Stats 8H30   Main


RP BBO Matches


  by Richard Pavlicek

Double-dummy stats for 51,475 deals

Tables 1-12 list all possible values of each statistic, with the number of occurrences and percent for North, South, West and East. The last column shows the empirical expectation, based on collected evidence (exact calculation is impossible). The bottom line shows the number of unique values (table rows), the total number of occurrences, and the average (mean) value. The remaining tables show statistics about par scores and the Law of Total Tricks.

MsmhmdmcmlflmbfbmHOBPar Z N E BLoTT 14 15 16 17 18 19 20 21 22

Percents and averages are rounded to four places (unless zero which is shown as a single digit). The most frequent occurrence (mode) is tinted gold, the second-most a paler gold, and the third-most even paler.

Notrump make = M

Winnable tricks at double-dummy in notrump

ValueNorthSouthWestEastEmpirical
08881.72518821.71358241.60088251.602799135933831.5612
119683.823219613.809619243.737719283.7455231457626773.6449
230725.967930986.018529195.670729235.6785379779320675.9806
343048.361343168.384742648.283642758.3050528710698468.3260
4557010.8208553310.7489544010.5682540910.50806752419474210.6335
5644012.5109639212.4177638012.3944637012.37498010171462812.6142
6728814.1583732214.2244752614.6207753014.62859073044133214.2880
7682813.2647680613.2220668812.9927674313.09968440215867213.2914
8570411.0811574511.1608570511.0831569311.05977123710456811.2182
938477.473538667.510439247.623139447.6620477020495637.5120
1026135.076326135.076327175.278326825.2103325690654405.1289
1115723.053915573.024817123.325917003.3026206008660923.2442
1210011.944610061.954310352.010710352.0107118651571671.8685
133800.73823780.73434170.81014180.812043724494230.6886
14514755.9768514755.9790514756.0415514756.03946350135596006.0066

Stats 8H30   MainTop   RP BBO Matches

Spade make = sm

Winnable tricks at double-dummy with spades trump

ValueNorthSouthWestEastEmpirical
05931.15205931.15205621.09185571.082169498930151.0944
114872.888814912.896614402.797514522.8208176468174122.7790
227945.427927705.381326105.070426085.0665329924528295.1956
340797.924240967.957340727.910640857.9359504766525427.9489
4544310.5741545610.5993533310.3604530110.29826637297543810.4522
5631012.2584629912.2370636512.3652638512.40417782192531512.2552
6667412.9655663512.8898651112.6489651112.64898255185434513.0000
7641812.4682640812.4488645712.5440645312.53628076082273712.7180
8595711.5726602311.7008600011.6561601411.68337346563395411.5691
947959.315247749.274449569.628049619.6377604891624829.5256
1035736.941235656.925735846.962635606.9160436617506886.8757
1120543.990320824.044722704.409922584.3866263777875484.1539
1210281.997110201.981510261.993210442.0282121285271361.9100
132700.52452630.51092890.56142860.555633173041590.5224
14514756.2668514756.2684514756.3289514756.32806350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Heart make = hm

Winnable tricks at double-dummy with hearts trump

ValueNorthSouthWestEastEmpirical
06021.16955971.15986041.17345941.154069498930151.0944
114762.867414792.873214362.789714472.8111176468174122.7790
227135.270526945.233625865.023825674.9869329924528295.1956
341698.099142038.165140607.887340827.9301504766525427.9489
4540710.5041537910.4497540310.4964539810.48666637297543810.4522
5629612.2312629212.2234630512.2487626312.16717782192531512.2552
6664312.9053662712.8742660212.8256663512.88988255185434513.0000
7649712.6217651812.6625645112.5323648412.59648076082273712.7180
8585911.3822587211.4075601411.6833599611.64847346563395411.5691
949249.565849209.558049109.538649339.5833604891624829.5256
1035146.826635196.836335966.985935796.9529436617506886.8757
1120664.013620714.023321534.182621474.1710263777875484.1539
1210251.991310181.977710552.049510482.0359121285271361.9100
132840.55172860.55563000.58283020.586733173041590.5224
14514756.2729514756.2749514756.3176514756.31776350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Diamond make = dm

