Main   Stats 8H30 by Richard Pavlicek  

IMP Matches thru 11-25-19

Double-dummy stats for 11,517 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.

Top     Main

Notrump make = M

Value	North	South	West	East	Empirical
0	212  1.8408	210  1.8234	157  1.3632	159  1.3806	9913593383  1.5612
1	451  3.9160	445  3.8639	435  3.7770	441  3.8291	23145762677  3.6449
2	704  6.1127	723  6.2777	651  5.6525	644  5.5917	37977932067  5.9806
3	940  8.1618	944  8.1966	971  8.4310	959  8.3268	52871069846  8.3260
4	1244 10.8014	1240 10.7667	1181 10.2544	1184 10.2805	67524194742 10.6335
5	1415 12.2862	1402 12.1733	1479 12.8419	1482 12.8679	80101714628 12.6142
6	1616 14.0314	1604 13.9272	1686 14.6392	1695 14.7174	90730441332 14.2880
7	1538 13.3542	1526 13.2500	1464 12.7116	1488 12.9200	84402158672 13.2914
8	1292 11.2182	1322 11.4787	1282 11.1314	1269 11.0185	71237104568 11.2182
9	897  7.7885	878  7.6235	871  7.5627	877  7.6148	47702049563  7.5120
10	582  5.0534	601  5.2184	603  5.2357	585  5.0794	32569065440  5.1289
11	339  2.9435	336  2.9174	380  3.2995	388  3.3689	20600866092  3.2442
12	214  1.8581	214  1.8581	257  2.2315	246  2.1360	11865157167  1.8685
13	73  0.6338	72  0.6252	100  0.8683	100  0.8683	4372449423  0.6886
U = 14	11517  5.9622	11517  5.9640	11517  6.0625	11517  6.0565	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	129  1.1201	132  1.1461	106  0.9204	105  0.9117	6949893015  1.0944
1	334  2.9001	328  2.8480	349  3.0303	353  3.0650	17646817412  2.7790
2	629  5.4615	619  5.3747	554  4.8103	549  4.7669	32992452829  5.1956
3	895  7.7711	900  7.8145	911  7.9100	926  8.0403	50476652542  7.9489
4	1195 10.3760	1203 10.4454	1230 10.6799	1229 10.6712	66372975438 10.4522
5	1348 11.7044	1362 11.8260	1469 12.7551	1462 12.6943	77821925315 12.2552
6	1473 12.7898	1453 12.6161	1515 13.1545	1509 13.1024	82551854345 13.0000
7	1530 13.2847	1529 13.2760	1394 12.1038	1401 12.1646	80760822737 12.7180
8	1359 11.7999	1370 11.8955	1287 11.1748	1291 11.2095	73465633954 11.5691
9	1085  9.4209	1073  9.3167	1087  9.4382	1089  9.4556	60489162482  9.5256
10	803  6.9723	808  7.0157	815  7.0765	799  6.9376	43661750688  6.8757
11	460  3.9941	465  4.0375	500  4.3414	512  4.4456	26377787548  4.1539
12	231  2.0057	231  2.0057	237  2.0578	226  1.9623	12128527136  1.9100
13	46  0.3994	44  0.3820	63  0.5470	66  0.5731	3317304159  0.5224
U = 14	11517  6.2900	11517  6.2920	11517  6.3120	11517  6.3069	635013559600  6.2957

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Heart make = hm

Value	North	South	West	East	Empirical
0	139  1.2069	137  1.1895	125  1.0854	120  1.0419	6949893015  1.0944
1	343  2.9782	347  3.0129	330  2.8653	332  2.8827	17646817412  2.7790
2	642  5.5744	641  5.5657	593  5.1489	588  5.1055	32992452829  5.1956
3	926  8.0403	927  8.0490	889  7.7190	893  7.7538	50476652542  7.9489
4	1203 10.4454	1207 10.4802	1195 10.3760	1197 10.3933	66372975438 10.4522
5	1410 12.2428	1409 12.2341	1416 12.2949	1416 12.2949	77821925315 12.2552
6	1489 12.9287	1477 12.8245	1442 12.5206	1434 12.4512	82551854345 13.0000
7	1428 12.3991	1432 12.4338	1458 12.6595	1483 12.8766	80760822737 12.7180
8	1305 11.3311	1316 11.4266	1328 11.5308	1312 11.3919	73465633954 11.5691
9	1078  9.3601	1064  9.2385	1109  9.6292	1130  9.8116	60489162482  9.5256
10	793  6.8855	797  6.9202	811  7.0418	793  6.8855	43661750688  6.8757
11	484  4.2025	492  4.2719	508  4.4109	514  4.4630	26377787548  4.1539
12	218  1.8929	211  1.8321	239  2.0752	231  2.0057	12128527136  1.9100
13	59  0.5123	60  0.5210	74  0.6425	74  0.6425	3317304159  0.5224
U = 14	11517  6.2495	11517  6.2488	11517  6.3414	11517  6.3405	635013559600  6.2957

