Main     Stats 8H16 by Richard Pavlicek    

Flat 10-12 opp. 11-15 Three-Suiter

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 freakness0-14 1 2 2.84900-14 1 2 2.84893-6 3 3 3.80770-20 1 3 2.9829
Generic pattern0-34 1 2 3.92020-34 1 2 3.92074-11 4 4 5.88470-38 1 3 4.1404
Controls A=2 K=10-9 2 2 2.32530-9 2 2 2.32450-6 3 3 3.31560-7 4 4 4.03460-12 3 3 3.0000
High-card points0-19 8 8 8.24780-19 8 8 8.245810-12 10 11 10.910411-15 11 12 12.59600-37 10 10 10.0000
Total points0-24 9 9 9.54030-24 9 9 9.538510-13 10 11 11.008911-19 14 15 14.65360-38 11 11 11.3682
Playing half-tricks2-24 10 9 9.57152-25 10 9 9.57046-11 8 8 8.090610-19 13 13 13.65452-26 10 11 10.7371
Quick half-tricks0-10 2 2 2.66930-10 2 2 2.66860-6 4 4 3.84620-8 5 5 4.95510-16 2 3 3.5563
Losing trick count1-12 8 8 8.12851-12 8 8 8.12917-10 9 9 8.71523-8 6 6 6.10400-12 8 8 7.5566
Long suit length4-10 5 5 4.91524-10 5 5 4.91524-4 4 4 4.00004-5 4 4 4.26924-13 5 5 4.9008
Short suit length0-3 2 2 1.76710-3 2 2 1.76693-3 3 3 3.00000-1 1 1 0.73080-3 2 2 1.6977
Suit controls0-26 7 7 7.35730-26 7 7 7.35583-12 7 8 7.70476-21 13 13 13.05690-28 9 9 8.9418
Suit guards0-8 4 5 4.74050-8 4 5 4.73942-8 6 6 6.08142-8 6 6 5.90040-8 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
Voids0-2 0 0 0.03470-2 0 0 0.03480-1 0 0 0.26920-3 0 0 0.0512
Singletons0-3 0 0 0.29040-3 0 0 0.29030-1 1 1 0.73080-3 0 0 0.3202
Doubletons0-3 1 1 0.86430-3 1 1 0.86410-3 1 1 0.8235
Tripletons0-3 1 1 1.21250-3 1 1 1.21263-3 3 3 3.00000-3 1 1 1.1453
4 card suits0-3 1 1 0.92510-3 1 1 0.92541-1 1 1 1.00002-3 3 3 2.73080-3 1 1 0.9544
5 card suits0-2 0 0 0.45390-2 0 0 0.45360-1 0 0 0.26920-2 0 0 0.4988
6 card suits0-2 0 0 0.16790-2 0 0 0.16800-2 0 0 0.1663
7 card suits0-1 0 0 0.04430-1 0 0 0.04440-1 0 0 0.0353
8 card suits0-1 0 0 0.00650-1 0 0 0.00650-1 0 0 0.0047
9 card suits0-1 0 0 0.00040-1 0 0 0.00040-1 0 0 0.0004
10 card suits0-1 0 0 0.00000-1 0 0 0.00000-1 0 0 0.0000
11 card suits0-1 0 0 0.0000
12 card suits0-1 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
Aces0-4 1 1 0.75160-4 1 1 0.75100-3 1 1 1.10430-3 1 1 1.39310-4 1 1 1.0000
Kings0-4 1 1 0.82210-4 1 1 0.82250-4 1 1 1.10700-4 1 1 1.24840-4 1 1 1.0000
Queens0-4 1 1 0.89980-4 1 1 0.89940-4 1 1 1.07340-4 1 1 1.12740-4 1 1 1.0000
Jacks0-4 1 1 0.97540-4 1 1 0.97560-4 1 1 1.02530-4 1 1 1.02370-4 1 1 1.0000
Tens0-4 1 1 1.06130-4 1 1 1.06140-4 1 1 0.96550-4 1 1 0.91180-4 1 1 1.0000
Nines0-4 1 1 1.06120-4 1 1 1.06100-4 1 1 0.96560-4 1 1 0.91220-4 1 1 1.0000
Eights0-4 1 1 1.06140-4 1 1 1.06110-4 1 1 0.96610-4 1 1 0.91150-4 1 1 1.0000
Sevens0-4 1 1 1.06110-4 1 1 1.06120-4 1 1 0.96590-4 1 1 0.91180-4 1 1 1.0000
Sixes0-4 1 1 1.06080-4 1 1 1.06180-4 1 1 0.96520-4 1 1 0.91210-4 1 1 1.0000
Fives0-4 1 1 1.06120-4 1 1 1.06140-4 1 1 0.96570-4 1 1 0.91170-4 1 1 1.0000
Fours0-4 1 1 1.06170-4 1 1 1.06100-4 1 1 0.96510-4 1 1 0.91220-4 1 1 1.0000
Threes0-4 1 1 1.06090-4 1 1 1.06170-4 1 1 0.96540-4 1 1 0.91190-4 1 1 1.0000
Twos0-4 1 1 1.06150-4 1 1 1.06100-4 1 1 0.96530-4 1 1 0.91220-4 1 1 1.0000

