Stats 8H15 Main


Flannery Misfits


 by Richard Pavlicek

Statistics for 10,485,760 Deals

GeneralLengthsRanksSuitsPatternsCards

Most table cells show five values in order: Min-Max Mode Median Mean.
Mean is rounded to four places, except theoretical cell tinted green is exact.
Red tinted cell shows highest mean value in its row; blue shows lowest.

General

StatisticNorthSouthWestEastTheoretical
Hand freakness3-6 4 4 3.79161-18 4 4 4.08060-14 1 2 2.49510-14 1 2 2.49510-20 1 3 2.9829
Generic pattern3-11 5 5 4.77891-37 2 5 6.02720-34 1 2 3.26380-34 1 2 3.26320-38 1 3 4.1404
Controls A=2 K=10-7 4 4 3.79770-11 2 3 2.77060-11 2 3 2.71570-11 2 3 2.71600-12 3 3 3.0000
High-card points10-15 10 12 12.08760-30 9 9 9.39460-27 9 9 9.25950-29 9 9 9.25830-37 10 10 10.0000
Total points10-19 13 14 13.83971-32 11 11 11.11450-31 10 10 10.44830-31 10 10 10.44710-38 11 11 11.3682
Playing half-tricks9-19 12 13 12.89244-26 11 11 11.30302-26 10 10 9.88522-25 10 10 9.88442-26 10 11 10.7371
Quick half-tricks0-8 4 5 4.62930-14 2 3 3.20590-15 2 3 3.19170-14 2 3 3.19210-16 2 3 3.5563
Losing trick count3-9 7 7 6.50980-11 7 7 7.31580-12 8 8 7.96341-12 8 8 7.96400-12 8 8 7.5566
Long suit length5-5 5 5 5.00004-12 5 5 5.44024-10 5 5 4.73164-10 5 5 4.73154-13 5 5 4.9008
Short suit length0-2 1 1 1.30630-2 2 2 1.53020-3 2 2 1.82750-3 2 2 1.82740-3 2 2 1.6977
Suit controls3-21 10 11 11.42171-28 8 9 8.94700-28 7 8 8.00850-27 7 8 8.00830-28 9 9 8.9418
Suit guards2-8 6 6 5.65250-8 4 5 4.77580-8 6 5 5.08160-8 6 5 5.08100-8 6 5 5.1750

Suit controls (AKQ and/or shortness): 1st round=4, 2nd=2, 3rd=1
Suit guards (for notrump): stopper=2, half stopper=1

Stats 8H15 MainTop Flannery Misfits

Lengths

StatisticNorthSouthWestEastTheoretical
Voids0-1 0 0 0.09790-2 0 0 0.05390-2 0 0 0.03100-2 0 0 0.03090-3 0 0 0.0512
Singletons0-1 0 0 0.49790-3 0 0 0.39450-3 0 0 0.25580-2 0 0 0.25590-3 0 0 0.3202
Doubletons0-2 0 0 0.80840-3 1 1 1.12790-3 1 1 0.81010-3 1 1 0.81000-3 1 1 0.8235
Tripletons0-1 0 0 0.49790-2 1 1 0.87740-3 1 1 1.25760-3 1 1 1.25770-3 1 1 1.1453
4 card suits1-2 1 1 1.09790-2 0 0 0.57310-3 1 1 1.03680-3 1 1 1.03660-3 1 1 0.9544
5 card suits1-1 1 1 1.00000-2 0 0 0.55190-2 0 0 0.46960-2 0 0 0.46980-2 0 0 0.4988
6 card suits00-2 0 0 0.30480-2 0 0 0.11950-2 0 0 0.11950-2 0 0 0.1663
7 card suits00-1 0 0 0.09710-1 0 0 0.01790-1 0 0 0.01780-1 0 0 0.0353
8 card suits00-1 0 0 0.01750-1 0 0 0.00170-1 0 0 0.00160-1 0 0 0.0047
9 card suits00-1 0 0 0.00180-1 0 0 0.00010-1 0 0 0.00010-1 0 0 0.0004
10 card suits00-1 0 0 0.00010-1 0 0 0.00000-1 0 0 0.00000-1 0 0 0.0000
11 card suits00-1 0 0 0.0000000-1 0 0 0.0000
12 card suits00-1 0 0 0.0000000-1 0 0 0.0000
13 card suits00000-1 0 0 0.0000

0 = nonexistent; 0.0000 = exists but nearest 10,000th rounds to zero.

