 | -0.475994 | 0.292702 | 0.466480 | 0.00088828 |
7 | 7,5 | -0.477075 | -0.217865 | -1.000000 | 0.00088828 |
7 | 7,6 | -0.477646 | -0.276056 | -1.000000 | 0.00088828 |
7 | 8,A | 0.615795 | 0.220876 | 0.320372 | 0.00091693 |
7 | 8,2 | -0.476910 | 0.258155 | 0.395355 | 0.00091693 |
7 | 8,3 | -0.476665 | 0.292162 | 0.464122 | 0.00091693 |
7 | 8,4 | -0.476411 | -0.216650 | -1.000000 | 0.00091693 |
7 | 8,5 | -0.477493 | -0.275854 | -1.000000 | 0.00091693 |
7 | 8,6 | -0.478066 | -0.324429 | -1.000000 | 0.00091693 |
7 | 8,7 | -0.478567 | -0.364365 | -1.000000 | 0.00088828 |
7 | 9,A | 0.773263 | 0.255216 | 0.387570 | 0.00091693 |
7 | 9,2 | -0.477554 | 0.291847 | 0.462131 | 0.00091693 |
7 | 9,3 | -0.477309 | -0.216882 | -1.000000 | 0.00091693 |
7 | 9,4 | -0.477055 | -0.269599 | -1.000000 | 0.00091693 |
7 | 9,5 | -0.478138 | -0.324368 | -1.000000 | 0.00091693 |
7 | 9,6 | -0.478689 | -0.369001 | -1.000000 | 0.00091693 |
7 | 9,7 | -0.479214 | -0.410030 | -1.000000 | 0.00088828 |
7 | 9,8 | -0.109007 | -1.000000 | -1.000000 | 0.00091693 |
7 | 10,A | 1.500000 | 0.291454 | 0.463548 | 0.00366774 |
7 | 10,2 | -0.475044 | -0.212688 | -1.000000 | 0.00366774 |
7 | 10,3 | -0.474799 | -0.269217 | -1.000000 | 0.00366774 |
7 | 10,4 | -0.474546 | -0.323738 | -1.000000 | 0.00366774 |
7 | 10,5 | -0.475618 | -0.369137 | -1.000000 | 0.00366774 |
7 | 10,6 | -0.476193 | -0.410173 | -1.000000 | 0.00366774 |
7 | 10,7 | -0.108354 | -1.000000 | -1.000000 | 0.00355312 |
7 | 10,8 | 0.398196 | -1.000000 | -1.000000 | 0.00366774 |
7 | 10,9 | 0.615281 | -1.000000 | -1.000000 | 0.00366774 |
8 | 2,A | -0.510138 | 0.052400 | -0.314185 | 0.00091693 |
8 | 3,A | -0.509879 | 0.015663 | -0.307428 | 0.00091693 |
8 | 3,2 | -0.510811 | -0.187408 | -1.021621 | 0.00091693 |
8 | 4,A | -0.510949 | -0.028065 | -0.314334 | 0.00091693 |
8 | 4,2 | -0.511880 | -0.219089 | -1.003819 | 0.00091693 |
8 | 4,3 | -0.511626 | -0.212600 | -0.847284 | 0.00091693 |
8 | 5,A | -0.510897 | -0.068732 | -0.316464 | 0.00091693 |
8 | 5,2 | -0.511829 | -0.211400 | -0.847677 | 0.00091693 |
8 | 5,3 | -0.511574 | -0.059567 | -0.449031 | 0.00091693 |
8 | 5,4 | -0.512657 | 0.099532 | -0.022871 | 0.00091693 |
8 | 6,A | -0.382427 | -0.072047 | -0.252297 | 0.00091693 |
8 | 6,2 | -0.512328 | -0.059384 | -0.450460 | 0.00091693 |
8 | 6,3 | -0.512087 | 0.100484 | -0.021718 | 0.00091693 |
8 | 6,4 | -0.513156 | 0.199206 | 0.290356 | 0.00091693 |
8 | 6,5 | -0.513103 | 0.230133 | 0.352774 | 0.00091693 |
8 | 7,A | 0.107517 | 0.040692 | -0.028645 | 0.00091693 |
8 | 7,2 | -0.512783 | 0.099394 | -0.022901 | 0.00091693 |
