Blackjack Appendix 5: Infinite Deck Expected Return

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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
Player's Hand	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

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