Main     Stats 8H01 by Richard Pavlicek    

Solved Deal Database

Statistics for 10,485,760 Deals

GeneralLengthsRanksSuitsPatternsCardsDouble-DummyParLOTT

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 freakness0-16 1 3 2.98310-16 1 3 2.98310-16 1 3 2.98410-16 1 3 2.98300-20 1 3 2.9829
Generic pattern0-35 1 3 4.14020-35 1 3 4.14100-35 1 3 4.14340-36 1 3 4.14040-38 1 3 4.1404
Controls A=2 K=10-12 3 3 3.00050-12 3 3 2.99980-12 3 3 2.99990-12 3 3 2.99980-12 3 3 3.0000
High-card points0-33 10 10 10.00210-31 10 10 9.99890-32 10 10 9.99980-33 10 10 9.99910-37 10 10 10.0000
Total points0-36 11 11 11.37050-33 11 11 11.36710-34 11 11 11.36830-35 11 11 11.36760-38 11 11 11.3682
Playing half-tricks2-26 10 11 10.73852-26 10 11 10.73682-26 10 11 10.73792-26 10 11 10.73692-26 10 11 10.7371
Quick half-tricks0-16 2 3 3.55700-16 2 3 3.55610-16 2 3 3.55580-16 2 3 3.55590-16 2 3 3.5563
Losing trick count0-12 8 8 7.55580-12 8 8 7.55680-12 8 8 7.55610-12 8 8 7.55680-12 8 8 7.5566
Long suit length4-11 5 5 4.90094-11 5 5 4.90084-11 5 5 4.90124-11 5 5 4.90094-13 5 5 4.9008
Short suit length0-3 2 2 1.69760-3 2 2 1.69770-3 2 2 1.69730-3 2 2 1.69790-3 2 2 1.6977
Suit controls0-28 9 9 8.94300-28 9 9 8.94140-28 9 9 8.94280-28 9 9 8.94130-28 9 9 8.9418
Suit guards0-8 6 5 5.17550-8 6 5 5.17450-8 6 5 5.17500-8 6 5 5.17460-8 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

TopMain

Specific Lengths

  Statistic  NorthSouthWestEastTheoretical
Voids0-2 0 0 0.05110-2 0 0 0.05120-2 0 0 0.05130-2 0 0 0.05110-3 0 0 0.0512
Singletons0-3 0 0 0.32040-3 0 0 0.32040-3 0 0 0.32040-3 0 0 0.32010-3 0 0 0.3202
Doubletons0-3 1 1 0.82350-3 1 1 0.82320-3 1 1 0.82320-3 1 1 0.82410-3 1 1 0.8235
Tripletons0-3 1 1 1.14530-3 1 1 1.14550-3 1 1 1.14530-3 1 1 1.14490-3 1 1 1.1453
4 card suits0-3 1 1 0.95410-3 1 1 0.95440-3 1 1 0.95440-3 1 1 0.95440-3 1 1 0.9544
5 card suits0-2 0 0 0.49900-2 0 0 0.49880-2 0 0 0.49870-2 0 0 0.49890-2 0 0 0.4988
6 card suits0-2 0 0 0.16630-2 0 0 0.16620-2 0 0 0.16630-2 0 0 0.16620-2 0 0 0.1663
7 card suits0-1 0 0 0.03520-1 0 0 0.03530-1 0 0 0.03530-1 0 0 0.03530-1 0 0 0.0353
8 card suits0-1 0 0 0.00470-1 0 0 0.00470-1 0 0 0.00470-1 0 0 0.00470-1 0 0 0.0047
9 card suits0-1 0 0 0.00040-1 0 0 0.00040-1 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 0.00000-1 0 0 0.00000-1 0 0 0.0000
11 card suits0-1 0 0 0.00000-1 0 0 0.00000-1 0 0 0.00000-1 0 0 0.00000-1 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.

