Main   Stats 8H30 by Richard Pavlicek  

IMP Matches thru 8-1-18

Double-dummy stats for 9,575 deals

Each table lists all possible values for each statistic, with the number of occurrences and percent for each hand (or specified circumstance). The most frequent occurrence (mode) is tinted gold, the second-most paler gold, and the third-most even paler. The bottom line shows the number of unique values (U), the total number of occurrences, and the average (mean) value.
MsmhmdmcmlflmbfbmHOBPar Z N E BLoTT 14 15 16 17 18 19 20 21 22 23 24 25

The last column of the first 12 tables shows the expected occurrence and percent of each value. “Theoretical” means it is mathematically determined and exact. “Empirical” means it is estimated from actual evidence, which for double-dummy results is the only way possible.

Percents and averages are rounded to four decimal places, unless zero, which is shown as a single digit. Hence 0.0000 percent is greater than zero but simply rounds that way to the nearest 10,000th. TopMain

Notrump make = M

Winnable tricks at double-dummy in notrump

ValueNorthSouthWestEastEmpirical
0181  1.8903179  1.8695130  1.3577133  1.38909913593383  1.5612
1378  3.9478372  3.8851353  3.6867358  3.738923145762677  3.6449
2577  6.0261593  6.1932528  5.5144523  5.462137977932067  5.9806
3788  8.2298792  8.2715808  8.4386797  8.323852871069846  8.3260
41043 10.89301044 10.9034992 10.3603995 10.391667524194742 10.6335
51165 12.16711149 12.00001218 12.72061216 12.699780101714628 12.6142
61367 14.27681353 14.13051418 14.80941427 14.903490730441332 14.2880
71254 13.09661249 13.04441239 12.93991249 13.044484402158672 13.2914
81083 11.31071106 11.55091059 11.06011051 10.976571237104568 11.2182
9748  7.8120737  7.6971736  7.6867739  7.718047702049563  7.5120
10489  5.1070498  5.2010489  5.1070481  5.023532569065440  5.1289
11275  2.8721273  2.8512314  3.2794321  3.352520600866092  3.2442
12169  1.7650173  1.8068208  2.1723202  2.109711865157167  1.8685
1358  0.605757  0.595383  0.866883  0.86684372449423  0.6886
U = 149575  5.94959575  5.95279575  6.06659575  6.0640635013559600  6.0066
TopMain

Spade make = sm

Winnable tricks at double-dummy with spades trump

ValueNorthSouthWestEastEmpirical
0106  1.1070107  1.117587  0.908687  0.90866949893015  1.0944
1276  2.8825273  2.8512278  2.9034281  2.934717646817412  2.7790
2526  5.4935516  5.3890435  4.5431427  4.459532992452829  5.1956
3741  7.7389747  7.8016759  7.9269778  8.125350476652542  7.9489
41009 10.53791020 10.65271022 10.67361015 10.600566372975438 10.4522
51154 12.05221160 12.11491222 12.76241210 12.637177821925315 12.2552
61237 12.91911220 12.74151254 13.09661259 13.148882551854345 13.0000
71263 13.19061254 13.09661174 12.26111176 12.282080760822737 12.7180
81122 11.71801136 11.86421089 11.37341095 11.436073465633954 11.5691
9896  9.3577889  9.2846923  9.6397923  9.639760489162482  9.5256
10662  6.9138667  6.9661668  6.9765653  6.819843661750688  6.8757
11353  3.6867359  3.7493415  4.3342428  4.470026377787548  4.1539
12190  1.9843189  1.9739202  2.1097192  2.005212128527136  1.9100
1340  0.417838  0.396947  0.490951  0.53263317304159  0.5224
U = 149575  6.26259575  6.26579575  6.33579575  6.3328635013559600  6.2957
TopMain

Heart make = sm

Winnable tricks at double-dummy with hearts trump

ValueNorthSouthWestEastEmpirical
0115  1.2010114  1.1906100  1.044498  1.02356949893015  1.0944
1292  3.0496294  3.0705270  2.8198268  2.799017646817412  2.7790
2543  5.6710544  5.6815492  5.1384492  5.138432992452829  5.1956
3757  7.9060757  7.9060739  7.7180741  7.738950476652542  7.9489
41005 10.49611001 10.4543979 10.2245987 10.308166372975438 10.4522
51171 12.22981179 12.31331168 12.19841162 12.135877821925315 12.2552
61266 13.22191249 13.04441200 12.53261192 12.449182551854345 13.0000
71178 12.30291176 12.28201239 12.93991266 13.221980760822737 12.7180
81074 11.21671095 11.43601091 11.39431069 11.164573465633954 11.5691
9883  9.2219873  9.1175936  9.7755947  9.890360489162482  9.5256
10666  6.9556666  6.9556667  6.9661658  6.872143661750688  6.8757
11397  4.1462402  4.1984430  4.4909436  4.553526377787548  4.1539
12178  1.8590175  1.8277204  2.1305199  2.078312128527136  1.9100
1350  0.522250  0.522260  0.626660  0.62663317304159  0.5224
U = 149575  6.23699575  6.23789575  6.35829575  6.3568635013559600  6.2957
TopMain

