Main     Stats 8H15 by Richard Pavlicek    

Flannery Misfits

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

  Statistic  NorthSouthWestEastTheoretical
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

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Specific Lengths

  Statistic  NorthSouthWestEastTheoretical
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 suits0-2 0 0 0.30480-2 0 0 0.11950-2 0 0 0.11950-2 0 0 0.1663
7 card suits0-1 0 0 0.09710-1 0 0 0.01790-1 0 0 0.01780-1 0 0 0.0353
8 card suits0-1 0 0 0.01750-1 0 0 0.00170-1 0 0 0.00160-1 0 0 0.0047
9 card suits0-1 0 0 0.00180-1 0 0 0.00010-1 0 0 0.00010-1 0 0 0.0004
10 card suits0-1 0 0 0.00010-1 0 0 0.00000-1 0 0 0.00000-1 0 0 0.0000
11 card suits0-1 0 0 0.00000-1 0 0 0.0000
12 card suits0-1 0 0 0.00000-1 0 0 0.0000
13 card suits0-1 0 0 0.0000

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

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Specific Ranks

  Statistic  NorthSouthWestEastTheoretical
Aces0-3 1 1 1.29240-4 1 1 0.91670-4 1 1 0.89540-4 1 1 0.89560-4 1 1 1.0000
Kings0-4 1 1 1.21300-4 1 1 0.93720-4 1 1 0.92490-4 1 1 0.92490-4 1 1 1.0000
Queens0-4 1 1 1.12450-4 1 1 0.96260-4 1 1 0.95670-4 1 1 0.95620-4 1 1 1.0000
Jacks0-4 1 1 1.03020-4 1 1 0.99090-4 1 1 0.98980-4 1 1 0.98910-4 1 1 1.0000
Tens0-4 1 1 0.92660-4 1 1 1.02130-4 1 1 1.02600-4 1 1 1.02600-4 1 1 1.0000
Nines0-4 1 1 0.92650-4 1 1 1.02130-4 1 1 1.02600-4 1 1 1.02620-4 1 1 1.0000
Eights0-4 1 1 0.92700-4 1 1 1.02110-4 1 1 1.02580-4 1 1 1.02610-4 1 1 1.0000
Sevens0-4 1 1 0.92670-4 1 1 1.02160-4 1 1 1.02550-4 1 1 1.02630-4 1 1 1.0000
Sixes0-4 1 1 0.92650-4 1 1 1.02120-4 1 1 1.02590-4 1 1 1.02640-4 1 1 1.0000
Fives0-4 1 1 0.92690-4 1 1 1.02140-4 1 1 1.02600-4 1 1 1.02580-4 1 1 1.0000
Fours0-4 1 1 0.92650-4 1 1 1.02150-4 1 1 1.02610-4 1 1 1.02580-4 1 1 1.0000
Threes0-4 1 1 0.92640-4 1 1 1.02160-4 1 1 1.02620-4 1 1 1.02590-4 1 1 1.0000
Twos0-4 1 1 0.92690-4 1 1 1.02170-4 1 1 1.02570-4 1 1 1.02580-4 1 1 1.0000

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Specific Suits

  Statistic  NorthSouthWestEastTheoretical
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

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Generic Patterns

  Statistic  NorthSouthWestEastTheoretical
4-4-3-211.722325.925325.921021.5512
5-3-3-216.877516.844116.863915.5168
5-4-3-149.79259.374411.973011.979312.9307
5-4-2-240.419914.068310.480010.469610.5797
4-3-3-313.866713.861610.5361
6-3-2-213.65914.57174.56135.6425
6-4-2-17.68253.21643.22774.7021
6-3-3-15.00172.61372.61463.4482
5-5-2-15.19112.38992.39773.1739
4-4-4-13.08143.07892.9932
7-3-2-15.46950.99890.99561.8808
6-4-3-01.18840.82130.82251.3262
5-4-4-09.78760.94350.93951.2433
5-5-3-00.81170.60970.60800.8952
6-5-1-11.38400.36000.35940.7053
6-5-2-01.23260.32110.32210.6511
7-2-2-22.05580.28950.28740.5130
7-4-1-10.76970.17560.17520.3918
7-4-2-00.67970.15630.15810.3617
7-3-3-00.47820.12950.12780.2652
8-2-2-10.88220.07190.07190.1924
8-3-1-10.40240.04150.04050.1176
7-5-1-00.24040.03470.03360.1085
8-3-2-00.36290.03770.03800.1085
6-6-1-00.15910.02220.02190.0723
8-4-1-00.09960.01350.01270.0452
9-2-1-10.09390.00420.00400.0178
9-3-1-00.03850.00250.00230.0100
9-2-2-00.04230.00240.00190.0082
7-6-0-00.01300.00100.00110.0056
8-5-0-00.00730.00060.00060.0031
10-2-1-00.00600.00020.00010.0011
9-4-0-00.00260.00020.00010.0010
10-1-1-10.00250.00000.0004
10-3-0-00.00070.00000.00000.0002
11-1-1-00.00010.0000
11-2-0-00.00010.0000
12-1-0-00.00000.0000
13-0-0-00.0000

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

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Specific Cards

  Statistic  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.

Statistics for 10,485,760 Deals

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© 2013 Richard Pavlicek