Stats 8H30   Main


RP BBO Matches


  by Richard Pavlicek

Double-dummy stats for 53,327 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
09311.74589261.73658511.59588521.597799135933831.5612
120543.851720473.838619843.720419903.7317231457626773.6449
231965.993232236.043830265.674430295.6800379779320675.9806
344478.339144608.363544188.284744268.2997528710698468.3260
4574910.7807570710.7019562910.5556559310.48816752419474210.6335
5666012.4890661112.3971658612.3502657412.32778010171462812.6142
6756914.1936761014.2704780214.6305781514.65499073044133214.2880
7708613.2878705213.2241695313.0384700313.13228440215867213.2914
8589011.0451593911.1369590911.0807589611.05637123710456811.2182
939887.478440117.521540527.598440807.6509477020495637.5120
1027155.091227115.083728225.291927875.2262325690654405.1289
1116253.047216113.021017823.341617733.3248206008660923.2442
1210261.924010301.931510782.021510742.0140118651571671.8685
133910.73323890.72954350.81574350.815743724494230.6886
14533275.9732533275.9752533276.0452533276.04356350135596006.0066

Stats 8H30   MainTop   RP BBO Matches

Spade make = sm

Winnable tricks at double-dummy with spades trump

ValueNorthSouthWestEastEmpirical
06251.17206261.17395871.10085811.089569498930151.0944
115532.912215552.916014832.781014932.7997176468174122.7790
228895.417528665.374426925.048126905.0443329924528295.1956
342057.885342297.930342287.928442437.9566504766525427.9489
4561210.5237562210.5425553410.3775550110.31566637297543810.4522
5653012.2452651712.2208660612.3877661112.39717782192531512.2552
6694313.0197690712.9522675112.6596677712.70848255185434513.0000
7665812.4852663812.4477669012.5452667612.51908076082273712.7180
8617311.5757623711.6958621311.6508622211.66767346563395411.5691
949689.316149539.288050949.552451039.5693604891624829.5256
1037186.972137096.955237256.985237026.9421436617506886.8757
1121093.954821394.011123374.382423314.3711263777875484.1539
1210621.991510511.970910862.036510992.0609121285271361.9100
132820.52882780.52133010.56442980.558833173041590.5224
14533276.2669533276.2684533276.3290533276.32856350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Heart make = hm

Winnable tricks at double-dummy with hearts trump

ValueNorthSouthWestEastEmpirical
06351.19086271.17586221.16646121.147669498930151.0944
115482.902815552.916014822.779114952.8035176468174122.7790
228205.288127985.246926815.027526614.9900329924528295.1956
343138.087843488.153542107.894742287.9284504766525427.9489
4557310.4506554310.3944559710.4956558610.47506637297543810.4522
5654512.2733655012.2827651412.2152648212.15527782192531512.2552
6687612.8940685712.8584683912.8246686112.86598255185434513.0000
7673012.6202675212.6615668312.5321673312.62598076082273712.7180
8605111.3470606211.3676623611.6939621111.64707346563395411.5691
951039.569350939.550550649.496150889.5411604891624829.5256
1036466.837136546.852137367.005837146.9646436617506886.8757
1121394.011121474.026122474.213622454.2099263777875484.1539
1210581.984010491.967110992.060910932.0496121285271361.9100
132900.54382920.54763170.59443180.596333173041590.5224
14533276.2689533276.2707533276.3213533276.32176350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Diamond make = dm

Winnable tricks at double-dummy with diamonds trump

ValueNorthSouthWestEastEmpirical
06671.25086701.25645581.04645651.059569498930151.0944
115432.893515402.887814832.781014762.7678176468174122.7790
227995.248727895.230027155.091227185.0969329924528295.1956
343688.191043458.147841467.774741577.7953504766525427.9489
4551510.3419555610.4187552110.3531552210.35506637297543810.4522
5645712.1083645912.1121665012.4702663012.43277782192531512.2552
6690912.9559689112.9222685612.8565684512.83598255185434513.0000
7682912.8059681812.7853678312.7196680512.76098076082273712.7180
8625311.7258621911.6620605111.3470608911.41827346563395411.5691
949669.312450319.434251399.636850849.5336604891624829.5256
1035676.688935756.703937136.962737166.9683436617506886.8757
1121694.067421394.011123044.320523054.3224263777875484.1539
1210301.931510381.946510732.012110842.0327121285271361.9100
132550.47822570.48193350.62823310.620733173041590.5224
14533276.2589533276.2604533276.3320533276.33116350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Club make = cm