Diamond make = sm

Winnable tricks at double-dummy with diamonds trump

ValueNorthSouthWestEastEmpirical
0121  1.2637122  1.274287  0.908689  0.92956949893015  1.0944
1273  2.8512273  2.8512275  2.8721263  2.746717646817412  2.7790
2498  5.2010499  5.2115455  4.7520456  4.762432992452829  5.1956
3800  8.3551798  8.3342708  7.3943711  7.425650476652542  7.9489
4991 10.3499988 10.31851010 10.54831014 10.590166372975438 10.4522
51090 11.38381098 11.46741282 13.38901281 13.378677821925315 12.2552
61282 13.38901281 13.37861221 12.75201218 12.720682551854345 13.0000
71239 12.93991222 12.76241228 12.82511237 12.919180760822737 12.7180
81188 12.40731183 12.35511061 11.08091058 11.049673465633954 11.5691
9905  9.4517917  9.5770925  9.6606912  9.524860489162482  9.5256
10583  6.0888585  6.1097672  7.0183683  7.133243661750688  6.8757
11378  3.9478380  3.9687394  4.1149398  4.156726377787548  4.1539
12190  1.9843193  2.0157199  2.0783198  2.067912128527136  1.9100
1337  0.386436  0.376058  0.605757  0.59533317304159  0.5224
U = 149575  6.25029575  6.25369575  6.33849575  6.3429635013559600  6.2957
TopMain

Club make = sm

Winnable tricks at double-dummy with clubs trump

ValueNorthSouthWestEastEmpirical
0129  1.3473131  1.3681100  1.044499  1.03396949893015  1.0944
1278  2.9034271  2.8303259  2.7050257  2.684117646817412  2.7790
2489  5.1070492  5.1384463  4.8355467  4.877332992452829  5.1956
3717  7.4883734  7.6658765  7.9896775  8.094050476652542  7.9489
41011 10.55871008 10.52741000 10.4439989 10.329066372975438 10.4522
51287 13.44131286 13.43081122 11.71801101 11.498777821925315 12.2552
61224 12.78331209 12.62661231 12.85641256 13.117582551854345 13.0000
71230 12.84601224 12.78331232 12.86681228 12.825180760822737 12.7180
81044 10.90341054 11.00781200 12.53261213 12.668473465633954 11.5691
9896  9.3577894  9.3368912  9.5248908  9.483060489162482  9.5256
10675  7.0496669  6.9869620  6.4752622  6.496143661750688  6.8757
11373  3.8956382  3.9896382  3.9896375  3.916426377787548  4.1539
12175  1.8277175  1.8277217  2.2663213  2.224512128527136  1.9100
1347  0.490946  0.480472  0.752072  0.75203317304159  0.5224
U = 149575  6.24759575  6.24649575  6.35519575  6.3522635013559600  6.2957
TopMain

Longest fit = lf

Number of cards in longest trump fit

ValueNorthSouthWestEastTheoretical
71512 15.79111512 15.79111518 15.85381518 15.853813006498437504 15.7363
84372 45.66064372 45.66064377 45.71284377 45.712837809373653909 45.7447
92713 28.33422713 28.33422747 28.68932747 28.689323225440992325 28.0999
10832  8.6893832  8.6893769  8.0313769  8.03137168401039800  8.6729
11133  1.3890133  1.3890145  1.5144145  1.51441307227435020  1.5816
1213  0.135813  0.135819  0.198419  0.1984130732315831  0.1582
1300005414950295  0.0066
U = 79575  8.34639575  8.34639575  8.34239575  8.342382653088824684  8.3512
TopMain

Longest fit make = lm

Winnable tricks at double-dummy with longest fit trumps

ValueNorthSouthWestEastEmpirical
0001  0.01041  0.010422876394  0.0036
14  0.04185  0.05224  0.04185  0.0522251246691  0.0396
226  0.271523  0.240226  0.271526  0.27151556124656  0.2451
3100  1.0444102  1.065366  0.689368  0.71025892722789  0.9280
4242  2.5274247  2.5796237  2.4752234  2.443916409883547  2.5842
5551  5.7546553  5.7755577  6.0261573  5.984335643298455  5.6130
6927  9.6815923  9.6397908  9.4830909  9.493562031256233  9.7685
71383 14.44391384 14.45431346 14.05741363 14.235089999744190 14.1729
81712 17.87991711 17.86951631 17.03391627 16.9922110099842849 17.3382
91688 17.62921674 17.48301707 17.82771692 17.6710113173167471 17.8222
101445 15.09141460 15.24801429 14.92431435 14.986995919764225 15.1052
11911  9.5144911  9.5144962 10.0470965 10.078364150449024 10.1022
12471  4.9191465  4.8564521  5.4413516  5.389031112561346  4.8995
13115  1.2010117  1.2219160  1.6710161  1.68158750621730  1.3780
U = 149575  8.33719575  8.33559575  8.41489575  8.4126635013559600  8.3753
TopMain

