Bridge Generator Shuffle Project
Some may wonder how good is the shuffling ability of our generator. To get some kind of an answer that is easily understood, we have started this Project.
Every so often we fire up our generator to deal a series of hands. We then sum up the results and present the statistics in the tables below. We count how many times we dealt each hand pattern and what was each hand's High Card content. We present the actual counts and what percentage of the total number of hands they are. We then compare the percentages to those from the statistical tables published in the ACBL Encyclopedia of Bridge.
Please note that this is an ongoing project. We keep dealing all the time, so come again to see how the numbers change (and compare) over longer period of time. If you have any questions or comments about this page and the Shuffle Project, please email us at feedback11@playbridge.com or [Click Here]
View the actual hands as dealt by the hand generator, by
clicking on the blue labels in tables below. Only the most extreme hands are saved.
Frequency of Distribution PatternsTotal Hands generated: 129,268,286,400Since: 07-06-2011 | |||
| Pattern | Total Hands | Our Percentage | ACBL Percentage |
|---|---|---|---|
| 4-4-3-2 | 27,858,699,963 | 21.5511 | 21.5512 |
| 4-3-3-3 | 13,620,027,733 | 10.5362 | 10.5361 |
| 4-4-4-1 | 3,869,319,643 | 2.9932 | 2.9932 |
| 5-3-3-2 | 20,058,214,078 | 15.5167 | 15.5168 |
| 5-4-3-1 | 16,715,408,693 | 12.9308 | 12.9307 |
| 5-4-2-2 | 13,676,213,844 | 10.5797 | 10.5797 |
| 5-5-2-1 | 4,102,864,883 | 3.1739 | 3.1739 |
| 5-4-4-0 | 1,607,210,748 | 1.2433 | 1.2433 |
| 5-5-3-0 | 1,157,195,960 | 0.8952 | 0.8952 |
| 6-3-2-2 | 7,293,905,272 | 5.6425 | 5.6425 |
| 6-4-2-1 | 6,078,382,336 | 4.7021 | 4.7021 |
| 6-3-3-1 | 4,457,468,154 | 3.4482 | 3.4482 |
| 6-4-3-0 | 1,714,391,452 | 1.3262 | 1.3262 |
| 6-5-1-1 | 911,727,520 | 0.7053 | 0.7053 |
| 6-5-2-0 | 841,615,672 | 0.6511 | 0.6511 |
| 6-6-1-0 | 93,490,396 | 0.0723 | 0.0723 |
| 7-3-2-1 | 2,431,226,046 | 1.8808 | 1.8808 |
| 7-2-2-2 | 663,061,272 | 0.5129 | 0.5129 |
| 7-4-1-1 | 506,530,115 | 0.3918 | 0.3918 |
| 7-4-2-0 | 467,579,142 | 0.3617 | 0.3617 |
| 7-3-3-0 | 342,834,962 | 0.2652 | 0.2652 |
| 7-5-1-0 | 140,269,849 | 0.1085 | 0.1085 |
| 7-6-0-0 | 7,192,918 | 0.0056 | 0.0056 |
| 8-2-2-1 | 248,664,063 | 0.1924 | 0.1924 |
| 8-3-1-1 | 151,965,921 | 0.1176 | 0.1176 |
| 8-3-2-0 | 140,262,429 | 0.1085 | 0.1085 |
| 8-4-1-0 | 58,445,589 | 0.0452 | 0.0452 |
| 8-5-0-0 | 4,047,228 | 0.0031 | 0.0031 |
| 9-2-1-1 | 23,024,721 | 0.0178 | 0.0178 |
| 9-3-1-0 | 12,992,174 | 0.0101 | 0.0100 |
| 9-2-2-0 | 10,626,718 | 0.0082 | 0.0082 |
| 9-4-0-0 | 1,249,333 | 0.0010 | 0.0010 |
| 10-2-1-0 | 1,418,525 | 0.0011 | 0.0011 |
| 10-1-1-1 | 512,272 | 0.0004 | 0.0004 |
| 10-3-0-0 | 199,404 | 0.00015 | 0.00015 |
| 11-1-1-0 | 31,932 | 0.00002 | 0.00002 |
| 11-2-0-0 | 15,042 | 0.00001 | 0.00001 |
| 12-1-0-0 | 398 | 0.0000003 | 0.0000003 |
| 13-0-0-0 | 0 | 0.0000000000 | 0.0000000006 |
Frequency of High Card ContentTotal Hands generated: 129,268,286,400Since: 07-06-2011 | |||
| HC Points | Total Hands | Our Percentage | ACBL Percentage |
|---|---|---|---|
| 0 Points | 470,411,334 | 0.3639 | 0.3639 |
| 1 Points | 1,019,209,472 | 0.7884 | 0.7884 |
| 2 Points | 1,752,968,824 | 1.3561 | 1.3561 |
| 3 Points | 3,183,007,989 | 2.4623 | 2.4624 |
| 4 Points | 4,970,864,104 | 3.8454 | 3.8454 |
| 5 Points | 6,704,117,669 | 5.1862 | 5.1862 |
| 6 Points | 8,472,337,512 | 6.5541 | 6.5541 |
| 7 Points | 10,377,996,743 | 8.0283 | 8.0281 |
| 8 Points | 11,494,903,471 | 8.8923 | 8.8922 |
| 9 Points | 12,094,563,857 | 9.3562 | 9.3562 |
| 10 Points | 12,157,860,296 | 9.4051 | 9.4051 |
| 11 Points | 11,562,625,398 | 8.9447 | 8.9447 |
| 12 Points | 10,376,089,584 | 8.0268 | 8.0269 |
| 13 Points | 8,938,048,341 | 6.9143 | 6.9143 |
| 14 Points | 7,359,790,609 | 5.6934 | 5.6933 |
| 15 Points | 5,718,328,247 | 4.4236 | 4.4237 |
| 16 Points | 4,279,946,781 | 3.3109 | 3.3109 |
| 17 Points | 3,052,852,421 | 2.3616 | 2.3617 |
| 18 Points | 2,074,801,815 | 1.6050 | 1.6051 |
| 19 Points | 1,339,479,870 | 1.0362 | 1.0362 |
| 20 Points | 831,896,111 | 0.6435 | 0.6435 |
| 21 Points | 488,490,260 | 0.3779 | 0.3779 |
| 22 Points | 271,514,104 | 0.2100 | 0.2100 |
| 23 Points | 144,667,859 | 0.1119 | 0.1119 |
| 24 Points | 72,275,696 | 0.0559 | 0.0559 |
| 25 Points | 34,159,754 | 0.0264 | 0.0264 |
| 26 Points | 15,077,002 | 0.0117 | 0.0117 |
| 27 Points | 6,348,436 | 0.0049 | 0.0049 |
| 28 Points | 2,399,308 | 0.0019 | 0.0019 |
| 29 Points | 861,135 | 0.00067 | 0.00067 |
| 30 Points | 285,919 | 0.00022 | 0.00022 |
| 31 Points | 78,789 | 0.00006 | 0.00006 |
| 32 Points | 22,129 | 0.00002 | 0.00002 |
| 33 Points | 4,495 | 0.000003 | 0.000004 |
| 34 Points | 923 | 0.0000007 | 0.0000007 |
| 35 Points | 130 | 0.0000001 | 0.0000001 |
| 36 Points | 12 | 0.000000009 | 0.000000009 |
| 37 Points | 1 | 0.0000000008 | 0.0000000006 |