Main   Stats 8H30 by Richard Pavlicek  

IMP Matches thru 4-17-19

Double-dummy stats for 10,534 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 of 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	198  1.8796	197  1.8701	142  1.3480	145  1.3765	9913593383  1.5612
1	408  3.8732	400  3.7972	391  3.7118	397  3.7687	23145762677  3.6449
2	630  5.9806	648  6.1515	599  5.6863	594  5.6389	37977932067  5.9806
3	857  8.1356	861  8.1735	900  8.5438	890  8.4488	52871069846  8.3260
4	1152 10.9360	1152 10.9360	1077 10.2240	1079 10.2430	67524194742 10.6335
5	1295 12.2935	1279 12.1416	1346 12.7777	1349 12.8062	80101714628 12.6142
6	1496 14.2016	1479 14.0403	1542 14.6383	1549 14.7048	90730441332 14.2880
7	1389 13.1859	1386 13.1574	1356 12.8726	1369 12.9960	84402158672 13.2914
8	1183 11.2303	1208 11.4676	1170 11.1069	1159 11.0025	71237104568 11.2182
9	817  7.7558	803  7.6229	810  7.6894	814  7.7274	47702049563  7.5120
10	543  5.1547	554  5.2592	542  5.1452	529  5.0218	32569065440  5.1289
11	313  2.9713	311  2.9523	342  3.2466	352  3.3416	20600866092  3.2442
12	187  1.7752	191  1.8132	226  2.1454	217  2.0600	11865157167  1.8685
13	66  0.6265	65  0.6170	91  0.8639	91  0.8639	4372449423  0.6886
U = 14	10534  5.9629	10534  5.9661	10534  6.0564	10534  6.0509	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	118  1.1202	119  1.1297	93  0.8829	93  0.8829	6949893015  1.0944
1	301  2.8574	298  2.8289	321  3.0473	326  3.0947	17646817412  2.7790
2	573  5.4395	564  5.3541	508  4.8225	501  4.7560	32992452829  5.1956
3	812  7.7084	816  7.7463	834  7.9172	852  8.0881	50476652542  7.9489
4	1101 10.4519	1110 10.5373	1121 10.6417	1117 10.6038	66372975438 10.4522
5	1251 11.8758	1263 11.9897	1351 12.8251	1338 12.7017	77821925315 12.2552
6	1352 12.8346	1335 12.6732	1375 13.0530	1375 13.0530	82551854345 13.0000
7	1388 13.1764	1378 13.0815	1280 12.1511	1283 12.1796	80760822737 12.7180
8	1239 11.7619	1252 11.8853	1186 11.2588	1192 11.3157	73465633954 11.5691
9	987  9.3697	980  9.3032	1007  9.5595	1008  9.5690	60489162482  9.5256
10	742  7.0439	744  7.0628	730  6.9299	717  6.8065	43661750688  6.8757
11	418  3.9681	427  4.0535	457  4.3383	468  4.4428	26377787548  4.1539
12	209  1.9841	207  1.9651	217  2.0600	206  1.9556	12128527136  1.9100
13	43  0.4082	41  0.3892	54  0.5126	58  0.5506	3317304159  0.5224
U = 14	10534  6.2892	10534  6.2915	10534  6.3102	10534  6.3058	635013559600  6.2957

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Heart make = sm

Value	North	South	West	East	Empirical
0	126  1.1961	125  1.1866	112  1.0632	109  1.0347	6949893015  1.0944
1	317  3.0093	320  3.0378	301  2.8574	301  2.8574	17646817412  2.7790
2	587  5.5724	586  5.5629	548  5.2022	544  5.1642	32992452829  5.1956
3	852  8.0881	853  8.0976	812  7.7084	818  7.7653	50476652542  7.9489
4	1100 10.4424	1100 10.4424	1093 10.3759	1096 10.4044	66372975438 10.4522
5	1283 12.1796	1292 12.2650	1290 12.2461	1287 12.2176	77821925315 12.2552
6	1372 13.0245	1350 12.8156	1314 12.4739	1307 12.4074	82551854345 13.0000
7	1292 12.2650	1299 12.3315	1342 12.7397	1366 12.9675	80760822737 12.7180
8	1192 11.3157	1205 11.4391	1208 11.4676	1191 11.3062	73465633954 11.5691
9	986  9.3602	974  9.2463	1019  9.6734	1033  9.8063	60489162482  9.5256
10	732  6.9489	732  6.9489	747  7.0913	733  6.9584	43661750688  6.8757
11	441  4.1864	449  4.2624	463  4.3953	469  4.4522	26377787548  4.1539
12	198  1.8796	193  1.8322	218  2.0695	213  2.0220	12128527136  1.9100
13	56  0.5316	56  0.5316	67  0.6360	67  0.6360	3317304159  0.5224
U = 14	10534  6.2486	10534  6.2477	10534  6.3431	10534  6.3420	635013559600  6.2957

