Вероятность наличия в руке карт одной масти
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 1.27 | 8.00 | 20.58 | 28.63 | 23.86 | 12.46 | 4.15 | 0.88 | 0.11 | 0.01 |
Вероятность найти у партнера количество карт N при наличии в собственной руке M карт
| M\N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|
3 |
0.84 | 6.39 | 19.17 | 29.59 | 25.89 | 13.31 | 4.03 | 0.70 |
|
4 |
1.47 | 9.58 | 24.21 | 31.07 | 22.19 | 9.07 | 2.10 | 0.26 |
|
5 |
2.54 | 13.90 | 29.19 | 30.58 | 17.37 | 5.43 | 0.91 | 0.07 |
|
6 |
4.28 | 19.46 | 33.36 | 27.80 | 12.09 | 2.72 | 0.29 | 0.01 |
|
7 |
7.06 | 26.21 | 35.74 | 22.79 | 7.12 | 1.02 | 0.05 | — |
Вероятность раскладов рук
| расклад | вероятность | расклад | вероятность | расклад | вероятность | ||
| 4-4-3-2 | 21.55 | 6-5-1-1 | 0.70 | 9-2-2-0 | 0.008 | ||
| 5-3-3-2 | 15.52 | 6-5-2-0 | 0.65 | 7-6-0-0 | 0.005 | ||
| 5-4-3-1 | 12.93 | 7-2-2-2 | 0.51 | 8-5-0-0 | 0.003 | ||
| 5-4-2-2 | 10.58 | 7-4-1-1 | 0.39 | 10-2-1-0 | 0.001 | ||
| 4-3-3-3 | 10.54 | 7-4-2-0 | 0.36 | 9-4-0-0 | 0.001 | ||
| 6-3-2-2 | 5.64 | 7-3-3-0 | 0.26 | 10-1-1-1 | 0.0004 | ||
| 6-4-2-1 | 4.70 | 8-2-2-1 | 0.19 | 10-3-0-0 | 0.00015 | ||
| 6-3-3-1 | 3.45 | 8-3-1-1 | 0.12 | 11-1-1-0 | 0.000024 | ||
| 5-5-2-1 | 3.17 | 8-3-2-0 | 0.11 | 11-2-0-0 | 0.000011 | ||
| 4-4-4-1 | 2.99 | 7-5-1-0 | 0.11 | 12-1-0-0 | 0.00000032 | ||
| 7-3-2-1 | 1.88 | 6-6-1-0 | 0.07 | 13-0-0-0 | 0.00000000063 | ||
| 6-4-3-0 | 1.32 | 8-4-1-0 | 0.045 | 13 пик | 0.00000000016 | ||
| 5-4-4-0 | 1.24 | 9-2-1-1 | 0.017 | ||||
| 5-5-3-0 | 0.89 | 9-3-1-0 | 0.010 |
| Равномерный расклад (включая 5-3-3-2 в миноре) |
39.8% |
| Одномастный расклад | 16.8% |
| Двухмастный расклад | 36% |
| Трехмастный расклад | 4.2% |
Вероятность расклада масти у оппонентов, если на вашей линии не хватает N карт (от двух до шести)
| 2 | 2-0 | 48.0 | 5 | 5-0 | 3.90 | |
| 1-1 | 52.0 | 4-1 | 28.26 | |||
| 3 | 3-0 | 22.0 | 3-2 | 67.82 | ||
| 2-1 | 78.0 | 6 | 6-0 | 1.49 | ||
| 4 | 4-0 | 9.56 | 5-1 | 14.54 | ||
| 3-1 | 49.74 | 4-2 | 48.45 | |||
| 2-2 | 40.70 | 3-3 | 35.53 |
Вероятность расклада масти в трех руках, если в собственной руке N карт (от четырех до семи)
| 4 | 4-3-2 | 45.16 | 5 | 3-3-2 | 31.11 | 6 | 3-2-2 | 33.94 | 7 | 3-2-1 | 53.33 | |||
| 5-3-1 | 13.55 | 4-3-1 | 25.92 | 4-2-1 | 28.28 | 2-2-2 | 14.54 | |||||||
