Stats 8H01 Main

Random Solved Deals

by Richard Pavlicek

Double-dummy stats for 10,485,760 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.

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

 Winnable tricks at double-dummy in notrump

TricksNorthSouthWestEastEmpirical
01634341.55861635071.55931639201.56331639381.563499135933831.5612
13821613.64463821933.64493822613.64553821773.6447231457626773.6449
26273765.98316275685.98506268275.97796266955.9766379779320675.9806
38716898.31318711488.30798745838.34078747468.3422528710698468.3260
4111524710.6358111547310.6380111471810.6308111457810.62946752419474210.6335
5132408412.6274132362412.6231132160612.6038132145412.60248010171462812.6142
6149739714.2803149802014.2862149822114.2881149916414.29719073044133214.2880
7139380313.2923139410313.2952139378213.2921139312713.28598440215867213.2914
8117572211.2126117545111.2100117705811.2253117702411.22507123710456811.2182
97876927.51207877857.51297874307.50957878437.5135477020495637.5120
105384805.13535381825.13255374465.12555370995.1222325690654405.1289
113400283.24283399893.24243404243.24653402593.2450206008660923.2442
121963411.87251963901.87291953911.86341955791.8652118651571671.8685
13723060.6896723270.6898720930.6875720770.687443724494230.6886
14104857606.0072104857606.0072104857606.0059104857606.00596350135596006.0066

 Stats 8H01 Main Top Random Solved Deals

 Winnable tricks at double-dummy with spades trump

TricksNorthSouthWestEastEmpirical
01145171.09211145161.09211148741.09551149421.096269498930151.0944
12912562.77762913692.77872906202.77162903842.7693176468174122.7790
25443025.19095442975.19085466445.21325466435.2132329924528295.1956
38324337.93878316097.93088328217.94248336297.9501504766525427.9489
4109591110.4514109631710.4553109627310.4549109546810.44726637297543810.4522
5128454912.2504128462412.2511128520012.2566128551812.25977782192531512.2552
6136422713.0103136411713.0092136431013.0111136416013.00968255185434513.0000
7133471212.7288133524212.7339133357212.7179133374612.71968076082273712.7180
8121169911.5557121197811.5583121304311.5685121303311.56847346563395411.5691
99995169.53219991649.52889978579.51639975569.5134604891624829.5256
107222636.88807219956.88557205986.87227210406.8764436617506886.8757
114355444.15374356254.15444353284.15164350604.1491263777875484.1539
122001581.90892002441.90972000281.90761999761.9071121285271361.9100
13546730.5214546630.5213545920.5206546050.520833173041590.5224
14104857606.2969104857606.2969104857606.2946104857606.29456350135596006.2957

 Stats 8H01 Main Top Random Solved Deals

Heart make

 Winnable tricks at double-dummy with hearts trump

TricksNorthSouthWestEastEmpirical
01145831.09271146491.09341150461.09721151391.098169498930151.0944
12923392.78802920562.78532912932.77802912622.7777176468174122.7790
25443885.19175443585.19145441485.18945441595.1895329924528295.1956
38336377.95028342767.95638335617.94958336437.9502504766525427.9489
4109744710.4661109705410.4623109574510.4498109523210.44496637297543810.4522
5128370112.2423128371212.2424128493612.2541128515412.25627782192531512.2552
6136277812.9965136285112.9972136391013.0073136371113.00548255185434513.0000
7133526512.7341133442712.7261133194112.7024133160412.69928076082273712.7180
8121187911.5574121275011.5657121296911.5678121387511.57647346563395411.5691
99988899.52619986149.52359999919.536710000279.5370604891624829.5256
107201496.86797202586.86897213006.87897207586.8737436617506886.8757
114354374.15274352754.15114361154.15914361884.1598263777875484.1539
122004451.91162006691.91372001901.90922004401.9115121285271361.9100
13548230.5228548110.5227546150.5208545680.520433173041590.5224
14104857606.2950104857606.2951104857606.2963104857606.29646350135596006.2957

