PART I
| | | |
0 of a suit |
  |
|
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.0013 |
0.0013 |
1.0000 |
1 |
0.0155 |
0.0167 |
0.9987 |
2 |
0.0742 |
0.0909 |
0.9833 |
3 |
0.1870 |
0.2780 |
0.9091 |
4 |
0.2750 |
0.5530 |
0.7220 |
5 |
0.2475 |
0.8006 |
0.4470 |
6 |
0.1390 |
0.9395 |
0.1994 |
7 |
0.0486 |
0.9882 |
0.0605 |
8 |
0.0104 |
0.9986 |
0.0118 |
9 |
0.0013 |
0.9999 |
0.0014 |
10 |
0.0001 |
1.0000 |
0.0001 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
1 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.0025 |
0.0025 |
1.0000 |
1 |
0.0257 |
0.0282 |
0.9975 |
2 |
0.1059 |
0.1341 |
0.9718 |
3 |
0.2285 |
0.3626 |
0.8659 |
4 |
0.2856 |
0.6482 |
0.6374 |
5 |
0.2165 |
0.8647 |
0.3518 |
6 |
0.1010 |
0.9657 |
0.1353 |
7 |
0.0289 |
0.9946 |
0.0343 |
8 |
0.0049 |
0.9995 |
0.0054 |
9 |
0.0005 |
1.0000 |
0.0005 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
2 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.0046 |
0.0046 |
1.0000 |
1 |
0.0412 |
0.0458 |
0.9954 |
2 |
0.1454 |
0.1912 |
0.9542 |
3 |
0.2666 |
0.4578 |
0.8088 |
4 |
0.2806 |
0.7384 |
0.5422 |
5 |
0.1768 |
0.9152 |
0.2616 |
6 |
0.0673 |
0.9826 |
0.0848 |
7 |
0.0153 |
0.9979 |
0.0174 |
8 |
0.0020 |
0.9999 |
0.0021 |
9 |
0.0001 |
1.0000 |
0.0001 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
3 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.0084 |
0.0084 |
1.0000 |
1 |
0.0639 |
0.0722 |
0.9916 |
2 |
0.1917 |
0.2639 |
0.9278 |
3 |
0.2959 |
0.5598 |
0.7361 |
4 |
0.2589 |
0.8188 |
0.4402 |
5 |
0.1332 |
0.9519 |
0.1812 |
6 |
0.0404 |
0.9923 |
0.0481 |
7 |
0.0070 |
0.9993 |
0.0077 |
8 |
0.0007 |
1.0000 |
0.0007 |
9 |
0.0000 |
1.0000 |
0.0000 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
4 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.0147 |
0.0147 |
1.0000 |
1 |
0.0958 |
0.1106 |
0.9853 |
2 |
0.2421 |
0.3527 |
0.8894 |
3 |
0.3107 |
0.6634 |
0.6473 |
4 |
0.2219 |
0.8854 |
0.3366 |
5 |
0.0908 |
0.9762 |
0.1146 |
6 |
0.0211 |
0.9972 |
0.0238 |
7 |
0.0026 |
0.9998 |
0.0028 |
8 |
0.0002 |
1.0000 |
0.0002 |
9 |
0.0000 |
1.0000 |
0.0000 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
5 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.0254 |
0.0254 |
1.0000 |
1 |
0.1390 |
0.1644 |
0.9746 |
2 |
0.2919 |
0.4563 |
0.8356 |
3 |
0.3058 |
0.7621 |
0.5437 |
4 |
0.1737 |
0.9358 |
0.2379 |
5 |
0.0544 |
0.9902 |
0.0642 |
6 |
0.0091 |
0.9993 |
0.0098 |
7 |
0.0007 |
1.0000 |
0.0007 |
8 |
0.0000 |
1.0000 |
0.0000 |
9 |
0.0000 |
1.0000 |
0.0000 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
6 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.0428 |
0.0428 |
1.0000 |
1 |
0.1946 |
0.2374 |
0.9572 |
2 |
0.3336 |
0.5709 |
0.7626 |
3 |
0.2780 |
0.8489 |
0.4291 |
4 |
0.1209 |
0.9698 |
0.1511 |
5 |
0.0272 |
0.9970 |
0.0302 |
6 |
0.0029 |
0.9999 |
0.0030 |
7 |
0.0001 |
1.0000 |
0.0001 |