Winnable tricks at double-dummy with diamonds trump

ValueNorthSouthWestEastEmpirical
06471.25696491.26085421.05295501.068569498930151.0944
114712.857714672.849914352.787814262.7703176468174122.7790
227055.255026965.237526235.095726265.1015329924528295.1956
342068.171041868.132140047.778540267.8213504766525427.9489
4532910.3526536510.4225534210.3779533110.35656637297543810.4522
5619912.0427620712.0583642412.4798640812.44887782192531512.2552
6669112.9985667712.9713662512.8703661112.84318255185434513.0000
7659712.8159657512.7732657012.7635658812.79848076082273712.7180
8604911.7513601711.6892579811.2637584911.36287346563395411.5691
947989.321048659.451249709.655249089.5347604891624829.5256
1034326.667334396.680935736.941235726.9393436617506886.8757
1120984.075820724.025322104.293322164.3050263777875484.1539
1210061.954310101.962110332.006810402.0204121285271361.9100
132470.47982500.48573260.63333240.629433173041590.5224
14514756.2630514756.2646514756.3275514756.32646350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Club make = cm

Winnable tricks at double-dummy with clubs trump

ValueNorthSouthWestEastEmpirical
06161.19676281.22006011.16765991.163769498930151.0944
115412.993715092.931514022.723713972.7139176468174122.7790
226165.082126395.126826645.175326745.1948329924528295.1956
339697.710539937.757240437.854340647.8951504766525427.9489
4544510.5780541810.5255525810.2147524010.17976637297543810.4522
5651812.6625650812.6430623012.1030622612.09527782192531512.2552
6661612.8528657912.7810666612.9500667312.96368255185434513.0000
7671013.0355673713.0879655812.7402653412.69358076082273712.7180
8576711.2035576111.1918616411.9747617912.00397346563395411.5691
947489.223947699.264749119.540649139.5444604891624829.5256
1035386.873235486.892734596.719834666.7334436617506886.8757
1121034.085521034.085521004.079721054.0894263777875484.1539
1210201.981510191.979611032.142810922.1214121285271361.9100
132680.52062640.51293160.61393130.608133173041590.5224
14514756.2714514756.2728514756.3232514756.32236350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Longest fit = lf

Number of cards in longest trump fit

ValueNorthSouthWestEastTheoretical (exact)
7815915.8504815915.8504825116.0291825116.02911300649843750415.7363
82354245.73482354245.73482338545.42982338545.42983780937365390945.7447
91440327.98061440327.98061458328.33031458328.33032322544099232528.0999
1044438.631444438.631443458.441043458.441071684010398008.6729
118541.65918541.65918151.58338151.583313072274350201.5816
12700.1360700.1360930.1807930.18071307323158310.1582
1340.007840.007830.005830.005854149502950.0066
7514758.3495514758.3495514758.3468514758.3468826530888246848.3512

Stats 8H30   MainTop   RP BBO Matches

Longest fit make = lm

Winnable tricks at double-dummy with longest fit trumps

ValueNorthSouthWestEastEmpirical
030.005830.005840.007830.0058228763940.0036
1220.0427240.0466190.0369200.03892512466910.0396
21490.28951430.27781390.27001370.266115561246560.2451
34840.94034840.94034870.94614870.946158927227890.9280
413752.671213922.704213512.624613512.6246164098835472.5842
530665.956330475.919429475.725129545.7387356432984555.6130
650159.742649679.649348199.361848129.3482620312562339.7685
7742414.4225744814.4692715413.8980716813.92528999974419014.1729
8888017.2511889617.2822886917.2297887917.249211009984284917.3382
9897817.4415898317.4512923517.9407922217.915511317316747117.8222
10777815.1102780615.1646775415.0636775215.05979591976422515.1052
1150009.713549879.6882521810.1370520610.11366415044902410.1022
1225975.045225925.035526635.173426755.1967311125613464.8995
137041.36777031.36578161.58528091.571687506217301.3780
14514758.3458514758.3473514758.4013514758.40046350135596008.3753

Stats 8H30   MainTop   RP BBO Matches

Best fit = bf

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

ValueNorthSouthWestEastEmpirical
530.005830.005820.003920.0039104616730.0016
6940.1826820.1593940.1826960.186512220778350.1924
7861816.7421861116.7285866316.8295867016.843110535121225516.5904
82329245.24922330845.28022314944.97132313444.942228723408943645.2327
91412427.43861413427.45801435227.88151435827.893217543724513327.6273
1044238.592544188.582843108.373043108.3730547010147898.6141
118471.64558451.64168091.57168091.5716100081874981.5761
12700.1360700.1360930.1807930.180710063644960.1585
1340.007840.007830.005830.0058429064850.0068
9514758.3302514758.3307514758.3289514758.32886350135596008.3327