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Diamond make = sm

Value	North	South	West	East	Empirical
0	136  1.2911	137  1.3006	94  0.8923	96  0.9113	6949893015  1.0944
1	292  2.7720	292  2.7720	311  2.9523	302  2.8669	17646817412  2.7790
2	545  5.1737	545  5.1737	510  4.8415	513  4.8699	32992452829  5.1956
3	881  8.3634	881  8.3634	794  7.5375	795  7.5470	50476652542  7.9489
4	1090 10.3474	1087 10.3190	1118 10.6133	1124 10.6702	66372975438 10.4522
5	1209 11.4771	1218 11.5626	1391 13.2049	1389 13.1859	77821925315 12.2552
6	1396 13.2523	1391 13.2049	1337 12.6922	1332 12.6448	82551854345 13.0000
7	1343 12.7492	1324 12.5688	1339 12.7112	1349 12.8062	80760822737 12.7180
8	1295 12.2935	1295 12.2935	1182 11.2208	1176 11.1639	73465633954 11.5691
9	1010  9.5880	1022  9.7019	1011  9.5975	999  9.4836	60489162482  9.5256
10	655  6.2180	657  6.2369	740  7.0249	749  7.1103	43661750688  6.8757
11	435  4.1295	434  4.1200	423  4.0156	427  4.0535	26377787548  4.1539
12	206  1.9556	211  2.0030	218  2.0695	218  2.0695	12128527136  1.9100
13	41  0.3892	40  0.3797	66  0.6265	65  0.6170	3317304159  0.5224
U = 14	10534  6.2651	10534  6.2684	10534  6.3240	10534  6.3258	635013559600  6.2957

Top     Main

Club make = sm

Value	North	South	West	East	Empirical
0	138  1.3100	141  1.3385	108  1.0253	107  1.0158	6949893015  1.0944
1	301  2.8574	290  2.7530	290  2.7530	291  2.7625	17646817412  2.7790
2	546  5.1832	551  5.2307	526  4.9934	523  4.9649	32992452829  5.1956
3	784  7.4426	803  7.6229	828  7.8603	842  7.9932	50476652542  7.9489
4	1116 10.5943	1115 10.5848	1103 10.4709	1089 10.3380	66372975438 10.4522
5	1417 13.4517	1415 13.4327	1227 11.6480	1212 11.5056	77821925315 12.2552
6	1346 12.7777	1330 12.6258	1348 12.7967	1374 13.0435	82551854345 13.0000
7	1341 12.7302	1333 12.6543	1368 12.9865	1363 12.9391	80760822737 12.7180
8	1163 11.0404	1176 11.1639	1307 12.4074	1319 12.5214	73465633954 11.5691
9	975  9.2557	974  9.2463	1018  9.6639	1011  9.5975	60489162482  9.5256
10	738  7.0059	734  6.9679	672  6.3793	679  6.4458	43661750688  6.8757
11	417  3.9586	422  4.0061	433  4.1105	424  4.0251	26377787548  4.1539
12	199  1.8891	198  1.8796	231  2.1929	225  2.1359	12128527136  1.9100
13	53  0.5031	52  0.4936	75  0.7120	75  0.7120	3317304159  0.5224
U = 14	10534  6.2540	10534  6.2517	10534  6.3494	10534  6.3455	635013559600  6.2957

Top     Main

Longest fit = lf

Value	North	South	West	East	Theoretical
7	1682 15.9673	1682 15.9673	1672 15.8724	1672 15.8724	13006498437504 15.7363
8	4787 45.4433	4787 45.4433	4803 45.5952	4803 45.5952	37809373653909 45.7447
9	2992 28.4033	2992 28.4033	3025 28.7165	3025 28.7165	23225440992325 28.0999
10	915  8.6862	915  8.6862	861  8.1735	861  8.1735	7168401039800  8.6729
11	144  1.3670	144  1.3670	153  1.4524	153  1.4524	1307227435020  1.5816
12	14  0.1329	14  0.1329	20  0.1899	20  0.1899	130732315831  0.1582
13	0	0	0	0	5414950295  0.0066
U = 7	10534  8.3444	10534  8.3444	10534  8.3431	10534  8.3431	82653088824684  8.3512

Top     Main

Longest fit make = lm

Value	North	South	West	East	Empirical
0	0	0	1  0.0095	1  0.0095	22876394  0.0036
1	4  0.0380	5  0.0475	4  0.0380	5  0.0475	251246691  0.0396
2	28  0.2658	25  0.2373	28  0.2658	28  0.2658	1556124656  0.2451
3	109  1.0347	111  1.0537	82  0.7784	83  0.7879	5892722789  0.9280
4	269  2.5536	275  2.6106	274  2.6011	273  2.5916	16409883547  2.5842
5	609  5.7813	610  5.7908	632  5.9996	627  5.9522	35643298455  5.6130
6	1020  9.6829	1015  9.6355	1002  9.5121	1004  9.5310	62031256233  9.7685
7	1505 14.2871	1509 14.3250	1471 13.9643	1493 14.1732	89999744190 14.1729
8	1869 17.7425	1869 17.7425	1806 17.1445	1794 17.0306	110099842849 17.3382
9	1850 17.5622	1834 17.4103	1865 17.7046	1858 17.6381	113173167471 17.8222
10	1590 15.0940	1606 15.2459	1574 14.9421	1577 14.9706	95919764225 15.1052
11	1033  9.8063	1031  9.7874	1061 10.0721	1064 10.1006	64150449024 10.1022
12	519  4.9269	513  4.8699	560  5.3161	552  5.2402	31112561346  4.8995
13	129  1.2246	131  1.2436	174  1.6518	175  1.6613	8750621730  1.3780
U = 14	10534  8.3475	10534  8.3453	10534  8.4011	10534  8.3975	635013559600  8.3753