8 |
0.0000 |
1.0000 |
0.0000 |
9 |
0.0000 |
1.0000 |
0.0000 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
7 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.0706 |
0.0706 |
1.0000 |
1 |
0.2621 |
0.3327 |
0.9294 |
2 |
0.3574 |
0.6901 |
0.6673 |
3 |
0.2279 |
0.9180 |
0.3099 |
4 |
0.0712 |
0.9892 |
0.0820 |
5 |
0.0103 |
0.9995 |
0.0108 |
6 |
0.0005 |
1.0000 |
0.0005 |
7 |
0.0000 |
1.0000 |
0.0000 |
8 |
0.0000 |
1.0000 |
0.0000 |
9 |
0.0000 |
1.0000 |
0.0000 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
8 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.1142 |
0.1142 |
1.0000 |
1 |
0.3376 |
0.4518 |
0.8858 |
2 |
0.3522 |
0.8040 |
0.5482 |
3 |
0.1614 |
0.9655 |
0.1960 |
4 |
0.0323 |
0.9978 |
0.0345 |
5 |
0.0022 |
1.0000 |
0.0022 |
6 |
0.0000 |
1.0000 |
0.0000 |
7 |
0.0000 |
1.0000 |
0.0000 |
8 |
0.0000 |
1.0000 |
0.0000 |
9 |
0.0000 |
1.0000 |
0.0000 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
9 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.1818 |
0.1818 |
1.0000 |
1 |
0.4109 |
0.5927 |
0.8182 |
2 |
0.3082 |
0.9009 |
0.4073 |
3 |
0.0904 |
0.9913 |
0.0991 |
4 |
0.0087 |
1.0000 |
0.0087 |
5 |
0.0000 |
1.0000 |
0.0000 |
6 |
0.0000 |
1.0000 |
0.0000 |
7 |
0.0000 |
1.0000 |
0.0000 |
8 |
0.0000 |
1.0000 |
0.0000 |
9 |
0.0000 |
1.0000 |
0.0000 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
10 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.2845 |
0.2845 |
1.0000 |
1 |
0.4623 |
0.7468 |
0.7155 |
2 |
0.2219 |
0.9687 |
0.2532 |
3 |
0.0313 |
1.0000 |
0.0313 |
4 |
0.0000 |
1.0000 |
0.0000 |
5 |
0.0000 |
1.0000 |
0.0000 |
6 |
0.0000 |
1.0000 |
0.0000 |
7 |
0.0000 |
1.0000 |
0.0000 |
8 |
0.0000 |
1.0000 |
0.0000 |
9 |
0.0000 |
1.0000 |
0.0000 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
11 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.4386 |
0.4386 |
1.0000 |
1 |
0.4561 |
0.8947 |
0.5614 |
2 |
0.1053 |
1.0000 |
0.1053 |
3 |
0.0000 |
1.0000 |
0.0000 |
4 |
0.0000 |
1.0000 |
0.0000 |
5 |
0.0000 |
1.0000 |
0.0000 |
6 |
0.0000 |
1.0000 |
0.0000 |
7 |
0.0000 |
1.0000 |
0.0000 |
8 |
0.0000 |
1.0000 |
0.0000 |
9 |
0.0000 |
1.0000 |
0.0000 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
| | | |
12 of a suit |
  |
  |
exactly |
at most |
at least |
  |
  |
  |
  |
0 |
0.6667 |
0.6667 |
1.0000 |
1 |
0.3333 |
1.0000 |
0.3333 |
2 |
0.0000 |
1.0000 |
0.0000 |
3 |
0.0000 |
1.0000 |
0.0000 |
4 |
0.0000 |
1.0000 |
0.0000 |
5 |
0.0000 |
1.0000 |
0.0000 |
6 |
0.0000 |
1.0000 |
0.0000 |
7 |
0.0000 |
1.0000 |
0.0000 |
8 |
0.0000 |
1.0000 |
0.0000 |
9 |
0.0000 |
1.0000 |
0.0000 |
10 |
0.0000 |
1.0000 |
0.0000 |
11 |
0.0000 |
1.0000 |
0.0000 |
12 |
0.0000 |
1.0000 |
0.0000 |
PART II
  |   |   |   |   |
  |
If you have 12 of a suit |
1 |
0 |
0 |
0.3333 |
  |
If you have 11 of a suit |
2 |
0 |
0 |
0.1053 |
1 |
1 |
0 |
0.2281 |
  |
