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OpenHoldem

Starting Hand Ranking

OpenHoldem uses a starting hand rank table that is based on the 2652 possible starting two card hands. The original discussion around these hand rankings was developed by Ray Bornert and can be found on the WinHoldem forum(http://forum.winholdem.net/wbb/viewtopic.php?t=94 and http://forum.winholdem.net/wbb/viewtopic.php?t=316). It lists for each possible number of opponents each possible starting hand from best to worst and shows the number of hands equal or better. This table is as follows:

number of opponents on the X axis (using f$prwin_number_of_oppoents to be flexible)
hand rank (1 is best) on the Y axis
*leading : deal probability less than 1/nplayersdealt *
trailing*: +50% probability all opponent hands are worse

Hand Rank Table

opponents	9	8	7	6	5	4	3	2	1
1	AAo 12	AAo 12	AAo 12	AAo 12	AAo 12	AAo 12	AAo 12	AAo 12	AAo 12
2	KKo 24	KKo 24	KKo 24	KKo 24	KKo 24	KKo 24	KKo 24	KKo 24	KKo 24
3	QQo 36	QQo 36	QQo 36	QQo 36	QQo 36	QQo 36	QQo 36	QQo 36	QQo 36
4	AKs 44	AKs 44	JJo 48	JJo 48	JJo 48	JJo 48	JJo 48	JJo 48	JJo 48
5	JJo 56	JJo 56	AKs 56	AKs 56	AKs 56	TTo 60	TTo 60	TTo 60	TTo 60
6	AQs 64	AQs 64	AQs 64	AQs 64	TTo 68	AKs 68	99o 72	99o 72	99o 72
7	KQs 72	KQs 72	KQs 72	TTo 76	AQs 76	AQs 76	AKs 80	AKs 80	88o 84
8	AJs 80	AJs 80	TTo 84	KQs 84	KQs 84	99o 88	AQs 88	88o 92	AKs 92
9	TTo 92	TTo 92	AJs 92	AJs 92	AKo 108	KQs 96	AKo 112	AQs 100	77o 104
10	KJs 100	AKo 116	AKo 116	AKo 116	AJs 116	AKo 120	AJs 120	AKo 124	AQs 112
11	AKo 124	KJs 124	KJs 124	KJs 124	99o 128	AJs 128	KQs 128	AJs 132	AKo 136
12	ATs 132	ATs 132	ATs 132	ATs 132	KJs 136	KJs 136	88o 140	77o 144	AJs 144
13	QJs 140	QJs 140	QJs 140	QJs 140	ATs 144	ATs 144	ATs 148	KQs 152	AQo 168
14	KTs 148	KTs 148	KTs 148	99o 152	QJs 152	AQo 168	AQo 172	ATs 160	ATs 176
15	QTs 156	QTs 156	99o 160	KTs 160	AQo 176	88o 180	KJs 180	AQo 184	66o 188
16	JTs 164	99o 168	QTs 168	AQo 184	KTs 184	QJs 188	QJs 188	KJs 192	AJo 212
17	99o 176	JTs 176	AQo 192	QTs 192	KQo 208	KTs 196	KTs 196	AJo 216	KQs 220
18	*AQo 200	AQo 200	JTs 200	JTs 200	QTs 216	KQo 220	KQo 220	KTs 224	ATo 244
19	*A9s 208	*KQo 224	KQo 224	KQo 224	88o 228	QTs 228	AJo 244	KQo 248	A9s 252
20	*KQo 232	*A9s 232	A9s 232	88o 236	JTs 236	AJo 252	77o 256	A9s 256	KJs 260
21	*88o 244	*88o 244	88o 244	A9s 244	AJo 260	JTs 260	QTs 264	QJs 264	A8s 268
22	*K9s 252	*K9s 252	*AJo 268	AJo 268	A9s 268	A9s 268	A9s 272	ATo 288	KTs 276
23	*T9s 260	*T9s 260	*K9s 276	K9s 276	KJo 292	KJo 292	ATo 296	66o 300	KQo 300
24	A8s 268	*AJo 284	*A8s 284	*KJo 300	K9s 300	77o 304	JTs 304	A8s 308	55o 312