Top     Main

Best fit = bf

Value	North	South	West	East	Empirical
5	0	0	2  0.0190	2  0.0190	10461673  0.0016
6	18  0.1709	15  0.1424	13  0.1234	16  0.1519	1222077835  0.1924
7	1786 16.9546	1787 16.9641	1755 16.6603	1751 16.6224	105351212255 16.5904
8	4729 44.8927	4734 44.9402	4774 45.3199	4775 45.3294	287234089436 45.2327
9	2936 27.8717	2935 27.8622	2966 28.1564	2966 28.1564	175437245133 27.6273
10	908  8.6197	906  8.6007	853  8.0976	852  8.0881	54701014789  8.6141
11	143  1.3575	143  1.3575	151  1.4335	152  1.4429	10008187498  1.5761
12	14  0.1329	14  0.1329	20  0.1899	20  0.1899	1006364496  0.1585
13	0	0	0	0	42906485  0.0068
U = 9	10534  8.3242	10534  8.3242	10534  8.3245	10534  8.3244	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  0.0190	2  0.0190	3  0.0285	3  0.0285	132231913  0.0208
2	24  0.2278	22  0.2088	23  0.2183	23  0.2183	1339624042  0.2110
3	106  1.0063	108  1.0253	80  0.7594	83  0.7879	5671089748  0.8931
4	264  2.5062	268  2.5441	272  2.5821	266  2.5252	16177592015  2.5476
5	596  5.6579	599  5.6863	630  5.9806	628  5.9616	35415185536  5.5771
6	1022  9.7019	1019  9.6734	986  9.3602	991  9.4076	61775936908  9.7283
7	1499 14.2301	1505 14.2871	1466 13.9168	1488 14.1257	89711329037 14.1275
8	1869 17.7425	1862 17.6761	1809 17.1730	1797 17.0590	109962826727 17.3166
9	1861 17.6666	1845 17.5147	1870 17.7520	1857 17.6286	113305081446 17.8429
10	1589 15.0845	1604 15.2269	1581 15.0085	1588 15.0750	96187452851 15.1473
11	1034  9.8158	1038  9.8538	1062 10.0816	1066 10.1196	64547826059 10.1648
12	536  5.0883	528  5.0123	575  5.4585	566  5.3731	31646530587  4.9836
13	132  1.2531	134  1.2721	177  1.6803	178  1.6898	9139338741  1.4392
U = 14	10534  8.3674	10534  8.3656	10534  8.4204	10534  8.4170	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	0	1  0.0095	1  0.0095	11612306  0.0018
3  1	0	0	0	0	25874094  0.0041
4  1	1  0.0095	1  0.0095	1  0.0095	1  0.0095	53231899  0.0084
5 N 1	1  0.0095	1  0.0095	1  0.0095	1  0.0095	36956503  0.0058
6  2	2  0.0190	2  0.0190	4  0.0380	4  0.0380	120316810  0.0189
7  2	2  0.0190	2  0.0190	6  0.0570	6  0.0570	198635528  0.0313
8  2	8  0.0759	8  0.0759	6  0.0570	6  0.0570	326628269  0.0514
9  2	9  0.0854	8  0.0759	5  0.0475	5  0.0475	500918833  0.0789
10 N 2	3  0.0285	2  0.0190	2  0.0190	2  0.0190	185145875  0.0292
11  3	10  0.0949	9  0.0854	8  0.0759	9  0.0854	708986520  0.1116
12  3	27  0.2563	30  0.2848	18  0.1709	19  0.1804	998658286  0.1573
13  3	25  0.2373	24  0.2278	19  0.1804	20  0.1899	1395338886  0.2197
14  3	33  0.3133	35  0.3323	23  0.2183	23  0.2183	1910125869  0.3008
15 N 3	10  0.0949	8  0.0759	12  0.1139	12  0.1139	600509115  0.0946
16  4	47  0.4462	48  0.4557	37  0.3512	36  0.3418	2289229042  0.3605
17  4	41  0.3892	39  0.3702	53  0.5031	53  0.5031	2994612265  0.4716
18  4	59  0.5601	59  0.5601	64  0.6076	63  0.5981	3903975403  0.6148
19  4	89  0.8449	94  0.8923	87  0.8259	83  0.7879	5081012026  0.8001
20 N 4	25  0.2373	27  0.2563	24  0.2278	27  0.2563	1713322270  0.2698
21  5	112  1.0632	112  1.0632	88  0.8354	87  0.8259	5390835002  0.8489
22  5	126  1.1961	128  1.2151	130  1.2341	129  1.2246	6765583620  1.0654
23  5	150  1.4240	146  1.3860	145  1.3765	146  1.3860	8498769442  1.3384
24  5	149  1.4145	154  1.4619	186  1.7657	188  1.7847	10602398413  1.6696
25 N 5	52  0.4936	51  0.4841	82  0.7784	75  0.7120	3790350430  0.5969
26  6	169  1.6043	169  1.6043	149  1.4145	158  1.4999	9966643603  1.5695
27  6	206  1.9556	210  1.9935	174  1.6518	178  1.6898	12109712021  1.9070
28  6	236  2.2404	233  2.2119	255  2.4207	253  2.4017	14729112069  2.3195
29  6	296  2.8099	296  2.8099	296  2.8099	294  2.7910	17910202521  2.8204
30 N 6	104  0.9873	96  0.9113	103  0.9778	99  0.9398	6534760658  1.0291
31  7	252  2.3923	251  2.3828	252  2.3923	253  2.4017	15075437352  2.3740
32  7	324  3.0758	316  2.9998	302  2.8669	303  2.8764	17958650211  2.8281
33  7	333  3.1612	336  3.1897	358  3.3985	359  3.4080	21361994439  3.3640
34  7	426  4.0440	441  4.1864	408  3.8732	419  3.9776	25528480621  4.0201
35 N 7	157  1.4904	160  1.5189	136  1.2911	142  1.3480	9154206125  1.4416
36  8	295  2.8005	292  2.7720	335  3.1802	337  3.1992	18791511418  2.9592
37  8	381  3.6169	389  3.6928	335  3.1802	329  3.1232	22088800625  3.4785
38  8	462  4.3858	459  4.3573	431  4.0915	426  4.0440	26002102208  4.0947
39  8	523  4.9649	505  4.7940	495  4.6991	497  4.7181	30496109913  4.8024
40 N 8	205  1.9461	214  2.0315	194  1.8417	194  1.8417	12173466153  1.9170
41  9	338  3.2087	339  3.2182	303  2.8764	298  2.8289	19155398988  3.0165
