Share this

Wizard Recommends

  • Up to $12,250 in Bonuses Play
  • $12,500 Welcome Bonus Play
  • 100% Welcome Bonus Play
Last Updated: October 31, 2019

On This Page

Blackjack Appendix 9 — Five decks, dealer stands on soft 17, no hole card.

Introduction

Following are the expected returns for each initial hands in blackjack under the following rules.

  • 5 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: -0.0049139.
  • Player may not double after split: -0.0063157

Splitting Not Possible



Blackjack Appendix 9 - 5 Decks, Dealer Stands on Soft 17

Dealer Player Stand Hit Double Probability
DealerPlayerStandHitDoubleProbability
A2,A-0.770019-0.352481-1.0485560.00060255
A3,A-0.769826-0.377377-1.0488400.00060255
A3,2-0.769631-0.505175-1.5392620.00063426
A4,A-0.769586-0.404354-1.0520430.00060255
A4,2-0.769420-0.524899-1.5198310.00063426
A4,3-0.769224-0.529573-1.4002680.00063426
A5,A-0.769381-0.430844-1.0566320.00060255
A5,2-0.769183-0.527851-1.4001890.00063426
A5,3-0.768986-0.449576-1.1784790.00063426
A5,4-0.768743-0.357039-0.9153940.00063426
A6,A-0.641152-0.437769-0.9915100.00060255
A6,2-0.767121-0.450818-1.1794870.00063426
A6,3-0.766923-0.358420-0.9166670.00063426
A6,4-0.766679-0.255279-0.6240650.00063426
A6,5-0.766422-0.208987-0.5303520.00063426
A7,A-0.380360-0.377287-0.8720150.00060255
A7,2-0.767904-0.358616-0.9167130.00063426
A7,3-0.767707-0.254489-0.6252390.00063426
A7,4-0.767447-0.209190-0.5328220.00063426
A7,5-0.767211-0.556069-1.0000000.00063426
A7,6-0.765183-0.590953-1.0000000.00063426
A8,A-0.118404-0.316700-0.7530360.00060255
A8,2-0.768694-0.254495-0.6271450.00063426
A8,3-0.768481-0.209251-0.5349990.00063426
A8,4-0.768241-0.555979-1.0000000.00063426
A8,5-0.768007-0.589284-1.0000000.00063426
A8,6-0.765982-0.616134-1.0000000.00063426
A8,7-0.766773-0.638631-1.0000000.00063426
A9,A0.143571-0.257012-0.6359010.00060255
A9,2-0.769464-0.209355-0.5371430.00063426
A9,3-0.769272-0.555844-1.0000000.00063426
A9,4-0.769033-0.582734-1.0000000.00063426
A9,5-0.768799-0.614348-1.0000000.00063426
A9,6-0.766777-0.643940-1.0000000.00063426
A9,7-0.767562-0.664551-1.0000000.00063426
A9,8-0.637072-1.000000-1.0000000.00063426
A10,A1.500000-0.207080-0.5346050.00242380
A10,2-0.770243-0.549891-1.0000000.00255137
A10,3-0.770052-0.581773-1.0000000.00255137
A10,4-0.769813-0.612760-1.0000000.00255137
A10,5-0.769580-0.642285-1.0000000.00255137
A10,6-0.767554-0.664451-1.0000000.00255137
A10,7-0.637045-1.000000-1.0000000.00255137
A10,8-0.374357-1.000000-1.0000000.00255137
A10,9-0.111063-1.000000-1.0000000.00255137
22,A-0.2908880.045267-0.0656230.00087488
23,A-0.2908360.021333-0.0663480.00092093
23,2-0.292457-0.128660-0.5849130.00087488
24,A-0.290505-0.002275-0.0707600.00092093
24,2-0.292085-0.142316-0.5626260.00087488
24,3-0.292034-0.111091-0.4332040.00092093
25,A-0.287662-0.023189-0.0737920.00092093
25,2-0.289243-0.107385-0.4291340.00087488
25,3-0.289191-0.020313-0.1967320.00092093
25,4-0.2888180.0785730.0719980.00092093
26,A-0.1489290.000933-0.0033240.00092093
26,2-0.289820-0.019934-0.1964050.00087488
26,3-0.2897660.0781060.0713410.00092093
26,4-0.2893640.1893390.3733020.00092093
26,5-0.2865340.2471810.4891710.00092093
27,A0.1244570.0633670.1212300.00092093
27,2-0.2904150.0764270.0720130.00087488