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Specific Suits

  Statistic  NorthSouthWestEastTheoretical
s length0-10 3 3 3.24950-10 3 3 3.24983-4 3 3 3.25010-5 4 4 3.25060-13 10 10 3.2500
h length0-10 3 3 3.25040-10 3 3 3.25003-4 3 3 3.24980-5 4 4 3.24990-13 10 10 3.2500
d length0-10 3 3 3.24970-10 3 3 3.24993-4 3 3 3.25020-5 4 4 3.25020-13 10 10 3.2500
c length0-10 3 3 3.25040-10 3 3 3.25033-4 3 3 3.24990-5 4 4 3.24930-13 10 10 3.2500
s quality0-127 0 16 26.01380-127 0 16 25.99020-120 64 32 34.56170-124 0 35 40.43430-127 0 20 31.7500
h quality0-127 0 16 26.01610-127 0 16 26.00210-120 64 32 34.56340-124 0 35 40.41840-127 0 20 31.7500
d quality0-127 0 16 25.98770-127 0 16 26.00300-120 64 32 34.56100-124 0 35 40.44830-127 0 20 31.7500
c quality0-127 0 16 26.02140-127 0 16 26.01180-120 64 32 34.55070-124 0 35 40.41610-127 0 20 31.7500
s x-cards0-63 0 12 16.71480-63 0 12 16.71310-60 0 10 15.20610-62 0 8 14.36590-63 0 10 15.7500
h x-cards0-63 0 12 16.70820-63 0 12 16.71730-60 0 10 15.21050-62 0 8 14.36390-63 0 10 15.7500
d x-cards0-63 0 12 16.71030-63 0 12 16.71130-60 0 10 15.21210-62 0 8 14.36630-63 0 10 15.7500
c x-cards0-63 0 12 16.71400-63 0 12 16.72390-60 0 10 15.20740-62 0 8 14.35460-63 0 10 15.7500
s half-tricks0-20 0 2 2.39220-20 0 2 2.39160-8 2 2 2.02330-10 4 4 3.41440-26 0 2 2.6843
h half-tricks0-20 0 2 2.39370-20 0 2 2.39260-8 2 2 2.02230-10 4 4 3.41290-26 0 2 2.6843
d half-tricks0-20 0 2 2.39150-20 0 2 2.39280-8 2 2 2.02290-10 4 4 3.41450-26 0 2 2.6843
c half-tricks0-20 0 2 2.39410-20 0 2 2.39330-8 2 2 2.02210-10 4 4 3.41270-26 0 2 2.6843
s control0-7 1 1 1.83990-7 1 1 1.83810-7 0 2 1.92630-7 3 3 3.26420-7 1 2 2.2354
h control0-7 1 1 1.83960-7 1 1 1.83900-7 0 2 1.92650-7 3 3 3.26380-7 1 2 2.2354
d control0-7 1 1 1.83790-7 1 1 1.83930-7 0 2 1.92630-7 3 3 3.26490-7 1 2 2.2354
c control0-7 1 1 1.83990-7 1 1 1.83940-7 0 2 1.92570-7 3 3 3.26400-7 1 2 2.2354
s guard0-2 2 2 1.18500-2 2 2 1.18450-2 2 2 1.52060-2 2 2 1.47540-2 2 2 1.2938
h guard0-2 2 2 1.18530-2 2 2 1.18500-2 2 2 1.52050-2 2 2 1.47500-2 2 2 1.2938
d guard0-2 2 2 1.18480-2 2 2 1.18490-2 2 2 1.52030-2 2 2 1.47520-2 2 2 1.2938
c guard0-2 2 2 1.18540-2 2 2 1.18500-2 2 2 1.52010-2 2 2 1.47480-2 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
4-4-3-222.102122.108521.5512
5-3-3-216.850116.853315.5168
5-4-3-111.210611.207812.9307
5-4-2-210.233210.235710.5797
4-3-3-311.600111.5933100.000010.5361
6-3-2-26.98196.97895.6425
6-4-2-14.33664.33404.7021
6-3-3-13.75473.75663.4482
5-5-2-12.26112.24183.1739
4-4-4-12.54962.555473.07502.9932
7-3-2-12.57662.58081.8808
6-4-3-00.96940.97701.3262
5-4-4-00.77870.778026.92501.2433
5-5-3-00.51420.51650.8952
6-5-1-10.38640.38890.7053
6-5-2-00.32530.32510.6511
7-2-2-20.80830.80550.5130