25	J9s 276	*A8s 292	*T9s 292	*A8s 308	A8s 308	ATo 328	KJo 328	KJo 332	A7s 320
26	Q9s 284	J9s 300	*KJo 316	*Q9s 316	QJo 332	K9s 336	A8s 336	QTs 340	A9o 344
27	77o 296	Q9s 308	*Q9s 324	*QJo 340	*ATo 356	A8s 344	K9s 344	K9s 348	KJo 368
28	AJo 320	KJo 332	J9s 332	*T9s 348	*77o 368	QJo 368	QJo 368	JTs 356	QJs 376
29	A5s 328	77o 344	QJo 356	*J9s 356	*Q9s 376	Q9s 376	66o 380	A7s 364	K9s 384
30	A7s 336	A5s 352	77o 368	ATo 380	*T9s 384	KTo 400	KTo 404	KTo 388	KTo 408
31	A4s 344	A7s 360	A7s 376	77o 392	*J9s 392	A7s 408	A7s 412	QJo 412	A8o 432
32	KJo 368	QJo 384	A5s 384	A7s 400	*KTo 416	J9s 416	Q9s 420	A9o 436	A6s 440
33	A3s 376	A4s 392	ATo 408	KTo 424	*A7s 424	*T9s 424	QTo 444	55o 448	QTs 448
34	66o 388	A3s 400	A4s 416	A5s 432	*A5s 432	*QTo 448	J9s 452	A5s 456	A5s 456
35	A6s 396	A6s 408	KTo 440	A4s 440	QTo 456	*A5s 456	A5s 460	A6s 464	A4s 464
36	QJo 420	ATo 432	A6s 448	QTo 464	JTo 480	*66o 468	T9s 468	Q9s 472	A7o 488
37	K8s 428	K8s 440	K8s 456	K8s 472	K8s 488	*JTo 492	A9o 492	QTo 496	QJo 512
38	A2s 436	66o 452	A3s 464	A6s 480	A4s 496	*A6s 500	A6s 500	A8o 520	K8s 520
39	T8s 444	A2s 460	JTo 488	JTo 504	A6s 504	*K8s 508	JTo 524	K8s 528	A3s 528
40	98s 452	T8s 468	QTo 512	A3s 512	66o 516	*A4s 516	K8s 532	A4s 536	K9o 552
41	J8s 460	KTo 492	66o 524	66o 524	A3s 524	A9o 540	A4s 540	J9s 544	44o 564
42	ATo 484	98s 500	T8s 532	T8s 532	Q8s 532	A3s 548	*55o 552	K9o 568	Q9s 572
43	Q8s 492	Q8s 508	A2s 540	Q8s 540	T8s 540	Q8s 556	*A3s 560	A3s 576	JTs 580
44	55o 504	J8s 516	Q8s 548	A2s 548	K7s 548	K7s 564	*K7s 568	JTo 600	QTo 604
45	K7s 512	JTo 540	98s 556	J8s 556	J8s 556	J8s 572	*Q8s 576	K7s 608	A6o 628
46	JTo 536	QTo 564	J8s 564	K7s 564	98s 564	T8s 580	*A8o 600	A7o 632	K7s 636
47	KTo 560	K7s 572	K7s 572	98s 572	A2s 572	A2s 588	*K9o 624	T9s 640	A5o 660
48	44o 572	55o 584	K6s 580	K6s 580	A9o 596	98s 596	*J8s 632	Q8s 648	A2s 668
49	33o 584	87s 592	55o 592	55o 592	K6s 604	K9o 620	*A2s 640	A2s 656	K6s 676
50	22o 596	K6s 600	87s 600	A9o 616	K9o 628	55o 632	*T8s 648	K6s 664	A4o 700
51	QTo 620	44o 612	K5s 608	87s 624	55o 640	K6s 640	*K6s 656	44o 676	K8o 724
52	87s 628	97s 620	97s 616	K5s 632	K5s 648	A8o 664	98s 664	Q9o 700	Q8s 732
53	K6s 636	33o 632	44o 628	97s 640	87s 656	Q9o 688	Q9o 688	A5o 724	J9s 740
54	97s 644	22o 644	K4s 636	Q7s 648	Q7s 664	K5s 696	A7o 712	A6o 748	A3o 764
55	K5s 652	K5s 652	T7s 644	K4s 656	A8o 688	T9o 720	K5s 720	J8s 756	K5s 772
56	76s 660	T7s 660	Q7s 652	T7s 664	Q9o 712	Q7s 728	J9o 744	K5s 764	Q9o 796
57	T7s 668	K4s 668	J7s 660	K9o 688	T7s 720	J9o 752	T9o 768	*K8o 788	JTo 820
58	K4s 676	76s 676	K3s 668	J7s 696	97s 728	K4s 760	Q7s 776	*T8s 796	K7o 844