27,3-0.2903330.1886340.3719110.00092093
27,4-0.2899610.2449600.4844160.00092093
27,5-0.287132-0.253259-1.0000000.00092093
27,6-0.287713-0.312472-1.0000000.00092093
28,A0.3890790.1231330.2407780.00092093
28,2-0.2909510.1880040.3709790.00087488
28,3-0.2908980.2439600.4824320.00092093
28,4-0.290528-0.254598-1.0000000.00092093
28,5-0.287700-0.312322-1.0000000.00092093
28,6-0.288277-0.362359-1.0000000.00092093
28,7-0.288912-0.411712-1.0000000.00092093
29,A0.6428520.1838610.3625580.00092093
29,2-0.2917570.2430140.4805930.00087488
29,3-0.291705-0.255866-1.0000000.00092093
29,4-0.291336-0.304868-1.0000000.00092093
29,5-0.288506-0.361578-1.0000000.00092093
29,6-0.289122-0.419241-1.0000000.00092093
29,7-0.289721-0.468193-1.0000000.00092093
29,8-0.149889-1.000000-1.0000000.00092093
210,A1.5000000.2399920.4735700.00368372
210,2-0.296430-0.251539-1.0000000.00349954
210,3-0.296378-0.307006-1.0000000.00368372
210,4-0.296008-0.363341-1.0000000.00368372
210,5-0.293215-0.420322-1.0000000.00368372
210,6-0.293794-0.469924-1.0000000.00368372
210,7-0.154003-1.000000-1.0000000.00368372
210,80.121071-1.000000-1.0000000.00368372
210,90.386144-1.000000-1.0000000.00368372
32,A-0.2496130.0735820.0005010.00092093
33,A-0.2492860.049679-0.0026330.00087488
33,2-0.250764-0.095403-0.5015290.00087488
34,A-0.2464620.027932-0.0049000.00092093
34,2-0.247941-0.106697-0.4754160.00092093
34,3-0.247572-0.076909-0.3517690.00087488
35,A-0.2459300.006744-0.0094790.00092093
35,2-0.247409-0.073442-0.3496370.00092093
35,3-0.2470410.010724-0.1250870.00087488
35,4-0.2442000.1090920.1358490.00092093
36,A-0.1126100.0302810.0585860.00092093
36,2-0.2479760.011211-0.1247440.00092093
36,3-0.2475790.1084620.1341700.00087488
36,4-0.2447680.2146460.4271730.00092093
36,5-0.2442340.2705470.5391180.00092093
37,A0.1516950.0908290.1796770.00092093
37,2-0.2485370.1068770.1348970.00092093
37,3-0.2481690.2137740.4251730.00087488
37,4-0.2453590.2687970.5356140.00092093
37,5-0.244827-0.231532-1.0000000.00092093
37,6-0.245395-0.293821-1.0000000.00092093
38,A0.4070940.1536550.3051920.00092093
38,2-0.2493400.2127650.4232750.00092093
38,3-0.2489750.2669790.5317270.00087488
38,4-0.246166-0.232893-1.0000000.00092093
38,5-0.245632-0.293991-1.0000000.00092093
38,6-0.246239-0.348484-1.0000000.00092093
38,7-0.246831-0.401616-1.0000000.00092093
39,A0.6491970.2044150.4064210.00092093
39,2-0.2540620.2622910.5221720.00092093
39,3-0.253698-0.237669-1.0000000.00087488
39,4-0.250887-0.288919-1.0000000.00092093
39,5-0.250390-0.349934-1.0000000.00092093
39,6-0.250960-0.411084-1.0000000.00092093
39,7-0.251553-0.462810-1.0000000.00092093
39,8-0.117509-1.000000-1.0000000.00092093
310,A1.5000000.2623450.5213380.00368372
310,2-0.255001-0.230882-1.0000000.00368372
310,3-0.254636-0.289521-1.0000000.00349954
310,4-0.251862-0.349938-1.0000000.00368372
310,5-0.251327-0.410650-1.0000000.00368372
310,6-0.251899-0.463305-1.0000000.00368372
310,7-0.117561-1.000000-1.0000000.00368372
310,80.147818-1.000000-1.0000000.00368372
310,90.400583-1.000000-1.0000000.00368372
42,A-0.2059070.1039550.0699580.00092093
43,A-0.2030880.0820780.0686000.00092093
43,2-0.204189-0.057417-0.4083790.00092093
44,A-0.2025450.0594270.0632010.00087488
44,2-0.203647-0.069400-0.3871440.00087488
