Main     Stats 8H31 by Richard Pavlicek    

MP Matches thru 11-21-16

General stats for 400 deals

Each table lists all possible values for each statistic (in decimal unless a bitmap, then binary) with the number of occurrences and percent for North, South, West and East. The most frequent occurrence (mode) is tinted gold, the second-most paler gold, and the third-most even paler. The bottom line shows the number of unique values (U), the total number of occurrences, and the average (mean) value.

FGCPRYQLlsssjs h d csy hy dy cysz hz dz czsq hq dq cqsx hx dx cx
The last column of each table shows the theoretical expected occurrence and percent of each value in all bridge hands. This is mathematically determined and exact.

Percents and averages are rounded to four decimal places, unless zero, which is shown as a single digit. Hence 0.0000 percent is greater than zero but simply rounds that way to the nearest 10,000th.

TopMain

Freakness = F

0  4333
1  4432
2  5332
3  4441 5422
4  5431 6322
5  6331
 6  5440 5521 6421 7222
 7  5530 6430 7321
 8  6511 7330 7411
 9  6520 7420 8221 8311
10  8320
11  6610 7510 8410 9211
12  9220 9310
13  7600 8500 9400 A110
14  A210 A300
16  B110 B200
18  C100
20  D000

ValueNorthSouthWestEastTheoretical
049 12.250043 10.750053 13.250046 11.500066905856160 10.5361
196 24.0000100 25.000067 16.750061 15.2500136852887600 21.5512
264 16.000063 15.750060 15.000063 15.750098534079072 15.5168
352 13.000054 13.500052 13.000062 15.500086189672140 13.5729
471 17.750078 19.500081 20.250090 22.5000117942306768 18.5732
512  3.00009  2.250014  3.500010  2.500021896462016  3.4482
642 10.500032  8.000037  9.250038  9.500061166193660  9.6323
77  1.75009  2.250014  3.500015  3.750026049899304  4.1023
84  1.00005  1.250010  2.50009  2.25008651399328  1.3624
93  0.75004  1.00009  2.25005  1.25008399095848  1.3227
1001  0.250001  0.2500689049504  0.1085
1101  0.25002  0.500001548621360  0.2439
120000116001600  0.0183
1301  0.25001  0.2500063860368  0.0101
1400007941648  0.0013
160000231192  0.0000
1800002028  0.0000
2000004  0.0000
U = 18400  2.7100400  2.7750400  3.1325400  3.1075635013559600  2.9829

TopMain

Generic pattern = G

The 39 generic hand patterns in order of theoretical frequency

ValueNorthSouthWestEastTheoretical
 0 443296 24.0000100 25.000067 16.750061 15.2500136852887600 21.5512
 1 533264 16.000063 15.750060 15.000063 15.750098534079072 15.5168
 2 543150 12.500053 13.250052 13.000058 14.500082111732560 12.9307
 3 542241 10.250043 10.750042 10.500047 11.750067182326640 10.5797
 4 433349 12.250043 10.750053 13.250046 11.500066905856160 10.5361
 5 632221  5.250025  6.250029  7.250032  8.000035830574208  5.6425
 6 642122  5.50008  2.000021  5.250024  6.000029858811840  4.7021
 7 633112  3.00009  2.250014  3.500010  2.500021896462016  3.4482
 8 552112  3.000013  3.25008  2.00008  2.000020154697992  3.1739
 9 444111  2.750011  2.750010  2.500015  3.750019007345500  2.9932
10 73214  1.00005  1.25008  2.00006  1.500011943524736  1.8808
11 64303  0.75003  0.75005  1.25004  1.00008421716160  1.3262
12 54405  1.25008  2.00007  1.75004  1.00007895358900  1.2433
13 553001  0.25001  0.25005  1.25005684658408  0.8952
14 65112  0.50001  0.25004  1.00005  1.25004478821776  0.7053
15 65201  0.25001  0.25004  1.00003  0.75004134297024  0.6511
16 72223  0.75003  0.75001  0.25002  0.50003257324928  0.5130
17 74112  0.50002  0.50002  0.50002  0.50002488234320  0.3918
18 74201  0.25002  0.50003  0.75001  0.25002296831680  0.3617
19 733002  0.50004  1.00002  0.50001684343232  0.2652
20 822101  0.25001  0.250001221496848  0.1924
21 83111  0.250001  0.25001  0.2500746470296  0.1176
22 751001  0.25001  0.25000689049504  0.1085
23 832001  0.250001  0.2500689049504  0.1085
24 6610001  0.25000459366336  0.0723
25 84100000287103960  0.0452
26 92110000113101560  0.0178
27 9310000063800880  0.0100
28 9220000052200720  0.0082
29 7600001  0.2500035335872  0.0056
30 850001  0.25000019876428  0.0031
31 A21000006960096  0.0011
32 940000006134700  0.0010
33 A11100002513368  0.0004
34 A3000000981552  0.0002
35 B1100000158184  0.0000
36 B200000073008  0.0000
37 C10000002028  0.0000
38 D00000004  0.0000
U = 39400  3.2400400  3.4525400  4.1725400  3.9375635013559600  3.6954

TopMain

Controls = C

Ace = 2   King = 1

ValueNorthSouthWestEastTheoretical
024  6.000041 10.250026  6.500025  6.250051915526432  8.1755
162 15.500057 14.250053 13.250044 11.000084362730452 13.2852
286 21.500077 19.250074 18.500088 22.0000130378765244 20.5317
381 20.250094 23.500097 24.250086 21.5000132634453224 20.8869
460 15.000072 18.000069 17.250071 17.7500106275127972 16.7359
544 11.000031  7.750050 12.500048 12.000070893050800 11.1640
630  7.500017  4.250018  4.500025  6.250036155455908  5.6937
710  2.50008  2.000012  3.00008  2.000015596471176  2.4561
83  0.75002  0.50001  0.25003  0.75005192436964  0.8177
90001  0.25001322059596  0.2082
1001  0.250001  0.2500258159616  0.0407
11000028236208  0.0044
1200001086008  0.0002
U = 13400  3.0275400  2.8000400  3.0450400  3.1275635013559600  3.0000

TopMain

High-card points = P

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

ValueNorthSouthWestEastTheoretical
01  0.25003  0.7500002310789600  0.3639
11  0.25009  2.25002  0.50003  0.75005006710800  0.7884
211  2.75008  2.00007  1.75009  2.25008611542576  1.3561
32  0.50007  1.75008  2.00005  1.250015636342960  2.4624
417  4.250018  4.500014  3.500017  4.250024419055136  3.8454
527  6.750020  5.000020  5.000011  2.750032933031040  5.1862
628  7.000023  5.750029  7.250023  5.750041619399184  6.5541
721  5.250028  7.000032  8.000026  6.500050979441968  8.0281
839  9.750036  9.000037  9.250043 10.750056466608128  8.8922
941 10.250046 11.500033  8.250037  9.250059413313872  9.3562
1030  7.500041 10.250042 10.500048 12.000059723754816  9.4051
1137  9.250032  8.000033  8.250037  9.250056799933520  8.9447
1226  6.500037  9.250034  8.500031  7.750050971682080  8.0269
1336  9.000032  8.000031  7.750029  7.250043906944752  6.9143
1421  5.250015  3.750019  4.750027  6.750036153374224  5.6933
1526  6.500015  3.750020  5.000019  4.750028090962724  4.4237
169  2.250010  2.500015  3.750010  2.500021024781756  3.3109
176  1.50007  1.75009  2.25009  2.250014997082848  2.3617
1810  2.50006  1.50009  2.25005  1.250010192504020  1.6051
197  1.75001  0.25002  0.50003  0.75006579838440  1.0362
201  0.25003  0.75002  0.50003  0.75004086538404  0.6435
212  0.50002  0.500001  0.25002399507844  0.3779
221  0.250001  0.250001333800036  0.2100
2301  0.25001  0.25002  0.5000710603628  0.1119
240001  0.2500354993864  0.0559
250001  0.2500167819892  0.0264
26000074095248  0.0117
27000031157940  0.0049
28000011790760  0.0019
2900004236588  0.0007
3000001396068  0.0002
310000388196  0.0001
320000109156  0.0000
33000022360  0.0000
3400004484  0.0000
350000624  0.0000
36000060  0.0000
3700004  0.0000
U = 38400 10.1050400  9.6050400 10.0625400 10.2275635013559600 10.0000

TopMain

Revalued points = R

High-card points: +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

ValueNorthSouthWestEastTheoretical
00000293805568  0.0463
11  0.25002  0.5000001766279872  0.2781
23  0.75006  1.50004  1.00004  1.00004460756944  0.7025
34  1.00009  2.25004  1.00005  1.25008243807120  1.2982
48  2.000011  2.75005  1.250010  2.500013933491492  2.1942
512  3.000015  3.750014  3.50008  2.000021764214176  3.4274
624  6.000011  2.750019  4.750015  3.750030423163944  4.7909
727  6.750027  6.750025  6.250022  5.500038944701748  6.1329
828  7.000030  7.500034  8.500023  5.750047115157372  7.4196
931  7.750041 10.250033  8.250033  8.250053631235236  8.4457
1037  9.250045 11.250033  8.250037  9.250057295091856  9.0227
1134  8.500029  7.250036  9.000051 12.750058143902808  9.1563
1233  8.250038  9.500036  9.000034  8.500056245617636  8.8574
1336  9.000031  7.750035  8.750036  9.000051805296432  8.1581
1427  6.750031  7.750031  7.750034  8.500045528936116  7.1698
1525  6.250021  5.250023  5.750016  4.000038297308552  6.0309
1619  4.750019  4.750022  5.500017  4.250030847863460  4.8578
1715  3.75008  2.000013  3.250022  5.500023818563824  3.7509
1814  3.50008  2.000015  3.750010  2.500017638216924  2.7776
199  2.25005  1.250010  2.50007  1.750012512959412  1.9705
206  1.50005  1.250005  1.25008546506844  1.3459
213  0.75004  1.00003  0.75007  1.75005599172640  0.8817
223  0.75003  0.75001  0.250003509161412  0.5526
231  0.250003  0.750002112451680  0.3327
24001  0.25002  0.50001215549644  0.1914
2501  0.250001  0.2500665258884  0.1048
260000346309380  0.0545
270001  0.2500171594884  0.0270
28000079694360  0.0126
29000035006360  0.0055
30000014392632  0.0023
3100005429168  0.0009
3200001895604  0.0003
330000574548  0.0001
340000153448  0.0000
35000031924  0.0000
3600005172  0.0000
370000508  0.0000
38000016  0.0000
U = 39400 11.4050400 10.8875400 11.4275400 11.6425635013559600 11.3682