Best fit = bf

Number of cards in most productive (double-dummy) trump fit

ValueNorthSouthWestEastEmpirical
5002  0.02092  0.020910461673  0.0016
617  0.177514  0.146213  0.135814  0.14621222077835  0.1924
71602 16.73111603 16.74151590 16.60571592 16.6266105351212255 16.5904
84322 45.13844327 45.19064355 45.48304351 45.4413287234089436 45.2327
92664 27.82252663 27.81202692 28.11492693 28.1253175437245133 27.6273
10825  8.6162823  8.5953761  7.9478760  7.937354701014789  8.6141
11132  1.3786132  1.3786143  1.4935144  1.503910008187498  1.5761
1213  0.135813  0.135819  0.198419  0.19841006364496  0.1585
13000042906485  0.0068
U = 99575  8.32659575  8.32659575  8.32349575  8.3232635013559600  8.3327
TopMain

Best fit make = bm

Winnable tricks at double-dummy with most productive fit trumps

ValueNorthSouthWestEastEmpirical
000001513990  0.0002
12  0.02092  0.02093  0.03133  0.0313132231913  0.0208
223  0.240221  0.219321  0.219321  0.21931339624042  0.2110
397  1.013199  1.033964  0.668468  0.71025671089748  0.8931
4239  2.4961242  2.5274236  2.4648229  2.391616177592015  2.5476
5537  5.6084542  5.6606576  6.0157573  5.984335415185536  5.5771
6929  9.7023926  9.6710892  9.3159896  9.357761775936908  9.7283
71379 14.40211382 14.43341342 14.01571360 14.203789711329037 14.1275
81710 17.85901703 17.78591635 17.07571628 17.0026109962826727 17.3166
91698 17.73371683 17.57701708 17.83811691 17.6606113305081446 17.8429
101446 15.10181459 15.23761436 14.99741446 15.101896187452851 15.1473
11913  9.5352919  9.5979964 10.0679967 10.099264547826059 10.1648
12485  5.0653478  4.9922537  5.6084531  5.545731646530587  4.9836
13117  1.2219119  1.2428161  1.6815162  1.69199139338741  1.4392
U = 149575  8.35649575  8.35539575  8.43459575  8.4328635013559600  8.3938
TopMain