44,3-0.200827-0.037954-0.2626480.00087488
45,A-0.2020810.0392520.0586870.00092093
45,2-0.203185-0.036677-0.2656100.00092093
45,3-0.2003480.047908-0.0461130.00092093
45,4-0.1998020.1403770.2034780.00087488
46,A-0.0723120.0626030.1252050.00092093
46,2-0.2037080.046784-0.0495590.00092093
46,3-0.2009000.1398380.2023870.00092093
46,4-0.2003560.2421800.4843600.00087488
46,5-0.1998920.2959160.5918320.00092093
47,A0.1811290.1255960.2511920.00092093
47,2-0.2045470.1363700.1990450.00092093
47,3-0.2017410.2409640.4819290.00092093
47,4-0.2011990.2941900.5883790.00087488
47,5-0.200733-0.209614-1.0000000.00092093
47,6-0.201324-0.274989-1.0000000.00092093
48,A0.4219980.1777600.3555200.00092093
48,2-0.2092640.2348750.4697500.00092093
48,3-0.2064590.2887860.5775730.00092093
48,4-0.205914-0.213700-1.0000000.00087488
48,5-0.205485-0.277656-1.0000000.00092093
48,6-0.206040-0.335533-1.0000000.00092093
48,7-0.206884-0.392692-1.0000000.00092093
49,A0.6595770.2301850.4603700.00092093
49,2-0.2102280.2862860.5725730.00092093
49,3-0.207421-0.215767-1.0000000.00092093
49,4-0.206913-0.270448-1.0000000.00087488
49,5-0.206448-0.335169-1.0000000.00092093
49,6-0.207004-0.400322-1.0000000.00092093
49,7-0.207848-0.455732-1.0000000.00092093
49,8-0.081243-1.000000-1.0000000.00092093
410,A1.5000000.2858240.5716150.00368372
410,2-0.211129-0.209725-1.0000000.00368372
410,3-0.208359-0.270989-1.0000000.00368372
410,4-0.207815-0.335228-1.0000000.00349954
410,5-0.207349-0.399963-1.0000000.00368372
410,6-0.207905-0.456012-1.0000000.00368372
410,7-0.077468-1.000000-1.0000000.00368372
410,80.173694-1.000000-1.0000000.00368372
410,90.419395-1.000000-1.0000000.00368372
52,A-0.1578400.1381380.1426550.00092093
53,A-0.1573280.1165050.1409450.00092093
53,2-0.155567-0.015557-0.3111350.00092093
54,A-0.1568510.0948420.1352780.00092093
54,2-0.155092-0.026797-0.2916440.00092093
54,3-0.1545640.003132-0.1768060.00092093
55,A-0.1564160.0748520.1296880.00087488
55,2-0.1546390.004608-0.1784060.00087488
55,3-0.1541260.0838450.0313790.00087488
55,4-0.1536470.1744100.2747650.00087488
56,A-0.0357160.1004550.2009100.00092093
56,2-0.1554790.0820250.0271390.00092093
56,3-0.1549650.1724320.2707630.00092093
56,4-0.1544880.2716360.5432730.00092093
56,5-0.1540490.3233520.6467030.00087488
57,A0.2038520.1529320.3058640.00092093
57,2-0.1602340.1653030.2602100.00092093
57,3-0.1597220.2660720.5321440.00092093
57,4-0.1592430.3176450.6352900.00092093
57,5-0.158841-0.190359-1.0000000.00087488
57,6-0.159683-0.259602-1.0000000.00092093
58,A0.4435880.2076420.4152830.00092093
58,2-0.1612160.2639050.5278090.00092093
58,3-0.1607020.3154150.6308310.00092093
58,4-0.160260-0.192045-1.0000000.00092093
58,5-0.159821-0.259854-1.0000000.00087488
58,6-0.160664-0.320698-1.0000000.00092093
58,7-0.165421-0.383059-1.0000000.00092093
59,A0.6725740.2584550.5169110.00092093
59,2-0.1620590.3134000.6268010.00092093
59,3-0.161582-0.194015-1.0000000.00092093
59,4-0.161103-0.252651-1.0000000.00092093
59,5-0.160664-0.320087-1.0000000.00087488
59,6-0.161508-0.388812-1.0000000.00092093
59,7-0.166265-0.449984-1.0000000.00092093
59,8-0.044768-1.000000-1.0000000.00092093
510,A1.5000000.3119560.6239120.00368372
510,2-0.162895-0.187665-1.0000000.00368372