 Stats 8H01 Main Top Random Solved Deals

Diamond make

 Winnable tricks at double-dummy with diamonds trump

TricksNorthSouthWestEastEmpirical
01151081.09781151421.09811149361.09611148411.095269498930151.0944
12916192.78112914552.77952910682.77582911552.7767176468174122.7790
25447865.19555449015.19665448445.19605447185.1948329924528295.1956
38348677.96198347977.96128336717.95058341477.9550504766525427.9489
4109509810.4437109491910.4420109574710.4499109553610.44786637297543810.4522
5128629112.2670128663912.2703128353512.2407128343412.23987782192531512.2552
6136196312.9887136178012.9869136410913.0092136354813.00388255185434513.0000
7133338012.7161133385612.7206133257812.7085133315312.71398076082273712.7180
8121198811.5584121177111.5563121432411.5807121436111.58107346563395411.5691
99990899.52819989729.52699985279.52279984679.5221604891624829.5256
107206446.87267207076.87327214896.88077213576.8794436617506886.8757
114354774.15304355774.15404356774.15494356674.1548263777875484.1539
122003861.91102002611.90982001491.90882002871.9101121285271361.9100
13550640.5251549830.5244551060.5255550890.525433173041590.5224
14104857606.2950104857606.2950104857606.2963104857606.29646350135596006.2957

 Stats 8H01 Main Top Random Solved Deals

Club make

 Winnable tricks at double-dummy with clubs trump

TricksNorthSouthWestEastEmpirical
01142081.08921141701.08881147431.09431147651.094569498930151.0944
12917392.78222919202.78402914352.77932914102.7791176468174122.7790
25449895.19745447985.19565444525.19235446875.1945329924528295.1956
38320487.93508324647.93908343247.95678348757.9620504766525427.9489
4109739710.4656109722610.4640109592110.4515109519410.44466637297543810.4522
5128455712.2505128398712.2451128752612.2788128717412.27547782192531512.2552
6136004512.9704136035712.9734136363813.0047136407113.00888255185434513.0000
7133480112.7297133484212.7300133140912.6973133147112.69798076082273712.7180
8121466011.5839121496511.5868121292611.5674121285411.56677346563395411.5691
99994799.53189986869.52429983069.52069983869.5214604891624829.5256
107210126.87617215396.88117205516.87177204906.8711436617506886.8757
114352354.15074354124.15244361014.15904356794.1550263777875484.1539
122009581.91652007781.91481996561.90411998761.9062121285271361.9100
13546320.5210546160.5209547720.5223548280.522933173041590.5224
14104857606.2967104857606.2967104857606.2947104857606.29466350135596006.2957

 Stats 8H01 Main Top Random Solved Deals

Longest fit

 Number of cards in longest trump fit

LengthNorthSouthWestEastTheoretical (exact)
7164961715.7320164961715.7320164933515.7293164933515.72931300649843750415.7363
8479693845.7472479693845.7472479709645.7487479709645.74873780937365390945.7447
9294683928.1032294683928.1032294570928.0925294570928.09252322544099232528.0999
109087158.66629087158.66629106498.68469106498.684671684010398008.6729
111661821.58481661821.58481657771.58101657771.581013072274350201.5816
12167340.1596167340.1596165120.1575165120.15751307323158310.1582
137350.00707350.00706820.00656820.006554149502950.0066
7104857608.3513104857608.3513104857608.3514104857608.3514826530888246848.3512

 Stats 8H01 Main Top Random Solved Deals

Longest fit make

 Winnable tricks at double-dummy with longest fit trumps

TricksNorthSouthWestEastEmpirical
04010.00383940.00383590.00343570.0034228763940.0036
141870.039941800.039941070.039241210.03932512466910.0396
2255930.2441255490.2437258240.2463258240.246315561246560.2451
3976280.9311976770.9315969480.9246969800.924958927227890.9280
42708682.58322708082.58262711012.58542711502.5859164098835472.5842
55880675.60825883985.61145890375.61755887775.6150356432984555.6130
610231909.757910230619.756710255139.780110254069.7790620312562339.7685
7148724214.1834148705314.1816148485114.1606148512214.16328999974419014.1729
8181783717.3362181799117.3377181783617.3362181831917.340811009984284917.3382
9186896417.8238186853617.8197186921617.8262186851717.819611317316747117.8222
10158406515.1068158462715.1122158334615.1000158372815.10369591976422515.1052
11105929610.1022105910210.1004105957510.1049105931310.10246415044902410.1022
125139084.90105139624.90155135204.89735136254.8983311125613464.8995
131445141.37821444221.37731445271.37831445211.378387506217301.3780
14104857608.3755104857608.3755104857608.3750104857608.37506350135596008.3753

