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Last Updated: October 31, 2019

Blackjack Appendix 9 — Six deck, dealer hits on soft 17, no hole card.

Introduction

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

  • 6 decks
  • Dealer hits 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: -0.0072705.
  • Player may not double after split: -0.0086975

Blackjack Appendix 9 - 6 Decks, Dealer Hits on Soft 17

Dealer Player Stand Hit Double Probability
A2,A-0.722356-0.379910-1.0240990.00060719
A3,A-0.722119-0.403855-1.0237170.00060719
A3,2-0.721887-0.529734-1.4437740.00063359
A4,A-0.721866-0.429265-1.0259890.00060719
A4,2-0.721646-0.548031-1.4348340.00063359
A4,3-0.721415-0.554273-1.3692820.00063359
A5,A-0.721965-0.454867-1.0300510.00060719
A5,2-0.721740-0.553211-1.3699700.00063359
A5,3-0.721499-0.493960-1.1938070.00063359
A5,4-0.721243-0.396287-0.9326710.00063359
A6,A-0.665166-0.463296-0.9994840.00060719
A6,2-0.721308-0.493965-1.1945230.00063359
A6,3-0.721068-0.396571-0.9335700.00063359
A6,4-0.720814-0.286818-0.6391080.00063359
A6,5-0.720879-0.235772-0.5358790.00063359
A7,A-0.466029-0.421285-0.9093740.00060719
A7,2-0.720673-0.398094-0.9345860.00063359
A7,3-0.720434-0.287324-0.6405210.00063359
A7,4-0.720166-0.236273-0.5370660.00063359
A7,5-0.720255-0.577812-1.0000000.00063359
A7,6-0.719836-0.610108-1.0000000.00063359
A8,A-0.180050-0.355247-0.7786930.00060719
A8,2-0.721415-0.287331-0.6421260.00063359
A8,3-0.721163-0.236616-0.5394710.00063359
A8,4-0.720910-0.577648-1.0000000.00063359
A8,5-0.720999-0.609222-1.0000000.00063359
A8,6-0.720581-0.634790-1.0000000.00063359
A8,7-0.719963-0.657459-1.0000000.00063359
A9,A0.106694-0.289663-0.6494310.00060719
A9,2-0.722139-0.236897-0.5416680.00063359
A9,3-0.721902-0.577727-1.0000000.00063359
A9,4-0.721650-0.603801-1.0000000.00063359
A9,5-0.721739-0.633707-1.0000000.00063359
A9,6-0.721316-0.661303-1.0000000.00063359
A9,7-0.720701-0.681986-1.0000000.00063359
A9,8-0.663404-1.000000-1.0000000.00063359
A10,A1.500000-0.235247-0.5396820.00244016
A10,2-0.722399-0.572947-1.0000000.00254626
A10,3-0.722162-0.603172-1.0000000.00254626
A10,4-0.721910-0.632153-1.0000000.00254626
A10,5-0.721997-0.660335-1.0000000.00254626
A10,6-0.721586-0.681434-1.0000000.00254626
A10,7-0.663250-1.000000-1.0000000.00254626
A10,8-0.462144-1.000000-1.0000000.00254626
A10,9-0.174496-1.000000-1.0000000.00254626
22,A-0.2850910.045611-0.0634550.00088085
23,A-0.2850090.022101-0.0639130.00091915
23,2-0.286101-0.126025-0.5722020.00088085
24,A-0.284913-0.000918-0.0675770.00091915
24,2-0.285985-0.139226-0.5518170.00088085
24,3-0.285902-0.110920-0.4295320.00091915
25,A-0.282389-0.021446-0.0699680.00091915
25,2-0.283454-0.107915-0.4261530.00088085
25,3-0.283371-0.023176-0.1999890.00091915
25,4-0.2832530.0757860.0680390.00091915
26,A-0.152739-0.000274-0.0048820.00091915
26,2-0.283949-0.022871-0.1997670.00088085
26,3-0.2838650.0753310.0673780.00091915
26,4-0.2837260.1867540.3689920.00091915
26,5-0.2812060.2449400.4855450.00091915
27,A0.1131100.0604410.1162620.00091915
27,2-0.2844570.0739130.0678700.00088085
27,3-0.2843530.1861190.3677710.00091915
27,4-0.2842350.2431790.4817370.00091915
