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Blackjack Appendix 9 — Eight decks, dealer hits on soft 17, no hole card.

Introduction

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

  • 8 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: -0.007562.
  • Player may not double after split: -0.0089865

Splitting Not Possible



Blackjack Appendix 9 - 8 Decks, Dealer Hits on Soft 17

Dealer Player Stand Hit Double Probability
A2,A-0.722307-0.378980-1.0240820.00061298
A3,A-0.722128-0.403033-1.0237950.00061298
A3,2-0.721955-0.528987-1.4439090.00063275
A4,A-0.721938-0.428099-1.0254960.00061298
A4,2-0.721771-0.546899-1.4349870.00063275
A4,3-0.721595-0.553054-1.3692530.00063275
A5,A-0.722008-0.453214-1.0285350.00061298
A5,2-0.721838-0.552263-1.3697700.00063275
A5,3-0.721657-0.492985-1.1935430.00063275
A5,4-0.721465-0.395636-0.9326790.00063275
A6,A-0.665036-0.462428-0.9989870.00061298
A6,2-0.721522-0.492995-1.1940900.00063275
A6,3-0.721341-0.395857-0.9333680.00063275
A6,4-0.721150-0.286345-0.6394560.00063275
A6,5-0.721201-0.235977-0.5378690.00063275
A7,A-0.465508-0.420237-0.9082470.00061298
A7,2-0.721047-0.396987-0.9341240.00063275
A7,3-0.720867-0.286720-0.6405130.00063275
A7,4-0.720668-0.236353-0.5387600.00063275
A7,5-0.720733-0.576756N/V0.00063275
A7,6-0.720423-0.608597N/V0.00063275
A8,A-0.179419-0.354184-0.7771870.00061298
A8,2-0.721601-0.286725-0.6417130.00063275
A8,3-0.721414-0.236609-0.5405630.00063275
A8,4-0.721224-0.576638N/V0.00063275
A8,5-0.721289-0.607925N/V0.00063275
A8,6-0.720980-0.634179N/V0.00063275
A8,7-0.720514-0.657747N/V0.00063275
A9,A0.107241-0.288474-0.6471900.00061298
A9,2-0.722146-0.236819-0.5422070.00063275
A9,3-0.721967-0.576694N/V0.00063275
A9,4-0.721777-0.603866N/V0.00063275
A9,5-0.721842-0.633363N/V0.00063275
A9,6-0.721530-0.660628N/V0.00063275
A9,7-0.721067-0.682238N/V0.00063275
A9,8-0.663720N/VN/V0.00063275
A10,A1.500000-0.235585-0.5407270.00246051
A10,2-0.722342-0.573114N/V0.00253989
A10,3-0.722163-0.603400N/V0.00253989
A10,4-0.721973-0.632203N/V0.00253989
A10,5-0.722037-0.659901N/V0.00253989
A10,6-0.721732-0.681829N/V0.00253989
A10,7-0.663606N/VN/V0.00253989
A10,8-0.462603N/VN/V0.00253989
A10,9-0.175266N/VN/V0.00253989
22,A-0.2854560.045865-0.0647020.00088828
23,A-0.2853850.022282-0.0650380.00091693
23,2-0.286200-0.125977-0.5724010.00088828
24,A-0.285310-0.000502-0.0677780.00091693
24,2-0.286114-0.138923-0.5521090.00088828
24,3-0.286043-0.110560-0.4301040.00091693
25,A-0.283432-0.021034-0.0695900.00091693
25,2-0.284232-0.108335-0.4276090.00088828
25,3-0.284161-0.023497-0.2016360.00091693
25,4-0.2840730.0749070.0657350.00091693
26,A-0.153662-0.000625-0.0057680.00091693
26,2-0.284604-0.023277-0.2014880.00088828
26,3-0.2845320.0745600.0652310.00091693
26,4-0.2844330.1853040.3659610.00091693
26,5-0.2825570.2430910.4816650.00091693
27,A0.1123970.0602980.1158660.00091693
27,2-0.2849840.0734980.0655870.00088828
27,3-0.2849010.1848260.3650410.00091693