510,3-0.162382-0.253182-1.0000000.00368372
510,4-0.161903-0.320162-1.0000000.00368372
510,5-0.161465-0.388242-1.0000000.00349954
510,6-0.162308-0.448672-1.0000000.00368372
510,7-0.044591-1.000000-1.0000000.00368372
510,80.200166-1.000000-1.0000000.00368372
510,90.441025-1.000000-1.0000000.00368372
62,A-0.1460610.1628740.1895720.00092093
63,A-0.1456170.1404500.1877170.00092093
63,2-0.1475860.002841-0.2951720.00092093
64,A-0.1452060.1184410.1835660.00092093
64,2-0.147160-0.007754-0.2692340.00092093
64,3-0.1467150.034977-0.1229640.00092093
65,A-0.1448190.1020620.1867350.00092093
65,2-0.1467860.036980-0.1234190.00092093
65,3-0.1463420.1242410.1064870.00092093
65,4-0.1459300.2086840.3408120.00092093
66,A0.0120390.1294800.2589590.00087488
66,2-0.1514640.1186680.0948850.00087488
66,3-0.1510210.2029340.3293020.00087488
66,4-0.1506060.2963130.5926270.00087488
66,5-0.1502680.3428700.6857400.00087488
67,A0.2798710.1915180.3830350.00092093
67,2-0.1523750.1990900.3255630.00092093
67,3-0.1519290.2938340.5876680.00092093
67,4-0.1515510.3400430.6800860.00092093
67,5-0.151177-0.171864-1.0000000.00092093
67,6-0.155855-0.243910-1.0000000.00087488
68,A0.4935040.2401960.4803920.00092093
68,2-0.1531460.2917130.5834260.00092093
68,3-0.1527380.3380680.6761360.00092093
68,4-0.152324-0.173059-1.0000000.00092093
68,5-0.151950-0.241666-1.0000000.00092093
68,6-0.156629-0.304890-1.0000000.00087488
68,7-0.157544-0.365018-1.0000000.00092093
69,A0.7023180.2864510.5729030.00092093
69,2-0.1539240.3362280.6724550.00092093
69,3-0.153479-0.174853-1.0000000.00092093
69,4-0.153066-0.234150-1.0000000.00092093
69,5-0.152691-0.302193-1.0000000.00092093
69,6-0.157376-0.372391-1.0000000.00087488
69,7-0.158235-0.424394-1.0000000.00092093
69,80.007575-1.000000-1.0000000.00092093
610,A1.5000000.3351680.6703370.00368372
610,2-0.154898-0.168399-1.0000000.00368372
610,3-0.154454-0.234429-1.0000000.00368372
610,4-0.154041-0.302206-1.0000000.00368372
610,5-0.153669-0.369991-1.0000000.00368372
610,6-0.158297-0.424318-1.0000000.00349954
610,70.007629-1.000000-1.0000000.00368372
610,80.280536-1.000000-1.0000000.00368372
610,90.493747-1.000000-1.0000000.00368372
72,A-0.4727440.119719-0.1786040.00092093
73,A-0.4723580.075937-0.1819190.00092093
73,2-0.474070-0.119485-0.9481400.00092093
74,A-0.4719350.036285-0.1757990.00092093
74,2-0.473661-0.154116-0.8894540.00092093
74,3-0.473272-0.069182-0.5803090.00092093
75,A-0.473694-0.008487-0.1844560.00092093
75,2-0.475420-0.068616-0.5846310.00092093
75,3-0.4750320.084176-0.1767830.00092093
75,4-0.4746200.1772050.1209440.00092093
76,A-0.1032340.054887-0.0078870.00092093
76,2-0.4763340.084280-0.1795730.00092093
76,3-0.4759430.1769190.1183030.00092093
76,4-0.4755690.2625190.4087470.00092093
76,5-0.4773260.2936460.4710960.00092093
77,A0.4023120.1720890.2243940.00087488
77,2-0.4771660.1747390.1154650.00087488
77,3-0.4768130.2610180.4032080.00087488
77,4-0.4764030.2929920.4685720.00087488
77,5-0.478159-0.220960-1.0000000.00087488
77,6-0.479073-0.280341-1.0000000.00087488
78,A0.6156850.2210180.3207140.00092093
78,2-0.4778310.2589150.3971340.00092093
78,3-0.4774410.2921640.4648610.00092093
78,4-0.477032-0.218967-1.0000000.00092093
78,5-0.478789-0.279989-1.0000000.00092093
78,6-0.479708-0.326350-1.0000000.00092093