Stats 8H30   MainTop   RP BBO Matches

Best fit make = bm

Winnable tricks at double-dummy with most productive fit trumps

ValueNorthSouthWestEastEmpirical
010.001910.0019000015139900.0002
1150.0291160.0311140.0272140.02721322319130.0208
21380.26811340.26031160.22541110.215613396240420.2110
34670.90724670.90724770.92674800.932556710897480.8931
413272.578013352.593513272.578013182.5605161775920152.5476
530495.923330455.915529405.711529585.7465354151855365.5771
650019.715449569.628047869.297747759.2763617759369089.7283
7741414.4031743614.4458714813.8864716313.91558971132903714.1275
8885717.2064885817.2084885017.1928885917.210310996282672717.3166
9901417.5114902317.5289923617.9427922517.921311330508144617.8429
10777515.1044781015.1724778515.1238777315.10059618745285115.1473
1150349.779550229.7562523210.1642523310.16616454782605910.1648
1226435.134526365.120927185.280227255.2938316465305874.9836
137401.43767361.42988461.64358411.633891393387411.4392
14514758.3651514758.3662514758.4192514758.41876350135596008.3938

Stats 8H30   MainTop   RP BBO Matches

Highest make = H

Highest makable strain-tricks at double-dummy

ValueNorthSouthWestEastEmpirical
None = 010.001910.0019000015139900.0002
C 1 = 1000020.003920.003940272140.0006
D 1 = 220.003930.005820.003920.0039116123060.0018
H 1 = 320.003920.003920.003920.0039258740940.0041
S 1 = 480.015580.015540.007840.0078532318990.0084
N 1 = 530.005830.005840.007840.0078369565030.0058
C 2 = 680.015580.0155110.0214120.02331203168100.0189
D 2 = 7220.0427200.0389190.0369190.03691986355280.0313
H 2 = 8320.0622340.0661320.0622300.05833266282690.0514
S 2 = 9560.1088540.1049390.0758370.07195009188330.0789
N 2 = 10190.0369170.0330140.0272120.02331851458750.0292
C 3 = 11520.1010490.0952550.1068540.10497089865200.1116
D 3 = 12890.1729930.18071030.20011060.20599986582860.1573
H 3 = 131120.21761080.20981070.20791070.207913953388860.2197
S 3 = 141540.29921570.30501530.29721540.299219101258690.3008
N 3 = 15560.1088560.1088540.1049560.10886005091150.0946
C 4 = 162050.39832100.40801880.36521840.357522892290420.3605
D 4 = 172390.46432350.45652460.47792500.485729946122650.4716
H 4 = 183040.59063000.58283190.61973190.619739039754030.6148
S 4 = 194140.80434230.82184170.81014110.798450810120260.8001
N 4 = 201480.28751470.28561400.27201390.270017133222700.2698
C 5 = 215321.03355151.00054300.83544330.841253908350020.8489
D 5 = 226201.20456241.21225721.11125721.111267655836201.0654
H 5 = 237121.38327271.41236981.35607041.367784987694421.3384
S 5 = 248401.63198311.61448961.74078971.7426106023984131.6696
N 5 = 253180.61783310.64303120.60613150.611937903504300.5969