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Diamond make = dm

Value	North	South	West	East	Empirical
0	152  1.3198	152  1.3198	98  0.8509	101  0.8770	6949893015  1.0944
1	314  2.7264	316  2.7438	336  2.9174	326  2.8306	17646817412  2.7790
2	594  5.1576	595  5.1663	559  4.8537	560  4.8624	32992452829  5.1956
3	974  8.4571	971  8.4310	881  7.6496	884  7.6756	50476652542  7.9489
4	1184 10.2805	1185 10.2891	1213 10.5323	1215 10.5496	66372975438 10.4522
5	1320 11.4613	1330 11.5481	1536 13.3368	1538 13.3542	77821925315 12.2552
6	1513 13.1371	1503 13.0503	1454 12.6248	1448 12.5727	82551854345 13.0000
7	1484 12.8853	1465 12.7203	1455 12.6335	1466 12.7290	80760822737 12.7180
8	1429 12.4077	1424 12.3643	1290 11.2008	1290 11.2008	73465633954 11.5691
9	1093  9.4903	1110  9.6379	1108  9.6206	1089  9.4556	60489162482  9.5256
10	720  6.2516	724  6.2864	813  7.0591	823  7.1460	43661750688  6.8757
11	471  4.0896	470  4.0809	460  3.9941	463  4.0201	26377787548  4.1539
12	226  1.9623	230  1.9970	238  2.0665	239  2.0752	12128527136  1.9100
13	43  0.3734	42  0.3647	76  0.6599	75  0.6512	3317304159  0.5224
U = 14	11517  6.2644	11517  6.2673	11517  6.3266	11517  6.3285	635013559600  6.2957

Top     Main

Club make = cm

Value	North	South	West	East	Empirical
0	148  1.2851	151  1.3111	121  1.0506	120  1.0419	6949893015  1.0944
1	339  2.9435	328  2.8480	323  2.8045	325  2.8219	17646817412  2.7790
2	602  5.2271	609  5.2878	577  5.0100	572  4.9666	32992452829  5.1956
3	861  7.4759	878  7.6235	897  7.7885	912  7.9187	50476652542  7.9489
4	1196 10.3846	1196 10.3846	1205 10.4628	1192 10.3499	66372975438 10.4522
5	1543 13.3976	1541 13.3802	1327 11.5221	1310 11.3745	77821925315 12.2552
6	1496 12.9895	1478 12.8332	1477 12.8245	1502 13.0416	82551854345 13.0000
7	1454 12.6248	1447 12.5640	1529 13.2760	1530 13.2847	80760822737 12.7180
8	1271 11.0359	1284 11.1487	1406 12.2080	1418 12.3122	73465633954 11.5691
9	1065  9.2472	1061  9.2125	1100  9.5511	1089  9.4556	60489162482  9.5256
10	798  6.9289	796  6.9115	735  6.3819	744  6.4600	43661750688  6.8757
11	460  3.9941	468  4.0636	477  4.1417	468  4.0636	26377787548  4.1539
12	225  1.9536	222  1.9276	261  2.2662	253  2.1968	12128527136  1.9100
13	59  0.5123	58  0.5036	82  0.7120	82  0.7120	3317304159  0.5224
U = 14	11517  6.2550	11517  6.2528	11517  6.3498	11517  6.3454	635013559600  6.2957

Top     Main

Longest fit = lf

Value	North	South	West	East	Theoretical
7	1832 15.9069	1832 15.9069	1824 15.8375	1824 15.8375	13006498437504 15.7363
8	5257 45.6456	5257 45.6456	5261 45.6803	5261 45.6803	37809373653909 45.7447
9	3257 28.2799	3257 28.2799	3296 28.6186	3296 28.6186	23225440992325 28.0999
10	1001  8.6915	1001  8.6915	947  8.2226	947  8.2226	7168401039800  8.6729
11	156  1.3545	156  1.3545	167  1.4500	167  1.4500	1307227435020  1.5816
12	14  0.1216	14  0.1216	22  0.1910	22  0.1910	130732315831  0.1582
13	0	0	0	0	5414950295  0.0066
U = 7	11517  8.3431	11517  8.3431	11517  8.3434	11517  8.3434	82653088824684  8.3512

Top     Main

Longest fit make = lm

Value	North	South	West	East	Empirical
0	0	0	1  0.0087	1  0.0087	22876394  0.0036
1	4  0.0347	6  0.0521	5  0.0434	6  0.0521	251246691  0.0396
2	33  0.2865	29  0.2518	29  0.2518	29  0.2518	1556124656  0.2451
3	118  1.0246	119  1.0333	92  0.7988	93  0.8075	5892722789  0.9280
4	297  2.5788	304  2.6396	294  2.5527	294  2.5527	16409883547  2.5842
5	678  5.8869	680  5.9043	693  6.0172	690  5.9911	35643298455  5.6130
6	1112  9.6553	1101  9.5598	1107  9.6119	1104  9.5858	62031256233  9.7685
7	1644 14.2746	1658 14.3961	1624 14.1009	1651 14.3353	89999744190 14.1729
8	2040 17.7129	2037 17.6869	1969 17.0965	1958 17.0010	110099842849 17.3382
9	2024 17.5740	2001 17.3743	2019 17.5306	2007 17.4264	113173167471 17.8222
10	1720 14.9344	1743 15.1341	1714 14.8823	1722 14.9518	95919764225 15.1052
11	1131  9.8203	1128  9.7942	1156 10.0373	1158 10.0547	64150449024 10.1022
12	576  5.0013	569  4.9405	617  5.3573	607  5.2705	31112561346  4.8995
13	140  1.2156	142  1.2330	197  1.7105	197  1.7105	8750621730  1.3780
U = 14	11517  8.3434	11517  8.3412	11517  8.3992	11517  8.3945	635013559600  8.3753