| 5-2-2 | 11.08 | 4-2-2 | 21.21 | 3-3-1 | 20.74 | 4-1-1 | 11.11 | |||||||
| 3-3-3 | 11.04 | 5-2-1 | 12.73 | 4-3-0 | 7.98 | 4-2-0 | 10.26 | |||||||
| 4-4-1 | 9.41 | 5-3-0 | 3.59 | 5-1-1 | 4.24 | 3-3-0 | 7.52 | |||||||
| 6-2-1 | 4.93 | 4-4-0 | 2.49 | 5-2-0 | 3.92 | 5-1-0 | 3.08 | |||||||
| 5-4-0 | 2.60 | 6-1-1 | 1.41 | 6-1-0 | 0.87 | 6-0-0 | 0.16 | |||||||
| 6-3-0 | 1.39 | 6-2-0 | 1.30 | 7-0-0 | 0.03 | |||||||||
| 7-1-1 | 0.41 | 7-1-0 | 0.22 | |||||||||||
| 7-2-0 | 0.38 | 8-0-0 | 0.006 | |||||||||||
| 8-1-0 | 0.05 | |||||||||||||
| 9-0-0 | 0.001 |
Вероятность найти L пунктов в одной руке (1) и в двух руках (2)
| L | 1 | 2 | L | 1 | 2 | L | 1 | 2 | ||
| 0 | 0.36 | 0.00005 | 14 | 5.69 | 3.88 | 28 | 0.002 | 2.12 | ||
| 1 | 0.78 | 0.0005 | 15 | 4.42 | 4.89 | 29 | 0.0007 | 1.46 | ||
| 2 | 1.36 | 0.002 | 16 | 3.31 | 5.90 | 30 | 0.0002 | 0.95 | ||
| 3 | 2.46 | 0.006 | 17 | 2.36 | 6.83 | 31 | 0.0001 | 0.58 | ||
| 4 | 3.84 | 0.018 | 18 | 1.60 | 7.56 | 32 | 0.00002 | 0.34 | ||
| 5 | 5.18 | 0.043 | 19 | 1.03 | 8.04 | 33 | 0.000003 | 0.18 | ||
| 6 | 6.55 | 0.09 | 20 | 0.64 | 8.22 | 34 | 0.000001 | 0.09 | ||
| 7 | 8.02 | 0.18 | 21 | 0.37 | 8.04 | 35 | 0.0 | 0.043 | ||
| 8 | 8.89 | 0.34 | 22 | 0.21 | 7.56 | 36 | 0.0 | 0.018 | ||
| 9 | 9.35 | 0.58 | 23 | 0.11 | 6.83 | 37 | 0.0 | 0.006 | ||
| 10 | 9.40 | 0.95 | 24 | 0.056 | 5.90 | 38 | — | 0.002 | ||
| 11 | 8.94 | 1.46 | 25 | 0.026 | 4.89 | 39 | — | 0.0005 | ||
| 12 | 8.02 | 2.12 | 26 | 0.011 | 3.88 | 40 | — | 0.00005 | ||
| 13 | 6.91 | 2.94 | 27 | 0.005 | 2.94 |
Всего 635 013 559 600 (1) и 495 918 532 948 104 (2) вариантов.
Диапазоны пунктов:
| (1) | 0-11 | 12-15 | 16-19 | 20-22 | >22 |
| 65.2% | 25.1% | 8.3% | 1.2% | 0.2% | |
| (2) | 0-20 | 21-24 | 25-29 | 30-33 | >33 |
| 54.1% | 28.4% | 15.3% | 2.1% | 0.2% |
Вероятность найти в руке партнера L пунктов, если в собственной руке К пунктов
| L\K | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |
| 0 | 0.0 | 0.0 | 0.0 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | 0.2 | 0.1 | 0.2 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 1.0 | 1.1 |
| 1 | 0.1 | 0.1 | 0.1 | 0.2 | 0.2 | 0.3 | 0.4 | 0.4 | 0.4 | 0.5 | 0.6 | 0.7 | 0.9 | 1.1 | 1.3 | 1.6 | 1.9 | 2.1 | 2.3 |
| 2 | 0.2 | 0.2 | 0.3 | 0.4 | 0.4 | 0.5 | 0.6 | 0.8 | 0.8 | 0.9 | 1.1 | 1.4 | 1.5 | 1.8 | 2.0 | 2.3 | 2.6 | 3.2 | 3.5 |