42  9	339  3.2182	349  3.3131	364  3.4555	357  3.3890	22679953280  3.5716
43  9	436  4.1390	418  3.9681	457  4.3383	457  4.3383	26645003052  4.1960
44  9	508  4.8225	510  4.8415	517  4.9079	508  4.8225	31116921638  4.9002
45 N 9	231  2.1929	222  2.1075	244  2.3163	248  2.3543	13776418529  2.1695
46  10	270  2.5631	275  2.6106	253  2.4017	248  2.3543	15678126613  2.4689
47  10	265  2.5157	271  2.5726	327  3.1042	337  3.1992	18845651711  2.9678
48  10	364  3.4555	360  3.4175	376  3.5694	380  3.6074	22346330376  3.5190
49  10	475  4.5092	469  4.4522	419  3.9776	417  3.9586	26213758053  4.1281
50 N 10	233  2.2119	244  2.3163	213  2.0220	211  2.0030	13730953401  2.1623
51  11	143  1.3575	139  1.3195	146  1.3860	138  1.3100	9697289588  1.5271
52  11	204  1.9366	199  1.8891	178  1.6898	176  1.6708	11914043914  1.8762
53  11	232  2.2024	233  2.2119	257  2.4397	259  2.4587	14305376462  2.2528
54  11	285  2.7055	285  2.7055	294  2.7910	301  2.8574	16882127404  2.6585
55 N 11	189  1.7942	199  1.8891	203  1.9271	210  1.9935	12637216524  1.9901
56  12	60  0.5696	60  0.5696	78  0.7405	78  0.7405	4042066459  0.6365
57  12	90  0.8544	88  0.8354	86  0.8164	91  0.8639	4996576787  0.7868
58  12	99  0.9398	96  0.9113	97  0.9208	98  0.9303	6084938998  0.9582
59  12	133  1.2626	126  1.1961	126  1.1961	124  1.1771	7241748711  1.1404
60 N 12	155  1.4714	160  1.5189	189  1.7942	181  1.7182	9797000990  1.5428
61  13	18  0.1709	18  0.1709	23  0.2183	22  0.2088	950467974  0.1497
62  13	11  0.1044	13  0.1234	22  0.2088	20  0.1899	1125576093  0.1773
63  13	22  0.2088	23  0.2183	23  0.2183	24  0.2278	1297292873  0.2043
64  13	18  0.1709	18  0.1709	23  0.2183	23  0.2183	1491113912  0.2348
65 N 13	66  0.6265	65  0.6170	91  0.8639	91  0.8639	4372449423  0.6886
U = 66	10534 39.9517	10534 39.9426	10534 40.2266	10534 40.2137	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  0.0095	1  0.0095	9447300  0.0015
3  1	0	0	0	0	21574362  0.0034
4  1	1  0.0095	1  0.0095	1  0.0095	1  0.0095	42527988  0.0067
5 N 1	1  0.0095	0	1  0.0095	1  0.0095	26388851  0.0042
6  2	2  0.0190	1  0.0095	2  0.0190	2  0.0190	84995416  0.0134
7  2	2  0.0190	2  0.0190	3  0.0285	3  0.0285	142224249  0.0224
8  2	4  0.0380	3  0.0285	6  0.0570	6  0.0570	231292299  0.0364
9  2	6  0.0570	7  0.0665	6  0.0570	7  0.0665	363266834  0.0572
10 N 2	3  0.0285	3  0.0285	2  0.0190	2  0.0190	127432564  0.0201
11  3	4  0.0380	6  0.0570	5  0.0475	6  0.0570	493076363  0.0776
12  3	18  0.1709	19  0.1804	13  0.1234	10  0.0949	693513539  0.1092
13  3	19  0.1804	22  0.2088	13  0.1234	15  0.1424	1000823292  0.1576
14  3	29  0.2753	24  0.2278	14  0.1329	16  0.1519	1395369165  0.2197
15 N 3	5  0.0475	8  0.0759	5  0.0475	6  0.0570	517057969  0.0814
16  4	28  0.2658	29  0.2753	26  0.2468	25  0.2373	1644254032  0.2589
17  4	44  0.4177	41  0.3892	38  0.3607	36  0.3418	2174377737  0.3424
18  4	53  0.5031	49  0.4652	45  0.4272	46  0.4367	2890268054  0.4552
19  4	69  0.6550	67  0.6360	73  0.6930	67  0.6360	3825111648  0.6024
20 N 4	26  0.2468	26  0.2468	23  0.2183	26  0.2468	1603391433  0.2525
21  5	81  0.7689	85  0.8069	67  0.6360	61  0.5791	3998705776  0.6297
22  5	84  0.7974	86  0.8164	95  0.9018	89  0.8449	5059967561  0.7968
23  5	95  0.9018	99  0.9398	104  0.9873	99  0.9398	6444920473  1.0149
24  5	128  1.2151	131  1.2436	145  1.3765	142  1.3480	8171172220  1.2868
25 N 5	70  0.6645	71  0.6740	76  0.7215	76  0.7215	3680646693  0.5796
26  6	142  1.3480	135  1.2816	124  1.1771	125  1.1866	7757580348  1.2216
27  6	165  1.5664	161  1.5284	142  1.3480	143  1.3575	9525027771  1.5000
28  6	215  2.0410	218  2.0695	199  1.8891	205  1.9461	11764658491  1.8527
29  6	230  2.1834	224  2.1264	252  2.3923	252  2.3923	14509280677  2.2849
30 N 6	106  1.0063	110  1.0442	89  0.8449	91  0.8639	6740920718  1.0615
31  7	192  1.8227	203  1.9271	196  1.8606	203  1.9271	12379732192  1.9495
32  7	246  2.3353	242  2.2973	234  2.2214	241  2.2878	14970987161  2.3576
33  7	274  2.6011	269  2.5536	305  2.8954	313  2.9713	18071185110  2.8458
34  7	355  3.3700	364  3.4555	363  3.4460	367  3.4840	21830271641  3.4378
35 N 7	188  1.7847	190  1.8037	184  1.7467	176  1.6708	11424585988  1.7991
36  8	258  2.4492	254  2.4112	302  2.8669	301  2.8574	16339498138  2.5731
37  8	336  3.1897	339  3.2182	297  2.8194	298  2.8289	19709383181  3.1038
38  8	429  4.0725	420  3.9871	408  3.8732	400  3.7972	23605758352  3.7174
39  8	490  4.6516	485  4.6041	466  4.4238	468  4.4428	28085928185  4.4229
40 N 8	272  2.5821	269  2.5536	251  2.3828	253  2.4017	16270929517  2.5623
41  9	311  2.9523	297  2.8194	252  2.3923	250  2.3733	17610462720  2.7732
