Study 8J19 Main
|  Kaplan-Rubens Evaluation Stats
|
by Richard Pavlicek |
In the early 1980s Edgar Kaplan devised a hand-evaluation method with various tweaks, attempting to translate expert judgment into a rigid formula. Jeff Rubens provided the mathematical expertise and oversight to fine-tune the project. While too complicated for practical use, it is often implemented by computer, and even to this day is highly regarded as the definitive gauge to evaluate a bridge hand. The algorithm is outlined below in 26 steps, applied to each suit.
Step | Calculate Separately for Each Suit | Add
|
---|
1 | Ace | 4
|
2 | King | 3
|
3 | Queen | 2
|
4 | Jack | 1
|
5 | Ten | 0.5
|
6 | 2-6 cards with ten accompanied by jack or two (or more) higher honors | 0.5
|
7 | 2-6 cards with nine accompanied by eight, ten, or exactly two higher honors | 0.5
|
8 | 4-6 cards with nine (no eight or ten) and exactly three higher honors | 0.5
|
9 | 7+ cards missing queen or jack (or both) | 1
|
10 | 8+ cards missing queen | 1
|
11 | 9+ cards missing queen and jack | 1
|
12 | Multiply current total by suit length, divide by 10, then continue
|
13 | Ace | 3
|
14 | King guarded | 2
|
15 | King singleton | 0.5
|
16 | Queen (3+ cards) with ace or king (or both) | 1
|
17 | Queen (3+ cards) with no higher honor | 0.75
|
18 | Queen doubleton with ace or king | 0.5
|
19 | Queen doubleton with no higher honor | 0.25
|
20 | Jack with exactly two higher honors | 0.5
|
21 | Jack with exactly one higher honor | 0.25
|
22 | Ten with exactly two higher honors | 0.25
|
23 | Ten and nine with exactly one higher honor | 0.25
|
24 | Void | 3
|
25 | Singleton | 2
|
26 | Doubleton | 1 |
Finally, add all four suit totals and subtract 1, then if 4-3-3-3 add 0.5 |
A few rules, particularly Step 8, are ambiguously explained by The Bridge World, so I have implemented what I think was Edgar Kaplans intent to which I have first-hand experience from the old days. Playing on teams with Edgar, at dinner break he would sometimes pull out his trusty calculator and punch in a hand that I overbid and went set, carefully noting that my 13-point opener was really worth only 11.xx. When I asked if they opened at his table he would dryly admit, Yes
Thats why were ahead; they cant bid either.
To evaluate a specific hand
Bridge Hand Evaluator
Curiously, Kaplan-Rubens points can be negative, e.g., a 4-3-3-3 Yarborough evaluates to minus 0.5. While I dont particularly like this zero-basing all methods seems right for uniformity I wont disturb tradition by trying to change it. Maybe this was Edgars way of taming his partners. Norman Kay, after bidding 3 NT on his own: Got anything, pard? Edgar: No, its worse than that.
Kaplan-Rubens Evaluation Summary
|
---|
Hands evaluated | 635013559600
|
Unique values | 710
|
Minimum | -0.50
|
Maximum | 35.60
|
Mode | 11.20
|
Median | 10.65
|
Mean | 10.7725
|
Standard deviation | 4.7233 |
Every possible bridge hand was evaluated to compile the data. K-R points range from -0.5 to 35.6 in 0.05 increments, noncontiguous at the extremes. Impossible values are -0.45, -0.4, -0.25, 34.45, 34.75, 34.95, 35, 35.15, 35.25, 35.35, 35.45, 35.5, and 35.55. The maximum K-R value of 35.6 is amusing, as it represents the 7 NT claimer (pictured below) that everyone else counts as 37 (or 38 if four aces get a point). I wish I had noticed this years ago, as Id love to hear Edgars explanation for the reduction.
Study 8J19 Main |  | Top Kaplan-Rubens Evaluation Stats |
Specific Occurrences
The following table shows the number of hands and percent chance to the nearest 10,000th for each number of K-R points. Percents are shown in three ways: for the specific number, at least that number, and at most that number. To find the chance of an interior range, add the specific percents for each value in that range; or for exact precision, add the number of hands and divide by 6350135596.
Points | Hands | Specific | At Least | At Most
|
---|
-0.50 | 27500000 | 0.0043 | 100 | 0.0043
|
-0.35 | 44550000 | 0.0070 | 99.9957 | 0.0113
|
-0.30 | 25000000 | 0.0039 | 99.9887 | 0.0153
|
-0.20 | 80157000 | 0.0126 | 99.9847 | 0.0279
|
-0.15 | 40500000 | 0.0064 | 99.9721 | 0.0343
|
-0.10 | 35500000 | 0.0056 | 99.9657 | 0.0399
|
-0.05 | 66568260 | 0.0105 | 99.9601 | 0.0504
|
0 | 151035000 | 0.0238 | 99.9496 | 0.0741
|
0.05 | 57510000 | 0.0091 | 99.9259 | 0.0832
|
0.10 | 93998760 | 0.0148 | 99.9168 | 0.0980
|
0.15 | 118472100 | 0.0187 | 99.9020 | 0.1167
|
0.20 | 218630400 | 0.0344 | 99.8833 | 0.1511
|
0.25 | 102381060 | 0.0161 | 99.8489 | 0.1672
|
0.30 | 180055656 | 0.0284 | 99.8328 | 0.1956
|
0.35 | 166566072 | 0.0262 | 99.8044 | 0.2218
|
0.40 | 309586444 | 0.0488 | 99.7782 | 0.2705
|
0.45 | 102222204 | 0.0161 | 99.7295 | 0.2866
|
0.50 | 313617024 | 0.0494 | 99.7134 | 0.3360
|
