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Shuffle Project How do we compare with Nature? |
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 the long period of time. If you have any questions or comments about this or any playBridge page, please [Click Here]
| Frequency of Distribution Patterns |
Pattern Total Hands Our Perc. ACBL Perc. |
4-4-3-2 90674759 21.60324 21.5512 4-3-3-3 44322047 10.55972 10.5361 4-4-4-1 12583259 2.99796 2.9932 5-3-3-2 65190978 15.53173 15.5168 5-4-3-1 54236830 12.92191 12.9307 5-4-2-2 44358905 10.56850 10.5797 5-5-2-1 13309506 3.17099 3.1739 5-4-4-0 5222416 1.24424 1.3433 5-5-3-0 3745828 0.89244 0.8952 6-3-2-2 23658563 5.63665 5.6425 6-4-2-1 19676827 4.68800 4.7021 6-3-3-1 14431646 3.43834 3.4482 6-4-3-0 5542643 1.32053 1.3262 6-5-1-1 2938521 0.70010 0.7053 6-5-2-0 2725173 0.64927 0.6511 6-6-1-0 297013 0.07076 0.0723 7-3-2-1 7856239 1.87175 1.8808 7-2-2-2 2142991 0.51057 0.5129 7-4-1-1 1627577 0.38777 0.3918 7-4-2-0 1498269 0.35696 0.3617 7-3-3-0 1105294 0.26334 0.2652 7-5-1-0 448893 0.10695 0.1085 7-6-0-0 21138 0.00504 0.0056 8-2-2-1 810530 0.19311 0.1924 8-3-1-1 486480 0.11590 0.1176 8-3-2-0 452850 0.10789 0.1085 8-4-1-0 188916 0.04501 0.0452 8-5-0-0 13233 0.00315 0.0031 9-2-1-1 72324 0.01723 0.0178 9-3-1-0 42253 0.01007 0.0100 9-2-2-2 34652 0.00826 0.0082 9-4-0-0 3606 0.00086 0.0010 10-2-1-0 4664 0.00111 0.0011 10-1-1-1 1756 0.00042 0.0004 10-3-0-0 830 0.00020 0.00015 11-1-1-0 162 0.00004 0.00002 11-2-0-0 29 0.00001 0.00001 12-1-0-0 0 0.00000 0.0000003 13-0-0-0 0 0.00000 0.(9)6 |
| Frequency of High Card Content |
Points Total Hands Our Perc. ACBL Perc. |
0 1491042 0.35524 0.3639
1 3276243 0.78056 0.7884
2 5693763 1.35654 1.3561
3 10255733 2.44343 2.4624
4 16098619 3.83549 3.8454
5 21714647 5.17351 5.1862
6 27543218 6.56217 6.5541
7 33693916 8.02757 8.0281
8 37358304 8.90061 8.8922
9 39336080 9.37181 9.3562
10 39556181 9.42425 9.4051
11 37647300 8.96946 8.9447
12 33784518 8.04915 8.0269
13 29061141 6.92381 6.9143
14 23907166 5.69588 5.6933
15 18540346 4.41723 4.4237
16 13869570 3.30442 3.3109
17 9878595 2.35357 2.3617
18 6717599 1.60047 1.6051
19 4304997 1.02566 1.0362
20 2694332 0.64192 0.6435
21 1565180 0.37290 0.3779
22 866849 0.20653 0.2100
23 459526 0.10948 0.1119
24 224314 0.05344 0.0559
25 111173 0.02649 0.0264
26 46609 0.01110 0.0117
27 20050 0.00478 0.0049
28 7526 0.00179 0.0019
29 2249 0.00054 0.0007
30 657 0.00016 0.0002
31-37 157 0.00004 0.0001
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