C 6 = 268381.62808371.62607511.45907491.455199666436031.5695
D 6 = 279861.91559631.87089291.80489391.8242121097120211.9070
H 6 = 2811812.294311722.276811672.267111622.2574147291120692.3195
S 6 = 2914452.807214482.813014162.750814042.7275179102025212.8204
N 6 = 305090.98884880.94804950.96164990.969465347606581.0291
C 7 = 3112932.511912842.494412282.385612482.4245150754373522.3740
D 7 = 3215112.935415132.939314442.805214362.7897179586502112.8281
H 7 = 3317373.374517533.405516713.246216883.2793213619944393.3640
S 7 = 3420293.941720433.968920553.992220263.9359255284806214.0201
N 7 = 357631.48237711.49787051.36967171.392991542061251.4416
C 8 = 3615072.927615132.939315813.071415773.0636187915114182.9592
D 8 = 3717723.442417953.487116783.259816843.2715220888006253.4785
H 8 = 3821074.093221184.114621454.167121284.1340260021022084.0947
S 8 = 3924844.825624574.773224674.792624944.8451304961099134.8024
N 8 = 409791.90199671.87869321.81069211.7892121734661531.9170
C 9 = 4114972.908214852.884915042.921815262.9645191553989883.0165
D 9 = 4217563.411417853.467718723.636718463.5862226799532803.5716
H 9 = 4321824.239021634.202022074.287522114.2953266450030524.1960
S 9 = 4424874.831524994.854825474.948025394.9325311169216384.9002
N 9 = 4510882.113610922.121411382.210811352.2050137764185292.1695
C 10 = 4612912.508013202.564412642.455612552.4381156781266132.4689
D 10 = 4715032.919914912.896615493.009215663.0423188456517112.9678
H 10 = 4817763.450217823.461917563.411417723.4424223463303763.5190
S 10 = 4921504.176821404.157421234.124321284.1340262137580534.1281
N 10 = 5011272.189411302.195211322.199110952.1272137309534012.1623
C 11 = 517521.46097461.44927291.41627221.402696972895881.5271
D 11 = 529261.79899151.77769551.85539671.8786119140439141.8762
H 11 = 5311252.185511232.181611282.191411242.1836143053764622.2528
S 11 = 5413222.568213462.614914792.873214692.8538168821274042.6585
N 11 = 559731.89029571.859210041.950510121.9660126372165241.9901
C 12 = 563530.68583450.67023710.72073680.714940420664590.6365
D 12 = 573800.73823840.74604150.80624250.825649965767870.7868
H 12 = 585090.98885110.99275251.01995130.996660849389980.9582
S 12 = 595931.15205821.13065841.13455941.154072417487111.1404
N 12 = 608411.63388541.65918511.65328601.670797970009901.5428
C 13 = 61750.1457690.1340960.1865940.18269504679740.1497
D 13 = 62810.1574820.15931010.1962970.188411255760930.1773
H 13 = 631000.19431020.19821180.22921190.231212972928730.2043
S 13 = 641190.23121160.22541270.24671230.239014911139120.2348
N 13 = 653800.73823780.73434170.81014180.812043724494230.6886
665147539.94605147539.94835147540.21745147540.213263501355960040.0915

