Main     Match AC77 by Richard Pavlicek    

IMP Matches to 7-12-17

Statistics for 7917 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 2.99750-14 1 3 2.97880-13 1 3 2.98550-12 1 3 2.94990-20 1 3 2.9829
Generic pattern0-30 1 3 4.18810-33 1 3 4.11520-30 1 3 4.13920-29 1 3 4.09110-38 1 3 4.1404
Controls A=2 K=10-10 3 3 2.98940-10 3 3 2.96320-11 3 3 3.05850-10 2 3 2.98890-12 3 3 3.0000
High-card points0-28 10 10 9.98980-26 9 10 9.92640-28 9 10 10.12540-30 10 10 9.95840-37 10 10 10.0000
Total points0-29 11 11 11.36000-30 10 11 11.28861-30 12 11 11.50990-31 12 11 11.32710-38 11 11 11.3682
Playing half-tricks2-22 11 11 10.73612-24 10 11 10.68912-24 11 11 10.82112-23 10 11 10.68322-26 10 11 10.7371
Quick half-tricks0-14 2 3 3.54590-13 2 3 3.50640-14 2 3 3.63660-14 2 3 3.54980-16 2 3 3.5563
Losing trick count2-12 8 8 7.54921-12 8 8 7.58361-12 7 8 7.51132-12 8 8 7.57960-12 8 8 7.5566
Long suit length4-9 5 5 4.90454-10 5 5 4.89774-9 5 5 4.88804-9 5 5 4.89444-13 5 5 4.9008
Short suit length0-3 2 2 1.69420-3 2 2 1.69750-3 2 2 1.68930-3 2 2 1.71010-3 2 2 1.6977
Suit controls0-25 9 9 8.93470-27 7 9 8.86000-26 8 9 9.07350-24 9 9 8.90080-28 9 9 8.9418
Suit guards0-8 6 5 5.18970-8 6 5 5.16660-8 6 5 5.20580-8 6 5 5.16450-8 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 0.05890-2 0 0 0.05610-2 0 0 0.06410-2 0 0 0.06300-3 0 0 0.0512
Singletons0-2 0 0 0.32110-2 0 0 0.32160-2 0 0 0.32320-2 0 0 0.30970-3 0 0 0.3202
Doubletons0-3 1 1 0.82700-3 1 1 0.82680-3 1 1 0.81950-3 1 1 0.82910-3 1 1 0.8235
Tripletons0-3 1 1 1.14020-3 1 1 1.14160-3 1 1 1.12610-3 1 1 1.15440-3 1 1 1.1453
4 card suits0-3 1 1 0.95470-3 1 1 0.95100-3 1 1 0.97450-3 1 1 0.95630-3 1 1 0.9544
5 card suits0-2 0 0 0.49540-2 0 0 0.50690-2 0 0 0.50370-2 0 0 0.49490-2 0 0 0.4988
6 card suits0-2 0 0 0.16820-2 0 0 0.16370-2 0 0 0.16220-2 0 0 0.16400-2 0 0 0.1663
7 card suits0-1 0 0 0.03410-1 0 0 0.03550-1 0 0 0.03330-1 0 0 0.03510-1 0 0 0.0353
8 card suits0-1 0 0 0.00640-1 0 0 0.00330-1 0 0 0.00440-1 0 0 0.00440-1 0 0 0.0047
9 card suits0-1 0 0 0.00100-1 0 0 0.00040-1 0 0 0.00010-1 0 0 0.00050-1 0 0 0.0004
10 card suits0-1 0 0 0.00010-1 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 0.99310-4 1 1 0.98930-4 1 1 1.01860-4 1 1 0.99910-4 1 1 1.0000
Kings0-4 1 1 1.00330-4 1 1 0.98470-4 1 1 1.02130-4 1 1 0.99070-4 1 1 1.0000
Queens0-4 1 1 1.00690-4 1 1 0.99600-4 1 1 0.99570-4 1 1 1.00140-4 1 1 1.0000
Jacks0-4 1 1 0.99380-4 1 1 1.02320-4 1 1 0.99570-4 1 1 0.98720-4 1 1 1.0000
Tens0-4 1 1 1.00480-4 1 1 1.00660-4 1 1 0.97920-4 1 1 1.00950-4 1 1 1.0000
Nines0-4 1 1 0.99190-4 1 1 0.99200-4 1 1 1.00090-4 1 1 1.01520-4 1 1 1.0000
Eights0-4 1 1 1.00150-4 1 1 0.99130-4 1 1 0.99510-4 1 1 1.01210-4 1 1 1.0000
Sevens0-4 1 1 1.00420-4 1 1 1.00430-4 1 1 1.00250-4 1 1 0.98900-4 1 1 1.0000
Sixes0-4 1 1 0.99620-4 1 1 0.98700-4 1 1 1.01010-4 1 1 1.00670-4 1 1 1.0000
Fives0-4 1 1 1.00270-4 1 1 1.00660-4 1 1 0.99530-4 1 1 0.99550-4 1 1 1.0000
Fours0-4 1 1 0.99700-4 1 1 1.00560-4 1 1 0.99950-4 1 1 0.99800-4 1 1 1.0000
Threes0-4 1 1 1.00850-4 1 1 1.00290-4 1 1 1.00330-4 1 1 0.98530-4 1 1 1.0000
Twos0-4 1 1 0.99620-4 1 1 1.01060-4 1 1 0.98280-4 1 1 1.01040-4 1 1 1.0000

