Stats 8H30   Main


RP BBO Matches


  by Richard Pavlicek

Double-dummy stats for 59,740 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
010311.725810271.71919481.58699481.586999135933831.5612
123283.896923223.886822383.746222443.7563231457626773.6449
235936.014436236.064634195.723134235.7298379779320675.9806
349408.269249428.272549518.287649548.2926528710698468.3260
4643210.7667639010.6964628210.5156624210.44866752419474210.6335
5747012.5042741112.4054739912.3853739712.38208010171462812.6142
6849314.2166855514.3204869114.5480869914.56149073044133214.2880
7791413.2474788913.2056782213.0934788513.19898440215867213.2914
8663911.1132666311.1533660611.0579660311.05297123710456811.2182
944417.433944787.495845147.556145197.5644477020495637.5120
1030305.072030245.061931595.287931395.2544325690654405.1289
1118493.095118363.073320173.376319923.3344206008660923.2442
1211461.918311471.920012102.025412102.0254118651571671.8685
134340.72654330.72484840.81024850.811943724494230.6886
14597405.9739597405.9758597406.0431597406.04146350135596006.0066

Stats 8H30   MainTop   RP BBO Matches

Spade make = sm

Winnable tricks at double-dummy with spades trump

ValueNorthSouthWestEastEmpirical
06931.16006951.16346551.09646511.089769498930151.0944
117642.952817642.952816762.805516832.8172176468174122.7790
232285.403432065.366630075.033530045.0285329924528295.1956
346977.862447167.894247607.967947747.9913504766525427.9489
4631110.5641631810.5758623210.4319621210.39846637297543810.4522
5724812.1326723512.1108738512.3619738912.36867782192531512.2552
6775812.9863772812.9361757412.6783759612.71518255185434513.0000
7745912.4858743312.4422748812.5343746912.50258076082273712.7180
8693111.6019700011.7174690311.5551691711.57857346563395411.5691
956119.392455949.363957119.559857159.5665604891624829.5256
1041827.000341746.986941867.007041656.9719436617506886.8757
1123643.957123974.012426084.365626004.3522263777875484.1539
1211891.990311801.975212202.042212332.0639121285271361.9100
133050.51053000.50223350.56083320.555733173041590.5224
14597406.2698597406.2719597406.3249597406.32406350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Heart make = hm

Winnable tricks at double-dummy with hearts trump

ValueNorthSouthWestEastEmpirical
07041.17846991.17016891.15336781.134969498930151.0944
117552.937717612.947816722.798816862.8222176468174122.7790
231475.267831255.231029955.013429774.9833329924528295.1956
347988.031548358.093446937.855747057.8758504766525427.9489
4627210.4988623010.4285628410.5189626910.49386637297543810.4522
5733412.2765735312.3083727712.1811725912.15107782192531512.2552
6774212.9595771712.9176767812.8524769912.88758255185434513.0000
7754012.6214755912.6532750512.5628755312.64318076082273712.7180
8676011.3157676411.3224698611.6940695211.63717346563395411.5691
957039.546457029.544756859.516257239.5798604891624829.5256
1040636.801140756.821241716.981941416.9317436617506886.8757
1124114.035824174.045925174.213325144.2082263777875484.1539
1211901.992011821.978612332.063912282.0556121285271361.9100
133210.53733210.53733550.59423560.595933173041590.5224
14597406.2679597406.2695597406.3228597406.32316350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Diamond make = dm

Winnable tricks at double-dummy with diamonds trump

ValueNorthSouthWestEastEmpirical
07271.21697321.22536251.04626311.056269498930151.0944
117622.949417602.946116672.790416562.7720176468174122.7790
231095.204230945.179130335.077030415.0904329924528295.1956
348758.160448628.138646697.815546777.8289504766525427.9489
4617710.3398619910.3766615010.2946615510.30306637297543810.4522
5720812.0656722512.0941748312.5259747012.50427782192531512.2552
6778513.0315775812.9863767612.8490766012.82228255185434513.0000
7764212.7921764112.7904765312.8105766912.83738076082273712.7180
8703111.7693700311.7225674111.2839677911.34757346563395411.5691
955599.305356069.384057219.576556669.4844604891624829.5256
1040116.714140226.732541556.955141686.9769436617506886.8757
1124154.042523873.995625874.330425814.3204263777875484.1539
1211541.931711631.946812172.037212292.0572121285271361.9100
132850.47712880.48213630.60763580.599333173041590.5224
14597406.2615597406.2629597406.3296597406.32886350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Club make = cm

