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 = M

 Winnable tricks at double-dummy in notrump

ValueNorthSouthWestEastEmpirical
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

ValueNorthSouthWestEastEmpirical
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 = hm

 Winnable tricks at double-dummy with hearts trump

ValueNorthSouthWestEastEmpirical
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 = dm

 Winnable tricks at double-dummy with diamonds trump

ValueNorthSouthWestEastEmpirical
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 = cm

 Winnable tricks at double-dummy with clubs trump

ValueNorthSouthWestEastEmpirical
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 = lf

 Number of cards in longest trump fit

ValueNorthSouthWestEastTheoretical (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 = lm

 Winnable tricks at double-dummy with longest fit trumps

ValueNorthSouthWestEastEmpirical
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 = bf

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

ValueNorthSouthWestEastEmpirical
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 = bm

 Winnable tricks at double-dummy with most productive fit trumps

ValueNorthSouthWestEastEmpirical
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 = H

 Highest makable strain-tricks at double-dummy

ValueNorthSouthWestEastEmpirical
None = 0230.0002230.0002270.0003270.000315139900.0002
1 = 1650.0006700.0007660.0006650.000640272140.0006
1 = 22050.00202030.00191790.00171780.0017116123060.0018
1 = 34290.00414260.00414250.00414280.0041258740940.0041
1 = 48780.00848800.00848840.00848740.0083532318990.0084
N 1 = 56250.00606250.00605870.00566040.0058369565030.0058
2 = 619590.018719430.018520240.019320230.01931203168100.0189
2 = 732110.030632230.030733400.031933480.03191986355280.0313
2 = 854490.052054150.051653670.051253470.05103266282690.0514
2 = 982300.078582450.078682920.079183160.07935009188330.0789
N 2 = 1030210.028830200.028831020.029630870.02941851458750.0292
3 = 11116590.1112116870.1115117650.1122117160.11177089865200.1116
3 = 12164840.1572165410.1577164920.1573164490.15699986582860.1573
3 = 13230880.2202231730.2210229420.2188229630.219013953388860.2197
3 = 14317320.3026316960.3023313360.2988314060.299519101258690.3008
N 3 = 15100390.095799880.095398450.093997920.09346005091150.0946
4 = 16379850.3623379400.3618376030.3586376820.359422892290420.3605
4 = 17493700.4708493630.4708495020.4721495640.472729946122650.4716
4 = 18647090.6171646110.6162643020.6132642590.612839039754030.6148
4 = 19834560.7959835300.7966842960.8039843280.804250810120260.8001
N 4 = 20282270.2692282700.2696282780.2697283910.270817133222700.2698
5 = 21888740.8476888290.8471891840.8505891570.850353908350020.8489
5 = 221117021.06531115901.06421118711.06691117281.065567655836201.0654
5 = 231404131.33911405281.34021402451.33751401851.336984987694421.3384
5 = 241746711.66581748951.66791754061.67281753061.6718106023984131.6696
N 5 = 25627960.5989627610.5985623210.5943624640.595737903504300.5969
6 = 261643491.56741642281.56621648051.57171649431.573099666436031.5695
6 = 271997231.90471997041.90452002141.90942001691.9090121097120211.9070
6 = 282429912.31732430352.31782435662.32282432982.3203147291120692.3195
6 = 292954012.81722953312.81652960672.82352961302.8241179102025212.8204
N 6 = 301077341.02741078721.02871080531.03051079591.029665347606581.0291
7 = 312496942.38132496222.38062482452.36742481662.3667150754373522.3740
7 = 322962072.82492964892.82752965122.82782969552.8320179586502112.8281
7 = 333533523.36983529303.36583521863.35873524173.3609213619944393.3640
7 = 344215334.02014217074.02174214174.01894214254.0190255284806214.0201
N 7 = 351512141.44211511231.44121514021.44391508461.438691542061251.4416
8 = 363108732.96473109442.96543096342.95293097192.9537187915114182.9592
8 = 373645363.47653646993.47803650063.48103647183.4782220888006253.4785
8 = 384289964.09124288094.08944297064.09804299394.1002260021022084.0947
8 = 395038314.80495037234.80395031824.79875035294.8020304961099134.8024
N 8 = 402007981.91502008561.91552011931.91872011371.9182121734661531.9170
9 = 413163133.01663163493.01693162923.01643163163.0166191553989883.0165
9 = 423744543.57113742173.56883747913.57433746023.5725226799532803.5716
9 = 434394384.19084397174.19354402524.19864405244.2012266450030524.1960
9 = 445144694.90645142164.90395136314.89845130414.8927311169216384.9002
N 9 = 452274562.16922271472.16622273672.16832279082.1735137764185292.1695
10 = 462590852.47082593202.47312585902.46612585802.4660156781266132.4689
10 = 473107932.96403111572.96743113222.96903115592.9713188456517112.9678
10 = 483683633.51303685043.51433698343.52703693633.5225223463303763.5190
10 = 494339014.13804335744.13494319424.11934321014.1208262137580534.1281
N 10 = 502266452.16152268802.16372266902.16192266842.1618137309534012.1623
11 = 511600321.52621599881.52581602411.52821602551.528396972895881.5271
11 = 521970631.87931969801.87851965391.87431963501.8725119140439141.8762
11 = 532355792.24672354542.24552368462.25872370392.2606143053764622.2528
11 = 542791822.66252791052.66182785462.65642783162.6542168821274042.6585
N 11 = 552086631.99002088351.99162086161.98952085841.9892126372165241.9901
12 = 56669180.6382667660.6367666570.6357666330.635540420664590.6365
12 = 57823170.7850824100.7859826600.7883826400.788149965767870.7868
12 = 581004120.95761004110.95761005210.95861005780.959260849389980.9582
12 = 591195021.13971195481.14011196771.14131196041.140672417487111.1404
N 12 = 601621821.54671622511.54731612551.53781614101.539397970009901.5428
13 = 61156340.1491156770.1495157060.1498157620.15039504679740.1497
13 = 62185760.1772184600.1760186720.1781186370.177711255760930.1773
13 = 63213920.2040213660.2038214740.2048214550.204612972928730.2043
13 = 64245530.2342245540.2342246770.2353247050.235614911139120.2348
N 13 = 65723060.6896723270.6898720930.6875720770.687443724494230.6886
661048576040.09281048576040.09271048576040.09051048576040.090463501355960040.0915

