Stats 8H02 Main

# Random Solved Deals

by Richard Pavlicek

### General stats for 10,485,760 deals

Each table lists all possible values of each statistic in decimal (or binary if a bitmap) with the number of occurrences and percent for North, South, West and East. The last column shows the theoretical expectation, which is mathematically determined and exact. The bottom line shows the number of unique values (table rows), the total number of occurrences, and the average (mean) value.

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.

## Freakness

 4333 = 04432 = 15332 = 24441 5422 = 35431 6322 = 46331 = 5 5440 5521 6421 7222 = 65530 6430 7321 = 76511 7330 7411 = 86520 7420 8221 8311 = 98320 = 10   6610 7510 8410 9211 = 11 9220 9310 = 12  7600 8500 9400 A110 = 13A210 A300 = 14B110 B200 = 16C100 = 18D000 = 20

FreaknessNorthSouthWestEastTheoretical
0110378810.5265110676510.5549110474910.5357110425110.53106690585616010.5361
1225856221.5393225804021.5343225934321.5468226005721.553613685288760021.5512
2162813215.5271162619415.5086162608915.5076162661115.51269853407907215.5168
3142409913.5813142252413.5662142253813.5664142489313.58888618967214013.5729
4194800318.5776194734218.5713194774918.5752194762718.574011794230676818.5732
53627853.45983618133.45053620603.45293606323.4393218964620163.4482
610089269.621910115359.646710094069.626410093869.6263611661936609.6323
74297134.09814298594.09954306264.10684296724.0977260498993044.1023
81431281.36501429011.36281432811.36641432611.366286513993281.3624
91389291.32491388381.32411396221.33151396941.332283990958481.3227
10112440.1072113650.1084115120.1098112090.10696890495040.1085
11253220.2415255020.2432256140.2443254020.242315486213600.2439
1219370.018518530.017719340.018419160.01831160016000.0183
1310530.010010850.010310940.010410120.0097638603680.0101
141370.00131390.00131400.00131300.001279416480.0013
1620.000050.000030.000070.00012311920.0000
180000000020280.0000
200000000040.0000
18104857602.9831104857602.9831104857602.9841104857602.98306350135596002.9829

 Stats 8H02 Main Top Random Solved Deals

## Generic shape

 The 39 generic hand patterns in order of theoretical frequency

ShapeNorthSouthWestEastTheoretical
4432225856221.5393225804021.5343225934321.5468226005721.553613685288760021.5512
5332162813215.5271162619415.5086162608915.5076162661115.51269853407907215.5168
5431135641012.9357135628412.9345135624012.9341135564812.92858211173256012.9307
5422111044210.5900110868410.5732110847610.5713111181410.60316718232664010.5797
4333110378810.5265110676510.5549110474910.5357110425110.53106690585616010.5361
63225915935.64195910585.63685915095.64115919795.6456358305742085.6425
64214923154.69514926584.69844924654.69654921514.6935298588118404.7021
63313627853.45983618133.45053620603.45293606323.4393218964620163.4482
55213328613.17443338353.18373327373.17323329323.1751201546979923.1739
44413136572.99133138402.99303140622.99513130792.9858190073455002.9932
73211969881.87861969591.87831975191.88371972441.8811119435247361.8808
64301389721.32531395201.33061392141.32761388771.324484217161601.3262
54401302351.24201307791.24721304101.24371302611.242378953589001.2433
5530937530.8941933800.8905938930.8954935510.892256846584080.8952
6511742360.7080741170.7068739280.7050741880.707544788217760.7053
6520683350.6517682120.6505687400.6556688830.656941342970240.6511
7222535150.5104542630.5175537940.5130540420.515432573249280.5130
7411411270.3922411710.3926413330.3942413000.393924882343200.3918
7420379960.3624381710.3640380640.3630382090.364422968316800.3617
7330277650.2648276130.2633280200.2672277730.264916843432320.2652
8221202090.1927203070.1937203800.1944202150.192812214968480.1924
8311123890.1182121480.1159124380.1186123870.11817464702960.1176
7510112580.1074113300.1081113550.1083111830.10666890495040.1085
8320112440.1072113650.1084115120.1098112090.10696890495040.1085
661075190.071775350.071975190.071774690.07124593663360.0723
841045990.043948150.045948080.045948750.04652871039600.0452
921119460.018618220.017419320.018418750.01791131015600.0178
931010370.009910290.009811000.010510590.0101638008800.0100
92209000.00868240.00798340.00808570.0082522007200.0082
76005840.00566030.00585720.00555700.0054353358720.0056
85003400.00323360.00323610.00342990.0029198764280.0031
A2101190.00111110.00111170.00111150.001169600960.0011
9400880.00081020.00101130.0011980.000961347000.0010
A111410.0004440.0004480.0005450.000425133680.0004
A300180.0002280.0003230.0002150.00019815520.0002
B11020.000050.000030.000040.00001581840.0000
B20000000030.0000730080.0000
C1000000000020280.0000
D0000000000040.0000
39104857603.6947104857603.6972104857603.6985104857603.69526350135596003.6954

Mean is calculated with shapes valued from 0 to 38, so 3.xxxx falls between “5422” and “4333”

 Stats 8H02 Main Top Random Solved Deals

## Controls

 Ace = 2   King = 1

ControlsNorthSouthWestEastTheoretical
08567548.17068567068.17028577198.17988575908.1786519155264328.1755
1139276613.2825139360413.2904139398713.2941139386013.29298436273045213.2852
2215259020.5287215293520.5320215236020.5265215417120.543813037876524420.5317
3218956520.8813219089720.8940218940720.8798218746320.861313263445322420.8869
4175661816.7524175521516.7390175441916.7314175358316.723510627512797216.7359
5116996011.1576116995311.1575117032311.1611117187911.17597089305080011.1640
65974945.69815967885.69145968285.69185976085.6992361554559085.6937
72576592.45722573362.45412581932.46232571622.4525155964711762.4561
8857200.8175858530.8188859890.8201859830.820051924369640.8177
9218600.2085217540.2075219130.2090217270.207213220595960.2082
1043030.041042290.040341680.039742320.04042581596160.0407
114530.00434730.00454340.00414880.0047282362080.0044
12180.0002170.0002200.0002140.000110860080.0002
13104857603.0005104857602.9998104857602.9999104857602.99986350135596003.0000