27,4-0.2848130.2417740.4788180.00091693
27,5-0.282938-0.253645N/V0.00091693
27,6-0.283311-0.311517N/V0.00091693
28,A0.3800820.1212570.2378180.00091693
28,2-0.2853340.1844330.3644310.00088828
28,3-0.2852620.2410950.4774940.00091693
28,4-0.285175-0.254479N/V0.00091693
28,5-0.283301-0.311423N/V0.00091693
28,6-0.283672-0.363607N/V0.00091693
28,7-0.284067-0.415350N/V0.00091693
29,A0.6369890.1818850.3592490.00091693
29,2-0.2858420.2404830.4763000.00088828
29,3-0.285771-0.255298N/V0.00091693
29,4-0.285684-0.306761N/V0.00091693
29,5-0.283809-0.363110N/V0.00091693
29,6-0.284196-0.420028N/V0.00091693
29,7-0.284577-0.471493N/V0.00091693
29,8-0.154450N/VN/V0.00091693
210,A1.5000000.2386380.4719420.00366774
210,2-0.288712-0.252610N/V0.00355312
210,3-0.288641-0.308136N/V0.00366774
210,4-0.288555-0.364138N/V0.00366774
210,5-0.286693-0.420689N/V0.00366774
210,6-0.287065-0.472569N/V0.00366774
210,7-0.156996N/VN/V0.00366774
210,80.109835N/VN/V0.00366774
210,90.377972N/VN/V0.00366774
32,A-0.2451490.0738580.0003840.00091693
33,A-0.2450770.050574-0.0015030.00088828
33,2-0.245816-0.093181-0.4916320.00088828
34,A-0.2431730.029292-0.0027660.00091693
34,2-0.243908-0.104369-0.4685100.00091693
34,3-0.243823-0.076947-0.3512160.00088828
35,A-0.2428750.008799-0.0056610.00091693
35,2-0.243610-0.074848-0.3498800.00091693
35,3-0.2435250.007457-0.1309650.00088828
35,4-0.2416110.1042410.1282390.00091693
36,A-0.1171760.0288860.0563470.00091693
36,2-0.2439780.007675-0.1308510.00091693
36,3-0.2438820.1038920.1272040.00088828
36,4-0.2419790.2100910.4187020.00091693
36,5-0.2416810.2660140.5306030.00091693
37,A0.1406750.0880510.1746780.00091693
37,2-0.2443370.1028360.1275510.00091693
37,3-0.2442530.2095760.4174920.00088828
37,4-0.2423500.2649650.5285070.00091693
37,5-0.242053-0.232647N/V0.00091693
37,6-0.242421-0.293573N/V0.00091693
38,A0.3990770.1501050.2986620.00091693
38,2-0.2448440.2089220.4162610.00091693
38,3-0.2447600.2638250.5260520.00088828
38,4-0.242858-0.233497N/V0.00091693
38,5-0.242560-0.293672N/V0.00091693
38,6-0.242943-0.349725N/V0.00091693
38,7-0.243314-0.404927N/V0.00091693
39,A0.6454070.2037640.4058430.00091693
39,2-0.2477780.2608840.5200830.00091693
39,3-0.247695-0.236468N/V0.00088828
39,4-0.245792-0.290506N/V0.00091693
39,5-0.245509-0.350606N/V0.00091693
39,6-0.245878-0.410802N/V0.00091693
39,7-0.246249-0.465145N/V0.00091693
39,8-0.120372N/VN/V0.00091693
310,A1.5000000.2609350.5195410.00366774
310,2-0.248340-0.232264N/V0.00366774
310,3-0.248256-0.290886N/V0.00355312
310,4-0.246367-0.350586N/V0.00366774
310,5-0.246069-0.410526N/V0.00366774
310,6-0.246438-0.465458N/V0.00366774
310,7-0.120413N/VN/V0.00366774
310,80.137888N/VN/V0.00366774
310,90.394786N/VN/V0.00366774
42,A-0.2027830.1040160.0682390.00091693
43,A-0.2008820.0823200.0675450.00091693
43,2-0.201546-0.056246-0.4030930.00091693
44,A-0.2005500.0606790.0642020.00088828
44,2-0.201215-0.067786-0.3834990.00088828
44,3-0.199309-0.039525-0.2666310.00088828