0.55 | 205923468 | 0.0324 | 99.6640 | 0.3685
|
0.60 | 326354540 | 0.0514 | 99.6315 | 0.4199
|
0.65 | 209697840 | 0.0330 | 99.5801 | 0.4529
|
0.70 | 257600400 | 0.0406 | 99.5471 | 0.4934
|
0.75 | 206117816 | 0.0325 | 99.5066 | 0.5259
|
0.80 | 422432444 | 0.0665 | 99.4741 | 0.5924
|
0.85 | 168005500 | 0.0265 | 99.4076 | 0.6189
|
0.90 | 291628380 | 0.0459 | 99.3811 | 0.6648
|
0.95 | 212836860 | 0.0335 | 99.3352 | 0.6983
|
1 | 367898276 | 0.0579 | 99.3017 | 0.7563
|
1.05 | 238465348 | 0.0376 | 99.2437 | 0.7938
|
1.10 | 255477196 | 0.0402 | 99.2062 | 0.8340
|
1.15 | 271785252 | 0.0428 | 99.1660 | 0.8768
|
1.20 | 406681888 | 0.0640 | 99.1232 | 0.9409
|
1.25 | 247237640 | 0.0389 | 99.0591 | 0.9798
|
1.30 | 315165100 | 0.0496 | 99.0202 | 1.0295
|
1.35 | 383013168 | 0.0603 | 98.9705 | 1.0898
|
1.40 | 381182004 | 0.0600 | 98.9102 | 1.1498
|
1.45 | 314501796 | 0.0495 | 98.8502 | 1.1993
|
1.50 | 430154696 | 0.0677 | 98.8007 | 1.2671
|
1.55 | 475385904 | 0.0749 | 98.7329 | 1.3419
|
1.60 | 430396648 | 0.0678 | 98.6581 | 1.4097
|
1.65 | 450626592 | 0.0710 | 98.5903 | 1.4807
|
1.70 | 482009712 | 0.0759 | 98.5193 | 1.5566
|
1.75 | 608776920 | 0.0959 | 98.4434 | 1.6524
|
1.80 | 448383456 | 0.0706 | 98.3476 | 1.7230
|
1.85 | 544818552 | 0.0858 | 98.2770 | 1.8088
|
1.90 | 599814440 | 0.0945 | 98.1912 | 1.9033
|
1.95 | 644919392 | 0.1016 | 98.0967 | 2.0049
|
2 | 565317444 | 0.0890 | 97.9951 | 2.0939
|
2.05 | 514179996 | 0.0810 | 97.9061 | 2.1749
|
2.10 | 524616316 | 0.0826 | 97.8251 | 2.2575
|
2.15 | 638769096 | 0.1006 | 97.7425 | 2.3581
|
2.20 | 551351920 | 0.0868 | 97.6419 | 2.4449
|
2.25 | 497117840 | 0.0783 | 97.5551 | 2.5232
|
2.30 | 533676572 | 0.0840 | 97.4768 | 2.6072
|
2.35 | 544642988 | 0.0858 | 97.3928 | 2.6930
|
2.40 | 640553412 | 0.1009 | 97.3070 | 2.7939
|
2.45 | 356760156 | 0.0562 | 97.2061 | 2.8500
|
2.50 | 593658772 | 0.0935 | 97.1500 | 2.9435
|
2.55 | 643866000 | 0.1014 | 97.0565 | 3.0449
|
2.60 | 622118644 | 0.0980 | 96.9551 | 3.1429
|
2.65 | 418062132 | 0.0658 | 96.8571 | 3.2087
|
2.70 | 692391936 | 0.1090 | 96.7913 | 3.3178
|
2.75 | 665340792 | 0.1048 | 96.6822 | 3.4225
|
2.80 | 663120460 | 0.1044 | 96.5775 | 3.5270
|
2.85 | 553622960 | 0.0872 | 96.4730 | 3.6141
|
2.90 | 759471296 | 0.1196 | 96.3859 | 3.7337
|
2.95 | 699715224 | 0.1102 | 96.2663 | 3.8439
|
3 | 834916140 | 0.1315 | 96.1561 | 3.9754
|
3.05 | 692111656 | 0.1090 | 96.0246 | 4.0844
|
3.10 | 883344228 | 0.1391 | 95.9156 | 4.2235
|
3.15 | 792512256 | 0.1248 | 95.7765 | 4.3483
|
3.20 | 868136076 | 0.1367 | 95.6517 | 4.4850
|
3.25 | 823320776 | 0.1297 | 95.5150 | 4.6147
|
3.30 | 927225300 | 0.1460 | 95.3853 | 4.7607
|
3.35 | 786533656 | 0.1239 | 95.2393 | 4.8846
|
3.40 | 1077032652 | 0.1696 | 95.1154 | 5.0542
|
3.45 | 691405552 | 0.1089 | 94.9458 | 5.1630
|
3.50 | 1014691768 | 0.1598 | 94.8370 | 5.3228
|
3.55 | 878102768 | 0.1383 | 94.6772 | 5.4611
|
3.60 | 898885532 | 0.1416 | 94.5389 | 5.6027
|
3.65 | 773365128 | 0.1218 | 94.3973 | 5.7245
|
3.70 | 1027612516 | 0.1618 | 94.2755 | 5.8863
|
3.75 | 932550076 | 0.1469 | 94.1137 | 6.0331
|
3.80 | 958212012 | 0.1509 | 93.9669 | 6.1840
|
3.85 | 863001156 | 0.1359 | 93.8160 | 6.3199
|
3.90 | 1088969964 | 0.1715 | 93.6801 | 6.4914
|
3.95 | 971477376 | 0.1530 | 93.5086 | 6.6444
|
4 | 939874648 | 0.1480 | 93.3556 | 6.7924
|
4.05 | 1048086376 | 0.1650 | 93.2076 | 6.9575
|
4.10 | 1133632672 | 0.1785 | 93.0425 | 7.1360
|
4.15 | 985014268 | 0.1551 | 92.8640 | 7.2911
|
4.20 | 1147101696 | 0.1806 | 92.7089 | 7.4717
|
4.25 | 1223907680 | 0.1927 | 92.5283 | 7.6645
|
4.30 | 1063474372 | 0.1675 | 92.3355 | 7.8320
|
4.35 | 1100257372 | 0.1733 | 92.1680 | 8.0052
|
4.40 | 1325101856 | 0.2087 | 91.9948 | 8.2139
|
4.45 | 1166489356 | 0.1837 | 91.7861 | 8.3976
|
4.50 | 1244043824 | 0.1959 | 91.6024 | 8.5935
|
4.55 | 1297660752 | 0.2044 | 91.4065 | 8.7979
|
4.60 | 1404246796 | 0.2211 | 91.2021 | 9.0190
|
4.65 | 1208647960 | 0.1903 | 90.9810 | 9.2093
|
4.70 | 1391967484 | 0.2192 | 90.7907 | 9.4285
|
4.75 | 1466668588 | 0.2310 | 90.5715 | 9.6595
|
4.80 | 1480934752 | 0.2332 | 90.3405 | 9.8927
|
4.85 | 1349115268 | 0.2125 | 90.1073 | 10.1052
|
4.90 | 1439233128 | 0.2266 | 89.8948 | 10.3318
|
4.95 | 1450625408 | 0.2284 | 89.6682 | 10.5602 |
Points | Hands | Specific | At Least | At Most
|
---|
5 | 1686992724 | 0.2657 | 89.4398 | 10.8259
|
5.05 | 1315984764 | 0.2072 | 89.1741 | 11.0331
|
5.10 | 1567177960 | 0.2468 | 88.9669 | 11.2799
|
5.15 | 1419748832 | 0.2236 | 88.7201 | 11.5035
|
5.20 | 1606184440 | 0.2529 | 88.4965 | 11.7565
|
5.25 | 1568001308 | 0.2469 | 88.2435 | 12.0034
|
5.30 | 1612077244 | 0.2539 | 87.9966 | 12.2572
|
5.35 | 1344021988 | 0.2117 | 87.7428 | 12.4689
|
5.40 | 1878305016 | 0.2958 | 87.5311 | 12.7647
|
5.45 | 1467982652 | 0.2312 | 87.2353 | 12.9959
|
5.50 | 1565876040 | 0.2466 | 87.0041 | 13.2424
|