 Stats 8H02 Main Top Random Solved Deals

## High-card points

 Ace = 4   King = 3   Queen = 2   Jack = 1

HCPNorthSouthWestEastTheoretical
0376050.3586383760.3660381820.3641385700.367823107896000.3639
1827060.7887827350.7890829460.7910824560.786450067108000.7884
21427341.36121421231.35541420091.35431424531.358586115425761.3561
32583282.46362584552.46482583242.46362580872.4613156363429602.4624
44024813.83844034763.84784028333.84174035723.8488244190551363.8454
55426665.17535448015.19565450765.19825443405.1912329330310405.1862
66862856.54496863696.54576884846.56596867786.5496416193991846.5541
78425028.03478433588.04298409368.01988427418.0370509794419688.0281
89329308.89719313698.88229320618.88889334718.9023564666081288.8922
99815359.36069790779.33729806779.35259798119.3442594133138729.3562
109858639.40199869759.41259853059.39669845959.3898597237548169.4051
119383988.94939384378.94969373078.93899373538.9393567999335208.9447
128413308.02358419348.02938412668.02298414038.0242509716820808.0269
137242036.90657251716.91587251286.91547265086.9285439069447526.9143
145968185.69175973965.69725975075.69835969825.6933361533742245.6933
154638784.42394622444.40834641794.42684633834.4192280909627244.4237
163480433.31923471513.31073473793.31293465783.3052210247817563.3109
172485252.37012473952.35932471502.35702481302.3664149970828482.3617
181687671.60951684971.60691684211.60621685441.6074101925040201.6051
191089101.03861091341.04081086471.03611084011.033865798384401.0362
20671160.6401674990.6437676350.6450680100.648640865384040.6435
21396880.3785394500.3762398040.3796393650.375423995078440.3779
22219920.2097218950.2088220940.2107217320.207313338000360.2100
23117970.1125118620.1131117410.1120117890.11247106036280.1119
2458300.055658310.055659330.056658880.05623549938640.0559
2527190.025927350.026127740.026528100.02681678198920.0264
2612950.012412050.011512020.011511980.0114740952480.0117
275200.00505170.00494540.00435280.0050311579400.0049
281930.00181710.00162060.00201790.0017117907600.0019
29670.0006810.0008750.0007750.000742365880.0007
30260.0002310.0003190.0002200.000213960680.0002
3170.0001100.000140.000060.00013881960.0001
3220.00000020.000030.00001091560.0000
3310.0000000010.0000223600.0000
340000000044840.0000
35000000006240.0000
3600000000600.0000
370000000040.0000
381048576010.0021104857609.9989104857609.9998104857609.999163501355960010.0000

 Stats 8H02 Main Top Random Solved Deals

## Revalued points

 Following RP method: HCP +3 for each void+2 for each singleton except K Q J (+1 for J)+1 for each doubleton except KQ KJ QJ Qx Jx+1 for any combination of four aces and tens

PointsNorthSouthWestEastTheoretical
047490.045348330.046149490.047248700.04642938055680.0463
1289110.2757295760.2821289990.2766292900.279317662798720.2781
2735190.7011736710.7026739340.7051735040.701044607569440.7025
31362971.29981359241.29631361161.29811360201.297282438071201.2982
42303522.19682307132.20032298492.19202301772.1951139334914922.1942
53583343.41733596063.42953606473.43943599483.4327217642141763.4274
65011334.77925025154.79245018224.78575031504.7984304231639444.7909
76428446.13066428416.13066441146.14276432126.1341389447017486.1329
87786537.42587781247.42087776247.41607786627.4259471151573727.4196
98861308.45088846248.43648856768.44658859428.4490536312352368.4457
109462259.02399460369.02219444619.00719456259.0182572950918569.0227
119602449.15769607369.16239602419.15769585179.1411581439028089.1563
129284938.85489302898.87199274848.84529271108.8416562456176368.8574
138545028.14928554008.15778551588.15548555238.1589518052964328.1581
147525567.17697504457.15687524387.17587523727.1752455289361167.1698
156319006.02636315436.02296332836.03956325246.0322382973085526.0309
165092324.85645083344.84795092754.85685090384.8546308478634604.8578
173946763.76393941123.75853924293.74253936113.7538238185638243.7509
182919562.78432910162.77532913492.77852918002.7828176382169242.7776
192063381.96782068301.97252067811.97202069001.9732125129594121.9705
201416911.35131417831.35211415351.34981406751.341685465068441.3459
21923800.8810923910.8811926650.8837922880.880155991726400.8817
22578520.5517576860.5501583020.5560580800.553935091614120.5526
23346870.3308350040.3338345180.3292349580.333421124516800.3327
24202260.1929200850.1915202250.1929202380.193012155496440.1914
25110310.1052109140.1041110260.1052108720.10376652588840.1048
2657330.054757010.054457320.054758060.05543463093800.0545
2728530.027227850.026628740.027428290.02701715948840.0270
2813260.012613230.012613310.012712980.0124796943600.0126
295710.00545540.00535640.00545780.0055350063600.0055
302250.00212280.00222340.00222100.0020143926320.0023
31970.0009900.0009870.0008930.000954291680.0009
32250.0002370.0004240.0002280.000318956040.0003
33150.0001110.0001110.000170.00015745480.0001
3420.00000030.000020.00001534480.0000
3510.0000000030.0000319240.0000
3610.000000000051720.0000
37000000005080.0000
3800000000160.0000
391048576011.37051048576011.36711048576011.36831048576011.367663501355960011.3682

 Stats 8H02 Main Top Random Solved Deals

## Playing tricks

Evaluated in half-tricks to eliminate fractions

 K Qx Kx JTx Qxx = 1A  KJ  KQ  Ax  QJx Kxx Axx = 2AJ AQ KJT KQx AJx AQx = 3each card over three in any suit = 2 AK KQJ AQT AKx = 4AQJ AKJ = 5AKQ = 6Refinements

Half-tricksNorthSouthWestEastTheoretical
2166160.1585169930.1621170140.1623168230.160410227875840.1611
3304420.2903303860.2898303530.2895302290.288318348359680.2889
41362751.29961372891.30931366831.30351367871.304582883852801.3052
52243572.13962246152.14212248202.14412245212.1412135879614082.1398
64931284.70284941094.71224945274.71624940014.7112299074049124.7097
76838456.52176847366.53026831786.51536855226.5376414534455206.5280
810150719.680510151409.681110157369.686810163629.6928615130334809.6869
9117326811.1892117254911.1823117150611.1724117216611.17867098653249611.1787
10132391312.6258132400112.6267132447412.6312132351012.62208016951792012.6249
11127555212.1646127427812.1525127508712.1602127454812.15507723800598012.1632
12116789911.1380116677011.1272116637111.1234116748211.13407072364878411.1373
139488049.04859485289.04599487689.04829479959.0408574731166329.0507
147355697.01497333406.99377343597.00347333956.9942444558474967.0008
155089914.85415099224.86305093574.85765092174.8563308124611084.8523
163385653.22883384093.22733384063.22733384573.2278204880205443.2264
171992871.90052000781.90812003061.91032000911.9082120809793321.9025
181132601.08011141971.08911137341.08471137731.085068651305921.0811
19564820.5387563470.5374568650.5423561460.535434128505480.5374
20268840.2564266960.2546267960.2555273170.260516352793800.2575
21110790.1057110570.1054109620.1045111170.10606732491560.1060
2244960.042943080.041144550.042543640.04162691556160.0424
2314160.013514700.014014340.013713800.0132868934160.0137
244430.00424210.00404560.00434400.0042279263040.0044
25890.00081010.0010890.0008930.000956522560.0009
26290.0003200.0002240.0002240.000214378880.0002
251048576010.73851048576010.73681048576010.73791048576010.736963501355960010.7371

