Saturday, September 28, 2013

Blackjack Strategy: Dealer Probabilities Before Peek

The next tables show the probability of the dealer forming a final hand given based on the dealer's up-card. The tables assume the dealer failed to yet peek for blackjack. You will find 16 total tables, for 1 to eight decks and set up dealer stands or hits on soft 17. For seller probabilities following the dealer checks for blackjack please see here.

1 Decks- Dealer Stands on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.1261280.1310030.1294860.1315530.05156460.3137260.11654
20.1389760.1317620.1318150.1239480.12052600.352973
30.1303130.1309460.1237610.1233450.11604700.375588
40.1309730.1141630.1206790.1162860.11509600.402803
50.1196870.1234830.1169090.1046940.10632100.428905
60.1669480.1064540.1071920.1007050.097878500.420823
70.3723450.1385830.07733440.07889670.07298700.259854
80.1308570.3629890.1294450.06828980.069791400.238627
90.1218860.1039210.3573910.122250.061108800.233442
100.1144180.1128790.1146620.3288790.03646610.07843140.214264
All0.145830.1380630.134820.1758060.07362960.04826550.283585
2 Decks- Dealer Stands on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.1284670.130890.1301790.1311590.05275420.310680.115872
20.1393670.1333480.1307440.1239970.11925400.353291
30.1327640.1306760.1245750.1218110.1153800.374794
40.1307040.1202080.1210380.1163660.11314500.39854
50.1210050.1228310.1173180.1090220.1073200.422505
60.1662240.106170.1067490.1012170.097507900.422132
70.3704780.1381950.07801260.07878140.073389600.261143
80.1296970.3611820.1290250.06885690.069610100.24163
90.120940.1120160.3540510.1211180.060977100.230898
100.1129040.1121560.1130080.3356080.0354630.07766990.213191
All0.1454820.138780.1341320.1780580.07316850.04779690.282582
3 Decks- Dealer Stands on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.1292430.1308550.1303910.1310330.05313310.3096770.115668
20.1395090.1338690.1303820.1240090.11883300.353398
30.1335390.1306030.1248910.1213110.11515500.374501
40.1306270.1221520.1211560.1164010.11250300.397162
50.1214280.122630.1174480.1104180.10763600.42044
60.1659690.1061610.1065920.1013850.097390400.422503
70.3698450.1380640.07822380.07873370.073587500.261546
80.1293170.360570.1288760.06903950.069541900.242656
90.1206250.1146890.352950.1207430.060928300.230066
100.1124070.1119130.1124720.3378190.03513790.07741940.212832
All0.1453640.1390190.1339080.1787960.073020.04764270.282251
4 Decks- Dealer Stands on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.129630.1308380.1304930.1309710.05331930.3091790.115569
20.1395820.1341290.1302010.1240140.11862300.353451
30.133920.130570.1250560.1210640.11504200.374349
40.1305910.1231110.1212140.116420.11218400.396481
50.1216370.1225330.1175120.1111080.10779200.419419
60.1658380.1061730.1065120.1014680.097332700.422676
70.3695270.1379970.07832680.07870810.073697900.261742
80.1291280.3602630.12880.06912960.069506500.243173
90.1204670.116020.3524010.1205550.06090300.229653
100.112160.1117910.1122080.3389180.03497710.07729470.212651
All0.1453050.1391380.1337960.1791620.07294670.0475660.282086
5 Decks- Dealer Stands on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.1298620.1308280.1305540.1309340.05343010.308880.115511
20.1396260.1342850.1300920.1240170.11849700.353483
30.1341460.1305510.1251570.1209160.11497300.374256
40.130570.1236820.1212480.1164320.11199300.396075
50.1217610.1224750.117550.111520.10788400.41881
60.165760.1061840.1064640.1015180.097298300.422776
70.3693360.1379580.07838770.07869230.073767700.261859
80.1290150.3600780.1287540.06918330.069484800.243485
90.1203730.1168180.3520730.1204430.060887600.229406
100.1120120.1117180.112050.3395760.03488110.07722010.212543
