Main     BBO Match AN17 by Richard Pavlicek    

MP Matches to 11-21-16

Statistics for 400 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 freakness0-9 1 2 2.71000-13 1 2 2.77500-13 4 3 3.13250-10 4 3 3.10750-20 1 3 2.9829
Generic pattern0-21 1 2 3.60250-30 1 2 3.81000-28 1 3 4.52500-24 2 3 4.33750-38 1 3 4.1404
Controls A=2 K=10-8 2 3 3.02750-10 3 3 2.80000-8 3 3 3.04500-10 2 3 3.12750-12 3 3 3.0000
High-card points0-22 9 10 10.10500-23 9 10 9.60501-23 10 10 10.06251-25 10 10 10.22750-37 10 10 10.0000
Total points1-23 10 11 11.40501-25 10 11 10.88752-24 11 11 11.42752-27 11 11 11.64250-38 11 11 11.3682
Playing half-tricks3-20 10 10 10.54502-24 9 10 10.31754-22 10 11 10.84503-20 11 11 10.95252-26 10 11 10.7371
Quick half-tricks0-11 2 3 3.59250-12 4 3 3.28500-10 3 3 3.55250-12 4 4 3.70000-16 2 3 3.5563
Losing trick count3-11 8 8 7.60751-12 8 8 7.74002-11 8 8 7.50503-11 7 7 7.47250-12 8 8 7.5566
Long suit length4-8 5 5 4.82004-8 5 5 4.83004-8 5 5 4.98504-8 5 5 4.97004-13 5 5 4.9008
Short suit length0-3 2 2 1.78250-3 2 2 1.75000-3 2 2 1.69500-3 2 2 1.69250-3 2 2 1.6977
Suit controls1-19 9 9 8.81750-26 7 8 8.39501-20 8 9 9.14001-22 8 9 9.23500-28 9 9 8.9418
Suit guards1-8 6 6 5.31501-8 6 5 5.15502-8 6 5 5.18502-8 6 5 5.21750-8 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
Voids0-1 0 0 0.02990-2 0 0 0.05720-2 0 0 0.07000-1 0 0 0.05000-3 0 0 0.0512
Singletons0-2 0 0 0.30250-2 0 0 0.26750-2 0 0 0.32500-2 0 0 0.34250-3 0 0 0.3202
Doubletons0-3 1 1 0.83250-3 1 1 0.85000-3 1 1 0.79500-3 1 1 0.82750-3 1 1 0.8235
Tripletons0-3 1 1 1.18500-3 1 1 1.16250-3 1 1 1.19500-3 1 1 1.14000-3 1 1 1.1453
4 card suits0-3 1 1 1.00750-3 1 1 1.00750-3 1 1 0.89000-3 1 1 0.89250-3 1 1 0.9544
5 card suits0-2 0 0 0.46750-2 0 0 0.49750-2 0 0 0.47000-2 0 0 0.51500-2 0 0 0.4988
6 card suits0-1 0 0 0.15250-1 0 0 0.11750-2 0 0 0.20000-1 0 0 0.19500-2 0 0 0.1663
7 card suits0-1 0 0 0.02500-1 0 0 0.03750-1 0 0 0.05000-1 0 0 0.03250-1 0 0 0.0353
8 card suits0-1 0 0 0.00250-1 0 0 0.00750-1 0 0 0.00500-1 0 0 0.00500-1 0 0 0.0047
9 card suits0-1 0 0 0.0004
10 card suits0-1 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
Aces0-3 1 1 1.01500-4 1 1 0.89500-3 1 1 1.02000-4 1 1 1.07000-4 1 1 1.0000
Kings0-3 1 1 0.99750-4 1 1 1.01000-3 1 1 1.00500-4 1 1 0.98750-4 1 1 1.0000
Queens0-4 1 1 1.03250-3 1 1 0.98750-4 1 1 0.99250-3 1 1 0.98750-4 1 1 1.0000
Jacks0-4 1 1 0.98750-4 1 1 1.02000-4 1 1 0.98250-3 1 1 1.01000-4 1 1 1.0000
Tens0-3 1 1 0.99750-4 1 1 1.00000-3 1 1 0.99500-3 1 1 1.00750-4 1 1 1.0000
Nines0-4 1 1 0.98500-3 1 1 1.03500-4 1 1 1.01250-3 1 1 0.96750-4 1 1 1.0000
Eights0-4 1 1 0.96000-3 1 1 0.99250-4 1 1 1.11000-4 1 1 0.93750-4 1 1 1.0000
Sevens0-3 1 1 0.96250-4 1 1 1.03000-4 1 1 0.99000-4 1 1 1.01750-4 1 1 1.0000
Sixes0-4 1 1 1.03750-3 1 1 0.97500-3 1 1 1.00750-4 1 1 0.98000-4 1 1 1.0000
Fives0-4 1 1 1.00250-4 1 1 1.03000-4 1 1 0.98750-4 1 1 0.98000-4 1 1 1.0000
Fours0-4 1 1 1.09250-3 1 1 0.96250-3 1 1 1.00000-4 1 1 0.94500-4 1 1 1.0000
Threes0-4 1 1 0.93750-4 1 1 1.03750-4 1 1 0.92500-3 1 1 1.10000-4 1 1 1.0000
Twos0-4 1 1 0.99250-4 1 1 1.02500-4 1 1 0.97250-4 1 1 1.01000-4 1 1 1.0000