27,5-0.281716-0.253609-1.0000000.00091915
27,6-0.282213-0.312485-1.0000000.00091915
28,A0.3807510.1211170.2376580.00091915
28,2-0.2849190.1856080.3669790.00088085
28,3-0.2848360.2422800.4799840.00091915
28,4-0.284718-0.254724-1.0000000.00091915
28,5-0.282200-0.312360-1.0000000.00091915
28,6-0.282695-0.363635-1.0000000.00091915
28,7-0.283230-0.414321-1.0000000.00091915
29,A0.6376420.1821990.3600500.00091915
29,2-0.2856000.2414650.4783950.00088085
29,3-0.285517-0.255818-1.0000000.00091915
29,4-0.285400-0.306135-1.0000000.00091915
29,5-0.282881-0.362973-1.0000000.00091915
29,6-0.283402-0.420576-1.0000000.00091915
29,7-0.283912-0.470891-1.0000000.00091915
29,8-0.153788-1.000000-1.0000000.00091915
210,A1.5000000.2389940.4725630.00367661
210,2-0.289435-0.252224-1.0000000.00352341
210,3-0.289352-0.307973-1.0000000.00367661
210,4-0.289236-0.364353-1.0000000.00367661
210,5-0.286740-0.421462-1.0000000.00367661
210,6-0.287237-0.472332-1.0000000.00367661
210,7-0.157192-1.000000-1.0000000.00367661
210,80.109693-1.000000-1.0000000.00367661
210,90.377921-1.000000-1.0000000.00367661
32,A-0.2446700.0737700.0019620.00091915
33,A-0.2445780.050358-0.0005720.00088085
33,2-0.245573-0.093202-0.4911450.00088085
34,A-0.2420240.029075-0.0022310.00091915
34,2-0.243009-0.104221-0.4667580.00091915
34,3-0.242896-0.076982-0.3495320.00088085
35,A-0.2416200.008338-0.0060830.00091915
35,2-0.242607-0.074160-0.3477300.00091915
35,3-0.2424930.008067-0.1285920.00088085
35,4-0.2399180.1059000.1314140.00091915
36,A-0.1161260.0292120.0571760.00091915
36,2-0.2430940.008372-0.1284180.00091915
36,3-0.2429590.1054450.1300480.00088085
36,4-0.2404060.2118910.4224600.00091915
36,5-0.2400030.2681580.5350690.00091915
37,A0.1415840.0882300.1752150.00091915
37,2-0.2435730.1040360.1305220.00091915
37,3-0.2434590.2112100.4208540.00088085
37,4-0.2409060.2667570.5322690.00091915
37,5-0.240505-0.232183-1.0000000.00091915
37,6-0.240992-0.294107-1.0000000.00091915
38,A0.3997870.1510590.3006970.00091915
38,2-0.2442510.2103400.4192110.00091915
38,3-0.2441370.2652340.5289850.00088085
38,4-0.241586-0.233324-1.0000000.00091915
38,5-0.241183-0.294245-1.0000000.00091915
38,6-0.241697-0.349657-1.0000000.00091915
38,7-0.242197-0.403931-1.0000000.00091915
39,A0.6452530.2034370.4052730.00091915
39,2-0.2481810.2612950.5209890.00091915
39,3-0.248068-0.237301-1.0000000.00088085
39,4-0.245516-0.290023-1.0000000.00091915
39,5-0.245138-0.350845-1.0000000.00091915
39,6-0.245627-0.411794-1.0000000.00091915
39,7-0.246129-0.464920-1.0000000.00091915
39,8-0.120409-1.000000-1.0000000.00091915
310,A1.5000000.2613700.5202850.00367661
310,2-0.248923-0.231678-1.0000000.00367661
310,3-0.248811-0.290528-1.0000000.00352341
310,4-0.246282-0.350816-1.0000000.00367661
310,5-0.245879-0.411424-1.0000000.00367661
310,6-0.246369-0.465336-1.0000000.00367661
310,7-0.120447-1.000000-1.0000000.00367661
310,80.137849-1.000000-1.0000000.00367661
310,90.394037-1.000000-1.0000000.00367661
42,A-0.2017660.1043480.0706340.00091915
43,A-0.1992150.0827770.0697160.00091915
43,2-0.200104-0.055370-0.4002090.00091915
44,A-0.1987660.0607570.0652780.00088085
44,2-0.199655-0.067021-0.3803450.00088085
44,3-0.197094-0.038414-0.2624110.00088085