Top     Main

Best fit = bf

Value	North	South	West	East	Empirical
5	0	0	2  0.0174	2  0.0174	10461673  0.0016
6	19  0.1650	16  0.1389	17  0.1476	18  0.1563	1222077835  0.1924
7	1950 16.9315	1950 16.9315	1916 16.6363	1912 16.6015	105351212255 16.5904
8	5188 45.0465	5195 45.1072	5224 45.3590	5225 45.3677	287234089436 45.2327
9	3197 27.7590	3195 27.7416	3232 28.0629	3234 28.0802	175437245133 27.6273
10	994  8.6307	992  8.6134	939  8.1532	938  8.1445	54701014789  8.6141
11	155  1.3458	155  1.3458	165  1.4327	166  1.4413	10008187498  1.5761
12	14  0.1216	14  0.1216	22  0.1910	22  0.1910	1006364496  0.1585
13	0	0	0	0	42906485  0.0068
U = 9	11517  8.3228	11517  8.3228	11517  8.3245	11517  8.3249	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  0.0174	3  0.0260	3  0.0260	3  0.0260	132231913  0.0208
2	29  0.2518	26  0.2258	25  0.2171	25  0.2171	1339624042  0.2110
3	114  0.9898	115  0.9985	90  0.7815	93  0.8075	5671089748  0.8931
4	291  2.5267	296  2.5701	292  2.5354	287  2.4920	16177592015  2.5476
5	666  5.7828	670  5.8175	688  5.9738	689  5.9825	35415185536  5.5771
6	1112  9.6553	1103  9.5771	1092  9.4816	1091  9.4730	61775936908  9.7283
7	1634 14.1877	1650 14.3266	1619 14.0575	1646 14.2919	89711329037 14.1275
8	2045 17.7564	2034 17.6608	1971 17.1138	1960 17.0183	109962826727 17.3166
9	2036 17.6782	2013 17.4785	2025 17.5827	2007 17.4264	113305081446 17.8429
10	1718 14.9171	1742 15.1255	1722 14.9518	1734 15.0560	96187452851 15.1473
11	1132  9.8289	1135  9.8550	1153 10.0113	1158 10.0547	64547826059 10.1648
12	594  5.1576	584  5.0708	636  5.5223	623  5.4094	31646530587  4.9836
13	144  1.2503	146  1.2677	201  1.7452	201  1.7452	9139338741  1.4392
U = 14	11517  8.3635	11517  8.3617	11517  8.4186	11517  8.4139	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  0.0087	1  0.0087	1  0.0087	11612306  0.0018
3  1	0	0	0	0	25874094  0.0041
4  1	1  0.0087	1  0.0087	1  0.0087	1  0.0087	53231899  0.0084
5 N 1	1  0.0087	1  0.0087	1  0.0087	1  0.0087	36956503  0.0058
6  2	2  0.0174	2  0.0174	4  0.0347	4  0.0347	120316810  0.0189
7  2	3  0.0260	2  0.0174	7  0.0608	7  0.0608	198635528  0.0313
8  2	10  0.0868	10  0.0868	6  0.0521	6  0.0521	326628269  0.0514
9  2	11  0.0955	10  0.0868	5  0.0434	5  0.0434	500918833  0.0789
10 N 2	3  0.0260	2  0.0174	3  0.0260	3  0.0260	185145875  0.0292
11  3	12  0.1042	11  0.0955	9  0.0781	10  0.0868	708986520  0.1116
12  3	27  0.2344	30  0.2605	21  0.1823	22  0.1910	998658286  0.1573
13  3	27  0.2344	26  0.2258	22  0.1910	23  0.1997	1395338886  0.2197
14  3	36  0.3126	37  0.3213	26  0.2258	26  0.2258	1910125869  0.3008
15 N 3	11  0.0955	9  0.0781	12  0.1042	12  0.1042	600509115  0.0946
16  4	49  0.4255	50  0.4341	40  0.3473	38  0.3299	2289229042  0.3605
17  4	48  0.4168	46  0.3994	54  0.4689	54  0.4689	2994612265  0.4716
18  4	66  0.5731	68  0.5904	72  0.6252	72  0.6252	3903975403  0.6148
19  4	99  0.8596	103  0.8943	90  0.7815	87  0.7554	5081012026  0.8001
20 N 4	25  0.2171	28  0.2431	29  0.2518	32  0.2779	1713322270  0.2698
21  5	122  1.0593	121  1.0506	93  0.8075	93  0.8075	5390835002  0.8489
22  5	136  1.1809	141  1.2243	140  1.2156	140  1.2156	6765583620  1.0654
23  5	175  1.5195	170  1.4761	163  1.4153	164  1.4240	8498769442  1.3384
24  5	168  1.4587	171  1.4848	204  1.7713	207  1.7973	10602398413  1.6696
25 N 5	59  0.5123	59  0.5123	87  0.7554	80  0.6946	3790350430  0.5969
26  6	185  1.6063	185  1.6063	171  1.4848	177  1.5369	9966643603  1.5695
27  6	228  1.9797	230  1.9970	194  1.6845	196  1.7018	12109712021  1.9070
28  6	252  2.1881	249  2.1620	280  2.4312	277  2.4051	14729112069  2.3195
29  6	320  2.7785	320  2.7785	327  2.8393	325  2.8219	17910202521  2.8204
30 N 6	114  0.9898	102  0.8856	113  0.9812	109  0.9464	6534760658  1.0291
31  7	269  2.3357	270  2.3444	285  2.4746	290  2.5180	15075437352  2.3740
32  7	346  3.0043	337  2.9261	330  2.8653	329  2.8566	17958650211  2.8281
33  7	361  3.1345	367  3.1866	396  3.4384	399  3.4644	21361994439  3.3640
34  7	469  4.0722	485  4.2112	448  3.8899	460  3.9941	25528480621  4.0201
35 N 7	181  1.5716	187  1.6237	147  1.2764	154  1.3372	9154206125  1.4416
36  8	332  2.8827	327  2.8393	359  3.1171	360  3.1258	18791511418  2.9592
37  8	416  3.6121	424  3.6815	369  3.2040	365  3.1692	22088800625  3.4785
38  8	493  4.2806	493  4.2806	474  4.1157	468  4.0636	26002102208  4.0947
39  8	571  4.9579	551  4.7842	540  4.6887	542  4.7061	30496109913  4.8024
40 N 8	231  2.0057	237  2.0578	212  1.8408	211  1.8321	12173466153  1.9170
41  9	363  3.1519	362  3.1432	329  2.8566	323  2.8045	19155398988  3.0165
42  9	370  3.2126	383  3.3255	395  3.4297	386  3.3516	22679953280  3.5716
43  9	476  4.1330	458  3.9767	497  4.3154	498  4.3240	26645003052  4.1960
44  9	560  4.8624	559  4.8537	555  4.8190	546  4.7408	31116921638  4.9002
45 N 9	258  2.2402	246  2.1360	262  2.2749	265  2.3009	13776418529  2.1695
46  10	291  2.5267	296  2.5701	266  2.3096	265  2.3009	15678126613  2.4689