Highest make = H

Highest makable strain-tricks at double-dummy

ValueNorthSouthWestEastEmpirical
 0 —00001513990  0.0002
 1 C 100004027214  0.0006
 2 D 1001  0.01041  0.010411612306  0.0018
 3 H 1000025874094  0.0041
 4 S 11  0.01041  0.01041  0.01041  0.010453231899  0.0084
 5 N 11  0.01041  0.01041  0.01041  0.010436956503  0.0058
 6 C 22  0.02092  0.02093  0.03133  0.0313120316810  0.0189
 7 D 22  0.02092  0.02096  0.06276  0.0627198635528  0.0313
 8 H 28  0.08368  0.08366  0.06276  0.0627326628269  0.0514
 9 S 28  0.08367  0.07315  0.05225  0.0522500918833  0.0789
10 N 23  0.03132  0.02091  0.01041  0.0104185145875  0.0292
11 C 39  0.09408  0.08366  0.06277  0.0731708986520  0.1116
12 D 324  0.250727  0.282014  0.146215  0.1567998658286  0.1573
13 H 324  0.250723  0.240215  0.156716  0.16711395338886  0.2197
14 S 330  0.313332  0.334222  0.229822  0.22981910125869  0.3008
15 N 39  0.09408  0.08367  0.07318  0.0836600509115  0.0946
16 C 441  0.428240  0.417835  0.365534  0.35512289229042  0.3605
17 D 439  0.407337  0.386443  0.449143  0.44912994612265  0.4716
18 H 452  0.543153  0.553552  0.543149  0.51173903975403  0.6148
19 S 481  0.846086  0.898280  0.835576  0.79375081012026  0.8001
20 N 424  0.250724  0.250720  0.208923  0.24021713322270  0.2698
21 C 599  1.0339102  1.065379  0.825178  0.81465390835002  0.8489
22 D 5106  1.1070109  1.1384119  1.2428120  1.25336765583620  1.0654
23 H 5138  1.4413134  1.3995128  1.3368129  1.34738498769442  1.3384
24 S 5140  1.4621143  1.4935173  1.8068172  1.796310602398413  1.6696
25 N 547  0.490947  0.490978  0.814672  0.75203790350430  0.5969
26 C 6155  1.6188154  1.6084127  1.3264134  1.39959966643603  1.5695
27 D 6189  1.9739191  1.9948161  1.6815165  1.723212109712021  1.9070
28 H 6213  2.2245210  2.1932235  2.4543233  2.433414729112069  2.3195
29 S 6264  2.7572266  2.7781272  2.8407272  2.840717910202521  2.8204
30 N 699  1.033992  0.960890  0.939985  0.88776534760658  1.0291
31 C 7233  2.4334231  2.4125221  2.3081222  2.318515075437352  2.3740
32 D 7299  3.1227291  3.0392272  2.8407275  2.872117958650211  2.8281
33 H 7308  3.2167311  3.2480335  3.4987337  3.519621361994439  3.3640
34 S 7386  4.0313400  4.1775379  3.9582383  4.000025528480621  4.0201
35 N 7144  1.5039146  1.5248124  1.2950130  1.35779154206125  1.4416
36 C 8266  2.7781261  2.7258307  3.2063311  3.248018791511418  2.9592
37 D 8348  3.6345355  3.7076293  3.0601289  3.018322088800625  3.4785
38 H 8418  4.3655422  4.4073388  4.0522379  3.958226002102208  4.0947
39 S 8479  5.0026463  4.8355458  4.7833464  4.846030496109913  4.8024
40 N 8197  2.0574200  2.0888172  1.7963174  1.817212173466153  1.9170
41 C 9320  3.3420321  3.3525276  2.8825270  2.819819155398988  3.0165
42 D 9306  3.1958316  3.3003331  3.4569327  3.415122679953280  3.5716
43 H 9393  4.1044373  3.8956425  4.4386422  4.407326645003052  4.1960
44 S 9459  4.7937461  4.8146476  4.9713465  4.856431116921638  4.9002
45 N 9214  2.2350208  2.1723214  2.2350216  2.255913776418529  2.1695
46 C 10258  2.6945261  2.7258229  2.3916221  2.308115678126613  2.4689
47 D 10238  2.4856244  2.5483297  3.1018311  3.248018845651711  2.9678
48 H 10332  3.4674327  3.4151337  3.5196339  3.540522346330376  3.5190
49 S 10421  4.3969420  4.3864387  4.0418387  4.041826213758053  4.1281
50 N 10210  2.1932219  2.2872192  2.0052192  2.005213730953401  2.1623
51 C 11127  1.3264125  1.3055128  1.3368122  1.27429697289588  1.5271
52 D 11182  1.9008179  1.8695162  1.6919159  1.660611914043914  1.8762
53 H 11212  2.2141214  2.2350239  2.4961241  2.517014305376462  2.2528
54 S 11246  2.5692243  2.5379266  2.7781274  2.861616882127404  2.6585
55 N 11165  1.7232173  1.8068183  1.9112187  1.953012637216524  1.9901
56 C 1254  0.564054  0.564071  0.741573  0.76244042066459  0.6365
57 D 1283  0.866879  0.825178  0.814683  0.86684996576787  0.7868
58 H 1289  0.929588  0.919194  0.981795  0.99226084938998  0.9582
59 S 12120  1.2533114  1.1906120  1.2533117  1.22197241748711  1.1404
60 N 12140  1.4621145  1.5144175  1.8277169  1.76509797000990  1.5428
61 C 1315  0.156715  0.156722  0.229821  0.2193950467974  0.1497
62 D 1310  0.104412  0.125320  0.208918  0.18801125576093  0.1773
63 H 1319  0.198420  0.208921  0.219322  0.22981297292873  0.2043
64 S 1318  0.188018  0.188020  0.208920  0.20891491113912  0.2348
65 N 1358  0.605757  0.595383  0.866883  0.86684372449423  0.6886
U = 669575 39.89469575 39.88759575 40.30289575 40.2972635013559600 40.0915
TopMain

