Main   Stats 8H30 by Richard Pavlicek  

IMP Matches thru 6-12-19

Double-dummy stats for 10,823 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	201  1.8572	200  1.8479	145  1.3397	148  1.3675	9913593383  1.5612
1	423  3.9083	415  3.8344	405  3.7420	411  3.7975	23145762677  3.6449
2	650  6.0057	670  6.1905	612  5.6546	607  5.6084	37977932067  5.9806
3	887  8.1955	891  8.2325	923  8.5281	910  8.4080	52871069846  8.3260
4	1187 10.9674	1183 10.9304	1106 10.2190	1112 10.2744	67524194742 10.6335
5	1321 12.2055	1308 12.0854	1386 12.8061	1387 12.8153	80101714628 12.6142
6	1529 14.1273	1513 13.9795	1583 14.6263	1591 14.7002	90730441332 14.2880
7	1428 13.1941	1423 13.1479	1387 12.8153	1402 12.9539	84402158672 13.2914
8	1219 11.2631	1244 11.4940	1202 11.1060	1189 10.9859	71237104568 11.2182
9	840  7.7612	825  7.6227	830  7.6689	837  7.7335	47702049563  7.5120
10	552  5.1002	566  5.2296	561  5.1834	548  5.0633	32569065440  5.1289
11	322  2.9751	321  2.9659	354  3.2708	363  3.3540	20600866092  3.2442
12	196  1.8110	197  1.8202	236  2.1805	225  2.0789	11865157167  1.8685
13	68  0.6283	67  0.6191	93  0.8593	93  0.8593	4372449423  0.6886
U = 14	10823  5.9611	10823  5.9634	10823  6.0602	10823  6.0542	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	118  1.0903	121  1.1180	97  0.8962	97  0.8962	6949893015  1.0944
1	310  2.8643	306  2.8273	333  3.0768	338  3.1230	17646817412  2.7790
2	592  5.4698	582  5.3774	520  4.8046	515  4.7584	32992452829  5.1956
3	839  7.7520	843  7.7890	850  7.8536	866  8.0015	50476652542  7.9489
4	1127 10.4130	1134 10.4777	1148 10.6070	1146 10.5886	66372975438 10.4522
5	1279 11.8174	1294 11.9560	1394 12.8800	1379 12.7414	77821925315 12.2552
6	1389 12.8338	1368 12.6397	1418 13.1017	1419 13.1110	82551854345 13.0000
7	1430 13.2126	1425 13.1664	1309 12.0946	1313 12.1316	80760822737 12.7180
8	1282 11.8451	1294 11.9560	1220 11.2723	1223 11.3000	73465633954 11.5691
9	1008  9.3135	1000  9.2396	1032  9.5352	1034  9.5537	60489162482  9.5256
10	758  7.0036	761  7.0313	752  6.9482	738  6.8188	43661750688  6.8757
11	428  3.9545	436  4.0285	474  4.3796	486  4.4904	26377787548  4.1539
12	218  2.0142	216  1.9957	222  2.0512	211  1.9496	12128527136  1.9100
13	45  0.4158	43  0.3973	54  0.4989	58  0.5359	3317304159  0.5224
U = 14	10823  6.2898	10823  6.2919	10823  6.3110	10823  6.3062	635013559600  6.2957

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Heart make = hm

Value	North	South	West	East	Empirical
0	132  1.2196	130  1.2011	115  1.0626	112  1.0348	6949893015  1.0944
1	326  3.0121	330  3.0491	316  2.9197	316  2.9197	17646817412  2.7790
2	604  5.5807	603  5.5715	557  5.1464	554  5.1187	32992452829  5.1956
3	879  8.1216	881  8.1401	834  7.7058	840  7.7612	50476652542  7.9489
4	1122 10.3668	1120 10.3483	1118 10.3299	1120 10.3483	66372975438 10.4522
5	1318 12.1778	1328 12.2702	1328 12.2702	1324 12.2332	77821925315 12.2552
6	1410 13.0278	1389 12.8338	1358 12.5474	1352 12.4919	82551854345 13.0000
7	1329 12.2794	1335 12.3348	1372 12.6767	1392 12.8615	80760822737 12.7180
8	1226 11.3277	1239 11.4478	1245 11.5033	1230 11.3647	73465633954 11.5691
9	1011  9.3412	997  9.2119	1038  9.5907	1056  9.7570	60489162482  9.5256
10	751  6.9389	753  6.9574	768  7.0960	752  6.9482	43661750688  6.8757
11	452  4.1763	462  4.2687	476  4.3980	485  4.4812	26377787548  4.1539
12	207  1.9126	200  1.8479	229  2.1159	220  2.0327	12128527136  1.9100
13	56  0.5174	56  0.5174	69  0.6375	70  0.6468	3317304159  0.5224
U = 14	10823  6.2472	10823  6.2462	10823  6.3438	10823  6.3429	635013559600  6.2957