5.55 | 1564242700 | 0.2463 | 86.7576 | 13.4888
|
5.60 | 1821869360 | 0.2869 | 86.5112 | 13.7757
|
5.65 | 1569437620 | 0.2472 | 86.2243 | 14.0228
|
5.70 | 1652586976 | 0.2602 | 85.9772 | 14.2831
|
5.75 | 1797969948 | 0.2831 | 85.7169 | 14.5662
|
5.80 | 1748012868 | 0.2753 | 85.4338 | 14.8415
|
5.85 | 1647811424 | 0.2595 | 85.1585 | 15.1010
|
5.90 | 1729577204 | 0.2724 | 84.8990 | 15.3733
|
5.95 | 1818477460 | 0.2864 | 84.6267 | 15.6597
|
6 | 1858411556 | 0.2927 | 84.3403 | 15.9524
|
6.05 | 1876422248 | 0.2955 | 84.0476 | 16.2479
|
6.10 | 1787806644 | 0.2815 | 83.7521 | 16.5294
|
6.15 | 1946535096 | 0.3065 | 83.4706 | 16.8359
|
6.20 | 1865889128 | 0.2938 | 83.1641 | 17.1298
|
6.25 | 1840187664 | 0.2898 | 82.8702 | 17.4196
|
6.30 | 1925996972 | 0.3033 | 82.5804 | 17.7229
|
6.35 | 1957217768 | 0.3082 | 82.2771 | 18.0311
|
6.40 | 2069736764 | 0.3259 | 81.9689 | 18.3570
|
6.45 | 1739071828 | 0.2739 | 81.6430 | 18.6309
|
6.50 | 2013536164 | 0.3171 | 81.3691 | 18.9480
|
6.55 | 1820883196 | 0.2867 | 81.0520 | 19.2347
|
6.60 | 2103003348 | 0.3312 | 80.7653 | 19.5659
|
6.65 | 1783196120 | 0.2808 | 80.4341 | 19.8467
|
6.70 | 2047398108 | 0.3224 | 80.1533 | 20.1691
|
6.75 | 1951452756 | 0.3073 | 79.8309 | 20.4764
|
6.80 | 2288682412 | 0.3604 | 79.5236 | 20.8368
|
6.85 | 1807145376 | 0.2846 | 79.1632 | 21.1214
|
6.90 | 2016872576 | 0.3176 | 78.8786 | 21.4390
|
6.95 | 2046642600 | 0.3223 | 78.5610 | 21.7613
|
7 | 2329960180 | 0.3669 | 78.2387 | 22.1282
|
7.05 | 1882830932 | 0.2965 | 77.8718 | 22.4248
|
7.10 | 2071380020 | 0.3262 | 77.5752 | 22.7509
|
7.15 | 2218514372 | 0.3494 | 77.2491 | 23.1003
|
7.20 | 2049820532 | 0.3228 | 76.8997 | 23.4231
|
7.25 | 2030932712 | 0.3198 | 76.5769 | 23.7429
|
7.30 | 2187928712 | 0.3445 | 76.2571 | 24.0875
|
7.35 | 2167673204 | 0.3414 | 75.9125 | 24.4288
|
7.40 | 2155953248 | 0.3395 | 75.5712 | 24.7684
|
7.45 | 2165195852 | 0.3410 | 75.2316 | 25.1093
|
7.50 | 2196777968 | 0.3459 | 74.8907 | 25.4553
|
7.55 | 2278106460 | 0.3587 | 74.5447 | 25.8140
|
7.60 | 2343902648 | 0.3691 | 74.1860 | 26.1831
|
7.65 | 2035758772 | 0.3206 | 73.8169 | 26.5037
|
7.70 | 2379814608 | 0.3748 | 73.4963 | 26.8785
|
7.75 | 2302810312 | 0.3626 | 73.1215 | 27.2411
|
7.80 | 2290664488 | 0.3607 | 72.7589 | 27.6018
|
7.85 | 2166624528 | 0.3412 | 72.3982 | 27.9430
|
7.90 | 2383072632 | 0.3753 | 72.0570 | 28.3183
|
7.95 | 2124974344 | 0.3346 | 71.6817 | 28.6529
|
8 | 2682577420 | 0.4224 | 71.3471 | 29.0754
|
8.05 | 2042136768 | 0.3216 | 70.9246 | 29.3970
|
8.10 | 2382568824 | 0.3752 | 70.6030 | 29.7722
|
8.15 | 2411064768 | 0.3797 | 70.2278 | 30.1519
|
8.20 | 2451496996 | 0.3861 | 69.8481 | 30.5379
|
8.25 | 2216633496 | 0.3491 | 69.4621 | 30.8870
|
8.30 | 2619438016 | 0.4125 | 69.1130 | 31.2995
|
8.35 | 2300090004 | 0.3622 | 68.7005 | 31.6617
|
8.40 | 2425422120 | 0.3819 | 68.3383 | 32.0437
|
8.45 | 2464654800 | 0.3881 | 67.9563 | 32.4318
|
8.50 | 2527111992 | 0.3980 | 67.5682 | 32.8297
|
8.55 | 2295431636 | 0.3615 | 67.1703 | 33.1912
|
8.60 | 2525031524 | 0.3976 | 66.8088 | 33.5889
|
8.65 | 2584002364 | 0.4069 | 66.4111 | 33.9958
|
8.70 | 2282781888 | 0.3595 | 66.0042 | 34.3553
|
8.75 | 2547730392 | 0.4012 | 65.6447 | 34.7565
|
8.80 | 2553221356 | 0.4021 | 65.2435 | 35.1585
|
8.85 | 2344043768 | 0.3691 | 64.8415 | 35.5277
|
8.90 | 2436898564 | 0.3838 | 64.4723 | 35.9114
|
8.95 | 2554011236 | 0.4022 | 64.0886 | 36.3136
|
9 | 2506481684 | 0.3947 | 63.6864 | 36.7083
|
9.05 | 2437810572 | 0.3839 | 63.2917 | 37.0922
|
9.10 | 2574684544 | 0.4055 | 62.9078 | 37.4977
|
9.15 | 2362297456 | 0.3720 | 62.5023 | 37.8697
|
9.20 | 2701100396 | 0.4254 | 62.1303 | 38.2951
|
9.25 | 2416818776 | 0.3806 | 61.7049 | 38.6757
|
9.30 | 2583979656 | 0.4069 | 61.3243 | 39.0826
|
9.35 | 2414594372 | 0.3802 | 60.9174 | 39.4628
|
9.40 | 2753816332 | 0.4337 | 60.5372 | 39.8965
|
9.45 | 2426701604 | 0.3821 | 60.1035 | 40.2786
|
9.50 | 2726477332 | 0.4294 | 59.7214 | 40.7080
|
9.55 | 2372588516 | 0.3736 | 59.2920 | 41.0816
|
9.60 | 2786591492 | 0.4388 | 58.9184 | 41.5204
|
9.65 | 2363554764 | 0.3722 | 58.4796 | 41.8926
|
9.70 | 2671708236 | 0.4207 | 58.1074 | 42.3134
|
9.75 | 2540702292 | 0.4001 | 57.6866 | 42.7135
|
9.80 | 2723284500 | 0.4289 | 57.2865 | 43.1423
|
9.85 | 2703933976 | 0.4258 | 56.8577 | 43.5681
|
9.90 | 2606786156 | 0.4105 | 56.4319 | 43.9786
|
9.95 | 2574991352 | 0.4055 | 56.0214 | 44.3841 |
Points | Hands | Specific | At Least | At Most
|
---|
10 | 2739332272 | 0.4314 | 55.6159 | 44.8155
|
10.05 | 2655382052 | 0.4182 | 55.1845 | 45.2337
|
10.10 | 2574527372 | 0.4054 | 54.7663 | 45.6391
|
10.15 | 2660718204 | 0.4190 | 54.3609 | 46.0581
|
10.20 | 2557078988 | 0.4027 | 53.9419 | 46.4608
|
10.25 | 2634119140 | 0.4148 | 53.5392 | 46.8756
|
10.30 | 2502626164 | 0.3941 | 53.1244 | 47.2697
|
10.35 | 2497402568 | 0.3933 | 52.7303 | 47.6630