 Stats 8H02 Main Top Random Solved Deals

## Defensive tricks

Evaluated in half-tricks to eliminate fractions

 AK = 4  AQ = 3  A = 2  KQ = 2  K = 1  Refinements

Half-tricksNorthSouthWestEastTheoretical
08978328.56248974248.55858991198.57478984488.5683543897903608.5651
110160339.689610189779.717710175109.703710166699.6957616026285729.7010
2187663117.8969187487417.8802187801717.9102187868717.916611366010892817.8988
3159231915.1855159335915.1955159157715.1785159227315.18519641690237215.1834
4183453817.4955183317117.4825183133317.4650183180717.469511105009078417.4878
5120533911.4950120606411.5019120538911.4955120436011.48577293540369611.4856
69873249.41599876979.41949881909.42419889339.4312598875563929.4309
75145714.90735136064.89815138044.90005148804.9103311126367604.8995
83321363.16753313663.16023306353.15323301873.1489200674277403.1602
91313871.25301317341.25631325491.26411319451.258379801622161.2567
10669960.6389668020.6371670320.6393670810.639740559924440.6387
11199800.1905202340.1930201060.1917198560.189412140002800.1912
1283120.079381970.078282380.078682880.07905028965360.0792
1317330.016516080.015316540.015817010.0162998895200.0157
145470.00525650.00545220.00505600.0053331450000.0052
15640.0006650.0006650.0006720.000738438400.0006
16180.0002170.0002200.0002130.000110841600.0002
17104857603.5570104857603.5561104857603.5558104857603.55596350135596003.5563

 Stats 8H02 Main Top Random Solved Deals

## Losing tricks

 AKQ AK A void = 0AKx AQx KQx Ax Kx x = 1 Axx Kxx Qxx xx = 2Jxx or worse = 3

LosersNorthSouthWestEastTheoretical
0310.0003210.0002260.0002280.000316117680.0003
16230.00596390.00616750.00646140.0059393290360.0062
276520.073074020.070674650.071274120.07074543752440.0716
3515390.4915514530.4907517480.4935517330.493431265027880.4924
42324402.21672326982.21922329262.22142320322.2128140695678322.2156
57187346.85447196116.86277200756.86727204216.8705435412253046.8567
6156887614.9620156641114.9385156650314.9393156481514.92329490119040814.9448
7240748122.9595240661922.9513240728022.9576240789322.963514580747046822.9613
8256872924.4973256894024.4993256739424.4846256703424.481115551516491224.4901
9184384717.5843184398717.5856184447517.5903184668217.611311171920944017.5932
108436018.04528440388.04948440698.04978442308.0512511114644008.0489
112184432.08322197852.09602190482.08902190152.0887132749280002.0905
12237640.2266241560.2304240760.2296238510.227514515200000.2286
13104857607.5558104857607.5568104857607.5561104857607.55686350135596007.5566

 Stats 8H02 Main Top Random Solved Deals

## Longest suit

 Number of cards in longest suit

LengthNorthSouthWestEastTheoretical
4367600735.0571367864535.0823367815435.0776367738735.070322276608926035.0805
5465183344.3633464915644.3378464784444.3253465081644.353628156285357244.3397
6173575516.5535173491116.5454173543516.5504173417916.538410508004936016.5477
73692323.52133701103.52963706573.53493703213.5317223946442723.5266
8487800.4652489710.4670494980.4720489840.467129639970360.4668
939710.037937770.036039790.037938890.03712352378600.0370
101780.00171830.00171880.00181750.0017104550160.0016
1120.000050.000030.000070.00012311920.0000
120000000020280.0000
130000000040.0000
10104857584.9009104857584.9008104857584.9012104857584.90096350135596004.9008

 Stats 8H02 Main Top Random Solved Deals

## Shortest suit

 Number of cards in shortest suit

LengthNorthSouthWestEastTheoretical
05347645.09995357585.10945366585.11805353105.1051324272981805.1066
1320496430.5649320499830.5652320514230.5666320169630.533819402321281230.5542
2564224453.8086563823953.7704563921153.7797564450353.830234165719244853.8031
3110378810.5265110676510.5549110474910.5357110425110.53106690585616010.5361
4104857601.6976104857601.6977104857601.6973104857601.69796350135596001.6977