59	K3s 684	Q7s 684	A9o 692	K3s 704	K4s 736	T7s 768	A5o 800	*A4o 820	A2o 868
60	Q7s 692	K3s 692	76s 700	T9o 728	T9o 760	J7s 776	44o 812	*J9o 844	K4s 876
61	K2s 700	J7s 700	33o 712	44o 740	J7s 768	87s 784	K4s 820	*Q7s 852	33o 888
62	J7s 708	K2s 708	K2s 720	Q6s 748	J9o 792	A7o 808	A6o 844	*K4s 860	Q7s 896
63	86s 716	86s 716	Q6s 728	Q9o 772	K3s 800	97s 816	K8o 868	*98s 868	K6o 920
64	65s 724	65s 724	22o 740	J9o 796	Q6s 808	Q6s 824	J7s 876	A3o 892	T9s 928
65	54s 732	Q6s 732	K9o 764	K2s 804	44o 820	K3s 832	Q6s 884	K7o 916	J8s 936
66	Q6s 740	54s 740	86s 772	76s 812	K2s 828	44o 844	T7s 892	T9o 940	K3s 944
67	75s 748	A9o 764	T9o 796	A8o 836	76s 836	A5o 868	97s 900	Q6s 948	Q8o 968
68	Q5s 756	Q5s 772	65s 804	86s 844	Q5s 844	K8o 892	87s 908	K3s 956	Q6s 976
69	96s 764	T9o 796	Q5s 812	Q5s 852	A7o 868	K2s 900	K3s 916	J7s 964	J9o 1000
70	Q4s 772	96s 804	J9o 836	33o 864	86s 876	Q5s 908	A4o 940	Q8o 988	K5o 1024
71	Q3s 780	75s 812	Q9o 860	65s 872	A5o 900	A6o 932	Q5s 948	A2o 1012	K2s 1032
72	64s 788	Q4s 820	96s 868	Q4s 880	Q4s 908	76s 940	K2s 956	33o 1024	Q5s 1040
73	T9o 812	K9o 844	54s 876	96s 888	96s 916	A4o 964	Q8o 980	K6o 1048	T8s 1048
74	Q2s 820	J9o 868	Q4s 884	22o 900	T6s 924	86s 972	K7o 1004	Q5s 1056	J7s 1056
75	A9o 844	Q3s 876	A8o 908	T6s 908	33o 936	Q4s 980	A3o 1028	K2s 1064	K4o 1080
76	T6s 852	64s 884	75s 916	Q3s 916	K8o 960	Q8o 1004	J8o 1052	T7s 1072	Q7o 1104
77	53s 860	T6s 892	T6s 924	A7o 940	J6s 968	J6s 1012	Q4s 1060	J8o 1096	T9o 1128
78	J6s 868	Q9o 916	Q3s 932	J6s 948	65s 976	T8o 1036	T8o 1084	97s 1104	Q4s 1136
79	85s 876	Q2s 924	J6s 940	75s 956	Q3s 984	T6s 1044	J6s 1092	87s 1112	J8o 1160
80	J9o 900	J6s 932	Q2s 948	54s 964	A6o 1008	96s 1052	76s 1100	Q4s 1120	K3o 1184
81	K9o 924	85s 940	64s 956	Q2s 972	A4o 1032	J8o 1076	A2o 1124	K5o 1144	22o 1196
82	43s 932	53s 948	85s 964	A5o 996	T8o 1056	A3o 1100	98o 1148	T8o 1168	Q6o 1220
83	J5s 940	A8o 972	J5s 972	J5s 1004	J5s 1064	K7o 1124	33o 1160	J6s 1176	Q3s 1228
84	Q9o 964	J5s 980	53s 980	K8o 1028	Q8o 1088	Q3s 1132	K6o 1184	Q3s 1184	98s 1236
85	74s 972	J4s 988	A7o 1004	85s 1036	Q2s 1096	98o 1156	T6s 1192	Q7o 1208	T7s 1244
86	J4s 980	74s 996	J4s 1012	64s 1044	75s 1104	33o 1168	86s 1200	98o 1232	J6s 1252
87	J3s 988	43s 1004	A5o 1036	A4o 1068	J8o 1128	J5s 1176	96s 1208	K4o 1256	K2o 1276
88	J2s 996	J3s 1012	J3s 1044	T8o 1092	98o 1152	65s 1184	Q3s 1216	T6s 1264	Q2s 1284
89	95s 1004	95s 1020	95s 1052	J4s 1100	54s 1160	Q2s 1192	J5s 1224	J5s 1272	Q5o 1308
90	63s 1012	J2s 1028	74s 1060	A6o 1124	22o 1172	A2o 1216	Q2s 1232	Q2s 1280	J5s 1316
91	A8o 1036	63s 1036	T8o 1084	98o 1148	A3o 1196	75s 1224	K5o 1256	96s 1288	T8o 1340