|
10.40 | 2440511308 | 0.3843 | 52.3370 | 48.0473
|
10.45 | 2564844620 | 0.4039 | 51.9527 | 48.4512
|
10.50 | 2669569216 | 0.4204 | 51.5488 | 48.8716
|
10.55 | 2411248764 | 0.3797 | 51.1284 | 49.2513
|
10.60 | 2815611772 | 0.4434 | 50.7487 | 49.6947
|
10.65 | 2323263460 | 0.3659 | 50.3053 | 50.0606
|
10.70 | 2641362160 | 0.4160 | 49.9394 | 50.4766
|
10.75 | 2511085348 | 0.3954 | 49.5234 | 50.8720
|
10.80 | 2707583128 | 0.4264 | 49.1280 | 51.2984
|
10.85 | 2316428844 | 0.3648 | 48.7016 | 51.6632
|
10.90 | 2791447780 | 0.4396 | 48.3368 | 52.1027
|
10.95 | 2253079136 | 0.3548 | 47.8973 | 52.4576
|
11 | 2806684160 | 0.4420 | 47.5424 | 52.8995
|
11.05 | 2404495332 | 0.3787 | 47.1005 | 53.2782
|
11.10 | 2506036592 | 0.3946 | 46.7218 | 53.6728
|
11.15 | 2402737672 | 0.3784 | 46.3272 | 54.0512
|
11.20 | 2817112924 | 0.4436 | 45.9488 | 54.4948
|
11.25 | 2532254852 | 0.3988 | 45.5052 | 54.8936
|
11.30 | 2446405572 | 0.3853 | 45.1064 | 55.2789
|
11.35 | 2716100988 | 0.4277 | 44.7211 | 55.7066
|
11.40 | 2558501064 | 0.4029 | 44.2934 | 56.1095
|
11.45 | 2453749768 | 0.3864 | 43.8905 | 56.4959
|
11.50 | 2653624632 | 0.4179 | 43.5041 | 56.9138
|
11.55 | 2548427584 | 0.4013 | 43.0862 | 57.3151
|
11.60 | 2398493732 | 0.3777 | 42.6849 | 57.6928
|
11.65 | 2594252316 | 0.4085 | 42.3072 | 58.1014
|
11.70 | 2423502268 | 0.3816 | 41.8986 | 58.4830
|
11.75 | 2413875856 | 0.3801 | 41.5170 | 58.8631
|
11.80 | 2499958800 | 0.3937 | 41.1369 | 59.2568
|
11.85 | 2369000924 | 0.3731 | 40.7432 | 59.6299
|
11.90 | 2448854700 | 0.3856 | 40.3701 | 60.0155
|
11.95 | 2317505612 | 0.3650 | 39.9845 | 60.3805
|
12 | 2589655388 | 0.4078 | 39.6195 | 60.7883
|
12.05 | 2287816220 | 0.3603 | 39.2117 | 61.1486
|
12.10 | 2557864068 | 0.4028 | 38.8514 | 61.5514
|
12.15 | 2197616516 | 0.3461 | 38.4486 | 61.8974
|
12.20 | 2521288984 | 0.3970 | 38.1026 | 62.2945
|
12.25 | 2226369104 | 0.3506 | 37.7055 | 62.6451
|
12.30 | 2479222640 | 0.3904 | 37.3549 | 63.0355
|
12.35 | 2260753740 | 0.3560 | 36.9645 | 63.3915
|
12.40 | 2506551620 | 0.3947 | 36.6085 | 63.7862
|
12.45 | 2141708728 | 0.3373 | 36.2138 | 64.1235
|
12.50 | 2476664704 | 0.3900 | 35.8765 | 64.5135
|
12.55 | 2270739044 | 0.3576 | 35.4865 | 64.8711
|
12.60 | 2493161876 | 0.3926 | 35.1289 | 65.2637
|
12.65 | 2251130924 | 0.3545 | 34.7363 | 65.6182
|
12.70 | 2404354488 | 0.3786 | 34.3818 | 65.9969
|
12.75 | 2345708068 | 0.3694 | 34.0031 | 66.3663
|
12.80 | 2350902636 | 0.3702 | 33.6337 | 66.7365
|
12.85 | 2364630736 | 0.3724 | 33.2635 | 67.1089
|
12.90 | 2265056376 | 0.3567 | 32.8911 | 67.4655
|
12.95 | 2182202468 | 0.3436 | 32.5345 | 67.8092
|
13 | 2411457368 | 0.3797 | 32.1908 | 68.1889
|
13.05 | 2203233492 | 0.3470 | 31.8111 | 68.5359
|
13.10 | 2188709520 | 0.3447 | 31.4641 | 68.8806
|
13.15 | 2152523204 | 0.3390 | 31.1194 | 69.2195
|
13.20 | 2192382276 | 0.3452 | 30.7805 | 69.5648
|
13.25 | 2187162860 | 0.3444 | 30.4352 | 69.9092
|
13.30 | 2221897128 | 0.3499 | 30.0908 | 70.2591
|
13.35 | 2073079940 | 0.3265 | 29.7409 | 70.5856
|
13.40 | 2221708764 | 0.3499 | 29.4144 | 70.9354
|
13.45 | 1984786852 | 0.3126 | 29.0646 | 71.2480
|
13.50 | 2231559828 | 0.3514 | 28.7520 | 71.5994
|
13.55 | 1962110672 | 0.3090 | 28.4006 | 71.9084
|
13.60 | 2181195500 | 0.3435 | 28.0916 | 72.2519
|
13.65 | 2022232740 | 0.3185 | 27.7481 | 72.5704
|
13.70 | 2076140176 | 0.3269 | 27.4296 | 72.8973
|
13.75 | 1997659916 | 0.3146 | 27.1027 | 73.2119
|
13.80 | 2157356392 | 0.3397 | 26.7881 | 73.5516
|
13.85 | 1833783220 | 0.2888 | 26.4484 | 73.8404
|
13.90 | 2146992436 | 0.3381 | 26.1596 | 74.1785
|
13.95 | 2003897816 | 0.3156 | 25.8215 | 74.4941
|
14 | 2069788812 | 0.3259 | 25.5059 | 74.8200
|
14.05 | 1930222552 | 0.3040 | 25.1800 | 75.1240
|
14.10 | 2118682528 | 0.3336 | 24.8760 | 75.4576
|
14.15 | 1857456780 | 0.2925 | 24.5424 | 75.7501
|
14.20 | 2019882084 | 0.3181 | 24.2499 | 76.0682
|
14.25 | 1972481616 | 0.3106 | 23.9318 | 76.3788
|
14.30 | 1953448664 | 0.3076 | 23.6212 | 76.6865
|
14.35 | 1832249620 | 0.2885 | 23.3135 | 76.9750
|
14.40 | 2032300772 | 0.3200 | 23.0250 | 77.2950
|
14.45 | 1825964644 | 0.2875 | 22.7050 | 77.5826
|
14.50 | 1884580756 | 0.2968 | 22.4174 | 77.8794
|
14.55 | 1782774532 | 0.2807 | 22.1206 | 78.1601
|
14.60 | 1841187832 | 0.2899 | 21.8399 | 78.4500
|
14.65 | 1767828744 | 0.2784 | 21.5500 | 78.7284
|
14.70 | 1867547048 | 0.2941 | 21.2716 | 79.0225
|
14.75 | 1665704040 | 0.2623 | 20.9775 | 79.2848
|
14.80 | 1775069400 | 0.2795 | 20.7152 | 79.5644
|
14.85 | 1699318340 | 0.2676 | 20.4356 | 79.8320
|
14.90 | 1730005240 | 0.2724 | 20.1680 | 80.1044
|
14.95 | 1591301776 | 0.2506 | 19.8956 | 80.3550 |
Points | Hands | Specific | At Least | At Most
|
---|
15 | 1814224944 | 0.2857 | 19.6450 | 80.6407
|
15.05 | 1593324824 | 0.2509 | 19.3593 | 80.8916
|
15.10 | 1739708644 | 0.2740 | 19.1084 | 81.1656