 Stats 8H02 Main Top Random Solved Deals

## Rank sum

 Ace = 14   King = 13   Queen = 12   Jack = 11   Ten = 10  …  Two = 2

SumNorthSouthWestEastTheoretical
410000000040.0000
4200000000280.0000
43000000001160.0000
44000000003920.0000
45000010.000010.000011320.0000
460000000029280.0000
470000000069160.0000
4800000010.0000153080.0000
490010.000020.000010.0000318840.0000
5030.000020.000010.000010.0000633440.0000
510010.00000030.00001205040.0000
5210.000090.000140.000020.00002211280.0000
5360.000160.000150.0000100.00013924600.0001
5470.0001100.0001160.0002200.00026767040.0001
55190.0002220.0002200.0002210.000211357200.0002
56290.0003210.0002260.0002420.000418608840.0003
57520.0005490.0005520.0005560.000529809920.0005
58850.0008750.0007880.0008490.000546781320.0007
591150.00111200.00111460.00141130.001172003520.0011
601910.00181780.00171800.00171900.0018108852760.0017
612700.00262750.00262460.00232810.0027161776560.0025
623860.00373900.00374240.00404000.0038236628720.0037
635650.00545890.00565530.00535350.0051340882920.0054
647760.00748350.00808300.00797970.0076484060560.0076
6511100.010611160.010611260.010711380.0109677965120.0107
6615340.014616330.015615870.015116010.0153937175200.0148
6721040.020120550.019622110.021122180.02121279237280.0201
6828180.026929180.027828890.027628200.02691725186520.0272
6937890.036138270.036538840.037037490.03582299592560.0362
7050500.048250380.048049120.046850600.04833031025680.0477
7165090.062167390.064365370.062366170.06313951858760.0622
7283880.080085420.081583710.079885400.08145098551240.0803
73107730.1027105440.1006107350.1024106400.10156511061440.1025
74138460.1320135780.1295135660.1294135440.12928232878080.1296
75169560.1617169500.1616170360.1625170330.162410309882000.1624
76212460.2026212560.2027213450.2036211360.201612790043000.2014
77256260.2444259690.2477258070.2461262850.250715721682000.2476
78315890.3013317910.3032317070.3024317600.302919152769280.3016
79382820.3651379770.3622381280.3636382590.364923128585080.3642
80454160.4331457740.4365458390.4372455950.434827690741040.4361
81542270.5171539010.5140545850.5206542110.517032874278760.5177
82638430.6089640760.6111642800.6130641420.611738706623680.6095
83746410.7118749660.7149745170.7106748680.714045204389960.7119
84862400.8224867140.8270865220.8251869030.828852372486560.8247
85998060.9518996920.9507990910.9450994430.948460200984800.9480
861130511.07811133991.08151138051.08531126621.074468664824881.0813
871277611.21841280841.22151280251.22091282131.222777721026041.2239
881442511.37571446441.37941441301.37451444191.377387309425441.3749
891612811.53811613111.53841612861.53811612031.537497350666761.5330
901776521.69421776231.69391778471.69611785171.7025107748198561.6968
911956391.86581951411.86101955551.86501949241.8589118387372161.8643
922123532.02522128672.03012127482.02892138452.0394129138937082.0336
932317702.21032310112.20312313892.20672308852.2019139859206682.2025
942481812.36682485062.36992479062.36422476152.3614150395104202.3684
952661542.53822654712.53172653932.53102650522.5277160585325362.5288
962812752.68242808502.67842817242.68672807032.6770170266500642.6813
972962742.82552958912.82182962522.82532956452.8195179275084722.8232
983088062.94503085542.94263097062.95363102852.9591187454177402.9520
993202673.05433216813.06783214953.06603206833.0583194655430563.0654
1003320623.16683321653.16783309743.15643323143.1692200745983563.1613
1013401253.24373391903.23483391433.23433392923.2357205609786963.2379
1023456853.29673450333.29053439803.28043459143.2989209153790723.2937
1033486113.32463489083.32743494383.33253495533.3336211308200803.3276
1043494073.33223501923.33973497403.33543495923.3340212031333283.3390
1053486773.32523487583.32603485743.32433490743.3290211308200803.3276
1063441453.28203458083.29793455553.29553450093.2903209153790723.2937
1073398563.24113393853.23663388013.23113396053.2387205609786963.2379
1083313283.15983319233.16553323613.16963318683.1649200745983563.1613
1093194743.04673211293.06253217213.06823203473.0551194655430563.0654
1103085462.94253091412.94823102572.95883091312.9481187454177402.9520
1112963062.82582960622.82352958492.82142958902.8218179275084722.8232
1122822832.69212809712.67952811492.68122807432.6774170266500642.6813
1132651852.52902651772.52892650422.52762648332.5256160585325362.5288
1142483442.36842480732.36582485652.37052482382.3674150395104202.3684
1152313312.20612314602.20742310972.20392308202.2013139859206682.2025
1162130122.03142131102.03242128972.03032120822.0226129138937082.0336
1171958831.86811960281.86951952111.86171952251.8618118387372161.8643
1181781481.69901780281.69781773491.69131785661.7029107748198561.6968
1191607631.53321606701.53231608901.53441608971.534497350666761.5330
1201443461.37661438461.37181439441.37281441671.374987309425441.3749
1211289181.22951279381.22011286511.22691286761.227177721026041.2239
1221136931.08431131431.07901130541.07821139391.086668664824881.0813
123997340.9511993470.9474990180.9443999790.953560200984800.9480
124866130.8260867520.8273865830.8257871810.831452372486560.8247
125749290.7146750080.7153749030.7143745640.711145204389960.7119
126641280.6116637140.6076639760.6101633130.603838706623680.6095
127543090.5179544350.5191543280.5181542080.517032874278760.5177
128457740.4365460640.4393458520.4373457720.436527690741040.4361
129384240.3664378570.3610382360.3646381210.363623128585080.3642
130317340.3026317360.3027316100.3015317460.302819152769280.3016
131261450.2493258790.2468259970.2479259190.247215721682000.2476
132213650.2038211290.2015213290.2034211420.201612790043000.2014
133171340.1634167550.1598170320.1624170010.162110309882000.1624
134137920.1315136860.1305135490.1292136500.13028232878080.1296
135108850.1038107080.1021107970.1030106160.10126511061440.1025
13683950.080185010.081183500.079684910.08105098551240.0803
13764360.061464560.061665370.062366300.06323951858760.0622
13848920.046749850.047549640.047349440.04713031025680.0477
13937530.035837820.036138250.036537940.03622299592560.0362
14028920.027628110.026829100.027828420.02711725186520.0272
14121080.020121390.020420380.019422030.02101279237280.0201
14215540.014815560.014815580.014915620.0149937175200.0148
14310360.009911350.010811230.010710580.0101677965120.0107
1448340.00807950.00768010.00768060.0077484060560.0076
1455380.00515550.00535570.00535700.0054340882920.0054
1464100.00394000.00383750.00364090.0039236628720.0037
1473050.00292690.00262420.00232710.0026161776560.0025
1481630.00161580.00151960.00191790.0017108852760.0017
1491190.00111290.00121130.0011940.000972003520.0011
150930.0009690.0007620.0006680.000646781320.0007
151560.0005540.0005500.0005530.000529809920.0005
152290.0003250.0002310.0003220.000218608840.0003
153190.0002260.0002150.0001200.000211357200.0002
154100.0001180.0002190.000290.00016767040.0001
15530.0000100.000150.000040.00003924600.0001
15650.000030.000030.000030.00002211280.0000
15710.000020.00000030.00001205040.0000
1580010.000010.000020.0000633440.0000
15910.00000020.000000318840.0000
1600010.000010.000000153080.0000
16110.000000000069160.0000
1620000000029280.0000
1630000000011320.0000
164000000003920.0000
165000000001160.0000
16600000000280.0000
1670000000040.0000
12710485760104.007910485760103.997310485760103.997310485760103.9975635013559600104.0000

 Stats 8H02 Main Top Random Solved Deals

01338191.27621336721.27481341321.27921348151.285781224254441.2791
18393718.00498386077.99768412458.02278397208.0082508403666688.0062
2215818020.5820215993120.5987215691920.5700216173020.615913073237143220.5873
3300208228.6301300182528.6276300000228.6102300019528.612118182318325628.6330
4250219923.8628250291523.8697250410423.8810250236123.864415151931938023.8608
5130855712.4794130648912.4597130716212.4661130683312.46297918106367612.4692
64358734.15684361604.15954360384.15844341154.1400263936878924.1564
7923490.8807927780.8848928280.8853927650.884755986610680.8817
8122910.1172123840.1181122970.1173122050.11647409992590.1167
99900.00949570.00919800.00939830.0094588094650.0093
10490.0005420.0004520.0005370.000426137540.0004
11000010.000010.0000577980.0000
12000000005070.0000
130000000010.0000
14104857603.2504104857603.2504104857603.2502104857603.24906350135596003.2500

 Stats 8H02 Main Top Random Solved Deals

## Hearts

 Number of hearts in hand

HeartsNorthSouthWestEastTheoretical
01340751.27861342071.27991345411.28311337111.275281224254441.2791
18399598.01058409078.01958394828.00598386157.9977508403666688.0062
2215936620.5933215699520.5707215698220.5706215997420.599113073237143220.5873
3300303028.6391300317728.6405300230328.6322300283328.637218182318325628.6330
4250161623.8573250081223.8496250189623.8599250225423.863415151931938023.8608
5130700212.4645130900412.4836130820712.4760130570712.45227918106367612.4692
64356554.15474348174.14674360604.15864363984.1618263936878924.1564
7917660.8751927160.8842928460.8854928770.885755986610680.8817
8122710.1170121250.1156123990.1182123450.11777409992590.1167
99640.00929430.00909990.00959900.0094588094650.0093
10540.0005560.0005450.0004560.000526137540.0004
1120.000010.00000000577980.0000
12000000005070.0000
130000000010.0000
14104857603.2495104857603.2498104857603.2505104857603.25036350135596003.2500