Winnable tricks at double-dummy with clubs trump

ValueNorthSouthWestEastEmpirical
07061.18187181.20196891.15336891.153369498930151.0944
118033.018117732.967916232.716816132.7000176468174122.7790
230835.160731135.210930735.144030875.1674329924528295.1956
346007.700046177.728546917.852447157.8925504766525427.9489
4630210.5490626210.4821613410.2678609710.20596637297543810.4522
5753112.6063752412.5946719312.0405721412.07577782192531512.2552
6768512.8641767512.8473776612.9997777913.02148255185434513.0000
7780713.0683781513.0817763412.7787759012.70518076082273712.7180
8667911.1801668211.1851712211.9217714911.96697346563395411.5691
955319.258555349.263556799.506256739.4961604891624829.5256
1041226.899941286.909939986.692340136.7174436617506886.8757
1124254.059324314.069324954.176424904.1681263777875484.1539
1211521.928411591.940112832.147612742.1326121285271361.9100
133140.52563090.51723600.60263570.597633173041590.5224
14597406.2672597406.2685597406.3268597406.32566350135596006.2957

Stats 8H30   MainTop   RP BBO Matches

Longest fit = lf

Number of cards in longest trump fit

ValueNorthSouthWestEastTheoretical (exact)
7948215.8721948215.8721957316.0244957316.02441300649843750415.7363
82722545.57252722545.57252711945.39502711945.39503780937365390945.7447
91683728.18381683728.18381693028.33951693028.33952322544099232528.0999
1051138.558851138.558850518.455050518.455071684010398008.6729
119911.65899911.65899541.59699541.596913072274350201.5816
12870.1456870.14561090.18251090.18251307323158310.1582
1350.008450.008440.006740.006754149502950.0066
7597408.3503597408.3503597408.3478597408.3478826530888246848.3512

Stats 8H30   MainTop   RP BBO Matches

Longest fit make = lm

Winnable tricks at double-dummy with longest fit trumps

ValueNorthSouthWestEastEmpirical
040.006740.006770.011760.0100228763940.0036
1320.0536350.0586260.0435270.04522512466910.0396
21800.30131730.28961580.26451570.262815561246560.2451
35830.97595810.97255640.94415630.942458927227890.9280
416222.715116412.746915962.671615862.6548164098835472.5842
535385.922335125.878834085.704734345.7482356432984555.6130
658579.804258249.748956599.472756489.4543620312562339.7685
7857814.3589858314.3673830213.8969832013.92708999974419014.1729
81029217.22801031017.25811028217.21121028017.207911009984284917.3382
91042517.45061042417.44891064717.82221064417.817211317316747117.8222
10905715.1607908215.2025895514.9900895014.98169591976422515.1052
1158009.708758039.7138607210.1640606210.14736415044902410.1022
1229684.968229674.966531355.247731405.2561311125613464.8995
138041.34588011.34089291.55519231.545087506217301.3780
14597408.3379597408.3401597408.3971597408.39596350135596008.3753

Stats 8H30   MainTop   RP BBO Matches

Best fit = bf

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

ValueNorthSouthWestEastEmpirical
5270.0452270.0452330.0552340.0569104616730.0016
61520.25451350.22601600.26791630.272912220778350.1924
71002316.78111001816.77301008616.88601009516.901110535121225516.5904
82687845.00072689845.03492677744.83012675044.784928723408943645.2327
91648827.60511649627.61901661727.82021663027.842017543724513327.6273
1050868.515350808.505449968.364349978.3660547010147898.6141
119821.64419811.64259481.58719481.5871100081874981.5761
12870.1457870.14571090.18251090.182510063644960.1585
1350.008450.008440.006740.0067429064850.0068
9597288.3277597278.3282597308.3249597308.32486350135596008.3327