|
15.15 | 1555245640 | 0.2449 | 18.8344 | 81.4105
|
15.20 | 1714106728 | 0.2699 | 18.5895 | 81.6804
|
15.25 | 1595358020 | 0.2512 | 18.3196 | 81.9317
|
15.30 | 1720194052 | 0.2709 | 18.0683 | 82.2026
|
15.35 | 1581340020 | 0.2490 | 17.7974 | 82.4516
|
15.40 | 1654765492 | 0.2606 | 17.5484 | 82.7122
|
15.45 | 1506769232 | 0.2373 | 17.2878 | 82.9495
|
15.50 | 1678710672 | 0.2644 | 17.0505 | 83.2138
|
15.55 | 1524055472 | 0.2400 | 16.7862 | 83.4538
|
15.60 | 1643567024 | 0.2588 | 16.5462 | 83.7126
|
15.65 | 1428043072 | 0.2249 | 16.2874 | 83.9375
|
15.70 | 1547280072 | 0.2437 | 16.0625 | 84.1812
|
15.75 | 1524945496 | 0.2401 | 15.8188 | 84.4213
|
15.80 | 1513151024 | 0.2383 | 15.5787 | 84.6596
|
15.85 | 1459214096 | 0.2298 | 15.3404 | 84.8894
|
15.90 | 1473311956 | 0.2320 | 15.1106 | 85.1214
|
15.95 | 1362681656 | 0.2146 | 14.8786 | 85.3360
|
16 | 1469608096 | 0.2314 | 14.6640 | 85.5674
|
16.05 | 1360018632 | 0.2142 | 14.4326 | 85.7816
|
16.10 | 1414776492 | 0.2228 | 14.2184 | 86.0044
|
16.15 | 1324492028 | 0.2086 | 13.9956 | 86.2130
|
16.20 | 1382160608 | 0.2177 | 13.7870 | 86.4306
|
16.25 | 1308314840 | 0.2060 | 13.5694 | 86.6367
|
16.30 | 1359156480 | 0.2140 | 13.3633 | 86.8507
|
16.35 | 1246390728 | 0.1963 | 13.1493 | 87.0470
|
16.40 | 1339061644 | 0.2109 | 12.9530 | 87.2579
|
16.45 | 1175265868 | 0.1851 | 12.7421 | 87.4429
|
16.50 | 1383313048 | 0.2178 | 12.5571 | 87.6608
|
16.55 | 1174061908 | 0.1849 | 12.3392 | 87.8457
|
16.60 | 1302289200 | 0.2051 | 12.1543 | 88.0507
|
16.65 | 1152464632 | 0.1815 | 11.9493 | 88.2322
|
16.70 | 1262198060 | 0.1988 | 11.7678 | 88.4310
|
16.75 | 1137870312 | 0.1792 | 11.5690 | 88.6102
|
16.80 | 1277218840 | 0.2011 | 11.3898 | 88.8113
|
16.85 | 1120273716 | 0.1764 | 11.1887 | 88.9877
|
16.90 | 1231572200 | 0.1939 | 11.0123 | 89.1817
|
16.95 | 1083928852 | 0.1707 | 10.8183 | 89.3524
|
17 | 1221136548 | 0.1923 | 10.6476 | 89.5447
|
17.05 | 1068160360 | 0.1682 | 10.4553 | 89.7129
|
17.10 | 1148548100 | 0.1809 | 10.2871 | 89.8938
|
17.15 | 1063154620 | 0.1674 | 10.1062 | 90.0612
|
17.20 | 1131178196 | 0.1781 | 9.9388 | 90.2393
|
17.25 | 1034148820 | 0.1629 | 9.7607 | 90.4022
|
17.30 | 1088012436 | 0.1713 | 9.5978 | 90.5735
|
17.35 | 991393460 | 0.1561 | 9.4265 | 90.7296
|
17.40 | 1072218320 | 0.1688 | 9.2704 | 90.8985
|
17.45 | 986516616 | 0.1554 | 9.1015 | 91.0538
|
17.50 | 1021442548 | 0.1609 | 8.9462 | 91.2147
|
17.55 | 936931196 | 0.1475 | 8.7853 | 91.3622
|
17.60 | 1063506136 | 0.1675 | 8.6378 | 91.5297
|
17.65 | 901242824 | 0.1419 | 8.4703 | 91.6716
|
17.70 | 957009236 | 0.1507 | 8.3284 | 91.8223
|
17.75 | 920533944 | 0.1450 | 8.1777 | 91.9673
|
17.80 | 946088580 | 0.1490 | 8.0327 | 92.1163
|
17.85 | 864720780 | 0.1362 | 7.8837 | 92.2525
|
17.90 | 975912472 | 0.1537 | 7.7475 | 92.4061
|
17.95 | 810282396 | 0.1276 | 7.5939 | 92.5337
|
18 | 927769036 | 0.1461 | 7.4663 | 92.6798
|
18.05 | 799792648 | 0.1259 | 7.3202 | 92.8058
|
18.10 | 912164520 | 0.1436 | 7.1942 | 92.9494
|
18.15 | 793569584 | 0.1250 | 7.0506 | 93.0744
|
18.20 | 865332204 | 0.1363 | 6.9256 | 93.2107
|
18.25 | 789779640 | 0.1244 | 6.7893 | 93.3350
|
18.30 | 826390644 | 0.1301 | 6.6650 | 93.4652
|
18.35 | 757788276 | 0.1193 | 6.5348 | 93.5845
|
18.40 | 804567428 | 0.1267 | 6.4155 | 93.7112
|
18.45 | 714221372 | 0.1125 | 6.2888 | 93.8237
|
18.50 | 804705560 | 0.1267 | 6.1763 | 93.9504
|
18.55 | 717462408 | 0.1130 | 6.0496 | 94.0634
|
18.60 | 760722668 | 0.1198 | 5.9366 | 94.1832
|
18.65 | 690050060 | 0.1087 | 5.8168 | 94.2919
|
18.70 | 706304324 | 0.1112 | 5.7081 | 94.4031
|
18.75 | 682645528 | 0.1075 | 5.5969 | 94.5106
|
18.80 | 745078944 | 0.1173 | 5.4894 | 94.6279
|
18.85 | 617550356 | 0.0972 | 5.3721 | 94.7252
|
18.90 | 692538868 | 0.1091 | 5.2748 | 94.8342
|
18.95 | 620896084 | 0.0978 | 5.1658 | 94.9320
|
19 | 684502240 | 0.1078 | 5.0680 | 95.0398
|
19.05 | 611759724 | 0.0963 | 4.9602 | 95.1361
|
19.10 | 643944516 | 0.1014 | 4.8639 | 95.2375
|
19.15 | 580434240 | 0.0914 | 4.7625 | 95.3290
|
19.20 | 642247308 | 0.1011 | 4.6710 | 95.4301
|
19.25 | 575866228 | 0.0907 | 4.5699 | 95.5208
|
19.30 | 624123880 | 0.0983 | 4.4792 | 95.6191
|
19.35 | 531126396 | 0.0836 | 4.3809 | 95.7027
|
19.40 | 614316352 | 0.0967 | 4.2973 | 95.7994
|
19.45 | 525218200 | 0.0827 | 4.2006 | 95.8822
|
19.50 | 605372720 | 0.0953 | 4.1178 | 95.9775
|
19.55 | 520194604 | 0.0819 | 4.0225 | 96.0594
|
19.60 | 556740452 | 0.0877 | 3.9406 | 96.1471
|
19.65 | 502107964 | 0.0791 | 3.8529 | 96.2261
|
19.70 | 552542060 | 0.0870 | 3.7739 | 96.3132
|
19.75 | 470776052 | 0.0741 | 3.6868 | 96.3873
|
19.80 | 531970000 | 0.0838 | 3.6127 | 96.4711
|
19.85 | 458214428 | 0.0722 | 3.5289 | 96.5432
|
19.90 | 496023956 | 0.0781 | 3.4568 | 96.6213
|
19.95 | 444272392 | 0.0700 | 3.3787 | 96.6913 |
Points | Hands | Specific | At Least | At Most
