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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 746170 21.59307 21.5512 4-3-3-3 365088 10.56511 10.5361 4-4-4-1 103929 3.00755 2.9932 5-3-3-2 535703 15.50246 15.5168 5-4-3-1 445657 12.89666 12.9307 5-4-2-2 365866 10.58763 10.5797 5-5-2-1 109492 3.16854 3.1739 5-4-4-0 42862 1.24036 1.3433 5-5-3-0 30723 0.88908 0.8952 6-3-2-2 195556 5.65910 5.6425 6-4-2-1 162372 4.69881 4.7021 6-3-3-1 119128 3.44739 3.4482 6-4-3-0 45663 1.32142 1.3262 6-5-1-1 24242 0.70153 0.7053 6-5-2-0 22468 0.65019 0.6511 6-6-1-0 2437 0.07052 0.0723 7-3-2-1 64404 1.86376 1.8808 7-2-2-2 17726 0.51296 0.5129 7-4-1-1 13348 0.38627 0.3918 7-4-2-0 12446 0.36017 0.3617 7-3-3-0 9132 0.26427 0.2652 7-5-1-0 3760 0.10881 0.1085 7-6-0-0 156 0.00451 0.0056 8-2-2-1 6632 0.19192 0.1924 8-3-1-1 4005 0.11590 0.1176 8-3-2-0 3589 0.10386 0.1085 8-4-1-0 1553 0.04494 0.0452 8-5-0-0 117 0.00339 0.0031 9-2-1-1 603 0.01745 0.0178 9-3-1-0 348 0.01007 0.0100 9-2-2-2 328 0.00949 0.0082 9-4-0-0 37 0.00107 0.0010 10-2-1-0 39 0.00113 0.0011 10-1-1-1 10 0.00029 0.0004 10-3-0-0 7 0.00020 0.00015 11-1-1-0 2 0.00006 0.00002 11-2-0-0 2 0.00006 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 12358 0.35762 0.3639
1 26981 0.78079 0.7884
2 46580 1.34796 1.3561
3 84479 2.44470 2.4624
4 132784 3.84257 3.8454
5 178843 5.17545 5.1862
6 226896 6.56604 6.5541
7 276974 8.01522 8.0281
8 307342 8.89403 8.8922
9 324089 9.37866 9.3562
10 325587 9.42201 9.4051
11 310235 8.97775 8.9447
12 277696 8.03612 8.0269
13 239698 6.93651 6.9143
14 197318 5.71009 5.6933
15 152637 4.41709 4.4237
16 113618 3.28794 3.3109
17 81400 2.35560 2.3617
18 55093 1.59431 1.6051
19 35525 1.02804 1.0362
20 22227 0.64322 0.6435
21 12939 0.37444 0.3779
22 7142 0.20668 0.2100
23 3727 0.10785 0.1119
24 1861 0.05385 0.0559
25 926 0.02680 0.0264
26 382 0.01105 0.0117
27 158 0.00457 0.0049
28 66 0.00191 0.0019
29 25 0.00072 0.0007
30 10 0.00029 0.0002
31-37 4 0.00012 0.0001
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