7-4-1-10.38640.38760.3918
7-4-2-00.32240.32440.3617
7-3-3-00.28590.28860.2652
8-2-2-10.30750.30700.1924
8-3-1-10.16470.16430.1176
7-5-1-00.05030.05160.1085
8-3-2-00.13840.13620.1085
6-6-1-00.01700.01740.0723
8-4-1-00.04070.04010.0452
9-2-1-10.02390.02250.0178
9-3-1-00.00960.01020.0100
9-2-2-00.01010.00940.0082
7-6-0-00.00080.00070.0056
8-5-0-00.00160.00130.0031
10-2-1-00.00060.00050.0011
9-4-0-00.00060.00060.0010
10-1-1-10.00020.00020.0004
10-3-0-00.00010.00010.0002
11-1-1-00.0000
11-2-0-00.0000
12-1-0-00.0000
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 A18.809418.759927.603334.827425.0000
H A18.794218.773727.614034.818125.0000
D A18.753118.775527.613734.857725.0000
C A18.803318.791927.598534.806325.0000
S K20.527020.565327.687231.220425.0000
H K20.563620.559027.678231.199225.0000
D K20.559020.556327.671731.213125.0000
C K20.560720.566027.667331.206125.0000
S Q22.490622.469826.838428.201125.0000
H Q22.500722.494526.835528.169425.0000
D Q22.490222.502726.831028.176225.0000
C Q22.498522.472026.838028.191525.0000
S J24.404424.374625.647525.573525.0000
H J24.370824.392425.632825.604025.0000
D J24.383324.399525.623525.593725.0000
C J24.386224.390825.625025.598025.0000
S 1026.519826.539024.138422.802725.0000
H 1026.547226.536524.124822.791525.0000
D 1026.532826.535224.149722.782325.0000
C 1026.529426.531424.138322.800825.0000
S 926.513726.548124.127122.811125.0000
H 926.526526.537324.137522.798825.0000
D 926.549026.477124.159022.814925.0000
C 926.531426.536924.139622.792025.0000
S 826.520526.527024.167322.785225.0000
H 826.527026.535324.136422.801225.0000
D 826.545826.528724.134022.791425.0000
C 826.543926.515824.168322.772025.0000
S 726.543926.520824.142422.792825.0000
H 726.511626.541824.146022.800625.0000
D 726.528726.505824.155722.809825.0000
C 726.523326.547724.149422.779625.0000
S 626.514626.544624.123822.817025.0000
H 626.519926.530324.147622.802225.0000
D 626.508826.551524.135122.804625.0000
C 626.541426.553224.118222.787225.0000
S 526.511326.523524.149022.816225.0000
H 526.541126.532424.138622.787825.0000
D 526.527926.546624.144222.781425.0000
C 526.536026.536624.141822.785625.0000
S 426.548526.530124.115922.805425.0000
H 426.546026.519924.128722.805425.0000
D 426.544226.526724.130122.798925.0000
C 426.533626.525824.130822.809825.0000
S 326.516026.540724.148422.794925.0000
H 326.533026.524224.136022.806825.0000
D 326.521526.556024.123522.799125.0000
C 326.520826.549724.135922.793625.0000
S 226.525126.540324.124022.810625.0000
H 226.557026.518124.123522.801425.0000
D 226.529626.524824.144822.800725.0000
C 226.534126.516624.140622.808725.0000

Card location is shown by percent.

Statistics for 10,485,760 Deals

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© 2013 Richard Pavlicek