Main     Stats 9Y36 by Richard Pavlicek    

72 Major Events 1996-2014

Statistics for 40,069 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 freakness0-13 1 3 2.96290-13 1 3 2.98900-13 1 3 2.98090-13 1 3 2.99320-20 1 3 2.9829
Generic pattern0-33 0 2 3.64690-30 0 3 3.68910-30 0 2 3.69790-32 0 3 3.69630-38 1 3 3.6954
Controls A=2 K=10-10 3 3 3.00790-11 3 3 2.99610-10 3 3 2.97990-10 3 3 3.01610-12 3 3 3.0000
High-card points0-30 10 10 10.01750-28 9 10 9.98370-29 10 10 9.96490-30 9 10 10.03390-37 10 10 10.0000
Total points0-31 11 11 11.38180-30 11 11 11.35710-30 12 11 11.33250-31 12 11 11.39810-38 11 11 11.3682
Playing half-tricks2-24 10 11 10.73212-25 10 11 10.73302-24 11 11 10.72202-24 10 11 10.76102-26 10 11 10.7371
Quick half-tricks0-14 2 3 3.56970-15 2 3 3.55380-14 2 3 3.54160-14 4 3 3.57270-16 2 3 3.5563
Losing trick count1-12 8 8 7.56331-12 8 8 7.55791-12 8 8 7.56531-12 8 8 7.54560-12 8 8 7.5566
Long suit length4-10 5 5 4.89334-9 5 5 4.90484-9 5 5 4.89764-9 5 5 4.90584-13 5 5 4.9008
Short suit length0-3 2 2 1.70290-3 2 2 1.70030-3 2 2 1.69840-3 2 2 1.69670-3 2 2 1.6977
Suit controls0-27 9 9 8.93850-27 9 9 8.93070-27 7 9 8.89950-27 9 9 8.97580-28 9 9 8.9418
Suit guards0-8 6 5 5.17990-8 6 5 5.16630-8 6 5 5.15190-8 6 5 5.17930-8 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 0.05700-2 0 0 0.05840-2 0 0 0.05890-2 0 0 0.05900-3 0 0 0.0512
Singletons0-3 0 0 0.32030-2 0 0 0.31860-2 0 0 0.31970-2 0 0 0.32120-3 0 0 0.3202
Doubletons0-3 1 1 0.82450-3 1 1 0.83470-3 1 1 0.82850-3 1 1 0.82670-3 1 1 0.8235
Tripletons0-3 1 1 1.14530-3 1 1 1.13770-3 1 1 1.13650-3 1 1 1.14370-3 1 1 1.1453
4 card suits0-3 1 1 0.96040-3 1 1 0.94770-3 1 1 0.95920-3 1 1 0.94740-3 1 1 0.9544
5 card suits0-2 0 0 0.49830-2 0 0 0.50410-2 0 0 0.49900-2 0 0 0.50300-2 0 0 0.4988
6 card suits0-2 0 0 0.16160-2 0 0 0.16730-2 0 0 0.16720-2 0 0 0.16650-2 0 0 0.1663
7 card suits0-1 0 0 0.03560-1 0 0 0.03530-1 0 0 0.03470-1 0 0 0.03540-1 0 0 0.0353
8 card suits0-1 0 0 0.00480-1 0 0 0.00420-1 0 0 0.00420-1 0 0 0.00520-1 0 0 0.0047
9 card suits0-1 0 0 0.00050-1 0 0 0.00040-1 0 0 0.00030-1 0 0 0.00020-1 0 0 0.0004
10 card suits0-1 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 1.00520-4 1 1 0.99830-4 1 1 0.98810-4 1 1 1.00840-4 1 1 1.0000
Kings0-4 1 1 0.99750-4 1 1 0.99960-4 1 1 1.00370-4 1 1 0.99930-4 1 1 1.0000
Queens0-4 1 1 1.00140-4 1 1 0.99660-4 1 1 0.99870-4 1 1 1.00330-4 1 1 1.0000
Jacks0-4 1 1 1.00140-4 1 1 0.99870-4 1 1 1.00410-4 1 1 0.99580-4 1 1 1.0000
Tens0-4 1 1 0.99310-4 1 1 1.00130-4 1 1 1.00870-4 1 1 0.99690-4 1 1 1.0000
Nines0-4 1 1 0.99550-4 1 1 1.01280-4 1 1 0.99280-4 1 1 0.99900-4 1 1 1.0000
Eights0-4 1 1 0.99760-4 1 1 0.99330-4 1 1 1.00720-4 1 1 1.00190-4 1 1 1.0000
Sevens0-4 1 1 0.99930-4 1 1 0.99810-4 1 1 1.00740-4 1 1 0.99520-4 1 1 1.0000
Sixes0-4 1 1 0.99740-4 1 1 1.00850-4 1 1 0.99430-4 1 1 0.99980-4 1 1 1.0000
Fives0-4 1 1 0.99770-4 1 1 1.00500-4 1 1 1.00120-4 1 1 0.99600-4 1 1 1.0000
Fours0-4 1 1 1.00110-4 1 1 0.99860-4 1 1 0.99570-4 1 1 1.00470-4 1 1 1.0000
Threes0-4 1 1 1.01060-4 1 1 0.99160-4 1 1 1.00090-4 1 1 0.99690-4 1 1 1.0000
Twos0-4 1 1 1.00220-4 1 1 0.99760-4 1 1 0.99730-4 1 1 1.00290-4 1 1 1.0000