8 | 7,3 | -0.512528 | 0.200030 | 0.291084 | 0.00091693 |
8 | 7,4 | -0.513597 | 0.229092 | 0.349503 | 0.00091693 |
8 | 7,5 | -0.513545 | -0.277274 | -1.000000 | 0.00091693 |
8 | 7,6 | -0.514046 | -0.331884 | -1.000000 | 0.00091693 |
8 | 8,A | 0.595375 | 0.152736 | 0.194301 | 0.00088828 |
8 | 8,2 | -0.513429 | 0.198861 | 0.287319 | 0.00088828 |
8 | 8,3 | -0.513175 | 0.228923 | 0.348233 | 0.00088828 |
8 | 8,4 | -0.514244 | -0.277171 | -1.000000 | 0.00088828 |
8 | 8,5 | -0.514192 | -0.330999 | -1.000000 | 0.00088828 |
8 | 8,6 | -0.514672 | -0.371589 | -1.000000 | 0.00088828 |
8 | 8,7 | -0.515118 | -0.412415 | -1.000000 | 0.00088828 |
8 | 9,A | 0.790948 | 0.194779 | 0.279775 | 0.00091693 |
8 | 9,2 | -0.510922 | 0.228210 | 0.347912 | 0.00091693 |
8 | 9,3 | -0.510668 | -0.276866 | -1.000000 | 0.00091693 |
8 | 9,4 | -0.511737 | -0.325404 | -1.000000 | 0.00091693 |
8 | 9,5 | -0.511675 | -0.371645 | -1.000000 | 0.00091693 |
8 | 9,6 | -0.512179 | -0.417255 | -1.000000 | 0.00091693 |
8 | 9,7 | -0.512624 | -0.454840 | -1.000000 | 0.00091693 |
8 | 9,8 | -0.386104 | -1.000000 | -1.000000 | 0.00088828 |
8 | 10,A | 1.500000 | 0.228882 | 0.348517 | 0.00366774 |
8 | 10,2 | -0.511354 | -0.271893 | -1.000000 | 0.00366774 |
8 | 10,3 | -0.511101 | -0.324221 | -1.000000 | 0.00366774 |
8 | 10,4 | -0.512159 | -0.370188 | -1.000000 | 0.00366774 |
8 | 10,5 | -0.512109 | -0.416875 | -1.000000 | 0.00366774 |
8 | 10,6 | -0.512612 | -0.454468 | -1.000000 | 0.00366774 |
8 | 10,7 | -0.383670 | -1.000000 | -1.000000 | 0.00366774 |
8 | 10,8 | 0.104526 | -1.000000 | -1.000000 | 0.00355312 |
8 | 10,9 | 0.591784 | -1.000000 | -1.000000 | 0.00366774 |
9 | 2,A | -0.540131 | -0.035002 | -0.446509 | 0.00091693 |
9 | 3,A | -0.541202 | -0.073354 | -0.448880 | 0.00091693 |
9 | 3,2 | -0.541971 | -0.266148 | -1.083943 | 0.00091693 |
9 | 4,A | -0.541140 | -0.112360 | -0.452323 | 0.00091693 |
9 | 4,2 | -0.541909 | -0.294053 | -1.065215 | 0.00091693 |
9 | 4,3 | -0.542979 | -0.287676 | -0.955758 | 0.00091693 |
9 | 5,A | -0.541066 | -0.150716 | -0.455924 | 0.00091693 |
9 | 5,2 | -0.541835 | -0.285428 | -0.953491 | 0.00091693 |
9 | 5,3 | -0.542919 | -0.211080 | -0.716426 | 0.00091693 |
9 | 5,4 | -0.542856 | -0.052188 | -0.298309 | 0.00091693 |
9 | 6,A | -0.421226 | -0.147898 | -0.394384 | 0.00091693 |
9 | 6,2 | -0.542313 | -0.209957 | -0.715210 | 0.00091693 |
9 | 6,3 | -0.543383 | -0.052069 | -0.299392 | 0.00091693 |
9 | 6,4 | -0.543320 | 0.116689 | 0.146896 | 0.00091693 |
9 | 6,5 | -0.543245 | 0.157633 | 0.229476 | 0.00091693 |
9 | 7,A | -0.182777 | -0.099039 | -0.286193 | 0.00091693 |
9 | 7,2 | -0.542938 | -0.052171 | -0.298024 | 0.00091693 |