47  10	294  2.5527	300  2.6048	347  3.0129	360  3.1258	18845651711  2.9678
48  10	395  3.4297	393  3.4123	407  3.5339	411  3.5686	22346330376  3.5190
49  10	507  4.4022	505  4.3848	464  4.0288	465  4.0375	26213758053  4.1281
50 N 10	250  2.1707	264  2.2923	246  2.1360	239  2.0752	13730953401  2.1623
51  11	160  1.3893	155  1.3458	163  1.4153	152  1.3198	9697289588  1.5271
52  11	217  1.8842	213  1.8494	196  1.7018	192  1.6671	11914043914  1.8762
53  11	256  2.2228	259  2.2488	272  2.3617	276  2.3965	14305376462  2.2528
54  11	312  2.7090	312  2.7090	317  2.7525	326  2.8306	16882127404  2.6585
55 N 11	204  1.7713	211  1.8321	222  1.9276	230  1.9970	12637216524  1.9901
56  12	71  0.6165	71  0.6165	87  0.7554	86  0.7467	4042066459  0.6365
57  12	97  0.8422	95  0.8249	94  0.8162	99  0.8596	4996576787  0.7868
58  12	106  0.9204	104  0.9030	108  0.9377	109  0.9464	6084938998  0.9582
59  12	145  1.2590	139  1.2069	137  1.1895	133  1.1548	7241748711  1.1404
60 N 12	179  1.5542	180  1.5629	212  1.8408	202  1.7539	9797000990  1.5428
61  13	20  0.1737	20  0.1737	27  0.2344	26  0.2258	950467974  0.1497
62  13	12  0.1042	14  0.1216	27  0.2344	25  0.2171	1125576093  0.1773
63  13	23  0.1997	24  0.2084	25  0.2171	26  0.2258	1297292873  0.2043
64  13	19  0.1650	19  0.1650	27  0.2344	27  0.2344	1491113912  0.2348
65 N 13	73  0.6338	72  0.6252	100  0.8683	100  0.8683	4372449423  0.6886
U = 66	11517 39.9363	11517 39.9273	11517 40.2186	11517 40.1978	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  0.0087	1  0.0087	9447300  0.0015
3  1	0	0	0	0	21574362  0.0034
4  1	1  0.0087	1  0.0087	1  0.0087	1  0.0087	42527988  0.0067
5 N 1	1  0.0087	0	1  0.0087	1  0.0087	26388851  0.0042
6  2	2  0.0174	1  0.0087	2  0.0174	2  0.0174	84995416  0.0134
7  2	3  0.0260	3  0.0260	4  0.0347	4  0.0347	142224249  0.0224
8  2	4  0.0347	3  0.0260	6  0.0521	6  0.0521	231292299  0.0364
9  2	8  0.0695	9  0.0781	6  0.0521	7  0.0608	363266834  0.0572
10 N 2	3  0.0260	3  0.0260	3  0.0260	3  0.0260	127432564  0.0201
11  3	6  0.0521	7  0.0608	6  0.0521	7  0.0608	493076363  0.0776
12  3	19  0.1650	20  0.1737	15  0.1302	11  0.0955	693513539  0.1092
13  3	22  0.1910	25  0.2171	15  0.1302	18  0.1563	1000823292  0.1576
14  3	31  0.2692	26  0.2258	16  0.1389	18  0.1563	1395369165  0.2197
15 N 3	6  0.0521	9  0.0781	5  0.0434	6  0.0521	517057969  0.0814
16  4	30  0.2605	31  0.2692	27  0.2344	26  0.2258	1644254032  0.2589
17  4	50  0.4341	46  0.3994	39  0.3386	37  0.3213	2174377737  0.3424
18  4	58  0.5036	55  0.4776	52  0.4515	53  0.4602	2890268054  0.4552
19  4	74  0.6425	70  0.6078	78  0.6773	71  0.6165	3825111648  0.6024
20 N 4	26  0.2258	26  0.2258	24  0.2084	28  0.2431	1603391433  0.2525
21  5	86  0.7467	90  0.7815	70  0.6078	64  0.5557	3998705776  0.6297
22  5	96  0.8336	97  0.8422	103  0.8943	96  0.8336	5059967561  0.7968
23  5	115  0.9985	120  1.0419	119  1.0333	114  0.9898	6444920473  1.0149
24  5	139  1.2069	144  1.2503	155  1.3458	151  1.3111	8171172220  1.2868
25 N 5	78  0.6773	81  0.7033	82  0.7120	80  0.6946	3680646693  0.5796
26  6	159  1.3806	152  1.3198	139  1.2069	140  1.2156	7757580348  1.2216
27  6	176  1.5282	171  1.4848	154  1.3372	156  1.3545	9525027771  1.5000
28  6	235  2.0405	238  2.0665	227  1.9710	233  2.0231	11764658491  1.8527
29  6	254  2.2054	245  2.1273	281  2.4399	278  2.4138	14509280677  2.2849
30 N 6	111  0.9638	120  1.0419	96  0.8336	104  0.9030	6740920718  1.0615
31  7	212  1.8408	223  1.9363	219  1.9015	228  1.9797	12379732192  1.9495
32  7	261  2.2662	257  2.2315	253  2.1968	260  2.2575	14970987161  2.3576
33  7	301  2.6135	297  2.5788	339  2.9435	345  2.9956	18071185110  2.8458
34  7	391  3.3950	395  3.4297	396  3.4384	403  3.4992	21830271641  3.4378
35 N 7	208  1.8060	207  1.7973	206  1.7887	196  1.7018	11424585988  1.7991
36  8	283  2.4572	278  2.4138	332  2.8827	332  2.8827	16339498138  2.5731
37  8	371  3.2213	378  3.2821	328  2.8480	328  2.8480	19709383181  3.1038
38  8	457  3.9680	448  3.8899	447  3.8812	441  3.8291	23605758352  3.7174
39  8	532  4.6193	530  4.6019	501  4.3501	502  4.3588	28085928185  4.4229
40 N 8	306  2.6569	306  2.6569	278  2.4138	281  2.4399	16270929517  2.5623
41  9	338  2.9348	323  2.8045	269  2.3357	265  2.3009	17610462720  2.7732
42  9	374  3.2474	380  3.2995	398  3.4558	390  3.3863	21330730539  3.3591
43  9	463  4.0201	465  4.0375	484  4.2025	482  4.1851	25409571822  4.0014
44  9	569  4.9405	576  5.0013	524  4.5498	526  4.5672	30048695498  4.7320
45 N 9	354  3.0737	354  3.0737	374  3.2474	380  3.2995	20125215758  3.1693
46  10	256  2.2228	263  2.2836	267  2.3183	264  2.2923	15180947336  2.3906
47  10	322  2.7959	322  2.7959	337  2.9261	327  2.8393	18360372398  2.8913
48  10	384  3.3342	377  3.2734	415  3.6034	416  3.6121	21797024413  3.4325
49  10	457  3.9680	467  4.0549	434  3.7683	430  3.7336	25500986557  4.0158
50 N 10	423  3.6728	426  3.6989	405  3.5165	413  3.5860	22971290435  3.6174