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Diamond make = dm

Value	North	South	West	East	Empirical
0	141  1.3028	142  1.3120	94  0.8685	97  0.8962	6949893015  1.0944
1	294  2.7164	295  2.7257	318  2.9382	308  2.8458	17646817412  2.7790
2	561  5.1834	564  5.2111	525  4.8508	527  4.8693	32992452829  5.1956
3	912  8.4265	907  8.3803	815  7.5303	818  7.5580	50476652542  7.9489
4	1121 10.3576	1120 10.3483	1141 10.5424	1142 10.5516	66372975438 10.4522
5	1246 11.5125	1255 11.5957	1437 13.2773	1438 13.2865	77821925315 12.2552
6	1425 13.1664	1417 13.0925	1376 12.7137	1372 12.6767	82551854345 13.0000
7	1391 12.8523	1374 12.6952	1364 12.6028	1374 12.6952	80760822737 12.7180
8	1333 12.3164	1331 12.2979	1220 11.2723	1217 11.2446	73465633954 11.5691
9	1032  9.5352	1045  9.6554	1044  9.6461	1029  9.5075	60489162482  9.5256
10	672  6.2090	675  6.2367	765  7.0683	774  7.1514	43661750688  6.8757
11	442  4.0839	442  4.0839	436  4.0285	439  4.0562	26377787548  4.1539
12	212  1.9588	216  1.9957	220  2.0327	221  2.0419	12128527136  1.9100
13	41  0.3788	40  0.3696	68  0.6283	67  0.6191	3317304159  0.5224
U = 14	10823  6.2611	10823  6.2641	10823  6.3284	10823  6.3303	635013559600  6.2957

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Club make = cm

Value	North	South	West	East	Empirical
0	141  1.3028	144  1.3305	111  1.0256	110  1.0164	6949893015  1.0944
1	317  2.9289	307  2.8366	299  2.7626	300  2.7719	17646817412  2.7790
2	562  5.1926	567  5.2388	537  4.9617	533  4.9247	32992452829  5.1956
3	810  7.4841	826  7.6319	851  7.8629	866  8.0015	50476652542  7.9489
4	1135 10.4869	1136 10.4962	1141 10.5424	1126 10.4038	66372975438 10.4522
5	1456 13.4528	1454 13.4344	1254 11.5864	1241 11.4663	77821925315 12.2552
6	1383 12.7783	1367 12.6305	1380 12.7506	1402 12.9539	82551854345 13.0000
7	1372 12.6767	1364 12.6028	1412 13.0463	1411 13.0371	80760822737 12.7180
8	1193 11.0228	1208 11.1614	1339 12.3718	1350 12.4734	73465633954 11.5691
9	1012  9.3505	1008  9.3135	1041  9.6184	1033  9.5445	60489162482  9.5256
10	755  6.9759	752  6.9482	691  6.3846	699  6.4585	43661750688  6.8757
11	427  3.9453	434  4.0100	446  4.1209	439  4.0562	26377787548  4.1539
12	205  1.8941	202  1.8664	245  2.2637	237  2.1898	12128527136  1.9100
13	55  0.5082	54  0.4989	76  0.7022	76  0.7022	3317304159  0.5224
U = 14	10823  6.2521	10823  6.2496	10823  6.3521	10823  6.3485	635013559600  6.2957

Top     Main

Longest fit = lf

Value	North	South	West	East	Theoretical
7	1727 15.9568	1727 15.9568	1727 15.9568	1727 15.9568	13006498437504 15.7363
8	4935 45.5973	4935 45.5973	4931 45.5604	4931 45.5604	37809373653909 45.7447
9	3058 28.2546	3058 28.2546	3100 28.6427	3100 28.6427	23225440992325 28.0999
10	941  8.6944	941  8.6944	882  8.1493	882  8.1493	7168401039800  8.6729
11	148  1.3675	148  1.3675	161  1.4876	161  1.4876	1307227435020  1.5816
12	14  0.1294	14  0.1294	22  0.2033	22  0.2033	130732315831  0.1582
13	0	0	0	0	5414950295  0.0066
U = 7	10823  8.3431	10823  8.3431	10823  8.3426	10823  8.3426	82653088824684  8.3512

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Longest fit make = lm

Value	North	South	West	East	Empirical
0	0	0	1  0.0092	1  0.0092	22876394  0.0036
1	4  0.0370	6  0.0554	5  0.0462	6  0.0554	251246691  0.0396
2	32  0.2957	28  0.2587	28  0.2587	28  0.2587	1556124656  0.2451
3	110  1.0164	112  1.0348	85  0.7854	86  0.7946	5892722789  0.9280
4	278  2.5686	284  2.6240	280  2.5871	280  2.5871	16409883547  2.5842
5	631  5.8302	633  5.8487	648  5.9872	643  5.9411	35643298455  5.6130
6	1044  9.6461	1034  9.5537	1037  9.5814	1038  9.5907	62031256233  9.7685
7	1551 14.3306	1559 14.4045	1507 13.9241	1530 14.1366	89999744190 14.1729
8	1918 17.7215	1920 17.7400	1859 17.1764	1845 17.0470	110099842849 17.3382
9	1905 17.6014	1884 17.4074	1906 17.6106	1898 17.5367	113173167471 17.8222
10	1626 15.0236	1646 15.2084	1615 14.9219	1620 14.9681	95919764225 15.1052
11	1053  9.7293	1053  9.7293	1093 10.0989	1099 10.1543	64150449024 10.1022
12	540  4.9894	531  4.9062	580  5.3590	568  5.2481	31112561346  4.8995
13	131  1.2104	133  1.2289	179  1.6539	181  1.6724	8750621730  1.3780
U = 14	10823  8.3434	10823  8.3411	10823  8.4018	10823  8.3981	635013559600  8.3753