78,7-0.480491-0.361086-1.0000000.00087488
79,A0.7732800.2541900.3846260.00092093
79,2-0.4788700.2916540.4616540.00092093
79,3-0.478481-0.219335-1.0000000.00092093
79,4-0.478071-0.269928-1.0000000.00092093
79,5-0.479831-0.326253-1.0000000.00092093
79,6-0.480694-0.368536-1.0000000.00092093
79,7-0.481538-0.407149-1.0000000.00087488
79,8-0.110304-1.000000-1.0000000.00092093
710,A1.5000000.2910250.4639350.00368372
710,2-0.474847-0.212599-1.0000000.00368372
710,3-0.474458-0.269307-1.0000000.00368372
710,4-0.474051-0.325233-1.0000000.00368372
710,5-0.475782-0.368758-1.0000000.00368372
710,6-0.476706-0.407380-1.0000000.00368372
710,7-0.109315-1.000000-1.0000000.00349954
710,80.397381-1.000000-1.0000000.00368372
710,90.614859-1.000000-1.0000000.00368372
82,A-0.5099140.051380-0.3140300.00092093
83,A-0.5094910.017137-0.3031540.00092093
83,2-0.510985-0.186969-1.0219690.00092093
84,A-0.511216-0.028677-0.3142790.00092093
84,2-0.512710-0.220230-1.0053790.00092093
84,3-0.512300-0.213826-0.8474070.00092093
85,A-0.511145-0.069926-0.3177060.00092093
85,2-0.512639-0.211891-0.8480620.00092093
85,3-0.512227-0.059364-0.4472530.00092093
85,4-0.5139860.100232-0.0207470.00092093
86,A-0.382706-0.071509-0.2505680.00092093
86,2-0.513413-0.059078-0.4495020.00092093
86,3-0.5130400.101785-0.0188370.00092093
86,4-0.5147620.1999500.2926020.00092093
86,5-0.5146880.2302010.3539980.00092093
87,A0.1084950.041296-0.0278130.00092093
87,2-0.5141390.100021-0.0206920.00092093
87,3-0.5137280.2013170.2938260.00092093
87,4-0.5154510.2285390.3487740.00092093
87,5-0.515377-0.280755-1.0000000.00092093
87,6-0.516159-0.336925-1.0000000.00092093
88,A0.5963170.1530430.1937610.00087488
88,2-0.5151810.1994370.2877660.00087488
88,3-0.5147710.2282680.3467400.00087488
88,4-0.516495-0.280575-1.0000000.00087488
88,5-0.516423-0.335502-1.0000000.00087488
88,6-0.517150-0.371387-1.0000000.00087488
88,7-0.517849-0.409758-1.0000000.00087488
89,A0.7904260.1928570.2756260.00092093
89,2-0.5111620.2271370.3462310.00092093
89,3-0.510752-0.280077-1.0000000.00092093
89,4-0.512478-0.326498-1.0000000.00092093
89,5-0.512378-0.371486-1.0000000.00092093
89,6-0.513165-0.417541-1.0000000.00092093
89,7-0.513865-0.452651-1.0000000.00092093
89,8-0.388594-1.000000-1.0000000.00087488
810,A1.5000000.2282220.3472020.00368372
810,2-0.511858-0.272089-1.0000000.00368372
810,3-0.511451-0.324587-1.0000000.00368372
810,4-0.513148-0.369138-1.0000000.00368372
810,5-0.513079-0.416938-1.0000000.00368372
810,6-0.513866-0.452055-1.0000000.00368372
810,7-0.384679-1.000000-1.0000000.00368372
810,80.103685-1.000000-1.0000000.00349954
810,90.590534-1.000000-1.0000000.00368372
92,A-0.538290-0.033353-0.4405160.00092093
93,A-0.540020-0.072257-0.4443400.00092093
93,2-0.541252-0.265861-1.0825050.00092093
94,A-0.539922-0.112465-0.4498590.00092093
94,2-0.541154-0.294910-1.0636170.00092093
94,3-0.542881-0.289076-0.9549640.00092093
95,A-0.539800-0.151984-0.4556460.00092093
95,2-0.541030-0.285452-0.9513080.00092093
95,3-0.542794-0.211634-0.7151960.00092093
95,4-0.542692-0.052190-0.2966880.00092093
96,A-0.420057-0.146765-0.3903760.00092093
96,2-0.541811-0.209820-0.7132240.00092093
96,3-0.543538-0.051999-0.2984520.00092093
96,4-0.5434360.1167780.1484340.00092093