Stats 8H30   MainTop   RP BBO Matches

On-lead highest make = O

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

ValueNorthSouthWestEastEmpirical
None = 010.001910.0019000012414720.0002
C 1 = 1000020.003920.003932399390.0005
D 1 = 220.003920.003920.003920.003994473000.0015
H 1 = 320.003920.003920.003920.0039215743620.0034
S 1 = 480.015580.015530.005830.0058425279880.0067
N 1 = 530.005820.003940.007830.0058263888510.0042
C 2 = 660.011750.009770.013660.0117849954160.0134
D 2 = 7130.0253150.0291150.0291130.02531422242490.0224
H 2 = 8210.0408200.0389230.0447210.04082312922990.0364
S 2 = 9380.0738380.0738280.0544310.06023632668340.0572
N 2 = 10140.0272110.0214100.0194110.02141274325640.0201
C 3 = 11340.0661400.0777370.0719410.07974930763630.0776
D 3 = 12730.1418750.1457600.1166560.10886935135390.1092
H 3 = 13810.1574800.1554770.1496780.151510008232920.1576
S 3 = 141200.23311210.23511090.21181160.225413953691650.2197
N 3 = 15390.0758460.0894430.0835420.08165170579690.0814
C 4 = 161320.25641270.24671420.27591390.270016442540320.2589
D 4 = 171790.34771760.34191830.35551910.371121743777370.3424
H 4 = 182210.42932300.44682240.43522280.442928902680540.4552
S 4 = 193380.65663180.61783280.63723170.615838251116480.6024
N 4 = 201300.25251180.22921270.24671290.250616033914330.2525
C 5 = 213680.71493770.73243180.61783010.584739987057760.6297
D 5 = 224200.81594360.84704140.80434170.810150599675610.7968
H 5 = 235531.07435531.07435431.05495311.031664449204731.0149
S 5 = 246581.27836641.28996901.34056841.328881711722201.2868
N 5 = 253430.66633360.65273210.62363220.625536806466930.5796
C 6 = 266791.31916751.31136031.17146111.187077575803481.2216
D 6 = 277921.53867791.51347371.43187301.418295250277711.5000
H 6 = 289661.87669871.91749301.80679311.8086117646584911.8527
S 6 = 2911752.282711772.286511812.294311732.2788145092806772.2849
N 6 = 305181.00635241.01804950.96165000.971367409207181.0615
C 7 = 3110362.012610332.00689561.85729861.9155123797321921.9495
D 7 = 3212222.374012142.358411112.158311222.1797149709871612.3576
H 7 = 3314552.826614552.826614482.813014342.7858180711851102.8458
S 7 = 3417323.364717253.351117403.380317753.4483218302716413.4378
N 7 = 359221.79129121.77179501.84569211.7892114245859881.7991
C 8 = 3613512.624613422.607113952.710113852.6906163394981382.5731
D 8 = 3716113.129716223.151015503.011215533.0170197093831813.1038
H 8 = 3819693.825219413.770819563.799919503.7882236057583523.7174
S 8 = 3922904.448823054.477922644.398322654.4002280859281854.4229
N 8 = 4013322.587713612.644012792.484712892.5041162709295172.5623
C 9 = 4113632.647913472.616813942.708113972.7139176104627202.7732
D 9 = 4217183.337517263.353116923.287016493.2035213307305393.3591
H 9 = 4321024.083520904.060220854.050520984.0758254095718224.0014
S 9 = 4424424.744124364.732424304.720724354.7305300486954984.7320
N 9 = 4515853.079215793.067516153.137416343.1744201252157583.1693
C 10 = 4611862.304012072.344812452.418612452.4186151809473362.3906
D 10 = 4714532.822714552.826615463.003415583.0267183603723982.8913
H 10 = 4817453.390017493.397818083.512417883.4735217970244133.4325
S 10 = 4920223.928120203.924220403.963120383.9592255009865574.0158
N 10 = 5018643.621218823.656118703.632818663.6251229712904353.6174
C 11 = 518481.64748541.65917951.54447871.5289101498969901.5984
D 11 = 529561.85729621.86899691.88259531.8514120771158101.9019
H 11 = 5311162.168011072.150611472.228311552.2438141194130332.2235
S 11 = 5412942.513812882.502213742.669314082.7353163907315702.5812
N 11 = 5517983.493017943.485218183.531817843.4658229412831473.6127
C 12 = 564210.81794120.80044700.91314860.944155007204190.8662
D 12 = 574880.94804780.92864980.96755090.988862270269880.9806
H 12 = 585691.10545631.09375491.06655431.054970331511271.1076
S 12 = 596061.17736211.20646561.27446591.280278529314581.2367
N 12 = 6014632.842214712.857715012.916015152.9432178494763702.8109
C 13 = 611850.35941800.34971960.38081860.361320379066510.3209
D 13 = 621670.32441710.33222060.40022060.400221870195560.3444
H 13 = 632030.39441970.38271950.37881970.382723145429600.3645
S 13 = 642100.40802080.40411870.36331800.349724514379630.3860
N 13 = 658241.60088251.60278821.71358881.725199135933831.5612
665147541.87815147541.87825147542.13125147542.138463501355960042.0216