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Specific Suits

  Statistic  NorthSouthWestEastTheoretical
s length0-7 3 3 3.20750-8 3 3 3.16000-8 3 3 3.30000-7 3 3 3.33250-13 10 10 3.2500
h length0-8 4 3 3.28500-7 3 3 3.20000-8 3 3 3.27500-8 3 3 3.24000-13 10 10 3.2500
d length0-7 3 3 3.27000-7 3 3 3.38750-7 3 3 3.08000-7 3 3 3.26250-13 10 10 3.2500
c length0-7 3 3 3.23750-7 3 3 3.25250-7 3 3 3.34500-8 3 3 3.16500-13 10 10 3.2500
s quality0-122 0 25 34.05750-122 0 17 27.68250-120 0 20 31.68250-120 0 24 33.57750-127 0 20 31.7500
h quality0-120 0 20 32.13750-120 0 20 31.94000-116 0 18 30.64250-121 0 18 32.28000-127 0 20 31.7500
d quality0-120 0 20 31.99000-118 0 20 31.07500-120 0 20 32.33750-116 0 20 31.59750-127 0 20 31.7500
c quality0-112 0 18 30.03500-117 0 18 29.92500-124 0 24 33.63250-112 0 24 33.40750-127 0 20 31.7500
s x-cards0-58 0 8 14.24000-60 0 12 16.78000-60 0 12 16.02750-57 0 10 15.95250-63 0 10 15.7500
h x-cards0-58 0 11 16.08750-59 0 9 15.59000-62 0 12 16.13000-56 0 9 15.19250-63 0 10 15.7500
d x-cards0-62 0 12 15.84500-57 0 11 16.51250-62 0 8 14.22250-63 0 10 16.42000-63 0 10 15.7500
c x-cards0-57 0 12 16.48500-58 0 9 14.86750-63 0 10 16.14250-62 0 9 15.50500-63 0 10 15.7500
s half-tricks0-12 0 2 2.65250-15 0 2 2.37500-13 0 2 2.73000-13 0 2 2.90250-26 0 2 2.6843
h half-tricks0-14 0 2 2.72500-13 0 2 2.59500-14 0 2 2.70250-16 0 2 2.72500-26 0 2 2.6843
d half-tricks0-14 0 2 2.61500-12 0 2 2.79000-13 0 2 2.48500-12 0 2 2.69250-26 0 2 2.6843
c half-tricks0-11 0 2 2.55250-13 0 2 2.55750-14 0 2 2.92750-14 0 2 2.63250-26 0 2 2.6843
s control0-7 1 2 2.34250-7 1 1 1.96750-7 1 2 2.22750-7 1 2 2.31750-7 1 2 2.2354
h control0-7 1 1 2.21000-7 0 2 2.31000-7 1 2 2.18750-7 0 2 2.29750-7 1 2 2.2354
d control0-7 0 2 2.13250-7 1 1 2.03250-7 1 2 2.44250-7 1 2 2.20750-7 1 2 2.2354
c control0-7 1 2 2.13250-7 1 1 2.08500-7 1 2 2.28250-7 1 2 2.41250-7 1 2 2.2354
s guard0-2 2 2 1.38750-2 2 2 1.23500-2 2 2 1.28750-2 2 2 1.34250-2 2 2 1.2938
h guard0-2 2 2 1.33500-2 2 2 1.27750-2 2 2 1.27750-2 2 2 1.26500-2 2 2 1.2938
d guard0-2 2 2 1.33000-2 2 2 1.35250-2 2 2 1.25750-2 2 2 1.30000-2 2 2 1.2938
c guard0-2 2 2 1.26250-2 2 2 1.29000-2 2 2 1.36250-2 2 2 1.31000-2 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
4-4-3-224.000025.000016.750015.250021.5512
5-3-3-216.000015.750015.000015.750015.5168
5-4-3-112.500013.250013.000014.500012.9307
5-4-2-210.250010.750010.500011.750010.5797
4-3-3-312.250010.750013.250011.500010.5361
6-3-2-25.25006.25007.25008.00005.6425
6-4-2-15.50002.00005.25006.00004.7021
6-3-3-13.00002.25003.50002.50003.4482
5-5-2-13.00003.25002.00002.00003.1739
4-4-4-12.75002.75002.50003.75002.9932
7-3-2-11.00001.25002.00001.50001.8808