96,5-0.5433120.1572340.2304710.00092093
97,A-0.182527-0.098013-0.2837210.00092093
97,2-0.542797-0.052171-0.2961920.00092093
97,3-0.5445240.1167220.1460710.00092093
97,4-0.5444230.1565880.2270800.00092093
97,5-0.544301-0.349336-1.0000000.00092093
97,6-0.544995-0.393092-1.0000000.00092093
98,A0.2876240.007348-0.0707890.00092093
98,2-0.5387810.1169670.1496000.00092093
98,3-0.5405090.1547430.2253350.00092093
98,4-0.540410-0.350509-1.0000000.00092093
98,5-0.540260-0.392151-1.0000000.00092093
98,6-0.541015-0.432006-1.0000000.00092093
98,7-0.542010-0.466128-1.0000000.00092093
99,A0.7597200.1125300.1373690.00087488
99,2-0.5394810.1553380.2249950.00087488
99,3-0.541211-0.349883-1.0000000.00087488
99,4-0.541084-0.382955-1.0000000.00087488
99,5-0.540965-0.430011-1.0000000.00087488
99,6-0.541720-0.473064-1.0000000.00087488
99,7-0.542714-0.504117-1.0000000.00087488
99,8-0.420910-1.000000-1.0000000.00087488
910,A1.5000000.1563660.2255160.00368372
910,2-0.540134-0.340841-1.0000000.00368372
910,3-0.541836-0.381811-1.0000000.00368372
910,4-0.541740-0.427674-1.0000000.00368372
910,5-0.541620-0.472309-1.0000000.00368372
910,6-0.542375-0.503581-1.0000000.00368372
910,7-0.421958-1.000000-1.0000000.00368372
910,8-0.185606-1.000000-1.0000000.00368372
910,90.283153-1.000000-1.0000000.00349954
102,A-0.574135-0.168190-0.6178030.00341139
103,A-0.574032-0.200434-0.6179700.00341139
103,2-0.577372-0.366068-1.1547440.00339705
104,A-0.573948-0.234236-0.6207250.00341139
104,2-0.577286-0.390743-1.1371860.00339705
104,3-0.577218-0.374785-1.0331510.00339705
105,A-0.573818-0.268936-0.6278960.00341139
105,2-0.577193-0.372557-1.0331220.00339705
105,3-0.577087-0.308028-0.8424780.00339705
105,4-0.577000-0.216243-0.5807950.00339705
106,A-0.462433-0.254838-0.5681210.00341139
106,2-0.578174-0.308039-0.8442160.00339705
106,3-0.578069-0.216933-0.5824890.00339705
106,4-0.577982-0.052830-0.1602350.00339705
106,5-0.5778540.0313710.0086840.00339705
107,A-0.240453-0.206103-0.4644950.00341139
107,2-0.574158-0.219010-0.5805330.00339705
107,3-0.574053-0.053615-0.1596160.00339705
107,4-0.5739690.0306090.0086000.00339705
107,5-0.573813-0.429853-1.0000000.00339705
107,6-0.574802-0.474404-1.0000000.00339705
108,A-0.015252-0.154972-0.3638360.00341139
108,2-0.574858-0.053497-0.1610770.00339705
108,3-0.5747550.0305630.0069930.00339705
108,4-0.574643-0.430113-1.0000000.00339705
108,5-0.574517-0.473713-1.0000000.00339705
108,6-0.575507-0.507606-1.0000000.00339705
108,7-0.571527-0.537813-1.0000000.00339705
109,A0.439629-0.053408-0.1634190.00341139
109,2-0.5755110.0296680.0036660.00339705
109,3-0.575381-0.430636-1.0000000.00339705
109,4-0.575299-0.465346-1.0000000.00339705
109,5-0.575173-0.505486-1.0000000.00339705
109,6-0.576163-0.544008-1.0000000.00339705
109,7-0.572182-0.570722-1.0000000.00339705
109,8-0.459687-1.000000-1.0000000.00339705
1010,A1.5000000.0340300.0113190.01347498
1010,2-0.576089-0.423232-1.0000000.01341836
1010,3-0.575989-0.464421-1.0000000.01341836
1010,4-0.575907-0.504272-1.0000000.01341836
1010,5-0.575781-0.542409-1.0000000.01341836
1010,6-0.576771-0.569924-1.0000000.01341836
1010,7-0.463482-1.000000-1.0000000.01341836
1010,8-0.238086-1.000000-1.0000000.01341836
1010,9-0.012604-1.000000-1.0000000.01341836