Stats 8H30   MainTop   RP BBO Matches

Best fit make = bm

Winnable tricks at double-dummy with most productive fit trumps

ValueNorthSouthWestEastEmpirical
010.001710.0017000015139900.0002
1170.0285180.0301160.0268160.02681322319130.0208
21550.25951520.25441240.20761190.199213396240420.2110
35490.91905490.91905370.89895410.905656710897480.8931
415522.597915602.611315632.616315432.5829161775920152.5476
535155.883835015.860433865.667934255.7332354151855365.5771
658319.760657989.705456049.380655849.3472617759369089.7283
7856814.3421858514.3706828813.8735830813.90698971132903714.1275
81029017.22461028417.21461027317.19621027317.196210996282672717.3166
91047217.52931047717.53771068317.88251067817.874111330508144617.8429
10907115.1841910015.2327900015.0653899315.05369618745285115.1473
1158479.787458519.7941609710.2059609410.20096454782605910.1648
1230305.072030285.068632015.358232025.3599316465305874.9836
138421.40948361.39949681.62049641.613791393387411.4392
14597408.3632597408.3650597408.4213597408.42056350135596008.3938

Stats 8H30   MainTop   RP BBO Matches

Highest make = H

Highest makable strain-tricks at double-dummy

ValueNorthSouthWestEastEmpirical
None = 010.001710.0017000015139900.0002
C 1 = 1000020.003320.003340272140.0006
D 1 = 240.006750.008430.005030.0050116123060.0018
H 1 = 320.003320.003330.005030.0050258740940.0041
S 1 = 480.013480.013440.006740.0067532318990.0084
N 1 = 530.005030.005040.006740.0067369565030.0058
C 2 = 6100.0167100.0167110.0184120.02011203168100.0189
D 2 = 7230.0385210.0352200.0335200.03351986355280.0313
H 2 = 8360.0603380.0636340.0569320.05363266282690.0514
S 2 = 9660.1105640.1071430.0720420.07035009188330.0789
N 2 = 10190.0318180.0301150.0251120.02011851458750.0292
C 3 = 11630.1055600.1004670.1122660.11057089865200.1116
D 3 = 121000.16741050.17581130.18921150.19259986582860.1573
H 3 = 131370.22931340.22431200.20091190.199213953388860.2197
S 3 = 141830.30631840.30801700.28461720.287919101258690.3008
N 3 = 15620.1038620.1038620.1038660.11056005091150.0946
C 4 = 162330.39002350.39342140.35822120.354922892290420.3605
D 4 = 172820.47202800.46872940.49212930.490529946122650.4716
H 4 = 183550.59423500.58593720.62273670.614339039754030.6148
S 4 = 194990.83535080.85045000.83704940.826950810120260.8001
N 4 = 201620.27121630.27281620.27121610.269517133222700.2698
C 5 = 215970.99935780.96755050.84535110.855453908350020.8489
D 5 = 227091.18687091.18686561.09816631.109867655836201.0654
H 5 = 238311.39108421.40947911.32418041.345884987694421.3384
S 5 = 249871.65229811.642110331.729210371.7359106023984131.6696
N 5 = 253580.59933670.61433610.60433620.606037903504300.5969