TopMain

Playing half-tricks = Y

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

ValueNorthSouthWestEastTheoretical
201  0.2500001022787584  0.1611
31  0.25002  0.500002  0.50001834835968  0.2889
48  2.00008  2.00005  1.25008  2.00008288385280  1.3052
58  2.00008  2.00009  2.25003  0.750013587961408  2.1398
617  4.250027  6.750016  4.000014  3.500029907404912  4.7097
736  9.000026  6.500030  7.500021  5.250041453445520  6.5280
838  9.500044 11.000036  9.000039  9.750061513033480  9.6869
937  9.250053 13.250043 10.750048 12.000070986532496 11.1787
1056 14.000049 12.250055 13.750044 11.000080169517920 12.6249
1151 12.750045 11.250044 11.000055 13.750077238005980 12.1632
1243 10.750047 11.750048 12.000051 12.750070723648784 11.1373
1339  9.750030  7.500033  8.250030  7.500057473116632  9.0507
1427  6.750015  3.750034  8.500032  8.000044455847496  7.0008
1517  4.250021  5.250013  3.250019  4.750030812461108  4.8523
169  2.250013  3.250015  3.750016  4.000020488020544  3.2264
178  2.00005  1.25007  1.750011  2.750012080979332  1.9025
181  0.25003  0.75009  2.25004  1.00006865130592  1.0811
193  0.75001  0.25001  0.25002  0.50003412850548  0.5374
201  0.25001  0.25001  0.25001  0.25001635279380  0.2575
210000673249156  0.1060
22001  0.25000269155616  0.0424
23000086893416  0.0137
2401  0.25000027926304  0.0044
2500005652256  0.0009
2600001437888  0.0002
U = 25400 10.5450400 10.3175400 10.8450400 10.9525635013559600 10.7371

TopMain

Quick half-tricks = Q

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

ValueNorthSouthWestEastTheoretical
025  6.250045 11.250028  7.000027  6.750054389790360  8.5651
143 10.750040 10.000038  9.500034  8.500061602628572  9.7010
279 19.750069 17.250072 18.000069 17.2500113660108928 17.8988
360 15.000066 16.500073 18.250060 15.000096416902372 15.1834
467 16.750080 20.000067 16.750081 20.2500111050090784 17.4878
546 11.500039  9.750046 11.500048 12.000072935403696 11.4856
635  8.750031  7.750038  9.500041 10.250059887556392  9.4309
721  5.250015  3.750016  4.000019  4.750031112636760  4.8995
818  4.50008  2.000017  4.250013  3.250020067427740  3.1602
94  1.00004  1.00004  1.00004  1.00007980162216  1.2567
101  0.25002  0.50001  0.25001  0.25004055992444  0.6387
111  0.2500001  0.25001214000280  0.1912
1201  0.250002  0.5000502896536  0.0792
13000099889520  0.0157
14000033145000  0.0052
1500003843840  0.0006
1600001084160  0.0002
U = 17400  3.5925400  3.2850400  3.5525400  3.7000635013559600  3.5563

TopMain

Losing trick count = L

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

ValueNorthSouthWestEastTheoretical
000001611768  0.0003
101  0.25000039329036  0.0062
2001  0.25000454375244  0.0716
31  0.25001  0.25002  0.50003  0.75003126502788  0.4924
47  1.75004  1.00008  2.00007  1.750014069567832  2.2156
524  6.000023  5.750028  7.000030  7.500043541225304  6.8567
662 15.500058 14.500062 15.500060 15.000094901190408 14.9448
793 23.250088 22.000092 23.0000104 26.0000145807470468 22.9613
8100 25.000092 23.0000102 25.500093 23.2500155515164912 24.4901
971 17.750085 21.250067 16.750071 17.7500111719209440 17.5932
1032  8.000034  8.500031  7.750021  5.250051111464400  8.0489
1110  2.500012  3.00007  1.750011  2.750013274928000  2.0905
1202  0.5000001451520000  0.2286
U = 13400  7.6075400  7.7400400  7.5050400  7.4725635013559600  7.5566

TopMain

Longest suit = ls

Number of cards in longest suit

ValueNorthSouthWestEastTheoretical
4156 39.0000154 38.5000130 32.5000122 30.5000222766089260 35.0805
5172 43.0000181 45.2500170 42.5000185 46.2500281562853572 44.3397
661 15.250047 11.750078 19.500078 19.5000105080049360 16.5477
710  2.500015  3.750020  5.000013  3.250022394644272  3.5266
81  0.25003  0.75002  0.50002  0.50002963997036  0.4668
90000235237860  0.0370
10000010455016  0.0016
110000231192  0.0000
1200002028  0.0000
1300004  0.0000
U = 10400  4.8200400  4.8300400  4.9850400  4.9700635013559600  4.9008

TopMain

Shortest suit = ss

Number of cards in shortest suit

ValueNorthSouthWestEastTheoretical
010  2.500020  5.000027  6.750020  5.000032427298180  5.1066
1116 29.0000103 25.7500121 30.2500129 32.2500194023212812 30.5542
2225 56.2500234 58.5000199 49.7500205 51.2500341657192448 53.8031
349 12.250043 10.750053 13.250046 11.500066905856160 10.5361
U = 4400  1.7825400  1.7500400  1.6950400  1.6925635013559600  1.6977

TopMain

Rank sum = j

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

ValueNorthSouthWestEastTheoretical
4100004  0.0000
42000028  0.0000
430000116  0.0000
440000392  0.0000
4500001132  0.0000
4600002928  0.0000
4700006916  0.0000
48000015308  0.0000
49000031884  0.0000
50000063344  0.0000
510000120504  0.0000
520000221128  0.0000
530000392460  0.0001
540000676704  0.0001
5500001135720  0.0002
5600001860884  0.0003
5700002980992  0.0005
5800004678132  0.0007
5900007200352  0.0011
60000010885276  0.0017
61000016177656  0.0025
621  0.250000023662872  0.0037
63000034088292  0.0054
64000048406056  0.0076
650001  0.250067796512  0.0107
66000093717520  0.0148
670000127923728  0.0201
681  0.2500000172518652  0.0272
6901  0.250000229959256  0.0362
7001  0.250000303102568  0.0477
710000395185876  0.0622
721  0.2500000509855124  0.0803
731  0.25001  0.250000651106144  0.1025
740000823287808  0.1296
752  0.500001  0.250001030988200  0.1624
762  0.50002  0.50001  0.25001  0.25001279004300  0.2014
772  0.50002  0.50001  0.25001  0.25001572168200  0.2476
7801  0.250001  0.25001915276928  0.3016
791  0.25004  1.00001  0.25001  0.25002312858508  0.3642
802  0.50003  0.75003  0.750002769074104  0.4361
814  1.00003  0.75001  0.25004  1.00003287427876  0.5177
822  0.50002  0.50001  0.25001  0.25003870662368  0.6095
837  1.75002  0.50001  0.25004  1.00004520438996  0.7119
844  1.00007  1.75004  1.00009  2.25005237248656  0.8247
854  1.00004  1.00002  0.50001  0.25006020098480  0.9480
867  1.75003  0.75004  1.00005  1.25006866482488  1.0813
872  0.50007  1.75006  1.50003  0.75007772102604  1.2239
882  0.50002  0.50008  2.00004  1.00008730942544  1.3749
893  0.75002  0.50005  1.25007  1.75009735066676  1.5330
905  1.25007  1.75006  1.50004  1.000010774819856  1.6968
917  1.75009  2.25005  1.25004  1.000011838737216  1.8643
927  1.75008  2.00007  1.75007  1.750012913893708  2.0336
938  2.00004  1.00004  1.000010  2.500013985920668  2.2025
948  2.00006  1.50009  2.250010  2.500015039510420  2.3684
9513  3.250011  2.75007  1.750013  3.250016058532536  2.5288
9611  2.750011  2.750019  4.75006  1.500017026650064  2.6813
978  2.000010  2.500016  4.000016  4.000017927508472  2.8232
986  1.500010  2.500016  4.000015  3.750018745417740  2.9520
9911  2.75008  2.000015  3.750011  2.750019465543056  3.0654
10018  4.500019  4.75008  2.000013  3.250020074598356  3.1613
10113  3.250014  3.50008  2.000018  4.500020560978696  3.2379
10211  2.750015  3.750011  2.750015  3.750020915379072  3.2937
1039  2.250024  6.000010  2.500011  2.750021130820080  3.3276
10412  3.000011  2.750017  4.250017  4.250021203133328  3.3390
10513  3.250011  2.750012  3.000010  2.500021130820080  3.3276
10615  3.750012  3.000018  4.500013  3.250020915379072  3.2937
10718  4.500021  5.250017  4.250011  2.750020560978696  3.2379
10810  2.500014  3.500013  3.250011  2.750020074598356  3.1613
10918  4.500011  2.750011  2.750014  3.500019465543056  3.0654
1106  1.500018  4.50009  2.250014  3.500018745417740  2.9520
1117  1.750011  2.75009  2.25009  2.250017927508472  2.8232
11214  3.500010  2.500012  3.000013  3.250017026650064  2.6813
11310  2.500013  3.250012  3.00009  2.250016058532536  2.5288
11411  2.75007  1.750011  2.75008  2.000015039510420  2.3684
1159  2.250012  3.00006  1.500011  2.750013985920668  2.2025
1168  2.00004  1.00008  2.00005  1.250012913893708  2.0336
11711  2.75008  2.000010  2.500013  3.250011838737216  1.8643
11810  2.50001  0.25006  1.50003  0.750010774819856  1.6968
1199  2.25004  1.00009  2.25005  1.25009735066676  1.5330
1206  1.50005  1.25009  2.25006  1.50008730942544  1.3749
1212  0.50002  0.50008  2.00006  1.50007772102604  1.2239
1222  0.50003  0.75003  0.75003  0.75006866482488  1.0813
1234  1.00003  0.75004  1.00005  1.25006020098480  0.9480
1244  1.00003  0.75004  1.00002  0.50005237248656  0.8247
1255  1.25002  0.50002  0.50003  0.75004520438996  0.7119
1264  1.00002  0.50002  0.50004  1.00003870662368  0.6095
12702  0.500001  0.25003287427876  0.5177
1282  0.50001  0.25001  0.25002  0.50002769074104  0.4361
1291  0.25001  0.2500002312858508  0.3642
1301  0.250002  0.50001  0.25001915276928  0.3016
13101  0.25001  0.250001572168200  0.2476
1322  0.500001  0.25001  0.25001279004300  0.2014
133001  0.25001  0.25001030988200  0.1624
1341  0.2500002  0.5000823287808  0.1296
13501  0.250000651106144  0.1025
1361  0.25002  0.50001  0.25000509855124  0.0803
1371  0.2500000395185876  0.0622
13801  0.25001  0.25001  0.2500303102568  0.0477
1390000229959256  0.0362
1400000172518652  0.0272
1410000127923728  0.0201
142000093717520  0.0148
143000067796512  0.0107
144000048406056  0.0076
145000034088292  0.0054
146000023662872  0.0037
147000016177656  0.0025
148000010885276  0.0017
14900007200352  0.0011
15000004678132  0.0007
15100002980992  0.0005
15200001860884  0.0003
15300001135720  0.0002
1540000676704  0.0001
1550000392460  0.0001
1560000221128  0.0000
1570000120504  0.0000
158000063344  0.0000
159000031884  0.0000
160000015308  0.0000
16100006916  0.0000
16200002928  0.0000
16300001132  0.0000
1640000392  0.0000
1650000116  0.0000
166000028  0.0000
16700004  0.0000
U = 127400 104.0925400 103.2075400 104.6375400 104.0625635013559600 104.0000

