Main   Stats 8H30 by Richard Pavlicek  

IMP Matches thru 10-21-19

Double-dummy stats for 11,398 deals

Each table lists all possible values for each statistic, with the number of occurrences and percent for each hand (or specified circumstance). The most frequent occurrence (mode) is tinted gold, the second-most paler gold, and the third-most even paler. The bottom line shows the number of unique values (U), the total number of occurrences, and the average (mean) value.

M

sm

hm

dm

cm

lf

lm

bf

bm

H

O

B

Par Z N E B

LoTT 14 15 16 17 18 19 20 21 22 23 24 25

The last column in the first 12 tables shows the expected occurrence and percent of each value. “Theoretical” means it is mathematically determined and exact. “Empirical” means it is estimated from actual evidence, which for double-dummy results is the only way possible.

Percents and averages are rounded to four decimal places, unless zero, which is shown as a single digit. Hence 0.0000 percent is greater than zero but simply rounds that way to the nearest 10,000th.

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Notrump make = M

Value	North	South	West	East	Empirical
0	208  1.8249	206  1.8073	155  1.3599	157  1.3774	9913593383  1.5612
1	447  3.9217	441  3.8691	429  3.7638	435  3.8165	23145762677  3.6449
2	695  6.0976	713  6.2555	646  5.6677	640  5.6150	37977932067  5.9806
3	935  8.2032	939  8.2383	960  8.4225	947  8.3085	52871069846  8.3260
4	1229 10.7826	1227 10.7650	1163 10.2035	1167 10.2386	67524194742 10.6335
5	1403 12.3092	1389 12.1863	1462 12.8268	1463 12.8356	80101714628 12.6142
6	1607 14.0990	1594 13.9849	1673 14.6780	1683 14.7657	90730441332 14.2880
7	1517 13.3094	1506 13.2128	1457 12.7829	1479 12.9760	84402158672 13.2914
8	1281 11.2388	1307 11.4669	1269 11.1335	1256 11.0195	71237104568 11.2182
9	882  7.7382	867  7.6066	863  7.5715	870  7.6329	47702049563  7.5120
10	574  5.0360	593  5.2027	595  5.2202	578  5.0711	32569065440  5.1289
11	337  2.9567	335  2.9391	374  3.2813	383  3.3602	20600866092  3.2442
12	211  1.8512	210  1.8424	256  2.2460	244  2.1407	11865157167  1.8685
13	72  0.6317	71  0.6229	96  0.8423	96  0.8423	4372449423  0.6886
U = 14	11398  5.9603	11398  5.9624	11398  6.0627	11398  6.0569	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	126  1.1055	129  1.1318	104  0.9124	104  0.9124	6949893015  1.0944
1	327  2.8689	322  2.8251	347  3.0444	350  3.0707	17646817412  2.7790
2	625  5.4834	614  5.3869	547  4.7991	542  4.7552	32992452829  5.1956
3	888  7.7908	893  7.8347	899  7.8873	914  8.0190	50476652542  7.9489
4	1186 10.4053	1193 10.4667	1212 10.6334	1211 10.6247	66372975438 10.4522
5	1335 11.7126	1349 11.8354	1456 12.7742	1448 12.7040	77821925315 12.2552
6	1458 12.7917	1439 12.6250	1502 13.1778	1497 13.1339	82551854345 13.0000
7	1519 13.3269	1517 13.3094	1381 12.1162	1386 12.1600	80760822737 12.7180
8	1344 11.7915	1356 11.8968	1275 11.1862	1280 11.2300	73465633954 11.5691
9	1067  9.3613	1054  9.2472	1079  9.4666	1082  9.4929	60489162482  9.5256
10	793  6.9574	800  7.0188	809  7.0977	793  6.9574	43661750688  6.8757
11	456  4.0007	461  4.0446	495  4.3429	507  4.4481	26377787548  4.1539
12	228  2.0004	227  1.9916	232  2.0354	221  1.9389	12128527136  1.9100
13	46  0.4036	44  0.3860	60  0.5264	63  0.5527	3317304159  0.5224
U = 14	11398  6.2885	11398  6.2906	11398  6.3129	11398  6.3081	635013559600  6.2957

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Heart make = hm

Value	North	South	West	East	Empirical
0	139  1.2195	137  1.2020	123  1.0791	119  1.0440	6949893015  1.0944
1	340  2.9830	344  3.0181	329  2.8865	330  2.8952	17646817412  2.7790
2	636  5.5799	635  5.5712	590  5.1763	585  5.1325	32992452829  5.1956
3	920  8.0716	922  8.0891	876  7.6856	880  7.7207	50476652542  7.9489
4	1185 10.3966	1188 10.4229	1182 10.3702	1184 10.3878	66372975438 10.4522
5	1396 12.2478	1396 12.2478	1397 12.2565	1397 12.2565	77821925315 12.2552
6	1477 12.9584	1463 12.8356	1429 12.5373	1420 12.4583	82551854345 13.0000
7	1408 12.3530	1412 12.3881	1443 12.6601	1468 12.8795	80760822737 12.7180
8	1291 11.3265	1303 11.4318	1317 11.5547	1301 11.4143	73465633954 11.5691
9	1067  9.3613	1053  9.2385	1092  9.5806	1113  9.7649	60489162482  9.5256
10	783  6.8696	787  6.9047	807  7.0802	790  6.9310	43661750688  6.8757
11	480  4.2113	489  4.2902	500  4.3867	506  4.4394	26377787548  4.1539
12	217  1.9038	209  1.8337	239  2.0969	231  2.0267	12128527136  1.9100
13	59  0.5176	60  0.5264	74  0.6492	74  0.6492	3317304159  0.5224
U = 14	11398  6.2486	11398  6.2478	11398  6.3423	11398  6.3416	635013559600  6.2957