 Stats 8H01 Main Top Random Solved Deals

Best fit

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

LengthNorthSouthWestEastEmpirical
51780.00171810.00171650.00161670.0016104616730.0016
6202860.1935201730.1924202240.1929202020.192712220778350.1924
7173968316.5909173990516.5930173954616.5896173950716.589210535121225516.5904
8474280545.2309474277145.2306474299645.2327474312845.234028723408943645.2327
9289753327.6330289747127.6324289639127.6221289634027.621717543724513327.6273
109023378.60549023248.60529041838.62309041928.6230547010147898.6141
111654771.57811654691.57801650621.57421650391.5739100081874981.5761
12167260.1595167310.1596165110.1575165030.157410063644960.1585
137350.00707350.00706820.00656820.0065429064850.0068
9104857608.3327104857608.3327104857608.3327104857608.33276350135596008.3327

 Stats 8H01 Main Top Random Solved Deals

Best fit make

 Winnable tricks at double-dummy with most productive fit trumps

TricksNorthSouthWestEastEmpirical
0230.0002230.0002270.0003270.000315139900.0002
122080.021122120.021121510.020521600.02061322319130.0208
2220000.2098219740.2096222570.2123222570.212313396240420.2110
3939350.8958940410.8968933060.8898933070.889856710897480.8931
42670082.54642669142.54552672862.54902673642.5498161775920152.5476
55843955.57325846765.57595851575.58055849485.5785354151855365.5771
610189579.717510188539.716510212879.739810211689.7386617759369089.7283
7148246914.1379148224914.1358148012714.1156148037014.11798971132903714.1275
8181571817.3160181583517.3172181551317.3141181588717.317610996282672717.3166
9187114217.8446187057817.8392187133617.8465187091817.842511330508144617.8429
10158850515.1492158923215.1561158778515.1423158796015.14409618745285115.1473
11106568910.1632106555610.1619106625110.1686106605110.16676454782605910.1648
125228824.98665228464.98625222614.98075223004.9810316465305874.9836
131508291.43841507711.43791510161.44021510431.440591393387411.4392
14104857608.3941104857608.3940104857608.3936104857608.39366350135596008.3938

 Stats 8H01 Main Top Random Solved Deals

Highest make

 Highest makable strain at double-dummy

StrainNorthSouthWestEastEmpirical
None230.0002230.0002270.0003270.000315139900.0002
1650.0006700.0007660.0006650.000640272140.0006
12050.00202030.00191790.00171780.0017116123060.0018
14290.00414260.00414250.00414280.0041258740940.0041
18780.00848800.00848840.00848740.0083532318990.0084
NT 16250.00606250.00605870.00566040.0058369565030.0058
219590.018719430.018520240.019320230.01931203168100.0189
232110.030632230.030733400.031933480.03191986355280.0313
254490.052054150.051653670.051253470.05103266282690.0514
282300.078582450.078682920.079183160.07935009188330.0789
NT 230210.028830200.028831020.029630870.02941851458750.0292
3116590.1112116870.1115117650.1122117160.11177089865200.1116
3164840.1572165410.1577164920.1573164490.15699986582860.1573
3230880.2202231730.2210229420.2188229630.219013953388860.2197
3317320.3026316960.3023313360.2988314060.299519101258690.3008
NT 3100390.095799880.095398450.093997920.09346005091150.0946
4379850.3623379400.3618376030.3586376820.359422892290420.3605
4493700.4708493630.4708495020.4721495640.472729946122650.4716
4647090.6171646110.6162643020.6132642590.612839039754030.6148
4834560.7959835300.7966842960.8039843280.804250810120260.8001
NT 4282270.2692282700.2696282780.2697283910.270817133222700.2698
5888740.8476888290.8471891840.8505891570.850353908350020.8489
51117021.06531115901.06421118711.06691117281.065567655836201.0654
51404131.33911405281.34021402451.33751401851.336984987694421.3384
51746711.66581748951.66791754061.67281753061.6718106023984131.6696
NT 5627960.5989627610.5985623210.5943624640.595737903504300.5969
61643491.56741642281.56621648051.57171649431.573099666436031.5695
61997231.90471997041.90452002141.90942001691.9090121097120211.9070
62429912.31732430352.31782435662.32282432982.3203147291120692.3195
62954012.81722953312.81652960672.82352961302.8241179102025212.8204
NT 61077341.02741078721.02871080531.03051079591.029665347606581.0291
72496942.38132496222.38062482452.36742481662.3667150754373522.3740
72962072.82492964892.82752965122.82782969552.8320179586502112.8281
73533523.36983529303.36583521863.35873524173.3609213619944393.3640
74215334.02014217074.02174214174.01894214254.0190255284806214.0201
NT 71512141.44211511231.44121514021.44391508461.438691542061251.4416
83108732.96473109442.96543096342.95293097192.9537187915114182.9592
83645363.47653646993.47803650063.48103647183.4782220888006253.4785
84289964.09124288094.08944297064.09804299394.1002260021022084.0947
85038314.80495037234.80395031824.79875035294.8020304961099134.8024
NT 82007981.91502008561.91552011931.91872011371.9182121734661531.9170
93163133.01663163493.01693162923.01643163163.0166191553989883.0165
93744543.57113742173.56883747913.57433746023.5725226799532803.5716
94394384.19084397174.19354402524.19864405244.2012266450030524.1960
95144694.90645142164.90395136314.89845130414.8927311169216384.9002
NT 92274562.16922271472.16622273672.16832279082.1735137764185292.1695
102590852.47082593202.47312585902.46612585802.4660156781266132.4689
103107932.96403111572.96743113222.96903115592.9713188456517112.9678
103683633.51303685043.51433698343.52703693633.5225223463303763.5190
104339014.13804335744.13494319424.11934321014.1208262137580534.1281
NT 102266452.16152268802.16372266902.16192266842.1618137309534012.1623
111600321.52621599881.52581602411.52821602551.528396972895881.5271
111970631.87931969801.87851965391.87431963501.8725119140439141.8762
112355792.24672354542.24552368462.25872370392.2606143053764622.2528
112791822.66252791052.66182785462.65642783162.6542168821274042.6585
NT 112086631.99002088351.99162086161.98952085841.9892126372165241.9901
12669180.6382667660.6367666570.6357666330.635540420664590.6365
12823170.7850824100.7859826600.7883826400.788149965767870.7868
121004120.95761004110.95761005210.95861005780.959260849389980.9582
121195021.13971195481.14011196771.14131196041.140672417487111.1404
NT 121621821.54671622511.54731612551.53781614101.539397970009901.5428
13156340.1491156770.1495157060.1498157620.15039504679740.1497
13185760.1772184600.1760186720.1781186370.177711255760930.1773
13213920.2040213660.2038214740.2048214550.204612972928730.2043
13245530.2342245540.2342246770.2353247050.235614911139120.2348
NT 13723060.6896723270.6898720930.6875720770.687443724494230.6886
661048576040.09281048576040.09271048576040.09051048576040.090463501355960040.0915

