Main Stats 8H12 by Richard Pavlicek

Club Length 0-13

Statistics for 10,485,760 Deals

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	North	South	West	East	Theoretical
Hand freakness	0-16 1 3 2.9833	0-16 1 3 2.9830	0-16 1 3 2.9834	0-16 1 3 2.9820	0-20 1 3 2.9829
Generic pattern	0-35 1 3 4.1414	0-36 1 3 4.1413	0-36 1 3 4.1414	0-36 1 3 4.1386	0-38 1 3 4.1404
Controls A=2 K=1	0-12 3 3 3.0001	0-12 3 3 2.9992	0-12 3 3 3.0010	0-12 3 3 2.9997	0-12 3 3 3.0000
High-card points	0-33 10 10 10.0001	0-33 10 10 9.9989	0-32 10 10 10.0021	0-33 10 10 9.9990	0-37 10 10 10.0000
Total points	0-35 11 11 11.3682	0-34 11 11 11.3671	0-34 11 11 11.3707	0-35 11 11 11.3669	0-38 11 11 11.3682
Playing half-tricks	2-26 10 11 10.7373	2-26 10 11 10.7363	2-26 10 11 10.7388	2-26 10 11 10.7357	2-26 10 11 10.7371
Quick half-tricks	0-16 2 3 3.5564	0-16 2 3 3.5556	0-16 2 3 3.5574	0-16 2 3 3.5561	0-16 2 3 3.5563
Losing trick count	0-12 8 8 7.5565	0-12 8 8 7.5567	0-12 8 8 7.5556	0-12 8 8 7.5573	0-12 8 8 7.5566
Long suit length	4-11 5 5 4.9009	4-11 5 5 4.9008	4-11 5 5 4.9011	4-11 5 5 4.9005	4-13 5 5 4.9008
Short suit length	0-3 2 2 1.6975	0-3 2 2 1.6976	0-3 2 2 1.6978	0-3 2 2 1.6981	0-3 2 2 1.6977
Suit controls	0-28 9 9 8.9422	0-28 9 9 8.9412	0-28 9 9 8.9437	0-28 9 9 8.9404	0-28 9 9 8.9418
Suit guards	0-8 6 5 5.1752	0-8 6 5 5.1747	0-8 6 5 5.1759	0-8 6 5 5.1749	0-8 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	North	South	West	East	Theoretical
Voids	0-2 0 0 0.0512	0-2 0 0 0.0513	0-2 0 0 0.0511	0-2 0 0 0.0511	0-3 0 0 0.0512
Singletons	0-3 0 0 0.3203	0-3 0 0 0.3201	0-3 0 0 0.3204	0-3 0 0 0.3200	0-3 0 0 0.3202
Doubletons	0-3 1 1 0.8236	0-3 1 1 0.8233	0-3 1 1 0.8238	0-3 1 1 0.8238	0-3 1 1 0.8235
Tripletons	0-3 1 1 1.1452	0-3 1 1 1.1456	0-3 1 1 1.1451	0-3 1 1 1.1453	0-3 1 1 1.1453
4 card suits	0-3 1 1 0.9544	0-3 1 1 0.9544	0-3 1 1 0.9542	0-3 1 1 0.9546	0-3 1 1 0.9544
5 card suits	0-2 0 0 0.4986	0-2 0 0 0.4986	0-2 0 0 0.4986	0-2 0 0 0.4986	0-2 0 0 0.4988
6 card suits	0-2 0 0 0.1665	0-2 0 0 0.1664	0-2 0 0 0.1665	0-2 0 0 0.1663	0-2 0 0 0.1663
7 card suits	0-1 0 0 0.0353	0-1 0 0 0.0352	0-1 0 0 0.0353	0-1 0 0 0.0352	0-1 0 0 0.0353
8 card suits	0-1 0 0 0.0047	0-1 0 0 0.0047	0-1 0 0 0.0047	0-1 0 0 0.0046	0-1 0 0 0.0047
9 card suits	0-1 0 0 0.0004	0-1 0 0 0.0004	0-1 0 0 0.0004	0-1 0 0 0.0004	0-1 0 0 0.0004
10 card suits	0-1 0 0 0.0000	0-1 0 0 0.0000	0-1 0 0 0.0000	0-1 0 0 0.0000	0-1 0 0 0.0000
11 card suits	0-1 0 0 0.0000	0-1 0 0 0.0000	0-1 0 0 0.0000	0-1 0 0 0.0000	0-1 0 0 0.0000
12 card suits					0-1 0 0 0.0000
13 card suits					0-1 0 0 0.0000

Gray cell = nonexistent; 0.0000 = exists but nearest 10,000th rounds to zero.