45,A-0.1984140.0409790.0615350.00091915
45,2-0.199305-0.037425-0.2650890.00091915
45,3-0.1967340.044637-0.0512060.00091915
45,4-0.1962810.1370910.1979640.00088085
46,A-0.0763560.0616480.1232950.00091915
46,2-0.1997570.043758-0.0540370.00091915
46,3-0.1972070.1366320.1970340.00091915
46,4-0.1967560.2393780.4787560.00088085
46,5-0.1964060.2935270.5870550.00091915
47,A0.1710280.1223970.2447940.00091915
47,2-0.2004600.1337990.1942830.00091915
47,3-0.1979110.2383740.4767490.00091915
47,4-0.1974610.2921490.5842980.00088085
47,5-0.197110-0.210554-1.0000000.00091915
47,6-0.197610-0.275533-1.0000000.00091915
48,A0.4155700.1760020.3520040.00091915
48,2-0.2043860.2333460.4666930.00091915
48,3-0.2018380.2876310.5752630.00091915
48,4-0.201386-0.213959-1.0000000.00088085
48,5-0.201061-0.277746-1.0000000.00091915
48,6-0.201536-0.336519-1.0000000.00091915
48,7-0.202241-0.394686-1.0000000.00091915
49,A0.6558440.2294370.4588740.00091915
49,2-0.2052000.2855330.5710670.00091915
49,3-0.202651-0.215698-1.0000000.00091915
49,4-0.202225-0.271755-1.0000000.00088085
49,5-0.201874-0.336208-1.0000000.00091915
49,6-0.202349-0.401031-1.0000000.00091915
49,7-0.203055-0.457708-1.0000000.00091915
49,8-0.083983-1.000000-1.0000000.00091915
410,A1.5000000.2851290.5702590.00367661
410,2-0.205906-0.210664-1.0000000.00367661
410,3-0.203381-0.272231-1.0000000.00367661
410,4-0.202930-0.336220-1.0000000.00352341
410,5-0.202579-0.400721-1.0000000.00367661
410,6-0.203055-0.457944-1.0000000.00367661
410,7-0.080830-1.000000-1.0000000.00367661
410,80.164363-1.000000-1.0000000.00367661
410,90.413067-1.000000-1.0000000.00367661
52,A-0.1571130.1376180.1410300.00091915
53,A-0.1566870.1161600.1396290.00091915
53,2-0.155026-0.015690-0.3100530.00091915
54,A-0.1562910.0949280.1349210.00091915
54,2-0.154631-0.026761-0.2912190.00091915
54,3-0.1541930.001535-0.1795530.00091915
55,A-0.1559450.0752890.1302670.00088085
55,2-0.1542750.002733-0.1809190.00088085
55,3-0.1538470.0808170.0258540.00088085
55,4-0.1534490.1709840.2684970.00088085
56,A-0.0384730.0986890.1973790.00091915
56,2-0.1549730.0793020.0223250.00091915
56,3-0.1545450.1693390.2651670.00091915
56,4-0.1541490.2686400.5372790.00091915
56,5-0.1538020.3205250.6410500.00088085
57,A0.1989980.1511320.3022630.00091915
57,2-0.1589220.1634190.2563910.00091915
57,3-0.1584950.2640240.5280490.00091915
57,4-0.1580970.3158170.6316340.00091915
57,5-0.157776-0.190982-1.0000000.00088085
57,6-0.158476-0.259536-1.0000000.00091915
58,A0.4399140.2062220.4124430.00091915
58,2-0.1597430.2622220.5244440.00091915
58,3-0.1593160.3139500.6279000.00091915
58,4-0.158944-0.192389-1.0000000.00091915
58,5-0.158596-0.259746-1.0000000.00088085
58,6-0.159297-0.321340-1.0000000.00091915
58,7-0.163247-0.384186-1.0000000.00091915
59,A0.6704080.2577170.5154350.00091915
59,2-0.1604570.3122580.6245150.00091915
59,3-0.160055-0.194040-1.0000000.00091915
59,4-0.159657-0.253758-1.0000000.00091915
59,5-0.159310-0.320829-1.0000000.00088085
59,6-0.160011-0.388976-1.0000000.00091915
59,7-0.163962-0.450802-1.0000000.00091915
59,8-0.046138-1.000000-1.0000000.00091915
510,A1.5000000.3110680.6221360.00367661
510,2-0.161126-0.188759-1.0000000.00367661