45,A-0.2002880.0410900.0613950.00091693
45,2-0.200953-0.038781-0.2686230.00091693
45,3-0.1990410.042717-0.0554810.00091693
45,4-0.1987080.1346930.1934290.00088828
46,A-0.0781440.0609170.1218350.00091693
46,2-0.2012980.042057-0.0576000.00091693
46,3-0.1993970.1343530.1927410.00091693
46,4-0.1990650.2369160.4738320.00088828
46,5-0.1988030.2908200.5816400.00091693
47,A0.1698280.1208810.2417620.00091693
47,2-0.2018180.1322360.1906850.00091693
47,3-0.1999180.2361720.4723440.00091693
47,4-0.1995860.2897900.5795800.00088828
47,5-0.199324-0.211388N/V0.00091693
47,6-0.199695-0.275388N/V0.00091693
48,A0.4157710.1755250.3510510.00091693
48,2-0.2047490.2324150.4648300.00091693
48,3-0.2028500.2864190.5728390.00091693
48,4-0.202518-0.213931N/V0.00088828
48,5-0.202270-0.277039N/V0.00091693
48,6-0.202627-0.336396N/V0.00091693
48,7-0.203148-0.395297N/V0.00091693
49,A0.6561170.2294800.4589600.00091693
49,2-0.2053610.2848460.5696930.00091693
49,3-0.203461-0.215228N/V0.00091693
49,4-0.203143-0.272555N/V0.00088828
49,5-0.202881-0.336164N/V0.00091693
49,6-0.203238-0.400046N/V0.00091693
49,7-0.203760-0.457833N/V0.00091693
49,8-0.083846N/VN/V0.00091693
410,A1.5000000.2845440.5690880.00366774
410,2-0.205889-0.211461N/V0.00366774
410,3-0.204003-0.272906N/V0.00366774
410,4-0.203670-0.336170N/V0.00355312
410,5-0.203408-0.399814N/V0.00366774
410,6-0.203765-0.458008N/V0.00366774
410,7-0.081488N/VN/V0.00366774
410,80.164845N/VN/V0.00366774
410,90.413885N/VN/V0.00366774
52,A-0.1590150.1366120.1375580.00091693
53,A-0.1586970.1151900.1365070.00091693
53,2-0.157469-0.017467-0.3149370.00091693
54,A-0.1584030.0943210.1329800.00091693
54,2-0.157175-0.028476-0.2962630.00091693
54,3-0.156850-0.000668-0.1850340.00091693
55,A-0.1581460.0749980.1294830.00088828
55,2-0.1569110.000229-0.1860520.00088828
55,3-0.1565930.0780710.0199710.00088828
55,4-0.1562970.1675400.2618240.00088828
56,A-0.0404560.0967320.1934630.00091693
56,2-0.1574280.0769420.0173420.00091693
56,3-0.1571100.1663150.2593450.00091693
56,4-0.1568150.2654090.5308170.00091693
56,5-0.1565570.3171680.6343360.00088828
57,A0.1979780.1499950.2999900.00091693
57,2-0.1603730.1618970.2528020.00091693
57,3-0.1600550.2619670.5239350.00091693
57,4-0.1597590.3136570.6273140.00091693
57,5-0.159515-0.191597N/V0.00088828
57,6-0.160033-0.259068N/V0.00091693
58,A0.4389840.2052320.4104650.00091693
58,2-0.1609880.2606200.5212390.00091693
58,3-0.1606700.3122620.6245240.00091693
58,4-0.160389-0.192649N/V0.00091693
58,5-0.160130-0.259226N/V0.00088828
58,6-0.160649-0.321492N/V0.00091693
58,7-0.163593-0.384688N/V0.00091693
59,A0.6698970.2572450.5144910.00091693
59,2-0.1615300.3109910.6219820.00091693
59,3-0.161225-0.193886N/V0.00091693
59,4-0.160930-0.254748N/V0.00091693
59,5-0.160672-0.321109N/V0.00088828
59,6-0.161190-0.388279N/V0.00091693
59,7-0.164136-0.450710N/V0.00091693
59,8-0.046183N/VN/V0.00091693
510,A1.5000000.3101050.6202100.00366774