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Specific Suits

  Statistic  NorthSouthWestEastTheoretical
s length0-9 3 3 3.25350-9 3 3 3.24620-9 3 3 3.24370-9 3 3 3.25660-13 10 10 3.2500
h length0-9 3 3 3.25620-9 3 3 3.24370-8 3 3 3.27010-9 3 3 3.22990-13 10 10 3.2500
d length0-9 3 3 3.24550-9 3 3 3.26480-9 3 3 3.25290-9 3 3 3.23680-13 10 10 3.2500
c length0-10 3 3 3.24480-9 3 3 3.24530-9 3 3 3.23320-9 3 3 3.27670-13 10 10 3.2500
s quality0-126 0 20 32.11030-126 0 20 31.67910-125 0 20 31.53590-125 0 20 31.67480-127 0 20 31.7500
h quality0-126 0 20 31.98030-127 0 20 31.92950-127 0 20 31.76540-126 0 19 31.32480-127 0 20 31.7500
d quality0-127 0 19 31.44520-127 0 20 31.89670-126 0 20 31.67710-126 0 20 31.98100-127 0 20 31.7500
c quality0-126 0 20 31.71190-126 0 19 31.32950-127 0 20 31.41690-126 0 20 32.54170-127 0 20 31.7500
s x-cards0-63 0 9 15.57760-63 0 10 15.73540-63 0 10 15.83310-63 0 10 15.85390-63 0 10 15.7500
h x-cards0-63 0 10 15.98510-63 0 10 15.75160-63 0 10 15.71400-63 0 9 15.54940-63 0 10 15.7500
d x-cards0-63 0 10 15.68870-63 0 10 15.83160-63 0 10 15.90580-63 0 9 15.57390-63 0 10 15.7500
c x-cards0-63 0 9 15.69380-63 0 10 15.77310-63 0 10 15.68320-63 0 10 15.84990-63 0 10 15.7500
s half-tricks0-18 0 2 2.69050-18 0 2 2.67260-17 0 2 2.67210-16 0 2 2.69050-26 0 2 2.6843
h half-tricks0-18 0 2 2.71100-18 0 2 2.68750-16 0 2 2.72150-18 0 2 2.63770-26 0 2 2.6843
d half-tricks0-18 0 2 2.66310-18 0 2 2.70790-18 0 2 2.67260-18 0 2 2.67940-26 0 2 2.6843
c half-tricks0-19 0 2 2.66740-18 0 2 2.66500-18 0 2 2.65580-18 0 2 2.75340-26 0 2 2.6843
s control0-7 1 2 2.24180-7 1 2 2.23940-7 1 2 2.23310-7 1 2 2.22010-7 1 2 2.2354
h control0-7 1 2 2.25090-7 1 2 2.25190-7 1 2 2.22440-7 1 2 2.21670-7 1 2 2.2354
d control0-7 1 2 2.21780-7 1 2 2.22640-7 1 2 2.21900-7 1 2 2.26630-7 1 2 2.2354
c control0-7 1 2 2.22800-7 1 2 2.21300-7 1 2 2.22290-7 1 2 2.27270-7 1 2 2.2354
s guard0-2 2 2 1.30680-2 2 2 1.28770-2 2 2 1.28560-2 2 2 1.29010-2 2 2 1.2938
h guard0-2 2 2 1.29720-2 2 2 1.29460-2 2 2 1.29210-2 2 2 1.28360-2 2 2 1.2938
d guard0-2 2 2 1.29390-2 2 2 1.30020-2 2 2 1.29420-2 2 2 1.29560-2 2 2 1.2938
c guard0-2 2 2 1.28280-2 2 2 1.28490-2 2 2 1.28090-2 2 2 1.31100-2 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
4-4-3-222.136821.313221.532921.383121.5512
5-3-3-215.473315.618115.475815.640515.5168
5-4-3-112.940212.693113.040012.897812.9307
5-4-2-210.634211.003510.636710.729010.5797
4-3-3-310.501910.407010.374610.442010.5361
6-3-2-25.40075.80255.92235.65775.6425
6-4-2-14.68944.81174.70194.65454.7021
6-3-3-13.38173.38173.21703.46653.4482
5-5-2-13.18703.41912.96493.34423.1739
4-4-4-12.85512.90003.25192.87002.9932
7-3-2-11.98161.81941.76201.91671.8808
6-4-3-01.25031.26531.21041.40511.3262
5-4-4-01.20541.20041.15801.18801.2433
5-5-3-00.90340.82861.03820.87350.8952