Splitting Possible



Blackjack Appendix 9 - 5 Decks, Dealer Stands on Soft 17

Dealer Player Stand Hit Double Split
DAS -- No
Split
DAS -- Yes
Probability
AA,A-0.770213-0.326809-1.049161-0.532478-0.5324780.00027115
A2,2-0.769824-0.486582-1.539648-0.972092-0.9720920.00030127
A3,3-0.769466-0.524879-1.519914-1.004865-1.0048650.00030127
A4,4-0.768981-0.448406-1.178554-1.060541-1.0605410.00030127
A5,5-0.768504-0.254007-0.622633-1.139374-1.1393740.00030127
A6,6-0.764390-0.557629-1.000000-1.123419-1.1234190.00030127
A7,7-0.765975-0.621522-1.000000-1.115653-1.1156530.00030127
A8,8-0.767565-0.664476-1.000000-0.921805-0.9218050.00030127
A9,9-0.374390-1.000000-1.000000-0.757102-0.7571020.00030127
A10,100.152289-1.000000-1.000000-0.687595-0.6875950.00506727
2A,A-0.2892800.084250-0.0613250.4889440.4889440.00043744
22,2-0.292479-0.114700-0.584958-0.152365-0.0762980.00039370
23,3-0.292406-0.142494-0.563201-0.209362-0.1325050.00043744
24,4-0.291660-0.019477-0.199428-0.263051-0.1858170.00043744
25,5-0.2859580.1905660.376044-0.320844-0.2756270.00043744
26,6-0.287113-0.253307-1.000000-0.271777-0.1934260.00043744
27,7-0.288309-0.370676-1.000000-0.194620-0.1169360.00043744
28,8-0.289479-0.467952-1.0000000.0086230.0837620.00043744
29,90.124733-1.000000-1.0000000.1579380.1987250.00043744
210,100.637463-1.000000-1.000000-0.025733-0.0257330.00727536
3A,A-0.2481100.1065550.0050390.5362800.5362800.00043744
32,2-0.251131-0.081971-0.502261-0.095283-0.0040350.00043744
33,3-0.250397-0.108492-0.480141-0.138615-0.0479240.00039370
34,4-0.2447490.012285-0.124852-0.183539-0.0904260.00043744
35,5-0.2436650.2155390.428952-0.244943-0.1891380.00043744
36,6-0.244805-0.231612-1.000000-0.193935-0.0942760.00043744
37,7-0.246023-0.356458-1.000000-0.122658-0.0247420.00043744
38,8-0.247638-0.461234-1.0000000.0721170.1565310.00043744
39,90.144057-1.000000-1.0000000.2050600.2513050.00043744
310,100.647523-1.000000-1.0000000.0234010.0234010.00727536
4A,A-0.2047430.1295650.0737160.5860630.5860630.00043744
42,2-0.207008-0.046261-0.414016-0.0344080.0721500.00043744
43,3-0.201369-0.067951-0.383121-0.0545430.0538100.00043744
44,4-0.2002680.049903-0.045879-0.1018090.0084690.00039370
45,5-0.1993370.2426060.485212-0.161875-0.0912960.00043744
46,6-0.200444-0.209345-1.000000-0.1109700.0103880.00043744
47,7-0.202168-0.341605-1.000000-0.0443090.0772140.00043744
48,8-0.211601-0.457043-1.0000000.1300460.2239800.00043744
49,90.173737-1.000000-1.0000000.2690810.3200610.00043744
410,100.657926-1.000000-1.0000000.0749560.0749560.00727536
5A,A-0.1595810.1615740.1437610.6377850.6377850.00043744
52,2-0.156078-0.003452-0.3121560.0546240.1793390.00043744
53,3-0.155057-0.026817-0.2912870.0304310.1601410.00043744
54,4-0.1540840.0862330.032620-0.0158660.1179110.00043744
55,5-0.1532090.2730940.546189-0.0702880.0186670.00039370
56,6-0.154929-0.187597-1.000000-0.0250980.1193780.00043744
57,7-0.164439-0.330757-1.0000000.0217910.1631540.00043744
58,8-0.166403-0.450021-1.0000000.2012190.3051500.00043744
59,90.200147-1.000000-1.0000000.3385640.3944390.00043744
510,100.671000-1.000000-1.0000000.1306130.1306130.00727536
6A,A-0.1440820.1883890.1929200.6853730.6853730.00043744