9 | 7,3 | -0.544008 | 0.116649 | 0.145410 | 0.00091693 |
9 | 7,4 | -0.543945 | 0.157219 | 0.227339 | 0.00091693 |
9 | 7,5 | -0.543872 | -0.345808 | -1.000000 | 0.00091693 |
9 | 7,6 | -0.544316 | -0.390848 | -1.000000 | 0.00091693 |
9 | 8,A | 0.287611 | 0.007557 | -0.071618 | 0.00091693 |
9 | 8,2 | -0.540433 | 0.116784 | 0.147584 | 0.00091693 |
9 | 8,3 | -0.541503 | 0.156077 | 0.226257 | 0.00091693 |
9 | 8,4 | -0.541441 | -0.346546 | -1.000000 | 0.00091693 |
9 | 8,5 | -0.541357 | -0.390263 | -1.000000 | 0.00091693 |
9 | 8,6 | -0.541825 | -0.431593 | -1.000000 | 0.00091693 |
9 | 8,7 | -0.542453 | -0.468185 | -1.000000 | 0.00091693 |
9 | 9,A | 0.759204 | 0.114032 | 0.139970 | 0.00088828 |
9 | 9,2 | -0.540867 | 0.156445 | 0.226041 | 0.00088828 |
9 | 9,3 | -0.541939 | -0.346151 | -1.000000 | 0.00088828 |
9 | 9,4 | -0.541866 | -0.384540 | -1.000000 | 0.00088828 |
9 | 9,5 | -0.541793 | -0.430361 | -1.000000 | 0.00088828 |
9 | 9,6 | -0.542261 | -0.472500 | -1.000000 | 0.00088828 |
9 | 9,7 | -0.542889 | -0.506083 | -1.000000 | 0.00088828 |
9 | 9,8 | -0.421755 | -1.000000 | -1.000000 | 0.00088828 |
9 | 10,A | 1.500000 | 0.157075 | 0.226367 | 0.00366774 |
9 | 10,2 | -0.541272 | -0.340528 | -1.000000 | 0.00366774 |
9 | 10,3 | -0.542332 | -0.383833 | -1.000000 | 0.00366774 |
9 | 10,4 | -0.542271 | -0.428907 | -1.000000 | 0.00366774 |
9 | 10,5 | -0.542198 | -0.472034 | -1.000000 | 0.00366774 |
9 | 10,6 | -0.542666 | -0.505749 | -1.000000 | 0.00366774 |
9 | 10,7 | -0.422418 | -1.000000 | -1.000000 | 0.00366774 |
9 | 10,8 | -0.184682 | -1.000000 | -1.000000 | 0.00366774 |
9 | 10,9 | 0.284831 | -1.000000 | -1.000000 | 0.00355312 |
10 | 2,A | -0.574759 | -0.170282 | -0.621791 | 0.00339243 |
10 | 3,A | -0.574696 | -0.202427 | -0.621897 | 0.00339243 |
10 | 3,2 | -0.576778 | -0.366148 | -1.153556 | 0.00338355 |
10 | 4,A | -0.574637 | -0.235399 | -0.623600 | 0.00339243 |
10 | 4,2 | -0.576718 | -0.390032 | -1.136143 | 0.00338355 |
10 | 4,3 | -0.576668 | -0.373544 | -1.032544 | 0.00338355 |
10 | 5,A | -0.574558 | -0.268805 | -0.628058 | 0.00339243 |
10 | 5,2 | -0.576654 | -0.372158 | -1.032528 | 0.00338355 |
10 | 5,3 | -0.576589 | -0.307704 | -0.842668 | 0.00338355 |
10 | 5,4 | -0.576529 | -0.216968 | -0.582237 | 0.00338355 |
10 | 6,A | -0.463168 | -0.256283 | -0.571461 | 0.00339243 |
10 | 6,2 | -0.577277 | -0.307701 | -0.843776 | 0.00338355 |
10 | 6,3 | -0.577213 | -0.217393 | -0.583325 | 0.00338355 |
10 | 6,4 | -0.577153 | -0.053111 | -0.160846 | 0.00338355 |
10 | 6,5 | -0.577075 | 0.032111 | 0.009954 | 0.00338355 |
10 | 7,A | -0.240852 | -0.207463 | -0.468104 | 0.00339243 |