Stats 8H15 MainTop Flannery Misfits

Ranks

Rank NorthSouthWestEastTheoretical
Ace0-3 1 1 1.29240-4 1 1 0.91670-4 1 1 0.89540-4 1 1 0.89560-4 1 1 1.0000
King0-4 1 1 1.21300-4 1 1 0.93720-4 1 1 0.92490-4 1 1 0.92490-4 1 1 1.0000
Queen0-4 1 1 1.12450-4 1 1 0.96260-4 1 1 0.95670-4 1 1 0.95620-4 1 1 1.0000
Jack0-4 1 1 1.03020-4 1 1 0.99090-4 1 1 0.98980-4 1 1 0.98910-4 1 1 1.0000
Ten0-4 1 1 0.92660-4 1 1 1.02130-4 1 1 1.02600-4 1 1 1.02600-4 1 1 1.0000
Nine0-4 1 1 0.92650-4 1 1 1.02130-4 1 1 1.02600-4 1 1 1.02620-4 1 1 1.0000
Eight0-4 1 1 0.92700-4 1 1 1.02110-4 1 1 1.02580-4 1 1 1.02610-4 1 1 1.0000
Seven0-4 1 1 0.92670-4 1 1 1.02160-4 1 1 1.02550-4 1 1 1.02630-4 1 1 1.0000
Six0-4 1 1 0.92650-4 1 1 1.02120-4 1 1 1.02590-4 1 1 1.02640-4 1 1 1.0000
Five0-4 1 1 0.92690-4 1 1 1.02140-4 1 1 1.02600-4 1 1 1.02580-4 1 1 1.0000
Four0-4 1 1 0.92650-4 1 1 1.02150-4 1 1 1.02610-4 1 1 1.02580-4 1 1 1.0000
Three0-4 1 1 0.92640-4 1 1 1.02160-4 1 1 1.02620-4 1 1 1.02590-4 1 1 1.0000
Two0-4 1 1 0.92690-4 1 1 1.02170-4 1 1 1.02570-4 1 1 1.02580-4 1 1 1.0000

Stats 8H15 MainTop Flannery Misfits

Suits

StatisticNorthSouthWestEastTheoretical
S length4-4 4 4 4.00000-3 3 3 2.41470-9 3 3 3.29250-9 3 3 3.29280-13 10 10 3.2500
H length5-5 5 5 5.00000-2 2 2 1.64330-8 3 3 3.17890-8 3 3 3.17780-13 10 10 3.2500
D length0-4 2 2 2.00060-11 4 4 4.47040-10 3 3 3.26430-10 3 3 3.26470-13 10 10 3.2500
C length0-4 2 2 1.99940-12 4 4 4.47160-10 3 3 3.26430-10 3 3 3.26470-13 10 10 3.2500
S quality0-120 64 43 47.57110-112 0 9 21.31880-127 0 17 29.05620-127 0 17 29.05380-127 0 20 31.7500
H quality0-124 96 60 58.95710-96 0 4 13.97910-127 0 16 27.02910-127 0 16 27.03470-127 0 20 31.7500
D quality0-120 0 12 23.86190-127 0 34 41.91580-127 0 18 30.61330-127 0 18 30.60900-127 0 20 31.7500
C quality0-120 0 12 23.85640-127 0 34 41.92330-127 0 18 30.61050-127 0 18 30.60980-127 0 20 31.7500
S x-cards0-60 0 16 17.95950-56 0 6 12.08270-63 0 11 16.46970-63 0 12 16.48810-63 0 10 15.7500
H x-cards0-62 8 20 22.58540-48 0 2 8.30550-63 0 10 16.05940-63 0 10 16.04960-63 0 10 15.7500
D x-cards0-60 0 2 8.92040-63 0 18 21.97980-63 0 10 16.04190-63 0 10 16.05790-63 0 10 15.7500
C x-cards0-60 0 2 8.91330-63 0 18 21.98210-63 0 10 16.04880-63 0 10 16.05590-63 0 10 15.7500
S half-tricks2-8 4 4 4.15080-6 0 0 0.84030-18 0 2 2.46540-18 0 2 2.46570-26 0 2 2.6843
H half-tricks4-10 6 7 6.75680-4 0 0 0.43570-16 0 2 2.21000-16 0 2 2.20850-26 0 2 2.6843
D half-tricks0-8 0 0 0.99280-22 4 5 5.01210-20 0 2 2.60510-20 0 2 2.60510-26 0 2 2.6843
C half-tricks0-8 0 0 0.99200-24 4 5 5.01500-20 0 2 2.60470-20 0 2 2.60520-26 0 2 2.6843
S control0-7 4 2 2.69030-7 1 1 1.82350-7 0 1 1.92320-7 0 1 1.92300-7 1 2 2.2354
H control0-7 4 3 3.33181-7 1 1 2.39380-7 1 1 1.84560-7 1 1 1.84660-7 1 2 2.2354
D control0-7 3 3 2.69900-7 0 2 2.36460-7 1 1 2.12000-7 1 1 2.11930-7 1 2 2.2354
C control0-7 3 3 2.70060-7 0 2 2.36510-7 1 1 2.11970-7 1 1 2.11950-7 1 2 2.2354
S guard0-2 2 2 1.86380-2 0 1 0.90360-2 2 2 1.28680-2 2 2 1.28690-2 2 2 1.2938
H guard1-2 2 2 1.98420-2 0 0 0.48520-2 2 2 1.22710-2 2 2 1.22650-2 2 2 1.2938
D guard0-2 0 1 0.90250-2 2 2 1.69350-2 2 2 1.28390-2 2 2 1.28360-2 2 2 1.2938
C guard0-2 0 1 0.90200-2 2 2 1.69350-2 2 2 1.28390-2 2 2 1.28400-2 2 2 1.2938