C 6 = 269621.61039681.62048811.47478781.469799666436031.5695
D 6 = 2711591.940111391.906610951.832910941.8313121097120211.9070
H 6 = 2813802.310013722.296613762.303313732.2983147291120692.3195
S 6 = 2916852.820616872.823916312.730216182.7084179102025212.8204
N 6 = 305970.99935820.97425860.98095910.989365347606581.0291
C 7 = 3114682.457314622.447314342.400414532.4322150754373522.3740
D 7 = 3217442.919317552.937716642.785416592.7770179586502112.8281
H 7 = 3320163.374620363.408119493.262519733.3026213619944393.3640
S 7 = 3423593.948823613.952123733.972223303.9002255284806214.0201
N 7 = 358961.49988911.49158221.37608441.412891542061251.4416
C 8 = 3617292.894217312.897618203.046518183.0432187915114182.9592
D 8 = 3720843.488421133.537019733.302619793.3127220888006253.4785
H 8 = 3824464.094424564.111125034.189824814.1530260021022084.0947
S 8 = 3928864.830928634.792428314.738928494.7690304961099134.8024
N 8 = 4011381.904911141.864710811.809510751.7995121734661531.9170
C 9 = 4117452.921017252.887517642.952817812.9813191553989883.0165
D 9 = 4220313.399720523.434921463.592221203.5487226799532803.5716
H 9 = 4325224.221625074.196525654.293625804.3187266450030524.1960
S 9 = 4429204.887829404.921329254.896229244.8945311169216384.9002
N 9 = 4512482.089112532.097413202.209613122.1962137764185292.1695
C 10 = 4615022.514215312.562814482.423814402.4104156781266132.4689
D 10 = 4717322.899217222.882518033.018118183.0432188456517112.9678
H 10 = 4820613.449920743.471720313.399720383.4114223463303763.5190
S 10 = 4925344.241725234.223324774.146324814.1530262137580534.1281
N 10 = 5013092.191213002.176112912.161012722.1292137309534012.1623
C 11 = 518931.49488911.49158731.46138651.447996972895881.5271
D 11 = 5210721.794410621.777711191.873111231.8798119140439141.8762
H 11 = 5313002.176113042.182813042.182812992.1744143053764622.2528
S 11 = 5415232.549415472.589616852.820616782.8088168821274042.6585
N 11 = 5511411.909911291.889911941.998711952.0003126372165241.9901
C 12 = 563900.65283850.64454290.71814220.706440420664590.6365
D 12 = 574300.71984370.73154780.80014850.811949965767870.7868
H 12 = 585870.98265900.98766101.02116051.012760849389980.9582
S 12 = 596981.16846851.14667121.19187231.210272417487111.1404
N 12 = 609651.61539771.635410051.682310131.695797970009901.5428
C 13 = 61850.1423780.13061070.17911060.17749504679740.1497
D 13 = 62940.1573920.15401060.17741020.170711255760930.1773
H 13 = 631130.18921160.19421390.23271390.232712972928730.2043
S 13 = 641320.22101290.21591470.24611430.239414911139120.2348
N 13 = 654340.72654330.72484840.81024850.811943724494230.6886
665974039.93925974039.94385974040.23015974040.224763501355960040.0915