Stats 8H30   MainTop   RP BBO Matches

Best scoring make = B

Best scoring undoubled makable contract at double-dummy

ValueNorthSouthWestEastEmpirical
None = 0990719.2462986419.1627957718.6051957818.607111935899878318.7963
1 C = 112932.511912842.494412282.385612482.4245150754373522.3740
1 D = 215112.935415132.939314442.805214362.7897179586502112.8281
1 H = 317373.374517533.405516713.246216883.2793213619944393.3640
1 S = 420293.941720433.968920553.992220263.9359255284806214.0201
1 N = 57631.48237711.49787051.36967171.392991542061261.4416
2 C = 615072.927615132.939315813.071415773.0636187915114182.9592
2 D = 717723.442417953.487116783.259816843.2715220888006253.4785
2 H = 821074.093221184.114621454.167121284.1340260021022084.0947
2 S = 924844.825624574.773224674.792624944.8451304961099134.8024
3 C = 1011712.274911632.259311822.296311962.3235151688808332.3887
3 D = 1113602.642113802.680914652.846014352.7878176477674412.7791
2 N = 1217013.304516943.290916613.226816623.2288211921701463.3373
4 C = 136871.33466931.34636961.35216921.344383520789221.3153
4 D = 148191.59118231.59888391.62998511.6532103067918051.6231
3 H = 1525014.858724844.825625144.883925234.9014304121742904.7892
3 S = 1628265.490028245.486228855.604728735.5814353692662105.5698
3 N = 1717183.337517413.382217713.440517673.4327216218103153.4049
5 C = 183660.71103710.72073610.70133700.718849189545040.7746
5 D = 194970.96554940.95974890.95005030.977263074198740.9933
4 H = 2019553.798019543.796019463.780519553.7980246198139193.8771
4 S = 2123484.561423394.544023134.493423114.4896287568681294.5285
4 N = 2215653.040315553.020915863.081115453.0015192993189063.0392
5 H = 2311252.185511232.181611282.191411242.1836143053764622.2528
5 S = 2413222.568213462.614914792.873214692.8538168821274042.6585
5 N = 259731.89029571.859210041.950510121.9660126372165241.9901
6 C = 263530.68583450.67023710.72073680.714940420664590.6365
6 D = 273800.73823840.74604150.80624250.825649965767870.7868
6 H = 285090.98885110.99275251.01995130.996660849389980.9582
6 S = 295931.15205821.13065841.13455941.154072417487111.1404
6 N = 308411.63388541.65918511.65328601.670797970009901.5428
7 C = 31750.1457690.1340960.1865940.18269504679740.1497
7 D = 32810.1574820.15931010.1962970.188411255760930.1773
7 H = 331000.19431020.19821180.22921190.231212972928730.2043
7 S = 341190.23121160.22541270.24671230.239014911139120.2348
7 N = 353800.73823780.73434170.81014180.812043724494230.6886
365147511.34555147511.34505147511.57565147511.568363501355960011.4347

Stats 8H30   MainTop   RP BBO Matches

Par None vul

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

ScoreNorth-South PlusWest-East PlusAbsolute Times
0 = 0000000
70 = 120.007840.015460.0117
80 = 2690.2706610.23481300.2525
90 = 38073.16537562.909915633.0364
100 = 4412116.1640417216.0585829316.1107
110 = 511104.353811434.399522534.3769
120 = 610494.114510063.872220553.9922
130 = 79943.89889883.802919823.8504
140 = 8273510.7276286511.0277560010.8791
300 = 1013725.381413235.092426955.2356
400 = 1120768.142820737.979241498.0602
420 = 12281311.0335287911.0816569211.0578
430 = 1315606.118815766.066231366.0923
450 = 1422528.833123819.164746339.0005
460 = 1510173.989010514.045420684.0175
500 = 161190.4668990.38112180.4235
800 = 222360.92572370.91224730.9189
920 = 235802.27506222.394112022.3351
980 = 249103.56939553.675918653.6231
990 = 259273.63609353.598918623.6173
1100 = 26150.0588280.1078430.0835
1400 = 28240.0941330.1270570.1107
1440 = 301210.47461450.55812660.5168
1510 = 312050.80412280.87764330.8412
1520 = 323811.49444201.61668011.5561
252549511.20972598011.34515147511.2781

Stats 8H30   MainTop   RP BBO Matches

Par N-S vul

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

ScoreNorth-South PlusWest-East PlusAbsolute Times
0 = 0000000
70 = 120.007840.015460.0117
80 = 2690.2706610.23481300.2525
90 = 38073.16537562.909915633.0364
100 = 4412116.16400041218.0058
110 = 511104.3538273710.535038477.4735
120 = 610494.114513885.342624374.7343
130 = 79943.898812724.896122664.4021
140 = 8273510.7276405615.6120679113.1928
200 = 9007212.77527211.4007
300 = 1013725.38140013722.6654
400 = 110024519.434224514.7615
420 = 1200356713.729835676.9296
430 = 130016386.304816383.1821
450 = 140025419.780625414.9364
460 = 150010604.080110602.0593
500 = 1621908.5899260.100122164.3050
600 = 1714395.64420014392.7955
620 = 1818717.33870018713.6348
630 = 1913965.47560013962.7120
650 = 2019447.62500019443.7766
660 = 219973.9106009971.9369
800 = 222360.9257990.38113350.6508
920 = 23007312.81377311.4201
980 = 240010604.080110602.0593
990 = 25009483.64909481.8417
1100 = 264081.6003100.03854180.8120
1370 = 274261.6709004260.8276
1400 = 283531.3846280.10783810.7402
1430 = 294801.8827004800.9325
1440 = 307893.09471690.65059581.8611
1510 = 31002370.91222370.4604
1520 = 32004201.61664200.8159
1700 = 33430.168700430.0835
2000 = 34440.172600440.0855
2140 = 35610.239300610.1185
2210 = 361780.6982001780.3458
2220 = 373811.4944003810.7402
382549513.85762598011.94115147512.8903