92	T5s 1044	T5s 1044	J2s 1092	Q8o 1172	K7o 1220	J4s 1232	J4s 1264	Q6o 1312	J7o 1364
93	52s 1052	A5o 1068	43s 1100	J8o 1196	J4s 1228	K6o 1256	65s 1272	76s 1320	Q4o 1388
94	42s 1060	A7o 1092	A4o 1124	J3s 1204	85s 1236	85s 1264	Q7o 1296	86s 1328	97s 1396
95	T4s 1068	T8o 1116	K8o 1148	53s 1212	J3s 1244	54s 1272	75s 1304	J7o 1352	J4s 1404
96	T3s 1076	T4s 1124	T5s 1156	A3o 1236	64s 1252	J3s 1280	J7o 1328	22o 1364	T6s 1412
97	84s 1084	98o 1148	98o 1180	95s 1244	95s 1260	22o 1292	J3s 1336	K3o 1388	J3s 1420
98	98o 1108	T3s 1156	J8o 1204	J2s 1252	A2o 1284	T5s 1300	85s 1344	J4s 1396	Q3o 1444
99	T2s 1116	84s 1164	T4s 1212	T5s 1260	T5s 1292	95s 1308	K4o 1368	T7o 1420	98o 1468
100	A5o 1140	52s 1172	63s 1220	74s 1268	J2s 1300	J2s 1316	T7o 1392	Q5o 1444	T7o 1492
101	T8o 1164	A4o 1196	A6o 1244	K7o 1292	K6o 1324	64s 1324	T5s 1400	J3s 1452	J6o 1516
102	A7o 1188	T2s 1204	A3o 1268	T4s 1300	T4s 1332	K5o 1348	95s 1408	K2o 1476	87s 1524
103	73s 1196	42s 1212	Q8o 1292	43s 1308	53s 1340	Q7o 1372	97o 1432	T5s 1484	J2s 1532
104	32s 1204	K8o 1236	T3s 1300	A2o 1332	74s 1348	87o 1396	87o 1456	97o 1508	96s 1540
105	A4o 1228	A3o 1260	84s 1308	T3s 1340	87o 1372	T4s 1404	22o 1468	87o 1532	Q2o 1564
106	94s 1236	J8o 1284	T2s 1316	84s 1348	T3s 1380	T7o 1428	Q6o 1492	65s 1540	J5o 1588
107	93s 1244	A6o 1308	52s 1324	63s 1356	97o 1404	J7o 1452	J2s 1500	J2s 1548	T5s 1596
108	62s 1252	73s 1316	A2o 1348	T2s 1364	43s 1412	97o 1476	54s 1508	95s 1556	T4s 1604
109	A3o 1276	Q8o 1340	K7o 1372	87o 1388	T7o 1436	74s 1484	T4s 1516	75s 1564	97o 1628
110	K8o 1300	94s 1348	42s 1380	K6o 1412	T2s 1444	K4o 1508	K3o 1540	Q4o 1588	J4o 1652
111	J8o 1324	32s 1356	87o 1404	52s 1420	84s 1452	T3s 1516	64s 1548	T4s 1596	T6o 1676
112	92s 1332	93s 1364	94s 1412	94s 1428	K5o 1476	53s 1524	Q5o 1572	85s 1604	86s 1684
113	A6o 1356	A2o 1388	73s 1420	97o 1452	Q7o 1500	Q6o 1548	T3s 1580	J6o 1628	95s 1692
114	87o 1380	87o 1412	93s 1428	93s 1460	63s 1508	84s 1556	K2o 1604	T3s 1636	T3s 1700
115	Q8o 1404	92s 1420	92s 1436	73s 1468	J7o 1532	T2s 1564	74s 1612	Q3o 1660	J3o 1724
116	83s 1412	62s 1428	32s 1444	42s 1476	94s 1540	K3o 1588	84s 1620	54s 1668	76s 1732
117	A2o 1436	K7o 1452	97o 1468	T7o 1500	K4o 1564	94s 1596	T2s 1628	T6o 1692	87o 1756
118	82s 1444	83s 1460	K6o 1492	K5o 1524	93s 1572	43s 1604	76o 1652	J5o 1716	T2s 1764
119	97o 1468	97o 1484	62s 1500	92s 1532	52s 1580	63s 1612	Q4o 1676	T2s 1724	96o 1788
120	72s 1476	82s 1492	83s 1508	Q7o 1556	73s 1588	76o 1636	94s 1684	96o 1748	J2o 1812
121	K7o 1500	76o 1516	T7o 1532	J7o 1580	Q6o 1612	Q5o 1660	53s 1692	64s 1756	85s 1820
122	76o 1524	72s 1524	82s 1540	32s 1588	76o 1636	93s 1668	J6o 1716	86o 1780	T5o 1844