Winnable tricks at double-dummy with clubs trump

ValueNorthSouthWestEastEmpirical
06451.20956561.23016271.17586251.172069498930151.0944
116003.000415712.946014492.717214432.7059176468174122.7790
227205.100627455.147527505.156927575.1700329924528295.1956
341177.720341357.754041687.815941947.8647504766525427.9489
4564510.5856562510.5481544010.2012542110.16566637297543810.4522
5675612.6690673312.6259645112.0971644312.08217782192531512.2552
6684812.8415682712.8021692612.9878693813.01038255185434513.0000
7697213.0741698713.1022679012.7328676112.67848076082273712.7180
8596311.1820596411.1838639511.9920641612.03147346563395411.5691
949019.190549249.233650869.537450859.5355604891624829.5256
1036606.863336626.867135736.700235866.7245436617506886.8757
1121704.069221724.073021904.106721894.1049263777875484.1539
1210451.959610441.957711492.154611402.1378121285271361.9100
132850.53442820.52883330.62443290.616933173041590.5224
14533276.2665533276.2677533276.3275533276.32676350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Longest fit = lf

Number of cards in longest trump fit

ValueNorthSouthWestEastTheoretical (exact)
7844015.8269844015.8269852915.9938852915.99381300649843750415.7363
82434245.64672434245.64672421945.41602421945.41603780937365390945.7447
91495928.05151495928.05151510628.32711510628.32712322544099232528.0999
1046168.656046168.656045248.483545248.483571684010398008.6729
118921.67278921.67278511.59588511.595813072274350201.5816
12740.1388740.1388950.1781950.17811307323158310.1582
1340.007540.007530.005630.005654149502950.0066
7533278.3515533278.3515533278.3483533278.3483826530888246848.3512

Stats 8H30   MainTop   RP BBO Matches

Longest fit make = lm

Winnable tricks at double-dummy with longest fit trumps

ValueNorthSouthWestEastEmpirical
030.005630.005640.007530.0056228763940.0036
1230.0431250.0469200.0375210.03942512466910.0396
21500.28131440.27001390.26071380.258815561246560.2451
35020.94145020.94144960.93014960.930158927227890.9280
414182.659114352.690914022.629114012.6272164098835472.5842
531765.955731585.922030455.710130555.7288356432984555.6130
652149.777451669.687449989.372449879.3517620312562339.7685
7768814.4167770314.4448738513.8485740613.88798999974419014.1729
8920917.2689923317.3139922317.2952922717.302711009984284917.3382
9929617.4321929917.4377952717.8652951417.840911317316747117.8222
10806915.1312809415.1781803115.0599802515.04879591976422515.1052
1151829.717451779.7080542110.1656541810.16006415044902410.1022
1226634.993726554.978727865.224427955.2412311125613464.8995
137341.37647331.37458501.59398411.577187506217301.3780
14533278.3449533278.3466533278.4057533278.40466350135596008.3753

Stats 8H30   MainTop   RP BBO Matches

Best fit = bf

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

ValueNorthSouthWestEastEmpirical
530.005630.005620.003820.0038104616730.0016
6950.1781820.1538980.18381010.189412220778350.1924
7891416.7157891016.7082896516.8114896816.817010535121225516.5904
82408545.16472409945.19102396944.94722395544.921028723408943645.2327
91467127.51141468127.53011486227.86961487127.886417543724513327.6273
1045968.618545908.607344888.416044878.4141547010147898.6141
118851.65968841.65778451.58468451.5846100081874981.5761
12740.1388740.1388950.1781950.178110063644960.1585
1340.007540.007530.005630.0056429064850.0068
9533278.3323533278.3328533278.3301533278.33006350135596008.3327