If you have 10 of a suit |
3 |
0 |
0 |
0.0313 |
2 |
1 |
0 |
0.1110 |
1 |
1 |
1 |
0.2404 |
  |
If you have 9 of a suit |
4 |
0 |
0 |
0.0087 |
3 |
1 |
0 |
0.0452 |
2 |
2 |
0 |
0.0740 |
2 |
1 |
1 |
0.1603 |
  |
If you have 8 of a suit |
5 |
0 |
0 |
0.0022 |
4 |
1 |
0 |
0.0161 |
3 |
2 |
0 |
0.0387 |
3 |
1 |
1 |
0.0839 |
2 |
2 |
1 |
0.1374 |
  |
If you have 7 of a suit |
6 |
0 |
0 |
0.0005 |
5 |
1 |
0 |
0.0051 |
4 |
2 |
0 |
0.0171 |
4 |
1 |
1 |
0.0370 |
3 |
3 |
0 |
0.0251 |
3 |
2 |
1 |
0.0889 |
2 |
2 |
2 |
0.1455 |
  |
If you have 6 of a suit |
7 |
0 |
0 |
0.0001 |
6 |
1 |
0 |
0.0015 |
5 |
2 |
0 |
0.0065 |
5 |
1 |
1 |
0.0141 |
4 |
3 |
0 |
0.0133 |
4 |
2 |
1 |
0.0471 |
3 |
3 |
1 |
0.0691 |
3 |
2 |
2 |
0.1131 |
  |
If you have 5 of a suit |
8 |
0 |
0 |
0.0000 |
7 |
1 |
0 |
0.0004 |
6 |
2 |
0 |
0.0022 |
6 |
1 |
1 |
0.0047 |
5 |
3 |
0 |
0.0060 |
5 |
2 |
1 |
0.0212 |
4 |
4 |
0 |
0.0083 |
4 |
3 |
1 |
0.0432 |
4 |
2 |
2 |
0.0707 |
3 |
3 |
2 |
0.1037 |
  |
If you have 4 of a suit |
9 |
0 |
0 |
0.0000 |
8 |
1 |
0 |
0.0001 |
7 |
2 |
0 |
0.0006 |
7 |
1 |
1 |
0.0014 |
6 |
3 |
0 |
0.0023 |
6 |
2 |
1 |
0.0082 |
5 |
4 |
0 |
0.0043 |
5 |
3 |
1 |
0.0226 |
5 |
2 |
2 |
0.0369 |
4 |
4 |
1 |
0.0314 |
4 |
3 |
2 |
0.0753 |
3 |
3 |
3 |
0.1104 |
  |
If you have 3 of a suit |
10 |
0 |
0 |
0.0000 |
9 |
1 |
0 |
0.0000 |
8 |
2 |
0 |
0.0002 |
8 |
1 |
1 |
0.0003 |
7 |
3 |
0 |
0.0008 |
7 |
2 |
1 |
0.0027 |
6 |
4 |
0 |
0.0019 |
6 |
3 |
1 |
0.0100 |
6 |
2 |
2 |
0.0164 |
5 |
5 |
0 |
0.0026 |
5 |
4 |
1 |
0.0188 |
5 |
3 |
2 |
0.0452 |
4 |
4 |
2 |
0.0627 |
4 |
3 |
3 |
0.0920 |
  |
If you have 2 of a suit |
11 |
0 |
0 |
0.0000 |
10 |
1 |
0 |
0.0000 |
9 |
2 |
0 |
0.0000 |
9 |
1 |
1 |
0.0001 |
8 |
3 |
0 |
0.0002 |
8 |
2 |
1 |
0.0008 |
7 |
4 |
0 |
0.0007 |
7 |
3 |
1 |
0.0038 |
7 |
2 |
2 |
0.0062 |
6 |
5 |
0 |
0.0013 |
6 |
4 |
1 |
0.0095 |
6 |
3 |
2 |
0.0228 |
5 |
5 |
1 |
0.0128 |
5 |
4 |
2 |
0.0428 |
5 |
3 |
3 |
0.0628 |
4 |
4 |
3 |
0.0872 |
  |
If you have 1 of a suit |
12 |
0 |
0 |
0.0000 |
11 |
1 |
0 |
0.0000 |
10 |
2 |
0 |
0.0000 |
10 |
1 |
1 |
0.0000 |
9 |
3 |
0 |
0.0001 |
9 |
2 |
1 |
0.0002 |
8 |
4 |
0 |
0.0002 |
8 |
3 |
1 |
0.0012 |
8 |
2 |
2 |
0.0020 |
7 |
5 |
0 |
0.0006 |
7 |
4 |
1 |
0.0041 |
7 |
3 |
2 |
0.0098 |
6 |
6 |
0 |
0.0008 |
6 |
5 |
1 |
0.0073 |
6 |
4 |
2 |
0.0245 |
6 |
3 |
3 |
0.0359 |
5 |
5 |
2 |
0.0330 |
5 |
4 |
3 |
0.0673 |
4 |
4 |
4 |
0.0935 |
  |
If you have 0 of a suit |
13 |
0 |
0 |
0.0000 |
12 |
1 |
0 |
0.0000 |
11 |
2 |
0 |
0.0000 |
11 |
1 |
1 |
0.0000 |
10 |
3 |
0 |
0.0000 |
10 |
2 |
1 |
0.0000 |
9 |
4 |
0 |
0.0001 |
9 |
3 |
1 |
0.0003 |
9 |
2 |
2 |
0.0005 |
8 |
5 |
0 |
0.0002 |
8 |
4 |
1 |
0.0015 |
8 |
3 |
2 |
0.0035 |
7 |
6 |
0 |
0.0004 |
7 |
5 |
1 |
0.0035 |
7 |
4 |
2 |
0.0118 |
7 |
3 |
3 |
0.0173 |
6 |
6 |
1 |
0.0047 |
6 |
5 |
2 |
0.0212 |
6 |
4 |
3 |
0.0432 |
5 |
5 |
3 |
0.0583 |
5 |
4 |
4 |
0.0810 |
|