Mean is calculated with highest makes valued from 0 to 65, so 40.xxxx represents “NT 8”

 Stats 8H01 Main Top Random Solved Deals

 Highest makable strain at double-dummy if on lead

StrainNorthSouthWestEastEmpirical
None180.0002180.0002230.0002230.000212414720.0002
1540.0005540.0005520.0005540.000532399390.0005
11690.00161670.00161440.00141440.001494473000.0015
13610.00343630.00353470.00333540.0034215743620.0034
16970.00666990.00677080.00687050.0067425279880.0067
NT 14460.00434490.00434230.00404230.0040263888510.0042
213570.012913480.012914570.013914540.0139849954160.0134
223120.022023600.022523690.022623540.02241422242490.0224
238310.036538320.036538150.036438010.03622312922990.0364
260110.057360180.057459790.057059820.05703632668340.0572
NT 221210.020220780.019821060.020121120.02011274325640.0201
381110.077481040.077381740.078081780.07804930763630.0776
3114510.1092114530.1092114260.1090114800.10956935135390.1092
3164890.1573164600.1570166190.1585165500.157810008232920.1576
3229780.2191230680.2200230950.2203230340.219713953691650.2197
NT 387140.083186530.082583750.079984130.08025170579690.0814
4272960.2603272700.2601269770.2573270720.258216442540320.2589
4360460.3438360850.3441357480.3409357350.340821743777370.3424
4477610.4555478650.4565475780.4537476900.454828902680540.4552
4631770.6025629370.6002632310.6030633070.603738251116480.6024
NT 4261740.2496263110.2509267020.2547267280.254916033914330.2525
5658990.6285658440.6279662020.6314661580.630939987057760.6297
5833700.7951833660.7950837370.7986837360.798650599675610.7968
51064411.01511067341.01791063421.01421061621.012464449204731.0149
51348011.28561349431.28691349621.28711349841.287381711722201.2868
NT 5607760.5796605180.5771608390.5802609200.581036806466930.5796
61279431.22021280461.22111281611.22221282371.223077575803481.2216
61568431.49581569811.49711577741.50471575281.502395250277711.5000
61940541.85061937761.84801946181.85601946041.8559117646584911.8527
62392072.28132389632.27892400722.28952400482.2893145092806772.2849
NT 61110561.05911109001.05761116351.06461115461.063867409207181.0615
72050731.95572052141.95712036961.94262037071.9427123797321921.9495
72472942.35842466202.35202474922.36032473932.3593149709871612.3576
72989992.85152992132.85352977432.83952976912.8390180711851102.8458
73600733.43393602943.43603608603.44143606383.4393218302716413.4378
NT 71884951.79761888321.80081883731.79651887631.8002114245859881.7991
82704962.57972705022.57972691402.56672691242.5666163394981382.5731
83253223.10253253643.10293256103.10533254943.1042197093831813.1038
83899233.71863895693.71523897853.71733898943.7183236057583523.7174
84638714.42384643614.42854635654.42094633574.4189280859281854.4229
NT 82686142.56172685452.56102685392.56102688522.5640162709295172.5623
92906682.77202907682.77302907892.77322909602.7748176104627202.7732
93523563.36033523803.36063521203.35813520353.3573213307305393.3591
94193533.99934191163.99704197874.00344201354.0067254095718224.0014
94965894.73584962034.73224960584.73084960034.7303300486954984.7320
NT 93320063.16633313543.16003329563.17533328283.1741201252157583.1693
102511892.39552510832.39452503232.38732501482.3856151809473362.3906
103024632.88453029702.88933037222.89653036372.8957183603723982.8913
103593513.42703593693.42723608913.44173602043.4352217970244133.4325
104213504.01834217394.02204206284.01144208014.0131255009865574.0158
NT 103801023.62493801843.62573784013.60873785293.6099229712904353.6174
111673741.59621676231.59861675571.59791678691.6009101498969901.5984
111995731.90331995401.90301993721.90141992601.9003120771158101.9019
112325092.21742326962.21922336392.22822338022.2297141194130332.2235
