| © Chiel Verwoest |
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| CUMULATIVE FREQUENCY per 1.000.000 | ||||||||||
| of occurrence of card hands with a given distribution | ||||||||||
| distribution | from 0 through N hcp's | |||||||||
| N= | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 4,3,3,3 | 470.42 | 1388.86 | 2969.72 | 5708.47 | 9957.21 | 15530.59 | 22465.20 | 30830.35 | 40064.19 | 49668.25 |
| 4,4,3,2 | 907.24 | 2732.51 | 5879.04 | 11390.87 | 19969.30 | 31310.78 | 45475.95 | 62635.72 | 81609.49 | 101398.55 |
| 4,4,4,1 | 113.40 | 352.81 | 768.63 | 1508.46 | 2669.64 | 4225.44 | 6184.53 | 8575.04 | 11232.70 | 14017.93 |
| 5,3,3,2 | 604.83 | 1879.28 | 4064.05 | 7977.25 | 14060.64 | 22193.21 | 32387.09 | 44811.77 | 58528.05 | 72904.77 |
| 5,4,2,2 | 388.82 | 1231.25 | 2681.21 | 5300.71 | 9394.59 | 14903.33 | 21843.31 | 30331.08 | 39730.82 | 49600.94 |
| 5,4,3,1 | 453.62 | 1454.46 | 3187.33 | 6332.06 | 11272.41 | 17956.89 | 26414.41 | 36789.90 | 48323.30 | 60458.76 |
| 5,4,4,0 | 37.80 | 126.01 | 281.41 | 567.62 | 1024.24 | 1652.27 | 2457.59 | 3454.89 | 4575.82 | 5763.24 |
| 5,5,2,1 | 97.20 | 326.71 | 726.33 | 1468.86 | 2647.31 | 4264.08 | 6334.51 | 8893.46 | 11753.92 | 14776.80 |
| 5,5,3,0 | 25.20 | 86.40 | 194.41 | 396.32 | 720.03 | 1168.55 | 1747.67 | 2467.77 | 3279.12 | 4140.73 |
| 6,3,2,2 | 172.81 | 592.48 | 1300.68 | 2661.11 | 4768.40 | 7678.05 | 11379.89 | 15968.67 | 21016.75 | 26385.06 |
| 6,3,3,1 | 100.80 | 349.61 | 772.95 | 1587.84 | 2859.26 | 4622.31 | 6877.16 | 9679.32 | 12777.72 | 16076.54 |
| 6,4,2,1 | 129.61 | 457.22 | 1019.44 | 2105.92 | 3816.73 | 6198.87 | 9267.11 | 13088.85 | 17338.50 | 21864.92 |
| 6,4,3,0 | 33.60 | 120.81 | 272.81 | 567.62 | 1037.56 | 1697.58 | 2555.42 | 3629.90 | 4835.80 | 6125.37 |
| 6,5,1,1 | 16.20 | 60.30 | 137.91 | 290.01 | 536.02 | 882.87 | 1339.52 | 1912.57 | 2560.17 | 3252.01 |
| 6,5,2,0 | 14.40 | 54.00 | 124.21 | 262.01 | 486.02 | 803.23 | 1222.43 | 1750.10 | 2348.92 | 2990.37 |
| 6,6,1,0 | 1.20 | 4.93 | 11.77 | 25.60 | 48.94 | 82.54 | 128.54 | 187.11 | 254.94 | 328.15 |
| 7,2,2,2 | 10.58 | 43.20 | 96.32 | 212.65 | 389.72 | 646.41 | 983.63 | 1410.78 | 1876.32 | 2382.73 |
| 7,3,2,1 | 37.03 | 152.68 | 343.31 | 759.75 | 1400.63 | 2331.63 | 3562.52 | 5125.04 | 6840.37 | 8706.44 |
| 7,3,3,0 | 4.80 | 20.12 | 45.91 | 102.08 | 190.08 | 318.61 | 490.34 | 709.44 | 953.03 | 1218.57 |
| 7,4,1,1 | 6.94 | 29.32 | 67.20 | 149.55 | 279.52 | 468.92 | 723.20 | 1047.22 | 1408.50 | 1801.38 |
| 7,4,2,0 | 6.17 | 26.23 | 60.52 | 134.97 | 253.32 | 426.35 | 659.60 | 957.70 | 1291.88 | 1656.00 |
| 7,5,1,0 | 1.54 | 6.86 | 16.34 | 36.83 | 70.80 | 120.64 | 189.69 | 278.42 | 380.28 | 491.36 |
| 7,6,0,0 | 0.06 | 0.28 | 0.70 | 1.60 | 3.20 | 5.58 | 9.02 | 13.50 | 18.82 | 24.68 |
| 8,2,2,1 | 1.98 | 11.13 | 25.36 | 64.25 | 121.98 | 211.42 | 338.52 | 502.98 | 681.19 | 880.49 |
| 8,3,1,1 | 1.16 | 6.54 | 15.06 | 38.14 | 72.95 | 126.85 | 203.93 | 303.99 | 413.42 | 535.78 |
| 8,3,2,0 | 1.03 | 5.84 | 13.56 | 34.35 | 66.04 | 115.18 | 185.75 | 277.66 | 378.91 | 492.26 |
| 8,4,1,0 | 0.39 | 2.23 | 5.30 | 13.43 | 26.26 | 46.10 | 75.06 | 112.99 | 155.59 | 203.29 |
| 8,5,0,0 | 0.02 | 0.13 | 0.32 | 0.81 | 1.65 | 2.94 | 4.88 | 7.44 | 10.44 | 13.80 |
| 9,2,1,1 | 0.06 | 0.58 | 1.34 | 4.35 | 8.63 | 15.80 | 27.76 | 43.34 | 60.14 | 79.39 |
| 9,2,2,0 | 0.02 | 0.26 | 0.60 | 1.95 | 3.90 | 7.16 | 12.61 | 19.75 | 27.52 | 36.44 |
| 9,3,1,0 | 0.03 | 0.30 | 0.71 | 2.31 | 4.66 | 8.57 | 15.14 | 23.81 | 33.34 | 44.30 |
| 9,4,0,0 | 0.0024 | 0.0254 | 0.0627 | 0.2007 | 0.4162 | 0.7727 | 1.3797 | 2.1950 | 3.1180 | 4.1861 |
| 10,1,1,1 | 0.0000 | 0.0046 | 0.0107 | 0.0599 | 0.1247 | 0.2436 | 0.5163 | 0.8631 | 1.2364 | 1.6685 |
| 10,2,1,0 | 0.0000 | 0.0122 | 0.0289 | 0.1606 | 0.3374 | 0.6609 | 1.4016 | 2.3536 | 3.3877 | 4.5898 |
| 10,3,0,0 | 0.0000 | 0.0016 | 0.0039 | 0.0211 | 0.0453 | 0.0892 | 0.1894 | 0.3212 | 0.4671 | 0.6385 |
| 11,1,1,0 | 0.0000 | 0.0000 | 0.0000 | 0.0015 | 0.0034 | 0.0072 | 0.0239 | 0.0441 | 0.0661 | 0.0912 |
| 11,2,0,0 | 0.0000 | 0.0000 | 0.0000 | 0.0007 | 0.0015 | 0.0032 | 0.0107 | 0.0200 | 0.0301 | 0.0418 |
| 12,1,0,0 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0002 | 0.0004 | 0.0006 | 0.0008 |
| 13,0,0,0 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
| TOTAL | 3638.96 | 11523.38 | 25084.57 | 49708.21 | 88162.59 | 140024.53 | 205565.49 | 285846.36 | 374768.25 | 468330.53 |
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