Stats 8H14 Main


Balanced 28-30 opp. Major


 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 freakness0-16 1 3 2.96630-16 1 3 2.96600-2 1 1 1.01052-13 4 4 3.96080-20 1 3 2.9829
Generic pattern0-35 1 3 4.09110-35 1 3 4.09050-2 1 1 1.01052-30 2 5 5.38800-38 1 3 4.1404
Controls A=2 K=10-5 0 0 0.55630-5 0 0 0.55606-12 10 10 10.32370-5 0 0 0.56400-12 3 3 3.0000
High-card points0-12 3 4 3.84860-12 3 4 3.846728-30 28 28 28.42300-12 3 4 3.88170-37 10 10 10.0000
Total points0-18 5 5 5.19740-16 5 5 5.195328-32 30 30 29.84551-17 5 5 5.58350-38 11 11 11.3682
Playing half-tricks2-21 6 7 7.15932-21 6 7 7.158017-24 21 21 20.62854-21 8 8 7.98472-26 10 11 10.7371
Quick half-tricks0-6 0 0 0.59970-6 0 0 0.599210-16 14 14 13.80610-6 0 0 0.62350-16 2 3 3.5563
Losing trick count2-12 10 9 9.35392-12 10 9 9.35481-5 3 3 2.88852-11 9 9 8.96050-12 8 8 7.5566
Long suit length4-11 5 5 4.89664-11 5 5 4.89674-5 4 4 4.27995-8 5 5 5.25304-13 5 5 4.9008
Short suit length0-3 2 2 1.70300-3 2 2 1.70312-3 2 2 2.26940-2 2 2 1.43750-3 2 2 1.6977
Suit controls0-22 3 3 3.81750-21 3 3 3.816016-26 23 23 23.09611-23 4 4 4.43700-28 9 9 8.9418
Suit guards0-8 4 4 3.59280-8 4 4 3.59186-8 8 8 7.97961-8 4 4 3.66650-8 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 8H14 MainTop Balanced 28-30 opp. Major

Lengths

StatisticNorthSouthWestEastTheoretical
Voids0-2 0 0 0.04820-2 0 0 0.048200-2 0 0 0.07420-3 0 0 0.0512
Singletons0-3 0 0 0.31920-3 0 0 0.318900-2 0 0 0.43220-3 0 0 0.3202
Doubletons0-3 1 1 0.82890-3 1 1 0.82940-1 1 1 0.73060-2 1 1 0.92560-3 1 1 0.8235
Tripletons0-3 1 1 1.14490-3 1 1 1.14481-3 1 2 1.81870-2 0 1 0.94140-3 1 1 1.1453
4 card suits0-3 1 1 0.95250-3 1 1 0.95250-2 2 1 1.17080-2 0 0 0.49530-3 1 1 0.9544
5 card suits0-2 0 0 0.50170-2 0 0 0.50160-1 0 0 0.27990-2 1 1 0.87820-2 0 0 0.4988
6 card suits0-2 0 0 0.16670-2 0 0 0.166800-2 0 0 0.25190-2 0 0 0.1663
7 card suits0-1 0 0 0.03370-1 0 0 0.033700-1 0 0 0.00120-1 0 0 0.0353
8 card suits0-1 0 0 0.00390-1 0 0 0.003900-1 0 0 0.00000-1 0 0 0.0047
9 card suits0-1 0 0 0.00020-1 0 0 0.0002000-1 0 0 0.0004
10 card suits0-1 0 0 0.00000-1 0 0 0.0000000-1 0 0 0.0000
11 card suits0-1 0 0 0.00000-1 0 0 0.0000000-1 0 0 0.0000
12 card suits00000-1 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 8H14 MainTop Balanced 28-30 opp. Major