TopMain

Spade length = s

Number of spades in hand

ValueNorthSouthWestEastTheoretical
03  0.75004  1.00008  2.00004  1.00008122425444  1.2791
128  7.000028  7.000027  6.750035  8.750050840366668  8.0062
297 24.2500104 26.000077 19.250069 17.2500130732371432 20.5873
3107 26.7500108 27.0000121 30.2500116 29.0000181823183256 28.6330
4101 25.250099 24.750089 22.250099 24.7500151519319380 23.8608
552 13.000041 10.250054 13.500050 12.500079181063676 12.4692
68  2.000012  3.000019  4.750023  5.750026393687892  4.1564
74  1.00001  0.25004  1.00004  1.00005598661068  0.8817
803  0.75001  0.25000740999259  0.1167
9000058809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 14400  3.2075400  3.1600400  3.3000400  3.3325635013559600  3.2500

TopMain

Heart length = h

Number of hearts in hand

ValueNorthSouthWestEastTheoretical
01  0.250012  3.00006  1.50006  1.50008122425444  1.2791
129  7.250023  5.750032  8.000034  8.500050840366668  8.0062
289 22.250084 21.000084 21.000082 20.5000130732371432 20.5873
3107 26.7500118 29.5000113 28.2500120 30.0000181823183256 28.6330
4109 27.250097 24.250093 23.250085 21.2500151519319380 23.8608
542 10.500051 12.750042 10.500046 11.500079181063676 12.4692
622  5.500013  3.250022  5.500022  5.500026393687892  4.1564
702  0.50007  1.75004  1.00005598661068  0.8817
81  0.250001  0.25001  0.2500740999259  0.1167
9000058809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 14400  3.2850400  3.2000400  3.2750400  3.2400635013559600  3.2500

TopMain

Diamond length = d

Number of diamonds in hand

ValueNorthSouthWestEastTheoretical
01  0.25001  0.250010  2.50004  1.00008122425444  1.2791
130  7.500022  5.500041 10.250033  8.250050840366668  8.0062
276 19.000079 19.750080 20.000087 21.7500130732371432 20.5873
3126 31.5000118 29.5000127 31.7500115 28.7500181823183256 28.6330
4110 27.5000104 26.000080 20.000082 20.5000151519319380 23.8608
538  9.500056 14.000044 11.000053 13.250079181063676 12.4692
615  3.750015  3.750016  4.000022  5.500026393687892  4.1564
74  1.00005  1.25002  0.50004  1.00005598661068  0.8817
80000740999259  0.1167
9000058809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 14400  3.2700400  3.3875400  3.0800400  3.2625635013559600  3.2500

TopMain

Club length = c

Number of clubs in hand

ValueNorthSouthWestEastTheoretical
05  1.25004  1.00004  1.00006  1.50008122425444  1.2791
134  8.500034  8.500030  7.500035  8.750050840366668  8.0062
271 17.750073 18.250077 19.250093 23.2500130732371432 20.5873
3134 33.5000121 30.2500117 29.2500105 26.2500181823183256 28.6330
483 20.7500103 25.750094 23.500091 22.7500151519319380 23.8608
555 13.750051 12.750048 12.000057 14.250079181063676 12.4692
616  4.00007  1.750023  5.750011  2.750026393687892  4.1564
72  0.50007  1.75007  1.75001  0.25005598661068  0.8817
80001  0.2500740999259  0.1167
9000058809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 14400  3.2375400  3.2525400  3.3450400  3.1650635013559600  3.2500

TopMain

Spade playing half-tricks = sy

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

ValueNorthSouthWestEastTheoretical
0106 26.5000134 33.5000130 32.5000114 28.5000197767203572 31.1438
150 12.500046 11.500034  8.500039  9.750063728659696 10.0358
283 20.750083 20.750067 16.750073 18.2500117497308188 18.5031
327  6.750025  6.250031  7.750025  6.250044251732564  6.9686
445 11.250041 10.250051 12.750048 12.000069892220632 11.0064
527  6.750018  4.500017  4.250028  7.000035355647184  5.5677
626  6.500017  4.250023  5.750024  6.000038137887788  6.0058
717  4.250019  4.750016  4.000012  3.000022333120524  3.5170
810  2.50004  1.000013  3.250018  4.500018324133672  2.8856
92  0.50005  1.25006  1.50007  1.750010700471262  1.6851
103  0.75003  0.75004  1.00003  0.75008001815952  1.2601
112  0.500004  1.00005  1.25003827056779  0.6027
122  0.50002  0.50002  0.50003  0.75002981489082  0.4695
13002  0.50001  0.2500911999088  0.1436
1402  0.500000907310781  0.1429
1501  0.250000194194611  0.0306
160000158762708  0.0250
17000012840295  0.0020
18000027645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 24400  2.6525400  2.3750400  2.7300400  2.9025635013559600  2.6843

TopMain

Heart playing half-tricks = hy

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

ValueNorthSouthWestEastTheoretical
0119 29.7500132 33.0000131 32.7500125 31.2500197767203572 31.1438
144 11.000038  9.500040 10.000036  9.000063728659696 10.0358
271 17.750073 18.250069 17.250087 21.7500117497308188 18.5031
337  9.250021  5.250036  9.000031  7.750044251732564  6.9686
444 11.000055 13.750031  7.750033  8.250069892220632 11.0064
517  4.250018  4.500021  5.250016  4.000035355647184  5.5677
620  5.000023  5.750021  5.250022  5.500038137887788  6.0058
717  4.250010  2.500017  4.250015  3.750022333120524  3.5170
813  3.250014  3.500013  3.250013  3.250018324133672  2.8856
96  1.50005  1.25006  1.50006  1.500010700471262  1.6851
105  1.25008  2.00008  2.00005  1.25008001815952  1.2601
111  0.25001  0.25003  0.75006  1.50003827056779  0.6027
125  1.25001  0.25003  0.75004  1.00002981489082  0.4695
1301  0.250000911999088  0.1436
141  0.250001  0.25000907310781  0.1429
150000194194611  0.0306
160001  0.2500158762708  0.0250
17000012840295  0.0020
18000027645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 24400  2.7250400  2.5950400  2.7025400  2.7250635013559600  2.6843

TopMain

Diamond playing half-tricks = dy

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

ValueNorthSouthWestEastTheoretical
0111 27.7500112 28.0000136 34.0000127 31.7500197767203572 31.1438
140 10.000041 10.250033  8.250042 10.500063728659696 10.0358
291 22.750079 19.750084 21.000070 17.5000117497308188 18.5031
334  8.500026  6.500026  6.500024  6.000044251732564  6.9686
447 11.750049 12.250044 11.000040 10.000069892220632 11.0064
520  5.000024  6.000019  4.750024  6.000035355647184  5.5677
622  5.500031  7.750017  4.250024  6.000038137887788  6.0058
713  3.250014  3.500016  4.000023  5.750022333120524  3.5170
810  2.50006  1.500011  2.75009  2.250018324133672  2.8856
93  0.75002  0.50005  1.25008  2.000010700471262  1.6851
103  0.75007  1.75005  1.25006  1.50008001815952  1.2601
111  0.25005  1.25002  0.50002  0.50003827056779  0.6027
123  0.75004  1.00001  0.25001  0.25002981489082  0.4695
131  0.250001  0.25000911999088  0.1436
141  0.2500000907310781  0.1429
150000194194611  0.0306
160000158762708  0.0250
17000012840295  0.0020
18000027645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 24400  2.6150400  2.7900400  2.4850400  2.6925635013559600  2.6843

TopMain

Club playing half-tricks = cy

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

ValueNorthSouthWestEastTheoretical
0135 33.7500123 30.7500111 27.7500123 30.7500197767203572 31.1438
133  8.250045 11.250048 12.000034  8.500063728659696 10.0358
274 18.500076 19.000063 15.750082 20.5000117497308188 18.5031
328  7.000031  7.750031  7.750027  6.750044251732564  6.9686
447 11.750049 12.250046 11.500045 11.250069892220632 11.0064
518  4.500021  5.250025  6.250027  6.750035355647184  5.5677
625  6.250019  4.750029  7.250029  7.250038137887788  6.0058
712  3.000014  3.500011  2.750012  3.000022333120524  3.5170
814  3.50006  1.500014  3.50007  1.750018324133672  2.8856
910  2.50005  1.25006  1.50005  1.250010700471262  1.6851
102  0.50003  0.75007  1.75002  0.50008001815952  1.2601
112  0.50002  0.50002  0.50006  1.50003827056779  0.6027
1203  0.75006  1.500002981489082  0.4695
1303  0.750000911999088  0.1436
14001  0.25001  0.2500907310781  0.1429
150000194194611  0.0306
160000158762708  0.0250
17000012840295  0.0020
18000027645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 24400  2.5525400  2.5575400  2.9275400  2.6325635013559600  2.6843

TopMain

Spade control map = sz

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

ValueNorthSouthWestEastTheoretical
0000035  8.750041 10.250047 11.750040 10.000068236672504 10.7457
0000145 11.250064 16.000047 11.750039  9.750075422521980 11.8773
0001121  5.250022  5.500024  6.000027  6.750043018771796  6.7745
001113  0.75004  1.00008  2.00004  1.00008122425444  1.2791
0100024  6.000028  7.000019  4.750026  6.500038199411536  6.0155
010019  2.250011  2.750013  3.250013  3.250016760560440  2.6394
010114  1.00005  1.25001  0.25004  1.00003910797436  0.6159
1000025  6.250023  5.750019  4.750016  4.000033507777940  5.2767
1000142 10.500050 12.500045 11.250039  9.750071592376960 11.2741
1001039  9.750043 10.750049 12.250057 14.250071592376960 11.2741
1001140 10.000031  7.750024  6.000030  7.500045896476704  7.2276
1010052 13.000035  8.750060 15.000050 12.500071592376960 11.2741
1010138  9.500029  7.250024  6.000029  7.250045896476704  7.2276
1011012  3.00009  2.250015  3.750016  4.000027459860220  4.3243
1011111  2.75005  1.25005  1.250010  2.500013804676016  2.1739
U = 15400 13.4425400 11.8475400 12.5275400 13.0575635013559600 12.5855