51  11	180  1.5629	183  1.5890	174  1.5108	182  1.5803	10149896990  1.5984
52  11	205  1.7800	208  1.8060	216  1.8755	212  1.8408	12077115810  1.9019
53  11	255  2.2141	254  2.2054	264  2.2923	259  2.2488	14119413033  2.2235
54  11	271  2.3530	267  2.3183	288  2.5007	306  2.6569	16390731570  2.5812
55 N 11	398  3.4558	396  3.4384	430  3.7336	417  3.6207	22941283147  3.6127
56  12	97  0.8422	93  0.8075	95  0.8249	98  0.8509	5500720419  0.8662
57  12	110  0.9551	107  0.9291	110  0.9551	114  0.9898	6227026988  0.9806
58  12	134  1.1635	124  1.0767	131  1.1374	126  1.0940	7033151127  1.1076
59  12	166  1.4413	170  1.4761	141  1.2243	140  1.2156	7852931458  1.2367
60 N 12	334  2.9001	342  2.9695	346  3.0043	353  3.0650	17849476370  2.8109
61  13	37  0.3213	37  0.3213	52  0.4515	48  0.4168	2037906651  0.3209
62  13	37  0.3213	35  0.3039	49  0.4255	50  0.4341	2187019556  0.3444
63  13	42  0.3647	40  0.3473	43  0.3734	45  0.3907	2314542960  0.3645
64  13	39  0.3386	37  0.3213	35  0.3039	30  0.2605	2451437963  0.3860
65 N 13	157  1.3632	159  1.3806	210  1.8234	212  1.8408	9913593383  1.5612
U = 66	11517 41.8253	11517 41.8217	11517 42.1265	11517 42.1420	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	2190 19.0154	2185 18.9720	2175 18.8851	2172 18.8591	119358998783 18.7963
1 1	269  2.3357	270  2.3444	285  2.4746	290  2.5180	15075437352  2.3740
2 1	346  3.0043	337  2.9261	330  2.8653	329  2.8566	17958650211  2.8281
3 1	361  3.1345	367  3.1866	396  3.4384	399  3.4644	21361994439  3.3640
4 1	469  4.0722	485  4.2112	448  3.8899	460  3.9941	25528480621  4.0201
5 1 N	181  1.5716	187  1.6237	147  1.2764	154  1.3372	9154206126  1.4416
6 2	332  2.8827	327  2.8393	359  3.1171	360  3.1258	18791511418  2.9592
7 2	416  3.6121	424  3.6815	369  3.2040	365  3.1692	22088800625  3.4785
8 2	493  4.2806	493  4.2806	474  4.1157	468  4.0636	26002102208  4.0947
9 2	571  4.9579	551  4.7842	540  4.6887	542  4.7061	30496109913  4.8024
10 3	282  2.4486	280  2.4312	264  2.2923	264  2.2923	15168880833  2.3887
11 3	294  2.5527	296  2.5701	296  2.5701	295  2.5614	17647767441  2.7791
12 2 N	388  3.3689	406  3.5252	376  3.2647	361  3.1345	21192170146  3.3373
13 4	150  1.3024	154  1.3372	155  1.3458	155  1.3458	8352078922  1.3153
14 4	155  1.3458	165  1.4327	188  1.6324	196  1.7018	10306791805  1.6231
15 3	544  4.7235	526  4.5672	565  4.9058	564  4.8971	30412174290  4.7892
16 3	632  5.4875	621  5.3920	619  5.3747	616  5.3486	35369266210  5.5698
17 3 N	398  3.4558	393  3.4123	400  3.4731	403  3.4992	21621810315  3.4049
18 5	75  0.6512	75  0.6512	81  0.7033	81  0.7033	4918954504  0.7746
19 5	118  1.0246	119  1.0333	95  0.8249	99  0.8596	6307419874  0.9933
20 4	437  3.7944	436  3.7857	454  3.9420	452  3.9246	24619813919  3.8771
21 4	556  4.8276	551  4.7842	504  4.3761	501  4.3501	28756868129  4.5285
22 4 N	343  2.9782	349  3.0303	342  2.9695	326  2.8306	19299318906  3.0392
23 5	256  2.2228	259  2.2488	272  2.3617	276  2.3965	14305376462  2.2528
24 5	312  2.7090	312  2.7090	317  2.7525	326  2.8306	16882127404  2.6585
25 5 N	204  1.7713	211  1.8321	222  1.9276	230  1.9970	12637216524  1.9901
26 6	71  0.6165	71  0.6165	87  0.7554	86  0.7467	4042066459  0.6365
27 6	97  0.8422	95  0.8249	94  0.8162	99  0.8596	4996576787  0.7868
28 6	106  0.9204	104  0.9030	108  0.9377	109  0.9464	6084938998  0.9582
29 6	145  1.2590	139  1.2069	137  1.1895	133  1.1548	7241748711  1.1404
30 6 N	179  1.5542	180  1.5629	212  1.8408	202  1.7539	9797000990  1.5428
31 7	20  0.1737	20  0.1737	27  0.2344	26  0.2258	950467974  0.1497
32 7	12  0.1042	14  0.1216	27  0.2344	25  0.2171	1125576093  0.1773
33 7	23  0.1997	24  0.2084	25  0.2171	26  0.2258	1297292873  0.2043
34 7	19  0.1650	19  0.1650	27  0.2344	27  0.2344	1491113912  0.2348
35 7 N	73  0.6338	72  0.6252	100  0.8683	100  0.8683	4372449423  0.6886
U = 36	11517 11.3469	11517 11.3380	11517 11.5698	11517 11.5472	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  0.0175	0	1  0.0087
2 80	20  0.3501	8  0.1378	28  0.2431
3 90	181  3.1682	159  2.7395	340  2.9522
4 100	894 15.6485	902 15.5410	1796 15.5943
5 110	239  4.1834	245  4.2212	484  4.2025
6 120	237  4.1484	230  3.9628	467  4.0549
7 130	221  3.8684	219  3.7733	440  3.8204
8 140	622 10.8874	666 11.4748	1288 11.1835
10 300	301  5.2687	295  5.0827	596  5.1750
11 400	479  8.3844	450  7.7533	929  8.0663
12 420	670 11.7276	654 11.2681	1324 11.4960
13 430	343  6.0039	342  5.8925	685  5.9477
14 450	517  9.0495	539  9.2867	1056  9.1691
15 460	224  3.9209	236  4.0662	460  3.9941
16 500	24  0.4201	25  0.4307	49  0.4255
22 800	57  0.9977	55  0.9476	112  0.9725
23 920	131  2.2930	143  2.4638	274  2.3791
24 980	213  3.7283	214  3.6871	427  3.7076
25 990	192  3.3608	220  3.7905	412  3.5773
26 1100	5  0.0875	8  0.1378	13  0.1129
28 1400	6  0.1050	8  0.1378	14  0.1216
30 1440	23  0.4026	39  0.6720	62  0.5383
31 1510	40  0.7002	47  0.8098	87  0.7554
32 1520	73  1.2778	100  1.7229	173  1.5021
U = 25	5713 11.1680	5804 11.4819	11517 11.3262