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Specific Suits

  Statistic  NorthSouthWestEastTheoretical
s length0-9 3 3 3.28390-9 3 3 3.22690-8 3 3 3.24490-8 3 3 3.24430-13 10 10 3.2500
h length0-9 3 3 3.22360-10 3 3 3.27780-9 3 3 3.22690-9 3 3 3.27180-13 10 10 3.2500
d length0-9 3 3 3.24300-9 3 3 3.26990-8 3 3 3.26830-9 3 3 3.21880-13 10 10 3.2500
c length0-9 3 3 3.24950-8 3 3 3.22550-8 3 3 3.25990-9 3 3 3.26510-13 10 10 3.2500
s quality0-124 0 20 32.28950-124 0 19 31.12690-126 0 20 32.31430-124 0 19 31.26930-127 0 20 31.7500
h quality0-122 0 19 30.98080-126 0 20 32.18790-127 0 20 32.04690-126 0 20 31.78440-127 0 20 31.7500
d quality0-127 0 20 31.65400-125 0 19 31.50010-126 0 20 32.50600-126 0 20 31.33990-127 0 20 31.7500
c quality0-127 0 20 31.80230-126 0 19 31.13170-124 0 20 31.81470-126 0 20 32.25120-127 0 20 31.7500
s x-cards0-63 0 10 16.05330-63 0 10 15.69310-62 0 10 15.66450-62 0 10 15.58910-63 0 10 15.7500
h x-cards0-62 0 10 15.73970-63 0 10 15.84540-62 0 9 15.59190-63 0 10 15.82300-63 0 10 15.7500
d x-cards0-63 0 9 15.56230-62 0 10 15.94190-62 0 10 15.80760-62 0 9 15.68810-63 0 10 15.7500
c x-cards0-63 0 10 15.73970-62 0 10 15.54010-63 0 10 16.12850-62 0 10 15.59180-63 0 10 15.7500
s half-tricks0-17 0 2 2.74950-18 0 2 2.60310-16 0 2 2.70710-16 0 2 2.65240-26 0 2 2.6843
h half-tricks0-16 0 2 2.62330-20 0 2 2.73450-17 0 2 2.68170-18 0 2 2.71670-26 0 2 2.6843
d half-tricks0-18 0 2 2.66290-18 0 2 2.71420-16 0 2 2.73830-18 0 2 2.60380-26 0 2 2.6843
c half-tricks0-18 0 2 2.70040-16 0 2 2.63740-16 0 2 2.69410-17 0 2 2.71040-26 0 2 2.6843
s control0-7 1 2 2.25070-7 1 2 2.19140-7 1 2 2.28370-7 1 2 2.19650-7 1 2 2.2354
h control0-7 1 2 2.20700-7 1 2 2.24150-7 1 2 2.28230-7 1 2 2.23190-7 1 2 2.2354
d control0-7 1 2 2.22900-7 1 2 2.22030-7 1 2 2.27320-7 1 2 2.21220-7 1 2 2.2354
c control0-7 1 2 2.24790-7 1 2 2.20690-7 1 2 2.23430-7 1 2 2.26020-7 1 2 2.2354
s guard0-2 2 2 1.31270-2 2 2 1.27790-2 2 2 1.30900-2 2 2 1.28470-2 2 2 1.2938
h guard0-2 2 2 1.28780-2 2 2 1.31110-2 2 2 1.28840-2 2 2 1.29850-2 2 2 1.2938
d guard0-2 2 2 1.30190-2 2 2 1.29820-2 2 2 1.31800-2 2 2 1.27990-2 2 2 1.2938
c guard0-2 2 2 1.28820-2 2 2 1.28030-2 2 2 1.29190-2 2 2 1.30280-2 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
4-4-3-222.432721.712822.129621.712821.5512
5-3-3-215.169915.599314.866715.675115.5168
5-4-3-112.946812.782613.426812.378412.9307
5-4-2-210.281710.749010.989010.799510.5797
4-3-3-310.180610.231110.357510.812210.5361
6-3-2-25.79775.62085.03985.84825.6425
6-4-2-14.38304.54725.00194.39564.7021
6-3-3-13.57463.63773.22093.44833.4482
5-5-2-13.27143.53673.25883.08203.1739
4-4-4-12.80412.90512.90512.94302.9932
7-3-2-11.65471.75571.66731.78101.8808
6-4-3-01.33891.25051.43991.30101.3262
5-4-4-01.11151.27571.22521.47781.2433