TopMain

Specific Ranks

  Statistic  NorthSouthWestEastTheoretical
Aces0-4 1 1 1.00010-4 1 1 0.99980-4 1 1 1.00010-4 1 1 1.00010-4 1 1 1.0000
Kings0-4 1 1 1.00040-4 1 1 1.00020-4 1 1 0.99980-4 1 1 0.99960-4 1 1 1.0000
Queens0-4 1 1 1.00030-4 1 1 0.99970-4 1 1 1.00020-4 1 1 0.99980-4 1 1 1.0000
Jacks0-4 1 1 1.00020-4 1 1 0.99980-4 1 1 0.99980-4 1 1 1.00020-4 1 1 1.0000
Tens0-4 1 1 1.00010-4 1 1 1.00000-4 1 1 0.99990-4 1 1 0.99990-4 1 1 1.0000
Nines0-4 1 1 1.00010-4 1 1 0.99980-4 1 1 1.00000-4 1 1 1.00010-4 1 1 1.0000
Eights0-4 1 1 0.99940-4 1 1 1.00020-4 1 1 1.00010-4 1 1 1.00030-4 1 1 1.0000
Sevens0-4 1 1 1.00070-4 1 1 1.00000-4 1 1 0.99980-4 1 1 0.99950-4 1 1 1.0000
Sixes0-4 1 1 1.00000-4 1 1 1.00040-4 1 1 0.99940-4 1 1 1.00020-4 1 1 1.0000
Fives0-4 1 1 0.99960-4 1 1 0.99990-4 1 1 1.00070-4 1 1 0.99980-4 1 1 1.0000
Fours0-4 1 1 0.99950-4 1 1 1.00030-4 1 1 1.00010-4 1 1 1.00010-4 1 1 1.0000
Threes0-4 1 1 0.99980-4 1 1 1.00020-4 1 1 0.99980-4 1 1 1.00020-4 1 1 1.0000
Twos0-4 1 1 1.00000-4 1 1 0.99960-4 1 1 1.00030-4 1 1 1.00010-4 1 1 1.0000

TopMain

Specific Suits

  Statistic  NorthSouthWestEastTheoretical
s length0-10 3 3 3.25040-10 3 3 3.25040-11 3 3 3.25020-11 3 3 3.24900-13 10 10 3.2500
h length0-11 3 3 3.24950-11 3 3 3.24980-10 3 3 3.25050-10 3 3 3.25030-13 10 10 3.2500
d length0-10 3 3 3.24980-11 3 3 3.24940-11 3 3 3.25020-11 3 3 3.25060-13 10 10 3.2500
c length0-10 3 3 3.25040-11 3 3 3.25040-11 3 3 3.24910-11 3 3 3.25010-13 10 10 3.2500
s quality0-127 0 20 31.74860-127 0 20 31.76070-127 0 20 31.74720-127 0 20 31.74350-127 0 20 31.7500
h quality0-127 0 20 31.74940-127 0 20 31.73710-127 0 20 31.76200-127 0 20 31.75150-127 0 20 31.7500
d quality0-127 0 20 31.75980-127 0 20 31.73440-127 0 20 31.75430-127 0 20 31.75150-127 0 20 31.7500
c quality0-127 0 20 31.76360-127 0 20 31.75450-127 0 20 31.73500-127 0 20 31.74680-127 0 20 31.7500
s x-cards0-63 0 10 15.75980-63 0 10 15.74910-63 0 10 15.74980-63 0 10 15.74130-63 0 10 15.7500
h x-cards0-63 0 10 15.74830-63 0 10 15.74970-63 0 10 15.75230-63 0 10 15.74970-63 0 10 15.7500
d x-cards0-63 0 10 15.74840-63 0 10 15.75640-63 0 10 15.74480-63 0 10 15.75050-63 0 10 15.7500
c x-cards0-63 0 10 15.75910-63 0 10 15.75130-63 0 10 15.74430-63 0 10 15.74540-63 0 10 15.7500
s half-tricks0-20 0 2 2.68490-20 0 2 2.68510-22 0 2 2.68490-20 0 2 2.68280-26 0 2 2.6843
h half-tricks0-22 0 2 2.68330-22 0 2 2.68370-20 0 2 2.68570-20 0 2 2.68430-26 0 2 2.6843
d half-tricks0-20 0 2 2.68430-22 0 2 2.68310-22 0 2 2.68490-22 0 2 2.68520-26 0 2 2.6843
c half-tricks0-20 0 2 2.68610-22 0 2 2.68500-22 0 2 2.68240-22 0 2 2.68460-26 0 2 2.6843
s control0-7 1 2 2.23500-7 1 2 2.23560-7 1 2 2.23560-7 1 2 2.23590-7 1 2 2.2354
h control0-7 1 2 2.23550-7 1 2 2.23510-7 1 2 2.23640-7 1 2 2.23500-7 1 2 2.2354
d control0-7 1 2 2.23620-7 1 2 2.23500-7 1 2 2.23570-7 1 2 2.23520-7 1 2 2.2354
c control0-7 1 2 2.23640-7 1 2 2.23570-7 1 2 2.23500-7 1 2 2.23510-7 1 2 2.2354
s guard0-2 2 2 1.29390-2 2 2 1.29400-2 2 2 1.29370-2 2 2 1.29340-2 2 2 1.2938
h guard0-2 2 2 1.29370-2 2 2 1.29330-2 2 2 1.29400-2 2 2 1.29390-2 2 2 1.2938
d guard0-2 2 2 1.29390-2 2 2 1.29340-2 2 2 1.29380-2 2 2 1.29380-2 2 2 1.2938
c guard0-2 2 2 1.29400-2 2 2 1.29370-2 2 2 1.29350-2 2 2 1.29360-2 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