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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  0.0175	0	1  0.0087
2 80	20  0.3501	8  0.1378	28  0.2431
3 90	181  3.1682	159  2.7395	340  2.9522
4 100	894 15.6485	0	894  7.7624
5 110	239  4.1834	590 10.1654	829  7.1981
6 120	237  4.1484	310  5.3411	547  4.7495
7 130	221  3.8684	278  4.7898	499  4.3327
8 140	622 10.8874	929 16.0062	1551 13.4670
9 200	0	155  2.6706	155  1.3458
10 300	301  5.2687	0	301  2.6135
11 400	0	532  9.1661	532  4.6193
12 420	0	803 13.8353	803  6.9723
13 430	0	360  6.2026	360  3.1258
14 450	0	575  9.9070	575  4.9926
15 460	0	237  4.0834	237  2.0578
16 500	497  8.6995	9  0.1551	506  4.3935
17 600	345  6.0389	0	345  2.9956
18 620	440  7.7017	0	440  3.8204
19 630	305  5.3387	0	305  2.6483
20 650	449  7.8593	0	449  3.8986
21 660	221  3.8684	0	221  1.9189
22 800	57  0.9977	25  0.4307	82  0.7120
23 920	0	169  2.9118	169  1.4674
24 980	0	234  4.0317	234  2.0318
25 990	0	225  3.8766	225  1.9536
26 1100	89  1.5579	4  0.0689	93  0.8075
27 1370	99  1.7329	0	99  0.8596
28 1400	88  1.5403	8  0.1378	96  0.8336
29 1430	106  1.8554	0	106  0.9204
30 1440	165  2.8881	43  0.7409	208  1.8060
31 1510	0	51  0.8787	51  0.4428
32 1520	0	100  1.7229	100  0.8683
33 1700	9  0.1575	0	9  0.0781
34 2000	7  0.1225	0	7  0.0608
35 2140	14  0.2451	0	14  0.1216
36 2210	33  0.5776	0	33  0.2865
37 2220	73  1.2778	0	73  0.6338
U = 38	5713 13.8467	5804 12.0727	11517 12.9527