5-5-3-00.93470.96000.90940.75790.8952
6-5-1-10.79580.73260.70730.73260.7053
6-5-2-00.70730.48000.66940.59370.6511
7-2-2-20.55580.51790.45470.51790.5130
7-4-1-10.39160.50520.40420.34100.3918
7-4-2-00.44210.34100.37890.34100.3617
7-3-3-00.26530.35370.27790.37890.2652
8-2-2-10.31580.13890.21470.20210.1924
8-3-1-10.21470.08840.07580.15160.1176
7-5-1-00.10100.07580.13890.15160.1085
8-3-2-00.10100.10100.11370.03790.1085
6-6-1-00.11370.05050.06320.03790.0723
8-4-1-00.02530.05050.0452
9-2-1-10.05050.02530.01260.01260.0178
9-3-1-00.03790.01260.02530.0100
9-2-2-00.01260.01260.0082
7-6-0-00.01260.0056
8-5-0-00.01260.01260.0031
10-2-1-00.01260.0011
9-4-0-00.0010
10-1-1-10.0004
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 A25.489524.567425.527324.415825.0000
H A23.999025.653725.388424.958925.0000
D A24.592624.933725.956824.516925.0000
C A25.224223.771624.984226.020025.0000
S K25.767323.948525.729424.554825.0000
H K24.655824.782125.502125.060025.0000
D K25.274724.188525.552624.984225.0000
C K24.630525.552625.350524.466325.0000
S Q25.123224.946324.946324.984225.0000
H Q25.287425.047424.542125.123225.0000
D Q25.337925.047425.060024.554825.0000
C Q24.946324.554825.022125.476825.0000
S J24.479025.198925.325224.996825.0000
H J24.542125.641025.123224.693725.0000
D J25.262125.577924.403224.756925.0000
C J25.097925.906324.719024.276925.0000
S 1024.895824.769524.491625.843125.0000
H 1024.984225.805223.897925.312625.0000
D 1024.681124.946325.097925.274725.0000
C 1025.918925.135824.428424.516925.0000
S 925.173724.542125.072625.211625.0000
H 923.973725.097924.516926.411525.0000
D 925.754725.047424.971624.226325.0000
C 924.289524.516925.527325.666325.0000
S 825.337925.135824.479025.047425.0000
H 824.340024.630525.476825.552625.0000
D 824.946324.958925.161024.933725.0000
C 825.527324.403224.390625.678925.0000
S 725.805224.908424.933724.352725.0000
H 724.794725.262124.794725.148425.0000
D 724.996825.350524.731624.921125.0000
C 724.820024.908425.792624.479025.0000
S 624.921124.883224.782125.413725.0000
H 625.123224.933724.731625.211625.0000
D 624.188524.921125.653725.236825.0000
C 625.388423.961125.843124.807425.0000
S 525.375825.047424.668424.908425.0000
H 525.653725.186324.390624.769525.0000
D 524.390625.476825.552624.580025.0000
C 524.845324.946324.921125.287425.0000
S 425.401024.567425.009525.022125.0000
H 424.554824.908425.148425.388425.0000
D 424.428426.310524.984224.276925.0000
C 425.312624.769524.807425.110525.0000
S 325.590525.287425.148423.973725.0000
H 324.668425.262125.161024.908425.0000
D 326.032624.946324.832624.188525.0000
C 324.554824.794725.186325.464225.0000
S 225.034724.883224.377925.704225.0000
H 225.780025.565224.011624.643225.0000
D 224.415825.287424.870525.426325.0000
C 224.390625.325225.022125.262125.0000

Card location is shown by percent.

