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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 186543205 21.59850 21.5512 4-3-3-3 91226313 10.56244 10.5361 4-4-4-1 25891945 2.99784 2.9932 5-3-3-2 134180367 15.53578 15.5168 5-4-3-1 111586051 12.91975 12.9307 5-4-2-2 91307256 10.57181 10.5797 5-5-2-1 27365472 3.16845 3.1739 5-4-4-0 10750759 1.24475 1.3433 5-5-3-0 7704751 0.89208 0.8952 6-3-2-2 48670229 5.63518 5.6425 6-4-2-1 40497629 4.68893 4.7021 6-3-3-1 29704821 3.43931 3.4482 6-4-3-0 11403115 1.32028 1.3262 6-5-1-1 6047155 0.70016 0.7053 6-5-2-0 5608589 0.64938 0.6511 6-6-1-0 611036 0.07075 0.0723 7-3-2-1 16148304 1.86970 1.8808 7-2-2-2 4410106 0.51061 0.5129 7-4-1-1 3349478 0.38781 0.3918 7-4-2-0 3087483 0.35748 0.3617 7-3-3-0 2272937 0.26317 0.2652 7-5-1-0 924670 0.10706 0.1085 7-6-0-0 44397 0.00514 0.0056 8-2-2-1 1668390 0.19317 0.1924 8-3-1-1 1001182 0.11592 0.1176 8-3-2-0 932412 0.10796 0.1085 8-4-1-0 390524 0.04522 0.0452 8-5-0-0 26828 0.00311 0.0031 9-2-1-1 148995 0.01725 0.0178 9-3-1-0 87334 0.01011 0.0100 9-2-2-2 71078 0.00823 0.0082 9-4-0-0 7296 0.00084 0.0010 10-2-1-0 9447 0.00109 0.0011 10-1-1-1 3773 0.00044 0.0004 10-3-0-0 1892 0.00022 0.00015 11-1-1-0 329 0.00004 0.00002 11-2-0-0 52 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 3076482 0.35620 0.3639
1 6745175 0.78098 0.7884
2 11713874 1.35627 1.3561
3 21114035 2.44464 2.4624
4 33126816 3.83552 3.8454
5 44656307 5.17043 5.1862
6 56672072 6.56165 6.5541
7 69302279 8.02401 8.0281
8 76895205 8.90314 8.8922
9 80916315 9.36872 9.3562
10 81447074 9.43017 9.4051
11 77479235 8.97076 8.9447
12 69495987 8.04644 8.0269
13 59824609 6.92666 6.9143
14 49193331 5.69574 5.6933
15 38132956 4.41514 4.4237
16 28535620 3.30393 3.3109
17 20348559 2.35601 2.3617
18 13811481 1.59913 1.6051
19 8861233 1.02598 1.0362
20 5538009 0.64121 0.6435
21 3220962 0.37293 0.3779
22 1781054 0.20622 0.2100
23 945505 0.10947 0.1119
24 461703 0.05346 0.0559
25 229369 0.02656 0.0264
26 97315 0.01127 0.0117
27 41266 0.00478 0.0049
28 15653 0.00181 0.0019
29 4623 0.00054 0.0007
30 1430 0.00017 0.0002
31-37 413 0.00005 0.0001
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