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
1160.0300170.0319140.0263140.02631322319130.0208
21390.26071350.25321160.21751120.210013396240420.2110
34850.90954850.90954850.90954880.915156710897480.8931
413692.567213772.582213772.582213662.5616161775920152.5476
531575.920131545.914530375.695130595.7363354151855365.5771
652029.754951559.666849659.310549509.2824617759369089.7283
7767314.3886769114.4223737813.8354740213.88048971132903714.1275
8918717.2277919217.2370920017.2520919917.250210996282672717.3166
9933317.5015934317.5202953417.8784952617.863411330508144617.8429
10806715.1274809615.1818805615.1068804115.07879618745285115.1473
1152169.781252129.7737544210.2050545110.22186454782605910.1648
1227135.087527045.070628405.325628435.3313316465305874.9836
137691.44207651.43458831.65588761.642791393387411.4392
14533278.3640533278.3653533278.4238533278.42316350135596008.3938

Stats 8H30   MainTop   RP BBO Matches

Highest make = H

Highest makable strain-tricks at double-dummy

ValueNorthSouthWestEastEmpirical
None = 010.001910.0019000015139900.0002
C 1 = 1000020.003820.003840272140.0006
D 1 = 230.005640.007520.003820.0038116123060.0018
H 1 = 320.003820.003820.003820.0038258740940.0041
S 1 = 480.015080.015040.007540.0075532318990.0084
N 1 = 530.005630.005640.007540.0075369565030.0058
C 2 = 680.015080.0150110.0206120.02251203168100.0189
D 2 = 7220.0413200.0375190.0356190.03561986355280.0313
H 2 = 8330.0619350.0656320.0600300.05633266282690.0514
S 2 = 9560.1050540.1013390.0731380.07135009188330.0789
N 2 = 10190.0356170.0319140.0263120.02251851458750.0292
C 3 = 11540.1013510.0956570.1069560.10507089865200.1116
D 3 = 12910.1706950.17811040.19501060.19889986582860.1573
H 3 = 131180.22131140.21381090.20441090.204413953388860.2197
S 3 = 141600.30001630.30571530.28691550.290719101258690.3008
N 3 = 15580.1088580.1088570.1069590.11066005091150.0946
C 4 = 162090.39192120.39751900.35631860.348822892290420.3605
D 4 = 172470.46322430.45572630.49322660.498829946122650.4716
H 4 = 183140.58883110.58323310.62073300.618839039754030.6148
S 4 = 194350.81574430.83074320.81014260.798850810120260.8001
N 4 = 201470.27571480.27751430.26821430.268217133222700.2698
C 5 = 215491.02955330.99954510.84574530.849553908350020.8489
D 5 = 226451.20956481.21515901.10645931.112067655836201.0654
H 5 = 237391.38587531.41207171.34457251.359584987694421.3384
S 5 = 248681.62778631.61839191.72339201.7252106023984131.6696
N 5 = 253260.61133370.63203250.60943270.613237903504300.5969
C 6 = 268661.62398671.62587911.48337861.473999666436031.5695