TopMain

Heart control map = hz

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

ValueNorthSouthWestEastTheoretical
0000037  9.250038  9.500041 10.250049 12.250068236672504 10.7457
0000154 13.500051 12.750054 13.500044 11.000075422521980 11.8773
0001127  6.750021  5.250025  6.250030  7.500043018771796  6.7745
001111  0.250012  3.00006  1.50006  1.50008122425444  1.2791
0100020  5.000034  8.500026  6.500024  6.000038199411536  6.0155
010018  2.000010  2.50008  2.000011  2.750016760560440  2.6394
0101101  0.25003  0.75001  0.25003910797436  0.6159
1000022  5.500021  5.250018  4.500022  5.500033507777940  5.2767
1000160 15.000030  7.500051 12.750035  8.750071592376960 11.2741
1001039  9.750052 13.000042 10.500046 11.500071592376960 11.2741
1001131  7.750029  7.250032  8.000028  7.000045896476704  7.2276
1010045 11.250049 12.250045 11.250042 10.500071592376960 11.2741
1010130  7.500024  6.000026  6.500033  8.250045896476704  7.2276
101109  2.250020  5.000015  3.750018  4.500027459860220  4.3243
1011117  4.25008  2.00008  2.000011  2.750013804676016  2.1739
U = 15400 12.8900400 12.5300400 12.4075400 12.4175635013559600 12.5855

TopMain

Diamond control map = dz

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

ValueNorthSouthWestEastTheoretical
0000050 12.500044 11.000041 10.250035  8.750068236672504 10.7457
0000139  9.750042 10.500045 11.250055 13.750075422521980 11.8773
0001122  5.500020  5.000038  9.500026  6.500043018771796  6.7745
001111  0.25001  0.250010  2.50004  1.00008122425444  1.2791
0100029  7.250034  8.500020  5.000023  5.750038199411536  6.0155
0100111  2.75009  2.25008  2.000012  3.000016760560440  2.6394
010114  1.00002  0.50001  0.25005  1.25003910797436  0.6159
1000024  6.000022  5.500015  3.750019  4.750033507777940  5.2767
1000143 10.750052 13.000043 10.750051 12.750071592376960 11.2741
1001051 12.750052 13.000047 11.750045 11.250071592376960 11.2741
1001125  6.250035  8.750023  5.750022  5.500045896476704  7.2276
1010040 10.000039  9.750053 13.250050 12.500071592376960 11.2741
1010136  9.000025  6.250026  6.500035  8.750045896476704  7.2276
1011017  4.250014  3.500021  5.250013  3.250027459860220  4.3243
101118  2.00009  2.25009  2.25005  1.250013804676016  2.1739
U = 15400 12.7725400 12.8525400 12.5025400 12.6075635013559600 12.5855

TopMain

Club control map = cz

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

ValueNorthSouthWestEastTheoretical
0000051 12.750050 12.500037  9.250035  8.750068236672504 10.7457
0000144 11.000037  9.250042 10.500053 13.250075422521980 11.8773
0001128  7.000027  6.750023  5.750029  7.250043018771796  6.7745
001115  1.25004  1.00004  1.00006  1.50008122425444  1.2791
0100028  7.000032  8.000028  7.000018  4.500038199411536  6.0155
0100111  2.750010  2.500011  2.75009  2.250016760560440  2.6394
0101106  1.50004  1.00003  0.75003910797436  0.6159
1000018  4.500017  4.250018  4.500021  5.250033507777940  5.2767
1000143 10.750057 14.250050 12.500039  9.750071592376960 11.2741
1001052 13.000044 11.000052 13.000047 11.750071592376960 11.2741
1001129  7.250024  6.000030  7.500024  6.000045896476704  7.2276
1010043 10.750043 10.750043 10.750048 12.000071592376960 11.2741
1010122  5.500031  7.750026  6.500046 11.500045896476704  7.2276
1011019  4.750010  2.500019  4.750016  4.000027459860220  4.3243
101117  1.75008  2.000013  3.25006  1.500013804676016  2.1739
U = 15400 12.2325400 12.4050400 13.1825400 12.8925635013559600 12.5855

TopMain

Spade quality map = sq

Spade Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
000000037  9.250043 10.750042 10.500047 11.750073006209045 11.4968
000000119  4.750023  5.750024  6.000015  3.750028760021745  4.5290
00000107  1.750022  5.500018  4.500018  4.500028760021745  4.5290
00000116  1.500006  1.50002  0.500010150595910  1.5985
000010020  5.000022  5.500011  2.750016  4.000028760021745  4.5290
00001014  1.00007  1.75003  0.75003  0.750010150595910  1.5985
00001109  2.25006  1.50009  2.25008  2.000010150595910  1.5985
00001112  0.50004  1.00001  0.25004  1.00003190187286  0.5024
000100023  5.750019  4.750024  6.000016  4.000028760021745  4.5290
00010014  1.000010  2.50004  1.00007  1.750010150595910  1.5985
00010107  1.75005  1.25006  1.50004  1.000010150595910  1.5985
00010112  0.50001  0.25002  0.500003190187286  0.5024
00011004  1.000012  3.00006  1.50009  2.250010150595910  1.5985
00011017  1.75001  0.25003  0.75001  0.25003190187286  0.5024
00011102  0.50002  0.50002  0.500003190187286  0.5024
000111101  0.250000886163135  0.1396
001000020  5.000017  4.250017  4.250018  4.500028760021745  4.5290
00100013  0.75006  1.50006  1.50005  1.250010150595910  1.5985
00100105  1.25009  2.25008  2.000013  3.250010150595910  1.5985
00100111  0.25002  0.50002  0.50001  0.25003190187286  0.5024
00101004  1.000010  2.50008  2.00005  1.250010150595910  1.5985
00101013  0.75004  1.0000003190187286  0.5024
00101104  1.00001  0.25001  0.250003190187286  0.5024
001011102  0.50001  0.25001  0.2500886163135  0.1396
00110005  1.25006  1.500011  2.75008  2.000010150595910  1.5985
00110012  0.50003  0.75002  0.50002  0.50003190187286  0.5024
001101001  0.25001  0.250003190187286  0.5024
00110110000886163135  0.1396
00111002  0.50003  0.75003  0.75001  0.25003190187286  0.5024
00111011  0.25001  0.25001  0.25000886163135  0.1396
00111100000886163135  0.1396
00111111  0.2500000215553195  0.0339
010000022  5.500019  4.750016  4.000017  4.250028760021745  4.5290
01000016  1.50006  1.50004  1.00008  2.000010150595910  1.5985
01000105  1.25008  2.00008  2.00008  2.000010150595910  1.5985
01000111  0.25002  0.50003  0.75002  0.50003190187286  0.5024
01001007  1.75005  1.25008  2.000010  2.500010150595910  1.5985
01001013  0.750003  0.75002  0.50003190187286  0.5024
01001103  0.75002  0.50001  0.25006  1.50003190187286  0.5024
01001111  0.25001  0.25002  0.50000886163135  0.1396
01010008  2.00006  1.50008  2.00006  1.500010150595910  1.5985
010100103  0.75001  0.25002  0.50003190187286  0.5024
01010103  0.75003  0.750002  0.50003190187286  0.5024
01010111  0.250001  0.25001  0.2500886163135  0.1396
01011001  0.25002  0.50002  0.50002  0.50003190187286  0.5024
01011011  0.2500001  0.2500886163135  0.1396
010111001  0.25001  0.25000886163135  0.1396
01011110000215553195  0.0339
01100005  1.25008  2.00002  0.50005  1.250010150595910  1.5985
01100013  0.75005  1.25003  0.75002  0.50003190187286  0.5024
01100105  1.25003  0.75001  0.25005  1.25003190187286  0.5024
01100111  0.250003  0.75001  0.2500886163135  0.1396
01101002  0.50002  0.50001  0.25003  0.75003190187286  0.5024
0110101003  0.75001  0.2500886163135  0.1396
011011002  0.500001  0.2500886163135  0.1396
01101110000215553195  0.0339
01110001  0.25001  0.25002  0.50004  1.00003190187286  0.5024
01110014  1.0000001  0.2500886163135  0.1396
01110100001  0.2500886163135  0.1396
01110110000215553195  0.0339
0111100001  0.25000886163135  0.1396
01111010000215553195  0.0339
01111100000215553195  0.0339
0111111000045379620  0.0071
100000023  5.750017  4.250016  4.000021  5.250028760021745  4.5290
100000110  2.50009  2.250015  3.75005  1.250010150595910  1.5985
100001010  2.50008  2.000012  3.00008  2.000010150595910  1.5985
10000112  0.50001  0.25002  0.50002  0.50003190187286  0.5024
10001006  1.50006  1.50002  0.50007  1.750010150595910  1.5985
100010101  0.25004  1.00004  1.00003190187286  0.5024
10001104  1.00002  0.50001  0.25002  0.50003190187286  0.5024
10001111  0.250002  0.50000886163135  0.1396
10010009  2.25005  1.25008  2.00009  2.250010150595910  1.5985
10010013  0.750003  0.75001  0.25003190187286  0.5024
10010101  0.2500001  0.25003190187286  0.5024
10010110000886163135  0.1396
10011002  0.50002  0.50002  0.50003  0.75003190187286  0.5024
10011011  0.25001  0.25001  0.25000886163135  0.1396
1001110001  0.25000886163135  0.1396
10011110001  0.2500215553195  0.0339
10100008  2.00003  0.75006  1.50006  1.500010150595910  1.5985
10100012  0.50003  0.75002  0.50002  0.50003190187286  0.5024
10100104  1.00001  0.25001  0.25001  0.25003190187286  0.5024
10100111  0.250001  0.25000886163135  0.1396
10101002  0.500002  0.50003  0.75003190187286  0.5024
101010101  0.250000886163135  0.1396
10101100002  0.5000886163135  0.1396
10101110000215553195  0.0339
10110003  0.75003  0.75001  0.25002  0.50003190187286  0.5024
1011001001  0.25001  0.2500886163135  0.1396
10110101  0.25001  0.25002  0.50001  0.2500886163135  0.1396
1011011001  0.25001  0.2500215553195  0.0339
10111000000886163135  0.1396
101110101  0.250000215553195  0.0339
10111100000215553195  0.0339
1011111000045379620  0.0071
11000006  1.50004  1.00003  0.75004  1.000010150595910  1.5985
11000012  0.500003  0.750003190187286  0.5024
11000101  0.250003  0.75003  0.75003190187286  0.5024
11000111  0.25001  0.25001  0.25001  0.2500886163135  0.1396
11001001  0.25001  0.25001  0.25002  0.50003190187286  0.5024
11001011  0.25001  0.250000886163135  0.1396
11001101  0.25001  0.250000886163135  0.1396
11001110001  0.2500215553195  0.0339
11010001  0.25001  0.25003  0.75002  0.50003190187286  0.5024
1101001001  0.25000886163135  0.1396
11010100002  0.5000886163135  0.1396
11010110000215553195  0.0339
110110001  0.250001  0.2500886163135  0.1396
11011010000215553195  0.0339
11011100001  0.2500215553195  0.0339
1101111000045379620  0.0071
11100001  0.250001  0.25002  0.50003190187286  0.5024
11100012  0.5000000886163135  0.1396
111001002  0.50001  0.25000886163135  0.1396
11100110000215553195  0.0339
11101001  0.2500002  0.5000886163135  0.1396
11101010000215553195  0.0339
11101100000215553195  0.0339
1110111000045379620  0.0071
1111000001  0.25001  0.2500886163135  0.1396
11110011  0.2500000215553195  0.0339
11110101  0.25001  0.250000215553195  0.0339
1111011000045379620  0.0071
11111000000215553195  0.0339
1111101000045379620  0.0071
1111110000045379620  0.0071
111111100008145060  0.0013
U = 128400 34.0575400 27.6825400 31.6825400 33.5775635013559600 31.7500