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Diamond make = dm

Value	North	South	West	East	Empirical
0	149  1.3072	149  1.3072	98  0.8598	101  0.8861	6949893015  1.0944
1	310  2.7198	312  2.7373	333  2.9216	323  2.8338	17646817412  2.7790
2	588  5.1588	589  5.1676	553  4.8517	555  4.8693	32992452829  5.1956
3	965  8.4664	961  8.4313	867  7.6066	869  7.6241	50476652542  7.9489
4	1171 10.2737	1173 10.2913	1200 10.5282	1201 10.5369	66372975438 10.4522
5	1306 11.4582	1316 11.5459	1521 13.3444	1523 13.3620	77821925315 12.2552
6	1503 13.1865	1492 13.0900	1444 12.6689	1439 12.6250	82551854345 13.0000
7	1469 12.8882	1453 12.7479	1442 12.6513	1454 12.7566	80760822737 12.7180
8	1413 12.3969	1406 12.3355	1278 11.2125	1275 11.1862	73465633954 11.5691
9	1083  9.5017	1100  9.6508	1092  9.5806	1076  9.4403	60489162482  9.5256
10	708  6.2116	712  6.2467	805  7.0626	814  7.1416	43661750688  6.8757
11	467  4.0972	466  4.0884	458  4.0182	461  4.0446	26377787548  4.1539
12	223  1.9565	227  1.9916	234  2.0530	235  2.0618	12128527136  1.9100
13	43  0.3773	42  0.3685	73  0.6405	72  0.6317	3317304159  0.5224
U = 14	11398  6.2642	11398  6.2671	11398  6.3257	11398  6.3276	635013559600  6.2957

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Club make = cm

Value	North	South	West	East	Empirical
0	147  1.2897	150  1.3160	119  1.0440	118  1.0353	6949893015  1.0944
1	336  2.9479	325  2.8514	317  2.7812	318  2.7900	17646817412  2.7790
2	595  5.2202	602  5.2816	570  5.0009	566  4.9658	32992452829  5.1956
3	852  7.4750	869  7.6241	887  7.7821	902  7.9137	50476652542  7.9489
4	1181 10.3615	1181 10.3615	1191 10.4492	1178 10.3351	66372975438 10.4522
5	1526 13.3883	1525 13.3795	1318 11.5634	1301 11.4143	77821925315 12.2552
6	1483 13.0111	1465 12.8531	1466 12.8619	1490 13.0725	82551854345 13.0000
7	1445 12.6777	1437 12.6075	1512 13.2655	1513 13.2743	80760822737 12.7180
8	1261 11.0633	1274 11.1774	1393 12.2214	1405 12.3267	73465633954 11.5691
9	1050  9.2121	1048  9.1946	1087  9.5368	1077  9.4490	60489162482  9.5256
10	791  6.9398	787  6.9047	728  6.3871	736  6.4573	43661750688  6.8757
11	453  3.9744	461  4.0446	471  4.1323	463  4.0621	26377787548  4.1539
12	220  1.9302	217  1.9038	258  2.2636	250  2.1934	12128527136  1.9100
13	58  0.5089	57  0.5001	81  0.7107	81  0.7107	3317304159  0.5224
U = 14	11398  6.2532	11398  6.2506	11398  6.3510	11398  6.3470	635013559600  6.2957

Top     Main

Longest fit = lf

Value	North	South	West	East	Theoretical
7	1815 15.9238	1815 15.9238	1806 15.8449	1806 15.8449	13006498437504 15.7363
8	5195 45.5782	5195 45.5782	5201 45.6308	5201 45.6308	37809373653909 45.7447
9	3227 28.3120	3227 28.3120	3261 28.6103	3261 28.6103	23225440992325 28.0999
10	992  8.7033	992  8.7033	943  8.2734	943  8.2734	7168401039800  8.6729
11	155  1.3599	155  1.3599	165  1.4476	165  1.4476	1307227435020  1.5816
12	14  0.1228	14  0.1228	22  0.1930	22  0.1930	130732315831  0.1582
13	0	0	0	0	5414950295  0.0066
U = 7	11398  8.3437	11398  8.3437	11398  8.3443	11398  8.3443	82653088824684  8.3512

Top     Main

Longest fit make = lm

Value	North	South	West	East	Empirical
0	0	0	1  0.0088	1  0.0088	22876394  0.0036
1	4  0.0351	6  0.0526	5  0.0439	6  0.0526	251246691  0.0396
2	33  0.2895	29  0.2544	29  0.2544	29  0.2544	1556124656  0.2451
3	116  1.0177	118  1.0353	88  0.7721	89  0.7808	5892722789  0.9280
4	291  2.5531	296  2.5969	290  2.5443	290  2.5443	16409883547  2.5842
5	666  5.8431	669  5.8695	687  6.0274	682  5.9835	35643298455  5.6130
6	1108  9.7210	1097  9.6245	1098  9.6333	1097  9.6245	62031256233  9.7685
7	1632 14.3183	1645 14.4324	1601 14.0463	1627 14.2744	89999744190 14.1729
8	2018 17.7049	2015 17.6785	1950 17.1083	1939 17.0118	110099842849 17.3382
9	2000 17.5469	1978 17.3539	2000 17.5469	1990 17.4592	113173167471 17.8222
10	1704 14.9500	1727 15.1518	1702 14.9324	1709 14.9939	95919764225 15.1052
11	1119  9.8175	1117  9.8000	1144 10.0368	1146 10.0544	64150449024 10.1022
12	568  4.9833	560  4.9131	610  5.3518	600  5.2641	31112561346  4.8995
13	139  1.2195	141  1.2371	193  1.6933	193  1.6933	8750621730  1.3780
U = 14	11398  8.3436	11398  8.3415	11398  8.4006	11398  8.3961	635013559600  8.3753