TopMain

Generic Patterns

  Statistic  NorthSouthWestEastTheoretical
4-4-3-221.539321.534321.546821.553621.5512
5-3-3-215.527115.508615.507615.512615.5168
5-4-3-112.935712.934512.934112.928512.9307
5-4-2-210.590010.573210.571310.603110.5797
4-3-3-310.526510.554910.535710.531010.5361
6-3-2-25.64195.63685.64115.64565.6425
6-4-2-14.69514.69844.69654.69354.7021
6-3-3-13.45983.45053.45293.43933.4482
5-5-2-13.17443.18373.17323.17513.1739
4-4-4-12.99132.99302.99512.98582.9932
7-3-2-11.87861.87831.88371.88111.8808
6-4-3-01.32531.33061.32761.32441.3262
5-4-4-01.24201.24721.24371.24231.2433
5-5-3-00.89410.89050.89540.89220.8952
6-5-1-10.70800.70680.70500.70750.7053
6-5-2-00.65170.65050.65560.65690.6511
7-2-2-20.51040.51750.51300.51540.5130
7-4-1-10.39220.39260.39420.39390.3918
7-4-2-00.36240.36400.36300.36440.3617
7-3-3-00.26480.26330.26720.26490.2652
8-2-2-10.19270.19370.19440.19280.1924
8-3-1-10.11820.11590.11860.11810.1176
7-5-1-00.10740.10810.10830.10660.1085
8-3-2-00.10720.10840.10980.10690.1085
6-6-1-00.07170.07190.07170.07120.0723
8-4-1-00.04390.04590.04590.04650.0452
9-2-1-10.01860.01740.01840.01790.0178
9-3-1-00.00990.00980.01050.01010.0100
9-2-2-00.00860.00790.00800.00820.0082
7-6-0-00.00560.00580.00550.00540.0056
8-5-0-00.00320.00320.00340.00290.0031
10-2-1-00.00110.00110.00110.00110.0011
9-4-0-00.00080.00100.00110.00090.0010
10-1-1-10.00040.00040.00050.00040.0004
10-3-0-00.00020.00030.00020.00010.0002
11-1-1-00.00000.00000.00000.00000.0000
11-2-0-00.00000.0000
12-1-0-00.0000
13-0-0-00.0000