|
---|
20 | 488506028 | 0.0769 | 3.3087 | 96.7682
|
20.05 | 426333088 | 0.0671 | 3.2318 | 96.8354
|
20.10 | 474974692 | 0.0748 | 3.1646 | 96.9102
|
20.15 | 419486588 | 0.0661 | 3.0898 | 96.9762
|
20.20 | 455794528 | 0.0718 | 3.0238 | 97.0480
|
20.25 | 388332216 | 0.0612 | 2.9520 | 97.1092
|
20.30 | 446237432 | 0.0703 | 2.8908 | 97.1794
|
20.35 | 394165340 | 0.0621 | 2.8206 | 97.2415
|
20.40 | 414112692 | 0.0652 | 2.7585 | 97.3067
|
20.45 | 362960628 | 0.0572 | 2.6933 | 97.3639
|
20.50 | 403234076 | 0.0635 | 2.6361 | 97.4274
|
20.55 | 350654624 | 0.0552 | 2.5726 | 97.4826
|
20.60 | 397575176 | 0.0626 | 2.5174 | 97.5452
|
20.65 | 341377484 | 0.0538 | 2.4548 | 97.5990
|
20.70 | 367480556 | 0.0579 | 2.4010 | 97.6568
|
20.75 | 327784192 | 0.0516 | 2.3432 | 97.7084
|
20.80 | 377942608 | 0.0595 | 2.2916 | 97.7680
|
20.85 | 316514784 | 0.0498 | 2.2320 | 97.8178
|
20.90 | 342357080 | 0.0539 | 2.1822 | 97.8717
|
20.95 | 299432620 | 0.0472 | 2.1283 | 97.9189
|
21 | 348052380 | 0.0548 | 2.0811 | 97.9737
|
21.05 | 283806816 | 0.0447 | 2.0263 | 98.0184
|
21.10 | 338242680 | 0.0533 | 1.9816 | 98.0716
|
21.15 | 266519536 | 0.0420 | 1.9284 | 98.1136
|
21.20 | 321234952 | 0.0506 | 1.8864 | 98.1642
|
21.25 | 265842256 | 0.0419 | 1.8358 | 98.2061
|
21.30 | 297160504 | 0.0468 | 1.7939 | 98.2529
|
21.35 | 254382252 | 0.0401 | 1.7471 | 98.2929
|
21.40 | 303215760 | 0.0477 | 1.7071 | 98.3407
|
21.45 | 232017336 | 0.0365 | 1.6593 | 98.3772
|
21.50 | 273802720 | 0.0431 | 1.6228 | 98.4203
|
21.55 | 233883504 | 0.0368 | 1.5797 | 98.4572
|
21.60 | 265521816 | 0.0418 | 1.5428 | 98.4990
|
21.65 | 231071648 | 0.0364 | 1.5010 | 98.5354
|
21.70 | 249310992 | 0.0393 | 1.4646 | 98.5746
|
21.75 | 213197844 | 0.0336 | 1.4254 | 98.6082
|
21.80 | 255197712 | 0.0402 | 1.3918 | 98.6484
|
21.85 | 206124320 | 0.0325 | 1.3516 | 98.6808
|
21.90 | 226879028 | 0.0357 | 1.3192 | 98.7166
|
21.95 | 202827520 | 0.0319 | 1.2834 | 98.7485
|
22 | 224370816 | 0.0353 | 1.2515 | 98.7838
|
22.05 | 190848440 | 0.0301 | 1.2162 | 98.8139
|
22.10 | 215306936 | 0.0339 | 1.1861 | 98.8478
|
22.15 | 181037120 | 0.0285 | 1.1522 | 98.8763
|
22.20 | 199057956 | 0.0313 | 1.1237 | 98.9077
|
22.25 | 179244948 | 0.0282 | 1.0923 | 98.9359
|
22.30 | 191144704 | 0.0301 | 1.0641 | 98.9660
|
22.35 | 160099924 | 0.0252 | 1.0340 | 98.9912
|
22.40 | 190549780 | 0.0300 | 1.0088 | 99.0212
|
22.45 | 160849720 | 0.0253 | 0.9788 | 99.0465
|
22.50 | 171944412 | 0.0271 | 0.9535 | 99.0736
|
22.55 | 146371700 | 0.0231 | 0.9264 | 99.0967
|
22.60 | 175518100 | 0.0276 | 0.9033 | 99.1243
|
22.65 | 137548484 | 0.0217 | 0.8757 | 99.1460
|
22.70 | 164890300 | 0.0260 | 0.8540 | 99.1719
|
22.75 | 132869256 | 0.0209 | 0.8281 | 99.1929
|
22.80 | 154515168 | 0.0243 | 0.8071 | 99.2172
|
22.85 | 127254336 | 0.0200 | 0.7828 | 99.2372
|
22.90 | 143767764 | 0.0226 | 0.7628 | 99.2599
|
22.95 | 118942780 | 0.0187 | 0.7401 | 99.2786
|
23 | 151260736 | 0.0238 | 0.7214 | 99.3024
|
23.05 | 112706408 | 0.0177 | 0.6976 | 99.3202
|
23.10 | 134904452 | 0.0212 | 0.6798 | 99.3414
|
23.15 | 111675780 | 0.0176 | 0.6586 | 99.3590
|
23.20 | 129522888 | 0.0204 | 0.6410 | 99.3794
|
23.25 | 104966116 | 0.0165 | 0.6206 | 99.3959
|
23.30 | 120934960 | 0.0190 | 0.6041 | 99.4150
|
23.35 | 101568508 | 0.0160 | 0.5850 | 99.4310
|
23.40 | 117170204 | 0.0185 | 0.5690 | 99.4494
|
23.45 | 88748120 | 0.0140 | 0.5506 | 99.4634
|
23.50 | 110770116 | 0.0174 | 0.5366 | 99.4808
|
23.55 | 89708920 | 0.0141 | 0.5192 | 99.4950
|
23.60 | 106116888 | 0.0167 | 0.5050 | 99.5117
|
23.65 | 86438996 | 0.0136 | 0.4883 | 99.5253
|
23.70 | 99129280 | 0.0156 | 0.4747 | 99.5409
|
23.75 | 79511520 | 0.0125 | 0.4591 | 99.5534
|
23.80 | 97853704 | 0.0154 | 0.4466 | 99.5688
|
23.85 | 81282084 | 0.0128 | 0.4312 | 99.5816
|
23.90 | 90019932 | 0.0142 | 0.4184 | 99.5958
|
23.95 | 69061260 | 0.0109 | 0.4042 | 99.6067
|
24 | 89930228 | 0.0142 | 0.3933 | 99.6208
|
24.05 | 67220940 | 0.0106 | 0.3792 | 99.6314
|
24.10 | 78122288 | 0.0123 | 0.3686 | 99.6437
|
24.15 | 65541852 | 0.0103 | 0.3563 | 99.6540
|
24.20 | 74442996 | 0.0117 | 0.3460 | 99.6658
|
24.25 | 60475736 | 0.0095 | 0.3342 | 99.6753
|
24.30 | 73401616 | 0.0116 | 0.3247 | 99.6869
|
24.35 | 55797312 | 0.0088 | 0.3131 | 99.6956
|
24.40 | 70318452 | 0.0111 | 0.3044 | 99.7067
|
24.45 | 53768040 | 0.0085 | 0.2933 | 99.7152
|
24.50 | 64298936 | 0.0101 | 0.2848 | 99.7253
|
24.55 | 52121104 | 0.0082 | 0.2747 | 99.7335
|
24.60 | 65011612 | 0.0102 | 0.2665 | 99.7438
|
24.65 | 47514068 | 0.0075 | 0.2562 | 99.7512
|
24.70 | 58759172 | 0.0093 | 0.2488 | 99.7605
|
24.75 | 43274172 | 0.0068 | 0.2395 | 99.7673
|
24.80 | 57189084 | 0.0090 | 0.2327 | 99.7763
|
24.85 | 41217136 | 0.0065 | 0.2237 | 99.7828
|
24.90 | 52279360 | 0.0082 | 0.2172 | 99.7910
|
24.95 | 38316552 | 0.0060 | 0.2090 | 99.7971 |