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Best fit = bf

Value	North	South	West	East	Empirical
5	0	0	2  0.0175	2  0.0175	10461673  0.0016
6	18  0.1579	15  0.1316	17  0.1491	18  0.1579	1222077835  0.1924
7	1933 16.9591	1933 16.9591	1897 16.6433	1893 16.6082	105351212255 16.5904
8	5127 44.9816	5134 45.0430	5164 45.3062	5165 45.3150	287234089436 45.2327
9	3167 27.7856	3165 27.7680	3198 28.0576	3200 28.0751	175437245133 27.6273
10	985  8.6419	983  8.6243	935  8.2032	934  8.1944	54701014789  8.6141
11	154  1.3511	154  1.3511	163  1.4301	164  1.4388	10008187498  1.5761
12	14  0.1228	14  0.1228	22  0.1930	22  0.1930	1006364496  0.1585
13	0	0	0	0	42906485  0.0068
U = 9	11398  8.3234	11398  8.3234	11398  8.3253	11398  8.3258	635013559600  8.3327

Top     Main

Best fit make = bm

Value	North	South	West	East	Empirical
0	0	0	0	0	1513990  0.0002
1	2  0.0175	3  0.0263	3  0.0263	3  0.0263	132231913  0.0208
2	29  0.2544	26  0.2281	25  0.2193	25  0.2193	1339624042  0.2110
3	112  0.9826	114  1.0002	86  0.7545	89  0.7808	5671089748  0.8931
4	286  2.5092	289  2.5355	288  2.5268	283  2.4829	16177592015  2.5476
5	653  5.7291	658  5.7729	682  5.9835	681  5.9747	35415185536  5.5771
6	1108  9.7210	1099  9.6420	1083  9.5017	1084  9.5104	61775936908  9.7283
7	1622 14.2306	1637 14.3622	1597 14.0112	1623 14.2393	89711329037 14.1275
8	2023 17.7487	2012 17.6522	1953 17.1346	1942 17.0381	109962826727 17.3166
9	2012 17.6522	1990 17.4592	2004 17.5820	1988 17.4417	113305081446 17.8429
10	1703 14.9412	1727 15.1518	1710 15.0026	1721 15.0991	96187452851 15.1473
11	1119  9.8175	1123  9.8526	1141 10.0105	1146 10.0544	64547826059 10.1648
12	586  5.1413	575  5.0447	629  5.5185	616  5.4045	31646530587  4.9836
13	143  1.2546	145  1.2722	197  1.7284	197  1.7284	9139338741  1.4392
U = 14	11398  8.3637	11398  8.3620	11398  8.4199	11398  8.4154	635013559600  8.3938