Ranks

Rank NorthSouthWestEastTheoretical
Ace0-2 0 0 0.11250-2 0 0 0.11251-4 4 4 3.66080-2 0 0 0.11420-4 1 1 1.0000
King0-3 0 0 0.33120-3 0 0 0.33100-4 3 3 3.00210-3 0 0 0.33560-4 1 1 1.0000
Queen0-4 0 1 0.69720-4 0 1 0.69660-4 2 2 1.90340-4 0 1 0.70270-4 1 1 1.0000
Jack0-4 1 1 1.01030-4 1 1 1.01060-4 1 1 0.96650-4 1 1 1.01260-4 1 1 1.0000
Ten0-4 1 1 1.20550-4 1 1 1.20540-4 0 0 0.38510-4 1 1 1.20390-4 1 1 1.0000
Nine0-4 1 1 1.20510-4 1 1 1.20570-4 0 0 0.38520-4 1 1 1.20410-4 1 1 1.0000
Eight0-4 1 1 1.20590-4 1 1 1.20500-4 0 0 0.38540-4 1 1 1.20370-4 1 1 1.0000
Seven0-4 1 1 1.20600-4 1 1 1.20490-4 0 0 0.38550-4 1 1 1.20360-4 1 1 1.0000
Six0-4 1 1 1.20540-4 1 1 1.20570-4 0 0 0.38510-4 1 1 1.20390-4 1 1 1.0000
Five0-4 1 1 1.20520-4 1 1 1.20610-4 0 0 0.38500-4 1 1 1.20370-4 1 1 1.0000
Four0-4 1 1 1.20560-4 1 1 1.20520-4 0 0 0.38530-4 1 1 1.20390-4 1 1 1.0000
Three0-4 1 1 1.20520-4 1 1 1.20580-4 0 0 0.38510-4 1 1 1.20390-4 1 1 1.0000
Two0-4 1 1 1.20490-4 1 1 1.20560-4 0 0 0.38540-4 1 1 1.20410-4 1 1 1.0000

Stats 8H14 MainTop Balanced 28-30 opp. Major

Suits

StatisticNorthSouthWestEastTheoretical
S length0-10 3 3 2.97760-10 3 3 2.97822-5 3 3 3.16500-8 5 5 3.87930-13 10 10 3.2500
H length0-10 3 3 2.97820-11 3 3 2.97722-5 3 3 3.16460-8 5 5 3.88000-13 10 10 3.2500
D length0-11 3 3 3.52230-10 3 3 3.52252-5 3 3 3.33460-8 3 3 2.62060-13 10 10 3.2500
C length0-10 3 3 3.52190-10 3 3 3.52212-5 3 3 3.33580-8 3 3 2.62020-13 10 10 3.2500
S quality0-125 0 5 10.61630-126 0 5 10.61600-124 96 96 91.85250-125 0 8 13.91520-127 0 20 31.7500
H quality0-125 0 5 10.62570-125 0 5 10.61020-124 96 96 91.84220-126 0 8 13.92190-127 0 20 31.7500
D quality0-125 0 7 12.11830-126 0 7 12.12110-124 96 96 93.76750-124 0 4 8.99320-127 0 20 31.7500
C quality0-126 0 7 12.11770-126 0 7 12.11160-124 96 96 93.78090-121 0 4 8.98980-127 0 20 31.7500
S x-cards0-63 0 12 17.34150-63 0 12 17.33980-60 0 0 5.75010-63 0 19 22.56870-63 0 10 15.7500
H x-cards0-63 0 12 17.34440-63 0 12 17.33990-60 0 0 5.74750-63 0 19 22.56830-63 0 10 15.7500
D x-cards0-63 0 17 20.63480-63 0 17 20.62620-60 0 1 6.38580-63 0 9 15.35310-63 0 10 15.7500
C x-cards0-63 0 17 20.63570-63 0 17 20.62870-60 0 1 6.39000-63 0 9 15.34560-63 0 10 15.7500
S half-tricks0-19 0 0 1.44500-20 0 0 1.44610-10 4 4 4.97350-14 0 4 3.09050-26 0 2 2.6843
H half-tricks0-19 0 0 1.44660-20 0 0 1.44440-10 4 4 4.97260-15 0 4 3.09170-26 0 2 2.6843
D half-tricks0-20 0 2 2.13420-19 0 2 2.13450-10 4 5 5.34010-15 0 0 0.90140-26 0 2 2.6843
C half-tricks0-20 0 2 2.13350-20 0 2 2.13300-10 4 5 5.34220-15 0 0 0.90100-26 0 2 2.6843
S control0-7 0 1 1.09830-7 0 1 1.09790-7 7 6 5.74390-7 0 1 1.01770-7 1 2 2.2354
H control0-7 0 1 1.09890-7 0 1 1.09840-7 7 6 5.74350-7 0 1 1.01730-7 1 2 2.2354
D control0-7 0 0 0.81010-7 0 0 0.81000-7 7 6 5.80410-7 1 1 1.20080-7 1 2 2.2354
C control0-7 0 0 0.81020-7 0 0 0.80970-7 7 6 5.80450-7 1 1 1.20120-7 1 2 2.2354
S guard0-2 0 0 0.78470-2 0 0 0.78500-2 2 2 1.99410-2 2 2 1.22660-2 2 2 1.2938
H guard0-2 0 0 0.78550-2 0 0 0.78470-2 2 2 1.99400-2 2 2 1.22710-2 2 2 1.2938
D guard0-2 2 1 1.01130-2 2 1 1.01130-2 2 2 1.99570-2 0 0 0.60650-2 2 2 1.2938
C guard0-2 2 1 1.01120-2 2 1 1.01080-2 2 2 1.99570-2 0 0 0.60640-2 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 8H14 MainTop Balanced 28-30 opp. Major