D 6 = 2710251.922110011.87719661.81159751.8283121097120211.9070
H 6 = 2812322.310312212.289612082.265312022.2540147291120692.3195
S 6 = 2915092.829715112.833514542.726614432.7059179102025212.8204
N 6 = 305290.99205090.95455170.96955220.978965347606581.0291
C 7 = 3113302.494013202.475312762.392812982.4340150754373522.3740
D 7 = 3215582.921615632.931014922.797814882.7903179586502112.8281
H 7 = 3317973.369818153.403517243.232917493.2798213619944393.3640
S 7 = 3421083.953021193.973621183.971720843.9080255284806214.0201
N 7 = 357961.49277991.49837251.35957351.378391542061251.4416
C 8 = 3615622.929115732.949716313.058516253.0472187915114182.9592
D 8 = 3718393.448518623.491717503.281617543.2891220888006253.4785
H 8 = 3821944.114222044.133022414.202422184.1592260021022084.0947
S 8 = 3925824.841825534.787425634.806225864.8493304961099134.8024
N 8 = 4010011.87719901.85659621.80409561.7927121734661531.9170
C 9 = 4115492.904715332.874715712.946015932.9872191553989883.0165
D 9 = 4218153.403518433.456019443.645419173.5948226799532803.5716
H 9 = 4322634.243622444.208022694.254922754.2661266450030524.1960
S 9 = 4425754.828725974.870026114.896226044.8831311169216384.9002
N 9 = 4511262.111511262.111511742.201511732.1996137764185292.1695
C 10 = 4613332.499713592.548413032.443412982.4340156781266132.4689
D 10 = 4715572.919715442.895316033.006016173.0322188456517112.9678
H 10 = 4818423.454218553.478518263.424218353.4410223463303763.5190
S 10 = 4922324.185522224.166721984.121722034.1311262137580534.1281
N 10 = 5011772.207111712.195911652.184611312.1209137309534012.1623
C 11 = 517791.46087771.45707651.43457601.425296972895881.5271
D 11 = 529731.82469621.80409921.860210011.8771119140439141.8762
H 11 = 5311622.179011602.175311792.210911782.2090143053764622.2528
S 11 = 5413572.544713832.593415282.865315202.8503168821274042.6585
N 11 = 5510121.89779981.871510441.957710561.9802126372165241.9901
C 12 = 563570.66953490.65453840.72013800.712640420664590.6365
D 12 = 573920.73513970.74454270.80074350.815749965767870.7868
H 12 = 585240.98265260.98645501.03145391.010760849389980.9582
S 12 = 596161.15516031.13086231.16836321.185172417487111.1404
N 12 = 608591.61088711.63338871.66338941.676497970009901.5428
C 13 = 61790.1481730.1369990.1856970.18199504679740.1497
D 13 = 62850.1594850.15941060.19881020.191311255760930.1773
H 13 = 631050.19691070.20061210.22691210.226912972928730.2043
S 13 = 641240.23251220.22881350.25321310.245714911139120.2348
N 13 = 653910.73323890.72954350.81574350.815743724494230.6886
665332739.94105332739.94355332740.23925332740.233663501355960040.0915