On-lead highest make = O

Highest makable strain-tricks at double-dummy if on lead

ValueNorthSouthWestEastEmpirical
 0 —00001241472  0.0002
 1 C 100003239939  0.0005
 2 D 1001  0.01041  0.01049447300  0.0015
 3 H 1000021574362  0.0034
 4 S 11  0.01041  0.01041  0.01041  0.010442527988  0.0067
 5 N 11  0.010401  0.01041  0.010426388851  0.0042
 6 C 22  0.02091  0.01041  0.01041  0.010484995416  0.0134
 7 D 22  0.02092  0.02093  0.03133  0.0313142224249  0.0224
 8 H 24  0.04183  0.03136  0.06276  0.0627231292299  0.0364
 9 S 25  0.05226  0.06276  0.06277  0.0731363266834  0.0572
10 N 23  0.03133  0.03131  0.01041  0.0104127432564  0.0201
11 C 34  0.04186  0.06273  0.03134  0.0418493076363  0.0776
12 D 317  0.177518  0.18809  0.09407  0.0731693513539  0.1092
13 H 317  0.177520  0.208911  0.114912  0.12531000823292  0.1576
14 S 326  0.271521  0.219314  0.146216  0.16711395369165  0.2197
15 N 35  0.05227  0.07315  0.05226  0.0627517057969  0.0814
16 C 424  0.250726  0.271524  0.250724  0.25071644254032  0.2589
17 D 441  0.428239  0.407330  0.313329  0.30292174377737  0.3424
18 H 448  0.501345  0.470035  0.365535  0.36552890268054  0.4552
19 S 464  0.668462  0.647562  0.647558  0.60573825111648  0.6024
20 N 422  0.229822  0.229820  0.208922  0.22981603391433  0.2525
21 C 572  0.752074  0.772857  0.595349  0.51173998705776  0.6297
22 D 574  0.772874  0.772888  0.919183  0.86685059967561  0.7968
23 H 589  0.929591  0.950494  0.981788  0.91916444920473  1.0149
24 S 5118  1.2324120  1.2533131  1.3681127  1.32648171172220  1.2868
25 N 562  0.647565  0.678972  0.752073  0.76243680646693  0.5796
26 C 6130  1.3577124  1.2950109  1.1384107  1.11757757580348  1.2216
27 D 6151  1.5770148  1.5457133  1.3890134  1.39959525027771  1.5000
28 H 6189  1.9739193  2.0157177  1.8486184  1.921711764658491  1.8527
29 S 6208  2.1723204  2.1305232  2.4230232  2.423014509280677  2.2849
30 N 699  1.0339103  1.075773  0.762479  0.82516740920718  1.0615
31 C 7177  1.8486187  1.9530176  1.8381182  1.900812379732192  1.9495
32 D 7223  2.3290218  2.2768214  2.2350220  2.297714970987161  2.3576
33 H 7250  2.6110247  2.5796285  2.9765293  3.060118071185110  2.8458
34 S 7330  3.4465338  3.5300339  3.5405344  3.592721830271641  3.4378
35 N 7174  1.8172179  1.8695167  1.7441157  1.639711424585988  1.7991
36 C 8234  2.4439228  2.3812274  2.8616274  2.861616339498138  2.5731
37 D 8307  3.2063311  3.2480264  2.7572262  2.736319709383181  3.1038
38 H 8392  4.0940383  4.0000370  3.8642363  3.791123605758352  3.7174
39 S 8445  4.6475439  4.5849429  4.4804430  4.490928085928185  4.4229
40 N 8252  2.6319249  2.6005229  2.3916231  2.412516270929517  2.5623
41 C 9288  3.0078274  2.8616233  2.4334230  2.402117610462720  2.7732
42 D 9311  3.2480316  3.3003331  3.4569331  3.456921330730539  3.3591
43 H 9385  4.0209389  4.0627399  4.1671403  4.208925409571822  4.0014
44 S 9470  4.9086472  4.9295442  4.6162440  4.595330048695498  4.7320
45 N 9303  3.1645304  3.1749326  3.4047331  3.456920125215758  3.1693
46 C 10233  2.4334238  2.4856216  2.2559214  2.235015180947336  2.3906
47 D 10262  2.7363261  2.7258278  2.9034265  2.767618360372398  2.8913
48 H 10317  3.3107312  3.2585338  3.5300341  3.561421797024413  3.4325
49 S 10378  3.9478396  4.1358365  3.8120358  3.738925500986557  4.0158
50 N 10357  3.7285359  3.7493335  3.4987344  3.592722971290435  3.6174
51 C 11147  1.5352152  1.5875141  1.4726148  1.545710149896990  1.5984
52 D 11170  1.7755172  1.7963180  1.8799179  1.869512077115810  1.9019
53 H 11213  2.2245214  2.2350229  2.3916223  2.329014119413033  2.2235
54 S 11217  2.2663207  2.1619252  2.6319263  2.746716390731570  2.5812
55 N 11327  3.4151332  3.4674348  3.6345341  3.561422941283147  3.6127
56 C 1276  0.793770  0.731179  0.825180  0.83555500720419  0.8662
57 D 1293  0.971388  0.919196  1.002699  1.03396227026988  0.9806
58 H 12111  1.1593100  1.0444113  1.1802109  1.13847033151127  1.1076
59 S 12127  1.3264129  1.3473112  1.1697111  1.15937852931458  1.2367
60 N 12273  2.8512279  2.9138296  3.0914302  3.154017849476370  2.8109
61 C 1330  0.313330  0.313344  0.459541  0.42822037906651  0.3209
62 D 1331  0.323829  0.302935  0.365536  0.37602187019556  0.3444
63 H 1333  0.344632  0.334234  0.355134  0.35512314542960  0.3645
64 S 1331  0.323830  0.313328  0.292425  0.26112451437963  0.3860
65 N 13130  1.3577133  1.3890179  1.8695181  1.89039913593383  1.5612
U = 669575 41.78499575 41.77749575 42.22209575 42.2374635013559600 42.0216
TopMain