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Specific Ranks

Statistic	North	South	West	East	Theoretical
Aces	0-4 1 1 1.0001	0-4 1 1 0.9998	0-4 1 1 1.0002	0-4 1 1 0.9999	0-4 1 1 1.0000
Kings	0-4 1 1 0.9998	0-4 1 1 0.9996	0-4 1 1 1.0006	0-4 1 1 0.9999	0-4 1 1 1.0000
Queens	0-4 1 1 1.0001	0-4 1 1 1.0004	0-4 1 1 0.9998	0-4 1 1 0.9997	0-4 1 1 1.0000
Jacks	0-4 1 1 1.0000	0-4 1 1 1.0000	0-4 1 1 0.9998	0-4 1 1 1.0002	0-4 1 1 1.0000
Tens	0-4 1 1 1.0000	0-4 1 1 0.9998	0-4 1 1 1.0002	0-4 1 1 1.0000	0-4 1 1 1.0000
Nines	0-4 1 1 0.9999	0-4 1 1 1.0002	0-4 1 1 1.0000	0-4 1 1 1.0000	0-4 1 1 1.0000
Eights	0-4 1 1 1.0006	0-4 1 1 1.0002	0-4 1 1 0.9998	0-4 1 1 0.9993	0-4 1 1 1.0000
Sevens	0-4 1 1 0.9999	0-4 1 1 1.0002	0-4 1 1 1.0000	0-4 1 1 0.9999	0-4 1 1 1.0000
Sixes	0-4 1 1 1.0003	0-4 1 1 0.9999	0-4 1 1 0.9995	0-4 1 1 1.0003	0-4 1 1 1.0000
Fives	0-4 1 1 0.9999	0-4 1 1 1.0001	0-4 1 1 1.0001	0-4 1 1 0.9999	0-4 1 1 1.0000
Fours	0-4 1 1 0.9997	0-4 1 1 0.9998	0-4 1 1 1.0000	0-4 1 1 1.0005	0-4 1 1 1.0000
Threes	0-4 1 1 0.9996	0-4 1 1 1.0001	0-4 1 1 1.0001	0-4 1 1 1.0001	0-4 1 1 1.0000
Twos	0-4 1 1 1.0000	0-4 1 1 0.9998	0-4 1 1 1.0000	0-4 1 1 1.0002	0-4 1 1 1.0000