Generic Patterns

PatternNorthSouthWestEastTheoretical
443221.520821.530845.0707021.5512
533215.680015.676627.988125.669315.5168
543112.973212.9698020.340712.9307
542210.758810.7651017.038210.5797
433310.447310.440226.9412010.5361
63225.74915.769608.45075.6425
64214.73014.729306.69174.7021
63313.46303.461005.03913.4482
55213.21643.210307.82763.1739
44412.97852.9694002.9932
73211.82121.8203001.8808
64301.26441.261401.80551.3262
54401.18421.188601.82721.2433
55300.85720.860602.12350.8952
65110.70150.696701.53240.7053
65200.62250.622201.39480.6511
72220.50590.5017000.5130
74110.37060.3728000.3918
74200.32940.3315000.3617
73300.24350.2409000.2652
82210.16410.1653000.1924
83110.09890.0980000.1176
75100.09850.095500.11620.1085
83200.08820.0873000.1085
66100.06720.067100.13550.0723
84100.03510.0354000.0452
92110.01130.0121000.0178
93100.00630.0066000.0100
92200.00520.0052000.0082
76000.00470.004700.00520.0056
85000.00210.002400.00230.0031
A2100.00040.0005000.0011
94000.00070.0006000.0010
A1110.00010.0002000.0004
A3000.00000.0001000.0002
B1100.00000.0000000.0000
B20000000.0000
C10000000.0000
D00000000.0000

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

Stats 8H14 MainTop Balanced 28-30 opp. Major

Cards

Card NorthSouthWestEastTheoretical
S A2.68562.683291.09213.539125.0000
H A2.69022.682891.08593.541125.0000
D A2.94022.939291.95162.169025.0000
C A2.93842.942491.95082.168425.0000
S K7.84537.843873.991410.319525.0000
H K7.84877.838773.979610.333125.0000
D K8.71228.719076.10176.467225.0000
C K8.71588.699676.14026.444425.0000
S Q16.239516.253746.170621.336225.0000
H Q16.290016.232346.158321.319425.0000
D Q18.593218.603549.006113.797225.0000
C Q18.600218.570749.009713.819325.0000
S J23.263923.271423.128730.336025.0000
H J23.241923.266823.118330.373025.0000
D J27.271127.253025.195020.280825.0000
C J27.249427.266625.208820.275225.0000
S 1027.542027.51849.124435.815325.0000
H 1027.523527.52059.126135.829825.0000
D 1032.744532.761810.135724.357925.0000
C 1032.743932.741110.127724.387325.0000
S 927.529227.52189.126935.822125.0000
H 927.495327.53059.131335.842825.0000
D 932.741532.756910.133524.368225.0000
C 932.743432.758110.123724.374825.0000
S 827.537127.52819.118835.816025.0000
H 827.572827.49669.128035.802625.0000
D 832.738532.751810.127624.382025.0000
C 832.741832.719910.166024.372225.0000
S 727.538827.51649.129235.815625.0000
H 727.531727.52489.121435.822125.0000
D 732.761132.719810.144024.375225.0000
C 732.764832.730410.152924.351925.0000
S 627.504327.52749.120135.848225.0000
H 627.532227.51829.129535.820125.0000
D 632.746832.767810.131524.353925.0000
C 632.756132.753810.127224.363025.0000
S 527.529527.52549.136835.808325.0000
H 527.519327.53609.114435.830325.0000
D 532.742932.766710.112424.378025.0000
C 532.728232.777310.136324.358325.0000
S 427.515627.53849.127635.818425.0000
H 427.552127.50479.132135.811025.0000
D 432.748132.741910.135424.374725.0000
C 432.745632.735010.135624.383725.0000
S 327.510927.56419.114635.810425.0000
H 327.521827.52819.109235.841025.0000
D 332.751632.732510.142624.373425.0000
C 332.731832.756810.143824.367625.0000
S 227.514227.52749.116135.842425.0000
H 227.501427.53859.129335.830825.0000
D 232.740232.737210.144224.378425.0000
C 232.731832.759410.155324.353625.0000

Card location is shown by percent.

Stats 8H14 MainTop Balanced 28-30 opp. Major

© 2008 Richard Pavlicek