510,2-0.162025-0.189934N/V0.00366774
510,3-0.161706-0.255084N/V0.00366774
510,4-0.161411-0.321139N/V0.00366774
510,5-0.161153-0.387915N/V0.00355312
510,6-0.161672-0.449904N/V0.00366774
510,7-0.046071N/VN/V0.00366774
510,80.195388N/VN/V0.00366774
510,90.437176N/VN/V0.00366774
62,A-0.1168150.1661440.2021680.00091693
63,A-0.1165230.1457500.2012330.00091693
63,2-0.1166910.018226-0.2333830.00091693
64,A-0.1162520.1261280.1987700.00091693
64,2-0.1164140.008594-0.2152340.00091693
64,3-0.1161210.034461-0.1079340.00091693
65,A-0.1161670.1100700.2005170.00091693
65,2-0.1163390.035424-0.1085900.00091693
65,3-0.1160460.1095410.0879460.00091693
65,4-0.1157740.1950620.3195280.00091693
66,A-0.0052840.1256980.2513970.00088828
66,2-0.1192860.1060380.0806270.00088828
66,3-0.1189930.1914380.3122610.00088828
66,4-0.1187200.2877220.5754430.00088828
66,5-0.1186600.3380260.6760520.00088828
67,A0.2228280.1782330.3564660.00091693
67,2-0.1199030.1890300.3097110.00091693
67,3-0.1196100.2861890.5723770.00091693
67,4-0.1193520.3365250.6730510.00091693
67,5-0.119277-0.172996N/V0.00091693
67,6-0.122223-0.245002N/V0.00088828
68,A0.4524500.2309180.4618360.00091693
68,2-0.1204430.2848530.5697070.00091693
68,3-0.1201640.3351340.6702680.00091693
68,4-0.119892-0.173804N/V0.00091693
68,5-0.119817-0.243618N/V0.00091693
68,6-0.122764-0.310248N/V0.00088828
68,7-0.123382-0.374905N/V0.00091693
69,A0.6777490.2817420.5634840.00091693
69,2-0.1209580.3338870.6677740.00091693
69,3-0.120665-0.175023N/V0.00091693
69,4-0.120393-0.238963N/V0.00091693
69,5-0.120318-0.308532N/V0.00091693
69,6-0.123265-0.379473N/V0.00088828
69,7-0.123863-0.438881N/V0.00091693
69,8-0.009010N/VN/V0.00091693
610,A1.5000000.3332310.6664620.00366774
610,2-0.121374-0.171034N/V0.00366774
610,3-0.121081-0.239285N/V0.00366774
610,4-0.120809-0.308390N/V0.00366774
610,5-0.120734-0.377945N/V0.00366774
610,6-0.123661-0.438855N/V0.00355312
610,7-0.008904N/VN/V0.00366774
610,80.221064N/VN/V0.00366774
610,90.451179N/VN/V0.00366774
72,A-0.4737350.120737-0.1805810.00091693
73,A-0.4734910.077289-0.1826450.00091693
73,2-0.474559-0.119475-0.9491180.00091693
74,A-0.4732320.036559-0.1788520.00091693
74,2-0.474305-0.153286-0.8911840.00091693
74,3-0.474060-0.069042-0.5837110.00091693
75,A-0.474314-0.007128-0.1842120.00091693
75,2-0.475388-0.068693-0.5863810.00091693
75,3-0.4751430.083432-0.1808970.00091693
75,4-0.4748890.1751750.1146530.00091693
76,A-0.1045680.054483-0.0100740.00091693
76,2-0.4759590.083509-0.1826220.00091693
76,3-0.4757130.1750170.1130180.00091693
76,4-0.4754730.2604070.4026060.00091693
76,5-0.4765550.2931080.4680530.00091693
77,A0.4012920.1715900.2227460.00088828
77,2-0.4764790.1736880.1112580.00088828
77,3-0.4762480.2594790.3991750.00088828
77,4-0.4759940.2927020.4664800.00088828
77,5-0.477075-0.217865N/V0.00088828
77,6-0.477646-0.276056N/V0.00088828
78,A0.6157950.2208760.3203720.00091693
78,2-0.4769100.2581550.3953550.00091693
78,3-0.4766650.2921620.4641220.00091693