Stats 8H30   MainTop   RP BBO Matches

Par E-W vul

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

ScoreNorth-South PlusWest-East PlusAbsolute Times
0 = 0000000
70 = 120.007840.015460.0117
80 = 2690.2706610.23481300.2525
90 = 38073.16537562.909915633.0364
100 = 400417216.058541728.1049
110 = 5272410.684411434.399538677.5124
120 = 614385.640310063.872224444.7479
130 = 712454.88339883.802922334.3380
140 = 8390915.3324286511.0277677413.1598
200 = 96932.7182006931.3463
300 = 100013235.092413232.5702
400 = 1124249.50770024244.7091
420 = 12358114.04590035816.9568
430 = 1316276.38160016273.1608
450 = 1423989.40580023984.6586
460 = 1510244.01650010241.9893
500 = 16360.141222458.641322814.4313
600 = 170014075.415714072.7334
620 = 180019087.344119083.7067
630 = 190014255.485014252.7683
650 = 200020547.906120543.9903
660 = 210010203.926110201.9815
800 = 221190.46682370.91223560.6916
920 = 236652.6084006651.2919
980 = 2410404.07920010402.0204
990 = 259383.6792009381.8222
1100 = 26100.03923831.47423930.7635
1370 = 27004761.83224760.9247
1400 = 28150.05883601.38573750.7285
1430 = 29005682.18635681.1034
1440 = 301390.54527863.02549251.7970
1510 = 312110.8276002110.4099
1520 = 323811.4944003810.7402
1700 = 3300470.1809470.0913
2000 = 3400400.1540400.0777
2140 = 3500800.3079800.1554
2210 = 36002060.79292060.4002
2220 = 37004201.61664200.8159
382549511.81542598014.02935147512.9328

Stats 8H30   MainTop   RP BBO Matches

Par Both vul

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

ScoreNorth-South PlusWest-East PlusAbsolute Times
0 = 0000000
70 = 120.007840.015460.0117
80 = 2690.2706610.23481300.2525
90 = 38073.16537562.909915633.0364
110 = 5272410.6844273710.5350546110.6090
120 = 614385.640313885.342628265.4900
130 = 712454.883312724.896125174.8898
140 = 8390915.3324405615.6120796515.4735
200 = 96932.71827212.775214142.7470
500 = 1613725.381413235.092426955.2356
600 = 1720768.142820737.979241498.0602
620 = 18281311.0335287911.0816569211.0578
630 = 1915606.118815766.066231366.0923
650 = 2022528.833123819.164746339.0005
660 = 2110173.989010514.045420684.0175
800 = 221190.4668990.38112180.4235
1100 = 262360.92572370.91224730.9189
1370 = 275802.27506222.394112022.3351
1400 = 282540.99632370.91224910.9539
1430 = 297122.79277903.040815022.9179
1440 = 308863.47528913.429617773.4522
1700 = 33240.0941330.1270570.1107
2000 = 34430.1687470.1809900.1748
2140 = 35870.34121080.41571950.3788
2210 = 361960.76882180.83914140.8043
2220 = 373811.49444201.61668011.5561
262549514.91092598015.06465147514.9885

Stats 8H30   MainTop   RP BBO Matches

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
12170.3093110.200160.109230.0546
1357710.49854488.15145179.40683867.0233
14277250.4367266948.5626279850.9098269348.9993
15178132.4054195835.6259181733.0604199136.2263
163105.64053686.69583175.76783796.8959
17370.6732400.7278390.7096420.7642
1810.018210.018210.018210.0182
1900000000
2010.018210.018210.018210.0182
9549614.3477549614.4283549614.3728549614.4536

Stats 8H30   MainTop   RP BBO Matches

LoTT 15 trumps

As previous but with 15 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1250.092340.07380000
13611.1259430.7937530.9782340.6275
1483915.485471113.122984115.522371613.2152
15261748.3020258947.7852262548.4496259347.8590
16160129.5496173732.0598160329.5866173832.0783
172604.79882965.46332614.81732995.5186
18340.6275370.6829340.6275370.6829
1910.018510.018510.018510.0185
8541815.2309541815.3018541815.2370541815.3077

