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.