112718132.59222718692.59272694572.56972695402.5705163907315702.5812
NT 113794683.61893791753.61613785003.60973781363.6062229412831473.6127
12908200.8661907900.8658908740.8666908430.866355007204190.8662
121026980.97941028230.98061028360.98071029450.981862270269880.9806
121156911.10331156131.10261164561.11061167941.113870331511271.1076
121292931.23301293441.23351300261.24001300281.240078529314581.2367
NT 122947652.81112946982.81052947732.81122947332.8108178494763702.8109
13336990.3214337180.3216335540.3200336340.320820379066510.3209
13360010.3433359400.3428362680.3459362450.345721870195560.3444
13380450.3628380890.3632383650.3659383780.366023145429600.3645
13405400.3866405610.3868404080.3854404100.385424514379630.3860
NT 131639201.56331639381.56341635071.55931634341.558699135933831.5612
661048576042.02321048576042.02371048576042.01991048576042.020363501355960042.0216

Mean is calculated with on-lead highest makes valued from 0 to 65, so 42.xxxx represents “ 9”

 Stats 8H01 Main Top Random Solved Deals

Best contract make

 Highest scoring makable contract at double-dummy

ContractNorthSouthWestEastEmpirical
None196949818.7826196964518.7840197238618.8101197218618.808211935899878318.7963
1 2496942.38132496222.38062482452.36742481662.3667150754373522.3740
1 2962072.82492964892.82752965122.82782969552.8320179586502112.8281
1 3533523.36983529303.36583521863.35873524173.3609213619944393.3640
1 4215334.02014217074.02174214174.01894214254.0190255284806214.0201
1 NT1512141.44211511231.44121514021.44391508461.438691542061261.4416
2 3108732.96473109442.96543096342.95293097192.9537187915114182.9592
2 3645363.47653646993.47803650063.48103647183.4782220888006253.4785
2 4289964.09124288094.08944297064.09804299394.1002260021022084.0947
2 5038314.80495037234.80395031824.79875035294.8020304961099134.8024
3 2506992.39092507202.39112502722.38682502682.3867151688808332.3887
3 2910352.77552908822.77412920212.78492917522.7824176477674412.7791
2 NT3498313.33623498203.33613499833.33773500353.3382211921701463.3373
4 1380451.31651382291.31831377101.31331376541.312883520789221.3153
4 1694381.61591696251.61771707771.62871709301.6301103067918051.6231
3 5017954.78555019094.78665023324.79065027654.7947304121742904.7892
3 5846935.57615845855.57505837005.56665832825.5626353692662105.5698
3 NT3572703.40723572093.40663566433.40123569813.4044216218103153.4049
5 812920.7753811830.7742811690.7741812520.774949189545040.7746
5 1041920.99371041200.99301042110.99381040640.992463074198740.9933
4 4058493.87054061093.87304073603.88494069263.8807246198139193.8771
4 4758254.53784755624.53534739794.52024741414.5218287568681294.5285
4 NT3188463.04083189523.04183185273.03773183703.0362192993189063.0392
5 2355792.24672354542.24552368462.25872370392.2606143053764622.2528
5 2791822.66252791052.66182785462.65642783162.6542168821274042.6585
5 NT2086631.99002088351.99162086161.98952085841.9892126372165241.9901
6 669180.6382667660.6367666570.6357666330.635540420664590.6365
6 823170.7850824100.7859826600.7883826400.788149965767870.7868
6 1004120.95761004110.95761005210.95861005780.959260849389980.9582
6 1195021.13971195481.14011196771.14131196041.140672417487111.1404
6 NT1621821.54671622511.54731612551.53781614101.539397970009901.5428
7 156340.1491156770.1495157060.1498157620.15039504679740.1497
7 185760.1772184600.1760186720.1781186370.177711255760930.1773
7 213920.2040213660.2038214740.2048214550.204612972928730.2043
7 245530.2342245540.2342246770.2353247050.235614911139120.2348
7 NT723060.6896723270.6898720930.6875720770.687443724494230.6886
361048576011.43591048576011.43581048576011.43391048576011.433763501355960011.4347