510,3-0.160698-0.254211-1.0000000.00367661
510,4-0.160301-0.320872-1.0000000.00367661
510,5-0.159954-0.388494-1.0000000.00352341
510,6-0.160655-0.449718-1.0000000.00367661
510,7-0.045986-1.000000-1.0000000.00367661
510,80.195534-1.000000-1.0000000.00367661
510,90.437502-1.000000-1.0000000.00367661
62,A-0.1153910.1664850.2042160.00091915
63,A-0.1149980.1461110.2029750.00091915
63,2-0.1152190.019256-0.2304390.00091915
64,A-0.1146350.1262720.1996870.00091915
64,2-0.1148440.009881-0.2121210.00091915
64,3-0.1144500.035824-0.1043800.00091915
65,A-0.1145230.1107380.2020170.00091915
65,2-0.1147510.037108-0.1052730.00091915
65,3-0.1143570.1114530.0920130.00091915
65,4-0.1139920.1976800.3244780.00091915
66,A-0.0049920.1260730.2521460.00088085
66,2-0.1187030.1067540.0821920.00088085
66,3-0.1183090.1928200.3147360.00088085
66,4-0.1179430.2894790.5789590.00088085
66,5-0.1178760.3399330.6798650.00088085
67,A0.2225980.1784530.3569060.00091915
67,2-0.1195270.1895900.3113100.00091915
67,3-0.1191330.2874250.5748490.00091915
67,4-0.1187920.3379270.6758540.00091915
67,5-0.118699-0.173201-1.0000000.00091915
67,6-0.122651-0.246688-1.0000000.00088085
68,A0.4522200.2310450.4620890.00091915
68,2-0.1202370.2856450.5712900.00091915
68,3-0.1198680.3360720.6721450.00091915
68,4-0.119502-0.174273-1.0000000.00091915
68,5-0.119409-0.244828-1.0000000.00091915
68,6-0.123361-0.311131-1.0000000.00088085
68,7-0.124186-0.374794-1.0000000.00091915
69,A0.6775740.2814870.5629750.00091915
69,2-0.1209330.3344010.6688030.00091915
69,3-0.120539-0.175904-1.0000000.00091915
69,4-0.120173-0.238607-1.0000000.00091915
69,5-0.120080-0.308835-1.0000000.00091915
69,6-0.124033-0.380899-1.0000000.00088085
69,7-0.124822-0.437546-1.0000000.00091915
69,8-0.009955-1.000000-1.0000000.00091915
610,A1.5000000.3335310.6670630.00367661
610,2-0.121479-0.170569-1.0000000.00367661
610,3-0.121086-0.239032-1.0000000.00367661
610,4-0.120720-0.308640-1.0000000.00367661
610,5-0.120627-0.378850-1.0000000.00367661
610,6-0.124544-0.437508-1.0000000.00352341
610,7-0.009816-1.000000-1.0000000.00367661
610,80.220261-1.000000-1.0000000.00367661
610,90.450523-1.000000-1.0000000.00367661
72,A-0.4731850.120174-0.1794830.00091915
73,A-0.4728610.076540-0.1822410.00091915
73,2-0.474287-0.119481-0.9485740.00091915
74,A-0.4725120.036406-0.1771600.00091915
74,2-0.473947-0.153746-0.8902240.00091915
74,3-0.473622-0.069120-0.5818240.00091915
75,A-0.473968-0.007882-0.1843440.00091915
75,2-0.475404-0.068651-0.5854060.00091915
75,3-0.4750790.083844-0.1786130.00091915
75,4-0.4747370.1762990.1181440.00091915
76,A-0.1038260.054706-0.0088570.00091915
76,2-0.4761650.083939-0.1809270.00091915
76,3-0.4758380.1760730.1159520.00091915
76,4-0.4755230.2615790.4060150.00091915
76,5-0.4769770.2934110.4697490.00091915
77,A0.4018610.1718720.2236640.00088085
77,2-0.4768580.1742760.1135950.00088085
77,3-0.4765580.2603340.4014180.00088085
77,4-0.4762170.2928680.4676480.00088085
77,5-0.477672-0.219577-1.0000000.00088085
77,6-0.478433-0.278428-1.0000000.00088085
78,A0.6157340.2209560.3205600.00091915
78,2-0.4774220.2585760.3963420.00091915
78,3-0.4770960.2921640.4645330.00091915
78,4-0.476756-0.217934-1.0000000.00091915