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 = 1000020.003820.003832399390.0005
D 1 = 230.005630.005620.003820.003894473000.0015
H 1 = 320.003820.003820.003820.0038215743620.0034
S 1 = 480.015080.015030.005630.0056425279880.0067
N 1 = 530.005620.003840.007530.0056263888510.0042
C 2 = 660.011350.009470.013160.0113849954160.0134
D 2 = 7130.0244150.0281150.0281130.02441422242490.0224
H 2 = 8220.0413210.0394230.0431210.03942312922990.0364
S 2 = 9380.0713380.0713280.0525320.06003632668340.0572
N 2 = 10140.0263110.0206100.0188110.02061274325640.0201
C 3 = 11350.0656410.0769380.0713430.08064930763630.0776
D 3 = 12750.1406770.1444610.1144570.10696935135390.1092
H 3 = 13840.1575840.1575790.1481790.148110008232920.1576
S 3 = 141230.23071240.23251090.20441160.217513953691650.2197
N 3 = 15400.0750470.0881450.0844440.08255170579690.0814
C 4 = 161350.25321300.24381460.27381420.266316442540320.2589
D 4 = 171860.34881840.34501940.36382020.378821743777370.3424
H 4 = 182330.43692420.45382330.43692370.444428902680540.4552
S 4 = 193490.65453310.62073390.63573290.616938251116480.6024
N 4 = 201280.24001170.21941320.24751330.249416033914330.2525
C 5 = 213780.70883870.72573340.62633180.596339987057760.6297
D 5 = 224430.83074530.84954200.78764230.793250599675610.7968
H 5 = 235631.05585641.05765541.03895431.018264449204731.0149
S 5 = 246851.28456901.29397111.33337081.327781711722201.2868
N 5 = 253550.66573450.64703290.61693290.616936806466930.5796
C 6 = 267041.32026991.31086281.17766341.188977575803481.2216
D 6 = 278191.53588081.51527641.43277611.427095250277711.5000
H 6 = 2810061.886510301.93159721.82279711.8208117646584911.8527
S 6 = 2912302.306512302.306512132.274612082.2653145092806772.2849
N 6 = 305381.00895451.02205140.96395200.975167409207181.0615
C 7 = 3110752.015910752.01599991.873310251.9221123797321921.9495
D 7 = 3212592.360912522.347811582.171511672.1884149709871612.3576
H 7 = 3315092.829715032.818514892.792214742.7641180711851102.8458
S 7 = 3417943.364118003.375417983.371718383.4467218302716413.4378
N 7 = 359561.79279441.77029841.84529481.7777114245859881.7991
C 8 = 3614002.625313902.606614412.702214322.6853163394981382.5731
D 8 = 3716643.120416763.142916073.013516143.0266197093831813.1038
H 8 = 3820503.844220283.803020393.823620293.8048236057583523.7174
S 8 = 3923914.483724004.500523394.386123454.3974280859281854.4229
N 8 = 4013802.587814022.629113222.479013302.4940162709295172.5623
C 9 = 4114082.640313942.614114622.741614622.7416176104627202.7732
D 9 = 4217673.313517783.334117653.309817183.2216213307305393.3591
H 9 = 4321774.082421664.061721594.048621714.0711254095718224.0014
S 9 = 4425324.748125304.744325024.691825084.7031300486954984.7320
N 9 = 4516463.086616333.062216663.124116883.1654201252157583.1693
C 10 = 4612282.302812502.344012932.424712972.4322151809473362.3906
D 10 = 4715002.812814982.809116043.007916133.0247183603723982.8913
H 10 = 4818083.390418133.399818613.489818453.4598217970244133.4325
S 10 = 4920933.924820903.919221033.943620963.9305255009865574.0158
N 10 = 5019293.617319483.652919223.604219183.5967229712904353.6174
C 11 = 518781.64648831.65588281.55278221.5414101498969901.5984
D 11 = 529991.873310061.88659991.87339831.8433120771158101.9019
H 11 = 5311572.169611482.152811932.237112012.2521141194130332.2235
S 11 = 5413422.516513342.501514162.655314492.7172163907315702.5812
N 11 = 5518563.480418553.478518853.534818533.4748229412831473.6127
C 12 = 564410.82704300.80634870.91325040.945155007204190.8662
D 12 = 575090.95454990.93575180.97145280.990162270269880.9806
H 12 = 585911.10835851.09705881.10265811.089570331511271.1076
S 12 = 596201.16266331.18706821.27896851.284578529314581.2367
N 12 = 6015052.822215162.842815672.938515802.9629178494763702.8109
C 13 = 611930.36191870.35072020.37881930.361920379066510.3209
D 13 = 621680.31501720.32252140.40132140.401321870195560.3444
H 13 = 632110.39572050.38441990.37322020.378823145429600.3645
S 13 = 642210.41442180.40881990.37321910.358224514379630.3860
N 13 = 658511.59588521.59779261.73659311.745899135933831.5612
665332741.87355332741.87145332742.15105332742.156463501355960042.0216