Mean is calculated with best contracts valued from 0 to 35, so 11.xxxx represents “3

 Stats 8H01 Main Top Random Solved Deals

Par none vul

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

ScoreNorth-South PlusWest-East PlusAbsolute Times
02540.0024
702690.00512760.00535450.0052
80128860.2458126420.2411255280.2435
901557242.97101559292.97353116532.9722
10085082816.232585238216.2544170321016.2431
1102358694.50002358114.49684716804.4983
1202123624.05152136164.07354259784.0624
1301979213.77601983733.78293962943.7794
14056269710.735456425110.7599112694810.7474
3002870685.47682870725.47435741405.4754
4004290908.18644278958.15978569858.1728
42058649811.189558583211.1715117233011.1802
4303182406.07153174956.05446357356.0628
4504698078.96324706198.97449404268.9686
4602199964.19722200384.19604400344.1965
500211160.4029213390.4069424550.4049
800461260.8800465900.8884927160.8842
9201159572.21231157322.20692316892.2096
9801897043.61931896903.61733793943.6182
9901777173.39061767783.37113544953.3807
110041200.078640800.077882000.0782
140062220.118762770.1197124990.1192
1440251750.4803252960.4824504710.4813
1510432180.8245433140.8260865320.8252
1520728921.3907726771.38591455691.3883
25524150211.1808524400411.17461048576011.1775

 Stats 8H01 Main Top Random Solved Deals

Par N-S vul

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

ScoreNorth-South PlusWest-East PlusAbsolute Times
02540.0024
702690.00512760.00535450.0052
80128860.2458126420.2411255280.2435
901557242.97101559292.97353116532.9722
10085082816.2325008508288.1141
1102358694.500056535810.78108012277.6411
1202123624.05152966185.65635089804.8540
1301979213.77602571514.90374550724.3399
14056269710.735480505915.3520136775613.0439
200001402472.67441402471.3375
3002870685.4768002870682.7377
400005061809.65255061804.8273
4200074129414.13607412947.0695
430003291476.27663291473.1390
450005037669.60655037664.8043
460002212204.21852212202.1097
5004573418.725473440.14004646854.4316
6002951315.6307002951312.8146
6203880767.4039003880763.7010
6302862025.4603002862022.7294
6504027287.6834004027283.8407
6602152694.1070002152692.0530
800461260.8800213390.4069674650.6434
920001361592.59651361591.2985
980002112964.02932112962.0151
990001792063.41741792061.7090
1100783581.495021290.0406804870.7676
1370863031.646500863030.8230
1400721981.377440800.0778762780.7274
14301044031.9919001044030.9957
14401524582.9087297410.56711821991.7376
151000451460.8609451460.4305
152000726771.3859726770.6931
170081860.15620081860.0781
200096290.18370096290.0918
2140126550.241400126550.1207
2210379230.723500379230.3617
2220728921.390700728920.6952
38524150213.8412524400411.77971048576012.8099