62,2-0.1480270.015323-0.2960550.0993390.2433650.00043744
63,3-0.147128-0.007764-0.2691680.0727160.2199660.00043744
64,4-0.1463030.1263150.1069150.0203510.1715090.00043744
65,5-0.1455540.3017840.603569-0.0359360.0657690.00043744
66,6-0.154946-0.174518-1.000000-0.0017180.1594310.00039370
67,7-0.156766-0.313114-1.0000000.0929870.2492070.00043744
68,8-0.158267-0.424385-1.0000000.2921110.4051230.00043744
69,90.280260-1.000000-1.0000000.4026730.4626780.00043744
610,100.702601-1.000000-1.0000000.1731700.1731700.00727536
7A,A-0.4710060.164103-0.1748950.4781560.4781560.00043744
72,2-0.474472-0.088939-0.948943-0.0485750.0089430.00043744
73,3-0.473682-0.154180-0.889482-0.108431-0.0507230.00043744
74,4-0.4728630.087513-0.172547-0.228289-0.1692420.00043744
75,5-0.4764140.2610980.407214-0.331892-0.2982800.00043744
76,6-0.478239-0.222149-1.000000-0.309975-0.2505310.00043744
77,7-0.479913-0.333922-1.000000-0.104810-0.0483190.00039370
78,8-0.481131-0.407129-1.0000000.2637250.3183660.00043744
79,90.399590-1.000000-1.0000000.3345570.3639670.00043744
710,100.771759-1.000000-1.0000000.0607370.0607370.00727536
8A,A-0.5084070.094487-0.3109040.3615240.3615240.00043744
82,2-0.511393-0.156260-1.022787-0.215212-0.1767970.00043744
83,3-0.510575-0.219586-1.001111-0.269508-0.2303660.00043744
84,4-0.514023-0.058927-0.450851-0.365555-0.3256840.00043744
85,5-0.5139110.1998550.294299-0.483933-0.4603430.00043744
86,6-0.515465-0.280874-1.000000-0.454732-0.4145890.00043744
87,7-0.516798-0.378876-1.000000-0.429073-0.3906380.00043744
88,8-0.518900-0.452379-1.000000-0.066116-0.0305230.00039370
89,90.097913-1.000000-1.0000000.2080970.2289890.00043744
810,100.790139-1.000000-1.000000-0.091015-0.0910150.00727536
9A,A-0.537059-0.000415-0.4497620.2397650.2397650.00043744
92,2-0.539522-0.237303-1.079045-0.403412-0.3838310.00043744
93,3-0.542982-0.295801-1.067277-0.449509-0.4305090.00043744
94,4-0.542817-0.209768-0.715129-0.527418-0.5078390.00043744
95,5-0.5425670.1166900.150169-0.653328-0.6392370.00043744
96,6-0.544062-0.348609-1.000000-0.620014-0.6002340.00043744
97,7-0.545990-0.439322-1.000000-0.590611-0.5725770.00043744
98,8-0.538029-0.504980-1.000000-0.409453-0.3904130.00043744
99,9-0.185655-1.000000-1.000000-0.094170-0.0822590.00039370
910,100.755613-1.000000-1.000000-0.257405-0.2574050.00727536
10A,A-0.570795-0.131004-0.6098600.0295960.0295960.00162722
102,2-0.577475-0.342176-1.154949-0.638351-0.6383510.00161360
103,3-0.577267-0.390327-1.137145-0.680545-0.6805450.00161360
104,4-0.577131-0.306249-0.842504-0.748340-0.7483400.00161360
105,5-0.576869-0.052421-0.158554-0.851187-0.8511870.00161360
106,6-0.578783-0.430217-1.000000-0.829360-0.8293600.00161360
107,7-0.570822-0.516430-1.000000-0.778887-0.7788870.00161360
108,8-0.572231-0.570687-1.000000-0.615393-0.6153930.00161360
109,9-0.234243-1.000000-1.000000-0.461576-0.4615760.00161360
1010,100.438668-1.000000-1.000000-0.418264-0.4182640.02616580


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.

  • Written by:

Wizard Recommends

  • Up to $12,250 in Bonuses Play
  • $12,500 Welcome Bonus Play
  • 100% Welcome Bonus Play

On This Page