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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  0.0175	0	1  0.0087
2 80	20  0.3501	8  0.1378	28  0.2431
3 90	181  3.1682	159  2.7395	340  2.9522
4 100	0	902 15.5410	902  7.8319
5 110	603 10.5549	245  4.2212	848  7.3630
6 120	335  5.8638	230  3.9628	565  4.9058
7 130	258  4.5160	219  3.7733	477  4.1417
8 140	873 15.2809	666 11.4748	1539 13.3629
9 200	144  2.5206	0	144  1.2503
10 300	0	295  5.0827	295  2.5614
11 400	558  9.7672	0	558  4.8450
12 420	838 14.6683	0	838  7.2762
13 430	361  6.3189	0	361  3.1345
14 450	547  9.5747	0	547  4.7495
15 460	224  3.9209	0	224  1.9450
16 500	6  0.1050	517  8.9076	523  4.5411
17 600	0	303  5.2205	303  2.6309
18 620	0	430  7.4087	430  3.7336
19 630	0	308  5.3067	308  2.6743
20 650	0	459  7.9083	459  3.9854
21 660	0	229  3.9456	229  1.9884
22 800	24  0.4201	55  0.9476	79  0.6859
23 920	158  2.7656	0	158  1.3719
24 980	238  4.1659	0	238  2.0665
25 990	195  3.4133	0	195  1.6931
26 1100	2  0.0350	96  1.6540	98  0.8509
27 1370	0	113  1.9469	113  0.9812
28 1400	5  0.0875	73  1.2578	78  0.6773
29 1430	0	123  2.1192	123  1.0680
30 1440	28  0.4901	188  3.2391	216  1.8755
31 1510	41  0.7177	0	41  0.3560
32 1520	73  1.2778	0	73  0.6338
33 1700	0	14  0.2412	14  0.1216
34 2000	0	11  0.1895	11  0.0955
35 2140	0	18  0.3101	18  0.1563
36 2210	0	43  0.7409	43  0.3734
37 2220	0	100  1.7229	100  0.8683
U = 38	5713 11.7423	5804 14.1701	11517 12.9658

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Par Both vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0175	0	1  0.0087
2 80	20  0.3501	8  0.1378	28  0.2431
3 90	181  3.1682	159  2.7395	340  2.9522
5 110	603 10.5549	590 10.1654	1193 10.3586
6 120	335  5.8638	310  5.3411	645  5.6004
7 130	258  4.5160	278  4.7898	536  4.6540
8 140	873 15.2809	929 16.0062	1802 15.6464
9 200	144  2.5206	155  2.6706	299  2.5962
16 500	301  5.2687	295  5.0827	596  5.1750
17 600	479  8.3844	450  7.7533	929  8.0663
18 620	670 11.7276	654 11.2681	1324 11.4960
19 630	343  6.0039	342  5.8925	685  5.9477
20 650	517  9.0495	539  9.2867	1056  9.1691
21 660	224  3.9209	236  4.0662	460  3.9941
22 800	24  0.4201	25  0.4307	49  0.4255
26 1100	57  0.9977	55  0.9476	112  0.9725
27 1370	131  2.2930	143  2.4638	274  2.3791
28 1400	57  0.9977	66  1.1371	123  1.0680
29 1430	168  2.9407	168  2.8946	336  2.9174
30 1440	185  3.2382	208  3.5837	393  3.4123
33 1700	6  0.1050	8  0.1378	14  0.1216
34 2000	9  0.1575	14  0.2412	23  0.1997
35 2140	17  0.2976	26  0.4480	43  0.3734
36 2210	37  0.6476	46  0.7926	83  0.7207
37 2220	73  1.2778	100  1.7229	173  1.5021
U = 26	5713 14.8734	5804 15.2066	11517 15.0413