Quality: A=64, K=32, Q=16, J=8, 10=4, 9=2, 8=1
X-cards: 7=32, 6=16, 5=8, 4=4, 3=2, 2=1
Control: 1st round=4, 2nd=2, 3rd=1
Guard: stopper=2, half stopper=1

Stats 8H15 MainTop Flannery Misfits

Generic Patterns

PatternNorthSouthWestEastTheoretical
4432011.722325.925325.921021.5512
5332016.877516.844116.863915.5168
543149.79259.374411.973011.979312.9307
542240.419914.068310.480010.469610.5797
43330013.866713.861610.5361
6322013.65914.57174.56135.6425
642107.68253.21643.22774.7021
633105.00172.61372.61463.4482
552105.19112.38992.39773.1739
4441003.08143.07892.9932
732105.46950.99890.99561.8808
643001.18840.82130.82251.3262
54409.787600.94350.93951.2433
553000.81170.60970.60800.8952
651101.38400.36000.35940.7053
652001.23260.32110.32210.6511
722202.05580.28950.28740.5130
741100.76970.17560.17520.3918
742000.67970.15630.15810.3617
733000.47820.12950.12780.2652
822100.88220.07190.07190.1924
831100.40240.04150.04050.1176
751000.24040.03470.03360.1085
832000.36290.03770.03800.1085
661000.15910.02220.02190.0723
841000.09960.01350.01270.0452
921100.09390.00420.00400.0178
931000.03850.00250.00230.0100
922000.04230.00240.00190.0082
760000.01300.00100.00110.0056
850000.00730.00060.00060.0031
A21000.00600.00020.00010.0011
940000.00260.00020.00010.0010
A11100.00250.000000.0004
A30000.00070.00000.00000.0002
B11000.0001000.0000
B20000.0001000.0000
C10000.0000000.0000
D00000000.0000

Pattern occurrence is shown by percent in order of theoretical frequency.

Stats 8H15 MainTop Flannery Misfits

Cards

Card NorthSouthWestEastTheoretical
S A39.970816.120521.952621.956025.0000
H A49.724410.333519.961319.980725.0000
D A19.768832.614923.804323.812125.0000
C A19.771532.598823.819623.810225.0000
S K37.328316.809822.932122.929725.0000
H K45.887711.109821.505621.497025.0000
D K19.049232.878924.042324.029625.0000
C K19.034432.925224.010424.030025.0000
S Q34.491417.573923.976923.957725.0000
H Q42.508411.806322.847122.838325.0000
D Q17.727133.418924.439124.414825.0000
C Q17.724633.462224.408624.404625.0000
S J31.627418.359125.011525.001925.0000
H J39.235412.487324.153424.124025.0000
D J16.083834.146324.895824.874025.0000
C J16.069334.099524.922424.908825.0000
S 1028.506019.175826.161026.157225.0000
H 1035.855513.181925.482825.479725.0000
D 1014.154734.890125.477525.477725.0000
C 1014.145634.885325.482725.486425.0000
S 928.530419.153626.157926.158125.0000
H 935.816013.184625.501125.498325.0000
D 914.166934.892325.465125.475725.0000
C 914.140034.897125.471025.491925.0000
S 828.505219.192226.145626.156925.0000
H 835.873613.157925.492125.476425.0000
D 814.161334.884225.467825.486725.0000
C 814.157434.873625.475125.493925.0000
S 728.508319.186726.122926.182125.0000
H 735.852213.189225.492425.466225.0000
D 714.159934.896725.454525.488925.0000
C 714.147534.882725.475225.494625.0000
S 628.505919.160526.163626.170025.0000
H 635.845413.178725.486725.489125.0000
D 614.159234.880425.462825.497625.0000
C 614.140234.896425.479725.483625.0000
S 528.499919.185526.160026.154625.0000
H 535.856113.177925.487325.478825.0000
D 514.159534.876125.495125.469325.0000
C 514.173134.897725.454625.474625.0000
S 428.523019.169126.175726.132125.0000
H 435.836913.170925.505725.486425.0000
D 414.157834.889625.454725.497925.0000
C 414.135034.924625.478225.462225.0000
S 328.498319.190226.142026.169625.0000
H 335.842413.179725.494725.483225.0000
D 314.154934.870425.491425.483325.0000
C 314.139934.917025.491325.451825.0000
S 228.505019.190826.148526.155825.0000
H 235.866013.174725.480825.478525.0000
D 214.159634.897525.476525.466425.0000
C 214.158834.903625.462625.474925.0000

Card location is shown by percent.

Stats 8H15 MainTop Flannery Misfits

© 2008 Richard Pavlicek