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Specific Suits

Statistic	North	South	West	East	Theoretical
length	0-11 3 3 3.2497	0-10 3 3 3.2498	0-10 3 3 3.2499	0-11 3 3 3.2506	0-13 10 10 3.2500
length	0-11 3 3 3.2503	0-11 3 3 3.2496	0-11 3 3 3.2507	0-11 3 3 3.2494	0-13 10 10 3.2500
length	0-10 3 3 3.2498	0-11 3 3 3.2500	0-11 3 3 3.2494	0-11 3 3 3.2508	0-13 10 10 3.2500
length	0-10 3 3 3.2502	0-10 3 3 3.2506	0-11 3 3 3.2500	0-10 3 3 3.2492	0-13 10 10 3.2500
quality	0-127 0 20 31.7453	0-127 0 20 31.7448	0-127 0 20 31.7550	0-127 0 20 31.7549	0-127 0 20 31.7500
quality	0-127 0 20 31.7528	0-127 0 20 31.7369	0-127 0 20 31.7782	0-127 0 20 31.7321	0-127 0 20 31.7500
quality	0-127 0 20 31.7605	0-127 0 20 31.7419	0-127 0 20 31.7357	0-127 0 20 31.7618	0-127 0 20 31.7500
quality	0-127 0 20 31.7449	0-127 0 20 31.7568	0-127 0 20 31.7592	0-127 0 20 31.7392	0-127 0 20 31.7500
x-cards	0-63 0 10 15.7494	0-63 0 10 15.7510	0-63 0 10 15.7452	0-63 0 10 15.7544	0-63 0 10 15.7500
x-cards	0-63 0 10 15.7513	0-63 0 10 15.7530	0-63 0 10 15.7475	0-63 0 10 15.7481	0-63 0 10 15.7500
x-cards	0-63 0 10 15.7446	0-63 0 10 15.7477	0-63 0 10 15.7532	0-63 0 10 15.7545	0-63 0 10 15.7500
x-cards	0-63 0 10 15.7555	0-63 0 10 15.7539	0-63 0 10 15.7452	0-63 0 10 15.7453	0-63 0 10 15.7500
half-tricks	0-22 0 2 2.6837	0-20 0 2 2.6835	0-20 0 2 2.6846	0-22 0 2 2.6849	0-26 0 2 2.6843
half-tricks	0-22 0 2 2.6846	0-22 0 2 2.6828	0-22 0 2 2.6865	0-22 0 2 2.6825	0-26 0 2 2.6843
half-tricks	0-20 0 2 2.6844	0-22 0 2 2.6841	0-22 0 2 2.6827	0-22 0 2 2.6860	0-26 0 2 2.6843
half-tricks	0-20 0 2 2.6845	0-20 0 2 2.6860	0-22 0 2 2.6849	0-20 0 2 2.6823	0-26 0 2 2.6843
control	0-7 1 2 2.2355	0-7 1 2 2.2354	0-7 1 2 2.2357	0-7 1 2 2.2351	0-7 1 2 2.2354
control	0-7 1 2 2.2353	0-7 1 2 2.2349	0-7 1 2 2.2367	0-7 1 2 2.2346	0-7 1 2 2.2354
control	0-7 1 2 2.2361	0-7 1 2 2.2350	0-7 1 2 2.2352	0-7 1 2 2.2356	0-7 1 2 2.2354
control	0-7 1 2 2.2353	0-7 1 2 2.2358	0-7 1 2 2.2362	0-7 1 2 2.2351	0-7 1 2 2.2354
guard	0-2 2 2 1.2935	0-2 2 2 1.2935	0-2 2 2 1.2942	0-2 2 2 1.2940	0-2 2 2 1.2938
guard	0-2 2 2 1.2940	0-2 2 2 1.2937	0-2 2 2 1.2946	0-2 2 2 1.2932	0-2 2 2 1.2938
guard	0-2 2 2 1.2938	0-2 2 2 1.2935	0-2 2 2 1.2932	0-2 2 2 1.2943	0-2 2 2 1.2938
guard	0-2 2 2 1.2939	0-2 2 2 1.2940	0-2 2 2 1.2939	0-2 2 2 1.2934	0-2 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	North	South	West	East	Theoretical
4-4-3-2	21.5546	21.5506	21.5564	21.5616	21.5512
5-3-3-2	15.5107	15.5155	15.4990	15.4909	15.5168
5-4-3-1	12.9268	12.9281	12.9309	12.9302	12.9307
5-4-2-2	10.5642	10.5664	10.5817	10.5927	10.5797
4-3-3-3	10.5318	10.5436	10.5356	10.5478	10.5361
6-3-2-2	5.6586	5.6469	5.6538	5.6569	5.6425
6-4-2-1	4.7060	4.6990	4.7035	4.7044	4.7021
6-3-3-1	3.4468	3.4515	3.4479	3.4487	3.4482
5-5-2-1	3.1784	3.1718	3.1744	3.1731	3.1739
4-4-4-1	2.9968	2.9927	2.9854	2.9852	2.9932
7-3-2-1	1.8793	1.8777	1.8828	1.8724	1.8808
6-4-3-0	1.3305	1.3303	1.3280	1.3243	1.3262
5-4-4-0	1.2421	1.2445	1.2357	1.2398	1.2433
5-5-3-0	0.8930	0.8986	0.8927	0.8991	0.8952
6-5-1-1	0.7047	0.7047	0.7132	0.7001	0.7053
6-5-2-0	0.6541	0.6524	0.6538	0.6517	0.6511
7-2-2-2	0.5124	0.5132	0.5157	0.5117	0.5130
7-4-1-1	0.3926	0.3885	0.3924	0.3927	0.3918
7-4-2-0	0.3607	0.3669	0.3617	0.3635	0.3617
7-3-3-0	0.2653	0.2659	0.2657	0.2652	0.2652
8-2-2-1	0.1926	0.1933	0.1926	0.1923	0.1924
8-3-1-1	0.1155	0.1164	0.1173	0.1188	0.1176
7-5-1-0	0.1095	0.1067	0.1085	0.1087	0.1085
8-3-2-0	0.1094	0.1079	0.1084	0.1071	0.1085
6-6-1-0	0.0719	0.0735	0.0716	0.0713	0.0723
8-4-1-0	0.0447	0.0467	0.0448	0.0439	0.0452
9-2-1-1	0.0174	0.0175	0.0172	0.0173	0.0178
9-3-1-0	0.0099	0.0098	0.0105	0.0096	0.0100
9-2-2-0	0.0083	0.0082	0.0078	0.0081	0.0082
7-6-0-0	0.0054	0.0056	0.0055	0.0055	0.0056
8-5-0-0	0.0033	0.0032	0.0027	0.0029	0.0031
10-2-1-0	0.0012	0.0012	0.0012	0.0011	0.0011
9-4-0-0	0.0008	0.0009	0.0010	0.0011	0.0010
10-1-1-1	0.0004	0.0004	0.0003	0.0005	0.0004
10-3-0-0	0.0002	0.0002	0.0002	0.0001	0.0002
11-1-1-0	0.0000	0.0000	0.0000	0.0000	0.0000
11-2-0-0		0.0000	0.0000	0.0000	0.0000
12-1-0-0					0.0000
13-0-0-0					0.0000