Top     Main

Highest make = H

Value	North	South	West	East	Empirical
0 —	0	0	0	0	1513990  0.0002
1  1	0	0	0	0	4027214  0.0006
2  1	0	1  0.0088	1  0.0088	1  0.0088	11612306  0.0018
3  1	0	0	0	0	25874094  0.0041
4  1	1  0.0088	1  0.0088	1  0.0088	1  0.0088	53231899  0.0084
5 N 1	1  0.0088	1  0.0088	1  0.0088	1  0.0088	36956503  0.0058
6  2	2  0.0175	2  0.0175	4  0.0351	4  0.0351	120316810  0.0189
7  2	3  0.0263	2  0.0175	7  0.0614	7  0.0614	198635528  0.0313
8  2	10  0.0877	10  0.0877	6  0.0526	6  0.0526	326628269  0.0514
9  2	11  0.0965	10  0.0877	5  0.0439	5  0.0439	500918833  0.0789
10 N 2	3  0.0263	2  0.0175	3  0.0263	3  0.0263	185145875  0.0292
11  3	12  0.1053	11  0.0965	9  0.0790	10  0.0877	708986520  0.1116
12  3	27  0.2369	30  0.2632	20  0.1755	21  0.1842	998658286  0.1573
13  3	26  0.2281	25  0.2193	20  0.1755	21  0.1842	1395338886  0.2197
14  3	35  0.3071	37  0.3246	25  0.2193	25  0.2193	1910125869  0.3008
15 N 3	11  0.0965	9  0.0790	12  0.1053	12  0.1053	600509115  0.0946
16  4	49  0.4299	50  0.4387	40  0.3509	38  0.3334	2289229042  0.3605
17  4	46  0.4036	44  0.3860	53  0.4650	53  0.4650	2994612265  0.4716
18  4	64  0.5615	64  0.5615	70  0.6141	70  0.6141	3903975403  0.6148
19  4	99  0.8686	103  0.9037	89  0.7808	86  0.7545	5081012026  0.8001
20 N 4	25  0.2193	27  0.2369	29  0.2544	32  0.2808	1713322270  0.2698
21  5	119  1.0440	118  1.0353	92  0.8072	92  0.8072	5390835002  0.8489
22  5	134  1.1756	139  1.2195	140  1.2283	139  1.2195	6765583620  1.0654
23  5	172  1.5090	167  1.4652	160  1.4038	161  1.4125	8498769442  1.3384
24  5	165  1.4476	169  1.4827	202  1.7722	204  1.7898	10602398413  1.6696
25 N 5	56  0.4913	57  0.5001	87  0.7633	80  0.7019	3790350430  0.5969
26  6	184  1.6143	184  1.6143	169  1.4827	175  1.5354	9966643603  1.5695
27  6	228  2.0004	230  2.0179	192  1.6845	195  1.7108	12109712021  1.9070
28  6	251  2.2021	248  2.1758	279  2.4478	276  2.4215	14729112069  2.3195
29  6	318  2.7900	318  2.7900	323  2.8338	322  2.8251	17910202521  2.8204
30 N 6	114  1.0002	102  0.8949	113  0.9914	109  0.9563	6534760658  1.0291
31  7	267  2.3425	268  2.3513	282  2.4741	287  2.5180	15075437352  2.3740
32  7	345  3.0268	336  2.9479	326  2.8602	326  2.8602	17958650211  2.8281
33  7	355  3.1146	361  3.1672	388  3.4041	390  3.4217	21361994439  3.3640
34  7	469  4.1148	485  4.2551	442  3.8779	454  3.9832	25528480621  4.0201
35 N 7	179  1.5705	185  1.6231	146  1.2809	152  1.3336	9154206125  1.4416
36  8	329  2.8865	325  2.8514	357  3.1321	358  3.1409	18791511418  2.9592
37  8	409  3.5883	417  3.6585	363  3.1848	358  3.1409	22088800625  3.4785
38  8	491  4.3078	490  4.2990	470  4.1235	465  4.0797	26002102208  4.0947
39  8	564  4.9482	544  4.7728	535  4.6938	537  4.7114	30496109913  4.8024
40 N 8	227  1.9916	233  2.0442	211  1.8512	210  1.8424	12173466153  1.9170
41  9	359  3.1497	358  3.1409	325  2.8514	320  2.8075	19155398988  3.0165
42  9	367  3.2199	380  3.3339	390  3.4217	379  3.3251	22679953280  3.5716
43  9	473  4.1499	454  3.9832	490  4.2990	492  4.3165	26645003052  4.1960
44  9	552  4.8430	551  4.8342	552  4.8430	544  4.7728	31116921638  4.9002
45 N 9	252  2.2109	241  2.1144	260  2.2811	264  2.3162	13776418529  2.1695
46  10	289  2.5355	295  2.5882	264  2.3162	263  2.3074	15678126613  2.4689
47  10	291  2.5531	297  2.6057	344  3.0181	356  3.1234	18845651711  2.9678
48  10	391  3.4304	388  3.4041	406  3.5620	410  3.5971	22346330376  3.5190
49  10	504  4.4218	502  4.4043	461  4.0446	461  4.0446	26213758053  4.1281
50 N 10	247  2.1670	261  2.2899	243  2.1320	237  2.0793	13730953401  2.1623
51  11	155  1.3599	151  1.3248	161  1.4125	149  1.3072	9697289588  1.5271
52  11	216  1.8951	212  1.8600	195  1.7108	192  1.6845	11914043914  1.8762
53  11	253  2.2197	257  2.2548	269  2.3601	273  2.3952	14305376462  2.2528
54  11	309  2.7110	308  2.7022	314  2.7549	323  2.8338	16882127404  2.6585
55 N 11	204  1.7898	211  1.8512	219  1.9214	227  1.9916	12637216524  1.9901
56  12	68  0.5966	68  0.5966	87  0.7633	86  0.7545	4042066459  0.6365
57  12	95  0.8335	93  0.8159	92  0.8072	97  0.8510	4996576787  0.7868
58  12	106  0.9300	104  0.9124	108  0.9475	109  0.9563	6084938998  0.9582
59  12	144  1.2634	138  1.2107	133  1.1669	130  1.1406	7241748711  1.1404
60 N 12	176  1.5441	176  1.5441	211  1.8512	200  1.7547	9797000990  1.5428
61  13	20  0.1755	20  0.1755	27  0.2369	26  0.2281	950467974  0.1497
62  13	12  0.1053	14  0.1228	27  0.2369	25  0.2193	1125576093  0.1773
63  13	23  0.2018	24  0.2106	25  0.2193	26  0.2281	1297292873  0.2043
64  13	19  0.1667	19  0.1667	27  0.2369	27  0.2369	1491113912  0.2348
65 N 13	72  0.6317	71  0.6229	96  0.8423	96  0.8423	4372449423  0.6886
U = 66	11398 39.9367	11398 39.9273	11398 40.2260	11398 40.2065	635013559600 40.0915