6-4-3-00.75000.75001.25001.00001.3262
5-4-4-01.25002.00001.75001.00001.2433
5-5-3-00.25000.25001.25000.8952
6-5-1-10.50000.25001.00001.25000.7053
6-5-2-00.25000.25001.00000.75000.6511
7-2-2-20.75000.75000.25000.50000.5130
7-4-1-10.50000.50000.50000.50000.3918
7-4-2-00.25000.50000.75000.25000.3617
7-3-3-00.50001.00000.50000.2652
8-2-2-10.25000.25000.1924
8-3-1-10.25000.25000.25000.1176
7-5-1-00.25000.25000.1085
8-3-2-00.25000.25000.1085
6-6-1-00.25000.0723
8-4-1-00.0452
9-2-1-10.0178
9-3-1-00.0100
9-2-2-00.0082
7-6-0-00.25000.0056
8-5-0-00.25000.0031
10-2-1-00.0011
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 A28.250019.500026.000026.250025.0000
H A25.250025.250023.500026.000025.0000
D A25.250021.750027.250025.750025.0000
C A22.750023.000025.250029.000025.0000
S K25.750023.000023.000028.250025.0000
H K23.500027.250024.000025.250025.0000
D K25.250028.000024.750022.000025.0000
C K25.250022.750028.750023.250025.0000
S Q24.750025.500024.250025.500025.0000
H Q30.250020.500026.250023.000025.0000
D Q25.000026.250022.000026.750025.0000
C Q23.250026.500026.750023.500025.0000
S J25.500024.250026.500023.750025.0000
H J22.500026.750023.750027.000025.0000
D J25.750026.750021.750025.750025.0000
C J25.000024.250026.250024.500025.0000
S 1025.250027.250021.750025.750025.0000
H 1028.000021.750026.000024.250025.0000
D 1024.750025.500024.750025.000025.0000
C 1021.750025.500027.000025.750025.0000
S 923.500024.000026.250026.250025.0000
H 924.250027.750024.000024.000025.0000
D 922.500030.000022.250025.250025.0000
C 928.250021.750028.750021.250025.0000
S 825.750025.250028.750020.250025.0000
H 821.250021.500030.250027.000025.0000
D 825.000023.500028.250023.250025.0000
C 824.000029.000023.750023.250025.0000
S 722.250028.250024.500025.000025.0000
H 725.750024.250024.750025.250025.0000
D 722.500027.250023.250027.000025.0000
C 725.750023.250026.500024.500025.0000
S 621.250025.000027.250026.500025.0000
H 624.750026.250027.250021.750025.0000
D 631.000024.250020.750024.000025.0000
C 626.750022.000025.500025.750025.0000
S 522.750027.500025.750024.000025.0000
H 526.750024.250026.750022.250025.0000
D 524.000025.500023.000027.500025.0000
C 526.750025.750023.250024.250025.0000
S 430.750021.750025.000022.500025.0000
H 425.250022.250026.250026.250025.0000
D 425.000026.750023.000025.250025.0000
C 428.250025.500025.750020.500025.0000
S 322.000022.250025.750030.000025.0000
H 322.750027.750021.250028.250025.0000
D 325.500027.000023.250024.250025.0000
C 323.500026.750022.250027.500025.0000
S 223.000022.500025.250029.250025.0000
H 228.250024.500023.500023.750025.0000
D 225.500026.250023.750024.500025.0000
C 222.500029.250024.750023.500025.0000

Card location is shown by percent.