All0.1452690.139210.1337290.1793820.07290310.047520.281987
6 Decks- Dealer Stands on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.1300170.1308220.1305940.130910.05350350.3086820.115473
20.1396560.1343890.130020.1240190.11841300.353504
30.1342960.1305390.1252260.1208170.11492800.374194
40.1305560.1240620.1212720.1164410.11186600.395805
50.1218430.1224370.1175750.1117930.10794500.418406
60.1657070.1061940.1064310.1015510.097275600.422842
70.3692080.1379310.0784280.07868160.073815800.261936
80.128940.3599550.1287230.06921890.069470100.243693
90.120310.1173480.3518540.1203680.060877200.229242
100.1119140.1116690.1119450.3400140.03481740.07717040.212471
All0.1452450.1392580.1336850.1795270.07287410.04748950.281921
7 Decks- Dealer Stands on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.1301270.1308170.1306220.1308920.05355580.308540.115446
20.1396780.1344630.1299680.124020.11835300.353519
30.1344020.130530.1252760.1207470.11489500.374149
40.1305460.1243320.1212880.1164470.11177500.395613
50.1219020.122410.1175930.1119880.10798900.418118
60.1656690.1062020.1064080.1015740.097259400.422888
70.3691170.1379120.07845660.07867380.073850800.26199
80.1288860.3598670.1287010.06924420.069459600.243842
90.1202650.1177270.3516980.1203150.060869700.229125
100.1118440.1116340.111870.3403260.0347720.0771350.212419
All0.1452280.1392920.1336530.1796310.07285350.04746770.281874
8 Decks- Dealer Stands on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.130210.1308130.1306430.1308790.05359490.3084340.115426
20.1396940.1345180.1299290.1240210.11830800.35353
30.1344820.1305240.1253130.1206950.11487100.374115
40.1305390.1245340.12130.1164510.11170700.395469
50.1219460.122390.1176070.1121340.10802100.417902
60.165640.1062080.106390.1015920.097247300.422922
70.3690480.1378980.0784780.07866790.073877500.262031
80.1288460.35980.1286840.06926320.069451700.243954
90.1202310.1180110.3515810.1202750.06086400.229037
100.1117910.1116080.1118140.340560.03473790.07710840.212381
All0.1452150.1393180.1336290.1797090.0728380.04745130.281839
1 Deck- Dealer Hits on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.0561210.1409510.1414830.1437470.0635780.3137260.140394
20.1297790.1331080.1331720.1256230.12197300.356345
30.1235270.1319360.1249490.124210.11730300.378075
40.1227860.1153740.1219070.117790.11634800.405796
50.1166560.1238380.1174480.1052390.10685800.429961
60.1161060.113810.1160560.1096150.10665700.437756
70.3723450.1385830.07733440.07889670.07298700.259854
80.1308570.3629890.1294450.06828980.069791400.238627
90.1218860.1039210.3573910.122250.061108800.233442
100.1144180.1128790.1146620.3288790.03646610.07843140.214264
All0.1344410.1396940.1367570.1777830.07557450.04826550.287485
2 Decks- Dealer Hits on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.0568180.1420650.1423760.1434560.06497960.310680.139626
20.1299490.1348380.1322340.125650.12080100.356527
30.1249990.1319040.1259130.122970.11675400.37746
40.1225750.1214990.1223420.1177980.11445800.401328
50.1175330.1233310.117920.1096270.10792100.423668
60.11550.1141550.1154510.1099560.10618500.438754
70.3704780.1381950.07801260.07878140.073389600.261143
80.1296970.3611820.1290250.06885690.069610100.24163
90.120940.1120160.3540510.1211180.060977100.230898
100.1129040.1121560.1130080.3356080.0354630.07766990.213191
All0.1338540.1406010.1361040.180050.07514820.04779690.286446
3 Decks- Dealer Hits on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.05704540.1424420.1426590.1433680.06542410.3096770.139384
20.1300090.1354090.1319210.1256570.12041100.356593
30.1254570.1319130.1262750.1225730.11656400.377218
40.1225140.1234690.1224820.1178120.11383500.399887
50.1178140.1231820.118070.1110420.10825800.421634