 Stats 8H02 Main Top Random Solved Deals

## Diamonds

 Number of diamonds in hand

DiamondsNorthSouthWestEastTheoretical
01341031.27891347831.28541341881.27971339351.277381224254441.2791
18390808.00218397508.00858398178.00918383637.9953508403666688.0062
2216018020.6011215880520.5880215781520.5785215992320.598613073237143220.5873
3300381528.6466300159728.6255300389828.6474299998828.610118182318325628.6330
4249880323.8304250362423.8764249931023.8353250194323.860415151931938023.8608
5130820612.4760130645612.4593130865112.4803131040612.49707918106367612.4692
64361954.15994355884.15414357844.15604356584.1548263936878924.1564
7922260.8795919490.8769928420.8854923710.880955986610680.8817
8120930.1153122540.1169124100.1184121520.11597409992590.1167
910250.00989110.008710000.00959830.0094588094650.0093
10340.0003410.0004440.0004350.000326137540.0004
110020.000010.000030.0000577980.0000
12000000005070.0000
130000000010.0000
14104857603.2498104857603.2494104857603.2502104857603.25066350135596003.2500

 Stats 8H02 Main Top Random Solved Deals

## Clubs

 Number of clubs in hand

ClubsNorthSouthWestEastTheoretical
01337971.27601341651.27951348661.28621338341.276381224254441.2791
18408708.01928399108.01008392308.00358395478.0065508403666688.0062
2215760520.5765215617120.5628216058220.6049215951820.594813073237143220.5873
3300076728.6175300474728.6555300317328.6405300179528.627318182318325628.6330
4250168423.8579249997723.8416250184423.8594250053823.847015151931938023.8608
5130885112.4822130841712.4780130483912.4439130890712.48277918106367612.4692
64361354.15934364864.16274356444.15464360474.1585263936878924.1564
7928920.8859926670.8837921410.8787923080.880355986610680.8817
8121260.1156122080.1164123930.1182122830.11717409992590.1167
99920.00959660.009210000.00959330.0089588094650.0093
10410.0004440.0004470.0004470.000426137540.0004
110020.000010.000030.0000577980.0000
12000000005070.0000
130000000010.0000
14104857603.2504104857603.2504104857603.2491104857603.25016350135596003.2500

 Stats 8H02 Main Top Random Solved Deals

Evaluated in half-tricks to eliminate fractions

 K Qx Kx JTx Qxx = 1A  KJ  KQ  Ax  QJx Kxx Axx = 2AJ AQ KJT KQx AJx AQx = 3each spade over three = 2 AK KQJ AQT AKx = 4AQJ AKJ = 5AKQ = 6Refinements

Half-tricksNorthSouthWestEastTheoretical
0326437531.1315326407431.1286326517431.1391326770231.163219776720357231.1438
1105246910.0371105264310.0388105134410.0264105239710.03646372865969610.0358
2194057318.5067194040418.5051194167618.5173193985218.499911749730818818.5031
37311926.97327305006.96667299996.96187327016.9876442517325646.9686
4115405211.0059115434111.0087115472711.0123115230210.98926989222063211.0064
55827155.55725848485.57755836505.56615832465.5623353556471845.5677
66308106.01596302296.01036291185.99976293296.0017381378877886.0058
73687803.51703684523.51383687113.51633687643.5168223331205243.5170
83027852.88763014022.87443034262.89373021712.8817183241336722.8856
91765001.68321766721.68491765231.68351759361.6779107004712621.6851
101327271.26581326161.26471319531.25841323651.262380018159521.2601
11629590.6004634720.6053630120.6009631250.602038270567790.6027
12493010.4702494350.4714494220.4713491230.468529814890820.4695
13149390.1425150480.1435152520.1455152040.14509119990880.1436
14150570.1436150470.1435152470.1454150550.14369073107810.1429
1532490.031032290.030832010.030531470.03001941946110.0306
1625690.024526550.025326120.024926530.02531587627080.0250
172190.00212080.00201980.00192160.0021128402950.0020
184510.00434520.00434760.00454450.0042276454750.0044
19120.000180.000160.000120.00004935060.0001
20260.0002250.0002320.0003250.000215168270.0002
22000010.000000489450.0000
24000000004680.0000
260000000010.0000
24104857602.6849104857602.6851104857602.6849104857602.68286350135596002.6843

 Stats 8H02 Main Top Random Solved Deals

## Heart tricks

Evaluated in half-tricks to eliminate fractions

 K Qx Kx JTx Qxx = 1A  KJ  KQ  Ax  QJx Kxx Axx = 2AJ AQ KJT KQx AJx AQx = 3each heart over three = 2 AK KQJ AQT AKx = 4AQJ AKJ = 5AKQ = 6Refinements

Half-tricksNorthSouthWestEastTheoretical
0326608631.1478326681531.1548326338131.1220326548131.142119776720357231.1438
1105383510.0502105222910.0348105275610.0399105246110.03716372865969610.0358
2193946818.4962194003018.5016194041318.5052194181418.518611749730818818.5031
37311656.97297303926.96567299576.96147301796.9635442517325646.9686
4115363611.0019115393411.0048115395211.0049115378111.00336989222063211.0064
55833035.56285831345.56125855165.58395834705.5644353556471845.5677
66289635.99836302276.01036297516.00586290295.9989381378877886.0058
73695883.52473692953.52193689213.51833686803.5160223331205243.5170
83025042.88493026102.88593031032.89063022992.8829183241336722.8856
91770671.68861762971.68131764571.68281765851.6840107004712621.6851
101317581.25651321941.26071320981.25981324941.263680018159521.2601
11631110.6019628010.5989632290.6030633560.604238270567790.6027
12487210.4646492960.4701494350.4714492590.469829814890820.4695
13150190.1432150320.1434151250.1442152580.14559119990880.1436
14149680.1427149360.1424149990.1430149860.14299073107810.1429
1531690.030232430.030932520.031032600.03111941946110.0306
1626860.025626070.024926840.025626380.02521587627080.0250
171980.00191910.00181990.00192070.0020128402950.0020
184690.00454530.00435020.00484800.0046276454750.0044
19110.000160.000140.0000140.00014935060.0001
20330.0003370.0004260.0002290.000315168270.0002
2220.000010.00000000489450.0000
24000000004680.0000
260000000010.0000
24104857602.6833104857602.6837104857602.6857104857602.68436350135596002.6843