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

TopMain

Specific Cards

  Statistic  NorthSouthWestEastTheoretical
S A24.991425.010324.994525.003725.0000
H A24.995524.982525.020025.001925.0000
D A25.006424.980325.008525.004825.0000
C A25.012025.007624.982224.998125.0000
S K25.006525.010925.005224.977425.0000
H K25.002425.001124.992125.004525.0000
D K25.014724.998425.000724.986125.0000
C K25.012825.008024.982724.996625.0000
S Q25.001825.001424.999624.997225.0000
H Q24.999425.002825.019424.978425.0000
D Q25.014424.979424.990625.015625.0000
C Q25.015024.982725.010424.991825.0000
S J25.013625.003324.986624.996425.0000
H J25.026624.973424.985225.014825.0000
D J24.980125.014125.007124.998725.0000
C J24.999724.990825.001525.008025.0000
S 1025.015825.008024.997524.978825.0000
H 1024.988924.989425.002225.019525.0000
D 1025.013324.999524.988024.999325.0000
C 1024.990825.007025.005224.997025.0000
S 925.014324.979625.005525.000725.0000
H 925.002425.000824.989425.007425.0000
D 924.984124.994625.003825.017425.0000
C 925.005925.010024.996624.987525.0000
S 824.972825.023825.013824.989525.0000
H 824.989625.000224.992125.018125.0000
D 825.006424.983524.998625.011525.0000
C 824.972825.011925.001825.013625.0000
S 725.024324.990625.005724.979325.0000
H 725.011724.989624.992225.006425.0000
D 724.998525.020224.990924.990525.0000
C 725.033124.996924.994124.975925.0000
S 625.012725.008024.976225.003125.0000
H 624.982225.013625.009624.994625.0000
D 625.003725.009924.976025.010425.0000
C 625.001925.009924.976925.011325.0000
S 525.004125.000925.026424.968625.0000
H 524.993324.999825.032624.974325.0000
D 524.987024.985425.004325.023325.0000
C 524.970825.005225.011525.012525.0000
S 424.996325.023424.987124.993225.0000
H 424.948925.018425.010025.022725.0000
D 424.991524.997325.018524.992725.0000
C 425.009124.995724.997824.997525.0000
S 324.991625.004424.998925.005125.0000
H 324.998425.005125.015624.981025.0000
D 324.988324.980025.012525.019325.0000
C 324.998225.030524.956725.014525.0000
S 224.995324.972025.025425.007425.0000
H 225.005725.003724.988925.001825.0000
D 224.987425.000625.022024.990025.0000
C 225.016624.983524.989525.010425.0000

Card location is shown by percent.

TopMain

Double-Dummy

  Statistic  NorthSouthWestEastTheoretical
Spade make0-13 6 6 6.29690-13 6 6 6.29700-13 6 6 6.29470-13 6 6 6.29460-13 6 6 6.296?
Heart make0-13 6 6 6.29500-13 6 6 6.29510-13 6 6 6.29630-13 6 6 6.29640-13 6 6 6.296?
Diamond make0-13 6 6 6.29500-13 6 6 6.29500-13 6 6 6.29640-13 6 6 6.29640-13 6 6 6.296?
Club make0-13 6 6 6.29680-13 6 6 6.29670-13 6 6 6.29470-13 6 6 6.29460-13 6 6 6.296?
Longest fit length7-13 8 8 8.35137-13 8 8 8.35137-13 8 8 8.35147-13 8 8 8.35147-13 8 8 8.3512
Longest fit make0-13 9 8 8.37550-13 9 8 8.37550-13 9 8 8.37500-13 9 8 8.37500-13 9 8 8.375?
Best fit length5-13 8 8 8.33275-13 8 8 8.33275-13 8 8 8.33275-13 8 8 8.33275-13 8 8 8.333?
Best fit make0-13 9 8 8.39400-13 9 8 8.39400-13 9 8 8.39360-13 9 8 8.39350-13 9 8 8.394?
Notrump make0-13 6 6 6.00720-13 6 6 6.00720-13 6 6 6.00590-13 6 6 6.00590-13 6 6 6.006?
Highest makable0-65 44 40 40.09270-65 44 40 40.09260-65 44 40 40.09040-65 44 40 40.09030-65 44 40 40.092?
Best score makable0-65 44 40 39.97710-65 44 40 39.97690-65 44 40 39.97510-65 44 40 39.97490-65 44 40 39.976?
On-lead makable0-65 44 43 42.02300-65 44 43 42.02350-65 44 43 42.01970-65 44 43 42.02010-65 44 43 42.022?

