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 |
- |
|