 Stats 8H02 Main Top Random Solved Deals

## Diamond tricks

Evaluated in half-tricks to eliminate fractions

 K Qx Kx JTx Qxx = 1A  KJ  KQ  Ax  QJx Kxx Axx = 2AJ AQ KJT KQx AJx AQx = 3each diamond over three = 2 AK KQJ AQT AKx = 4AQJ AKJ = 5AKQ = 6Refinements

Half-tricksNorthSouthWestEastTheoretical
0326605331.1475326760731.1623326509031.1383326516331.139019776720357231.1438
1105272010.0395105211910.0338105185710.0313105090610.02226372865969610.0358
2194049218.5060193931218.4947194138318.5145193995218.500811749730818818.5031
37304446.96617309346.97077314596.97577310156.9715442517325646.9686
4115310810.9969115328610.9986115341310.9998115482611.01336989222063211.0064
55839685.56925838075.56765827385.55745841575.5710353556471845.5677
66283095.99206308566.01636296126.00446303636.0116381378877886.0058
73695403.52423685493.51483682903.51233690943.5200223331205243.5170
83025922.88573025272.88513036992.89633021392.8814183241336722.8856
91770881.68881768961.68701771351.68931767281.6854107004712621.6851
101324641.26331314241.25341313101.25231321821.260680018159521.2601
11633430.6041631110.6019636090.6066632790.603538270567790.6027
12491310.4685488650.4660492010.4692493870.471029814890820.4695
13148210.1413150950.1440151690.1447150400.14349119990880.1436
14150800.1438148800.1419151460.1444149230.14239073107810.1429
1532070.030631770.030332400.030932320.03081941946110.0306
1626810.025626560.025326890.025626690.02551587627080.0250
172270.00222000.00192100.00202130.0020128402950.0020
184720.00454230.00404850.00464630.0044276454750.0044
1940.0000100.000130.0000110.00014935060.0001
20160.0002240.0002210.0002150.000115168270.0002
220020.000010.000030.0000489450.0000
24000000004680.0000
260000000010.0000
24104857602.6843104857602.6831104857602.6849104857602.68526350135596002.6843

 Stats 8H02 Main Top Random Solved Deals

## Club tricks

Evaluated in half-tricks to eliminate fractions

 K Qx Kx JTx Qxx = 1A  KJ  KQ  Ax  QJx Kxx Axx = 2AJ AQ KJT KQx AJx AQx = 3each club over three = 2 AK KQJ AQT AKx = 4AQJ AKJ = 5AKQ = 6Refinements

Half-tricksNorthSouthWestEastTheoretical
0326572531.1444326583631.1454326659831.1527326660531.152819776720357231.1438
1105200310.0327105177810.0305105477010.0591105116410.02476372865969610.0358
2193653118.4682193986218.5000194043218.5054194015018.502711749730818818.5031
37309026.97047300466.96237310516.97187306046.9676442517325646.9686
4115463111.0114115359811.0016115326410.9984115370011.00256989222063211.0064
55843735.57305842195.57155824605.55485834995.5647353556471845.5677
66298796.00706304466.01246288655.99736299166.0073381378877886.0058
73698563.52723698723.52743691153.52023688443.5176223331205243.5170
83031192.89083018352.87853020052.88013031262.8908183241336722.8856
91771011.68901768191.68631761901.68031771401.6893107004712621.6851
101326341.26491320251.25911321621.26041323201.261980018159521.2601
11633100.6038636380.6069629330.6002628540.599438270567790.6027
12492990.4702491570.4688492730.4699493870.471029814890820.4695
13150620.1436151510.1445149870.1429150620.14369119990880.1436
14148420.1415149330.1424150250.1433149110.14229073107810.1429
1531010.029632350.030932180.030732090.03061941946110.0306
1626730.025526180.025026910.025725720.02451587627080.0250
172160.00212190.00212240.00211950.0019128402950.0020
184680.00454390.00424580.00444630.0044276454750.0044
1980.000180.000170.000150.00004935060.0001
20270.0003240.0002310.0003310.000315168270.0002
220020.000010.000030.0000489450.0000
24000000004680.0000
260000000010.0000
24104857602.6861104857602.6850104857602.6824104857602.68466350135596002.6843

 Stats 8H02 Main Top Random Solved Deals

 Spade stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

BitmapNorthSouthWestEastTheoretical
00000112630010.7412112691810.7471112738210.7516112781910.75576823667250410.7457
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151048576012.58631048576012.58801048576012.58531048576012.582963501355960012.5855

 Stats 8H02 Main Top Random Solved Deals

## Heart control

 Heart stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

BitmapNorthSouthWestEastTheoretical
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151048576012.58541048576012.58161048576012.58861048576012.585963501355960012.5855

 Stats 8H02 Main Top Random Solved Deals

## Diamond control

 Diamond stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

BitmapNorthSouthWestEastTheoretical
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151048576012.58731048576012.58231048576012.58611048576012.585563501355960012.5855

 Stats 8H02 Main Top Random Solved Deals

## Club control

 Club stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

BitmapNorthSouthWestEastTheoretical
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151048576012.58811048576012.58521048576012.58281048576012.583663501355960012.5855

 Stats 8H02 Main Top Random Solved Deals

 A = 64   K = 32   Q = 16   J = 8   10 = 4   9 = 2   8 = 1

BitmapNorthSouthWestEastTheoretical
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1281048576031.74861048576031.76071048576031.74721048576031.743563501355960031.7500