Best scoring make = B

Best scoring undoubled makable contract at double-dummy

ValueNorthSouthWestEastEmpirical
 0 —1808 18.88251809 18.89301780 18.59011777 18.5587119358998783 18.7963
 1 1 C233  2.4334231  2.4125221  2.3081222  2.318515075437352  2.3740
 2 1 D299  3.1227291  3.0392272  2.8407275  2.872117958650211  2.8281
 3 1 H308  3.2167311  3.2480335  3.4987337  3.519621361994439  3.3640
 4 1 S386  4.0313400  4.1775379  3.9582383  4.000025528480621  4.0201
 5 1 N144  1.5039146  1.5248124  1.2950130  1.35779154206126  1.4416
 6 2 C266  2.7781261  2.7258307  3.2063311  3.248018791511418  2.9592
 7 2 D348  3.6345355  3.7076293  3.0601289  3.018322088800625  3.4785
 8 2 H418  4.3655422  4.4073388  4.0522379  3.958226002102208  4.0947
 9 2 S479  5.0026463  4.8355458  4.7833464  4.846030496109913  4.8024
10 3 C250  2.6110247  2.5796217  2.2663217  2.266315168880833  2.3887
11 3 D246  2.5692247  2.5796253  2.6423252  2.631917647767441  2.7791
12 2 N327  3.4151343  3.5822309  3.2272302  3.154021192170146  3.3373
13 4 C131  1.3681137  1.4308133  1.3890130  1.35778352078922  1.3153
14 4 D125  1.3055131  1.3681164  1.7128172  1.796310306791805  1.6231
15 3 H446  4.6580425  4.4386479  5.0026475  4.960830412174290  4.7892
16 3 S522  5.4517515  5.3786536  5.5979529  5.524835369266210  5.5698
17 3 N338  3.5300339  3.5405329  3.4360329  3.436021621810315  3.4049
18 5 C60  0.626659  0.616265  0.678967  0.69974918954504  0.7746
19 5 D97  1.013199  1.033973  0.762478  0.81466307419874  0.9933
20 4 H367  3.8329365  3.8120379  3.9582375  3.916424619813919  3.8771
21 4 S463  4.8355458  4.7833418  4.3655413  4.313328756868129  4.5285
22 4 N285  2.9765289  3.0183271  2.8303266  2.778119299318906  3.0392
23 5 H212  2.2141214  2.2350239  2.4961241  2.517014305376462  2.2528
24 5 S246  2.5692243  2.5379266  2.7781274  2.861616882127404  2.6585
25 5 N165  1.7232173  1.8068183  1.9112187  1.953012637216524  1.9901
26 6 C54  0.564054  0.564071  0.741573  0.76244042066459  0.6365
27 6 D83  0.866879  0.825178  0.814683  0.86684996576787  0.7868
28 6 H89  0.929588  0.919194  0.981795  0.99226084938998  0.9582
29 6 S120  1.2533114  1.1906120  1.2533117  1.22197241748711  1.1404
30 6 N140  1.4621145  1.5144175  1.8277169  1.76509797000990  1.5428
31 7 C15  0.156715  0.156722  0.229821  0.2193950467974  0.1497
32 7 D10  0.104412  0.125320  0.208918  0.18801125576093  0.1773
33 7 H19  0.198420  0.208921  0.219322  0.22981297292873  0.2043
34 7 S18  0.188018  0.188020  0.208920  0.20891491113912  0.2348
35 7 N58  0.605757  0.595383  0.866883  0.86684372449423  0.6886
U = 369575 11.29089575 11.28329575 11.62539575 11.6151635013559600 11.4347
TopMain

Par None vul

Par scores if neither side is vulnerable
25 of 38 valid par scores are possible

ScoreNorth-South PlusWest-East PlusAbsolute Times
 0 0000
 1 70000
 2 8019  0.40147  0.144626  0.2715
 3 90151  3.1904126  2.6022277  2.8930
 4 100775 16.3744740 15.28291515 15.8225
 5 110198  4.1834210  4.3371408  4.2611
 6 120201  4.2468194  4.0066395  4.1253
 7 130180  3.8031187  3.8620367  3.8329
 8 140493 10.4162581 11.99921074 11.2167
10 300248  5.2398242  4.9979490  5.1175
11 400406  8.5781362  7.4762768  8.0209
12 420561 11.8529542 11.19371103 11.5196
13 430288  6.0849276  5.7001564  5.8903
14 450412  8.7048459  9.4796871  9.0966
15 460181  3.8242196  4.0479377  3.9373
16 50022  0.464824  0.495746  0.4804
22 80048  1.014247  0.970795  0.9922
23 920102  2.1551116  2.3957218  2.2768
24 980177  3.7397186  3.8414363  3.7911
25 990150  3.1692185  3.8207335  3.4987
26 11003  0.06348  0.165211  0.1149
28 14005  0.10568  0.165213  0.1358
30 144020  0.422628  0.578348  0.5013
31 151035  0.739535  0.722870  0.7311
32 152058  1.225483  1.7142141  1.4726
U = 254733 11.07274842 11.47699575 11.2771
TopMain

Par N-S vul

Par scores if only N-S are vulnerable
All 38 valid par scores are possible

ScoreNorth-South PlusWest-East PlusAbsolute Times
 0 0000
 1 70000
 2 8019  0.40147  0.144626  0.2715
 3 90151  3.1904126  2.6022277  2.8930
 4 100775 16.37440775  8.0940
 5 110198  4.1834488 10.0785686  7.1645
 6 120201  4.2468255  5.2664456  4.7624
 7 130180  3.8031243  5.0186423  4.4178
 8 140493 10.4162797 16.46011290 13.4726
 9 2000129  2.6642129  1.3473
10 300248  5.23980248  2.5901
11 4000428  8.8393428  4.4700
12 4200664 13.7133664  6.9347
13 4300289  5.9686289  3.0183
14 4500493 10.1817493  5.1488
15 4600197  4.0686197  2.0574
16 500422  8.91616  0.1239428  4.4700
17 600289  6.10610289  3.0183
18 620368  7.77520368  3.8433
19 630255  5.38770255  2.6632
20 650358  7.56390358  3.7389
21 660178  3.76080178  1.8590
22 80048  1.014224  0.495772  0.7520
23 9200141  2.9120141  1.4726
24 9800203  4.1925203  2.1201
25 9900187  3.8620187  1.9530
26 110072  1.52123  0.062075  0.7833
27 137077  1.6269077  0.8042
28 140067  1.41568  0.165275  0.7833
29 143087  1.8382087  0.9086
30 1440134  2.831232  0.6609166  1.7337
31 1510039  0.805539  0.4073
32 1520083  1.714283  0.8668
33 17007  0.147907  0.0731
34 20006  0.126806  0.0627
35 214013  0.2747013  0.1358
36 221029  0.6127029  0.3029
37 222058  1.2254058  0.6057
U = 384733 13.73534842 12.06759575 12.8919
TopMain