Top     Main

On-lead highest make = O

Value	North	South	West	East	Empirical
0 —	0	0	0	0	1241472  0.0002
1  1	0	0	0	0	3239939  0.0005
2  1	0	0	1  0.0088	1  0.0088	9447300  0.0015
3  1	0	0	0	0	21574362  0.0034
4  1	1  0.0088	1  0.0088	1  0.0088	1  0.0088	42527988  0.0067
5 N 1	1  0.0088	0	1  0.0088	1  0.0088	26388851  0.0042
6  2	2  0.0175	1  0.0088	2  0.0175	2  0.0175	84995416  0.0134
7  2	3  0.0263	3  0.0263	4  0.0351	4  0.0351	142224249  0.0224
8  2	4  0.0351	3  0.0263	6  0.0526	6  0.0526	231292299  0.0364
9  2	8  0.0702	9  0.0790	6  0.0526	7  0.0614	363266834  0.0572
10 N 2	3  0.0263	3  0.0263	3  0.0263	3  0.0263	127432564  0.0201
11  3	6  0.0526	7  0.0614	6  0.0526	7  0.0614	493076363  0.0776
12  3	19  0.1667	20  0.1755	14  0.1228	11  0.0965	693513539  0.1092
13  3	21  0.1842	25  0.2193	14  0.1228	16  0.1404	1000823292  0.1576
14  3	31  0.2720	26  0.2281	16  0.1404	18  0.1579	1395369165  0.2197
15 N 3	6  0.0526	9  0.0790	5  0.0439	6  0.0526	517057969  0.0814
16  4	30  0.2632	31  0.2720	27  0.2369	26  0.2281	1644254032  0.2589
17  4	48  0.4211	44  0.3860	39  0.3422	37  0.3246	2174377737  0.3424
18  4	55  0.4825	51  0.4474	51  0.4474	52  0.4562	2890268054  0.4552
19  4	74  0.6492	70  0.6141	75  0.6580	69  0.6054	3825111648  0.6024
20 N 4	26  0.2281	26  0.2281	24  0.2106	27  0.2369	1603391433  0.2525
21  5	84  0.7370	88  0.7721	69  0.6054	63  0.5527	3998705776  0.6297
22  5	94  0.8247	95  0.8335	102  0.8949	96  0.8423	5059967561  0.7968
23  5	113  0.9914	118  1.0353	116  1.0177	111  0.9739	6444920473  1.0149
24  5	138  1.2107	143  1.2546	154  1.3511	150  1.3160	8171172220  1.2868
25 N 5	75  0.6580	78  0.6843	82  0.7194	80  0.7019	3680646693  0.5796
26  6	156  1.3687	149  1.3072	138  1.2107	139  1.2195	7757580348  1.2216
27  6	176  1.5441	171  1.5003	152  1.3336	153  1.3423	9525027771  1.5000
28  6	233  2.0442	236  2.0705	225  1.9740	230  2.0179	11764658491  1.8527
29  6	252  2.2109	243  2.1320	277  2.4303	275  2.4127	14509280677  2.2849
30 N 6	111  0.9739	120  1.0528	95  0.8335	103  0.9037	6740920718  1.0615
31  7	210  1.8424	221  1.9389	218  1.9126	226  1.9828	12379732192  1.9495
32  7	261  2.2899	257  2.2548	252  2.2109	259  2.2723	14970987161  2.3576
33  7	297  2.6057	293  2.5706	335  2.9391	342  3.0005	18071185110  2.8458
34  7	391  3.4304	395  3.4655	391  3.4304	399  3.5006	21830271641  3.4378
35 N 7	207  1.8161	206  1.8073	206  1.8073	195  1.7108	11424585988  1.7991
36  8	283  2.4829	278  2.4390	328  2.8777	327  2.8689	16339498138  2.5731
37  8	365  3.2023	373  3.2725	321  2.8163	320  2.8075	19709383181  3.1038
38  8	455  3.9919	446  3.9130	439  3.8516	433  3.7989	23605758352  3.7174
39  8	527  4.6236	525  4.6061	496  4.3516	497  4.3604	28085928185  4.4229
40 N 8	299  2.6233	298  2.6145	276  2.4215	280  2.4566	16270929517  2.5623
41  9	335  2.9391	319  2.7987	267  2.3425	263  2.3074	17610462720  2.7732
42  9	370  3.2462	376  3.2988	394  3.4567	387  3.3953	21330730539  3.3591
43  9	458  4.0182	460  4.0358	477  4.1849	475  4.1674	25409571822  4.0014
44  9	561  4.9219	568  4.9833	520  4.5622	523  4.5885	30048695498  4.7320
45 N 9	349  3.0619	350  3.0707	371  3.2550	375  3.2901	20125215758  3.1693
46  10	255  2.2372	262  2.2986	265  2.3250	262  2.2986	15180947336  2.3906
47  10	319  2.7987	319  2.7987	332  2.9128	323  2.8338	18360372398  2.8913
48  10	379  3.3251	372  3.2637	413  3.6234	414  3.6322	21797024413  3.4325
49  10	453  3.9744	463  4.0621	430  3.7726	426  3.7375	25500986557  4.0158
50 N 10	419  3.6761	422  3.7024	404  3.5445	412  3.6147	22971290435  3.6174
51  11	176  1.5441	179  1.5705	172  1.5090	180  1.5792	10149896990  1.5984
52  11	203  1.7810	206  1.8073	213  1.8687	209  1.8337	12077115810  1.9019
53  11	253  2.2197	252  2.2109	262  2.2986	257  2.2548	14119413033  2.2235
54  11	267  2.3425	262  2.2986	287  2.5180	304  2.6671	16390731570  2.5812
55 N 11	396  3.4743	395  3.4655	425  3.7287	413  3.6234	22941283147  3.6127
56  12	93  0.8159	89  0.7808	95  0.8335	98  0.8598	5500720419  0.8662
57  12	109  0.9563	106  0.9300	109  0.9563	113  0.9914	6227026988  0.9806
58  12	134  1.1756	124  1.0879	129  1.1318	125  1.0967	7033151127  1.1076
59  12	166  1.4564	170  1.4915	139  1.2195	137  1.2020	7852931458  1.2367
60 N 12	330  2.8952	337  2.9567	342  3.0005	349  3.0619	17849476370  2.8109
61  13	36  0.3158	36  0.3158	52  0.4562	48  0.4211	2037906651  0.3209
62  13	37  0.3246	35  0.3071	49  0.4299	50  0.4387	2187019556  0.3444
63  13	42  0.3685	40  0.3509	43  0.3773	45  0.3948	2314542960  0.3645
64  13	38  0.3334	37  0.3246	35  0.3071	30  0.2632	2451437963  0.3860
65 N 13	155  1.3599	157  1.3774	206  1.8073	208  1.8249	9913593383  1.5612
U = 66	11398 41.8279	11398 41.8243	11398 42.1382	11398 42.1542	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	2166 19.0033	2161 18.9595	2152 18.8805	2149 18.8542	119358998783 18.7963
1 1	267  2.3425	268  2.3513	282  2.4741	287  2.5180	15075437352  2.3740
2 1	345  3.0268	336  2.9479	326  2.8602	326  2.8602	17958650211  2.8281
3 1	355  3.1146	361  3.1672	388  3.4041	390  3.4217	21361994439  3.3640
4 1	469  4.1148	485  4.2551	442  3.8779	454  3.9832	25528480621  4.0201
5 1 N	179  1.5705	185  1.6231	146  1.2809	152  1.3336	9154206126  1.4416
6 2	329  2.8865	325  2.8514	357  3.1321	358  3.1409	18791511418  2.9592
7 2	409  3.5883	417  3.6585	363  3.1848	358  3.1409	22088800625  3.4785
8 2	491  4.3078	490  4.2990	470  4.1235	465  4.0797	26002102208  4.0947
9 2	564  4.9482	544  4.7728	535  4.6938	537  4.7114	30496109913  4.8024
10 3	279  2.4478	277  2.4303	261  2.2899	261  2.2899	15168880833  2.3887
11 3	292  2.5619	293  2.5706	293  2.5706	292  2.5619	17647767441  2.7791
12 2 N	382  3.3515	401  3.5182	372  3.2637	356  3.1234	21192170146  3.3373
13 4	149  1.3072	153  1.3423	154  1.3511	154  1.3511	8352078922  1.3153
14 4	154  1.3511	163  1.4301	186  1.6319	194  1.7021	10306791805  1.6231
15 3	541  4.7464	522  4.5798	557  4.8868	557  4.8868	30412174290  4.7892
16 3	622  5.4571	613  5.3781	616  5.4045	613  5.3781	35369266210  5.5698
17 3 N	391  3.4304	387  3.3953	397  3.4831	401  3.5182	21621810315  3.4049
18 5	73  0.6405	73  0.6405	79  0.6931	78  0.6843	4918954504  0.7746
19 5	118  1.0353	119  1.0440	94  0.8247	99  0.8686	6307419874  0.9933
20 4	431  3.7814	430  3.7726	453  3.9744	451  3.9568	24619813919  3.8771
21 4	553  4.8517	548  4.8079	501  4.3955	497  4.3604	28756868129  4.5285
22 4 N	338  2.9654	344  3.0181	339  2.9742	324  2.8426	19299318906  3.0392
23 5	253  2.2197	257  2.2548	269  2.3601	273  2.3952	14305376462  2.2528
24 5	309  2.7110	308  2.7022	314  2.7549	323  2.8338	16882127404  2.6585
25 5 N	204  1.7898	211  1.8512	219  1.9214	227  1.9916	12637216524  1.9901
26 6	68  0.5966	68  0.5966	87  0.7633	86  0.7545	4042066459  0.6365
27 6	95  0.8335	93  0.8159	92  0.8072	97  0.8510	4996576787  0.7868
28 6	106  0.9300	104  0.9124	108  0.9475	109  0.9563	6084938998  0.9582
29 6	144  1.2634	138  1.2107	133  1.1669	130  1.1406	7241748711  1.1404
30 6 N	176  1.5441	176  1.5441	211  1.8512	200  1.7547	9797000990  1.5428
31 7	20  0.1755	20  0.1755	27  0.2369	26  0.2281	950467974  0.1497
32 7	12  0.1053	14  0.1228	27  0.2369	25  0.2193	1125576093  0.1773
33 7	23  0.2018	24  0.2106	25  0.2193	26  0.2281	1297292873  0.2043
34 7	19  0.1667	19  0.1667	27  0.2369	27  0.2369	1491113912  0.2348
35 7 N	72  0.6317	71  0.6229	96  0.8423	96  0.8423	4372449423  0.6886
U = 36	11398 11.3417	11398 11.3317	11398 11.5742	11398 11.5528	635013559600 11.4347