 Stats 8H02 Main Top Random Solved Deals

## Heart quality

 A = 64   K = 32   Q = 16   J = 8   10 = 4   9 = 2   8 = 1

BitmapNorthSouthWestEastTheoretical
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0100110524270.5000527700.5033524220.4999524920.500631901872860.5024
0100111144580.1379144190.1375146100.1393146650.13998861631350.1396
01010001678051.60031675801.59821671841.59441679261.6015101505959101.5985
0101001527590.5031529050.5045527790.5033528150.503731901872860.5024
0101010530270.5057528460.5040525400.5011528700.504231901872860.5024
0101011146160.1394147510.1407145620.1389145230.13858861631350.1396
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0101110147060.1402144610.1379143890.1372147300.14058861631350.1396
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0110010524860.5005528900.5044523540.4993523230.499031901872860.5024
0110011148060.1412146270.1395146570.1398145200.13858861631350.1396
0110100528360.5039522170.4980527960.5035524670.500431901872860.5024
0110101146450.1397148210.1413145570.1388146820.14008861631350.1396
0110110145160.1384146190.1394146910.1401147000.14028861631350.1396
011011135270.033635880.034235860.034236520.03482155531950.0339
0111000525230.5009528460.5040522890.4987527930.503531901872860.5024
0111001146470.1397147550.1407145720.1390145620.13898861631350.1396
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10001001682561.60461677001.59931674771.59721676011.5984101505959101.5985
1000101523700.4994526140.5018527980.5035531740.507131901872860.5024
1000110523180.4989528750.5043528950.5044527430.503031901872860.5024
1000111145470.1387147430.1406145770.1390147400.14068861631350.1396
10010001679971.60211675421.59781675951.59831677441.5997101505959101.5985
1001001525960.5016522840.4986525420.5011523740.499531901872860.5024
1001010526440.5021527340.5029527300.5029527180.502831901872860.5024
1001011146480.1397144830.1381146280.1395146350.13968861631350.1396
1001100526600.5022526330.5019531400.5068528330.503931901872860.5024
1001101145270.1385146180.1394147590.1408145670.13898861631350.1396
1001110147290.1405146810.1400146660.1399145820.13918861631350.1396
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10100001675581.59801675131.59751673881.59631670501.5931101505959101.5985
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1010110146140.1394145720.1390145520.1388145150.13848861631350.1396
101011136220.034535960.034335230.033635970.03432155531950.0339
1011000526070.5017527750.5033525740.5014525260.500931901872860.5024
1011001147820.1410144490.1378145180.1385146320.13958861631350.1396
1011010145510.1388146030.1393147000.1402146140.13948861631350.1396
101101134670.033135750.034135440.033835910.03422155531950.0339
1011100148110.1412145210.1385146480.1397147410.14068861631350.1396
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10111116940.00667580.00727360.00707470.0071453796200.0071
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1100010524890.5006524510.5002528330.5039526150.501831901872860.5024
1100011146410.1396144720.1380146520.1397146640.13988861631350.1396
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1100101145810.1391146630.1398145820.1391146790.14008861631350.1396
1100110148490.1416146830.1400144910.1382144670.13808861631350.1396
110011135680.034036200.034534840.033236420.03472155531950.0339
1101000527710.5033526990.5026525300.5010527560.503131901872860.5024
1101001146380.1396144170.1375145100.1384144760.13818861631350.1396
1101010147030.1402145870.1391145330.1386147850.14108861631350.1396
110101135620.034035180.033635760.034135940.03432155531950.0339
1101100149000.1421145880.1391145330.1386145720.13908861631350.1396
110110135770.034135160.033535910.034236580.03492155531950.0339
110111036410.034733950.032435550.033935710.03412155531950.0339
11011118040.00777410.00716980.00677820.0075453796200.0071
1110000526690.5023530790.5062528430.5040525710.501431901872860.5024
1110001145140.1384146350.1396147170.1404144590.13798861631350.1396
1110010146590.1398144610.1379147790.1409146010.13928861631350.1396
111001134610.033035280.033636060.034435620.03402155531950.0339
1110100146580.1398146400.1396147090.1403147270.14048861631350.1396
111010135230.033634700.033135940.034335290.03372155531950.0339
111011036150.034536640.034935750.034135900.03422155531950.0339
11101117410.00717750.00747500.00727650.0073453796200.0071
1111000147580.1407146180.1394145950.1392146740.13998861631350.1396
111100134720.033134800.033235990.034335800.03412155531950.0339
111101035110.033535470.033834440.032835770.03412155531950.0339
11110117870.00757380.00707820.00757980.0076453796200.0071
111110035230.033634760.033135600.034035030.03342155531950.0339
11111017680.00737960.00767480.00717750.0074453796200.0071
11111107490.00717660.00737660.00737140.0068453796200.0071
11111111270.00121150.00111440.00141380.001381450600.0013
1281048576031.74941048576031.73711048576031.76201048576031.751563501355960031.7500

 Stats 8H02 Main Top Random Solved Deals

## Diamond quality

 A = 64   K = 32   Q = 16   J = 8   10 = 4   9 = 2   8 = 1

BitmapNorthSouthWestEastTheoretical
0000000120481911.4900120754811.5161120476011.4895120541811.49587300620904511.4968
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10000101677731.60001673871.59631678831.60111674821.5972101505959101.5985
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10001001672921.59541678481.60071675401.59781673471.5959101505959101.5985
1000101528960.5045520810.4967526290.5019525240.500931901872860.5024
1000110526170.5018528560.5041526860.5025530790.506231901872860.5024
1000111146740.1399146380.1396146510.1397146120.13948861631350.1396
10010001669101.59181677931.60021682061.60411677641.5999101505959101.5985
1001001525160.5008529350.5048526710.5023527670.503231901872860.5024
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1001011147620.1408147020.1402147150.1403147020.14028861631350.1396
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101011134300.032734750.033135880.034236030.03442155531950.0339
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101101134950.033335370.033736520.034836580.03492155531950.0339
1011100145060.1383144990.1383146470.1397146330.13968861631350.1396
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101111035670.034036330.034636020.034436400.03472155531950.0339
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1100011147290.1405145010.1383144410.1377146200.13948861631350.1396
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110011135480.033835670.034035710.034134950.03332155531950.0339
1101000528000.5035526250.5019526350.5020525300.501031901872860.5024
1101001146380.1396145770.1390147200.1404145660.13898861631350.1396
1101010145380.1386146740.1399147570.1407146070.13938861631350.1396
110101135950.034335000.033435860.034236020.03442155531950.0339
1101100146590.1398146940.1401145950.1392147330.14058861631350.1396
110110135760.034136310.034634790.033235880.03422155531950.0339
110111036260.034635630.034035070.033436390.03472155531950.0339
11011117240.00697350.00707670.00737530.0072453796200.0071
1110000528290.5038527210.5028529410.5049524080.499831901872860.5024
1110001147520.1407144630.1379145910.1392146800.14008861631350.1396
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111001135220.033635520.033935550.033935750.03412155531950.0339
1110100146720.1399145460.1387145770.1390147220.14048861631350.1396
111010136390.034735510.033934380.032834620.03302155531950.0339
111011035940.034335570.033936040.034435980.03432155531950.0339
11101117430.00717470.00717180.00687350.0070453796200.0071
1111000145240.1385147820.1410145320.1386147590.14088861631350.1396
111100136010.034336130.034534560.033036640.03492155531950.0339
111101036960.035235030.033436650.035036280.03462155531950.0339
11110117440.00717460.00717640.00737600.0072453796200.0071
111110035930.034334720.033135460.033835960.03432155531950.0339
11111017650.00737710.00747320.00707810.0074453796200.0071
11111107640.00737420.00718100.00777480.0071453796200.0071
11111111380.00131380.00131490.00141560.001581450600.0013
1281048576031.75981048576031.73441048576031.75431048576031.751563501355960031.7500

 Stats 8H02 Main Top Random Solved Deals

## Club quality

 A = 64   K = 32   Q = 16   J = 8   10 = 4   9 = 2   8 = 1

BitmapNorthSouthWestEastTheoretical
0000000120614711.5027120623211.5035120654411.5065120588811.50027300620904511.4968
00000014741034.52144753214.53304748924.52894760724.5402287600217454.5290
00000104760794.54024741334.52174749044.52904746664.5268287600217454.5290
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1000111146880.1401148850.1420145460.1387145950.13928861631350.1396
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1281048576031.76361048576031.75451048576031.73501048576031.746863501355960031.7500

 Stats 8H02 Main Top Random Solved Deals

 7 = 32   6 = 16   5 = 8   4 = 4   3 = 2   2 = 1

BitmapNorthSouthWestEastTheoretical
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641048576015.75981048576015.74911048576015.74981048576015.741363501355960015.7500