78,5-0.478210-0.278145-1.0000000.00091915
78,6-0.478975-0.325493-1.0000000.00091915
78,7-0.479635-0.362547-1.0000000.00088085
79,A0.7732730.2546470.3859380.00091915
79,2-0.4782840.2917410.4618680.00091915
79,3-0.477959-0.218241-1.0000000.00091915
79,4-0.477619-0.269781-1.0000000.00091915
79,5-0.479075-0.325412-1.0000000.00091915
79,6-0.479801-0.368743-1.0000000.00091915
79,7-0.480503-0.408432-1.0000000.00088085
79,8-0.109730-1.000000-1.0000000.00091915
710,A1.5000000.2912170.4637630.00367661
710,2-0.474935-0.212638-1.0000000.00367661
710,3-0.474609-0.269267-1.0000000.00367661
710,4-0.474271-0.324567-1.0000000.00367661
710,5-0.475708-0.368927-1.0000000.00367661
710,6-0.476476-0.408624-1.0000000.00367661
710,7-0.108885-1.000000-1.0000000.00352341
710,80.397743-1.000000-1.0000000.00367661
710,90.615047-1.000000-1.0000000.00367661
82,A-0.5100130.051835-0.3140990.00091915
83,A-0.5096640.016478-0.3050600.00091915
83,2-0.510907-0.187166-1.0218150.00091915
84,A-0.511097-0.028404-0.3143030.00091915
84,2-0.512340-0.219720-1.0046830.00091915
84,3-0.512000-0.213278-0.8473520.00091915
85,A-0.511033-0.069392-0.3171510.00091915
85,2-0.512277-0.211671-0.8478880.00091915
85,3-0.511935-0.059455-0.4480430.00091915
85,4-0.5133910.099920-0.0216890.00091915
86,A-0.382583-0.071750-0.2513400.00091915
86,2-0.512931-0.059214-0.4499310.00091915
86,3-0.5126150.101203-0.0201220.00091915
86,4-0.5140460.1996200.2916030.00091915
86,5-0.5139800.2301730.3534560.00091915
87,A0.1080570.041028-0.0281890.00091915
87,2-0.5135370.099741-0.0216820.00091915
87,3-0.5131960.2007420.2926000.00091915
87,4-0.5146260.2287860.3491000.00091915
87,5-0.514561-0.279202-1.0000000.00091915
87,6-0.515221-0.334678-1.0000000.00091915
88,A0.5958960.1529040.1939970.00088085
88,2-0.5144020.1991780.2875640.00088085
88,3-0.5140620.2285610.3474050.00088085
88,4-0.515493-0.279058-1.0000000.00088085
88,5-0.515429-0.333494-1.0000000.00088085
88,6-0.516050-0.371477-1.0000000.00088085
88,7-0.516638-0.410942-1.0000000.00088085
89,A0.7906580.1937130.2774730.00091915
89,2-0.5110550.2276150.3469790.00091915
89,3-0.510715-0.278647-1.0000000.00091915
89,4-0.512148-0.326010-1.0000000.00091915
89,5-0.512065-0.371556-1.0000000.00091915
89,6-0.512728-0.417413-1.0000000.00091915
89,7-0.513316-0.453627-1.0000000.00091915
89,8-0.387487-1.000000-1.0000000.00088085
810,A1.5000000.2285150.3477880.00367661
810,2-0.511634-0.272002-1.0000000.00367661
810,3-0.511295-0.324425-1.0000000.00367661
810,4-0.512708-0.369606-1.0000000.00367661
810,5-0.512647-0.416910-1.0000000.00367661
810,6-0.513309-0.453130-1.0000000.00367661
810,7-0.384232-1.000000-1.0000000.00367661
810,80.104057-1.000000-1.0000000.00352341
810,90.591091-1.000000-1.0000000.00367661
92,A-0.539111-0.034089-0.4431870.00091915
93,A-0.540547-0.072746-0.4463620.00091915
93,2-0.541573-0.265989-1.0831460.00091915
94,A-0.540464-0.112418-0.4509580.00091915
94,2-0.541491-0.294528-1.0643290.00091915
94,3-0.542924-0.288453-0.9553180.00091915
95,A-0.540365-0.151418-0.4557700.00091915
95,2-0.541389-0.285443-0.9522820.00091915
95,3-0.542848-0.211386-0.7157410.00091915
95,4-0.542763-0.052189-0.2974090.00091915
96,A-0.420578-0.147268-0.3921620.00091915