Stats 8H30   MainTop   RP BBO Matches

Best scoring make = B

Best scoring undoubled makable contract at double-dummy

ValueNorthSouthWestEastEmpirical
None = 01027619.26981023319.1892990618.5760990718.577811935899878318.7963
1 C = 113302.494013202.475312762.392812982.4340150754373522.3740
1 D = 215582.921615632.931014922.797814882.7903179586502112.8281
1 H = 317973.369818153.403517243.232917493.2798213619944393.3640
1 S = 421083.953021193.973621183.971720843.9080255284806214.0201
1 N = 57961.49277991.49837251.35957351.378391542061261.4416
2 C = 615622.929115732.949716313.058516253.0472187915114182.9592
2 D = 718393.448518623.491717503.281617543.2891220888006253.4785
2 H = 821944.114222044.133022414.202422184.1592260021022084.0947
2 S = 925824.841825534.787425634.806225864.8493304961099134.8024
3 C = 1012152.278412032.255912342.314012482.3403151688808332.3887
3 D = 1113982.621614182.659115252.859714922.7978176477674412.7791
2 N = 1217523.285417453.272317183.221617263.2366211921701463.3373
4 C = 137051.32207141.33897201.35027171.344583520789221.3153
4 D = 148461.58648511.59588711.63338801.6502103067918051.6231
3 H = 1525924.860625764.830625834.843725934.8625304121742904.7892
3 S = 1629295.492529295.492529655.560029585.5469353692662105.5698
3 N = 1717823.341618003.375418213.414818193.4110216218103153.4049
5 C = 183830.71823880.72763790.71073870.725749189545040.7746
5 D = 195200.97515180.97145080.95265210.977063074198740.9933
4 H = 2020263.799220343.814220213.789820253.7973246198139193.8771
4 S = 2124454.584924374.569924014.502423994.4987287568681294.5285
4 N = 2216293.054716103.019116373.069715982.9966192993189063.0392
5 H = 2311622.179011602.175311792.210911782.2090143053764622.2528
5 S = 2413572.544713832.593415282.865315202.8503168821274042.6585
5 N = 2510121.89779981.871510441.957710561.9802126372165241.9901
6 C = 263570.66953490.65453840.72013800.712640420664590.6365
6 D = 273920.73513970.74454270.80074350.815749965767870.7868
6 H = 285240.98265260.98645501.03145391.010760849389980.9582
6 S = 296161.15516031.13086231.16836321.185172417487111.1404
6 N = 308591.61088711.63338871.66338941.676497970009901.5428
7 C = 31790.1481730.1369990.1856970.18199504679740.1497
7 D = 32850.1594850.15941060.19881020.191311255760930.1773
7 H = 331050.19691070.20061210.22691210.226912972928730.2043
7 S = 341240.23251220.22881350.25321310.245714911139120.2348
7 N = 353910.73323890.72954350.81574350.815743724494230.6886
365332711.33875332711.33865332711.59015332711.582363501355960011.4347

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 = 120.007640.014960.0113
80 = 2680.2575600.22291280.2400
90 = 38363.16527832.909216193.0360
100 = 4428816.2350430215.9837859016.1082
110 = 511434.327611914.425023344.3768
120 = 610844.104210433.875221273.9886
130 = 710313.903510273.815720583.8592
140 = 8283510.7338294010.9233577510.8294
300 = 1014255.395313795.123528045.2581
400 = 1121558.159221387.943542938.0503
420 = 12292011.0556298911.1053590911.0807
430 = 1316196.129816266.041232456.0851
450 = 1423258.802824739.188247988.9973
460 = 1510563.998210934.060921494.0299
500 = 161210.45811020.37902230.4182
800 = 222480.93902430.90284910.9207
920 = 235922.24146452.396412372.3197
980 = 249443.574110133.763719573.6698
990 = 259463.58179733.615119193.5986
1100 = 26160.0606310.1152470.0881
1400 = 28250.0947350.1300600.1125
1440 = 301260.47711500.55732760.5176
1510 = 312150.81402370.88054520.8476
1520 = 323921.48424381.62738301.5564
252641211.19812691511.37045332711.2851