Points | Hands | Specific | At Least | At Most
|
---|
25 | 49002264 | 0.0077 | 0.2029 | 99.8048
|
25.05 | 39923060 | 0.0063 | 0.1952 | 99.8111
|
25.10 | 43238420 | 0.0068 | 0.1889 | 99.8179
|
25.15 | 35790440 | 0.0056 | 0.1821 | 99.8235
|
25.20 | 43285544 | 0.0068 | 0.1765 | 99.8303
|
25.25 | 30424092 | 0.0048 | 0.1697 | 99.8351
|
25.30 | 39945036 | 0.0063 | 0.1649 | 99.8414
|
25.35 | 31322512 | 0.0049 | 0.1586 | 99.8463
|
25.40 | 37606212 | 0.0059 | 0.1537 | 99.8523
|
25.45 | 29942428 | 0.0047 | 0.1477 | 99.8570
|
25.50 | 35485528 | 0.0056 | 0.1430 | 99.8626
|
25.55 | 27069072 | 0.0043 | 0.1374 | 99.8668
|
25.60 | 35967948 | 0.0057 | 0.1332 | 99.8725
|
25.65 | 25309820 | 0.0040 | 0.1275 | 99.8765
|
25.70 | 32393256 | 0.0051 | 0.1235 | 99.8816
|
25.75 | 22854664 | 0.0036 | 0.1184 | 99.8852
|
25.80 | 30100500 | 0.0047 | 0.1148 | 99.8899
|
25.85 | 23010160 | 0.0036 | 0.1101 | 99.8935
|
25.90 | 29816932 | 0.0047 | 0.1065 | 99.8982
|
25.95 | 20620140 | 0.0032 | 0.1018 | 99.9015
|
26 | 26380440 | 0.0042 | 0.0985 | 99.9056
|
26.05 | 19204996 | 0.0030 | 0.0944 | 99.9087
|
26.10 | 24902448 | 0.0039 | 0.0913 | 99.9126
|
26.15 | 17346016 | 0.0027 | 0.0874 | 99.9153
|
26.20 | 24397380 | 0.0038 | 0.0847 | 99.9192
|
26.25 | 17311060 | 0.0027 | 0.0808 | 99.9219
|
26.30 | 21286052 | 0.0034 | 0.0781 | 99.9252
|
26.35 | 15933492 | 0.0025 | 0.0748 | 99.9278
|
26.40 | 21991224 | 0.0035 | 0.0722 | 99.9312
|
26.45 | 14804452 | 0.0023 | 0.0688 | 99.9335
|
26.50 | 18774108 | 0.0030 | 0.0665 | 99.9365
|
26.55 | 13837432 | 0.0022 | 0.0635 | 99.9387
|
26.60 | 17655984 | 0.0028 | 0.0613 | 99.9415
|
26.65 | 13056460 | 0.0021 | 0.0585 | 99.9435
|
26.70 | 15700772 | 0.0025 | 0.0565 | 99.9460
|
26.75 | 11992524 | 0.0019 | 0.0540 | 99.9479
|
26.80 | 14603116 | 0.0023 | 0.0521 | 99.9502
|
26.85 | 11336572 | 0.0018 | 0.0498 | 99.9520
|
26.90 | 13798400 | 0.0022 | 0.0480 | 99.9541
|
26.95 | 9969896 | 0.0016 | 0.0459 | 99.9557
|
27 | 11962932 | 0.0019 | 0.0443 | 99.9576
|
27.05 | 9764956 | 0.0015 | 0.0424 | 99.9591
|
27.10 | 12514240 | 0.0020 | 0.0409 | 99.9611
|
27.15 | 8192196 | 0.0013 | 0.0389 | 99.9624
|
27.20 | 12434364 | 0.0020 | 0.0376 | 99.9643
|
27.25 | 7070156 | 0.0011 | 0.0357 | 99.9655
|
27.30 | 10863564 | 0.0017 | 0.0345 | 99.9672
|
27.35 | 6631852 | 0.0010 | 0.0328 | 99.9682
|
27.40 | 10788412 | 0.0017 | 0.0318 | 99.9699
|
27.45 | 6480088 | 0.0010 | 0.0301 | 99.9709
|
27.50 | 9704884 | 0.0015 | 0.0291 | 99.9725
|
27.55 | 6029996 | 0.0009 | 0.0275 | 99.9734
|
27.60 | 8575260 | 0.0014 | 0.0266 | 99.9748
|
27.65 | 5723304 | 0.0009 | 0.0252 | 99.9757
|
27.70 | 7962860 | 0.0013 | 0.0243 | 99.9769
|
27.75 | 5350392 | 0.0008 | 0.0231 | 99.9778
|
27.80 | 7450648 | 0.0012 | 0.0222 | 99.9789
|
27.85 | 5159288 | 0.0008 | 0.0211 | 99.9797
|
27.90 | 6254972 | 0.0010 | 0.0203 | 99.9807
|
27.95 | 4898404 | 0.0008 | 0.0193 | 99.9815
|
28 | 7098656 | 0.0011 | 0.0185 | 99.9826
|
28.05 | 4282456 | 0.0007 | 0.0174 | 99.9833
|
28.10 | 5638652 | 0.0009 | 0.0167 | 99.9842
|
28.15 | 3708532 | 0.0006 | 0.0158 | 99.9848
|
28.20 | 5769760 | 0.0009 | 0.0152 | 99.9857
|
28.25 | 3569456 | 0.0006 | 0.0143 | 99.9862
|
28.30 | 5018140 | 0.0008 | 0.0138 | 99.9870
|
28.35 | 3407176 | 0.0005 | 0.0130 | 99.9876
|
28.40 | 4257924 | 0.0007 | 0.0124 | 99.9882
|
28.45 | 3007112 | 0.0005 | 0.0118 | 99.9887
|
28.50 | 4071820 | 0.0006 | 0.0113 | 99.9894
|
28.55 | 2524688 | 0.0004 | 0.0106 | 99.9897
|
28.60 | 3610104 | 0.0006 | 0.0103 | 99.9903
|
28.65 | 2225308 | 0.0004 | 0.0097 | 99.9907
|
28.70 | 3590100 | 0.0006 | 0.0093 | 99.9912
|
28.75 | 1854464 | 0.0003 | 0.0088 | 99.9915
|
28.80 | 2922012 | 0.0005 | 0.0085 | 99.9920
|
28.85 | 2151280 | 0.0003 | 0.0080 | 99.9923
|
28.90 | 2984276 | 0.0005 | 0.0077 | 99.9928
|
28.95 | 1732564 | 0.0003 | 0.0072 | 99.9931
|
29 | 2873116 | 0.0005 | 0.0069 | 99.9935
|
29.05 | 1497800 | 0.0002 | 0.0065 | 99.9938
|
29.10 | 2400568 | 0.0004 | 0.0062 | 99.9941
|
29.15 | 1573884 | 0.0002 | 0.0059 | 99.9944
|
29.20 | 2213592 | 0.0003 | 0.0056 | 99.9947
|
29.25 | 1275308 | 0.0002 | 0.0053 | 99.9949
|
29.30 | 2118844 | 0.0003 | 0.0051 | 99.9953
|
29.35 | 1254132 | 0.0002 | 0.0047 | 99.9955
|
29.40 | 2065212 | 0.0003 | 0.0045 | 99.9958
|
29.45 | 1192304 | 0.0002 | 0.0042 | 99.9960
|
29.50 | 1494948 | 0.0002 | 0.0040 | 99.9962
|
29.55 | 1017456 | 0.0002 | 0.0038 | 99.9964
|
29.60 | 1501368 | 0.0002 | 0.0036 | 99.9966
|
29.65 | 1050364 | 0.0002 | 0.0034 | 99.9968
|
29.70 | 1336752 | 0.0002 | 0.0032 | 99.9970
|
29.75 | 920552 | 0.0001 | 0.0030 | 99.9971
|
29.80 | 1303104 | 0.0002 | 0.0029 | 99.9973
|
29.85 | 622036 | 0.0001 | 0.0027 | 99.9974
|
29.90 | 1231704 | 0.0002 | 0.0026 | 99.9976
|
29.95 | 590672 | 0.0001 | 0.0024 | 99.9977 |
Points | Hands | Specific | At Least | At Most
|
---|
30 | 1059784 | 0.0002 | 0.0023 | 99.9979
|
30.05 | 582408 | 0.0001 | 0.0021 | 99.9980