TopMain

Heart quality map = hq

Heart Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
000000045 11.250057 14.250044 11.000041 10.250073006209045 11.4968
000000115  3.750013  3.250015  3.750025  6.250028760021745  4.5290
000001016  4.000016  4.000014  3.500023  5.750028760021745  4.5290
00000116  1.50009  2.250015  3.750011  2.750010150595910  1.5985
000010023  5.750021  5.250020  5.000014  3.500028760021745  4.5290
00001013  0.75002  0.50008  2.00005  1.250010150595910  1.5985
00001107  1.75006  1.50005  1.25005  1.250010150595910  1.5985
00001113  0.75004  1.00002  0.50002  0.50003190187286  0.5024
000100015  3.750022  5.500019  4.750020  5.000028760021745  4.5290
00010015  1.25008  2.00008  2.00004  1.000010150595910  1.5985
00010107  1.75004  1.00007  1.75007  1.750010150595910  1.5985
00010112  0.50004  1.00002  0.50002  0.50003190187286  0.5024
00011009  2.25008  2.00004  1.000010  2.500010150595910  1.5985
00011011  0.25002  0.50003  0.75003  0.75003190187286  0.5024
00011101  0.250002  0.50001  0.25003190187286  0.5024
00011110000886163135  0.1396
001000020  5.000011  2.750014  3.500018  4.500028760021745  4.5290
001000111  2.75006  1.500010  2.50007  1.750010150595910  1.5985
00100104  1.00006  1.50008  2.00005  1.250010150595910  1.5985
00100111  0.250002  0.500003190187286  0.5024
001010015  3.75004  1.000010  2.50006  1.500010150595910  1.5985
00101011  0.250003  0.75002  0.50003190187286  0.5024
00101105  1.25002  0.50002  0.500003190187286  0.5024
00101111  0.2500000886163135  0.1396
00110007  1.75005  1.25005  1.25006  1.500010150595910  1.5985
00110011  0.25001  0.25002  0.500003190187286  0.5024
00110101  0.25002  0.50002  0.50001  0.25003190187286  0.5024
00110112  0.5000000886163135  0.1396
00111001  0.25001  0.25002  0.500003190187286  0.5024
001110102  0.500003  0.7500886163135  0.1396
00111101  0.2500000886163135  0.1396
001111101  0.25001  0.25000215553195  0.0339
010000019  4.750017  4.250019  4.750012  3.000028760021745  4.5290
01000013  0.75003  0.750014  3.50006  1.500010150595910  1.5985
01000106  1.50006  1.50001  0.25006  1.500010150595910  1.5985
01000111  0.25004  1.00002  0.50003  0.75003190187286  0.5024
01001005  1.25006  1.50004  1.00008  2.000010150595910  1.5985
01001012  0.50001  0.25002  0.50001  0.25003190187286  0.5024
01001103  0.75002  0.50001  0.25002  0.50003190187286  0.5024
010011101  0.25001  0.25000886163135  0.1396
01010004  1.000011  2.75006  1.50009  2.250010150595910  1.5985
01010015  1.25002  0.500001  0.25003190187286  0.5024
01010102  0.50002  0.50001  0.25003  0.75003190187286  0.5024
010101102  0.500000886163135  0.1396
01011002  0.50004  1.00002  0.50002  0.50003190187286  0.5024
01011011  0.250001  0.25003  0.7500886163135  0.1396
01011100000886163135  0.1396
01011110000215553195  0.0339
01100008  2.000010  2.50006  1.50003  0.750010150595910  1.5985
01100011  0.25002  0.50004  1.00001  0.25003190187286  0.5024
01100101  0.25005  1.25003  0.75002  0.50003190187286  0.5024
01100110000886163135  0.1396
01101003  0.750003  0.75005  1.25003190187286  0.5024
0110101001  0.25000886163135  0.1396
01101101  0.2500001  0.2500886163135  0.1396
0110111001  0.25000215553195  0.0339
01110003  0.75002  0.500003  0.75003190187286  0.5024
011100101  0.25001  0.25000886163135  0.1396
01110100001  0.2500886163135  0.1396
0111011001  0.25000215553195  0.0339
011110001  0.25001  0.25002  0.5000886163135  0.1396
0111101001  0.25000215553195  0.0339
0111110001  0.25001  0.2500215553195  0.0339
0111111000045379620  0.0071
100000018  4.500018  4.500017  4.250024  6.000028760021745  4.5290
10000015  1.25005  1.25005  1.25005  1.250010150595910  1.5985
10000107  1.750016  4.00002  0.50002  0.500010150595910  1.5985
10000114  1.00003  0.75001  0.25003  0.75003190187286  0.5024
10001006  1.50002  0.500010  2.50001  0.250010150595910  1.5985
10001011  0.25002  0.50001  0.25004  1.00003190187286  0.5024
10001101  0.25004  1.00002  0.50005  1.25003190187286  0.5024
10001111  0.250001  0.25002  0.5000886163135  0.1396
10010005  1.25003  0.75006  1.50009  2.250010150595910  1.5985
10010013  0.75001  0.25004  1.00003  0.75003190187286  0.5024
10010102  0.50003  0.75002  0.500003190187286  0.5024
1001011003  0.75000886163135  0.1396
10011004  1.00003  0.75001  0.25002  0.50003190187286  0.5024
1001101002  0.50000886163135  0.1396
10011101  0.25001  0.25001  0.25000886163135  0.1396
10011110000215553195  0.0339
10100009  2.25005  1.25008  2.00008  2.000010150595910  1.5985
101000102  0.50001  0.25003  0.75003190187286  0.5024
10100101  0.25002  0.50004  1.00001  0.25003190187286  0.5024
10100112  0.5000000886163135  0.1396
10101003  0.75003  0.75001  0.25001  0.25003190187286  0.5024
10101011  0.2500000886163135  0.1396
10101102  0.500001  0.25000886163135  0.1396
10101110000215553195  0.0339
101100001  0.25002  0.50003  0.75003190187286  0.5024
10110011  0.2500000886163135  0.1396
10110100001  0.2500886163135  0.1396
10110110000215553195  0.0339
10111000000886163135  0.1396
10111010000215553195  0.0339
10111100000215553195  0.0339
10111110001  0.250045379620  0.0071
11000006  1.50007  1.75006  1.50006  1.500010150595910  1.5985
11000011  0.25003  0.75001  0.25002  0.50003190187286  0.5024
11000101  0.25002  0.50003  0.75001  0.25003190187286  0.5024
1100011002  0.50001  0.2500886163135  0.1396
110010001  0.25001  0.25001  0.25003190187286  0.5024
110010101  0.250002  0.5000886163135  0.1396
11001100001  0.2500886163135  0.1396
110011101  0.250000215553195  0.0339
110100002  0.50001  0.25003  0.75003190187286  0.5024
11010011  0.2500001  0.2500886163135  0.1396
11010101  0.25002  0.500000886163135  0.1396
11010110001  0.2500215553195  0.0339
110110001  0.25001  0.25000886163135  0.1396
11011010000215553195  0.0339
11011100000215553195  0.0339
1101111000045379620  0.0071
11100005  1.25001  0.25003  0.75003  0.75003190187286  0.5024
11100010000886163135  0.1396
11100103  0.75001  0.250001  0.2500886163135  0.1396
11100110000215553195  0.0339
11101004  1.000001  0.25001  0.2500886163135  0.1396
11101010000215553195  0.0339
11101100000215553195  0.0339
1110111000045379620  0.0071
11110002  0.50005  1.250001  0.2500886163135  0.1396
11110010001  0.2500215553195  0.0339
11110100000215553195  0.0339
1111011000045379620  0.0071
11111000000215553195  0.0339
1111101000045379620  0.0071
1111110000045379620  0.0071
111111100008145060  0.0013
U = 128400 32.1375400 31.9400400 30.6425400 32.2800635013559600 31.7500