 Stats 8H01 Main Top Random Solved Deals

Par E-W vul

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

ScoreNorth-South PlusWest-East PlusAbsolute Times
02540.0024
702690.00512760.00535450.0052
80128860.2458126420.2411255280.2435
901557242.97101559292.97353116532.9722
1000085238216.25448523828.1289
11056448110.76952358114.49688002927.6322
1202957805.64302136164.07355093964.8580
1302562434.88871983733.78294546164.3356
14080308615.321756425110.7599136733713.0399
2001400872.6726001400871.3360
300002870725.47432870722.7377
4005070809.6743005070804.8359
42074226214.1612007422627.0788
4303299396.2947003299393.1465
4505027829.5923005027824.7949
4602212444.2210002212442.1099
50073920.14104578968.73184652884.4373
600002938585.60372938582.8024
620003868527.37703868523.6893
630002857575.44922857572.7252
650004034757.69404034753.8478
660002153804.10722153802.0540
800211160.4029465900.8884677060.6457
9201363972.6023001363971.3008
9802110254.0260002110252.0125
9901800893.4358001800891.7175
110019930.0380775771.4793795700.7588
137000863161.6460863160.8232
140041200.0786719261.3716760460.7252
1430001049522.00141049521.0009
1440295620.56401517862.89451813481.7295
1510450530.859500450530.4297
1520728921.390700728920.6952
17000083640.159583640.0798
20000096530.184196530.0921
214000126350.2409126350.1205
221000379580.7238379580.3620
222000726771.3859726770.6931
38524150211.7850524400413.83101048576012.8079

 Stats 8H01 Main Top Random Solved Deals

Par both vul

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

ScoreNorth-South PlusWest-East PlusAbsolute Times
02540.0024
702690.00512760.00535450.0052
80128860.2458126420.2411255280.2435
901557242.97101559292.97353116532.9722
11056448110.769556535810.7810112983910.7750
1202957805.64302966185.65635923985.6495
1302562434.88872571514.90375133944.8961
14080308615.321780505915.3520160814515.3365
2001400872.67261402472.67442803342.6735
5002870685.47682870725.47435741405.4754
6004290908.18644278958.15978569858.1728
62058649811.189558583211.1715117233011.1802
6303182406.07153174956.05446357356.0628
6504698078.96324706198.97449404268.9686
6602199964.19722200384.19604400344.1965
800211160.4029213390.4069424550.4049
1100461260.8800465900.8884927160.8842
13701159572.21231157322.20692316892.2096
1400487040.9292481610.9184968650.9238
14301525372.91021529132.91603054502.9130
14401703003.24911694743.23183397743.2403
170062220.118762770.1197124990.1192
200081860.156283640.1595165500.1578
2140193190.3686193360.3687386550.3686
2210408880.7801409100.7801817980.7801
2220728921.3907726771.38591455691.3883
26524150214.8996524400414.89001048576014.8945

 Stats 8H01 Main Top Random Solved Deals

Total tricks 14 trumps

 Total tricks with 14 total trumps in four cases:1. Longest* fit declared by longer** hand2. Longest* fit always right-sided3. Best producing fit declared by longer** hand4. 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
10200.0018140.00130000
112010.01831290.011770.000620.0002
1243420.394829660.269710310.09384160.0378
1311565310.5169903238.21351037969.4387782647.1169
1455624150.581853727848.857456206351.111254113049.2076
1535786132.542139381335.811436595833.278440291336.6389
16595165.4121682136.2029608455.5329698356.3504
1754510.495763870.580855670.506265430.5950
183710.03375120.04663870.03525320.0484
19290.0026500.0045320.0029500.0045
2020.000220.000210.000120.0002
11109968714.3363109968714.4138109968714.3639109968714.4415

 Stats 8H01 Main Top Random Solved Deals

Total tricks 15 trumps

 As previous but with 15 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1080.000770.00060000
11540.0049330.003040.000440.0004
127010.06385060.04601340.0122430.0039
13140001.2732108580.9875117901.072285810.7804
1416727215.212414424313.118016800715.279214431813.1249
1553208348.389752255047.522853401448.565452436547.6878
1632574829.624835322332.123532591929.640435395332.1899
17546274.9680621235.6497545924.9648622615.6623
1847490.431955940.508747740.434256110.5103
193200.02914140.03773260.02964140.0377
20150.0014250.0023170.0015260.0024
2110.000120.000210.000120.0002
12109957815.2301109957815.2987109957815.2354109957815.3051