Stats 8H30   MainTop   RP BBO Matches

LoTT 16 trumps

As previous but with 16 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1120.014510.00730000
12120.0872130.09440000
13770.5593640.4649200.1453140.1017
145303.84984543.29773972.88373242.3535
15281920.4765260818.9439275620.0189252218.3192
16584242.4348585142.5002598943.5026599443.5389
17350725.4740368526.7669359526.1132378227.4715
188396.09439296.74808706.31959687.0313
191240.90071451.05321250.90801461.0605
20140.1017160.1162140.1017160.1162
2100000000
2210.007310.007310.007310.0073
121376716.10541376716.16581376716.15701376716.2189

Stats 8H30   MainTop   RP BBO Matches

LoTT 17 trumps

As previous but with 17 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1010.008410.00840000
1100000000
1200000000
1370.058960.050510.008410.0084
14620.5219490.4125310.2610200.1684
155924.98365164.34385304.46174543.8219
16273923.0575257921.7106270722.7881253521.3402
17461338.8332461438.8417468139.4057468139.4057
18303025.5072319926.9299308025.9281325527.4013
197426.24638136.84407526.33058276.9619
20930.78291020.8587970.81661060.8923
111187917.05461187917.11301187917.08511187917.1448

Stats 8H30   MainTop   RP BBO Matches

LoTT 18 trumps

As previous but with 18 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1210.012510.01250000
1300000000
1440.050040.050040.050040.0500
15450.5622390.4873340.4248290.3623
165947.42135376.70915426.77164866.0720
17194424.2879185423.1634189123.6257179622.4388
18281635.1824281835.2074285535.6697286035.7321
19188423.5382197024.6127193324.1504201025.1124
205957.43386448.04606177.70866758.4333
211051.31181171.46181081.34931211.5117
22140.1749170.2124180.2249200.2499
2320.025030.037520.025030.0375
12800418.0207800418.0781800418.0600800418.1183

Stats 8H30   MainTop   RP BBO Matches

LoTT 19 trumps

As previous but with 19 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1510.023110.02310000
16591.3648491.1335501.1566410.9484
1749511.450446410.733344810.36324139.5536
18122528.3368120327.8279121928.1980119327.5966
19143333.1483143033.0789145233.5878145033.5415
2082118.991486820.078685619.801190320.8883
212525.82932626.06062575.94492726.2919
22330.7634420.9715370.8559471.0872
2340.092530.069440.092530.0694
240010.02310010.0231
10432318.7789432318.8272432318.8223432318.8758

Stats 8H30   MainTop   RP BBO Matches

LoTT 20 trumps

As previous but with 20 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1610.0564000000
17613.4386543.0440532.9876462.5930
1828816.234527815.670826915.163525914.5998
1955431.228954030.439755931.510754230.5524
2053530.157854830.890653830.326955331.1725
2124513.810625014.092425814.543426414.8816
22764.2841864.8478814.5660905.0733
23130.7328170.9583150.8455191.0710
2410.056410.056410.056410.0564
9177419.5056177419.5598177419.5564177419.6094

Stats 8H30   MainTop   RP BBO Matches

LoTT 21 trumps

As previous but with 21 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1740.654710.163720.327310.1637
18457.3650467.5286416.7103406.5466
1915926.022915725.695615926.022915725.6956
2019331.587619031.096619131.260218730.6056
2114022.913313822.585914323.404314022.9133
22528.5106609.8200518.3470619.9836
23172.7823182.9460223.6007233.7643
2410.163710.163720.327320.3273
861120.062261120.104761120.117861120.1620

Stats 8H30   MainTop   RP BBO Matches

LoTT 22 trumps

As previous but with 22 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1710.574710.574710.574710.5747
1863.448363.448342.298942.2989
192514.36782413.79312313.21842212.6437
205833.33335632.18396135.05755833.3333
214727.01154928.16094727.01155028.7356
222112.06902212.64372212.64372313.2184
23116.3218116.3218116.3218116.3218
2452.873642.298952.873642.2989
250010.57470010.5747
917420.586217420.620717420.632217420.6724

Double-dummy stats for 51,475 deals

Stats 8H30   MainTop   RP BBO Matches

© 2022 Richard Pavlicek