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LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1646	1  0.0823	0	0
13	117  9.6296	94  7.7366	106  8.7243	80  6.5844
14	582 47.9012	550 45.2675	586 48.2305	561 46.1728
15	430 35.3909	473 38.9300	435 35.8025	472 38.8477
16	79  6.5021	92  7.5720	83  6.8313	97  7.9835
17	4  0.3292	4  0.3292	4  0.3292	4  0.3292
18	0	0	0	0
19	0	0	0	0
20	1  0.0823	1  0.0823	1  0.0823	1  0.0823
U = 9	1215 14.3992	1215 14.4765	1215 14.4222	1215 14.4971

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1631	2  0.1631	0	0
13	15  1.2235	13  1.0604	13  1.0604	9  0.7341
14	174 14.1925	144 11.7455	177 14.4372	148 12.0718
15	604 49.2659	598 48.7765	603 49.1843	600 48.9396
16	370 30.1794	400 32.6264	371 30.2610	399 32.5449
17	57  4.6493	65  5.3018	58  4.7308	66  5.3834
18	4  0.3263	4  0.3263	4  0.3263	4  0.3263
U = 7	1226 15.2333	1226 15.2985	1226 15.2414	1226 15.3075

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	3  0.0978	3  0.0978	0	0
13	17  0.5545	15  0.4892	4  0.1305	2  0.0652
14	117  3.8160	101  3.2942	89  2.9028	68  2.2179
15	653 21.2981	607 19.7978	638 20.8089	596 19.4390
16	1284 41.8787	1280 41.7482	1326 43.2485	1311 42.7593
17	778 25.3751	823 26.8428	788 25.7012	846 27.5930
18	184  6.0013	203  6.6210	188  6.1318	209  6.8167
19	26  0.8480	29  0.9459	30  0.9785	29  0.9459
20	3  0.0978	4  0.1305	2  0.0652	4  0.1305
21	0	0	0	0
22	1  0.0326	1  0.0326	1  0.0326	1  0.0326
U = 11	3066 16.0952	3066 16.1539	3066 16.1435	3066 16.2071

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0369	1  0.0369	0	0
11	0	0	0	0
12	0	0	0	0
13	4  0.1476	3  0.1107	1  0.0369	1  0.0369
14	16  0.5904	13  0.4797	7  0.2583	6  0.2214
15	139  5.1292	119  4.3911	125  4.6125	105  3.8745
16	589 21.7343	562 20.7380	588 21.6974	547 20.1845
17	1072 39.5572	1076 39.7048	1086 40.0738	1098 40.5166
18	683 25.2030	711 26.2362	697 25.7196	723 26.6790
19	186  6.8635	203  7.4908	185  6.8266	207  7.6384
20	20  0.7380	22  0.8118	21  0.7749	23  0.8487
U = 11	2710 17.0653	2710 17.1199	2710 17.0985	2710 17.1576

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	12  0.6842	10  0.5701	9  0.5131	8  0.4561
16	125  7.1266	114  6.4994	112  6.3854	102  5.8153
17	429 24.4584	415 23.6602	419 23.8883	400 22.8050
18	652 37.1722	652 37.1722	657 37.4572	656 37.4002
19	373 21.2657	383 21.8358	389 22.1779	401 22.8620
20	131  7.4686	144  8.2098	132  7.5257	150  8.5519
21	30  1.7104	32  1.8244	33  1.8814	31  1.7674
22	1  0.0570	3  0.1710	2  0.1140	5  0.2851
23	1  0.0570	1  0.0570	1  0.0570	1  0.0570
U = 9	1754 18.0108	1754 18.0633	1754 18.0542	1754 18.1089

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
16	13  1.2658	10  0.9737	13  1.2658	10  0.9737
17	131 12.7556	127 12.3661	111 10.8082	108 10.5161
18	282 27.4586	274 26.6796	291 28.3350	277 26.9718
19	332 32.3272	331 32.2298	327 31.8403	335 32.6193
20	207 20.1558	219 21.3242	219 21.3242	228 22.2006
21	55  5.3554	56  5.4528	58  5.6475	59  5.7449
22	6  0.5842	9  0.8763	7  0.6816	9  0.8763
23	1  0.0974	1  0.0974	1  0.0974	1  0.0974
U = 8	1027 18.7624	1027 18.8092	1027 18.8130	1027 18.8578

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	15  4.0761	15  4.0761	10  2.7174	10  2.7174
18	71 19.2935	69 18.7500	65 17.6630	64 17.3913
19	100 27.1739	98 26.6304	106 28.8043	103 27.9891
20	113 30.7065	109 29.6196	114 30.9783	110 29.8913
21	50 13.5870	53 14.4022	51 13.8587	55 14.9457
22	16  4.3478	19  5.1630	19  5.1630	20  5.4348
23	3  0.8152	5  1.3587	3  0.8152	6  1.6304
U = 7	368 19.4674	368 19.5245	368 19.5435	368 19.5978

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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 11,517 deals

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© 2019 Richard Pavlicek