42  9	345  3.2751	352  3.3416	370  3.5124	367  3.4840	21330730539  3.3591
43  9	426  4.0440	428  4.0630	437  4.1485	437  4.1485	25409571822  4.0014
44  9	516  4.8984	522  4.9554	482  4.5757	481  4.5662	30048695498  4.7320
45 N 9	325  3.0852	326  3.0947	352  3.3416	357  3.3890	20125215758  3.1693
46  10	244  2.3163	248  2.3543	246  2.3353	242  2.2973	15180947336  2.3906
47  10	285  2.7055	285  2.7055	310  2.9429	299  2.8384	18360372398  2.8913
48  10	346  3.2846	340  3.2276	386  3.6643	388  3.6833	21797024413  3.4325
49  10	421  3.9966	436  4.1390	397  3.7687	391  3.7118	25500986557  4.0158
50 N 10	393  3.7308	397  3.7687	361  3.4270	369  3.5029	22971290435  3.6174
51  11	162  1.5379	166  1.5758	160  1.5189	170  1.6138	10149896990  1.5984
52  11	189  1.7942	191  1.8132	200  1.8986	199  1.8891	12077115810  1.9019
53  11	233  2.2119	232  2.2024	246  2.3353	241  2.2878	14119413033  2.2235
54  11	254  2.4112	246  2.3353	271  2.5726	284  2.6960	16390731570  2.5812
55 N 11	366  3.4745	366  3.4745	385  3.6548	375  3.5599	22941283147  3.6127
56  12	85  0.8069	80  0.7594	85  0.8069	87  0.8259	5500720419  0.8662
57  12	106  1.0063	103  0.9778	104  0.9873	107  1.0158	6227026988  0.9806
58  12	124  1.1771	113  1.0727	123  1.1676	118  1.1202	7033151127  1.1076
59  12	150  1.4240	155  1.4714	126  1.1961	124  1.1771	7852931458  1.2367
60 N 12	302  2.8669	309  2.9334	314  2.9808	322  3.0568	17849476370  2.8109
61  13	33  0.3133	33  0.3133	47  0.4462	43  0.4082	2037906651  0.3209
62  13	35  0.3323	33  0.3133	40  0.3797	41  0.3892	2187019556  0.3444
63  13	38  0.3607	36  0.3418	37  0.3512	38  0.3607	2314542960  0.3645
64  13	33  0.3133	32  0.3038	30  0.2848	27  0.2563	2451437963  0.3860
65 N 13	142  1.3480	145  1.3765	197  1.8701	198  1.8796	9913593383  1.5612
U = 66	10534 41.8438	10534 41.8400	10534 42.1433	10534 42.1572	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	1992 18.9102	1992 18.9102	1979 18.7868	1978 18.7773	119358998783 18.7963
1 1	252  2.3923	251  2.3828	252  2.3923	253  2.4017	15075437352  2.3740
2 1	324  3.0758	316  2.9998	302  2.8669	303  2.8764	17958650211  2.8281
3 1	333  3.1612	336  3.1897	358  3.3985	359  3.4080	21361994439  3.3640
4 1	426  4.0440	441  4.1864	408  3.8732	419  3.9776	25528480621  4.0201
5 1 N	157  1.4904	160  1.5189	136  1.2911	142  1.3480	9154206126  1.4416
6 2	295  2.8005	292  2.7720	335  3.1802	337  3.1992	18791511418  2.9592
7 2	381  3.6169	389  3.6928	335  3.1802	329  3.1232	22088800625  3.4785
8 2	462  4.3858	459  4.3573	431  4.0915	426  4.0440	26002102208  4.0947
9 2	523  4.9649	505  4.7940	495  4.6991	497  4.7181	30496109913  4.8024
10 3	264  2.5062	262  2.4872	242  2.2973	241  2.2878	15168880833  2.3887
11 3	272  2.5821	272  2.5821	276  2.6201	275  2.6106	17647767441  2.7791
12 2 N	346  3.2846	368  3.4934	343  3.2561	333  3.1612	21192170146  3.3373
13 4	139  1.3195	142  1.3480	150  1.4240	149  1.4145	8352078922  1.3153
14 4	140  1.3290	148  1.4050	175  1.6613	181  1.7182	10306791805  1.6231
15 3	496  4.7086	477  4.5282	522  4.9554	519  4.9269	30412174290  4.7892
16 3	573  5.4395	567  5.3826	580  5.5060	576  5.4680	35369266210  5.5698
17 3 N	362  3.4365	362  3.4365	371  3.5219	373  3.5409	21621810315  3.4049
18 5	66  0.6265	65  0.6170	70  0.6645	70  0.6645	4918954504  0.7746
19 5	111  1.0537	112  1.0632	85  0.8069	90  0.8544	6307419874  0.9933
20 4	402  3.8162	401  3.8067	421  3.9966	419  3.9776	24619813919  3.8771
21 4	520  4.9364	511  4.8510	454  4.3099	449  4.2624	28756868129  4.5285
22 4 N	320  3.0378	322  3.0568	302  2.8669	294  2.7910	19299318906  3.0392
23 5	232  2.2024	233  2.2119	257  2.4397	259  2.4587	14305376462  2.2528
24 5	285  2.7055	285  2.7055	294  2.7910	301  2.8574	16882127404  2.6585
25 5 N	189  1.7942	199  1.8891	203  1.9271	210  1.9935	12637216524  1.9901
26 6	60  0.5696	60  0.5696	78  0.7405	78  0.7405	4042066459  0.6365
27 6	90  0.8544	88  0.8354	86  0.8164	91  0.8639	4996576787  0.7868
28 6	99  0.9398	96  0.9113	97  0.9208	98  0.9303	6084938998  0.9582
29 6	133  1.2626	126  1.1961	126  1.1961	124  1.1771	7241748711  1.1404
30 6 N	155  1.4714	160  1.5189	189  1.7942	181  1.7182	9797000990  1.5428
31 7	18  0.1709	18  0.1709	23  0.2183	22  0.2088	950467974  0.1497
32 7	11  0.1044	13  0.1234	22  0.2088	20  0.1899	1125576093  0.1773
33 7	22  0.2088	23  0.2183	23  0.2183	24  0.2278	1297292873  0.2043
34 7	18  0.1709	18  0.1709	23  0.2183	23  0.2183	1491113912  0.2348
35 7 N	66  0.6265	65  0.6170	91  0.8639	91  0.8639	4372449423  0.6886
U = 36	10534 11.3505	10534 11.3422	10534 11.5756	10534 11.5612	635013559600 11.4347