Par E-W vul

Par scores if only E-W are vulnerable
All 38 valid par scores are possible

ScoreNorth-South PlusWest-East PlusAbsolute Times
 0 0000
 1 70000
 2 8019  0.40147  0.144626  0.2715
 3 90151  3.1904126  2.6022277  2.8930
 4 1000740 15.2829740  7.7285
 5 110513 10.8388210  4.3371723  7.5509
 6 120286  6.0427194  4.0066480  5.0131
 7 130216  4.5637187  3.8620403  4.2089
 8 140708 14.9588581 11.99921289 13.4621
 9 200124  2.61990124  1.2950
10 3000242  4.9979242  2.5274
11 400467  9.86690467  4.8773
12 420703 14.85320703  7.3420
13 430300  6.33850300  3.1332
14 450439  9.27530439  4.5849
15 460181  3.82420181  1.8903
16 5006  0.1268435  8.9839441  4.6057
17 6000243  5.0186243  2.5379
18 6200359  7.4143359  3.7493
19 6300249  5.1425249  2.6005
20 6500384  7.9306384  4.0104
21 6600189  3.9033189  1.9739
22 80022  0.464847  0.970769  0.7206
23 920126  2.66220126  1.3159
24 980197  4.16230197  2.0574
25 990153  3.23260153  1.5979
26 11001  0.021179  1.631680  0.8355
27 1370095  1.962095  0.9922
28 14003  0.063468  1.404471  0.7415
29 14300106  2.1892106  1.1070
30 144024  0.5071155  3.2012179  1.8695
31 151036  0.7606036  0.3760
32 152058  1.2254058  0.6057
33 1700011  0.227211  0.1149
34 200006  0.12396  0.0627
35 2140014  0.289114  0.1462
36 2210032  0.660932  0.3342
37 2220083  1.714283  0.8668
U = 384733 11.66934842 14.13409575 12.9157
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Par Both vul

Par scores if both sides are vulnerable
26 of 38 valid par scores are possible

ScoreNorth-South PlusWest-East PlusAbsolute Times
 0 0000
 1 70000
 2 8019  0.40147  0.144626  0.2715
 3 90151  3.1904126  2.6022277  2.8930
 5 110513 10.8388488 10.07851001 10.4543
 6 120286  6.0427255  5.2664541  5.6501
 7 130216  4.5637243  5.0186459  4.7937
 8 140708 14.9588797 16.46011505 15.7180
 9 200124  2.6199129  2.6642253  2.6423
16 500248  5.2398242  4.9979490  5.1175
17 600406  8.5781362  7.4762768  8.0209
18 620561 11.8529542 11.19371103 11.5196
19 630288  6.0849276  5.7001564  5.8903
20 650412  8.7048459  9.4796871  9.0966
21 660181  3.8242196  4.0479377  3.9373
22 80022  0.464824  0.495746  0.4804
26 110048  1.014247  0.970795  0.9922
27 1370102  2.1551116  2.3957218  2.2768
28 140047  0.993058  1.1979105  1.0966
29 1430137  2.8946147  3.0359284  2.9661
30 1440146  3.0847174  3.5936320  3.3420
33 17005  0.10568  0.165213  0.1358
34 20007  0.147911  0.227218  0.1880
35 214016  0.338118  0.371734  0.3551
36 221032  0.676134  0.702266  0.6893
37 222058  1.225483  1.7142141  1.4726
U = 264733 14.78154842 15.17439575 14.9802
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LoTT 14 trumps

Total tricks with 14 total trumps in four cases:
1. Longest* fit declared by longer** hand
2. Longest* fit always right-sided
3. Best producing fit declared by longer** hand
4. Best producing fit always right-sided
  *with equal-length the more productive fit is chosen
  **or stronger hand with equal length

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
121  0.0993000
13104 10.327782  8.143093  9.235469  6.8520
14477 47.3684454 45.0844482 47.8649464 46.0775
15353 35.0546387 38.4310356 35.3525385 38.2324
1668  6.752780  7.944472  7.150085  8.4409
173  0.29793  0.29793  0.29793  0.2979
180000
190000
201  0.09931  0.09931  0.09931  0.0993
U = 91007 14.39521007 14.47671007 14.41911007 14.4975
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LoTT 15 trumps