96,2-0.542034-0.209881-0.7141080.00091915
96,3-0.543467-0.052030-0.2988670.00091915
96,4-0.5433830.1167390.1477510.00091915
96,5-0.5432810.1574140.2300310.00091915
97,A-0.182640-0.098469-0.2848250.00091915
97,2-0.542861-0.052171-0.2970110.00091915
97,3-0.5442950.1166890.1457770.00091915
97,4-0.5442110.1568690.2271940.00091915
97,5-0.544111-0.347763-1.0000000.00091915
97,6-0.544695-0.392092-1.0000000.00091915
98,A0.2876180.007442-0.0711610.00091915
98,2-0.5395170.1168830.1486980.00091915
98,3-0.5409520.1553390.2257460.00091915
98,4-0.540869-0.348743-1.0000000.00091915
98,5-0.540750-0.391310-1.0000000.00091915
98,6-0.541376-0.431821-1.0000000.00091915
98,7-0.542209-0.467044-1.0000000.00091915
99,A0.7594900.1131980.1385230.00088085
99,2-0.5400980.1558320.2254600.00088085
99,3-0.541534-0.348220-1.0000000.00088085
99,4-0.541432-0.383661-1.0000000.00088085
99,5-0.541334-0.430167-1.0000000.00088085
99,6-0.541961-0.472812-1.0000000.00088085
99,7-0.542794-0.504993-1.0000000.00088085
99,8-0.421286-1.000000-1.0000000.00088085
910,A1.5000000.1566810.2258940.00367661
910,2-0.540641-0.340701-1.0000000.00367661
910,3-0.542057-0.382712-1.0000000.00367661
910,4-0.541976-0.428224-1.0000000.00367661
910,5-0.541878-0.472187-1.0000000.00367661
910,6-0.542505-0.504547-1.0000000.00367661
910,7-0.422164-1.000000-1.0000000.00367661
910,8-0.185194-1.000000-1.0000000.00367661
910,90.283901-1.000000-1.0000000.00352341
102,A-0.574413-0.169122-0.6195810.00340294
103,A-0.574328-0.201323-0.6197220.00340294
103,2-0.577108-0.366105-1.1542170.00339104
104,A-0.574254-0.234754-0.6220060.00340294
104,2-0.577033-0.390433-1.1367210.00339104
104,3-0.576972-0.374231-1.0328790.00339104
105,A-0.574147-0.268877-0.6279680.00340294
105,2-0.576952-0.372379-1.0328560.00339104
105,3-0.576864-0.307883-0.8425610.00339104
105,4-0.576788-0.216566-0.5814350.00339104
106,A-0.462762-0.255483-0.5696120.00340294
106,2-0.577776-0.307890-0.8440230.00339104
106,3-0.577689-0.217139-0.5828640.00339104
106,4-0.577613-0.052955-0.1605080.00339104
106,5-0.5775070.0317020.0092510.00339104
107,A-0.240631-0.206708-0.4661030.00340294
107,2-0.574432-0.218866-0.5812250.00339104
107,3-0.574345-0.053608-0.1599910.00339104
107,4-0.5742710.0310640.0091770.00339104
107,5-0.574146-0.429660-1.0000000.00339104
107,6-0.574976-0.473574-1.0000000.00339104
108,A-0.015826-0.155528-0.3650730.00340294
108,2-0.575013-0.053510-0.1612060.00339104
108,3-0.5749280.0310270.0078380.00339104
108,4-0.574835-0.429877-1.0000000.00339104
108,5-0.574731-0.473006-1.0000000.00339104
108,6-0.575560-0.507566-1.0000000.00339104
108,7-0.572241-0.538616-1.0000000.00339104
109,A0.438844-0.053434-0.1631460.00340294
109,2-0.5755550.0302850.0050740.00339104
109,3-0.575451-0.430314-1.0000000.00339104
109,4-0.575379-0.466047-1.0000000.00339104
109,5-0.575275-0.505807-1.0000000.00339104
109,6-0.576104-0.543765-1.0000000.00339104
109,7-0.572785-0.571478-1.0000000.00339104
109,8-0.460470-1.000000-1.0000000.00339104
1010,A1.5000000.0339100.0114390.01346998
1010,2-0.576039-0.424152-1.0000000.01342288
1010,3-0.575955-0.465272-1.0000000.01342288
1010,4-0.575883-0.504799-1.0000000.01342288
1010,5-0.575779-0.542439-1.0000000.01342288