10 | 7,2 | -0.574772 | -0.218687 | -0.582087 | 0.00338355 |
10 | 7,3 | -0.574708 | -0.053600 | -0.160458 | 0.00338355 |
10 | 7,4 | -0.574649 | 0.031631 | 0.009895 | 0.00338355 |
10 | 7,5 | -0.574560 | -0.429420 | -1.000000 | 0.00338355 |
10 | 7,6 | -0.575187 | -0.472540 | -1.000000 | 0.00338355 |
10 | 8,A | -0.016539 | -0.156221 | -0.366613 | 0.00339243 |
10 | 8,2 | -0.575207 | -0.053527 | -0.161365 | 0.00338355 |
10 | 8,3 | -0.575143 | 0.031603 | 0.008891 | 0.00338355 |
10 | 8,4 | -0.575073 | -0.429583 | -1.000000 | 0.00338355 |
10 | 8,5 | -0.574996 | -0.472127 | -1.000000 | 0.00338355 |
10 | 8,6 | -0.575623 | -0.507515 | -1.000000 | 0.00338355 |
10 | 8,7 | -0.573132 | -0.539616 | -1.000000 | 0.00338355 |
10 | 9,A | 0.437866 | -0.053467 | -0.162810 | 0.00339243 |
10 | 9,2 | -0.575611 | 0.031051 | 0.006825 | 0.00338355 |
10 | 9,3 | -0.575537 | -0.429911 | -1.000000 | 0.00338355 |
10 | 9,4 | -0.575479 | -0.466919 | -1.000000 | 0.00338355 |
10 | 9,5 | -0.575402 | -0.506207 | -1.000000 | 0.00338355 |
10 | 9,6 | -0.576028 | -0.543461 | -1.000000 | 0.00338355 |
10 | 9,7 | -0.573537 | -0.572420 | -1.000000 | 0.00338355 |
10 | 9,8 | -0.461445 | -1.000000 | -1.000000 | 0.00338355 |
10 | 10,A | 1.500000 | 0.033761 | 0.011586 | 0.01346372 |
10 | 10,2 | -0.575975 | -0.425294 | -1.000000 | 0.01342848 |
10 | 10,3 | -0.575913 | -0.466330 | -1.000000 | 0.01342848 |
10 | 10,4 | -0.575855 | -0.505451 | -1.000000 | 0.01342848 |
10 | 10,5 | -0.575778 | -0.542476 | -1.000000 | 0.01342848 |
10 | 10,6 | -0.576404 | -0.571928 | -1.000000 | 0.01342848 |
10 | 10,7 | -0.463807 | -1.000000 | -1.000000 | 0.01342848 |
10 | 10,8 | -0.239373 | -1.000000 | -1.000000 | 0.01342848 |
10 | 10,9 | -0.014886 | -1.000000 | -1.000000 | 0.01342848 |
Splitting Possible
Blackjack Appendix 9 -- 8 Decks, Dealer Stands on Soft 17
Dealer | Player | Stand | Hit | Double | Split DAS -- No |
Split DAS -- Yes |
Probability |
---|---|---|---|---|---|---|---|
A | A,A | -0.769920 | -0.324962 | -1.048583 | -0.535262 | -0.535262 | 0.00028733 |
A | 2,2 | -0.769678 | -0.485228 | -1.539355 | -0.971484 | -0.971484 | 0.00030649 |
A | 3,3 | -0.769437 | -0.522404 | -1.519444 | -1.004719 | -1.004719 | 0.00030649 |
A | 4,4 | -0.769138 | -0.446774 | -1.177813 | -1.059646 | -1.059646 | 0.00030649 |
A | 5,5 | -0.768834 | -0.252986 | -0.623531 | -1.137129 | -1.137129 | 0.00030649 |
A | 6,6 | -0.766303 | -0.554908 | -1.000000 | -1.123184 | -1.123184 | 0.00030649 |
A | 7,7 | -0.767281 | -0.618053 | -1.000000 | -1.117856 | -1.117856 | 0.00030649 |
A | 8,8 | -0.768266 | -0.664938 | -1.000000 | -0.924145 | -0.924145 | 0.00030649 |