78,4-0.476411-0.216650N/V0.00091693
78,5-0.477493-0.275854N/V0.00091693
78,6-0.478066-0.324429N/V0.00091693
78,7-0.478567-0.364365N/V0.00088828
79,A0.7732630.2552160.3875700.00091693
79,2-0.4775540.2918470.4621310.00091693
79,3-0.477309-0.216882N/V0.00091693
79,4-0.477055-0.269599N/V0.00091693
79,5-0.478138-0.324368N/V0.00091693
79,6-0.478689-0.369001N/V0.00091693
79,7-0.479214-0.410030N/V0.00088828
79,8-0.109007N/VN/V0.00091693
710,A1.5000000.2914540.4635480.00366774
710,2-0.475044-0.212688N/V0.00366774
710,3-0.474799-0.269217N/V0.00366774
710,4-0.474546-0.323738N/V0.00366774
710,5-0.475618-0.369137N/V0.00366774
710,6-0.476193-0.410173N/V0.00366774
710,7-0.108354N/VN/V0.00355312
710,80.398196N/VN/V0.00366774
710,90.615281N/VN/V0.00366774
82,A-0.5101380.052400-0.3141850.00091693
83,A-0.5098790.015663-0.3074280.00091693
83,2-0.510811-0.187408-1.0216210.00091693
84,A-0.510949-0.028065-0.3143340.00091693
84,2-0.511880-0.219089-1.0038190.00091693
84,3-0.511626-0.212600-0.8472840.00091693
85,A-0.510897-0.068732-0.3164640.00091693
85,2-0.511829-0.211400-0.8476770.00091693
85,3-0.511574-0.059567-0.4490310.00091693
85,4-0.5126570.099532-0.0228710.00091693
86,A-0.382427-0.072047-0.2522970.00091693
86,2-0.512328-0.059384-0.4504600.00091693
86,3-0.5120870.100484-0.0217180.00091693
86,4-0.5131560.1992060.2903560.00091693
86,5-0.5131030.2301330.3527740.00091693
87,A0.1075170.040692-0.0286450.00091693
87,2-0.5127830.099394-0.0229010.00091693
87,3-0.5125280.2000300.2910840.00091693
87,4-0.5135970.2290920.3495030.00091693
87,5-0.513545-0.277274N/V0.00091693
87,6-0.514046-0.331884N/V0.00091693
88,A0.5953750.1527360.1943010.00088828
88,2-0.5134290.1988610.2873190.00088828
88,3-0.5131750.2289230.3482330.00088828
88,4-0.514244-0.277171N/V0.00088828
88,5-0.514192-0.330999N/V0.00088828
88,6-0.514672-0.371589N/V0.00088828
88,7-0.515118-0.412415N/V0.00088828
89,A0.7909480.1947790.2797750.00091693
89,2-0.5109220.2282100.3479120.00091693
89,3-0.510668-0.276866N/V0.00091693
89,4-0.511737-0.325404N/V0.00091693
89,5-0.511675-0.371645N/V0.00091693
89,6-0.512179-0.417255N/V0.00091693
89,7-0.512624-0.454840N/V0.00091693
89,8-0.386104N/VN/V0.00088828
810,A1.5000000.2288820.3485170.00366774
810,2-0.511354-0.271893N/V0.00366774
810,3-0.511101-0.324221N/V0.00366774
810,4-0.512159-0.370188N/V0.00366774
810,5-0.512109-0.416875N/V0.00366774
810,6-0.512612-0.454468N/V0.00366774
810,7-0.383670N/VN/V0.00366774
810,80.104526N/VN/V0.00355312
810,90.591784N/VN/V0.00366774
92,A-0.540131-0.035002-0.4465090.00091693
93,A-0.541202-0.073354-0.4488800.00091693
93,2-0.541971-0.266148-1.0839430.00091693
94,A-0.541140-0.112360-0.4523230.00091693
94,2-0.541909-0.294053-1.0652150.00091693
94,3-0.542979-0.287676-0.9557580.00091693
95,A-0.541066-0.150716-0.4559240.00091693
95,2-0.541835-0.285428-0.9534910.00091693
95,3-0.542919-0.211080-0.7164260.00091693
95,4-0.542856-0.052188-0.2983090.00091693
96,A-0.421226-0.147898-0.3943840.00091693