 Stats 8H01   Main Top   Random Solved Deals

## On-lead highest make = O

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

ValueNorthSouthWestEastEmpirical
None = 0180.0002180.0002230.0002230.000212414720.0002
1 = 1540.0005540.0005520.0005540.000532399390.0005
1 = 21690.00161670.00161440.00141440.001494473000.0015
1 = 33610.00343630.00353470.00333540.0034215743620.0034
1 = 46970.00666990.00677080.00687050.0067425279880.0067
N 1 = 54460.00434490.00434230.00404230.0040263888510.0042
2 = 613570.012913480.012914570.013914540.0139849954160.0134
2 = 723120.022023600.022523690.022623540.02241422242490.0224
2 = 838310.036538320.036538150.036438010.03622312922990.0364
2 = 960110.057360180.057459790.057059820.05703632668340.0572
N 2 = 1021210.020220780.019821060.020121120.02011274325640.0201
3 = 1181110.077481040.077381740.078081780.07804930763630.0776
3 = 12114510.1092114530.1092114260.1090114800.10956935135390.1092
3 = 13164890.1573164600.1570166190.1585165500.157810008232920.1576
3 = 14229780.2191230680.2200230950.2203230340.219713953691650.2197
N 3 = 1587140.083186530.082583750.079984130.08025170579690.0814
4 = 16272960.2603272700.2601269770.2573270720.258216442540320.2589
4 = 17360460.3438360850.3441357480.3409357350.340821743777370.3424
4 = 18477610.4555478650.4565475780.4537476900.454828902680540.4552
4 = 19631770.6025629370.6002632310.6030633070.603738251116480.6024
N 4 = 20261740.2496263110.2509267020.2547267280.254916033914330.2525
5 = 21658990.6285658440.6279662020.6314661580.630939987057760.6297
5 = 22833700.7951833660.7950837370.7986837360.798650599675610.7968
5 = 231064411.01511067341.01791063421.01421061621.012464449204731.0149
5 = 241348011.28561349431.28691349621.28711349841.287381711722201.2868
N 5 = 25607760.5796605180.5771608390.5802609200.581036806466930.5796
6 = 261279431.22021280461.22111281611.22221282371.223077575803481.2216
6 = 271568431.49581569811.49711577741.50471575281.502395250277711.5000
6 = 281940541.85061937761.84801946181.85601946041.8559117646584911.8527
6 = 292392072.28132389632.27892400722.28952400482.2893145092806772.2849
N 6 = 301110561.05911109001.05761116351.06461115461.063867409207181.0615
7 = 312050731.95572052141.95712036961.94262037071.9427123797321921.9495
7 = 322472942.35842466202.35202474922.36032473932.3593149709871612.3576
7 = 332989992.85152992132.85352977432.83952976912.8390180711851102.8458
7 = 343600733.43393602943.43603608603.44143606383.4393218302716413.4378
N 7 = 351884951.79761888321.80081883731.79651887631.8002114245859881.7991
8 = 362704962.57972705022.57972691402.56672691242.5666163394981382.5731
8 = 373253223.10253253643.10293256103.10533254943.1042197093831813.1038
8 = 383899233.71863895693.71523897853.71733898943.7183236057583523.7174
8 = 394638714.42384643614.42854635654.42094633574.4189280859281854.4229
N 8 = 402686142.56172685452.56102685392.56102688522.5640162709295172.5623
9 = 412906682.77202907682.77302907892.77322909602.7748176104627202.7732
9 = 423523563.36033523803.36063521203.35813520353.3573213307305393.3591
9 = 434193533.99934191163.99704197874.00344201354.0067254095718224.0014
9 = 444965894.73584962034.73224960584.73084960034.7303300486954984.7320
N 9 = 453320063.16633313543.16003329563.17533328283.1741201252157583.1693
10 = 462511892.39552510832.39452503232.38732501482.3856151809473362.3906
10 = 473024632.88453029702.88933037222.89653036372.8957183603723982.8913
10 = 483593513.42703593693.42723608913.44173602043.4352217970244133.4325
10 = 494213504.01834217394.02204206284.01144208014.0131255009865574.0158
N 10 = 503801023.62493801843.62573784013.60873785293.6099229712904353.6174
11 = 511673741.59621676231.59861675571.59791678691.6009101498969901.5984
11 = 521995731.90331995401.90301993721.90141992601.9003120771158101.9019
11 = 532325092.21742326962.21922336392.22822338022.2297141194130332.2235
11 = 542718132.59222718692.59272694572.56972695402.5705163907315702.5812
N 11 = 553794683.61893791753.61613785003.60973781363.6062229412831473.6127
12 = 56908200.8661907900.8658908740.8666908430.866355007204190.8662
12 = 571026980.97941028230.98061028360.98071029450.981862270269880.9806
12 = 581156911.10331156131.10261164561.11061167941.113870331511271.1076
12 = 591292931.23301293441.23351300261.24001300281.240078529314581.2367
N 12 = 602947652.81112946982.81052947732.81122947332.8108178494763702.8109
13 = 61336990.3214337180.3216335540.3200336340.320820379066510.3209
13 = 62360010.3433359400.3428362680.3459362450.345721870195560.3444
13 = 63380450.3628380890.3632383650.3659383780.366023145429600.3645
13 = 64405400.3866405610.3868404080.3854404100.385424514379630.3860
N 13 = 651639201.56331639381.56341635071.55931634341.558699135933831.5612
661048576042.02321048576042.02371048576042.01991048576042.020363501355960042.0216