Top     Main

Par None vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0177	0	1  0.0088
2 80	20  0.3540	8  0.1392	28  0.2457
3 90	177  3.1333	159  2.7657	336  2.9479
4 100	886 15.6842	889 15.4636	1775 15.5729
5 110	238  4.2131	243  4.2268	481  4.2200
6 120	234  4.1423	228  3.9659	462  4.0533
7 130	218  3.8591	217  3.7746	435  3.8165
8 140	617 10.9223	662 11.5150	1279 11.2213
10 300	296  5.2399	295  5.1313	591  5.1851
11 400	473  8.3732	444  7.7231	917  8.0453
12 420	663 11.7366	651 11.3237	1314 11.5283
13 430	338  5.9834	339  5.8967	677  5.9396
14 450	512  9.0636	533  9.2712	1045  9.1683
15 460	224  3.9653	233  4.0529	457  4.0095
16 500	24  0.4249	25  0.4349	49  0.4299
22 800	57  1.0090	55  0.9567	112  0.9826
23 920	125  2.2128	141  2.4526	266  2.3337
24 980	212  3.7529	211  3.6702	423  3.7112
25 990	188  3.3280	218  3.7920	406  3.5620
26 1100	5  0.0885	8  0.1392	13  0.1141
28 1400	6  0.1062	8  0.1392	14  0.1228
30 1440	23  0.4072	39  0.6784	62  0.5440
31 1510	40  0.7081	47  0.8175	87  0.7633
32 1520	72  1.2746	96  1.6699	168  1.4739
U = 25	5649 11.1606	5749 11.4724	11398 11.3179