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Double-Dummy

  Statistic  NorthSouthWestEastTheoretical
Spade make0-13 6 6 5.97000-13 6 6 5.96750-12 7 7 6.65500-12 8 7 6.62500-13 6 6 6.296?
Heart make0-12 6 6 6.03500-12 6 6 6.03500-13 6 7 6.57750-13 6 7 6.57750-13 6 6 6.296?
Diamond make0-13 5 6 6.19500-13 5 6 6.19250-13 7 7 6.37250-13 7 7 6.39000-13 6 6 6.296?
Club make0-12 7 6 6.02250-12 7 6 6.01250-13 6 6 6.61250-13 6 6 6.61750-13 6 6 6.296?
Longest fit length7-12 8 8 8.33007-12 8 8 8.33007-11 8 8 8.32507-11 8 8 8.32507-13 8 8 8.3512
Longest fit make2-13 8 8 8.06952-13 8 8 8.06202-13 9 9 8.50122-13 9 9 8.49880-13 9 8 8.375?
Best fit length7-12 8 8 8.31506-12 8 8 8.30507-11 8 8 8.31757-11 8 8 8.31255-13 8 8 8.333?
Best fit make2-13 8 8 8.11753-13 8 8 8.11752-13 9 9 8.61752-13 9 9 8.61750-13 9 8 8.394?
Notrump make0-12 6 6 5.75500-12 7 6 5.73250-13 7 6 6.30000-13 7 6 6.28250-13 6 6 6.006?
Highest makable10-64 38 39 38.750012-64 38 38 38.720010-65 44 42 41.220010-65 39 42 41.16250-65 44 40 40.092?
Best score makable0-65 0 11 17.32720-65 0 11 17.57330-65 0 11 19.19780-65 0 11 19.24230-65 44 40 39.976?
On-lead makable12-65 38 40 40.604412-65 38 40 40.523314-65 44 43 42.465414-65 44 43 42.38420-65 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 plus184 46.0000216 54.0000400 100.0000
Deals making152 38.0000182 45.5000334 83.5000
Deals setting32 8.000034 8.500066 16.5000
Contracts plus34-64 44 48 47.842434-65 44 48 48.713034-65 44 48 48.3125
Contracts making34-64 44 47 47.546134-65 44 49 48.637434-65 44 48 48.1407
Contracts setting40-61 49 49 49.250040-63 44 48 49.117640-63 44 49 49.1818
Scores plus80-2210 140 400 389.728380-1520 140 400 452.963080-2210 140 400 423.8750
Scores making80-2210 140 420 407.302680-1520 140 420 478.241880-2210 140 420 445.9581
Scores setting100-1400 100 200 306.2500100-1400 100 100 317.6471100-1400 100 100 312.1212

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 trumps44 11.00002-11 7 7 6.84092-11 9 8 7.613613-16 14 14 14.4545
15 total trumps38 9.50004-10 7 7 6.76325-12 9 8 8.447413-17 15 15 15.2105
16 total trumps122 30.50004-12 9 8 8.07383-12 8 8 8.172114-19 16 16 16.2459
17 total trumps92 23.00003-12 8 8 8.07614-13 9 9 9.021715-20 17 17 17.0978
18 total trumps48 12.00005-12 8 9 9.04176-12 9 9 8.625015-20 17 17 17.6667
19 total trumps34 8.50005-12 10 9 8.88247-13 9 10 9.823517-23 19 19 18.7059
20 total trumps14 3.50006-13 11 11 10.21436-12 10 9 9.285718-21 19 19 19.5000
21 total trumps6 1.50008-13 8 9 9.83339-12 10 10 10.666719-22 20 20 20.5000
22 total trumps2 0.50009-11 9 9 10.00009-12 9 9 10.500020-21 20 20 20.5000
23 total trumps
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 400 Deals

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© 2016 Richard Pavlicek