 Stats 8H01   Main Top   Random Solved Deals

## Best scoring make = B

 Best scoring undoubled makable contract at double-dummy

ValueNorthSouthWestEastEmpirical
None = 0196949818.7826196964518.7840197238618.8101197218618.808211935899878318.7963
1 = 12496942.38132496222.38062482452.36742481662.3667150754373522.3740
1 = 22962072.82492964892.82752965122.82782969552.8320179586502112.8281
1 = 33533523.36983529303.36583521863.35873524173.3609213619944393.3640
1 = 44215334.02014217074.02174214174.01894214254.0190255284806214.0201
1 N = 51512141.44211511231.44121514021.44391508461.438691542061261.4416
2 = 63108732.96473109442.96543096342.95293097192.9537187915114182.9592
2 = 73645363.47653646993.47803650063.48103647183.4782220888006253.4785
2 = 84289964.09124288094.08944297064.09804299394.1002260021022084.0947
2 = 95038314.80495037234.80395031824.79875035294.8020304961099134.8024
3 = 102506992.39092507202.39112502722.38682502682.3867151688808332.3887
3 = 112910352.77552908822.77412920212.78492917522.7824176477674412.7791
2 N = 123498313.33623498203.33613499833.33773500353.3382211921701463.3373
4 = 131380451.31651382291.31831377101.31331376541.312883520789221.3153
4 = 141694381.61591696251.61771707771.62871709301.6301103067918051.6231
3 = 155017954.78555019094.78665023324.79065027654.7947304121742904.7892
3 = 165846935.57615845855.57505837005.56665832825.5626353692662105.5698
3 N = 173572703.40723572093.40663566433.40123569813.4044216218103153.4049
5 = 18812920.7753811830.7742811690.7741812520.774949189545040.7746
5 = 191041920.99371041200.99301042110.99381040640.992463074198740.9933
4 = 204058493.87054061093.87304073603.88494069263.8807246198139193.8771
4 = 214758254.53784755624.53534739794.52024741414.5218287568681294.5285
4 N = 223188463.04083189523.04183185273.03773183703.0362192993189063.0392
5 = 232355792.24672354542.24552368462.25872370392.2606143053764622.2528
5 = 242791822.66252791052.66182785462.65642783162.6542168821274042.6585
5 N = 252086631.99002088351.99162086161.98952085841.9892126372165241.9901
6 = 26669180.6382667660.6367666570.6357666330.635540420664590.6365
6 = 27823170.7850824100.7859826600.7883826400.788149965767870.7868
6 = 281004120.95761004110.95761005210.95861005780.959260849389980.9582
6 = 291195021.13971195481.14011196771.14131196041.140672417487111.1404
6 N = 301621821.54671622511.54731612551.53781614101.539397970009901.5428
7 = 31156340.1491156770.1495157060.1498157620.15039504679740.1497
7 = 32185760.1772184600.1760186720.1781186370.177711255760930.1773
7 = 33213920.2040213660.2038214740.2048214550.204612972928730.2043
7 = 34245530.2342245540.2342246770.2353247050.235614911139120.2348
7 N = 35723060.6896723270.6898720930.6875720770.687443724494230.6886
361048576011.43591048576011.43581048576011.43391048576011.433763501355960011.4347