Stats 8H30   MainTop   RP BBO Matches

On-lead highest make = O

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

ValueNorthSouthWestEastEmpirical
None = 010.001710.0017000012414720.0002
C 1 = 1000020.003320.003332399390.0005
D 1 = 240.006740.006730.005030.005094473000.0015
H 1 = 320.003320.003330.005030.0050215743620.0034
S 1 = 480.013480.013430.005030.0050425279880.0067
N 1 = 530.005020.003340.006730.0050263888510.0042
C 2 = 680.013470.011770.011760.0100849954160.0134
D 2 = 7130.0218150.0251160.0268140.02341422242490.0224
H 2 = 8240.0402220.0368250.0418230.03852312922990.0364
S 2 = 9450.0753440.0737310.0519350.05863632668340.0572
N 2 = 10140.0234110.0184100.0167110.01841274325640.0201
C 3 = 11390.0653470.0787450.0753480.08034930763630.0776
D 3 = 12780.1306810.1356650.1088600.10046935135390.1092
H 3 = 13990.1657970.1624860.1440870.145610008232920.1576
S 3 = 141410.23601460.24441220.20421310.219313953691650.2197
N 3 = 15440.0737510.0854490.0820490.08205170579690.0814
C 4 = 161580.26451510.25281640.27451620.271216442540320.2589
D 4 = 172040.34152030.33982100.35152190.366621743777370.3424
H 4 = 182650.44362820.47202660.44532660.445328902680540.4552
S 4 = 193960.66293770.63113910.65453840.642838251116480.6024
N 4 = 201460.24441320.22101490.24941520.254416033914330.2525
C 5 = 214160.69644220.70643750.62773590.600939987057760.6297
D 5 = 224890.81854990.83534800.80354770.798550599675610.7968
H 5 = 236381.06806281.05126081.01775960.997764449204731.0149
S 5 = 247751.29737871.31747971.33417901.322481711722201.2868
N 5 = 253880.64953800.63613680.61603700.619436806466930.5796
C 6 = 267791.30407701.28896961.16507071.183577575803481.2216
D 6 = 279291.55519111.52498521.42628541.429595250277711.5000
H 6 = 2811131.863111411.909911071.853010981.8380117646584911.8527
S 6 = 2913832.315013832.315013722.296613732.2983145092806772.2849
N 6 = 306141.02786161.03115860.98095890.985967409207181.0615
C 7 = 3111962.002011972.003711231.879811491.9233123797321921.9495
D 7 = 3213952.335113962.336813042.182813142.1995149709871612.3576
H 7 = 3317062.855716972.840616732.800516542.7687180711851102.8458
S 7 = 3420093.362920133.369620033.352920453.4232218302716413.4378
N 7 = 3510761.801110681.787711121.861410671.7861114245859881.7991
C 8 = 3615412.579515412.579516122.698416092.6933163394981382.5731
D 8 = 3718923.167119013.182118133.034818273.0583197093831813.1038
H 8 = 3822813.818222643.789822873.828322743.8065236057583523.7174
S 8 = 3926464.429226494.434226074.363926114.3706280859281854.4229
N 8 = 4015572.606315752.636414662.454014802.4774162709295172.5623
C 9 = 4116052.686615842.651516462.755316352.7369176104627202.7732
D 9 = 4219663.290919813.316019583.277519153.2056213307305393.3591
H 9 = 4324294.066024244.057624364.077724524.1045254095718224.0014
S 9 = 4428464.764028614.789128274.732228254.7288300486954984.7320
N 9 = 4518423.083418173.041518683.126918963.1738201252157583.1693
C 10 = 4613842.316714052.351914472.422214482.4238151809473362.3906
D 10 = 4716752.803816762.805518093.028118133.0348183603723982.8913
H 10 = 4820103.364620153.372920543.438220353.4064217970244133.4325
S 10 = 4923823.987323783.980623493.932023443.9237255009865574.0158
N 10 = 5021803.649121923.669221183.545421263.5588229712904353.6174
C 11 = 519891.65559941.66399311.55849201.5400101498969901.5984
D 11 = 5210981.838011101.858111091.856410921.8279120771158101.9019
H 11 = 5312662.119212592.107513192.207913312.2280141194130332.2235
S 11 = 5415112.529314932.499215672.623016002.6783163907315702.5812
N 11 = 5520903.498520953.506921243.555420943.5052229412831473.6127
C 12 = 564880.81694770.79855450.91235600.937455007204190.8662
D 12 = 575700.95415560.93075790.96925900.987662270269880.9806
H 12 = 586561.09816511.08976561.09816481.084770331511271.1076
S 12 = 597131.19357261.21537901.32247961.332478529314581.2367
N 12 = 6017082.859117162.872417963.006418113.0315178494763702.8109
C 13 = 612050.34322020.33812250.37662150.359920379066510.3209
D 13 = 621860.31131900.31802260.37832240.375021870195560.3444
H 13 = 632270.38002220.37162220.37162240.375023145429600.3645
S 13 = 642510.42022470.41352200.36832110.353224514379630.3860
N 13 = 659481.58699481.586910271.719110311.725899135933831.5612
665974041.87615974041.87325974042.13955974042.144463501355960042.0216