96,2-0.542313-0.209957-0.7152100.00091693
96,3-0.543383-0.052069-0.2993920.00091693
96,4-0.5433200.1166890.1468960.00091693
96,5-0.5432450.1576330.2294760.00091693
97,A-0.182777-0.099039-0.2861930.00091693
97,2-0.542938-0.052171-0.2980240.00091693
97,3-0.5440080.1166490.1454100.00091693
97,4-0.5439450.1572190.2273390.00091693
97,5-0.543872-0.345808N/V0.00091693
97,6-0.544316-0.390848N/V0.00091693
98,A0.2876110.007557-0.0716180.00091693
98,2-0.5404330.1167840.1475840.00091693
98,3-0.5415030.1560770.2262570.00091693
98,4-0.541441-0.346546N/V0.00091693
98,5-0.541357-0.390263N/V0.00091693
98,6-0.541825-0.431593N/V0.00091693
98,7-0.542453-0.468185N/V0.00091693
99,A0.7592040.1140320.1399700.00088828
99,2-0.5408670.1564450.2260410.00088828
99,3-0.541939-0.346151N/V0.00088828
99,4-0.541866-0.384540N/V0.00088828
99,5-0.541793-0.430361N/V0.00088828
99,6-0.542261-0.472500N/V0.00088828
99,7-0.542889-0.506083N/V0.00088828
99,8-0.421755N/VN/V0.00088828
910,A1.5000000.1570750.2263670.00366774
910,2-0.541272-0.340528N/V0.00366774
910,3-0.542332-0.383833N/V0.00366774
910,4-0.542271-0.428907N/V0.00366774
910,5-0.542198-0.472034N/V0.00366774
910,6-0.542666-0.505749N/V0.00366774
910,7-0.422418N/VN/V0.00366774
910,8-0.184682N/VN/V0.00366774
910,90.284831N/VN/V0.00355312
102,A-0.574759-0.170282-0.6217910.00339243
103,A-0.574696-0.202427-0.6218970.00339243
103,2-0.576778-0.366148-1.1535560.00338355
104,A-0.574637-0.235399-0.6236000.00339243
104,2-0.576718-0.390032-1.1361430.00338355
104,3-0.576668-0.373544-1.0325440.00338355
105,A-0.574558-0.268805-0.6280580.00339243
105,2-0.576654-0.372158-1.0325280.00338355
105,3-0.576589-0.307704-0.8426680.00338355
105,4-0.576529-0.216968-0.5822370.00338355
106,A-0.463168-0.256283-0.5714610.00339243
106,2-0.577277-0.307701-0.8437760.00338355
106,3-0.577213-0.217393-0.5833250.00338355
106,4-0.577153-0.053111-0.1608460.00338355
106,5-0.5770750.0321110.0099540.00338355
107,A-0.240852-0.207463-0.4681040.00339243
107,2-0.574772-0.218687-0.5820870.00338355
107,3-0.574708-0.053600-0.1604580.00338355
107,4-0.5746490.0316310.0098950.00338355
107,5-0.574560-0.429420N/V0.00338355
107,6-0.575187-0.472540N/V0.00338355
108,A-0.016539-0.156221-0.3666130.00339243
108,2-0.575207-0.053527-0.1613650.00338355
108,3-0.5751430.0316030.0088910.00338355
108,4-0.575073-0.429583N/V0.00338355
108,5-0.574996-0.472127N/V0.00338355
108,6-0.575623-0.507515N/V0.00338355
108,7-0.573132-0.539616N/V0.00338355
109,A0.437866-0.053467-0.1628100.00339243
109,2-0.5756110.0310510.0068250.00338355
109,3-0.575537-0.429911N/V0.00338355
109,4-0.575479-0.466919N/V0.00338355
109,5-0.575402-0.506207N/V0.00338355
109,6-0.576028-0.543461N/V0.00338355
109,7-0.573537-0.572420N/V0.00338355
109,8-0.461445N/VN/V0.00338355
1010,A1.5000000.0337610.0115860.01346372
1010,2-0.575975-0.425294N/V0.01342848
1010,3-0.575913-0.466330N/V0.01342848
1010,4-0.575855-0.505451N/V0.01342848
1010,5-0.575778-0.542476N/V0.01342848