 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
0 = 000002540.0024
70 = 12690.00512760.00535450.0052
80 = 2128860.2458126420.2411255280.2435
90 = 31557242.97101559292.97353116532.9722
100 = 485082816.232585238216.2544170321016.2431
110 = 52358694.50002358114.49684716804.4983
120 = 62123624.05152136164.07354259784.0624
130 = 71979213.77601983733.78293962943.7794
140 = 856269710.735456425110.7599112694810.7474
300 = 102870685.47682870725.47435741405.4754
400 = 114290908.18644278958.15978569858.1728
420 = 1258649811.189558583211.1715117233011.1802
430 = 133182406.07153174956.05446357356.0628
450 = 144698078.96324706198.97449404268.9686
460 = 152199964.19722200384.19604400344.1965
500 = 16211160.4029213390.4069424550.4049
800 = 22461260.8800465900.8884927160.8842
920 = 231159572.21231157322.20692316892.2096
980 = 241897043.61931896903.61733793943.6182
990 = 251777173.39061767783.37113544953.3807
1100 = 2641200.078640800.077882000.0782
1400 = 2862220.118762770.1197124990.1192
1440 = 30251750.4803252960.4824504710.4813
1510 = 31432180.8245433140.8260865320.8252
1520 = 32728921.3907726771.38591455691.3883
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
0 = 000002540.0024
70 = 12690.00512760.00535450.0052
80 = 2128860.2458126420.2411255280.2435
90 = 31557242.97101559292.97353116532.9722
100 = 485082816.2325008508288.1141
110 = 52358694.500056535810.78108012277.6411
120 = 62123624.05152966185.65635089804.8540
130 = 71979213.77602571514.90374550724.3399
140 = 856269710.735480505915.3520136775613.0439
200 = 9001402472.67441402471.3375
300 = 102870685.4768002870682.7377
400 = 11005061809.65255061804.8273
420 = 120074129414.13607412947.0695
430 = 13003291476.27663291473.1390
450 = 14005037669.60655037664.8043
460 = 15002212204.21852212202.1097
500 = 164573418.725473440.14004646854.4316
600 = 172951315.6307002951312.8146
620 = 183880767.4039003880763.7010
630 = 192862025.4603002862022.7294
650 = 204027287.6834004027283.8407
660 = 212152694.1070002152692.0530
800 = 22461260.8800213390.4069674650.6434
920 = 23001361592.59651361591.2985
980 = 24002112964.02932112962.0151
990 = 25001792063.41741792061.7090
1100 = 26783581.495021290.0406804870.7676
1370 = 27863031.646500863030.8230
1400 = 28721981.377440800.0778762780.7274
1430 = 291044031.9919001044030.9957
1440 = 301524582.9087297410.56711821991.7376
1510 = 3100451460.8609451460.4305
1520 = 3200726771.3859726770.6931
1700 = 3381860.15620081860.0781
2000 = 3496290.18370096290.0918
2140 = 35126550.241400126550.1207
2210 = 36379230.723500379230.3617
2220 = 37728921.390700728920.6952
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
0 = 000002540.0024
70 = 12690.00512760.00535450.0052
80 = 2128860.2458126420.2411255280.2435
90 = 31557242.97101559292.97353116532.9722
100 = 40085238216.25448523828.1289
110 = 556448110.76952358114.49688002927.6322
120 = 62957805.64302136164.07355093964.8580
130 = 72562434.88871983733.78294546164.3356
140 = 880308615.321756425110.7599136733713.0399
200 = 91400872.6726001400871.3360
300 = 10002870725.47432870722.7377
400 = 115070809.6743005070804.8359
420 = 1274226214.1612007422627.0788
430 = 133299396.2947003299393.1465
450 = 145027829.5923005027824.7949
460 = 152212444.2210002212442.1099
500 = 1673920.14104578968.73184652884.4373