Stats 8H30   MainTop   RP BBO Matches

Best scoring make = B

Best scoring undoubled makable contract at double-dummy

ValueNorthSouthWestEastEmpirical
None = 01151319.27181147619.20991112818.62741113018.630711935899878318.7963
1 C = 114682.457314622.447314342.400414532.4322150754373522.3740
1 D = 217442.919317552.937716642.785416592.7770179586502112.8281
1 H = 320163.374620363.408119493.262519733.3026213619944393.3640
1 S = 423593.948823613.952123733.972223303.9002255284806214.0201
1 N = 58961.49988911.49158221.37608441.412891542061261.4416
2 C = 617292.894217312.897618203.046518183.0432187915114182.9592
2 D = 720843.488421133.537019733.302619793.3127220888006253.4785
2 H = 824464.094424564.111125034.189824814.1530260021022084.0947
2 S = 928864.830928634.792428314.738928494.7690304961099134.8024
3 C = 1013722.296613572.271513952.335114062.3535151688808332.3887
3 D = 1115682.624715832.649816852.820616502.7620176477674412.7791
2 N = 1219743.304319513.265819113.198919203.2139211921701463.3373
4 C = 137971.33418051.34758021.34257991.337583520789221.3153
4 D = 149421.57689481.58699851.648810031.6789103067918051.6231
3 H = 1528934.842728824.824229164.881229314.9063304121742904.7892
3 S = 1633165.550733155.549033195.555733175.5524353692662105.5698
3 N = 1719763.307720033.352920393.413120243.3880216218103153.4049
5 C = 184410.73824480.74994270.71484320.723149189545040.7746
5 D = 195660.94745630.94245680.95085820.974263074198740.9933
4 H = 2022653.791422733.804822513.768022503.7663246198139193.8771
4 S = 2127724.640127654.628427084.533027044.5263287568681294.5285
4 N = 2218253.054918013.014718373.075018113.0315192993189063.0392
5 H = 2313002.176113042.182813042.182812992.1744143053764622.2528
5 S = 2415232.549415472.589616852.820616782.8088168821274042.6585
5 N = 2511411.909911291.889911941.998711952.0003126372165241.9901
6 C = 263900.65283850.64454290.71814220.706440420664590.6365
6 D = 274300.71984370.73154780.80014850.811949965767870.7868
6 H = 285870.98265900.98766101.02116051.012760849389980.9582
6 S = 296981.16846851.14667121.19187231.210272417487111.1404
6 N = 309651.61539771.635410051.682310131.695797970009901.5428
7 C = 31850.1423780.13061070.17911060.17749504679740.1497
7 D = 32940.1573920.15401060.17741020.170711255760930.1773
7 H = 331130.18921160.19421390.23271390.232712972928730.2043
7 S = 341320.22101290.21591470.24611430.239414911139120.2348
7 N = 354340.72654330.72484840.81024850.811943724494230.6886
365974011.33975974011.34105974011.58055974011.573963501355960011.4347

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 = 120.006740.013360.0100
80 = 2730.2464710.23581440.2410
90 = 39363.15908772.912718133.0348
100 = 4479416.1795479315.9183958716.0479
110 = 512934.363813174.374026104.3689
120 = 612214.120811623.859223833.9890
130 = 711493.877811693.882423183.8801
140 = 8322410.8809329910.9565652310.9190
300 = 1016035.410115435.124531465.2662
400 = 1124068.120123827.911047888.0147
420 = 12328311.0800335711.1491664011.1148
430 = 1318146.122218356.094336496.1081
450 = 1426058.791827289.060153338.9270
460 = 1511864.002712464.138224324.0710
500 = 161350.45561180.39192530.4235
800 = 222800.94502790.92665590.9357
920 = 236472.18367142.371313612.2782
980 = 2410743.624711373.776222113.7010
990 = 2510603.577511023.659921623.6190
1100 = 26190.0641320.1063510.0854
1400 = 28260.0877390.1295650.1088
1440 = 301330.44891560.51812890.4838
1510 = 312310.77962620.87014930.8252
1520 = 324361.47154881.62079241.5467
252963011.18103011011.37045974011.2765

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 = 120.006740.013360.0100
80 = 2730.2464710.23581440.2410
90 = 39363.15908772.912718133.0348
100 = 4479416.17950047948.0248
110 = 512934.3638316810.521444617.4674
120 = 612214.120815975.303928184.7171
130 = 711493.877814924.955226414.4208
140 = 8322410.8809465915.4733788313.1955
200 = 9008242.73668241.3793
300 = 1016035.41010016032.6833
400 = 110028229.372328224.7238
420 = 1200416413.829341646.9702
430 = 130019036.320219033.1855
450 = 140029139.674529134.8761
460 = 150012564.171412562.1024
500 = 1625468.5926330.109625794.3170
600 = 1716705.63620016702.7954
620 = 1821897.38780021893.6642
630 = 1916255.48430016252.7201
650 = 2022427.56670022423.7529
660 = 2111573.90480011571.9367
800 = 222800.94501180.39193980.6662
920 = 23008402.78988401.4061
980 = 240012644.197912642.1158
990 = 250011163.706411161.8681
1100 = 264561.5390120.03994680.7834
1370 = 274811.6234004810.8052
1400 = 284131.3939320.10634450.7449
1430 = 295721.9305005720.9575
1440 = 309043.05101830.607810871.8196
1510 = 31002740.91002740.4587
1520 = 32004881.62074880.8169
1700 = 33480.162000480.0803
2000 = 34480.162000480.0803
2140 = 35680.229500680.1138
2210 = 362000.6750002000.3348
2220 = 374361.4715004360.7298
382963013.82153011011.96255974012.8845