1010,6-0.576404-0.571928N/V0.01342848
1010,7-0.463807N/VN/V0.01342848
1010,8-0.239373N/VN/V0.01342848
1010,9-0.014886N/VN/V0.01342848


Splitting Possible



Blackjack Appendix 9 -- 8 Decks, Dealer Hits on Soft 17

Dealer Player Stand Hit Double Split
DAS -- No
Split
DAS -- Yes
Probability
AA,A-0.722480-0.354395-1.024545-0.539428-0.5394280.00028733
A2,2-0.722134-0.511819-1.444267-1.033122-1.0331220.00030649
A3,3-0.721782-0.546902-1.435007-1.064395-1.0643950.00030649
A4,4-0.721403-0.491952-1.192972-1.112964-1.1129640.00030649
A5,5-0.721529-0.286424-0.639356-1.191566-1.1915660.00030649
A6,6-0.720890-0.576632N/V-1.175449-1.1754490.00030649
A7,7-0.719959-0.638001N/V-1.177474-1.1774740.00030649
A8,8-0.721070-0.682189N/V-1.029094-1.0290940.00030649
A9,9-0.462484N/VN/V-0.840183-0.8401830.00030649
A10,100.112335N/VN/V-0.742847-0.7428470.00505771
2A,A-0.2846450.081466-0.0621730.4815400.4815400.00044414
22,2-0.286259-0.112626-0.572519-0.155196-0.0800060.00041638
23,3-0.286129-0.138949-0.552136-0.206369-0.1306380.00044414
24,4-0.285956-0.022792-0.203115-0.258929-0.1829450.00044414
25,5-0.2821860.1859960.367548-0.319547-0.2750970.00044414
26,6-0.282929-0.253650N/V-0.270820-0.1942320.00044414
27,7-0.283691-0.368785N/V-0.200588-0.1234120.00044414
28,8-0.284429-0.471348N/V-0.0020550.0726110.00044414
29,90.112141N/VN/V0.1531890.1944890.00044414
210,100.633452N/VN/V-0.023125-0.0231250.00727817
3A,A-0.2444050.1037500.0030800.5288680.5288680.00044414
32,2-0.245899-0.080271-0.491799-0.098512-0.0089620.00044414
33,3-0.245732-0.105607-0.471977-0.137081-0.0478390.00041638
34,4-0.2419150.008401-0.130794-0.183062-0.0923030.00044414
35,5-0.2413130.2106200.419754-0.245336-0.1911850.00044414
36,6-0.242051-0.232674N/V-0.194733-0.0981490.00044414
37,7-0.242807-0.354696N/V-0.129305-0.0325800.00044414
38,8-0.243822-0.464173N/V0.0621770.1461690.00044414
39,90.135585N/VN/V0.2050140.2514280.00044414
310,100.644190N/VN/V0.0256640.0256640.00727817
4A,A-0.2020980.1286610.0705020.5781110.5781110.00044414
42,2-0.203452-0.045028-0.406904-0.0339610.0707940.00044414
43,3-0.199640-0.066794-0.380712-0.0563600.0495140.00044414
44,4-0.1989710.043972-0.055286-0.1034340.0038800.00041638
45,5-0.1984470.2371530.474306-0.164048-0.0952720.00044414
46,6-0.199159-0.211201N/V-0.1139190.0040170.00044414
47,7-0.200216-0.340184N/V-0.0521130.0670810.00044414
48,8-0.206080-0.458635N/V0.1242800.2176520.00044414
49,90.164860N/VN/V0.2687560.3197790.00044414
410,100.654940N/VN/V0.0768000.0768000.00727817
5A,A-0.1602320.1597630.1381750.6288920.6288920.00044414
52,2-0.157786-0.005663-0.3155730.0490780.1705470.00044414
53,3-0.157151-0.028484-0.2960390.0237080.1497380.00044414
54,4-0.1565550.0795640.020767-0.0225980.1073260.00044414
55,5-0.1560400.2662940.532588-0.0789410.0074210.00041638
56,6-0.157089-0.189878N/V-0.0327780.1075280.00044414
57,7-0.162978-0.327749N/V0.0180450.1571790.00044414
58,8-0.164209-0.450726N/V0.1968140.2999190.00044414