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Par N-S vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0177	0	1  0.0088
2 80	20  0.3540	8  0.1392	28  0.2457
3 90	177  3.1333	159  2.7657	336  2.9479
4 100	886 15.6842	0	886  7.7733
5 110	238  4.2131	583 10.1409	821  7.2030
6 120	234  4.1423	307  5.3401	541  4.7464
7 130	218  3.8591	275  4.7834	493  4.3253
8 140	617 10.9223	920 16.0028	1537 13.4848
9 200	0	154  2.6787	154  1.3511
10 300	296  5.2399	0	296  2.5969
11 400	0	526  9.1494	526  4.6148
12 420	0	800 13.9155	800  7.0188
13 430	0	357  6.2098	357  3.1321
14 450	0	569  9.8974	569  4.9921
15 460	0	234  4.0703	234  2.0530
16 500	492  8.7095	9  0.1565	501  4.3955
17 600	340  6.0188	0	340  2.9830
18 620	437  7.7359	0	437  3.8340
19 630	300  5.3107	0	300  2.6320
20 650	444  7.8598	0	444  3.8954
21 660	221  3.9122	0	221  1.9389
22 800	57  1.0090	25  0.4349	82  0.7194
23 920	0	167  2.9049	167  1.4652
24 980	0	231  4.0181	231  2.0267
25 990	0	223  3.8789	223  1.9565
26 1100	88  1.5578	4  0.0696	92  0.8072
27 1370	94  1.6640	0	94  0.8247
28 1400	87  1.5401	8  0.1392	95  0.8335
29 1430	106  1.8764	0	106  0.9300
30 1440	161  2.8501	43  0.7480	204  1.7898
31 1510	0	51  0.8871	51  0.4474
32 1520	0	96  1.6699	96  0.8423
33 1700	9  0.1593	0	9  0.0790
34 2000	7  0.1239	0	7  0.0614
35 2140	14  0.2478	0	14  0.1228
36 2210	33  0.5842	0	33  0.2895
37 2220	72  1.2746	0	72  0.6317
U = 38	5649 13.8375	5749 12.0628	11398 12.9424

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Par E-W vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0177	0	1  0.0088
2 80	20  0.3540	8  0.1392	28  0.2457
3 90	177  3.1333	159  2.7657	336  2.9479
4 100	0	889 15.4636	889  7.7996
5 110	599 10.6036	243  4.2268	842  7.3873
6 120	330  5.8417	228  3.9659	558  4.8956
7 130	256  4.5318	217  3.7746	473  4.1499
8 140	864 15.2947	662 11.5150	1526 13.3883
9 200	144  2.5491	0	144  1.2634
10 300	0	295  5.1313	295  2.5882
11 400	549  9.7185	0	549  4.8166
12 420	829 14.6752	0	829  7.2732
13 430	356  6.3020	0	356  3.1234
14 450	542  9.5946	0	542  4.7552
15 460	224  3.9653	0	224  1.9653
16 500	6  0.1062	513  8.9233	519  4.5534
17 600	0	299  5.2009	299  2.6233
18 620	0	428  7.4448	428  3.7550
19 630	0	305  5.3053	305  2.6759
20 650	0	454  7.8970	454  3.9832
21 660	0	226  3.9311	226  1.9828
22 800	24  0.4249	55  0.9567	79  0.6931
23 920	152  2.6907	0	152  1.3336
24 980	237  4.1954	0	237  2.0793
25 990	191  3.3811	0	191  1.6757
26 1100	2  0.0354	96  1.6699	98  0.8598
27 1370	0	111  1.9308	111  0.9739
28 1400	5  0.0885	73  1.2698	78  0.6843
29 1430	0	120  2.0873	120  1.0528
30 1440	28  0.4957	186  3.2353	214  1.8775
31 1510	41  0.7258	0	41  0.3597
32 1520	72  1.2746	0	72  0.6317
33 1700	0	14  0.2435	14  0.1228
34 2000	0	11  0.1913	11  0.0965
35 2140	0	18  0.3131	18  0.1579
36 2210	0	43  0.7480	43  0.3773
37 2220	0	96  1.6699	96  0.8423
U = 38	5649 11.7366	5749 14.1565	11398 12.9572

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Par Both vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0177	0	1  0.0088
2 80	20  0.3540	8  0.1392	28  0.2457
3 90	177  3.1333	159  2.7657	336  2.9479
5 110	599 10.6036	583 10.1409	1182 10.3702
6 120	330  5.8417	307  5.3401	637  5.5887
7 130	256  4.5318	275  4.7834	531  4.6587
8 140	864 15.2947	920 16.0028	1784 15.6519
9 200	144  2.5491	154  2.6787	298  2.6145
16 500	296  5.2399	295  5.1313	591  5.1851
17 600	473  8.3732	444  7.7231	917  8.0453
18 620	663 11.7366	651 11.3237	1314 11.5283
19 630	338  5.9834	339  5.8967	677  5.9396
20 650	512  9.0636	533  9.2712	1045  9.1683
21 660	224  3.9653	233  4.0529	457  4.0095
22 800	24  0.4249	25  0.4349	49  0.4299
26 1100	57  1.0090	55  0.9567	112  0.9826
27 1370	125  2.2128	141  2.4526	266  2.3337
28 1400	57  1.0090	66  1.1480	123  1.0791
29 1430	167  2.9563	165  2.8701	332  2.9128
30 1440	181  3.2041	206  3.5832	387  3.3953
33 1700	6  0.1062	8  0.1392	14  0.1228
34 2000	9  0.1593	14  0.2435	23  0.2018
35 2140	17  0.3009	26  0.4523	43  0.3773
36 2210	37  0.6550	46  0.8001	83  0.7282
37 2220	72  1.2746	96  1.6699	168  1.4739
U = 26	5649 14.8651	5749 15.1955	11398 15.0318

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LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1663	1  0.0831	0	0
13	117  9.7257	94  7.8138	106  8.8113	80  6.6500
14	576 47.8803	544 45.2203	581 48.2959	556 46.2178
15	426 35.4115	469 38.9859	430 35.7440	467 38.8196
16	78  6.4838	91  7.5644	82  6.8163	96  7.9800
17	3  0.2494	3  0.2494	3  0.2494	3  0.2494
18	0	0	0	0
19	0	0	0	0
20	1  0.0831	1  0.0831	1  0.0831	1  0.0831
U = 9	1203 14.3957	1203 14.4738	1203 14.4181	1203 14.4938

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1646	2  0.1646	0	0
13	15  1.2346	13  1.0700	13  1.0700	9  0.7407
14	174 14.3210	143 11.7695	178 14.6502	147 12.0988
15	596 49.0535	592 48.7243	594 48.8889	594 48.8889
16	367 30.2058	396 32.5926	368 30.2881	395 32.5103
17	57  4.6914	65  5.3498	58  4.7737	66  5.4321
18	4  0.3292	4  0.3292	4  0.3292	4  0.3292
U = 7	1215 15.2329	1215 15.2988	1215 15.2403	1215 15.3078