| 3 | 0.4 | 0.5 | 0.6 | 0.8 | 0.9 | 1.0 | 1.3 | 1.4 | 1.6 | 1.8 | 2.2 | 2.7 | 2.9 | 3.3 | 3.7 | 4.5 | 4.7 | 5.4 | 6.0 |
| 4 | 0.8 | 1.0 | 1.2 | 1.5 | 1.6 | 1.7 | 2.2 | 2.4 | 2.6 | 3.0 | 3.5 | 4.0 | 4.7 | 5.0 | 5.4 | 5.9 | 7.0 | 7.3 | 8.0 |
| 5 | 1.4 | 1.7 | 2.0 | 2.2 | 2.5 | 2.8 | 3.3 | 3.5 | 4.1 | 4.4 | 4.9 | 5.4 | 6.0 | 6.6 | 7.1 | 7.8 | 8.3 | 9.2 | 9.9 |
| 6 | 2.2 | 2.6 | 2.9 | 3.3 | 3.7 | 4.2 | 4.5 | 5.0 | 5.5 | 6.0 | 6.5 | 7.0 | 7.3 | 8.1 | 8.9 | 9.4 | 9.6 | 10.5 | 11.6 |
| 7 | 3.3 | 3.8 | 4.2 | 4.7 | 5.1 | 5.5 | 6.0 | 6.5 | 7.1 | 7.6 | 8.1 | 8.6 | 9.0 | 9.6 | 10.2 | 10.6 | 11.0 | 11.1 | 11.8 |
| 8 | 4.6 | 5.0 | 5.5 | 6.0 | 6.4 | 6.9 | 7.3 | 7.8 | 8.3 | 8.9 | 9.1 | 9.2 | 9.9 | 10.1 | 10.6 | 10.7 | 10.8 | 10.9 | 11.4 |
| 9 | 5.9 | 6.3 | 6.8 | 7.1 | 7.7 | 8.2 | 8.3 | 8.9 | 9.4 | 9.6 | 9.8 | 9.9 | 10.0 | 10.2 | 10.6 | 10.5 | 9.9 | 10.0 | 10.2 |
| 10 | 7.2 | 7.6 | 8.0 | 8.3 | 8.7 | 9.2 | 9.2 | 9.7 | 9.9 | 10.0 | 10.0 | 9.9 | 9.8 | 9.7 | 9.9 | 9.5 | 9.2 | 8.7 | 8.4 |
| 11 | 8.2 | 8.5 | 8.8 | 9.0 | 9.2 | 9.6 | 9.4 | 9.6 | 9.8 | 9.7 | 9.4 | 9.1 | 9.0 | 8.7 | 8.4 | 7.8 | 7.4 | 6.9 | 6.2 |
| 12 | 8.9 | 9.0 | 9.2 | 9.2 | 9.3 | 9.4 | 9.1 | 9.2 | 9.2 | 8.9 | 8.5 | 8.0 | 7.6 | 7.2 | 6.9 | 6.4 | 5.7 | 5.1 | 4.4 |
| 13 | 9.3 | 9.2 | 9.1 | 9.0 | 9.0 | 9.0 | 8.4 | 8.4 | 8.1 | 7.7 | 7.2 | 6.8 | 6.2 | 5.8 | 5.3 | 4.7 | 4.2 | 3.6 | 2.8 |
| 14 | 9.0 | 8.8 | 8.7 | 8.4 | 8.2 | 8.0 | 7.5 | 7.2 | 6.8 | 6.3 | 5.9 | 5.4 | 4.9 | 4.4 | 3.7 | 3.3 | 2.9 | 2.3 | 1.6 |
| 15 | 8.4 | 8.0 | 7.8 | 7.4 | 7.1 | 6.7 | 6.2 | 5.8 | 5.4 | 4.9 | 4.4 | 4.0 | 3.5 | 3.0 | 2.5 | 2.1 | 1.7 | 1.3 | 0.9 |
| 16 | 7.4 | 7.1 | 6.6 | 6.2 | 5.9 | 5.4 | 5.0 | 4.5 | 4.0 | 3.6 | 3.2 | 2.9 | 2.4 | 2.0 | 1.6 | 1.3 | 1.0 | 0.7 | 0.4 |
| 17 | 6.3 | 5.9 | 5.4 | 5.0 | 4.6 | 4.1 | 3.8 | 3.1 | 2.8 | 2.5 | 2.2 | 1.9 | 1.6 | 1.3 | 0.9 | 0.7 | 0.6 | 0.4 | 0.3 |
| 18 | 5.0 | 4.6 | 4.2 | 3.8 | 3.4 | 3.0 | 2.7 | 2.3 | 1.9 | 1.6 | 1.4 | 1.2 | 1.0 | 0.7 | 0.5 | 0.4 | 0.3 | 0.2 | 0.2 |
| 19 | 3.8 | 3.5 | 3.1 | 2.8 | 2.4 | 2.1 | 1.8 | 1.5 | 1.2 | 1.0 | 0.8 | 0.7 | 0.5 | 0.4 | 0.2 | 0.2 | 0.1 | 0.1 | 0.1 |
| 20 | 2.8 | 2.5 | 2.2 | 2.0 | 1.6 | 1.3 | 1.2 | 0.9 | 0.7 | 0.6 | 0.5 | 0.4 | 0.3 | 0.2 | 0.1 | 0.1 | 0.1 | 0.0 | 0.0 |
| 21 | 1.9 | 1.7 | 1.5 | 1.3 | 1.0 | 0.8 | 0.7 | 0.5 | 0.4 | 0.3 | 0.2 | 0.2 | 0.2 | 0.1 | 0.0 | ||||