Top     Main

Par None vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	0	0	0
2 80	20  0.3829	7  0.1318	27  0.2563
3 90	163  3.1208	147  2.7678	310  2.9429
4 100	830 15.8913	814 15.3267	1644 15.6066
5 110	223  4.2696	226  4.2553	449  4.2624
6 120	211  4.0398	216  4.0670	427  4.0535
7 130	201  3.8484	205  3.8599	406  3.8542
8 140	557 10.6644	625 11.7680	1182 11.2208
10 300	275  5.2652	271  5.1026	546  5.1832
11 400	441  8.4434	409  7.7010	850  8.0691
12 420	618 11.8323	592 11.1467	1210 11.4866
13 430	320  6.1267	305  5.7428	625  5.9332
14 450	468  8.9604	504  9.4897	972  9.2273
15 460	209  4.0015	216  4.0670	425  4.0346
16 500	23  0.4404	25  0.4707	48  0.4557
22 800	51  0.9765	50  0.9414	101  0.9588
23 920	114  2.1827	127  2.3913	241  2.2878
24 980	197  3.7718	196  3.6905	393  3.7308
25 990	166  3.1783	199  3.7469	365  3.4650
26 1100	4  0.0766	8  0.1506	12  0.1139
28 1400	6  0.1149	8  0.1506	14  0.1329
30 1440	22  0.4212	30  0.5649	52  0.4936
31 1510	38  0.7276	40  0.7532	78  0.7405
32 1520	66  1.2636	91  1.7134	157  1.4904
U = 25	5223 11.1371	5311 11.4348	10534 11.2872

Top     Main

Par N-S vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	0	0	0
2 80	20  0.3829	7  0.1318	27  0.2563
3 90	163  3.1208	147  2.7678	310  2.9429
4 100	830 15.8913	0	830  7.8792
5 110	223  4.2696	533 10.0358	756  7.1768
6 120	211  4.0398	284  5.3474	495  4.6991
7 130	201  3.8484	262  4.9332	463  4.3953
8 140	557 10.6644	863 16.2493	1420 13.4802
9 200	0	144  2.7114	144  1.3670
10 300	275  5.2652	0	275  2.6106
11 400	0	485  9.1320	485  4.6041
12 420	0	730 13.7451	730  6.9299
13 430	0	320  6.0252	320  3.0378
14 450	0	538 10.1299	538  5.1073
15 460	0	217  4.0859	217  2.0600
16 500	466  8.9221	7  0.1318	473  4.4902
17 600	314  6.0119	0	314  2.9808
18 620	405  7.7542	0	405  3.8447
19 630	283  5.4183	0	283  2.6865
20 650	405  7.7542	0	405  3.8447
21 660	206  3.9441	0	206  1.9556
22 800	51  0.9765	25  0.4707	76  0.7215
23 920	0	153  2.8808	153  1.4524
24 980	0	213  4.0105	213  2.0220
25 990	0	202  3.8034	202  1.9176
26 1100	82  1.5700	4  0.0753	86  0.8164
27 1370	86  1.6466	0	86  0.8164
28 1400	76  1.4551	8  0.1506	84  0.7974
29 1430	98  1.8763	0	98  0.9303
30 1440	145  2.7762	34  0.6402	179  1.6993
31 1510	0	44  0.8285	44  0.4177
32 1520	0	91  1.7134	91  0.8639
33 1700	8  0.1532	0	8  0.0759
34 2000	7  0.1340	0	7  0.0665
35 2140	14  0.2680	0	14  0.1329
36 2210	31  0.5935	0	31  0.2943
37 2220	66  1.2636	0	66  0.6265
U = 38	5223 13.8189	5311 12.0254	10534 12.9147