6-5-1-10.76370.67380.76620.71380.7053
6-5-2-00.51660.61390.69380.56900.6511
7-2-2-20.49910.46670.59400.44170.5130
7-4-1-10.39430.45920.40930.41180.3918
7-4-2-00.33440.37680.36940.41930.3617
7-3-3-00.22710.28450.21210.22210.2652
8-2-2-10.18970.15970.16970.24460.1924
8-3-1-10.09480.07240.09980.10980.1176
7-5-1-00.11730.10730.11980.11980.1085
8-3-2-00.14230.15720.09730.13230.1085
6-6-1-00.07740.08240.10230.08730.0723
8-4-1-00.04740.02750.04490.02500.0452
9-2-1-10.02000.01250.01500.01000.0178
9-3-1-00.01500.02500.01250.00500.0100
9-2-2-00.01250.00500.0082
7-6-0-00.00250.01250.00750.0056
8-5-0-00.00250.00500.00750.00500.0031
10-2-1-00.0011
9-4-0-00.00250.0010
10-1-1-10.00250.0004
10-3-0-00.0002
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 A25.298925.244024.867124.590125.0000
H A25.298925.214024.719924.767325.0000
D A24.607624.949524.852125.590925.0000
C A25.316324.417924.370525.895325.0000
S K25.413724.417924.712425.456125.0000
H K25.131625.328825.169124.370525.0000
D K24.862125.481025.076724.580125.0000
C K24.338024.732325.411225.518525.0000
S Q25.129224.869624.697425.303925.0000
H Q25.366224.615025.371224.647525.0000
D Q24.937024.897125.141625.024325.0000
C Q24.712425.278924.655025.353825.0000
S J25.298924.679925.179124.842125.0000
H J24.507725.086725.568424.837225.0000
D J25.019325.298924.777324.904525.0000
C J25.313824.802224.887124.996925.0000
S 1024.617525.306324.984425.091725.0000
H 1024.679925.106725.486024.727325.0000
D 1024.874625.016825.169124.939525.0000
C 1025.139124.699925.234024.927025.0000
S 925.348824.837224.742325.071825.0000
H 924.345524.864625.518525.271425.0000
D 925.206525.778024.325524.689925.0000
C 924.645025.803024.689924.862125.0000
S 825.041824.667425.281425.009425.0000
H 825.353824.041025.593425.011925.0000
D 824.991925.139124.907024.961925.0000
C 824.375525.483524.934525.206525.0000
S 724.555124.927025.396225.121725.0000
H 725.476124.889625.059324.575125.0000
D 724.872125.139125.428624.560125.0000
C 725.024324.857124.852125.266425.0000
S 624.872124.984424.702425.441125.0000
H 625.598324.984424.842124.575125.0000
D 624.829725.146625.011925.011925.0000
C 624.442825.735624.874624.947025.0000
S 524.887125.004425.266424.842125.0000
H 524.832225.536024.640024.991925.0000
D 525.164125.101725.064324.669925.0000
C 524.889624.862125.151625.096725.0000
S 424.932025.149124.575125.343825.0000
H 424.961925.019324.894625.124225.0000
D 424.669925.481025.106724.742325.0000
C 425.543424.210724.989425.256425.0000
S 325.266424.964424.991924.777325.0000
H 325.121724.894625.176624.807225.0000
D 325.176624.572625.303924.947025.0000
C 325.493524.727324.617525.161625.0000
S 224.687425.568424.976924.767325.0000
H 224.949524.792224.974425.283925.0000
D 225.341324.477825.126725.054325.0000
C 225.241524.917024.655025.186625.0000

Card location is shown by percent.