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 = 120.007640.014960.0113
80 = 2680.2575600.22291280.2400
90 = 38363.16527832.909216193.0360
100 = 4428816.23500042888.0410
110 = 511434.3276284810.581539917.4840
120 = 610844.104214365.335325204.7256
130 = 710313.903513174.893223484.4030
140 = 8283510.7338416015.4561699513.1172
200 = 9007422.75687421.3914
300 = 1014255.39530014252.6722
400 = 110025329.407425324.7481
420 = 1200370813.776737086.9533
430 = 130016896.275316893.1673
450 = 140026419.812426414.9525
460 = 150011024.094411022.0665
500 = 1622798.6287260.096623054.3224
600 = 1714895.63760014892.7922
620 = 1819427.35270019423.6417
630 = 1914495.48610014492.7172
650 = 2020037.58370020033.7561
660 = 2110343.91490010341.9390
800 = 222480.93901020.37903500.6563
920 = 23007552.80517551.4158
980 = 240011234.172411232.1059
990 = 25009863.66349861.8490
1100 = 264161.5750100.03724260.7988
1370 = 274361.6508004360.8176
1400 = 283661.3857310.11523970.7445
1430 = 295001.8931005000.9376
1440 = 308053.04791760.65399811.8396
1510 = 31002460.91402460.4613
1520 = 32004381.62734380.8213
1700 = 33440.166600440.0825
2000 = 34450.170400450.0844
2140 = 35640.242300640.1200
2210 = 361880.7118001880.3525
2220 = 373921.4842003920.7351
382641213.84362691511.96335332712.8946

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 = 120.007640.014960.0113
80 = 2680.2575600.22291280.2400
90 = 38363.16527832.909216193.0360
100 = 400430215.983743028.0672
110 = 5282610.699711914.425040177.5328
120 = 614845.618710433.875225274.7387
130 = 712894.880410273.815723164.3430
140 = 8405515.3529294010.9233699513.1172
200 = 97272.7525007271.3633
300 = 100013795.123513792.5859
400 = 1125179.52980025174.7199
420 = 12372014.08450037206.9758
430 = 1316896.39480016893.1673
450 = 1424749.36700024744.6393
460 = 1510644.02850010641.9952
500 = 16360.136323268.642023624.4293
600 = 170014545.402214542.7266
620 = 180019827.363919823.7167
630 = 190014735.472814732.7622
650 = 200021267.898921263.9867
660 = 210010603.938310601.9877
800 = 221210.45812430.90283640.6826
920 = 236812.5784006811.2770
980 = 2410804.08910010802.0252
990 = 259583.6271009581.7965
1100 = 26110.04164001.48624110.7707
1370 = 27004961.84284960.9301
1400 = 28160.06063811.41563970.7445
1430 = 29006022.23676021.1289
1440 = 301450.54908183.03929631.8058
1510 = 312210.8367002210.4144
1520 = 323921.4842003920.7351
1700 = 3300480.1783480.0900
2000 = 3400410.1523410.0769
2140 = 3500830.3084830.1556
2210 = 36002150.79882150.4032
2220 = 37004381.62734380.8213
382641211.80582691514.05925332712.9431

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 = 120.007640.014960.0113
80 = 2680.2575600.22291280.2400
90 = 38363.16527832.909216193.0360
110 = 5282610.6997284810.5815567410.6400
120 = 614845.618714365.335329205.4757
130 = 712894.880413174.893226064.8868
140 = 8405515.3529416015.4561821515.4050
200 = 97272.75257422.756814692.7547
500 = 1614255.395313795.123528045.2581
600 = 1721558.159221387.943542938.0503
620 = 18292011.0556298911.1053590911.0807
630 = 1916196.129816266.041232456.0851
650 = 2023258.802824739.188247988.9973
660 = 2110563.998210934.060921494.0299
800 = 221210.45811020.37902230.4182
1100 = 262480.93902430.90284910.9207
1370 = 275922.24146452.396412372.3197
1400 = 282600.98442510.93265110.9582
1430 = 297402.80188383.113515782.9591
1440 = 309063.43039283.447918343.4392
1700 = 33250.0947350.1300600.1125
2000 = 34440.1666480.1783920.1725
2140 = 35910.34451120.41612030.3807
2210 = 362060.77992270.84344330.8120
2220 = 373921.48424381.62738301.5564
262641214.90072691515.09415332714.9983

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
12170.2992110.193660.105630.0528
1359210.41894628.13095319.34533997.0222
14287250.5456275548.4864289851.0032277948.9088
15184132.4006203235.7621187833.0517206636.3604
163205.63183786.65263275.75503896.8462
17370.6512410.7216390.6864430.7568
1820.035220.035220.035220.0352
1900000000
2010.017610.017610.017610.0176
9568214.3485568214.4296568214.3731568214.4544