A | 9,9 | -0.375392 | -1.000000 | -1.000000 | -0.759939 | -0.759939 | 0.00030649 |
A | 10,10 | 0.149949 | -1.000000 | -1.000000 | -0.689716 | -0.689716 | 0.00505771 |
2 | A,A | -0.290603 | 0.083335 | -0.065179 | 0.482040 | 0.482040 | 0.00044414 |
2 | 2,2 | -0.292593 | -0.114785 | -0.585187 | -0.154609 | -0.079369 | 0.00041638 |
2 | 3,3 | -0.292508 | -0.141807 | -0.563445 | -0.210209 | -0.134443 | 0.00044414 |
2 | 4,4 | -0.292052 | -0.020323 | -0.201274 | -0.264257 | -0.188251 | 0.00044414 |
2 | 5,5 | -0.288545 | 0.187530 | 0.369607 | -0.325583 | -0.281172 | 0.00044414 |
2 | 6,6 | -0.289268 | -0.253341 | -1.000000 | -0.277397 | -0.200763 | 0.00044414 |
2 | 7,7 | -0.290011 | -0.367475 | -1.000000 | -0.198732 | -0.122595 | 0.00044414 |
2 | 8,8 | -0.290732 | -0.469110 | -1.000000 | 0.005356 | 0.080057 | 0.00044414 |
2 | 9,9 | 0.123607 | -1.000000 | -1.000000 | 0.156400 | 0.197658 | 0.00044414 |
2 | 10,10 | 0.638411 | -1.000000 | -1.000000 | -0.023047 | -0.023047 | 0.00727817 |
3 | A,A | -0.249656 | 0.105396 | 0.000430 | 0.529319 | 0.529319 | 0.00044414 |
3 | 2,2 | -0.251510 | -0.082188 | -0.503021 | -0.097979 | -0.008365 | 0.00044414 |
3 | 3,3 | -0.251061 | -0.107994 | -0.481425 | -0.140262 | -0.050980 | 0.00041638 |
3 | 4,4 | -0.247575 | 0.010694 | -0.129088 | -0.188057 | -0.097275 | 0.00044414 |
3 | 5,5 | -0.246918 | 0.211985 | 0.421564 | -0.250669 | -0.196540 | 0.00044414 |
3 | 6,6 | -0.247638 | -0.232403 | -1.000000 | -0.200527 | -0.103877 | 0.00044414 |
3 | 7,7 | -0.248377 | -0.353549 | -1.000000 | -0.127666 | -0.031884 | 0.00044414 |
3 | 8,8 | -0.249378 | -0.462197 | -1.000000 | 0.068712 | 0.152738 | 0.00044414 |
3 | 9,9 | 0.145696 | -1.000000 | -1.000000 | 0.207800 | 0.254176 | 0.00044414 |
3 | 10,10 | 0.648558 | -1.000000 | -1.000000 | 0.025766 | 0.025766 | 0.00727817 |
4 | A,A | -0.207125 | 0.128395 | 0.067963 | 0.578527 | 0.578527 | 0.00044414 |
4 | 2,2 | -0.208518 | -0.047417 | -0.417036 | -0.038071 | 0.066962 | 0.00044414 |
4 | 3,3 | -0.205038 | -0.069820 | -0.390280 | -0.061282 | 0.044869 | 0.00044414 |
4 | 4,4 | -0.204374 | 0.045695 | -0.053651 | -0.109719 | -0.002424 | 0.00041638 |
4 | 5,5 | -0.203797 | 0.238015 | 0.476030 | -0.170566 | -0.101879 | 0.00044414 |
4 | 6,6 | -0.204492 | -0.210944 | -1.000000 | -0.119870 | -0.001561 | 0.00044414 |
4 | 7,7 | -0.205534 | -0.339089 | -1.000000 | -0.051793 | 0.066743 | 0.00044414 |
4 | 8,8 | -0.211384 | -0.456748 | -1.000000 | 0.129383 | 0.222933 | 0.00044414 |
4 | 9,9 | 0.174514 | -1.000000 | -1.000000 | 0.270364 | 0.321426 | 0.00044414 |