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Double-Dummy

  Statistic  NorthSouthWestEastTheoretical
Spade make0-13 6 6 6.29250-13 6 6 6.29020-13 6 6 6.29130-13 6 6 6.29100-13 6 6 6.296?
Heart make0-13 7 6 6.28950-13 7 6 6.29070-13 6 6 6.29590-13 6 6 6.29690-13 6 6 6.296?
Diamond make0-13 6 6 6.30130-13 6 6 6.30260-13 6 6 6.28530-13 6 6 6.28950-13 6 6 6.296?
Club make0-13 6 6 6.28120-13 6 6 6.27940-13 6 6 6.30820-13 6 6 6.31080-13 6 6 6.296?
Longest fit length7-13 8 8 8.34867-13 8 8 8.34867-12 8 8 8.34807-12 8 8 8.34807-13 8 8 8.3512
Longest fit make1-13 9 8 8.29511-13 9 8 8.29680-13 9 8 8.29610-13 9 8 8.30180-13 9 8 8.375?
Best fit length6-13 8 8 8.32896-13 8 8 8.32936-12 8 8 8.32846-12 8 8 8.32865-13 8 8 8.333?
Best fit make1-13 9 8 8.39021-13 9 8 8.39241-13 9 8 8.39181-13 9 8 8.39480-13 9 8 8.394?
Notrump make0-13 6 6 6.00960-13 6 6 6.00540-13 6 6 6.00100-13 6 6 6.00570-13 6 6 6.006?
Highest makable2-65 39 40 40.06514-65 39 40 40.07232-65 44 40 40.07862-65 44 41 40.08910-65 44 40 40.092?
Best score makable0-65 0 11 18.46190-65 0 11 18.50530-65 0 11 18.37830-65 0 11 18.47280-65 44 40 39.976?
On-lead makable4-65 39 42 41.70374-65 44 42 41.68722-65 44 42 41.67312-65 44 42 41.66710-65 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).

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Par Result

  Statistic  North-SouthWest-EastSides Combined
Deals plus19980 49.864020085 50.126040065 99.9900
Deals making16491 41.156516597 41.421033088 82.5776
Deals setting3489 8.70753488 8.70506977 17.4125
Contracts plus33-65 44 48 48.486332-65 44 48 48.525332-65 44 48 48.5059
Contracts making33-65 44 48 48.208232-65 44 48 48.233032-65 44 48 48.2206
Contracts setting39-64 49 49 49.801139-64 49 49 49.916339-64 49 49 49.8587
Scores plus80-2220 140 400 443.428470-2220 140 400 444.954470-2220 140 400 444.1934
Scores making80-2220 140 420 466.933570-2220 140 420 468.229870-2220 140 420 467.5837
Scores setting100-2000 100 200 332.3302100-2000 100 200 334.2030100-2000 100 200 333.2664

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: 4 0.0100 (not included in table)

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Law of Total Tricks

  Statistic  FrequencyNorth-SouthWest-EastTotal Tricks
14 total trumps4219 10.52931-13 8 7 7.23231-13 6 7 7.132712-18 14 14 14.3650
15 total trumps4177 10.42452-13 7 8 7.62171-13 7 8 7.604012-18 15 15 15.2258
16 total trumps10884 27.16311-13 8 8 8.05640-13 8 8 8.065012-20 16 16 16.1215
17 total trumps9360 23.35971-13 8 9 8.55600-13 8 9 8.538613-21 17 17 17.0946
18 total trumps6006 14.98913-13 9 9 8.96492-13 9 9 9.038514-22 18 18 18.0033
19 total trumps3333 8.31824-13 9 9 9.39034-13 10 10 9.436815-23 19 19 18.8272
20 total trumps1452 3.62375-13 10 10 9.73285-13 10 10 9.705916-24 19 19 19.4387
21 total trumps511 1.27536-13 10 10 10.02155-13 11 10 10.033317-24 20 20 20.0548
22 total trumps105 0.26206-13 10 10 10.36197-13 10 10 10.371417-24 21 21 20.7333
23 total trumps15 0.03748-13 10 10 10.20009-13 11 11 10.666720-22 20 21 20.8667
24 total trumps7 0.017512-13 12 12 12.42869-10 9 9 9.428621-23 21 21 21.8571
25 total trumps
26 total trumps

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 40,069 Deals

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© 2014 Richard Pavlicek