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
1250.089240.07140000
13601.0705420.7493520.9277330.5888
1485815.307873113.041986015.343473613.1311
15271548.4389267747.7609272348.5816268147.8323
16166029.6164180332.1677166229.6521180432.1855
172704.81713075.47732714.83503105.5308
18360.6423400.7136360.6423400.7136
1910.017810.017810.017810.0178
8560515.2353560515.3058560515.2412560515.3115

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
1120.014010.00700000
12120.0842130.09120000
13800.5612650.4560210.1473140.0982
145443.81624683.28314082.86223362.3571
15291420.4420269318.8916284219.9369259518.2041
16606242.5254607842.6377621843.6198623143.7110
17362825.4507381026.7275372026.0961391027.4290
188716.11019616.74159016.320610007.0151
191260.88391481.03821290.90491511.0593
20150.1052170.1193150.1052170.1193
2100000000
2210.007010.007010.007010.0070
121425516.10621425516.16621425516.15811425516.2194

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
1010.008210.00820000
1100000000
1200000000
1370.057160.048910.008210.0082
14640.5219510.4159330.2691220.1794
156094.96665314.33055414.41204653.7922
16283023.0794265221.6278279622.8022260321.2282
17476638.8680477738.9578483939.4634484939.5449
18311725.4200329526.8716316925.8441335427.3528
197696.27148406.85047806.36118556.9728
20990.80741080.88081030.84001120.9134
210010.00820010.0082
121226217.05521226217.11461226217.08621226217.1469

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
1210.012010.01200000
1300000000
1440.048140.048140.048140.0481
15440.5289380.4568330.3967280.3366
166207.45285606.73165666.80375086.1065
17203324.4380194023.3201197823.7769187822.5748
18292735.1845293235.2446296935.6894297835.7976
19194923.4283203624.4741199824.0173207624.9549
206167.40476678.01786397.68126998.4025
211101.32231221.46651131.35831261.5146
22130.1563160.1923170.2044190.2284
2320.024030.036120.024030.0361
12831918.0176831918.0744831918.0563831918.1141

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
1510.022210.02220000
16601.3292491.0855501.1077410.9083
1750711.231747610.545046110.21274269.4373
18127728.2898125227.7359127128.1568124027.4701
19150633.3629150433.3186152133.6952152233.7173
2086019.051890920.137489819.893794620.9570
212655.87062766.11432716.00352876.3580
22340.7532430.9526380.8418481.0634
2340.088630.066540.088630.0665
240010.02220010.0222
10451418.7858451418.8343451418.8288451418.8817

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
1610.0541000000
17663.5734593.1944552.9778482.5988
1829816.134328715.538728115.213927014.6183
1958531.673057230.969159031.943757431.0774
2055229.886356530.590155630.102957030.8609
2125513.806225813.968626614.401727214.7266
22764.1148884.7645834.4938935.0352
23130.7038170.9204150.8121191.0287
2410.054110.054110.054110.0541
9184719.4949184719.5485184719.5474184719.5999

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
1740.630910.157720.315510.1577
18467.2555467.2555426.6246406.3091
1916726.340716626.183016726.340716626.1830
2020131.703519831.230319931.388019530.7571
2114623.028414422.712914923.501614723.1861
22528.2019609.4637518.0442609.4637
23172.6814182.8391223.4700233.6278
2410.157710.157720.315520.3155
863420.053663420.096263420.107363420.1498

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
1710.555610.555610.555610.5556
1863.333363.333342.222242.2222
192715.00002614.44442513.88892413.3333
205731.66675530.55566033.33335731.6667
215027.77785228.88895027.77785329.4444
222212.22222312.77782312.77782413.3333
23126.6667126.6667126.6667126.6667
2452.777842.222252.777842.2222
250010.55560010.5556
918020.600018020.633318020.644418020.6833

Double-dummy stats for 53,327 deals

Stats 8H30   MainTop   RP BBO Matches

© 2022 Richard Pavlicek