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 = 120.006740.013360.0100
80 = 2730.2464710.23581440.2410
90 = 39363.15908772.912718133.0348
100 = 400479315.918347938.0231
110 = 5317710.722213174.374044947.5226
120 = 616595.599111623.859228214.7221
130 = 714434.870111693.882426124.3723
140 = 8458915.4877329910.9565788813.2039
200 = 98132.7438008131.3609
300 = 100015435.124515432.5829
400 = 1128109.48360028104.7037
420 = 12419214.14780041927.0171
430 = 1318936.38880018933.1687
450 = 1427699.34530027694.6351
460 = 1511944.02970011941.9987
500 = 16390.131625948.615126334.4074
600 = 170016215.383616212.7134
620 = 180022297.402922293.7312
630 = 190016665.533016662.7888
650 = 200023477.794823473.9287
660 = 210012094.015312092.0238
800 = 221350.45562790.92664140.6930
920 = 237522.5380007521.2588
980 = 2412224.12420012222.0455
990 = 2510743.62470010741.7978
1100 = 26130.04394481.48794610.7717
1370 = 27005501.82665500.9207
1400 = 28190.06414271.41814460.7466
1430 = 29006632.20196631.1098
1440 = 301530.51649363.108610891.8229
1510 = 312370.7999002370.3967
1520 = 324361.4715004360.7298
1700 = 3300500.1661500.0837
2000 = 3400490.1627490.0820
2140 = 3500850.2823850.1423
2210 = 36002340.77722340.3917
2220 = 37004881.62074880.8169
382963011.78713011014.06005974012.9327

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 = 120.006740.013360.0100
80 = 2730.2464710.23581440.2410
90 = 39363.15908772.912718133.0348
110 = 5317710.7222316810.5214634510.6210
120 = 616595.599115975.303932565.4503
130 = 714434.870114924.955229354.9130
140 = 8458915.4877465915.4733924815.4804
200 = 98132.74388242.736616372.7402
500 = 1616035.410115435.124531465.2662
600 = 1724068.120123827.911047888.0147
620 = 18328311.0800335711.1491664011.1148
630 = 1918146.122218356.094336496.1081
650 = 2026058.791827289.060153338.9270
660 = 2111864.002712464.138224324.0710
800 = 221350.45561180.39192530.4235
1100 = 262800.94502790.92665590.9357
1370 = 276472.18367142.371313612.2782
1400 = 282900.97872840.94325740.9608
1430 = 298502.86879353.105317852.9879
1440 = 3010133.418810523.493920653.4566
1700 = 33260.0877390.1295650.1088
2000 = 34480.1620500.1661980.1640
2140 = 35960.32401180.39192140.3582
2210 = 362200.74252500.83034700.7867
2220 = 374361.47154881.62079241.5467
262963014.87763011015.09335974014.9863

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
910.015710.01570000
1000000000
1110.015710.01570000
12210.3287150.234860.093930.0470
1366810.45715178.09335949.29874436.9349
14322850.5322310548.6068325851.0019312748.9512
15205632.1853226635.4728209932.8585231036.1616
163625.66694266.66883715.80784396.8723
17450.7044510.7984500.7827550.8610
1830.047030.047060.093970.1096
1920.031320.031330.047020.0313
2010.015710.015710.015720.0313
12638814.3483638814.4296638814.3804638814.4624

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
1130.047820.03190000
1270.111570.11150000
13711.1308490.7804580.9237360.5733
1495915.273182113.075395615.225482113.0753
15302948.2402298347.5076304448.4791299347.6668
16185929.6066202332.2185186329.6703202632.2663
173054.85753435.46273084.90523475.5264
18420.6689460.7326450.7167500.7963
1930.047830.047840.063740.0637
2010.015910.015910.015910.0159
210010.01590010.0159
11627915.2354627915.3061627915.2489627915.3192