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Best fit = bf

Value	North	South	West	East	Empirical
5	0	0	2  0.0185	2  0.0185	10461673  0.0016
6	18  0.1663	15  0.1386	14  0.1294	16  0.1478	1222077835  0.1924
7	1836 16.9639	1836 16.9639	1814 16.7606	1810 16.7236	105351212255 16.5904
8	4873 45.0245	4879 45.0799	4899 45.2647	4900 45.2740	287234089436 45.2327
9	3001 27.7280	3000 27.7187	3039 28.0791	3040 28.0883	175437245133 27.6273
10	934  8.6298	932  8.6113	874  8.0754	873  8.0662	54701014789  8.6141
11	147  1.3582	147  1.3582	159  1.4691	160  1.4783	10008187498  1.5761
12	14  0.1294	14  0.1294	22  0.2033	22  0.2033	1006364496  0.1585
13	0	0	0	0	42906485  0.0068
U = 9	10823  8.3228	10823  8.3229	10823  8.3238	10823  8.3239	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  0.0185	3  0.0277	3  0.0277	3  0.0277	132231913  0.0208
2	28  0.2587	25  0.2310	24  0.2217	24  0.2217	1339624042  0.2110
3	106  0.9794	108  0.9979	83  0.7669	86  0.7946	5671089748  0.8931
4	273  2.5224	277  2.5594	278  2.5686	273  2.5224	16177592015  2.5476
5	618  5.7101	622  5.7470	646  5.9688	644  5.9503	35415185536  5.5771
6	1047  9.6738	1039  9.5999	1019  9.4151	1023  9.4521	61775936908  9.7283
7	1545 14.2752	1555 14.3676	1504 13.8963	1527 14.1088	89711329037 14.1275
8	1918 17.7215	1913 17.6753	1862 17.2041	1848 17.0747	109962826727 17.3166
9	1915 17.6938	1894 17.4998	1910 17.6476	1896 17.5182	113305081446 17.8429
10	1625 15.0143	1645 15.1991	1622 14.9866	1631 15.0698	96187452851 15.1473
11	1055  9.7478	1060  9.7940	1094 10.1081	1102 10.1820	64547826059 10.1648
12	556  5.1372	545  5.0356	596  5.5068	582  5.3774	31646530587  4.9836
13	135  1.2473	137  1.2658	182  1.6816	184  1.7001	9139338741  1.4392
U = 14	10823  8.3633	10823  8.3614	10823  8.4211	10823  8.4176	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  0.0092	1  0.0092	1  0.0092	11612306  0.0018
3  1	0	0	0	0	25874094  0.0041
4  1	1  0.0092	1  0.0092	1  0.0092	1  0.0092	53231899  0.0084
5 N 1	1  0.0092	1  0.0092	1  0.0092	1  0.0092	36956503  0.0058
6  2	2  0.0185	2  0.0185	4  0.0370	4  0.0370	120316810  0.0189
7  2	3  0.0277	2  0.0185	7  0.0647	7  0.0647	198635528  0.0313
8  2	10  0.0924	10  0.0924	6  0.0554	6  0.0554	326628269  0.0514
9  2	10  0.0924	9  0.0832	5  0.0462	5  0.0462	500918833  0.0789
10 N 2	3  0.0277	2  0.0185	2  0.0185	2  0.0185	185145875  0.0292
11  3	10  0.0924	9  0.0832	9  0.0832	10  0.0924	708986520  0.1116
12  3	27  0.2495	30  0.2772	19  0.1756	20  0.1848	998658286  0.1573
13  3	25  0.2310	24  0.2217	20  0.1848	21  0.1940	1395338886  0.2197
14  3	33  0.3049	35  0.3234	23  0.2125	23  0.2125	1910125869  0.3008
15 N 3	10  0.0924	8  0.0739	12  0.1109	12  0.1109	600509115  0.0946
16  4	48  0.4435	49  0.4527	38  0.3511	37  0.3419	2289229042  0.3605
17  4	44  0.4065	42  0.3881	53  0.4897	53  0.4897	2994612265  0.4716
18  4	59  0.5451	59  0.5451	67  0.6191	66  0.6098	3903975403  0.6148
19  4	94  0.8685	99  0.9147	87  0.8038	84  0.7761	5081012026  0.8001
20 N 4	25  0.2310	27  0.2495	26  0.2402	29  0.2679	1713322270  0.2698
21  5	115  1.0626	115  1.0626	88  0.8131	87  0.8038	5390835002  0.8489
22  5	127  1.1734	129  1.1919	133  1.2289	132  1.2196	6765583620  1.0654
23  5	161  1.4876	157  1.4506	150  1.3859	151  1.3952	8498769442  1.3384
24  5	156  1.4414	161  1.4876	192  1.7740	194  1.7925	10602398413  1.6696
25 N 5	52  0.4805	52  0.4805	84  0.7761	77  0.7114	3790350430  0.5969
26  6	171  1.5800	171  1.5800	158  1.4599	166  1.5338	9966643603  1.5695
27  6	211  1.9496	215  1.9865	181  1.6724	185  1.7093	12109712021  1.9070
28  6	241  2.2267	237  2.1898	261  2.4115	258  2.3838	14729112069  2.3195
29  6	304  2.8088	302  2.7904	304  2.8088	302  2.7904	17910202521  2.8204