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Par E-W vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	0	0	0
2 80	20  0.3829	7  0.1318	27  0.2563
3 90	163  3.1208	147  2.7678	310  2.9429
4 100	0	814 15.3267	814  7.7274
5 110	558 10.6835	226  4.2553	784  7.4426
6 120	302  5.7821	216  4.0670	518  4.9174
7 130	237  4.5376	205  3.8599	442  4.1959
8 140	787 15.0680	625 11.7680	1412 13.4042
9 200	138  2.6422	0	138  1.3100
10 300	0	271  5.1026	271  2.5726
11 400	508  9.7262	0	508  4.8225
12 420	774 14.8191	0	774  7.3476
13 430	336  6.4331	0	336  3.1897
14 450	498  9.5348	0	498  4.7275
15 460	209  4.0015	0	209  1.9841
16 500	6  0.1149	474  8.9249	480  4.5567
17 600	0	273  5.1403	273  2.5916
18 620	0	393  7.3997	393  3.7308
19 630	0	274  5.1591	274  2.6011
20 650	0	428  8.0587	428  4.0630
21 660	0	209  3.9352	209  1.9841
22 800	23  0.4404	50  0.9414	73  0.6930
23 920	140  2.6805	0	140  1.3290
24 980	218  4.1738	0	218  2.0695
25 990	169  3.2357	0	169  1.6043
26 1100	1  0.0191	83  1.5628	84  0.7974
27 1370	0	103  1.9394	103  0.9778
28 1400	4  0.0766	71  1.3368	75  0.7120
29 1430	0	112  2.1088	112  1.0632
30 1440	27  0.5169	169  3.1821	196  1.8606
31 1510	39  0.7467	0	39  0.3702
32 1520	66  1.2636	0	66  0.6265
33 1700	0	12  0.2259	12  0.1139
34 2000	0	7  0.1318	7  0.0665
35 2140	0	14  0.2636	14  0.1329
36 2210	0	37  0.6967	37  0.3512
37 2220	0	91  1.7134	91  0.8639
U = 38	5223 11.7226	5311 14.1036	10534 12.9230

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Par Both vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	0	0	0
2 80	20  0.3829	7  0.1318	27  0.2563
3 90	163  3.1208	147  2.7678	310  2.9429
5 110	558 10.6835	533 10.0358	1091 10.3569
6 120	302  5.7821	284  5.3474	586  5.5629
7 130	237  4.5376	262  4.9332	499  4.7370
8 140	787 15.0680	863 16.2493	1650 15.6636
9 200	138  2.6422	144  2.7114	282  2.6770
16 500	275  5.2652	271  5.1026	546  5.1832
17 600	441  8.4434	409  7.7010	850  8.0691
18 620	618 11.8323	592 11.1467	1210 11.4866
19 630	320  6.1267	305  5.7428	625  5.9332
20 650	468  8.9604	504  9.4897	972  9.2273
21 660	209  4.0015	216  4.0670	425  4.0346
22 800	23  0.4404	25  0.4707	48  0.4557
26 1100	51  0.9765	50  0.9414	101  0.9588
27 1370	114  2.1827	127  2.3913	241  2.2878
28 1400	54  1.0339	59  1.1109	113  1.0727
29 1430	153  2.9294	156  2.9373	309  2.9334
30 1440	160  3.0634	188  3.5398	348  3.3036
33 1700	6  0.1149	8  0.1506	14  0.1329
34 2000	8  0.1532	12  0.2259	20  0.1899
35 2140	17  0.3255	19  0.3577	36  0.3418
36 2210	35  0.6701	39  0.7343	74  0.7025
37 2220	66  1.2636	91  1.7134	157  1.4904
U = 26	5223 14.8581	5311 15.1416	10534 15.0010

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LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	1  0.0894	0	0	0
13	111  9.9196	88  7.8642	99  8.8472	73  6.5237
14	533 47.6318	506 45.2189	539 48.1680	518 46.2913
15	397 35.4781	436 38.9634	400 35.7462	434 38.7846
16	73  6.5237	85  7.5961	77  6.8811	90  8.0429
17	3  0.2681	3  0.2681	3  0.2681	3  0.2681
18	0	0	0	0
19	0	0	0	0
20	1  0.0894	1  0.0894	1  0.0894	1  0.0894
U = 9	1119 14.3977	1119 14.4763	1119 14.4200	1119 14.4969

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1792	2  0.1792	0	0
13	14  1.2545	12  1.0753	12  1.0753	8  0.7168
14	160 14.3369	131 11.7384	166 14.8746	136 12.1864
15	543 48.6559	541 48.4767	540 48.3871	542 48.5663
16	340 30.4659	365 32.7061	340 30.4659	364 32.6165
17	53  4.7491	61  5.4659	54  4.8387	62  5.5556
18	4  0.3584	4  0.3584	4  0.3584	4  0.3584
U = 7	1116 15.2366	1116 15.3029	1116 15.2419	1116 15.3118