TopMain

Diamond quality map = dq

Diamond Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
000000045 11.250039  9.750055 13.750044 11.000073006209045 11.4968
000000116  4.000019  4.750019  4.750020  5.000028760021745  4.5290
000001012  3.000020  5.000017  4.250013  3.250028760021745  4.5290
00000117  1.75004  1.000011  2.75003  0.750010150595910  1.5985
000010018  4.500014  3.500017  4.250020  5.000028760021745  4.5290
00001019  2.25009  2.25007  1.75005  1.250010150595910  1.5985
00001108  2.000010  2.50005  1.250010  2.500010150595910  1.5985
00001114  1.00003  0.75002  0.50002  0.50003190187286  0.5024
000100014  3.500013  3.250014  3.500021  5.250028760021745  4.5290
00010019  2.25006  1.50006  1.50005  1.250010150595910  1.5985
00010109  2.250011  2.75003  0.75006  1.500010150595910  1.5985
00010113  0.75007  1.75001  0.25001  0.25003190187286  0.5024
00011008  2.00005  1.25003  0.75005  1.250010150595910  1.5985
00011011  0.25001  0.25001  0.25002  0.50003190187286  0.5024
00011101  0.25001  0.25002  0.50002  0.50003190187286  0.5024
0001111002  0.50000886163135  0.1396
001000022  5.500016  4.000019  4.750022  5.500028760021745  4.5290
00100016  1.50006  1.50008  2.00003  0.750010150595910  1.5985
00100104  1.00009  2.25002  0.500012  3.000010150595910  1.5985
00100113  0.75002  0.50005  1.25002  0.50003190187286  0.5024
00101003  0.75008  2.00008  2.00006  1.500010150595910  1.5985
00101012  0.50001  0.25003  0.75003  0.75003190187286  0.5024
00101101  0.25003  0.75002  0.50002  0.50003190187286  0.5024
00101111  0.250002  0.50002  0.5000886163135  0.1396
00110006  1.50006  1.50004  1.00005  1.250010150595910  1.5985
00110012  0.5000001  0.25003190187286  0.5024
00110102  0.50005  1.25001  0.25005  1.25003190187286  0.5024
001101101  0.250001  0.2500886163135  0.1396
00111002  0.50002  0.500001  0.25003190187286  0.5024
001110101  0.250001  0.2500886163135  0.1396
00111101  0.25002  0.500000886163135  0.1396
0011111001  0.25000215553195  0.0339
010000021  5.250025  6.250016  4.000019  4.750028760021745  4.5290
01000014  1.00004  1.00006  1.50004  1.000010150595910  1.5985
01000107  1.75006  1.50002  0.50005  1.250010150595910  1.5985
01000111  0.2500001  0.25003190187286  0.5024
01001005  1.25006  1.50007  1.75007  1.750010150595910  1.5985
01001013  0.75003  0.75001  0.250003190187286  0.5024
01001102  0.500001  0.25001  0.25003190187286  0.5024
010011101  0.250001  0.2500886163135  0.1396
01010007  1.75009  2.25009  2.25008  2.000010150595910  1.5985
01010012  0.50001  0.25005  1.25002  0.50003190187286  0.5024
01010104  1.00005  1.25003  0.75004  1.00003190187286  0.5024
010101101  0.25001  0.25001  0.2500886163135  0.1396
01011005  1.25003  0.75003  0.75002  0.50003190187286  0.5024
0101101001  0.25000886163135  0.1396
010111001  0.250002  0.5000886163135  0.1396
01011110000215553195  0.0339
01100006  1.500012  3.00008  2.00003  0.750010150595910  1.5985
01100011  0.25003  0.75002  0.50002  0.50003190187286  0.5024
011001002  0.500001  0.25003190187286  0.5024
0110011001  0.25000886163135  0.1396
01101002  0.5000001  0.25003190187286  0.5024
01101011  0.25001  0.25001  0.25001  0.2500886163135  0.1396
0110110001  0.25002  0.5000886163135  0.1396
01101111  0.25001  0.250000215553195  0.0339
01110006  1.50003  0.75001  0.25003  0.75003190187286  0.5024
01110011  0.250001  0.25001  0.2500886163135  0.1396
0111010001  0.25000886163135  0.1396
01110110001  0.2500215553195  0.0339
01111001  0.25002  0.500000886163135  0.1396
01111010000215553195  0.0339
01111100000215553195  0.0339
0111111000045379620  0.0071
100000024  6.000016  4.000025  6.250022  5.500028760021745  4.5290
10000017  1.75003  0.75006  1.50007  1.750010150595910  1.5985
10000104  1.00004  1.00008  2.00004  1.000010150595910  1.5985
10000111  0.25004  1.00003  0.75004  1.00003190187286  0.5024
10001004  1.00007  1.75007  1.75007  1.750010150595910  1.5985
10001012  0.50001  0.250003  0.75003190187286  0.5024
10001103  0.75001  0.25003  0.75001  0.25003190187286  0.5024
10001111  0.25002  0.50002  0.50000886163135  0.1396
10010005  1.25006  1.50006  1.50004  1.000010150595910  1.5985
10010013  0.75002  0.50002  0.50003  0.75003190187286  0.5024
10010102  0.50002  0.50001  0.25002  0.50003190187286  0.5024
10010111  0.2500002  0.5000886163135  0.1396
10011001  0.25002  0.50002  0.50001  0.25003190187286  0.5024
1001101002  0.50001  0.2500886163135  0.1396
100111002  0.500001  0.2500886163135  0.1396
10011110000215553195  0.0339
101000014  3.50004  1.00004  1.00008  2.000010150595910  1.5985
10100011  0.250001  0.25003  0.75003190187286  0.5024
10100103  0.75002  0.50001  0.25003  0.75003190187286  0.5024
10100110002  0.5000886163135  0.1396
10101001  0.25002  0.50002  0.50002  0.50003190187286  0.5024
10101011  0.250002  0.50001  0.2500886163135  0.1396
10101100000886163135  0.1396
101011102  0.500001  0.2500215553195  0.0339
101100002  0.50001  0.25004  1.00003190187286  0.5024
10110011  0.250001  0.25000886163135  0.1396
1011010001  0.25001  0.2500886163135  0.1396
10110111  0.2500000215553195  0.0339
1011100001  0.25000886163135  0.1396
10111010000215553195  0.0339
10111100000215553195  0.0339
1011111000045379620  0.0071
11000004  1.00004  1.00007  1.75009  2.250010150595910  1.5985
11000013  0.75002  0.50003  0.75001  0.25003190187286  0.5024
110001004  1.00002  0.500003190187286  0.5024
1100011001  0.25000886163135  0.1396
11001005  1.250003  0.75001  0.25003190187286  0.5024
1100101003  0.75000886163135  0.1396
11001101  0.25001  0.250000886163135  0.1396
11001110000215553195  0.0339
11010002  0.50002  0.50004  1.00002  0.50003190187286  0.5024
110100102  0.500000886163135  0.1396
11010101  0.2500000886163135  0.1396
11010111  0.2500000215553195  0.0339
110110001  0.25002  0.50002  0.5000886163135  0.1396
11011010000215553195  0.0339
11011100000215553195  0.0339
1101111000045379620  0.0071
11100002  0.50003  0.75001  0.250003190187286  0.5024
111000101  0.250000886163135  0.1396
1110010001  0.25000886163135  0.1396
11100110000215553195  0.0339
11101001  0.25002  0.500001  0.2500886163135  0.1396
11101010000215553195  0.0339
111011001  0.250000215553195  0.0339
1110111000045379620  0.0071
11110001  0.250001  0.25000886163135  0.1396
11110010000215553195  0.0339
11110100000215553195  0.0339
1111011000045379620  0.0071
11111000000215553195  0.0339
1111101000045379620  0.0071
1111110000045379620  0.0071
111111100008145060  0.0013
U = 128400 31.9900400 31.0750400 32.3375400 31.5975635013559600 31.7500

TopMain

Club quality map = cq

Club Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
000000046 11.500041 10.250032  8.000058 14.500073006209045 11.4968
000000122  5.500021  5.250013  3.250015  3.750028760021745  4.5290
000001022  5.500012  3.000017  4.250010  2.500028760021745  4.5290
000001111  2.750010  2.50007  1.75004  1.000010150595910  1.5985
000010015  3.750020  5.000022  5.500019  4.750028760021745  4.5290
00001015  1.250010  2.50004  1.00009  2.250010150595910  1.5985
00001107  1.75003  0.75006  1.50003  0.750010150595910  1.5985
00001111  0.25003  0.75004  1.00001  0.25003190187286  0.5024
000100017  4.250016  4.000018  4.500014  3.500028760021745  4.5290
00010012  0.500013  3.25003  0.750012  3.000010150595910  1.5985
000101013  3.25006  1.50008  2.00005  1.250010150595910  1.5985
00010113  0.750002  0.50001  0.25003190187286  0.5024
00011003  0.75004  1.00008  2.00005  1.250010150595910  1.5985
00011013  0.75002  0.500001  0.25003190187286  0.5024
00011101  0.25002  0.50003  0.75002  0.50003190187286  0.5024
000111102  0.50001  0.25001  0.2500886163135  0.1396
001000021  5.250026  6.500019  4.750016  4.000028760021745  4.5290
00100016  1.50005  1.25007  1.75002  0.500010150595910  1.5985
00100104  1.00004  1.00007  1.75008  2.000010150595910  1.5985
00100112  0.50002  0.50001  0.250003190187286  0.5024
00101005  1.25009  2.250011  2.75006  1.500010150595910  1.5985
00101011  0.25004  1.00001  0.25001  0.25003190187286  0.5024
00101101  0.25005  1.250003  0.75003190187286  0.5024
00101112  0.500001  0.25001  0.2500886163135  0.1396
00110009  2.25007  1.75005  1.25004  1.000010150595910  1.5985
00110012  0.50003  0.75005  1.25001  0.25003190187286  0.5024
00110102  0.50001  0.25004  1.00004  1.00003190187286  0.5024
0011011002  0.50001  0.2500886163135  0.1396
00111001  0.25002  0.500002  0.50003190187286  0.5024
00111010001  0.2500886163135  0.1396
00111101  0.25001  0.25002  0.50000886163135  0.1396
00111110000215553195  0.0339
010000019  4.750020  5.000026  6.500018  4.500028760021745  4.5290
01000013  0.75003  0.75006  1.50005  1.250010150595910  1.5985
01000106  1.50007  1.75006  1.50007  1.750010150595910  1.5985
010001102  0.50003  0.75002  0.50003190187286  0.5024
01001008  2.00008  2.00007  1.75006  1.500010150595910  1.5985
01001013  0.75002  0.50004  1.00004  1.00003190187286  0.5024
01001101  0.25002  0.50004  1.00001  0.25003190187286  0.5024
01001111  0.250001  0.25000886163135  0.1396
01010006  1.50008  2.00004  1.00009  2.250010150595910  1.5985
01010014  1.00003  0.75001  0.25002  0.50003190187286  0.5024
01010103  0.75002  0.50004  1.00002  0.50003190187286  0.5024
010101101  0.250001  0.2500886163135  0.1396
01011003  0.75001  0.25002  0.50001  0.25003190187286  0.5024
01011011  0.250001  0.25002  0.5000886163135  0.1396
01011101  0.25001  0.25002  0.50000886163135  0.1396
01011110000215553195  0.0339
01100006  1.50004  1.00005  1.25007  1.750010150595910  1.5985
01100012  0.50003  0.75001  0.25002  0.50003190187286  0.5024
01100102  0.50002  0.50001  0.250003190187286  0.5024
01100112  0.500001  0.25000886163135  0.1396
01101005  1.25003  0.75002  0.50001  0.25003190187286  0.5024
01101010000886163135  0.1396
0110110001  0.25001  0.2500886163135  0.1396
01101110000215553195  0.0339
01110002  0.500002  0.50001  0.25003190187286  0.5024
01110011  0.25001  0.250000886163135  0.1396
01110102  0.5000000886163135  0.1396
01110110000215553195  0.0339
011110001  0.25001  0.25001  0.2500886163135  0.1396
01111010001  0.2500215553195  0.0339
01111100000215553195  0.0339
0111111001  0.2500045379620  0.0071
100000026  6.500022  5.500017  4.250020  5.000028760021745  4.5290
10000012  0.500014  3.50008  2.00009  2.250010150595910  1.5985
10000105  1.25004  1.00005  1.250010  2.500010150595910  1.5985
10000111  0.25002  0.50002  0.50003  0.75003190187286  0.5024
10001004  1.00005  1.25003  0.75006  1.500010150595910  1.5985
10001015  1.2500001  0.25003190187286  0.5024
10001101  0.25003  0.75003  0.75003  0.75003190187286  0.5024
1000111002  0.50001  0.2500886163135  0.1396
10010004  1.00005  1.25005  1.25007  1.750010150595910  1.5985
10010013  0.750002  0.50002  0.50003190187286  0.5024
10010102  0.50001  0.25004  1.00001  0.25003190187286  0.5024
10010111  0.2500000886163135  0.1396
10011003  0.75001  0.25001  0.25002  0.50003190187286  0.5024
10011011  0.25001  0.25001  0.25001  0.2500886163135  0.1396
100111001  0.25001  0.25002  0.5000886163135  0.1396
10011110001  0.2500215553195  0.0339
10100004  1.00002  0.50007  1.750015  3.750010150595910  1.5985
10100011  0.25003  0.750001  0.25003190187286  0.5024
10100103  0.75003  0.75002  0.50001  0.25003190187286  0.5024
10100112  0.5000000886163135  0.1396
1010100001  0.25004  1.00003190187286  0.5024
10101011  0.25001  0.250001  0.2500886163135  0.1396
1010110001  0.25001  0.2500886163135  0.1396
10101110000215553195  0.0339
10110001  0.25002  0.50006  1.50002  0.50003190187286  0.5024
101100102  0.50001  0.25001  0.2500886163135  0.1396
101101002  0.500000886163135  0.1396
10110110000215553195  0.0339
10111001  0.2500001  0.2500886163135  0.1396
101110101  0.250001  0.2500215553195  0.0339
10111100000215553195  0.0339
1011111000045379620  0.0071
11000005  1.25004  1.00007  1.75005  1.250010150595910  1.5985
11000011  0.250002  0.50001  0.25003190187286  0.5024
11000107  1.75001  0.25002  0.50003  0.75003190187286  0.5024
1100011001  0.25000886163135  0.1396
1100100001  0.25005  1.25003190187286  0.5024
11001010000886163135  0.1396
11001102  0.50001  0.25001  0.25000886163135  0.1396
1100111002  0.50000215553195  0.0339
11010002  0.50002  0.50003  0.75002  0.50003190187286  0.5024
11010011  0.250001  0.25000886163135  0.1396
11010101  0.25001  0.250001  0.2500886163135  0.1396
11010110000215553195  0.0339
110110001  0.250000886163135  0.1396
11011010000215553195  0.0339
11011100000215553195  0.0339
1101111000045379620  0.0071
11100001  0.25004  1.00004  1.00002  0.50003190187286  0.5024
111000101  0.25003  0.75000886163135  0.1396
11100100000886163135  0.1396
11100110000215553195  0.0339
111010001  0.25001  0.25000886163135  0.1396
111010101  0.250000215553195  0.0339
11101100000215553195  0.0339
1110111000045379620  0.0071
11110000000886163135  0.1396
11110010000215553195  0.0339
11110100000215553195  0.0339
1111011000045379620  0.0071
1111100001  0.25000215553195  0.0339
1111101000045379620  0.0071
1111110000045379620  0.0071
111111100008145060  0.0013
U = 128400 30.0350400 29.9250400 33.6325400 33.4075635013559600 31.7500