30 N 6	109  1.0071	99  0.9147	106  0.9794	103  0.9517	6534760658  1.0291
31  7	256  2.3653	255  2.3561	261  2.4115	263  2.4300	15075437352  2.3740
32  7	331  3.0583	322  2.9751	308  2.8458	309  2.8550	17958650211  2.8281
33  7	345  3.1877	350  3.2339	365  3.3724	366  3.3817	21361994439  3.3640
34  7	443  4.0931	459  4.2410	422  3.8991	433  4.0007	25528480621  4.0201
35 N 7	163  1.5061	168  1.5522	137  1.2658	144  1.3305	9154206125  1.4416
36  8	307  2.8366	305  2.8181	345  3.1877	347  3.2061	18791511418  2.9592
37  8	386  3.5665	395  3.6496	348  3.2154	343  3.1692	22088800625  3.4785
38  8	468  4.3241	465  4.2964	441  4.0747	435  4.0192	26002102208  4.0947
39  8	537  4.9617	519  4.7953	510  4.7122	511  4.7214	30496109913  4.8024
40 N 8	216  1.9957	224  2.0697	199  1.8387	197  1.8202	12173466153  1.9170
41  9	350  3.2339	349  3.2246	308  2.8458	304  2.8088	19155398988  3.0165
42  9	344  3.1784	355  3.2801	375  3.4648	365  3.3724	22679953280  3.5716
43  9	448  4.1393	429  3.9638	466  4.3056	467  4.3149	26645003052  4.1960
44  9	520  4.8046	521  4.8138	525  4.8508	516  4.7676	31116921638  4.9002
45 N 9	244  2.2545	234  2.1621	250  2.3099	254  2.3469	13776418529  2.1695
46  10	277  2.5594	282  2.6056	257  2.3746	253  2.3376	15678126613  2.4689
47  10	273  2.5224	279  2.5778	331  3.0583	342  3.1599	18845651711  2.9678
48  10	373  3.4464	372  3.4371	390  3.6034	394  3.6404	22346330376  3.5190
49  10	483  4.4627	478  4.4165	429  3.9638	429  3.9638	26213758053  4.1281
50 N 10	237  2.1898	249  2.3007	222  2.0512	219  2.0235	13730953401  2.1623
51  11	146  1.3490	141  1.3028	151  1.3952	142  1.3120	9697289588  1.5271
52  11	204  1.8849	199  1.8387	184  1.7001	182  1.6816	11914043914  1.8762
53  11	238  2.1990	241  2.2267	262  2.4208	266  2.4577	14305376462  2.2528
54  11	292  2.6980	292  2.6980	306  2.8273	314  2.9012	16882127404  2.6585
55 N 11	194  1.7925	204  1.8849	208  1.9218	216  1.9957	12637216524  1.9901
56  12	62  0.5729	62  0.5729	83  0.7669	82  0.7576	4042066459  0.6365
57  12	91  0.8408	89  0.8223	87  0.8038	92  0.8500	4996576787  0.7868
58  12	104  0.9609	101  0.9332	104  0.9609	104  0.9609	6084938998  0.9582
59  12	137  1.2658	130  1.2011	126  1.1642	124  1.1457	7241748711  1.1404
60 N 12	164  1.5153	166  1.5338	198  1.8294	187  1.7278	9797000990  1.5428
61  13	19  0.1756	19  0.1756	23  0.2125	22  0.2033	950467974  0.1497
62  13	11  0.1016	13  0.1201	24  0.2217	22  0.2033	1125576093  0.1773
63  13	22  0.2033	23  0.2125	24  0.2217	26  0.2402	1297292873  0.2043
64  13	18  0.1663	18  0.1663	23  0.2125	23  0.2125	1491113912  0.2348
65 N 13	68  0.6283	67  0.6191	93  0.8593	93  0.8593	4372449423  0.6886
U = 66	10823 39.9359	10823 39.9262	10823 40.2312	10823 40.2161	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  0.0092	1  0.0092	9447300  0.0015
3  1	0	0	0	0	21574362  0.0034
4  1	1  0.0092	1  0.0092	1  0.0092	1  0.0092	42527988  0.0067
5 N 1	1  0.0092	0	1  0.0092	1  0.0092	26388851  0.0042
6  2	2  0.0185	1  0.0092	2  0.0185	2  0.0185	84995416  0.0134
7  2	3  0.0277	3  0.0277	4  0.0370	4  0.0370	142224249  0.0224
8  2	4  0.0370	3  0.0277	6  0.0554	6  0.0554	231292299  0.0364
9  2	7  0.0647	8  0.0739	6  0.0554	7  0.0647	363266834  0.0572
10 N 2	3  0.0277	3  0.0277	2  0.0185	2  0.0185	127432564  0.0201
11  3	4  0.0370	6  0.0554	6  0.0554	7  0.0647	493076363  0.0776
12  3	19  0.1756	20  0.1848	13  0.1201	10  0.0924	693513539  0.1092
13  3	20  0.1848	23  0.2125	14  0.1294	16  0.1478	1000823292  0.1576
14  3	29  0.2679	24  0.2217	14  0.1294	16  0.1478	1395369165  0.2197
15 N 3	5  0.0462	8  0.0739	5  0.0462	6  0.0554	517057969  0.0814
16  4	29  0.2679	30  0.2772	26  0.2402	25  0.2310	1644254032  0.2589
17  4	47  0.4343	43  0.3973	39  0.3603	37  0.3419	2174377737  0.3424