1010,6-0.576608-0.570817-1.0000000.01342288
1010,7-0.463626-1.000000-1.0000000.01342288
1010,8-0.238659-1.000000-1.0000000.01342288
1010,9-0.013620-1.000000-1.0000000.01342288


Splitting Possible



Blackjack Appendix 9 - 6 Decks, Dealer Hits on Soft 17

Dealer Player Stand Hit Double Split
DAS -- No
Split
DAS -- Yes
Probability
AA,A-0.722586-0.355315-1.024721-0.537960-0.5379600.00027830
A2,2-0.722124-0.512424-1.444249-1.032970-1.0329700.00030360
A3,3-0.721662-0.548031-1.434862-1.063956-1.0639560.00030360
A4,4-0.721159-0.492581-1.193052-1.112676-1.1126760.00030360
A5,5-0.721330-0.286927-0.638998-1.192395-1.1923950.00030360
A6,6-0.720457-0.577643-1.000000-1.174558-1.1745580.00030360
A7,7-0.719221-0.639894-1.000000-1.176065-1.1760650.00030360
A8,8-0.720706-0.681921-1.000000-1.027713-1.0277130.00030360
A9,9-0.461987-1.000000-1.000000-0.838626-0.8386260.00030360
A10,100.113508-1.000000-1.000000-0.741698-0.7416980.00506302
2A,A-0.2840080.082026-0.0600730.4853750.4853750.00044043
22,2-0.286162-0.112545-0.572323-0.153905-0.0782800.00040372
23,3-0.286019-0.139266-0.551880-0.205805-0.1294640.00044043
24,4-0.285785-0.022238-0.201987-0.258251-0.1815760.00044043
25,5-0.2807110.1876780.371112-0.316842-0.2719510.00044043
26,6-0.281702-0.253614-1.000000-0.267633-0.1901040.00044043
27,7-0.282721-0.370557-1.000000-0.198249-0.1202330.00044043
28,8-0.283713-0.470692-1.000000-0.0002220.0746910.00044043
29,90.112768-1.000000-1.0000000.1540420.1950800.00044043
210,100.632910-1.000000-1.000000-0.024614-0.0246140.00727662
3A,A-0.2436670.1044500.0055860.5327370.5327370.00044043
32,2-0.245684-0.080126-0.491369-0.096973-0.0065160.00044043
33,3-0.245460-0.105892-0.471414-0.136178-0.0461450.00040372
34,4-0.2403320.009335-0.128367-0.180477-0.0884080.00044043
35,5-0.2395150.2125950.423861-0.242124-0.1870430.00044043
36,6-0.240493-0.232219-1.000000-0.191057-0.0927920.00044043
37,7-0.241518-0.356297-1.000000-0.126463-0.0285650.00044043
38,8-0.242878-0.463614-1.0000000.0641420.1483530.00044043
39,90.134754-1.000000-1.0000000.2035310.2498710.00044043
310,100.643634-1.000000-1.0000000.0243490.0243490.00727662
4A,A-0.2008410.1292920.0736720.5823000.5823000.00044043
42,2-0.202664-0.044392-0.405328-0.0322460.0733620.00044043
43,3-0.197544-0.065692-0.376611-0.0525160.0545850.00044043
44,4-0.1966330.046322-0.050931-0.0989320.0100580.00040372
45,5-0.1959310.2396930.479387-0.159151-0.0893120.00044043
46,6-0.196879-0.210302-1.000000-0.1089170.0107210.00044043
47,7-0.198315-0.341577-1.000000-0.0479100.0729380.00044043
48,8-0.206168-0.458790-1.0000000.1246520.2182420.00044043
49,90.164403-1.000000-1.0000000.2680330.3190110.00044043
410,100.654267-1.000000-1.0000000.0756740.0756740.00727662
5A,A-0.1587510.1608270.1418400.6337120.6337120.00044043
52,2-0.155452-0.003781-0.3109040.0532990.1765770.00044043
53,3-0.154601-0.026775-0.2909210.0287200.1567990.00044043
54,4-0.1537950.0828150.026924-0.0172200.1148470.00044043
55,5-0.1531030.2698290.539658-0.0724920.0153220.00040372
56,6-0.154527-0.188677-1.000000-0.0269970.1155250.00044043
57,7-0.162425-0.329707-1.0000000.0200470.1605650.00044043
58,8-0.164069-0.450829-1.0000000.1979380.3014520.00044043