Makable scale: Trickless=0, 1C=31, 1D=32, 2H=38, 3NT=45, 4S=49, 6D=57, 7NT=65
Theoretical mean ending in ? is estimated empirically (calculation impossible).

TopMain

Par Result

  Statistic  North-SouthWest-EastSides Combined
Deals plus5241511 49.98695243995 50.010610485506 99.9976
Deals making4304026 41.04644304147 41.04758608173 82.0939
Deals setting937485 8.9406939848 8.96311877333 17.9036
Contracts plus31-65 44 48 48.560131-65 44 48 48.555431-65 44 48 48.5577
Contracts making31-65 44 48 48.253231-65 44 48 48.247931-65 44 48 48.2505
Contracts setting39-65 49 49 49.968939-65 49 49 49.963739-65 49 49 49.9663
Scores plus70-2220 140 420 446.236170-2220 140 420 445.839770-2220 140 420 446.0378
Scores making70-2220 140 420 469.703870-2220 140 420 469.241170-2220 140 420 469.4724
Scores setting100-2000 100 200 338.4950100-2000 100 200 338.6702100-2000 100 200 338.5827

Rows 1-3 show: Deals Percent. Rows 4-9 show: Min-Max Mode Median Mean.
Scores determined by actual vulnerability, or standard cyclic if unknown.
Par zero deals: 254 0.0024 (not included in table)

TopMain

Law of Total Tricks

  Statistic  FrequencyNorth-SouthWest-EastTotal Tricks
14 total trumps1099687 10.48740-13 7 7 7.18060-13 7 7 7.17529-20 14 14 14.3558
15 total trumps1099578 10.48640-13 8 8 7.62470-13 8 8 7.621010-21 15 15 15.2457
16 total trumps2822966 26.92190-13 8 8 8.05340-13 8 8 8.05659-22 16 16 16.1099
17 total trumps2408211 22.96650-13 9 9 8.54300-13 9 9 8.54189-23 17 17 17.0848
18 total trumps1637330 15.61481-13 9 9 9.01441-13 9 9 9.013512-24 18 18 18.0280
19 total trumps888511 8.47351-13 10 9 9.39081-13 10 9 9.389013-24 19 19 18.7798
20 total trumps372703 3.55441-13 10 10 9.74331-13 10 10 9.747014-26 19 19 19.4903
21 total trumps120087 1.14522-13 10 10 10.03893-13 10 10 10.036415-25 20 20 20.0752
22 total trumps30169 0.28775-13 11 10 10.32035-13 11 10 10.340316-26 21 21 20.6606
23 total trumps5661 0.05405-13 11 11 10.62506-13 11 11 10.575217-25 21 21 21.2001
24 total trumps785 0.00757-13 10 11 10.79117-13 11 11 10.839519-26 22 22 21.6306
25 total trumps70 0.00077-13 12 11 11.01438-13 11 11 10.885719-25 22 22 21.9000
26 total trumps2 0.00009-10 9 9 9.500011-13 11 11 12.000020-23 20 20 21.5000

Frequency column shows: Deals Percent.
Columns 3-5 show tricks won: Min-Max Mode Median Mean.
Stronger hand is presumed to be declarer if it matters.

Statistics for 10,485,760 Deals

TopMain

© 2016 Richard Pavlicek