TopMain

Spade x-card map = sx

Spade Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
00000068 17.000069 17.250064 16.000063 15.7500101766230790 16.0258
00000121  5.250018  4.500021  5.250028  7.000038910617655  6.1275
00001021  5.250019  4.750019  4.750030  7.500038910617655  6.1275
0000113  0.75008  2.000010  2.500010  2.500013340783196  2.1009
00010046 11.500024  6.000023  5.750015  3.750038910617655  6.1275
00010113  3.25007  1.750010  2.50008  2.000013340783196  2.1009
0001107  1.75003  0.750011  2.750010  2.500013340783196  2.1009
0001112  0.50002  0.50001  0.25005  1.25004076350421  0.6419
00100021  5.250022  5.500019  4.750021  5.250038910617655  6.1275
0010016  1.500012  3.00006  1.50009  2.250013340783196  2.1009
00101010  2.500010  2.500012  3.00007  1.750013340783196  2.1009
0010114  1.00002  0.50002  0.50004  1.00004076350421  0.6419
00110015  3.750010  2.50007  1.75003  0.750013340783196  2.1009
0011013  0.75002  0.50002  0.500004076350421  0.6419
0011104  1.00003  0.75002  0.50002  0.50004076350421  0.6419
0011111  0.250002  0.50001  0.25001101716330  0.1735
01000025  6.250026  6.500029  7.250027  6.750038910617655  6.1275
0100017  1.750012  3.00005  1.25008  2.000013340783196  2.1009
0100109  2.25006  1.500011  2.75008  2.000013340783196  2.1009
0100114  1.00001  0.25002  0.50005  1.25004076350421  0.6419
0101006  1.50009  2.250010  2.50005  1.250013340783196  2.1009
0101012  0.50002  0.50006  1.50003  0.75004076350421  0.6419
0101104  1.000001  0.25003  0.75004076350421  0.6419
01011102  0.50001  0.25002  0.50001101716330  0.1735
0110007  1.75009  2.250014  3.50008  2.000013340783196  2.1009
01100103  0.75005  1.25003  0.75004076350421  0.6419
0110101  0.25004  1.00002  0.50007  1.75004076350421  0.6419
01101101  0.25003  0.750001101716330  0.1735
01110001  0.25001  0.25001  0.25004076350421  0.6419
011101001  0.25001  0.25001101716330  0.1735
0111100003  0.75001101716330  0.1735
0111111  0.2500000260932815  0.0411
10000026  6.500036  9.000024  6.000023  5.750038910617655  6.1275
10000111  2.75006  1.50007  1.75004  1.000013340783196  2.1009
1000106  1.500010  2.50009  2.25007  1.750013340783196  2.1009
1000112  0.50001  0.25004  1.00004  1.00004076350421  0.6419
1001007  1.750010  2.500010  2.50009  2.250013340783196  2.1009
1001012  0.50001  0.25004  1.00007  1.75004076350421  0.6419
1001101  0.25002  0.50001  0.250004076350421  0.6419
1001111  0.25001  0.250002  0.50001101716330  0.1735
10100010  2.50009  2.25008  2.00005  1.250013340783196  2.1009
1010012  0.50002  0.50003  0.75003  0.75004076350421  0.6419
1010101  0.25006  1.50004  1.00006  1.50004076350421  0.6419
10101101  0.25001  0.25001  0.25001101716330  0.1735
10110002  0.50003  0.75004  1.00004076350421  0.6419
10110101  0.25002  0.50001  0.25001101716330  0.1735
1011101  0.25001  0.250001  0.25001101716330  0.1735
1011110001  0.2500260932815  0.0411
1100003  0.75008  2.00008  2.00009  2.250013340783196  2.1009
1100013  0.75003  0.75001  0.25005  1.25004076350421  0.6419
1100101  0.25002  0.50003  0.75001  0.25004076350421  0.6419
1100111  0.250001  0.250001101716330  0.1735
1101003  0.75002  0.500002  0.50004076350421  0.6419
1101012  0.5000001  0.25001101716330  0.1735
1101101  0.250001  0.250001101716330  0.1735
1101111  0.2500000260932815  0.0411
1110003  0.75003  0.75002  0.50003  0.75004076350421  0.6419
111001001  0.25001  0.25001101716330  0.1735
1110101  0.25002  0.5000001101716330  0.1735
11101102  0.500000260932815  0.0411
11110002  0.50001  0.250001101716330  0.1735
1111010000260932815  0.0411
1111100000260932815  0.0411
111111000053524680  0.0084
U = 64400 14.2400400 16.7800400 16.0275400 15.9525635013559600 15.7500

TopMain

Heart x-card map = hx

Heart Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
00000054 13.500060 15.000064 16.000063 15.7500101766230790 16.0258
00000125  6.250029  7.250030  7.500022  5.500038910617655  6.1275
00001026  6.500030  7.500023  5.750032  8.000038910617655  6.1275
0000117  1.750013  3.25008  2.000011  2.750013340783196  2.1009
00010022  5.500018  4.500016  4.000033  8.250038910617655  6.1275
00010112  3.000013  3.25006  1.50004  1.000013340783196  2.1009
0001108  2.000011  2.75004  1.00007  1.750013340783196  2.1009
0001115  1.250001  0.25003  0.75004076350421  0.6419
00100022  5.500022  5.500025  6.250023  5.750038910617655  6.1275
00100112  3.00005  1.25007  1.75008  2.000013340783196  2.1009
0010106  1.50008  2.00005  1.25007  1.750013340783196  2.1009
0010111  0.25004  1.00003  0.75003  0.75004076350421  0.6419
0011009  2.250011  2.750012  3.00004  1.000013340783196  2.1009
0011014  1.000004  1.00004  1.00004076350421  0.6419
0011104  1.00001  0.25004  1.00006  1.50004076350421  0.6419
00111101  0.25001  0.25002  0.50001101716330  0.1735
01000022  5.500021  5.250030  7.500025  6.250038910617655  6.1275
0100019  2.25006  1.50005  1.25006  1.500013340783196  2.1009
0100108  2.000010  2.500010  2.50008  2.000013340783196  2.1009
0100114  1.00002  0.50001  0.25001  0.25004076350421  0.6419
0101009  2.25008  2.000010  2.50007  1.750013340783196  2.1009
0101014  1.00003  0.75003  0.75003  0.75004076350421  0.6419
0101101  0.25005  1.25004  1.00002  0.50004076350421  0.6419
0101111  0.250001  0.25001  0.25001101716330  0.1735
01100013  3.25007  1.75006  1.50001  0.250013340783196  2.1009
0110014  1.00005  1.25004  1.00003  0.75004076350421  0.6419
01101004  1.00004  1.00004  1.00004076350421  0.6419
011011001  0.25001  0.25001101716330  0.1735
0111005  1.25003  0.75006  1.50003  0.75004076350421  0.6419
01110101  0.25002  0.50001  0.25001101716330  0.1735
01111002  0.500001  0.25001101716330  0.1735
011111001  0.25000260932815  0.0411
10000029  7.250028  7.000031  7.750030  7.500038910617655  6.1275
1000019  2.25004  1.00006  1.50007  1.750013340783196  2.1009
1000107  1.750010  2.50007  1.750010  2.500013340783196  2.1009
1000114  1.00001  0.25001  0.25003  0.75004076350421  0.6419
1001009  2.25004  1.000014  3.50009  2.250013340783196  2.1009
1001013  0.75001  0.25002  0.50003  0.75004076350421  0.6419
10011001  0.25002  0.50001  0.25004076350421  0.6419
1001110001  0.25001101716330  0.1735
10100014  3.500010  2.50006  1.50008  2.000013340783196  2.1009
1010014  1.00002  0.500002  0.50004076350421  0.6419
1010103  0.75002  0.500003  0.75004076350421  0.6419
10101101  0.25001  0.25001  0.25001101716330  0.1735
1011001  0.25002  0.50004  1.00002  0.50004076350421  0.6419
1011011  0.25003  0.75003  0.750001101716330  0.1735
101110001  0.25001  0.25001101716330  0.1735
1011110000260932815  0.0411
1100008  2.000018  4.500010  2.50007  1.750013340783196  2.1009
11000103  0.75001  0.25002  0.50004076350421  0.6419
1100103  0.75003  0.75001  0.25002  0.50004076350421  0.6419
1100111  0.2500001  0.25001101716330  0.1735
1101001  0.25001  0.25001  0.25004  1.00004076350421  0.6419
1101012  0.500001  0.25002  0.50001101716330  0.1735
1101100001  0.25001101716330  0.1735
1101110000260932815  0.0411
1110001  0.25001  0.25005  1.25001  0.25004076350421  0.6419
1110011  0.25000001101716330  0.1735
1110102  0.50001  0.2500001101716330  0.1735
11101101  0.250000260932815  0.0411
11110000001101716330  0.1735
111101001  0.25000260932815  0.0411
111110001  0.25000260932815  0.0411
111111000053524680  0.0084
U = 64400 16.0875400 15.5900400 16.1300400 15.1925635013559600 15.7500