59,90.195523-1.000000-1.0000000.3374480.3932530.00044043
510,100.668927-1.000000-1.0000000.1315370.1315370.00727662
6A,A-0.1151590.1895360.2063120.6796490.6796490.00044043
62,2-0.1156110.030230-0.2312220.1247680.2680180.00044043
63,3-0.1148160.009878-0.2120630.1008610.2474260.00044043
64,4-0.1140850.1133650.0929290.0569540.2072280.00044043
65,5-0.1139000.2937730.5875470.0009020.1024980.00044043
66,6-0.121827-0.175211-1.0000000.0338500.1918880.00040372
67,7-0.123475-0.317997-1.0000000.0904580.2498200.00044043
68,8-0.124862-0.437540-1.0000000.2603510.3738810.00044043
69,90.220168-1.000000-1.0000000.3932940.4530970.00044043
610,100.676590-1.000000-1.0000000.1804150.1804150.00727662
7A,A-0.4717420.164333-0.1764030.4756000.4756000.00044043
72,2-0.474621-0.088828-0.949243-0.0485720.0085970.00044043
73,3-0.473963-0.153797-0.890244-0.108445-0.0511010.00044043
74,4-0.4732830.086616-0.175100-0.227233-0.1687740.00044043
75,5-0.4762170.2603940.404746-0.330901-0.2975990.00044043
76,6-0.477738-0.220562-1.000000-0.311678-0.2529050.00044043
77,7-0.479132-0.331784-1.000000-0.104889-0.0485670.00040372
78,8-0.480181-0.408423-1.0000000.2641100.3188760.00044043
79,90.399576-1.000000-1.0000000.3345240.3641800.00044043
710,100.772011-1.000000-1.0000000.0611470.0611470.00727662
8A,A-0.5087610.094585-0.3115010.3597080.3597080.00044043
82,2-0.511247-0.156790-1.022494-0.215128-0.1767940.00044043
83,3-0.510567-0.219182-1.001140-0.269600-0.2306640.00044043
84,4-0.513431-0.059090-0.451036-0.365344-0.3258010.00044043
85,5-0.5133250.1995370.293033-0.482786-0.4593930.00044043
86,6-0.514636-0.279301-1.000000-0.456194-0.4164290.00044043
87,7-0.515766-0.377709-1.000000-0.429288-0.3909520.00044043
88,8-0.517509-0.453401-1.000000-0.065211-0.0292420.00040372
89,90.099261-1.000000-1.0000000.2088800.2299290.00044043
810,100.790420-1.000000-1.000000-0.090598-0.0905980.00727662
9A,A-0.538085-0.000333-0.4508810.2377540.2377540.00044043
92,2-0.540137-0.237873-1.080275-0.403662-0.3844070.00044043
93,3-0.543008-0.295264-1.067368-0.450388-0.4316180.00044043
94,4-0.542865-0.209848-0.715694-0.527732-0.5084780.00044043
95,5-0.5426610.1166530.149188-0.652355-0.6384810.00044043
96,6-0.543905-0.347155-1.000000-0.621483-0.6020630.00044043
97,7-0.545528-0.437912-1.000000-0.591483-0.5735260.00044043
98,8-0.538890-0.505707-1.000000-0.408743-0.3899500.00044043
99,9-0.185235-1.000000-1.000000-0.093583-0.0815640.00040372
910,100.756075-1.000000-1.000000-0.257276-0.2572760.00727662
10A,A-0.571633-0.132786-0.6129730.0266360.0266360.00163628
102,2-0.577194-0.342470-1.154387-0.639678-0.6396780.00162488
103,3-0.577022-0.390056-1.136696-0.681983-0.6819830.00162488
104,4-0.576896-0.306402-0.842579-0.749490-0.7494900.00162488
105,5-0.576681-0.052625-0.159094-0.851351-0.8513510.00162488
106,6-0.578295-0.429956-1.000000-0.831023-0.8310230.00162488
107,7-0.571657-0.514913-1.000000-0.779904-0.7799040.00162488
108,8-0.572826-0.571450-1.000000-0.616453-0.6164530.00162488
109,9-0.235462-1.000000-1.000000-0.463112-0.4631120.00162488
1010,100.438046-1.000000-1.000000-0.420287-0.4202870.02628648





Written by:

Wizard Recommends

  • Up to $12,250 in Bonuses
  • $12,500 Welcome Bonus
  • $3000 Welcome Bonus