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

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Specific Cards

Statistic	North	South	West	East	Theoretical
A	25.0002	25.0002	24.9925	25.0071	25.0000
A	25.0018	24.9938	25.0171	24.9872	25.0000
A	25.0110	24.9882	24.9969	25.0040	25.0000
A	24.9986	24.9951	25.0122	24.9942	25.0000
K	24.9896	24.9872	25.0257	24.9975	25.0000
K	24.9980	24.9664	25.0459	24.9897	25.0000
K	25.0053	24.9911	24.9868	25.0168	25.0000
K	24.9909	25.0189	25.0057	24.9845	25.0000
Q	24.9881	25.0031	25.0117	24.9972	25.0000
Q	25.0115	25.0099	25.0159	24.9627	25.0000
Q	25.0094	25.0072	24.9616	25.0218	25.0000
Q	24.9981	25.0213	24.9896	24.9909	25.0000
J	25.0054	24.9858	24.9981	25.0107	25.0000
J	25.0043	25.0019	24.9885	25.0054	25.0000
J	24.9982	25.0148	24.9776	25.0094	25.0000
J	24.9880	25.0019	25.0176	24.9924	25.0000
10	24.9986	24.9876	24.9919	25.0218	25.0000
10	25.0037	24.9940	25.0159	24.9863	25.0000
10	25.0019	24.9980	25.0060	24.9942	25.0000
10	24.9994	24.9968	25.0021	25.0017	25.0000
9	24.9881	24.9942	25.0210	24.9966	25.0000
9	24.9954	25.0020	25.0094	24.9932	25.0000
9	25.0177	24.9995	24.9853	24.9975	25.0000
9	24.9841	25.0221	24.9809	25.0129	25.0000
8	25.0257	25.0087	24.9759	24.9897	25.0000
8	25.0055	25.0041	25.0057	24.9847	25.0000
8	25.0009	25.0093	24.9942	24.9957	25.0000
8	25.0317	24.9982	25.0062	24.9638	25.0000
7	24.9977	25.0009	24.9915	25.0098	25.0000
7	24.9974	25.0155	25.0019	24.9852	25.0000
7	24.9870	24.9885	25.0132	25.0112	25.0000
7	25.0124	25.0165	24.9897	24.9814	25.0000
6	25.0019	25.0057	24.9816	25.0108	25.0000
6	25.0173	24.9882	24.9844	25.0101	25.0000
6	25.0081	24.9991	24.9909	25.0019	25.0000
6	25.0050	24.9985	24.9894	25.0071	25.0000
5	25.0089	24.9961	25.0097	24.9853	25.0000
5	24.9963	25.0015	24.9994	25.0028	25.0000
5	24.9774	25.0268	24.9973	24.9984	25.0000
5	25.0079	24.9878	25.0014	25.0029	25.0000
4	24.9890	24.9920	25.0099	25.0090	25.0000
4	24.9922	25.0053	24.9829	25.0197	25.0000
4	24.9906	24.9939	25.0034	25.0121	25.0000
4	25.0029	24.9870	25.0040	25.0060	25.0000
3	24.9772	25.0215	24.9832	25.0180	25.0000
3	24.9967	24.9886	25.0114	25.0034	25.0000
3	24.9873	24.9835	25.0220	25.0072	25.0000
3	24.9996	25.0183	24.9963	24.9858	25.0000
2	25.0005	24.9977	25.0003	25.0015	25.0000
2	25.0061	24.9875	24.9941	25.0123	25.0000
2	24.9873	24.9972	25.0029	25.0127	25.0000
2	25.0021	25.0010	25.0011	24.9958	25.0000

Card location is shown by percent.

Statistics for 10,485,760 Deals

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