18  4	53  0.4897	49  0.4527	48  0.4435	49  0.4527	2890268054  0.4552
19  4	72  0.6652	69  0.6375	73  0.6745	67  0.6191	3825111648  0.6024
20 N 4	26  0.2402	26  0.2402	23  0.2125	26  0.2402	1603391433  0.2525
21  5	81  0.7484	85  0.7854	67  0.6191	61  0.5636	3998705776  0.6297
22  5	86  0.7946	88  0.8131	97  0.8962	91  0.8408	5059967561  0.7968
23  5	103  0.9517	109  1.0071	108  0.9979	103  0.9517	6444920473  1.0149
24  5	133  1.2289	137  1.2658	149  1.3767	145  1.3397	8171172220  1.2868
25 N 5	72  0.6652	74  0.6837	79  0.7299	79  0.7299	3680646693  0.5796
26  6	145  1.3397	139  1.2843	130  1.2011	131  1.2104	7757580348  1.2216
27  6	166  1.5338	164  1.5153	147  1.3582	148  1.3675	9525027771  1.5000
28  6	221  2.0419	222  2.0512	204  1.8849	209  1.9311	11764658491  1.8527
29  6	235  2.1713	227  2.0974	262  2.4208	261  2.4115	14509280677  2.2849
30 N 6	108  0.9979	112  1.0348	89  0.8223	94  0.8685	6740920718  1.0615
31  7	197  1.8202	207  1.9126	201  1.8572	208  1.9218	12379732192  1.9495
32  7	250  2.3099	246  2.2729	238  2.1990	246  2.2729	14970987161  2.3576
33  7	289  2.6702	285  2.6333	316  2.9197	323  2.9844	18071185110  2.8458
34  7	369  3.4094	378  3.4926	374  3.4556	381  3.5203	21830271641  3.4378
35 N 7	192  1.7740	194  1.7925	193  1.7832	184  1.7001	11424585988  1.7991
36  8	269  2.4854	265  2.4485	310  2.8643	309  2.8550	16339498138  2.5731
37  8	343  3.1692	348  3.2154	310  2.8643	310  2.8643	19709383181  3.1038
38  8	436  4.0285	426  3.9361	416  3.8437	407  3.7605	23605758352  3.7174
39  8	505  4.6660	500  4.6198	476  4.3980	477  4.4073	28085928185  4.4229
40 N 8	283  2.6148	282  2.6056	257  2.3746	259  2.3931	16270929517  2.5623
41  9	324  2.9936	308  2.8458	260  2.4023	256  2.3653	17610462720  2.7732
42  9	350  3.2339	355  3.2801	378  3.4926	373  3.4464	21330730539  3.3591
43  9	434  4.0100	436  4.0285	447  4.1301	448  4.1393	25409571822  4.0014
44  9	527  4.8693	533  4.9247	488  4.5089	488  4.5089	30048695498  4.7320
45 N 9	338  3.1230	339  3.1322	359  3.3170	364  3.3632	20125215758  3.1693
46  10	248  2.2914	253  2.3376	252  2.3284	250  2.3099	15180947336  2.3906
47  10	293  2.7072	293  2.7072	315  2.9105	306  2.8273	18360372398  2.8913
48  10	359  3.3170	354  3.2708	400  3.6958	402  3.7143	21797024413  3.4325
49  10	429  3.9638	441  4.0747	407  3.7605	401  3.7051	25500986557  4.0158
50 N 10	404  3.7328	407  3.7605	375  3.4648	384  3.5480	22971290435  3.6174
51  11	164  1.5153	168  1.5522	163  1.5061	172  1.5892	10149896990  1.5984
52  11	195  1.8017	196  1.8110	205  1.8941	203  1.8756	12077115810  1.9019
53  11	238  2.1990	237  2.1898	253  2.3376	248  2.2914	14119413033  2.2235
54  11	258  2.3838	252  2.3284	279  2.5778	294  2.7164	16390731570  2.5812
55 N 11	373  3.4464	373  3.4464	398  3.6774	387  3.5757	22941283147  3.6127
56  12	87  0.8038	83  0.7669	90  0.8316	92  0.8500	5500720419  0.8662
57  12	106  0.9794	103  0.9517	104  0.9609	107  0.9886	6227026988  0.9806
58  12	129  1.1919	118  1.0903	126  1.1642	121  1.1180	7033151127  1.1076
59  12	157  1.4506	162  1.4968	128  1.1827	125  1.1549	7852931458  1.2367
60 N 12	313  2.8920	320  2.9567	325  3.0029	333  3.0768	17849476370  2.8109
61  13	34  0.3141	34  0.3141	48  0.4435	44  0.4065	2037906651  0.3209
62  13	35  0.3234	33  0.3049	45  0.4158	46  0.4250	2187019556  0.3444
63  13	41  0.3788	39  0.3603	40  0.3696	42  0.3881	2314542960  0.3645
64  13	34  0.3141	33  0.3049	31  0.2864	27  0.2495	2451437963  0.3860
65 N 13	145  1.3397	148  1.3675	200  1.8479	201  1.8572	9913593383  1.5612
U = 66	10823 41.8285	10823 41.8235	10823 42.1448	10823 42.1591	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	2052 18.9596	2048 18.9227	2038 18.8303	2037 18.8210	119358998783 18.7963