4 | 10,10 | 0.659104 | -1.000000 | -1.000000 | 0.076499 | 0.076499 | 0.00727817 |
5 | A,A | -0.162429 | 0.159662 | 0.137072 | 0.629103 | 0.629103 | 0.00044414 |
5 | 2,2 | -0.160295 | -0.006838 | -0.320589 | 0.047044 | 0.168492 | 0.00044414 |
5 | 3,3 | -0.159662 | -0.029883 | -0.300505 | 0.021429 | 0.147448 | 0.00044414 |
5 | 4,4 | -0.159069 | 0.080384 | 0.021547 | -0.025529 | 0.104401 | 0.00044414 |
5 | 5,5 | -0.158528 | 0.266709 | 0.533417 | -0.081932 | 0.004401 | 0.00041638 |
5 | 6,6 | -0.159570 | -0.189754 | -1.000000 | -0.035524 | 0.104967 | 0.00044414 |
5 | 7,7 | -0.165451 | -0.327224 | -1.000000 | 0.018224 | 0.157073 | 0.00044414 |
5 | 8,8 | -0.166676 | -0.449825 | -1.000000 | 0.199232 | 0.302428 | 0.00044414 |
5 | 9,9 | 0.199923 | -1.000000 | -1.000000 | 0.337854 | 0.393623 | 0.00044414 |
5 | 10,10 | 0.670758 | -1.000000 | -1.000000 | 0.131756 | 0.131756 | 0.00727817 |
6 | A,A | -0.147712 | 0.187459 | 0.187954 | 0.678612 | 0.678612 | 0.00044414 |
6 | 2,2 | -0.150165 | 0.013750 | -0.300329 | 0.095682 | 0.237313 | 0.00044414 |
6 | 3,3 | -0.149613 | -0.009737 | -0.273997 | 0.067897 | 0.213080 | 0.00044414 |
6 | 4,4 | -0.149105 | 0.122018 | 0.099381 | 0.014999 | 0.164035 | 0.00044414 |
6 | 5,5 | -0.148624 | 0.296494 | 0.592989 | -0.042368 | 0.058205 | 0.00044414 |
6 | 6,6 | -0.154424 | -0.172989 | -1.000000 | -0.002346 | 0.157466 | 0.00041638 |
6 | 7,7 | -0.155561 | -0.308423 | -1.000000 | 0.094053 | 0.248742 | 0.00044414 |
6 | 8,8 | -0.156536 | -0.426855 | -1.000000 | 0.294064 | 0.406860 | 0.00044414 |
6 | 9,9 | 0.281479 | -1.000000 | -1.000000 | 0.405988 | 0.466133 | 0.00044414 |
6 | 10,10 | 0.703108 | -1.000000 | -1.000000 | 0.177345 | 0.177345 | 0.00727817 |
7 | A,A | -0.472657 | 0.164619 | -0.178282 | 0.472412 | 0.472412 | 0.00044414 |
7 | 2,2 | -0.474809 | -0.088690 | -0.949618 | -0.048579 | 0.008153 | 0.00044414 |
7 | 3,3 | -0.474314 | -0.153324 | -0.891195 | -0.108462 | -0.051586 | 0.00044414 |
7 | 4,4 | -0.473807 | 0.085502 | -0.178278 | -0.225917 | -0.168204 | 0.00044414 |
7 | 5,5 | -0.475985 | 0.259518 | 0.401662 | -0.329653 | -0.296742 | 0.00044414 |
7 | 6,6 | -0.477126 | -0.218600 | -1.000000 | -0.313801 | -0.255866 | 0.00044414 |
7 | 7,7 | -0.478169 | -0.329129 | -1.000000 | -0.105023 | -0.048918 | 0.00041638 |
7 | 8,8 | -0.478988 | -0.410029 | -1.000000 | 0.264576 | 0.319500 | 0.00044414 |
7 | 9,9 | 0.399563 | -1.000000 | -1.000000 | 0.334481 | 0.364447 | 0.00044414 |
7 | 10,10 | 0.772322 | -1.000000 | -1.000000 | 0.061681 | 0.061681 | 0.00727817 |
8 | A,A | -0.509202 | 0.094712 | -0.312243 | 0.357443 | 0.357443 | 0.00044414 |