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Double-Dummy

  Statistic  NorthSouthWestEastTheoretical
Spade make0-13 7 6 6.27370-13 7 6 6.27690-13 6 6 6.32450-13 6 6 6.32170-13 6 6 6.296?
Heart make0-13 6 6 6.24240-13 6 6 6.24420-13 7 6 6.34950-13 7 6 6.34890-13 6 6 6.296?
Diamond make0-13 6 6 6.27270-13 6 6 6.27280-13 5 6 6.31700-13 5 6 6.32310-13 6 6 6.296?
Club make0-13 5 6 6.23660-13 5 6 6.23590-13 7 6 6.36520-13 6 6 6.36490-13 6 6 6.296?
Longest fit length7-12 8 8 8.35007-12 8 8 8.35007-12 8 8 8.34277-12 8 8 8.34277-13 8 8 8.3512
Longest fit make1-13 8 8 8.26971-13 8 8 8.26810-13 9 8 8.32030-13 9 8 8.32100-13 9 8 8.375?
Best fit length6-12 8 8 8.33146-12 8 8 8.33115-12 8 8 8.32345-12 8 8 8.32325-13 8 8 8.333?
Best fit make1-13 8 8 8.36951-13 8 8 8.36901-13 9 8 8.42961-13 9 8 8.42970-13 9 8 8.394?
Notrump make0-13 6 6 5.96360-13 6 6 5.96670-13 6 6 6.05230-13 6 6 6.05000-13 6 6 6.006?
Highest makable5-65 39 40 39.96205-65 39 40 39.95782-65 44 41 40.26902-65 44 41 40.27590-65 44 40 40.092?
Best score makable0-65 0 11 18.60370-65 0 11 18.59400-65 0 11 18.35710-65 0 11 18.34250-65 44 40 39.976?
On-lead makable5-65 44 42 41.50056-65 44 42 41.50142-65 44 42 41.80712-65 44 42 41.82080-65 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 plus3943 49.80423974 50.19587917 100.0000
Deals making3216 40.62143301 41.69516517 82.3165
Deals setting727 9.1828673 8.50071400 17.6835
Contracts plus33-65 49 48 48.494033-65 44 48 48.827133-65 44 48 48.6612
Contracts making33-65 44 48 48.211433-65 44 48 48.522033-65 44 48 48.3687
Contracts setting39-64 49 49 49.744239-64 49 49 50.323939-64 49 49 50.0229
Scores plus80-2220 140 420 446.221280-2220 140 420 464.391080-2220 140 420 455.3417
Scores making80-2220 140 420 469.263180-2220 140 420 484.759280-2220 140 420 477.1122
Scores setting100-2000 100 200 344.2916100-2000 100 200 364.4874100-2000 100 200 354.0000

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: 0

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Law of Total Tricks

  Statistic  FrequencyNorth-SouthWest-EastTotal Tricks
14 total trumps834 10.53431-13 6 7 7.19661-13 6 7 7.220613-20 14 14 14.4173
15 total trumps830 10.48382-13 7 8 7.62171-13 7 8 7.644612-18 15 15 15.2663
16 total trumps2138 27.00521-13 8 8 8.04162-13 9 8 8.082812-22 16 16 16.1244
17 total trumps1818 22.96322-13 8 9 8.54020-13 8 9 8.543510-20 17 17 17.0836
18 total trumps1231 15.54882-13 8 9 8.93833-13 9 9 9.121915-23 18 18 18.0601
19 total trumps706 8.91754-13 9 9 9.29184-13 9 10 9.528316-23 19 19 18.8201
20 total trumps247 3.11995-13 11 10 9.74495-13 10 10 9.712617-23 19 19 19.4575
21 total trumps86 1.08635-13 11 10 10.11636-13 10 10 9.976717-23 20 20 20.0930
22 total trumps23 0.29058-13 12 11 10.65227-13 8 9 9.956518-24 21 21 20.6087
23 total trumps4 0.05058-13 8 10 10.50007-13 7 10 10.500020-22 21 21 21.0000
24 total trumps
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 7917 Deals

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© 2017 Richard Pavlicek