600 = 17002938585.60372938582.8024
620 = 18003868527.37703868523.6893
630 = 19002857575.44922857572.7252
650 = 20004034757.69404034753.8478
660 = 21002153804.10722153802.0540
800 = 22211160.4029465900.8884677060.6457
920 = 231363972.6023001363971.3008
980 = 242110254.0260002110252.0125
990 = 251800893.4358001800891.7175
1100 = 2619930.0380775771.4793795700.7588
1370 = 2700863161.6460863160.8232
1400 = 2841200.0786719261.3716760460.7252
1430 = 29001049522.00141049521.0009
1440 = 30295620.56401517862.89451813481.7295
1510 = 31450530.859500450530.4297
1520 = 32728921.390700728920.6952
1700 = 330083640.159583640.0798
2000 = 340096530.184196530.0921
2140 = 3500126350.2409126350.1205
2210 = 3600379580.7238379580.3620
2220 = 3700726771.3859726770.6931
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
0 = 000002540.0024
70 = 12690.00512760.00535450.0052
80 = 2128860.2458126420.2411255280.2435
90 = 31557242.97101559292.97353116532.9722
110 = 556448110.769556535810.7810112983910.7750
120 = 62957805.64302966185.65635923985.6495
130 = 72562434.88872571514.90375133944.8961
140 = 880308615.321780505915.3520160814515.3365
200 = 91400872.67261402472.67442803342.6735
500 = 162870685.47682870725.47435741405.4754
600 = 174290908.18644278958.15978569858.1728
620 = 1858649811.189558583211.1715117233011.1802
630 = 193182406.07153174956.05446357356.0628
650 = 204698078.96324706198.97449404268.9686
660 = 212199964.19722200384.19604400344.1965
800 = 22211160.4029213390.4069424550.4049
1100 = 26461260.8800465900.8884927160.8842
1370 = 271159572.21231157322.20692316892.2096
1400 = 28487040.9292481610.9184968650.9238
1430 = 291525372.91021529132.91603054502.9130
1440 = 301703003.24911694743.23183397743.2403
1700 = 3362220.118762770.1197124990.1192
2000 = 3481860.156283640.1595165500.1578
2140 = 35193190.3686193360.3687386550.3686
2210 = 36408880.7801409100.7801817980.7801
2220 = 37728921.3907726771.38591455691.3883
26524150214.8996524400414.89001048576014.8945

 Stats 8H01   Main Top   Random Solved Deals

## LoTT 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

## LoTT 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

## LoTT 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

## LoTT 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

## LoTT 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

## LoTT 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

## LoTT 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

## LoTT 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

 Stats 8H01   Main Top   Random Solved Deals

## LoTT 22 trumps

 As previous but with 22 total trumps

TricksLongest by LongerLongest Right-sidedBest Fit by LongerBest Fit Right-sided
1610.003310.003310.003310.0033
17270.0895250.0829220.0729210.0696
187782.57887122.36007162.37336582.1810
19407813.5172383512.7117386112.7979361511.9825
20896629.7192875129.0066882129.2386858528.4564
21948831.4495955031.6550956231.6948961531.8705
22504916.7357528517.5180524017.3688549318.2074
2314964.958716385.429416265.389617755.8835
242630.87183341.10712920.96793631.2032
25220.0729360.1193260.0862410.1359
2610.003320.006620.006620.0066
113016920.64713016920.70353016920.69173016920.7490

### Double-dummy stats for 10,485,760 deals

 Stats 8H01   Main Top   Random Solved Deals