 Stats 8H01 Main Top Random Solved Deals

Total tricks 16 trumps

 As previous but with 16 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
920.000110.00000000
10460.0016390.00140000
112720.00962010.007110.000010.0000
1216320.057812920.0458580.0021240.0009
13141420.5010117790.417338180.135225760.0913
141166504.13221007173.5678839622.9742681152.4129
1559305221.008154809919.415758191320.613553064918.7976
16117338341.5656117296141.5507120612642.7255120553842.7047
1772565025.705277057827.296874446326.371779292228.0883
181700776.02481861336.59351739736.16281912806.7759
19249700.8845277050.9814255210.9040283271.0034
2028680.101631910.113029110.103132600.1155
212130.00752540.00902100.00742570.0091
2290.0003160.0006100.0004170.0006
14282296616.0979282296616.1590282296616.1488282296616.2126

 Stats 8H01 Main Top Random Solved Deals

Total tricks 17 trumps

 As previous but with 17 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
910.000010.00000000
10190.0008120.00050000
11550.0023440.001810.000000
122220.00921830.007630.000110.0000
1314320.059511750.04882370.00981530.0064
14127150.5280106480.442269800.289854780.2275
151175164.87981028434.27051034134.2942887653.6859
1654410422.593751197521.259653887122.376450412720.9337
1793868138.978493816138.956895150939.511095096039.4882
1861559125.562264704126.868162648926.014765913527.3703
191557866.46901709627.09911583096.57371740467.2272
20201700.8376229240.9519204630.8497232770.9666
2117990.074720930.086918200.075621190.0880
221160.00481400.00581110.00461410.0059
2340.000290.000450.000290.0004
15240821117.0710240821117.1293240821117.1016240821117.1609

 Stats 8H01 Main Top Random Solved Deals

Total tricks 18 trumps

 As previous but with 18 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1220.000120.00010000
13370.0023240.001560.000420.0001
146260.03824810.02943320.02032520.0154
15110880.677292220.563290260.551373550.4492
161147347.00741032786.30771053536.4344942895.7587
1740162624.529338443423.479339086523.872137270422.7629
1858556635.763558772135.895159206836.160659302436.2190
1938282123.380839909224.374639266323.981940960825.0168
201176787.18721269897.75591225297.48351324588.0899
21204141.2468228021.3926215251.3146241371.4742
2225280.154430150.184127400.167332150.1964
231980.01212540.01552100.01282700.0165
24120.0007160.0010130.0008160.0010
13163733018.0144163733018.0697163733018.0515163733018.1080

 Stats 8H01 Main Top Random Solved Deals

Total tricks 19 trumps

 As previous but with 19 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1330.000320.00020000
14530.0060400.0045150.0017100.0011
157330.08255970.06724800.05403820.0430
16128911.4509113431.2766106331.196792591.0421
179868311.10669162410.31219012810.1437832779.3726
1825877429.124525200328.362425589428.800324814327.9280
1929348633.031229692033.417729974433.735530292734.0938
2016608718.692717285319.454217135019.285117856920.0976
21485935.4690525305.9121507125.7075548586.1741
2282480.928394001.057985590.963398361.1070
238990.101211160.12569340.105111640.1310
24610.0069830.0093620.0070860.0097
1288851118.768088851118.818988851118.811488851118.8636

 Stats 8H01 Main Top Random Solved Deals

Total tricks 20 trumps

 As previous but with 20 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1420.000520.00050000
15350.0094230.0062190.0051120.0032
167860.21096740.18085760.15454960.1331
17122603.2895111322.9868100152.687189422.3992
186208116.65705893615.81315964916.00445641115.1356
1911923131.990911769731.579311890631.903711729631.4717
2010855129.125311033929.605111051129.651211221630.1087
215269514.13865491714.73485467614.67015703015.3017
22145303.8985159604.2822155504.1722169674.5524
2322880.613927050.725825250.677529820.8001
242230.05982900.07782500.06713210.0861
25200.0054260.0070250.0067280.0075
2610.000320.000510.000320.0005
1337270319.479837270319.529037270319.527337270319.5770

 Stats 8H01 Main Top Random Solved Deals

Total tricks 21 trumps

 As previous but with 21 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1510.000810.00080000
16320.0266270.0225240.0200190.0158
178670.72207830.65207550.62876820.5679
1893927.821088307.353087577.292282156.8409
192902724.17162802623.33812810823.40642707222.5437
203955232.93613946032.85953953632.92283937432.7879
212750322.90262810023.39972829123.55882884424.0193
22108489.0335115829.6447114579.54061227610.2226
2325142.093527952.327527682.305030732.5590
243450.28734600.38313770.31395070.4222
2560.0050230.0192140.0117250.0208
1112008720.063312008720.112112008720.109112008720.1594

Double-dummy stats for 10,485,760 deals

 Stats 8H01 Main Top Random Solved Deals