60.1152850.1143460.1152470.1100670.10603200.439022
70.3698450.1380640.07822380.07873370.073587500.261546
80.1293170.360570.1288760.06903950.069541900.242656
90.1206250.1146890.352950.1207430.060928300.230066
100.1124070.1119130.1124720.3378190.03513790.07741940.212832
All0.1336570.1409030.1358920.1807930.07501030.04764270.286103
4 Decks- Dealer Hits on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.05715820.1426320.1427980.1433260.06564230.3091790.139266
20.130040.1356930.1317640.1256590.12021700.356627
30.125680.131920.1264630.1223780.11646800.37709
40.1224860.1244410.1225510.1178210.11352500.399176
50.1179520.1231110.1181430.1117410.10842300.420629
60.1151750.1144560.1151450.1101230.10595700.439144
70.3695270.1379970.07832680.07870810.073697900.261742
80.1291280.3602630.12880.06912960.069506500.243173
90.1204670.116020.3524010.1205550.06090300.229653
100.112160.1117910.1122080.3389180.03497710.07729470.212651
All0.1335580.1410540.1357860.1811630.07494210.0475660.285931
5 Decks- Dealer Hits on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.05722560.1427460.142880.1433010.06577190.308880.139196
20.1300580.1358640.131670.1256610.120100.356647
30.1258120.1319260.1265790.1222620.1164100.377011
40.1224690.1250210.1225930.1178260.1133400.398751
50.1180350.123070.1181870.1121580.10852100.42003
60.1151090.1145260.1150840.1101560.10591200.439214
70.3693360.1379580.07838770.07869230.073767700.261859
80.1290150.3600780.1287540.06918330.069484800.243485
90.1203730.1168180.3520730.1204430.060887600.229406
100.1120120.1117180.112050.3395760.03488110.07722010.212543
All0.1334990.1411440.1357240.1813840.07490140.047520.285829
6 Decks- Dealer Hits on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.05727050.1428220.1429350.1432840.06585780.3086820.139149
20.1300710.1359780.1316070.1256620.12002200.356661
30.12590.131930.1266560.1221850.11637100.376958
40.1224580.1254050.122620.117830.11321700.39847
50.1180890.1230420.1182160.1124350.10858600.419632
60.1150640.1145740.1150430.1101770.10588200.439259
70.3692080.1379310.0784280.07868160.073815800.261936
80.128940.3599550.1287230.06921890.069470100.243693
90.120310.1173480.3518540.1203680.060877200.229242
100.1119140.1116690.1119450.3400140.03481740.07717040.212471
All0.1334590.1412050.1356820.1815310.07487440.04748950.28576
7 Decks- Dealer Hits on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.05730240.1428760.1429740.1432730.06591890.308540.139116
20.130080.1360590.1315630.1256620.11996600.35667
30.1259620.1319340.1267120.122130.11634300.37692
40.122450.1256790.122640.1178330.11312900.398269
50.1181280.1230230.1182370.1126320.10863200.419348
60.1150320.114610.1150140.1101930.10586100.439291
70.3691170.1379120.07845660.07867380.073850800.26199
80.1288860.3598670.1287010.06924420.069459600.243842
90.1202650.1177270.3516980.1203150.060869700.229125
100.1118440.1116340.111870.3403260.0347720.0771350.212419
All0.1334310.1412480.1356520.1816350.07485520.04746770.285711
8 Decks- Dealer Hits on Soft 17
Dealer's
up Card
Dealer's Final Total
1718192021BJBust
Ace0.05732640.1429170.1430030.1432640.06596460.3084340.139091
20.1300870.136120.1315290.1256630.11992400.356677
30.1260080.1319360.1267540.1220890.11632200.376891
40.1224450.1258840.1226540.1178360.11306300.398119
50.1181570.1230090.1182520.112780.10866600.419136
60.1150080.1146370.1149920.1102050.10584500.439314
70.3690480.1378980.0784780.07866790.073877500.262031
80.1288460.35980.1286840.06926320.069451700.243954
90.1202310.1180110.3515810.1202750.06086400.229037
100.1117910.1116080.1118140.340560.03473790.07710840.212381
All0.1334090.141280.135630.1817140.07484080.04745130.285675

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