123	T7o 1548	K6o 1548	76o 1564	76o 1612	92s 1644	K2o 1692	T6o 1740	76o 1804	94s 1852
124	65o 1572	T7o 1572	K5o 1588	83s 1620	K3o 1668	86o 1716	86o 1764	Q2o 1828	T4o 1876
125	K6o 1596	65o 1596	J7o 1612	62s 1628	42s 1676	92s 1724	96o 1788	94s 1836	75s 1884
126	86o 1620	K5o 1620	72s 1620	K4o 1652	86o 1700	73s 1732	93s 1796	74s 1844	93s 1892
127	54o 1644	86o 1644	Q7o 1644	82s 1660	83s 1708	96o 1756	Q3o 1820	84s 1852	86o 1916
128	K5o 1668	J7o 1668	K4o 1668	86o 1684	K2o 1732	52s 1764	63s 1828	J4o 1876	65s 1924
129	J7o 1692	54o 1692	86o 1692	Q6o 1708	Q5o 1756	Q4o 1788	43s 1836	93s 1884	95o 1948
130	Q7o 1716	Q7o 1716	65o 1716	K3o 1732	82s 1764	J6o 1812	J5o 1860	53s 1892	T3o 1972
131	75o 1740	K4o 1740	K3o 1740	72s 1740	62s 1772	T6o 1836	92s 1868	J3o 1916	84s 1980
132	K4o 1764	K3o 1764	Q6o 1764	K2o 1764	32s 1780	83s 1844	73s 1876	92s 1924	92s 1988
133	K3o 1788	75o 1788	K2o 1788	65o 1788	96o 1804	42s 1852	Q2o 1900	T5o 1948	76o 2012
134	96o 1812	K2o 1812	54o 1812	96o 1812	65o 1828	65o 1876	65o 1924	63s 1956	T2o 2036
135	64o 1836	Q6o 1836	96o 1836	Q5o 1836	T6o 1852	82s 1884	83s 1932	65o 1980	74s 2044
136	K2o 1860	96o 1860	75o 1860	54o 1860	Q4o 1876	Q3o 1908	J4o 1956	73s 1988	85o 2068
137	53o 1884	64o 1884	Q5o 1884	T6o 1884	J6o 1900	J5o 1932	52s 1964	43s 1996	54s 2076
138	Q6o 1908	Q5o 1908	T6o 1908	75o 1908	72s 1908	62s 1940	75o 1988	95o 2020	64s 2084
139	85o 1932	T6o 1932	Q4o 1932	Q4o 1932	75o 1932	75o 1964	82s 1996	75o 2044	83s 2092
140	T6o 1956	53o 1956	64o 1956	J6o 1956	Q3o 1956	32s 1972	85o 2020	83s 2052	94o 2116
141	Q5o 1980	Q4o 1980	J6o 1980	Q3o 1980	54o 1980	Q2o 1996	42s 2028	J2o 2076	75o 2140
142	43o 2004	85o 2004	Q3o 2004	Q2o 2004	J5o 2004	72s 2004	J3o 2052	85o 2100	82s 2148
143	Q4o 2028	J6o 2028	85o 2028	85o 2028	Q2o 2028	J4o 2028	T5o 2076	T4o 2124	93o 2172
144	Q3o 2052	Q3o 2052	53o 2052	64o 2052	85o 2052	54o 2052	62s 2084	82s 2132	73s 2180
145	74o 2076	Q2o 2076	Q2o 2076	J5o 2076	J4o 2076	85o 2076	95o 2108	52s 2140	65o 2204
146	Q2o 2100	43o 2100	J5o 2100	53o 2100	64o 2100	95o 2100	54o 2132	T3o 2164	53s 2212
147	J6o 2124	74o 2124	74o 2124	J4o 2124	95o 2124	T5o 2124	72s 2140	54o 2188	63s 2220
148	63o 2148	J5o 2148	43o 2148	95o 2148	J3o 2148	J3o 2148	T4o 2164	62s 2196	84o 2244
149	J5o 2172	J4o 2172	J4o 2172	J3o 2172	T5o 2172	64o 2172	J2o 2188	42s 2204	92o 2268
150	95o 2196	95o 2196	95o 2196	74o 2196	53o 2196	J2o 2196	32s 2196	64o 2228	43s 2276
151	52o 2220	63o 2220	J3o 2220	T5o 2220	J2o 2220	T4o 2220	64o 2220	72s 2236	74o 2300
152	J4o 2244	J3o 2244	J2o 2244	43o 2244	74o 2244	74o 2244	T3o 2244	T2o 2260	72s 2308