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
510.006310.00630000
620.012620.01260000
710.006310.00630000
830.018820.01260000
910.006320.01260000
1070.044070.04400000
1160.037750.03140000
12170.1068170.10680000
13970.6091810.5086220.1381140.0879
146333.97495473.43494632.90743792.3799
15326720.5149302318.9827319420.0565292218.3485
16672542.2292672342.2166690843.3783690643.3658
17404225.3815426926.8069415726.1036439027.5667
189626.040810556.624810086.329711116.9765
191410.88541681.05491490.93561751.0989
20180.1130200.1256210.1319250.1570
2110.006310.006310.006310.0063
2210.006310.006320.012620.0126
181592516.09021592516.15131592516.15921592516.2218

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
310.007310.00730000
410.007310.00730000
500000000
600000000
700000000
820.014520.01450000
920.014520.01450000
1050.036350.03630000
1150.036350.03630000
1270.050840.02910000
13140.1017150.108910.007310.0073
14750.5447610.4430400.2905280.2034
156935.03306094.42306234.52475383.9073
16319923.2334298921.7082316222.9646294321.3741
17533238.7247534838.8409542139.3711543239.4509
18345925.1217366526.6178352025.5647373327.1116
198546.20239286.73988726.33319506.8996
201180.85701300.94411260.91511381.0023
2110.007330.021820.014540.0291
2210.007310.007320.014520.0145
201376917.03651376917.09671376917.08191376917.1428

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
510.010710.01070000
600000000
710.010710.01070000
800000000
910.010710.01070000
1010.010710.01070000
1100000000
1290.096280.08550000
1380.085590.096210.010710.0107
1460.064260.0642100.1069100.1069
15530.5667460.4918440.4704390.4170
166937.40946276.70376336.76795696.0836
17228524.4307218423.3508222623.7999211722.6344
18329235.1973329735.2507334835.7960335535.8708
19217823.2866227824.3558223123.8533232324.8370
206897.36667407.91197167.65537778.3075
211191.27231331.42201231.31511381.4755
22140.1497170.1818180.1925200.2138
2330.032140.042830.032140.0428
19935317.9995935318.0546935318.0481935318.1041

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
610.019810.01980000
710.019810.01980000
800000000
900000000
1020.039710.01980000
1110.019820.03970000
1240.079340.07930000
1350.099250.09920000
1430.059530.059520.039720.0397
1530.059530.059550.099250.0992
16701.3883581.1503641.2693541.0710
1756511.205953210.551451810.27374819.5399
18142828.3221138827.5288142728.3023137927.3503
19166132.9433167533.2209167533.2209169433.5978
2096619.1591101220.0714100719.9722105220.8647
212885.71203036.00952965.87073166.2674
22400.7933500.9917440.8727551.0908
2340.079330.059540.079330.0595
240010.01980010.0198
19504218.7568504218.8064504218.8140504218.8677

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
1210.049010.04900000
1310.049010.04900000
1420.098020.09800000
1510.049010.049030.147030.1470
1630.147010.04900000
17723.5277653.1847623.0377512.4988
1833016.168531815.580631115.237630214.7967
1965231.945163731.210265832.239164131.4062
2060229.495361730.230361029.887362530.6222
2128013.718828413.914729114.257729814.6007
22834.0666964.7036904.40961014.9486
23130.6369170.8329150.7349190.9309
2410.049010.049010.049010.0490
13204119.4694204119.5233204119.5292204119.5826

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
1740.568210.142020.284110.1420
18517.2443517.2443476.6761456.3920
1917925.426117825.284117925.426117825.2841
2022431.818222131.392022231.534121830.9659
2116623.579516223.011416924.005716523.4375
22588.2386689.6591578.0966689.6591
23212.9830223.1250263.6932273.8352
2410.142010.142020.284120.2841
870420.079570420.120770420.127870420.1690

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
1710.495010.495010.495010.4950
1862.970362.970341.980241.9802
192914.35642813.86142713.36632612.8713
206431.68326130.19806733.16836331.1881
215728.21786029.70305728.21786130.1980
222612.87132713.36632713.36632813.8614
23146.9307146.9307146.9307146.9307
2452.475241.980252.475241.9802
250010.49500010.4950
920220.628720220.663420220.668320220.7079

Double-dummy stats for 59,740 deals

Stats 8H30   MainTop   RP BBO Matches

© 2023 Richard Pavlicek