| 22 | 1.3 | 1.1 | 0.9 | 1.0 | 0.6 | 0.5 | 0.4 | 0.3 | 0.2 | 0.1 | 0.1 | 0.1 | 0.1 | 0.0 | |||||
| 23 | 0.8 | 0.7 | 0.6 | 0.5 | 0.4 | 0.3 | 0.2 | 0.2 | 0.1 | 0.1 | 0.1 | 0.1 | 0.0 | ||||||
| 24 | 0.5 | 0.4 | 0.3 | 0.3 | 0.2 | 0.1 | 0.1 | 0.1 | 0.0 | ||||||||||
| 25 | 0.3 | 0.2 | 0.2 | 0.1 | 0.1 | 0.1 | 0.1 | 0.0 | |||||||||||
| 26 | 0.1 | 0.1 | 0.1 | 0.1 | 0.0 | ||||||||||||||
| 27 | 0.1 | 0.1 | 0.0 |
| L\K | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 |
| 0 | 1.2 | 1.3 | 1.4 | 1.6 | 2.1 | 2.4 | 2.8 | 4.0 | 4.2 | 4.4 | 4.7 | 6.9 | 7.4 | 8.1 | 11.3 | 14.5 | 18.1 |
| 1 | 3.2 | 2.6 | 3.2 | 4.3 | 5.1 | 5.4 | 6.1 | 8.3 | 8.6 | 9.1 | 11.1 | 13.1 | 16.5 | 17.6 | 20.3 | 27.1 | 30.1 |
| 2 | 4.1 | 4.6 | 5.2 | 6.1 | 6.6 | 8.3 | 9.2 | 10.3 | 10.7 | 13.1 | 15.1 | 15.9 | 19.7 | 23.0 | 24.1 | 27.9 | 25.7 |
| 3 | 6.5 | 7.4 | 8.6 | 9.0 | 10.3 | 10.7 | 12.7 | 13.1 | 15.9 | 17.9 | 18.7 | 19.8 | 20.5 | 23.6 | 22.7 | 20.5 | 17.7 |
| 4 | 9.0 | 9.8 | 10.5 | 11.7 | 12.3 | 13.0 | 14.0 | 14.2 | 16.2 | 16.8 | 17.5 | 17.3 | 17.0 | 16.5 | 13.2 | 10.3 | 6.8 |
| 5 | 10.5 | 11.7 | 12.1 | 12.7 | 12.9 | 13.5 | 14.1 | 14.0 | 14.2 | 15.3 | 13.9 | 12.5 | 11.4 | 8.4 | 6.1 | 2.6 | 0.9 |
| 6 | 12.1 | 12.7 | 12.8 | 12.9 | 13.1 | 12.9 | 12.9 | 12.6 | 12.8 | 11.4 | 10.0 | 8.7 | 5.9 | 3.2 | 1.9 | 0.2 | |
| 7 | 12.0 | 12.8 | 12.1 | 11.9 | 11.5 | 11.2 | 10.4 | 9.6 | 8.2 | 6.9 | 5.6 | 4.2 | 2.5 | 0.7 | 0.2 | — | |
| 8 | 10.6 | 10.2 | 10.1 | 9.9 | 9.0 | 8.3 | 7.4 | 6.5 | 5.2 | 3.9 | 2.5 | 1.8 | 0.6 | 0.1 | — | ||
| 9 | 9.2 | 9.0 | 8.4 | 7.5 | 6.7 | 6.0 | 4.8 | 4.3 | 3.0 | 1.6 | 0.9 | 0.5 | 0.1 | — | |||
| 10 | 7.6 | 7.0 | 6.3 | 5.5 | 5.0 | 3.8 | 2.8 | 2.6 | 1.2 | 0.5 | 0.2 | 0.1 | — | ||||
| 11 | 5.7 | 4.7 | 4.0 | 3.4 | 2.8 | 2.1 | 1.5 | 1.2 | 0.5 | 0.1 | 0.0 | — | |||||
| 12 | 4.0 | 3.0 | 2.6 | 2.0 | 1.6 | 1.1 | 0.6 | 0.5 | 0.1 | 0.0 | — | ||||||
| 13 | 2.6 | 1.7 | 1.4 | 1.0 | 0.8 | 0.4 | 0.2 | 0.1 | 0.0 | — | |||||||
| 14 | 1.5 | 0.8 | 0.6 | 0.5 | 0.3 | 0.1 | 0.0 | 0.0 | — | ||||||||
| 15 | 0.8 | 0.4 | 0.3 | 0.2 | 0.1 | 0.0 | 0.0 | — | |||||||||
| 16 | 0.3 | 0.2 | 0.1 | 0.0 | 0.0 | 0.0 | — | ||||||||||
| 17 | 0.2 | 0.1 | 0.0 | 0.0 | 0.0 | — | |||||||||||
| 18 | 0.1 | 0.0 | 0.0 | 0.0 | — | ||||||||||||
| 19 | 0.0 | 0.0 | 0.0 | — | |||||||||||||
| 20 | 0.0 | 0.0 | — |
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