1 1	256  2.3653	255  2.3561	261  2.4115	263  2.4300	15075437352  2.3740
2 1	331  3.0583	322  2.9751	308  2.8458	309  2.8550	17958650211  2.8281
3 1	345  3.1877	350  3.2339	365  3.3724	366  3.3817	21361994439  3.3640
4 1	443  4.0931	459  4.2410	422  3.8991	433  4.0007	25528480621  4.0201
5 1 N	163  1.5061	168  1.5522	137  1.2658	144  1.3305	9154206126  1.4416
6 2	307  2.8366	305  2.8181	345  3.1877	347  3.2061	18791511418  2.9592
7 2	386  3.5665	395  3.6496	348  3.2154	343  3.1692	22088800625  3.4785
8 2	468  4.3241	465  4.2964	441  4.0747	435  4.0192	26002102208  4.0947
9 2	537  4.9617	519  4.7953	510  4.7122	511  4.7214	30496109913  4.8024
10 3	273  2.5224	270  2.4947	247  2.2822	247  2.2822	15168880833  2.3887
11 3	276  2.5501	277  2.5594	282  2.6056	280  2.5871	17647767441  2.7791
12 2 N	361  3.3355	381  3.5203	353  3.2616	339  3.1322	21192170146  3.3373
13 4	142  1.3120	145  1.3397	153  1.4137	152  1.4044	8352078922  1.3153
14 4	145  1.3397	154  1.4229	176  1.6262	182  1.6816	10306791805  1.6231
15 3	510  4.7122	490  4.5274	531  4.9062	529  4.8877	30412174290  4.7892
16 3	588  5.4329	581  5.3682	589  5.4421	585  5.4052	35369266210  5.5698
17 3 N	377  3.4833	375  3.4648	380  3.5110	384  3.5480	21621810315  3.4049
18 5	67  0.6191	66  0.6098	72  0.6652	73  0.6745	4918954504  0.7746
19 5	111  1.0256	112  1.0348	89  0.8223	94  0.8685	6307419874  0.9933
20 4	412  3.8067	413  3.8159	435  4.0192	433  4.0007	24619813919  3.8771
21 4	529  4.8877	521  4.8138	466  4.3056	462  4.2687	28756868129  4.5285
22 4 N	324  2.9936	327  3.0213	314  2.9012	304  2.8088	19299318906  3.0392
23 5	238  2.1990	241  2.2267	262  2.4208	266  2.4577	14305376462  2.2528
24 5	292  2.6980	292  2.6980	306  2.8273	314  2.9012	16882127404  2.6585
25 5 N	194  1.7925	204  1.8849	208  1.9218	216  1.9957	12637216524  1.9901
26 6	62  0.5729	62  0.5729	83  0.7669	82  0.7576	4042066459  0.6365
27 6	91  0.8408	89  0.8223	87  0.8038	92  0.8500	4996576787  0.7868
28 6	104  0.9609	101  0.9332	104  0.9609	104  0.9609	6084938998  0.9582
29 6	137  1.2658	130  1.2011	126  1.1642	124  1.1457	7241748711  1.1404
30 6 N	164  1.5153	166  1.5338	198  1.8294	187  1.7278	9797000990  1.5428
31 7	19  0.1756	19  0.1756	23  0.2125	22  0.2033	950467974  0.1497
32 7	11  0.1016	13  0.1201	24  0.2217	22  0.2033	1125576093  0.1773
33 7	22  0.2033	23  0.2125	24  0.2217	26  0.2402	1297292873  0.2043
34 7	18  0.1663	18  0.1663	23  0.2125	23  0.2125	1491113912  0.2348
35 7 N	68  0.6283	67  0.6191	93  0.8593	93  0.8593	4372449423  0.6886
U = 36	10823 11.3424	10823 11.3340	10823 11.5821	10823 11.5658	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  0.0186	0	1  0.0092
2 80	20  0.3729	8  0.1465	28  0.2587
3 90	168  3.1320	149  2.7294	317  2.9289
4 100	844 15.7345	834 15.2775	1678 15.5040
5 110	227  4.2319	236  4.3231	463  4.2779
6 120	221  4.1201	221  4.0484	442  4.0839
7 130	209  3.8963	207  3.7919	416  3.8437
8 140	578 10.7755	633 11.5955	1211 11.1891
10 300	286  5.3318	280  5.1291	566  5.2296
11 400	450  8.3893	422  7.7304	872  8.0569
12 420	629 11.7263	611 11.1925	1240 11.4571
13 430	325  6.0589	315  5.7703	640  5.9133
14 450	481  8.9672	521  9.5439	1002  9.2581
15 460	214  3.9896	221  4.0484	435  4.0192
16 500	24  0.4474	25  0.4580	49  0.4527
22 800	54  1.0067	52  0.9526	106  0.9794
23 920	116  2.1626	133  2.4363	249  2.3007
24 980	204  3.8031	202  3.7003	406  3.7513
25 990	175  3.2625	206  3.7736	381  3.5203
26 1100	4  0.0746	8  0.1465	12  0.1109
28 1400	6  0.1119	8  0.1465	14  0.1294
30 1440	22  0.4101	32  0.5862	54  0.4989
31 1510	38  0.7084	42  0.7694	80  0.7392
32 1520	68  1.2677	93  1.7036	161  1.4876
U = 25	5364 11.1471	5459 11.4613	10823 11.3056