 Stats 8H02 Main Top Random Solved Deals

## Heart ‘x’ cards

 7 = 32   6 = 16   5 = 8   4 = 4   3 = 2   2 = 1

BitmapNorthSouthWestEastTheoretical
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110011181460.1731182620.1742182860.1744182090.173711017163300.1735
110100674610.6434672390.6412671710.6406671820.640740763504210.6419
110101179680.1714182220.1738182410.1740183390.174911017163300.1735
110110181480.1731180910.1725182860.1744183200.174711017163300.1735
11011143420.041444370.042342430.040544020.04202609328150.0411
111000674110.6429674450.6432675430.6441675660.644440763504210.6419
111001184070.1755183190.1747182340.1739181440.173011017163300.1735
111010180320.1720180630.1723184470.1759183420.174911017163300.1735
11101143210.041242050.040142870.040943060.04112609328150.0411
111100182560.1741182600.1741181970.1735180510.172111017163300.1735
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11111042650.040743090.041142840.040943540.04152609328150.0411
1111118630.00828870.00859080.00878440.0080535246800.0084
641048576015.74831048576015.74971048576015.75231048576015.749763501355960015.7500

 Stats 8H02 Main Top Random Solved Deals

## Diamond ‘x’ cards

 7 = 32   6 = 16   5 = 8   4 = 4   3 = 2   2 = 1

BitmapNorthSouthWestEastTheoretical
000000168144916.0355168002516.0220167946816.0167168041816.025710176623079016.0258
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0010102202292.10032196462.09472206012.10382204992.1028133407831962.1009
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01111143540.041542740.040843810.041842320.04042609328150.0411
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1000102201012.09902196232.09452197342.09552204172.1021133407831962.1009
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100110679120.6477675380.6441671900.6408676260.644940763504210.6419
100111182960.1745182060.1736183050.1746182430.174011017163300.1735
1010002205342.10322196232.09452199322.09742205372.1032133407831962.1009
101001675760.6445673040.6419674390.6431669730.638740763504210.6419
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101011180530.1722181570.1732184110.1756180970.172611017163300.1735
101100669450.6384675560.6443672120.6410671290.640240763504210.6419
101101181970.1735179550.1712181330.1729181210.172811017163300.1735
101110184090.1756182850.1744182760.1743180690.172311017163300.1735
10111141880.039943090.041143470.041543200.04122609328150.0411
1100002201462.09952205882.10372195242.09352195542.0938133407831962.1009
110001672600.6414672940.6418670880.6398674500.643340763504210.6419
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110101179690.1714183230.1747179690.1714182260.173811017163300.1735
110110184110.1756181300.1729182920.1744186070.177511017163300.1735
11011143770.041743300.041342100.040143120.04112609328150.0411
111000672200.6411668320.6374670950.6399680520.649040763504210.6419
111001180950.1726181630.1732180730.1724183080.174611017163300.1735
111010181960.1735181450.1730180110.1718181630.173211017163300.1735
11101143640.041643760.041742780.040843280.04132609328150.0411
111100179750.1714183570.1751182880.1744183350.174911017163300.1735
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1111119070.00868350.00808860.00848700.0083535246800.0084
641048576015.74841048576015.75641048576015.74481048576015.750563501355960015.7500

 Stats 8H02 Main Top Random Solved Deals

## Club ‘x’ cards

 7 = 32   6 = 16   5 = 8   4 = 4   3 = 2   2 = 1

BitmapNorthSouthWestEastTheoretical
000000167896616.0119167908716.0130168125716.0337168049016.026410176623079016.0258
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0010102196692.09492197702.09592206712.10452215582.1129133407831962.1009
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001101674050.6428672010.6409674570.6433669930.638940763504210.6419
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001111182120.1737181150.1728182750.1743182320.173911017163300.1735
0100006424996.12736432866.13496423756.12626415836.1186389106176556.1275
0100012212282.10982207632.10542202232.10022209472.1071133407831962.1009
0100102197152.09542207962.10572202862.10082206332.1041133407831962.1009
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0101002200812.09892193712.09212204012.10192198442.0966133407831962.1009
010101671600.6405674260.6430668360.6374674780.643540763504210.6419
010110676620.6453674480.6432669550.6385672960.641840763504210.6419
010111179860.1715182070.1736180830.1725182790.174311017163300.1735
0110002194902.09322202582.10052198842.09702202682.1006133407831962.1009
011001671900.6408669890.6389675230.6439673320.642140763504210.6419
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011011182520.1741184180.1756183770.1753181290.172911017163300.1735
011100674210.6430675290.6440672080.6409674270.643040763504210.6419
011101179260.1710183610.1751183900.1754183700.175211017163300.1735
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01111143510.041541880.039943130.041143930.04192609328150.0411
1000006432786.13486427476.12976438866.14066418196.1209389106176556.1275
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1000102204692.10262210942.10852198862.09702198342.0965133407831962.1009
100011673260.6421671510.6404669800.6388669680.638740763504210.6419
1001002210382.10802195192.09352205322.10322199772.0979133407831962.1009
100101671270.6402674350.6431673660.6425670790.639740763504210.6419
100110676220.6449673120.6419668370.6374674550.643340763504210.6419
100111184180.1756180330.1720181070.1727182140.173711017163300.1735
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101001673130.6419672340.6412675670.6444670950.639940763504210.6419
101010671530.6404672650.6415671160.6401670010.639040763504210.6419
101011181730.1733182650.1742183550.1750181150.172811017163300.1735
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101101184650.1761180830.1725180860.1725182050.173611017163300.1735
101110182020.1736181550.1731181910.1735180260.171911017163300.1735
10111143030.041042610.040642020.040143700.04172609328150.0411
1100002212702.11022197112.09532208472.10622202012.1000133407831962.1009
110001679540.6481668640.6377674960.6437671740.640640763504210.6419
110010674220.6430677550.6462671260.6402676020.644740763504210.6419
110011182210.1738181550.1731181360.1730181790.173411017163300.1735
110100675490.6442669640.6386670930.6398670630.639640763504210.6419
110101180250.1719181880.1735180980.1726182490.174011017163300.1735
110110182170.1737181560.1731181290.1729181550.173111017163300.1735
11011141730.039843250.041242490.040543870.04182609328150.0411
111000671470.6404678800.6474669620.6386674510.643340763504210.6419
111001182470.1740183300.1748179880.1715183180.174711017163300.1735
111010181510.1731181470.1731182220.1738183880.175411017163300.1735
11101141930.040042530.040642600.040643030.04102609328150.0411
111100182210.1738181630.1732179600.1713183320.174811017163300.1735
11110143560.041543080.041142810.040843760.04172609328150.0411
11111043240.041243000.041041610.039744000.04202609328150.0411
1111118610.00829090.00878970.00868730.0083535246800.0084
641048576015.75911048576015.75131048576015.74431048576015.745463501355960015.7500

### General stats for 10,485,760 deals

 Stats 8H02 Main Top Random Solved Deals