I truly apologize for the bad formatting.
However, a good learning experience can be had by taking paper, pencil and ruler
and recreating these tables with all figures rounded down to ONE decimal place.
The following table displays the player's expected return, assuming basic strategy, the dealer does not have a blackjack, and the dealer stands on a soft 17, double after split allowed, infinite resplitting, split aces get one card each, and an infinite number of decks. Based on these rules the house edge is 0.5093975%.
Player's Expected Return Using Basic Strategy
PLAYER'S HAND DEALER'S UP CARD
2 3 4 5 6 7 8 9 10 Ace
5 -0.1282 -0.0953 -0.0615 -0.024 -0.0012 -0.1194 -0.1881 -0.2666 -0.3134 -0.2786
6 -0.1408 -0.1073 -0.0729 -0.0349 -0.013 -0.1519 -0.2172 -0.2926 -0.3377 -0.3041
7 -0.1092 -0.0766 -0.043 -0.0073 0.0292 -0.0688 -0.2106 -0.2854 -0.3191 -0.3101
8 -0.0218 0.008 0.0388 0.0708 0.115 0.0822 -0.0599 -0.2102 -0.2494 -0.197
9 0.0744 0.1208 0.1819 0.2431 0.3171 0.1719 0.0984 -0.0522 -0.153 -0.0657
10 0.3589 0.4093 0.4609 0.5125 0.5756 0.3924 0.2866 0.1443 0.0253 0.0814
11 0.4706 0.5178 0.566 0.6147 0.6674 0.4629 0.3507 0.2278 0.1797 0.143
12 -0.2534 -0.2337 -0.2111 -0.1672 -0.1537 -0.2128 -0.2716 -0.34 -0.381 -0.3505
13 -0.2928 -0.2523 -0.2111 -0.1672 -0.1537 -0.2691 -0.3236 -0.3872 -0.4253 -0.3969
14 -0.2928 -0.2523 -0.2111 -0.1672 -0.1537 -0.3213 -0.3719 -0.4309 -0.4663 -0.44
15 -0.2928 -0.2523 -0.2111 -0.1672 -0.1537 -0.3698 -0.4168 -0.4716 -0.5044 -0.48
16 -0.2928 -0.2523 -0.2111 -0.1672 -0.1537 -0.4148 -0.4584 -0.5093 -0.5398 -0.5171
17 -0.153 -0.1172 -0.0806 -0.0449 0.0117 -0.1068 -0.382 -0.4232 -0.4197 -0.478
18 0.1217 0.1483 0.1759 0.1996 0.2834 0.3996 0.106 -0.1832 -0.1783 -0.1002
19 0.3863 0.4044 0.4232 0.4395 0.496 0.616 0.5939 0.2876 0.0631 0.2776
20 0.64 0.6503 0.661 0.6704 0.704 0.7732 0.7918 0.7584 0.5545 0.6555
21 0.882 0.8853 0.8888 0.8918 0.9028 0.9259 0.9306 0.9392 0.9626 0.9222
A,2 0.0466 0.0741 0.1025 0.1334 0.1797 0.1224 0.0541 -0.0377 -0.1049 -0.0573
A,3 0.0224 0.0508 0.0801 0.126 0.1797 0.0795 0.0133 -0.0752 -0.1395 -0.0939
A,4 -0.0001 0.0292 0.0593 0.126 0.1797 0.037 -0.0271 -0.1122 -0.1737 -0.13
A,5 -0.021 0.0091 0.0584 0.126 0.1797 -0.0049 -0.0668 -0.1486 -0.2074 -0.1656
A,6 -0.0005 0.0551 0.1187 0.1824 0.2561 0.0538 -0.0729 -0.1498 -0.1969 -0.1796
A,7 0.1217 0.1776 0.237 0.2952 0.3815 0.3996 0.106 -0.1007 -0.1438 -0.0929
A,8 0.3863 0.4044 0.4232 0.4395 0.496 0.616 0.5939 0.2876 0.0631 0.2776
A,9 0.64 0.6503 0.661 0.6704 0.704 0.7732 0.7918 0.7584 0.5545 0.6555
2,2 -0.0842 -0.0153 0.0597 0.1526 0.2282 0.0073 -0.1593 -0.2407 -0.2892 -0.2531
3,3 -0.1377 -0.056 0.0305 0.1272 0.2026 -0.0525 -0.2172 -0.2926 -0.3377 -0.3041
4,4 -0.0218 0.008 0.0388 0.082 0.1516 0.0822 -0.0599 -0.2102 -0.2494 -0.197
5,5 0.3589 0.4093 0.4609 0.5125 0.5756 0.3924 0.2866 0.1443 0.0253 0.0814
6,6 -0.2123 -0.119 -0.0202 0.0824 0.1555 -0.2128 -0.2716 -0.34 -0.381 -0.3505
7,7 -0.1305 -0.0425 0.0508 0.1485 0.2498 -0.0485 -0.3719 -0.4309 -0.4663 -0.44
8,8 0.076 0.1485 0.2234 0.3002 0.4127 0.3254 -0.0202 -0.3865 -0.4803 -0.3717
9,9 0.1961 0.2592 0.3243 0.3931 0.4725 0.3996 0.2352 -0.0774 -0.1783 -0.1002
10,10 0.64 0.6503 0.661 0.6704 0.704 0.7732 0.7918 0.7584 0.5545 0.6555
A,A 0.4706 0.5178 0.566 0.6147 0.6674 0.4629 0.3507 0.2278 0.1797 0.1091
The next table shows the expected return for the player's first two cards,
before the dealer's up card is known.
PLAYER HAND EXPECTED VALUE
(Hard Hands)
5 -0.219214
6 -0.238748
7 -0.213827
8 -0.126898
9 -0.005401
10 0.205780
11 0.292516
12 -0.316036
13 -0.347475
14 -0.372529
15 -0.395793
16 -0.417396
17 -0.291688
18 -0.007066
19 0.265895
Soft
13 -0.028239
14 -0.055287
15 -0.081151
16 -0.104935
17 -0.078749
18 0.031321
19 0.265895
20 0.579612
21 1.428994
Splits
A,A 0.277241
2,2 -0.146920
3,3 -0.189896
4,4 -0.123221
5,5 0.205780
6,6 -0.246393
7,7 -0.247467
8,8 -0.145153
9,9 0.066113
X,X 0.579612
The next table shows the expected return for the player's first card, before the player's second card or the dealer's up card is known.
Expected Value of First Card
PLAYER HAND EXPECTED VALUE
2 -0.134238
3 -0.155243
4 -0.178283
5 -0.197845
6 -0.211117
7 -0.182054
8 -0.087134
9 -0.010700
10 0.143489
A 0.501668
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