Top     Main

Par N-S vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0186	0	1  0.0092
2 80	20  0.3729	8  0.1465	28  0.2587
3 90	168  3.1320	149  2.7294	317  2.9289
4 100	844 15.7345	0	844  7.7982
5 110	227  4.2319	552 10.1117	779  7.1976
6 120	221  4.1201	291  5.3306	512  4.7307
7 130	209  3.8963	264  4.8361	473  4.3703
8 140	578 10.7755	878 16.0835	1456 13.4528
9 200	0	146  2.6745	146  1.3490
10 300	286  5.3318	0	286  2.6425
11 400	0	499  9.1409	499  4.6106
12 420	0	754 13.8121	754  6.9666
13 430	0	332  6.0817	332  3.0675
14 450	0	556 10.1850	556  5.1372
15 460	0	222  4.0667	222  2.0512
16 500	473  8.8180	7  0.1282	480  4.4350
17 600	320  5.9657	0	320  2.9567
18 620	413  7.6995	0	413  3.8159
19 630	288  5.3691	0	288  2.6610
20 650	418  7.7927	0	418  3.8621
21 660	211  3.9336	0	211  1.9496
22 800	54  1.0067	25  0.4580	79  0.7299
23 920	0	159  2.9126	159  1.4691
24 980	0	220  4.0300	220  2.0327
25 990	0	210  3.8469	210  1.9403
26 1100	84  1.5660	4  0.0733	88  0.8131
27 1370	87  1.6219	0	87  0.8038
28 1400	79  1.4728	8  0.1465	87  0.8038
29 1430	103  1.9202	0	103  0.9517
30 1440	152  2.8337	36  0.6595	188  1.7370
31 1510	0	46  0.8426	46  0.4250
32 1520	0	93  1.7036	93  0.8593
33 1700	8  0.1491	0	8  0.0739
34 2000	7  0.1305	0	7  0.0647
35 2140	14  0.2610	0	14  0.1294
36 2210	31  0.5779	0	31  0.2864
37 2220	68  1.2677	0	68  0.6283
U = 38	5364 13.8214	5459 12.0500	10823 12.9279

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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  0.0186	0	1  0.0092
2 80	20  0.3729	8  0.1465	28  0.2587
3 90	168  3.1320	149  2.7294	317  2.9289
4 100	0	834 15.2775	834  7.7058
5 110	568 10.5891	236  4.3231	804  7.4286
6 120	314  5.8538	221  4.0484	535  4.9432
7 130	243  4.5302	207  3.7919	450  4.1578
8 140	812 15.1380	633 11.5955	1445 13.3512
9 200	142  2.6473	0	142  1.3120
10 300	0	280  5.1291	280  2.5871
11 400	523  9.7502	0	523  4.8323
12 420	790 14.7278	0	790  7.2993
13 430	341  6.3572	0	341  3.1507
14 450	511  9.5265	0	511  4.7214
15 460	214  3.9896	0	214  1.9773
16 500	6  0.1119	492  9.0126	498  4.6013
17 600	0	281  5.1475	281  2.5963
18 620	0	401  7.3457	401  3.7051
19 630	0	284  5.2024	284  2.6240
20 650	0	443  8.1150	443  4.0931
21 660	0	214  3.9201	214  1.9773
22 800	24  0.4474	52  0.9526	76  0.7022
23 920	142  2.6473	0	142  1.3120
24 980	227  4.2319	0	227  2.0974
25 990	178  3.3184	0	178  1.6446
26 1100	2  0.0373	87  1.5937	89  0.8223
27 1370	0	108  1.9784	108  0.9979
28 1400	4  0.0746	72  1.3189	76  0.7022
29 1430	0	114  2.0883	114  1.0533
30 1440	27  0.5034	176  3.2240	203  1.8756
31 1510	39  0.7271	0	39  0.3603
32 1520	68  1.2677	0	68  0.6283
33 1700	0	12  0.2198	12  0.1109
34 2000	0	8  0.1465	8  0.0739
35 2140	0	15  0.2748	15  0.1386
36 2210	0	39  0.7144	39  0.3603
37 2220	0	93  1.7036	93  0.8593
U = 38	5364 11.7302	5459 14.1412	10823 12.9463

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Par Both vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0186	0	1  0.0092
2 80	20  0.3729	8  0.1465	28  0.2587
3 90	168  3.1320	149  2.7294	317  2.9289
5 110	568 10.5891	552 10.1117	1120 10.3483
6 120	314  5.8538	291  5.3306	605  5.5899
7 130	243  4.5302	264  4.8361	507  4.6845
8 140	812 15.1380	878 16.0835	1690 15.6149
9 200	142  2.6473	146  2.6745	288  2.6610
16 500	286  5.3318	280  5.1291	566  5.2296
17 600	450  8.3893	422  7.7304	872  8.0569
18 620	629 11.7263	611 11.1925	1240 11.4571
19 630	325  6.0589	315  5.7703	640  5.9133
20 650	481  8.9672	521  9.5439	1002  9.2581
21 660	214  3.9896	221  4.0484	435  4.0192
22 800	24  0.4474	25  0.4580	49  0.4527
26 1100	54  1.0067	52  0.9526	106  0.9794
27 1370	116  2.1626	133  2.4363	249  2.3007
28 1400	55  1.0254	62  1.1357	117  1.0810
29 1430	159  2.9642	159  2.9126	318  2.9382
30 1440	169  3.1506	195  3.5721	364  3.3632
33 1700	6  0.1119	8  0.1465	14  0.1294
34 2000	8  0.1491	12  0.2198	20  0.1848
35 2140	17  0.3169	21  0.3847	38  0.3511
36 2210	35  0.6525	41  0.7511	76  0.7022
37 2220	68  1.2677	93  1.7036	161  1.4876
U = 26	5364 14.8596	5459 15.1799	10823 15.0212

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LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	1  0.0869	0	0	0
13	114  9.9044	91  7.9062	102  8.8619	76  6.6030
14	550 47.7845	521 45.2650	556 48.3058	533 46.3076
15	408 35.4474	448 38.9227	411 35.7081	446 38.7489
16	74  6.4292	87  7.5586	78  6.7767	92  7.9930
17	3  0.2606	3  0.2606	3  0.2606	3  0.2606
18	0	0	0	0
19	0	0	0	0
20	1  0.0869	1  0.0869	1  0.0869	1  0.0869
U = 9	1151 14.3953	1151 14.4744	1151 14.4170	1151 14.4944