As previous but with 15 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
122  0.19692  0.196900
1310  0.98438  0.78748  0.78744  0.3937
14147 14.4685119 11.7126152 14.9606124 12.2047
15493 48.5236494 48.6220492 48.4252495 48.7205
16312 30.7087334 32.8740311 30.6102333 32.7756
1748  4.724455  5.413449  4.822856  5.5118
184  0.39374  0.39374  0.39374  0.3937
U = 71016 15.24311016 15.31001016 15.24901016 15.3199
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LoTT 16 trumps

As previous but with 16 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
123  0.11773  0.117700
1314  0.549512  0.47104  0.15702  0.0785
1493  3.649980  3.139773  2.865055  2.1586
15544 21.3501505 19.8195532 20.8791496 19.4662
161071 42.03301068 41.91521107 43.44581093 42.8964
17641 25.1570677 26.5699645 25.3140694 27.2370
18157  6.1617175  6.8681160  6.2794180  7.0644
1922  0.863425  0.981225  0.981225  0.9812
202  0.07852  0.07851  0.03922  0.0785
210000
221  0.03921  0.03921  0.03921  0.0392
U = 112548 16.09852548 16.15822548 16.14132548 16.2084
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LoTT 17 trumps

As previous but with 17 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
101  0.04431  0.044300
110000
120000
134  0.17723  0.13291  0.04431  0.0443
1414  0.620313  0.57607  0.31016  0.2658
15112  4.962399  4.3864102  4.519388  3.8990
16488 21.6216461 20.4253489 21.6659452 20.0266
17888 39.3443887 39.3000897 39.7430904 40.0532
18569 25.2105596 26.4067581 25.7421606 26.8498
19162  7.1777177  7.8423161  7.1334180  7.9752
2019  0.841820  0.886119  0.841820  0.8861
U = 112257 17.07672257 17.12982257 17.10722257 17.1666
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LoTT 18 trumps

As previous but with 18 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1510  0.67848  0.54278  0.54277  0.4749
1699  6.716490  6.105889  6.038080  5.4274
17355 24.0841346 23.4735342 23.2022330 22.3881
18553 37.5170551 37.3813561 38.0597556 37.7205
19313 21.2347318 21.5739328 22.2524336 22.7951
20116  7.8697130  8.8195115  7.8019133  9.0231
2127  1.831828  1.899629  1.967427  1.8318
2202  0.13571  0.06784  0.2714
231  0.06781  0.06781  0.06781  0.0678
U = 91474 18.03261474 18.08481474 18.07461474 18.1309
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LoTT 19 trumps

As previous but with 19 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1612  1.430310  1.191913  1.549510  1.1919
17103 12.276599 11.799887 10.369584 10.0119
18235 28.0095226 26.9368240 28.6055227 27.0560
19269 32.0620269 32.0620263 31.3468271 32.3004
20169 20.1430180 21.4541181 21.5733189 22.5268
2145  5.363546  5.482748  5.721149  5.8403
225  0.59598  0.95356  0.71518  0.9535
231  0.11921  0.11921  0.11921  0.1192
U = 8839 18.7628839 18.8164839 18.8164839 18.8689
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LoTT 20 trumps

As previous but with 20 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1713  4.347813  4.34788  2.67568  2.6756
1855 18.394653 17.725850 16.722449 16.3880
1988 29.431487 29.097093 31.103791 30.4348
2084 28.093682 27.424787 29.097083 27.7592
2141 13.712442 14.046841 13.712445 15.0502
2215  5.016717  5.685617  5.685617  5.6856
233  1.00335  1.67223  1.00336  2.0067
U = 7299 19.4749299 19.5284299 19.5552299 19.6120
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LoTT 21 trumps

As previous but with 21 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
171  0.9259000
1810  9.259310  9.25938  7.40748  7.4074
1920 18.518520 18.518521 19.444420 18.5185
2037 34.259338 35.185239 36.111139 36.1111
2125 23.148123 21.296325 23.148123 21.2963
2213 12.037014 12.963012 11.111114 12.9630
232  1.85193  2.77782  1.85193  2.7778
24001  0.92591  0.9259
U = 8108 20.1296108 20.1852108 20.2037108 20.2593
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LoTT 22 trumps

As previous but with 22 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
181  4.34781  4.34781  4.34781  4.3478
195 21.73915 21.73915 21.73915 21.7391
205 21.73915 21.73915 21.73914 17.3913
217 30.43487 30.43486 26.08707 30.4348
222  8.69572  8.69573 13.04353 13.0435
232  8.69572  8.69572  8.69572  8.6957
241  4.347801  4.34780
2501  4.347801  4.3478
U = 823 20.608723 20.652223 20.652223 20.7391
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LoTT 23 trumps

As previous but with 23 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
201 25.00001 25.00001 25.00001 25.0000
212 50.00002 50.00002 50.00002 50.0000
221 25.00001 25.00001 25.00001 25.0000
U = 34 21.00004 21.00004 21.00004 21.0000
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LoTT 24 trumps

As previous but with 24 total trumps

No data available TopMain

LoTT 25 trumps

As previous but with 25 total trumps

No data available

Double-dummy stats for 9,575 deals

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© 2018 Richard Pavlicek