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	3  0.0991	3  0.0991	0	0
13	17  0.5616	15  0.4955	4  0.1321	2  0.0661
14	117  3.8652	101  3.3366	89  2.9402	68  2.2464
15	644 21.2752	599 19.7886	630 20.8127	589 19.4582
16	1268 41.8897	1264 41.7575	1310 43.2772	1294 42.7486
17	766 25.3056	810 26.7592	775 25.6029	833 27.5190
18	182  6.0126	201  6.6402	186  6.1447	207  6.8385
19	26  0.8589	29  0.9580	30  0.9911	29  0.9580
20	3  0.0991	4  0.1321	2  0.0661	4  0.1321
21	0	0	0	0
22	1  0.0330	1  0.0330	1  0.0330	1  0.0330
U = 11	3027 16.0942	3027 16.1530	3027 16.1424	3027 16.2065

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0373	1  0.0373	0	0
11	0	0	0	0
12	0	0	0	0
13	4  0.1492	3  0.1119	1  0.0373	1  0.0373
14	16  0.5968	13  0.4849	7  0.2611	6  0.2238
15	139  5.1846	119  4.4386	125  4.6624	105  3.9164
16	584 21.7829	557 20.7758	584 21.7829	543 20.2536
17	1057 39.4256	1061 39.5748	1070 39.9105	1083 40.3954
18	676 25.2145	704 26.2589	690 25.7367	715 26.6692
19	184  6.8631	201  7.4972	183  6.8258	205  7.6464
20	20  0.7460	22  0.8206	21  0.7833	23  0.8579
U = 11	2681 17.0638	2681 17.1190	2681 17.0970	2681 17.1563

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	12  0.6908	10  0.5757	9  0.5181	8  0.4606
16	123  7.0812	112  6.4479	110  6.3328	100  5.7571
17	423 24.3523	409 23.5463	413 23.7766	394 22.6828
18	646 37.1906	646 37.1906	651 37.4784	650 37.4208
19	370 21.3011	380 21.8768	386 22.2222	398 22.9131
20	131  7.5417	144  8.2902	132  7.5993	150  8.6356
21	30  1.7271	32  1.8423	33  1.8998	31  1.7847
22	1  0.0576	3  0.1727	2  0.1151	5  0.2879
23	1  0.0576	1  0.0576	1  0.0576	1  0.0576
U = 9	1737 18.0150	1737 18.0679	1737 18.0587	1737 18.1140

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
16	13  1.2745	10  0.9804	13  1.2745	10  0.9804
17	131 12.8431	127 12.4510	111 10.8824	108 10.5882
18	279 27.3529	271 26.5686	288 28.2353	274 26.8627
19	329 32.2549	328 32.1569	324 31.7647	332 32.5490
20	206 20.1961	218 21.3725	218 21.3725	227 22.2549
21	55  5.3922	56  5.4902	58  5.6863	59  5.7843
22	6  0.5882	9  0.8824	7  0.6863	9  0.8824
23	1  0.0980	1  0.0980	1  0.0980	1  0.0980
U = 8	1020 18.7627	1020 18.8098	1020 18.8137	1020 18.8588

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	15  4.1209	15  4.1209	10  2.7473	10  2.7473
18	68 18.6813	66 18.1319	63 17.3077	62 17.0330
19	99 27.1978	97 26.6484	104 28.5714	101 27.7473
20	113 31.0440	109 29.9451	114 31.3187	110 30.2198
21	51 14.0110	53 14.5604	52 14.2857	55 15.1099
22	15  4.1209	19  5.2198	18  4.9451	20  5.4945
23	3  0.8242	5  1.3736	3  0.8242	6  1.6484
U = 7	364 19.4780	364 19.5385	364 19.5522	364 19.6099

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	1  0.8333	0	0	0
18	12 10.0000	12 10.0000	10  8.3333	10  8.3333
19	25 20.8333	25 20.8333	26 21.6667	25 20.8333
20	39 32.5000	40 33.3333	41 34.1667	41 34.1667
21	25 20.8333	23 19.1667	25 20.8333	23 19.1667
22	16 13.3333	17 14.1667	15 12.5000	17 14.1667
23	2  1.6667	3  2.5000	2  1.6667	3  2.5000
24	0	0	1  0.8333	1  0.8333
U = 8	120 20.0917	120 20.1417	120 20.1583	120 20.2083

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LoTT 22 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
18	1  3.8462	1  3.8462	1  3.8462	1  3.8462
19	5 19.2308	5 19.2308	5 19.2308	5 19.2308
20	6 23.0769	6 23.0769	6 23.0769	5 19.2308
21	7 26.9231	7 26.9231	6 23.0769	7 26.9231
22	3 11.5385	3 11.5385	4 15.3846	4 15.3846
23	2  7.6923	2  7.6923	2  7.6923	2  7.6923
24	2  7.6923	1  3.8462	2  7.6923	1  3.8462
25	0	1  3.8462	0	1  3.8462
U = 8	26 20.7692	26 20.8077	26 20.8077	26 20.8846

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LoTT 23 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
20	2 40.0000	1 20.0000	2 40.0000	1 20.0000
21	2 40.0000	3 60.0000	2 40.0000	3 60.0000
22	1 20.0000	1 20.0000	1 20.0000	1 20.0000
U = 3	5 20.8000	5 21.0000	5 20.8000	5 21.0000

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LoTT 24 trumps

No data available

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LoTT 25 trumps

No data available

Double-dummy stats for 11,398 deals

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© 2019 Richard Pavlicek