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1736	2  0.1736	0	0
13	14  1.2153	12  1.0417	12  1.0417	8  0.6944
14	166 14.4097	136 11.8056	172 14.9306	141 12.2396
15	563 48.8715	560 48.6111	559 48.5243	561 48.6979
16	347 30.1215	374 32.4653	348 30.2083	373 32.3785
17	56  4.8611	64  5.5556	57  4.9479	65  5.6424
18	4  0.3472	4  0.3472	4  0.3472	4  0.3472
U = 7	1152 15.2352	1152 15.3021	1152 15.2413	1152 15.3108

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	3  0.1044	3  0.1044	0	0
13	17  0.5915	15  0.5219	4  0.1392	2  0.0696
14	109  3.7926	94  3.2707	84  2.9228	64  2.2269
15	612 21.2944	571 19.8678	599 20.8420	561 19.5198
16	1202 41.8232	1197 41.6493	1243 43.2498	1226 42.6583
17	729 25.3653	770 26.7919	737 25.6437	792 27.5574
18	174  6.0543	192  6.6806	176  6.1239	197  6.8546
19	24  0.8351	28  0.9743	28  0.9743	28  0.9743
20	3  0.1044	3  0.1044	2  0.0696	3  0.1044
21	0	0	0	0
22	1  0.0348	1  0.0348	1  0.0348	1  0.0348
U = 11	2874 16.0953	2874 16.1531	2874 16.1420	2874 16.2063

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0393	1  0.0393	0	0
11	0	0	0	0
12	0	0	0	0
13	4  0.1574	3  0.1180	1  0.0393	1  0.0393
14	14  0.5507	13  0.5114	7  0.2754	6  0.2360
15	130  5.1141	113  4.4453	116  4.5633	99  3.8946
16	553 21.7545	524 20.6137	555 21.8332	514 20.2203
17	997 39.2211	999 39.2998	1008 39.6538	1019 40.0865
18	645 25.3737	672 26.4359	658 25.8851	682 26.8293
19	178  7.0024	196  7.7105	176  6.9237	199  7.8285
20	20  0.7868	21  0.8261	21  0.8261	22  0.8655
U = 11	2542 17.0720	2542 17.1255	2542 17.1027	2542 17.1621

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	11  0.6659	9  0.5448	8  0.4843	7  0.4237
16	113  6.8402	104  6.2954	103  6.2349	94  5.6901
17	402 24.3341	388 23.4867	389 23.5472	372 22.5182
18	619 37.4697	617 37.3487	624 37.7724	620 37.5303
19	349 21.1259	359 21.7312	367 22.2155	379 22.9419
20	128  7.7482	142  8.5956	128  7.7482	146  8.8378
21	28  1.6949	29  1.7554	30  1.8160	28  1.6949
22	1  0.0605	3  0.1816	2  0.1211	5  0.3027
23	1  0.0605	1  0.0605	1  0.0605	1  0.0605
U = 9	1652 18.0224	1652 18.0751	1652 18.0648	1652 18.1205

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
16	13  1.3514	10  1.0395	13  1.3514	10  1.0395
17	124 12.8898	120 12.4740	104 10.8108	101 10.4990
18	262 27.2349	254 26.4033	272 28.2744	258 26.8191
19	309 32.1206	308 32.0166	303 31.4969	311 32.3285
20	197 20.4782	209 21.7256	209 21.7256	218 22.6611
21	51  5.3015	52  5.4054	54  5.6133	55  5.7173
22	5  0.5198	8  0.8316	6  0.6237	8  0.8316
23	1  0.1040	1  0.1040	1  0.1040	1  0.1040
U = 8	962 18.7599	962 18.8098	962 18.8129	962 18.8607

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	14  4.0936	14  4.0936	9  2.6316	9  2.6316
18	61 17.8363	59 17.2515	56 16.3743	55 16.0819
19	98 28.6550	96 28.0702	103 30.1170	100 29.2398
20	104 30.4094	100 29.2398	105 30.7018	101 29.5322
21	47 13.7427	50 14.6199	48 14.0351	52 15.2047
22	15  4.3860	18  5.2632	18  5.2632	19  5.5556
23	3  0.8772	5  1.4620	3  0.8772	6  1.7544
U = 7	342 19.4854	342 19.5468	342 19.5643	342 19.6228

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	1  0.8475	0	0	0
18	11  9.3220	11  9.3220	9  7.6271	9  7.6271
19	25 21.1864	25 21.1864	26 22.0339	25 21.1864
20	39 33.0508	40 33.8983	41 34.7458	41 34.7458
21	25 21.1864	23 19.4915	25 21.1864	23 19.4915
22	15 12.7119	16 13.5593	14 11.8644	16 13.5593
23	2  1.6949	3  2.5424	2  1.6949	3  2.5424
24	0	0	1  0.8475	1  0.8475
U = 8	118 20.0932	118 20.1441	118 20.1610	118 20.2119

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LoTT 22 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
18	1  4.0000	1  4.0000	1  4.0000	1  4.0000
19	5 20.0000	5 20.0000	5 20.0000	5 20.0000
20	6 24.0000	6 24.0000	6 24.0000	5 20.0000
21	7 28.0000	7 28.0000	6 24.0000	7 28.0000
22	3 12.0000	3 12.0000	4 16.0000	4 16.0000
23	2  8.0000	2  8.0000	2  8.0000	2  8.0000
24	1  4.0000	0	1  4.0000	0
25	0	1  4.0000	0	1  4.0000
U = 8	25 20.6400	25 20.6800	25 20.6800	25 20.7600

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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

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© 2019 Richard Pavlicek