8 | 2,2 | -0.511064 | -0.157443 | -1.022129 | -0.215029 | -0.176800 | 0.00044414 |
8 | 3,3 | -0.510557 | -0.218685 | -1.001173 | -0.269707 | -0.231032 | 0.00044414 |
8 | 4,4 | -0.512695 | -0.059294 | -0.451269 | -0.365079 | -0.325947 | 0.00044414 |
8 | 5,5 | -0.512604 | 0.199141 | 0.291445 | -0.481348 | -0.458202 | 0.00044414 |
8 | 6,6 | -0.513603 | -0.277348 | -1.000000 | -0.458017 | -0.418724 | 0.00044414 |
8 | 7,7 | -0.514468 | -0.376254 | -1.000000 | -0.429551 | -0.391334 | 0.00044414 |
8 | 8,8 | -0.515767 | -0.454672 | -1.000000 | -0.064082 | -0.027641 | 0.00041638 |
8 | 9,9 | 0.100941 | -1.000000 | -1.000000 | 0.209863 | 0.231110 | 0.00044414 |
8 | 10,10 | 0.790770 | -1.000000 | -1.000000 | -0.090050 | -0.090050 | 0.00727817 |
9 | A,A | -0.539362 | -0.000231 | -0.452269 | 0.235248 | 0.235248 | 0.00044414 |
9 | 2,2 | -0.540900 | -0.238579 | -1.081800 | -0.403973 | -0.385126 | 0.00044414 |
9 | 3,3 | -0.543042 | -0.294599 | -1.067483 | -0.451476 | -0.432996 | 0.00044414 |
9 | 4,4 | -0.542930 | -0.209943 | -0.716400 | -0.528123 | -0.509275 | 0.00044414 |
9 | 5,5 | -0.542781 | 0.116614 | 0.147967 | -0.651132 | -0.637534 | 0.00044414 |
9 | 6,6 | -0.543711 | -0.345349 | -1.000000 | -0.623318 | -0.604348 | 0.00044414 |
9 | 7,7 | -0.544944 | -0.436155 | -1.000000 | -0.592570 | -0.574705 | 0.00044414 |
9 | 8,8 | -0.539962 | -0.506614 | -1.000000 | -0.407864 | -0.389375 | 0.00044414 |
9 | 9,9 | -0.184712 | -1.000000 | -1.000000 | -0.092854 | -0.080698 | 0.00041638 |
9 | 10,10 | 0.756649 | -1.000000 | -1.000000 | -0.257088 | -0.257088 | 0.00727817 |
10 | A,A | -0.572677 | -0.135004 | -0.616845 | 0.022953 | 0.022953 | 0.00164751 |
10 | 2,2 | -0.576842 | -0.342832 | -1.153683 | -0.641336 | -0.641336 | 0.00163891 |
10 | 3,3 | -0.576714 | -0.389720 | -1.136132 | -0.683773 | -0.683773 | 0.00163891 |
10 | 4,4 | -0.576608 | -0.306594 | -0.842677 | -0.750924 | -0.750924 | 0.00163891 |
10 | 5,5 | -0.576450 | -0.052878 | -0.159774 | -0.851550 | -0.851550 | 0.00163891 |
10 | 6,6 | -0.577678 | -0.429630 | -1.000000 | -0.833092 | -0.833092 | 0.00163891 |
10 | 7,7 | -0.572696 | -0.513025 | -1.000000 | -0.781172 | -0.781172 | 0.00163891 |
10 | 8,8 | -0.573568 | -0.572399 | -1.000000 | -0.617779 | -0.617779 | 0.00163891 |
10 | 9,9 | -0.236981 | -1.000000 | -1.000000 | -0.465030 | -0.465030 | 0.00163891 |
10 | 10,10 | 0.437272 | -1.000000 | -1.000000 | -0.422795 | -0.422795 | 0.02643732 |
Internal Links
- For similar tables under other rules visit my blackjack appendix 9.
- For blackjack in general, visit my blackjack section.
- Blackjack House edge calculator.
- Blackjack Hand calculator.