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	3  0.1073	3  0.1073	0	0
13	16  0.5725	14  0.5009	4  0.1431	2  0.0716
14	105  3.7567	90  3.2200	81  2.8980	61  2.1825
15	595 21.2880	555 19.8569	582 20.8229	545 19.4991
16	1176 42.0751	1172 41.9320	1216 43.5063	1201 42.9696
17	702 25.1163	741 26.5116	709 25.3667	761 27.2272
18	170  6.0823	189  6.7621	173  6.1896	194  6.9410
19	24  0.8587	27  0.9660	27  0.9660	27  0.9660
20	3  0.1073	3  0.1073	2  0.0716	3  0.1073
21	0	0	0	0
22	1  0.0358	1  0.0358	1  0.0358	1  0.0358
U = 11	2795 16.0955	2795 16.1535	2795 16.1410	2795 16.2057

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0404	1  0.0404	0	0
11	0	0	0	0
12	0	0	0	0
13	4  0.1617	3  0.1213	1  0.0404	1  0.0404
14	14  0.5661	13  0.5257	7  0.2831	6  0.2426
15	124  5.0142	110  4.4480	111  4.4885	97  3.9224
16	541 21.8763	510 20.6227	542 21.9167	500 20.2184
17	967 39.1023	968 39.1427	978 39.5471	987 39.9110
18	629 25.4347	656 26.5265	642 25.9604	666 26.9309
19	173  6.9956	191  7.7234	171  6.9147	194  7.8447
20	20  0.8087	21  0.8492	21  0.8492	22  0.8896
U = 11	2473 17.0732	2473 17.1266	2473 17.1043	2473 17.1634

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	11  0.6794	9  0.5559	8  0.4941	7  0.4324
16	109  6.7326	100  6.1767	99  6.1149	90  5.5590
17	394 24.3360	382 23.5948	381 23.5330	366 22.6065
18	606 37.4305	602 37.1834	612 37.8011	606 37.4305
19	343 21.1859	353 21.8036	360 22.2359	372 22.9771
20	126  7.7826	140  8.6473	126  7.7826	144  8.8944
21	28  1.7295	29  1.7912	30  1.8530	28  1.7295
22	1  0.0618	3  0.1853	2  0.1235	5  0.3088
23	1  0.0618	1  0.0618	1  0.0618	1  0.0618
U = 9	1619 18.0266	1619 18.0791	1619 18.0692	1619 18.1248

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
16	12  1.2821	10  1.0684	13  1.3889	10  1.0684
17	119 12.7137	114 12.1795	100 10.6838	97 10.3632
18	259 27.6709	251 26.8162	267 28.5256	253 27.0299
19	301 32.1581	300 32.0513	295 31.5171	303 32.3718
20	189 20.1923	201 21.4744	201 21.4744	210 22.4359
21	50  5.3419	51  5.4487	53  5.6624	54  5.7692
22	5  0.5342	8  0.8547	6  0.6410	8  0.8547
23	1  0.1068	1  0.1068	1  0.1068	1  0.1068
U = 8	936 18.7596	936 18.8098	936 18.8109	936 18.8600

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	14  4.1791	14  4.1791	9  2.6866	9  2.6866
18	60 17.9104	58 17.3134	55 16.4179	54 16.1194
19	96 28.6567	94 28.0597	101 30.1493	98 29.2537
20	101 30.1493	97 28.9552	102 30.4478	98 29.2537
21	46 13.7313	50 14.9254	47 14.0299	52 15.5224
22	15  4.4776	17  5.0746	18  5.3731	18  5.3731
23	3  0.8955	5  1.4925	3  0.8955	6  1.7910
U = 7	335 19.4836	335 19.5433	335 19.5642	335 19.6209

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	1  0.8850	0	0	0
18	10  8.8496	10  8.8496	8  7.0796	8  7.0796
19	23 20.3540	23 20.3540	24 21.2389	23 20.3540
20	38 33.6283	39 34.5133	40 35.3982	40 35.3982
21	25 22.1239	23 20.3540	25 22.1239	23 20.3540
22	14 12.3894	15 13.2743	13 11.5044	15 13.2743
23	2  1.7699	3  2.6549	2  1.7699	3  2.6549
24	0	0	1  0.8850	1  0.8850
U = 8	113 20.1150	113 20.1681	113 20.1858	113 20.2389

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LoTT 22 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
18	1  4.1667	1  4.1667	1  4.1667	1  4.1667
19	5 20.8333	5 20.8333	5 20.8333	5 20.8333
20	5 20.8333	5 20.8333	5 20.8333	4 16.6667
21	7 29.1667	7 29.1667	6 25.0000	7 29.1667
22	3 12.5000	3 12.5000	4 16.6667	4 16.6667
23	2  8.3333	2  8.3333	2  8.3333	2  8.3333
24	1  4.1667	0	1  4.1667	0
25	0	1  4.1667	0	1  4.1667
U = 8	24 20.6667	24 20.7083	24 20.7083	24 20.7917

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LoTT 23 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
20	1 25.0000	1 25.0000	1 25.0000	1 25.0000
21	2 50.0000	2 50.0000	2 50.0000	2 50.0000
22	1 25.0000	1 25.0000	1 25.0000	1 25.0000
U = 3	4 21.0000	4 21.0000	4 21.0000	4 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 10,534 deals

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© 2019 Richard Pavlicek