153	42o 2268	J2o 2268	63o 2268	J2o 2268	T4o 2268	53o 2268	74o 2268	74o 2284	54o 2332
154	J3o 2292	52o 2292	T5o 2292	T4o 2292	43o 2292	T3o 2292	84o 2292	94o 2308	64o 2356
155	J2o 2316	T5o 2316	52o 2316	63o 2316	T3o 2316	84o 2316	T2o 2316	84o 2332	52s 2364
156	84o 2340	84o 2340	T4o 2340	T3o 2340	84o 2340	T2o 2340	53o 2340	32s 2340	62s 2372
157	T5o 2364	42o 2364	84o 2364	84o 2364	63o 2364	94o 2364	94o 2364	93o 2364	83o 2396
158	32o 2388	T4o 2388	T3o 2388	52o 2388	T2o 2388	43o 2388	93o 2388	53o 2388	82o 2420
159	T4o 2412	T3o 2412	42o 2412	T2o 2412	94o 2412	63o 2412	63o 2412	92o 2412	42s 2428
160	T3o 2436	32o 2436	T2o 2436	94o 2436	52o 2436	93o 2436	43o 2436	63o 2436	73o 2452
161	73o 2460	T2o 2460	73o 2460	42o 2460	93o 2460	73o 2460	92o 2460	43o 2460	53o 2476
162	T2o 2484	73o 2484	94o 2484	73o 2484	73o 2484	92o 2484	73o 2484	73o 2484	63o 2500
163	62o 2508	94o 2508	32o 2508	93o 2508	42o 2508	52o 2508	83o 2508	83o 2508	32s 2508
164	94o 2532	62o 2532	93o 2532	92o 2532	92o 2532	83o 2532	52o 2532	82o 2532	43o 2532
165	93o 2556	93o 2556	62o 2556	32o 2556	83o 2556	42o 2556	82o 2556	52o 2556	72o 2556
166	92o 2580	92o 2580	92o 2580	83o 2580	62o 2580	82o 2580	42o 2580	62o 2580	52o 2580
167	83o 2604	83o 2604	83o 2604	62o 2604	32o 2604	62o 2604	62o 2604	42o 2604	62o 2604
168	82o 2628	82o 2628	82o 2628	82o 2628	82o 2628	32o 2628	72o 2628	72o 2628	42o 2628
169	72o 2652	72o 2652	72o 2652	72o 2652	72o 2652	72o 2652	32o 2652	32o 2652	32o 2652

Using handrank

The rank order of hands changes depending on the number of opponents (f$prwin_number_of_oppoents).

From this hand rank table, OpenHoldem will derive the symbols handrank169, handrank1326, handrank2652, handrank1000, and handrankp.

There are two initial methods you can use to leverage these hand rankings in your formula. First, if you want a static rule that will not be affected by folding opponents then you would use this code snippet:

[ betround==1 && handrank2652 <= 2652*dealposition/nplayersdealt**2 ]

Second, if you want a dynamic rule that will be affected by folding opponents then you would use this rule:

[ betround==1 && handrank2652 <= 2652*betposition/nplayersplaying**2 ]

The table above also flags “good” hands with leading and trailing asterisks. The function used to determine the left asterisk is:

handrank2652 <= 2652/nplayersdealt

And the function used for the right asterisk is:

handrank2652 <= 2652 * (1.0 - e**(ln(0.500)/nopponents))

The right asterisk is the point where the probability that all opponent hands are worse becomes 50% or more.

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