|
30.10 | 888924 | 0.0001 | 0.0020 | 99.9981
|
30.15 | 526688 | 0.0001 | 0.0019 | 99.9982
|
30.20 | 900588 | 0.0001 | 0.0018 | 99.9983
|
30.25 | 423304 | 0.0001 | 0.0017 | 99.9984
|
30.30 | 764236 | 0.0001 | 0.0016 | 99.9985
|
30.35 | 416588 | 0.0001 | 0.0015 | 99.9986
|
30.40 | 631452 | 0.0001 | 0.0014 | 99.9987
|
30.45 | 372360 | 0.0001 | 0.0013 | 99.9988
|
30.50 | 532572 | 0.0001 | 0.0012 | 99.9988
|
30.55 | 382836 | 0.0001 | 0.0012 | 99.9989
|
30.60 | 609148 | 0.0001 | 0.0011 | 99.9990
|
30.65 | 273000 | 0.0000 | 0.0010 | 99.9990
|
30.70 | 477052 | 0.0001 | 0.0010 | 99.9991
|
30.75 | 201132 | 0.0000 | 0.0009 | 99.9991
|
30.80 | 503640 | 0.0001 | 0.0009 | 99.9992
|
30.85 | 232712 | 0.0000 | 0.0008 | 99.9993
|
30.90 | 466808 | 0.0001 | 0.0007 | 99.9993
|
30.95 | 220276 | 0.0000 | 0.0007 | 99.9994
|
31 | 243700 | 0.0000 | 0.0006 | 99.9994
|
31.05 | 181888 | 0.0000 | 0.0006 | 99.9994
|
31.10 | 327676 | 0.0001 | 0.0006 | 99.9995
|
31.15 | 178744 | 0.0000 | 0.0005 | 99.9995
|
31.20 | 246908 | 0.0000 | 0.0005 | 99.9996
|
31.25 | 158400 | 0.0000 | 0.0004 | 99.9996
|
31.30 | 250020 | 0.0000 | 0.0004 | 99.9996
|
31.35 | 78544 | 0.0000 | 0.0004 | 99.9996
|
31.40 | 273132 | 0.0000 | 0.0004 | 99.9997
|
31.45 | 94288 | 0.0000 | 0.0003 | 99.9997
|
31.50 | 122720 | 0.0000 | 0.0003 | 99.9997
|
31.55 | 93460 | 0.0000 | 0.0003 | 99.9997
|
31.60 | 183180 | 0.0000 | 0.0003 | 99.9997
|
31.65 | 60856 | 0.0000 | 0.0003 | 99.9998
|
31.70 | 145836 | 0.0000 | 0.0002 | 99.9998
|
31.75 | 81168 | 0.0000 | 0.0002 | 99.9998
|
31.80 | 134896 | 0.0000 | 0.0002 | 99.9998
|
31.85 | 45292 | 0.0000 | 0.0002 | 99.9998
|
31.90 | 127916 | 0.0000 | 0.0002 | 99.9998
|
31.95 | 49764 | 0.0000 | 0.0002 | 99.9999
|
32 | 94824 | 0.0000 | 0.0001 | 99.9999
|
32.05 | 43408 | 0.0000 | 0.0001 | 99.9999
|
32.10 | 72016 | 0.0000 | 0.0001 | 99.9999
|
32.15 | 35328 | 0.0000 | 0.0001 | 99.9999
|
32.20 | 82000 | 0.0000 | 0.0001 | 99.9999
|
32.25 | 44236 | 0.0000 | 0.0001 | 99.9999
|
32.30 | 72484 | 0.0000 | 0.0001 | 99.9999
|
32.35 | 29940 | 0.0000 | 0.0001 | 99.9999
|
32.40 | 63352 | 0.0000 | 0.0001 | 99.9999
|
32.45 | 19856 | 0.0000 | 0.0001 | 99.9999
|
32.50 | 43596 | 0.0000 | 0.0001 | 99.9999
|
32.55 | 23496 | 0.0000 | 0.0001 | 99.9999
|
32.60 | 27588 | 0.0000 | 0.0001 | 100.0000
|
32.65 | 13732 | 0.0000 | 0.0000 | 100.0000
|
32.70 | 36576 | 0.0000 | 0.0000 | 100.0000
|
32.75 | 20148 | 0.0000 | 0.0000 | 100.0000
|
32.80 | 41908 | 0.0000 | 0.0000 | 100.0000
|
32.85 | 7432 | 0.0000 | 0.0000 | 100.0000
|
32.90 | 20752 | 0.0000 | 0.0000 | 100.0000
|
32.95 | 5268 | 0.0000 | 0.0000 | 100.0000
|
33 | 11348 | 0.0000 | 0.0000 | 100.0000
|
33.05 | 10476 | 0.0000 | 0.0000 | 100.0000
|
33.10 | 14776 | 0.0000 | 0.0000 | 100.0000
|
33.15 | 5364 | 0.0000 | 0.0000 | 100.0000
|
33.20 | 14472 | 0.0000 | 0.0000 | 100.0000
|
33.25 | 3828 | 0.0000 | 0.0000 | 100.0000
|
33.30 | 13036 | 0.0000 | 0.0000 | 100.0000
|
33.35 | 1760 | 0.0000 | 0.0000 | 100.0000
|
33.40 | 13668 | 0.0000 | 0.0000 | 100.0000
|
33.45 | 2592 | 0.0000 | 0.0000 | 100.0000
|
33.50 | 8400 | 0.0000 | 0.0000 | 100.0000
|
33.55 | 3804 | 0.0000 | 0.0000 | 100.0000
|
33.60 | 6496 | 0.0000 | 0.0000 | 100.0000
|
33.65 | 936 | 0.0000 | 0.0000 | 100.0000
|
33.70 | 5316 | 0.0000 | 0.0000 | 100.0000
|
33.75 | 972 | 0.0000 | 0.0000 | 100.0000
|
33.80 | 7648 | 0.0000 | 0.0000 | 100.0000
|
33.85 | 2436 | 0.0000 | 0.0000 | 100.0000
|
33.90 | 3384 | 0.0000 | 0.0000 | 100.0000
|
33.95 | 228 | 0.0000 | 0.0000 | 100.0000
|
34 | 2364 | 0.0000 | 0.0000 | 100.0000
|
34.05 | 724 | 0.0000 | 0.0000 | 100.0000
|
34.10 | 1500 | 0.0000 | 0.0000 | 100.0000
|
34.15 | 732 | 0.0000 | 0.0000 | 100.0000
|
34.20 | 1212 | 0.0000 | 0.0000 | 100.0000
|
34.25 | 52 | 0.0000 | 0.0000 | 100.0000
|
34.30 | 2044 | 0.0000 | 0.0000 | 100.0000
|
34.35 | 156 | 0.0000 | 0.0000 | 100.0000
|
34.40 | 1832 | 0.0000 | 0.0000 | 100.0000
|
34.50 | 796 | 0.0000 | 0.0000 | 100.0000
|
34.55 | 636 | 0.0000 | 0.0000 | 100.0000
|
34.60 | 252 | 0.0000 | 0.0000 | 100.0000
|
34.65 | 84 | 0.0000 | 0.0000 | 100.0000
|
34.70 | 412 | 0.0000 | 0.0000 | 100.0000
|
34.80 | 672 | 0.0000 | 0.0000 | 100.0000
|
34.85 | 12 | 0.0000 | 0.0000 | 100.0000
|
34.90 | 132 | 0.0000 | 0.0000 | 100.0000
|
35.05 | 36 | 0.0000 | 0.0000 | 100.0000
|
35.10 | 144 | 0.0000 | 0.0000 | 100.0000
|
35.20 | 28 | 0.0000 | 0.0000 | 100.0000
|
35.30 | 36 | 0.0000 | 0.0000 | 100.0000
|
35.40 | 16 | 0.0000 | 0.0000 | 100.0000
|
35.60 | 8 | 0.0000 | 0.0000 | 100
|
U = 710 | 635013559600 | 100 | 71100 |
Percents shown as 0.0000 are not zero but round to zero to four decimal places. Likewise, 100.0000 is not the same as 100 but falls short by a negligible amount. Check total of At Least + At Most should be 100(U+1).
Study 8J19 Main |  | Top Kaplan-Rubens Evaluation Stats |
© 2014 Richard Pavlicek