59,90.195376N/VN/V0.3370660.3928140.00044414
510,100.668790N/VN/V0.1321810.1321810.00727817
6A,A-0.1166410.1889370.2037400.6758930.6758930.00044414
62,2-0.1169830.029218-0.2339660.1224490.2644170.00044414
63,3-0.1163930.008593-0.2151910.0978600.2432440.00044414
64,4-0.1158490.1109660.0886230.0535720.2025900.00044414
65,5-0.1157000.2909270.581855-0.0027540.0982050.00044414
66,6-0.121606-0.174496N/V0.0335510.1908530.00041638
67,7-0.122841-0.315381N/V0.0910840.2496950.00044414
68,8-0.123902-0.438879N/V0.2616360.3749480.00044414
69,90.221002N/VN/V0.3953470.4552320.00044414
610,100.677004N/VN/V0.1827720.1827720.00727817
7A,A-0.4726570.164619-0.1782820.4724120.4724120.00044414
72,2-0.474809-0.088690-0.949618-0.0485790.0081530.00044414
73,3-0.474314-0.153324-0.891195-0.108462-0.0515860.00044414
74,4-0.4738070.085502-0.178278-0.225917-0.1682040.00044414
75,5-0.4759850.2595180.401662-0.329653-0.2967420.00044414
76,6-0.477126-0.218600N/V-0.313801-0.2558660.00044414
77,7-0.478169-0.329129N/V-0.105023-0.0489180.00041638
78,8-0.478988-0.410029N/V0.2645760.3195000.00044414
79,90.399563N/VN/V0.3344810.3644470.00044414
710,100.772322N/VN/V0.0616810.0616810.00727817
8A,A-0.5092020.094712-0.3122430.3574430.3574430.00044414
82,2-0.511064-0.157443-1.022129-0.215029-0.1768000.00044414
83,3-0.510557-0.218685-1.001173-0.269707-0.2310320.00044414
84,4-0.512695-0.059294-0.451269-0.365079-0.3259470.00044414
85,5-0.5126040.1991410.291445-0.481348-0.4582020.00044414
86,6-0.513603-0.277348N/V-0.458017-0.4187240.00044414
87,7-0.514468-0.376254N/V-0.429551-0.3913340.00044414
88,8-0.515767-0.454672N/V-0.064082-0.0276410.00041638
89,90.100941N/VN/V0.2098630.2311100.00044414
810,100.790770N/VN/V-0.090050-0.0900500.00727817
9A,A-0.539362-0.000231-0.4522690.2352480.2352480.00044414
92,2-0.540900-0.238579-1.081800-0.403973-0.3851260.00044414
93,3-0.543042-0.294599-1.067483-0.451476-0.4329960.00044414
94,4-0.542930-0.209943-0.716400-0.528123-0.5092750.00044414
95,5-0.5427810.1166140.147967-0.651132-0.6375340.00044414
96,6-0.543711-0.345349N/V-0.623318-0.6043480.00044414
97,7-0.544944-0.436155N/V-0.592570-0.5747050.00044414
98,8-0.539962-0.506614N/V-0.407864-0.3893750.00044414
99,9-0.184712N/VN/V-0.092854-0.0806980.00041638
910,100.756649N/VN/V-0.257088-0.2570880.00727817
10A,A-0.572677-0.135004-0.6168450.0229530.0229530.00164751
102,2-0.576842-0.342832-1.153683-0.641336-0.6413360.00163891
103,3-0.576714-0.389720-1.136132-0.683773-0.6837730.00163891
104,4-0.576608-0.306594-0.842677-0.750924-0.7509240.00163891
105,5-0.576450-0.052878-0.159774-0.851550-0.8515500.00163891
106,6-0.577678-0.429630N/V-0.833092-0.8330920.00163891
107,7-0.572696-0.513025N/V-0.781172-0.7811720.00163891
108,8-0.573568-0.572399N/V-0.617779-0.6177790.00163891
109,9-0.236981N/VN/V-0.465030-0.4650300.00163891
1010,100.437272N/VN/V-0.422795-0.4227950.02643732


N/V = Not a viable play.

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