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Diamond x-card map = dx

Diamond Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
00000061 15.250058 14.500073 18.250062 15.5000101766230790 16.0258
00000126  6.500031  7.750026  6.500026  6.500038910617655  6.1275
00001023  5.750022  5.500030  7.500023  5.750038910617655  6.1275
00001113  3.25007  1.75005  1.25006  1.500013340783196  2.1009
00010018  4.500025  6.250033  8.250024  6.000038910617655  6.1275
0001018  2.000010  2.500014  3.500012  3.000013340783196  2.1009
0001106  1.50007  1.75006  1.50004  1.000013340783196  2.1009
0001112  0.50001  0.25001  0.25002  0.50004076350421  0.6419
00100024  6.000019  4.750025  6.250022  5.500038910617655  6.1275
0010013  0.75007  1.75009  2.250012  3.000013340783196  2.1009
00101010  2.500011  2.75007  1.75009  2.250013340783196  2.1009
0010111  0.25003  0.75003  0.75001  0.25004076350421  0.6419
0011008  2.000011  2.75006  1.500014  3.500013340783196  2.1009
0011017  1.75004  1.00002  0.50002  0.50004076350421  0.6419
0011101  0.25003  0.75002  0.50002  0.50004076350421  0.6419
001111001  0.25001  0.25001101716330  0.1735
01000036  9.000019  4.750019  4.750023  5.750038910617655  6.1275
0100017  1.75005  1.25008  2.00007  1.750013340783196  2.1009
01001014  3.50009  2.25009  2.25008  2.000013340783196  2.1009
0100112  0.50003  0.75004  1.00002  0.50004076350421  0.6419
01010010  2.50009  2.25005  1.250010  2.500013340783196  2.1009
0101017  1.75002  0.50002  0.500004076350421  0.6419
0101103  0.75006  1.50001  0.25004  1.00004076350421  0.6419
0101112  0.50002  0.5000001101716330  0.1735
01100010  2.50007  1.750010  2.50006  1.500013340783196  2.1009
0110012  0.50002  0.50002  0.50002  0.50004076350421  0.6419
0110103  0.75004  1.00001  0.25004  1.00004076350421  0.6419
0110110001  0.25001101716330  0.1735
0111002  0.50002  0.50002  0.50002  0.50004076350421  0.6419
011101001  0.25001  0.25001101716330  0.1735
01111002  0.5000001101716330  0.1735
0111111  0.2500000260932815  0.0411
10000018  4.500026  6.500029  7.250026  6.500038910617655  6.1275
1000018  2.000011  2.75004  1.00009  2.250013340783196  2.1009
1000106  1.50007  1.75007  1.750011  2.750013340783196  2.1009
1000114  1.00004  1.00005  1.250004076350421  0.6419
10010010  2.500010  2.50009  2.25005  1.250013340783196  2.1009
1001011  0.25001  0.25001  0.25005  1.25004076350421  0.6419
1001102  0.500002  0.50002  0.50004076350421  0.6419
10011101  0.2500001101716330  0.1735
1010005  1.25005  1.25007  1.75008  2.000013340783196  2.1009
1010011  0.25004  1.00005  1.25005  1.25004076350421  0.6419
1010104  1.00007  1.75003  0.75007  1.75004076350421  0.6419
10101101  0.2500001101716330  0.1735
1011002  0.50004  1.00002  0.50004  1.00004076350421  0.6419
1011012  0.50001  0.2500001101716330  0.1735
1011102  0.50002  0.5000001101716330  0.1735
1011110000260932815  0.0411
11000011  2.750010  2.50009  2.25008  2.000013340783196  2.1009
1100012  0.50003  0.75001  0.25001  0.25004076350421  0.6419
11001004  1.00003  0.75005  1.25004076350421  0.6419
1100111  0.25001  0.25001  0.25001  0.25001101716330  0.1735
1101003  0.75003  0.75001  0.25003  0.75004076350421  0.6419
11010100001101716330  0.1735
11011001  0.250001  0.25001101716330  0.1735
1101110000260932815  0.0411
1110002  0.50002  0.50002  0.50003  0.75004076350421  0.6419
1110012  0.50001  0.2500001101716330  0.1735
1110101  0.250001  0.250001101716330  0.1735
1110110001  0.2500260932815  0.0411
1111002  0.5000001  0.25001101716330  0.1735
1111010000260932815  0.0411
1111101  0.250001  0.25001  0.2500260932815  0.0411
1111110001  0.250053524680  0.0084
U = 64400 15.8450400 16.5125400 14.2225400 16.4200635013559600 15.7500

TopMain

Club x-card map = cx

Club Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
00000055 13.750058 14.500071 17.750067 16.7500101766230790 16.0258
00000120  5.000021  5.250026  6.500026  6.500038910617655  6.1275
00001019  4.750026  6.500021  5.250026  6.500038910617655  6.1275
00001110  2.500014  3.50008  2.000012  3.000013340783196  2.1009
00010030  7.500032  8.000028  7.000017  4.250038910617655  6.1275
0001018  2.00007  1.75007  1.75006  1.500013340783196  2.1009
0001107  1.750012  3.00008  2.00008  2.000013340783196  2.1009
0001112  0.50006  1.500004  1.00004076350421  0.6419
00100026  6.500021  5.250021  5.250030  7.500038910617655  6.1275
0010018  2.000013  3.25009  2.25006  1.500013340783196  2.1009
0010105  1.25008  2.00004  1.00009  2.250013340783196  2.1009
0010111  0.25003  0.750002  0.50004076350421  0.6419
00110013  3.25005  1.250010  2.50006  1.500013340783196  2.1009
0011013  0.75004  1.00003  0.75001  0.25004076350421  0.6419
0011103  0.75002  0.50003  0.75002  0.50004076350421  0.6419
00111101  0.25001  0.250001101716330  0.1735
01000026  6.500019  4.750024  6.000023  5.750038910617655  6.1275
0100014  1.000010  2.50006  1.50008  2.000013340783196  2.1009
01001010  2.50008  2.000010  2.500014  3.500013340783196  2.1009
0100113  0.75001  0.25005  1.25002  0.50004076350421  0.6419
01010013  3.25005  1.25007  1.75008  2.000013340783196  2.1009
0101013  0.75003  0.75001  0.25003  0.75004076350421  0.6419
0101103  0.75003  0.75005  1.25002  0.50004076350421  0.6419
01011102  0.500001  0.25001101716330  0.1735
01100013  3.250016  4.00006  1.50008  2.000013340783196  2.1009
0110013  0.75002  0.50004  1.00002  0.50004076350421  0.6419
0110104  1.00001  0.25002  0.50006  1.50004076350421  0.6419
01101101  0.2500001101716330  0.1735
0111004  1.00002  0.50003  0.75002  0.50004076350421  0.6419
0111011  0.250001  0.250001101716330  0.1735
01111000001101716330  0.1735
01111101  0.250001  0.2500260932815  0.0411
10000027  6.750025  6.250028  7.000027  6.750038910617655  6.1275
1000018  2.000011  2.75008  2.00008  2.000013340783196  2.1009
1000109  2.25006  1.50006  1.50009  2.250013340783196  2.1009
1000113  0.75007  1.75002  0.500004076350421  0.6419
1001007  1.750010  2.50008  2.00009  2.250013340783196  2.1009
1001013  0.75002  0.50005  1.25002  0.50004076350421  0.6419
1001104  1.00001  0.25003  0.75002  0.50004076350421  0.6419
1001111  0.250001  0.25001  0.25001101716330  0.1735
1010008  2.000010  2.500010  2.50007  1.750013340783196  2.1009
1010016  1.50004  1.00002  0.50003  0.75004076350421  0.6419
1010104  1.00001  0.25002  0.50002  0.50004076350421  0.6419
10101100001101716330  0.1735
1011002  0.50001  0.25002  0.50005  1.25004076350421  0.6419
101101001  0.250001101716330  0.1735
1011101  0.25000001101716330  0.1735
10111101  0.250000260932815  0.0411
1100009  2.25004  1.00006  1.50009  2.250013340783196  2.1009
1100012  0.50001  0.25005  1.25003  0.75004076350421  0.6419
1100102  0.500004  1.00005  1.25004076350421  0.6419
11001101  0.25001  0.250001101716330  0.1735
1101002  0.50002  0.50003  0.75001  0.25004076350421  0.6419
11010100001101716330  0.1735
1101103  0.75000001101716330  0.1735
1101110000260932815  0.0411
1110001  0.25004  1.00002  0.500004076350421  0.6419
1110011  0.25001  0.25002  0.50003  0.75001101716330  0.1735
11101001  0.25002  0.50001  0.25001101716330  0.1735
1110110000260932815  0.0411
111100002  0.500001101716330  0.1735
1111010000260932815  0.0411
1111100001  0.2500260932815  0.0411
111111001  0.2500053524680  0.0084
U = 64400 16.4850400 14.8675400 16.1425400 15.5050635013559600 15.7500

General stats for 400 deals

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© 2016 Richard Pavlicek