Main   Stats 8H30 by Richard Pavlicek  

IMP Matches thru 1-15-20

Double-dummy stats for 11,637 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	214  1.8390	212  1.8218	158  1.3577	160  1.3749	9913593383  1.5612
1	456  3.9185	449  3.8584	435  3.7381	441  3.7896	23145762677  3.6449
2	708  6.0840	727  6.2473	657  5.6458	650  5.5856	37977932067  5.9806
3	951  8.1722	954  8.1980	981  8.4300	970  8.3355	52871069846  8.3260
4	1263 10.8533	1259 10.8189	1200 10.3119	1202 10.3291	67524194742 10.6335
5	1428 12.2712	1416 12.1681	1494 12.8384	1495 12.8470	80101714628 12.6142
6	1630 14.0070	1619 13.9125	1701 14.6172	1712 14.7117	90730441332 14.2880
7	1552 13.3368	1540 13.2337	1483 12.7438	1506 12.9415	84402158672 13.2914
8	1307 11.2314	1335 11.4720	1293 11.1111	1282 11.0166	71237104568 11.2182
9	911  7.8285	895  7.6910	882  7.5793	887  7.6222	47702049563  7.5120
10	589  5.0614	607  5.2161	611  5.2505	592  5.0872	32569065440  5.1289
11	340  2.9217	337  2.8959	381  3.2740	390  3.3514	20600866092  3.2442
12	215  1.8476	215  1.8476	259  2.2257	248  2.1311	11865157167  1.8685
13	73  0.6273	72  0.6187	102  0.8765	102  0.8765	4372449423  0.6886
U = 14	11637  5.9616	11637  5.9640	11637  6.0639	11637  6.0582	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	130  1.1171	133  1.1429	107  0.9195	106  0.9109	6949893015  1.0944
1	339  2.9131	333  2.8616	352  3.0248	356  3.0592	17646817412  2.7790
2	638  5.4825	627  5.3880	560  4.8122	555  4.7693	32992452829  5.1956
3	904  7.7683	909  7.8113	921  7.9144	935  8.0347	50476652542  7.9489
4	1206 10.3635	1214 10.4322	1244 10.6900	1242 10.6729	66372975438 10.4522
5	1359 11.6783	1375 11.8158	1485 12.7610	1480 12.7181	77821925315 12.2552
6	1486 12.7696	1465 12.5892	1529 13.1391	1524 13.0962	82551854345 13.0000
7	1551 13.3282	1548 13.3024	1408 12.0993	1414 12.1509	80760822737 12.7180
8	1372 11.7900	1385 11.9017	1299 11.1627	1302 11.1885	73465633954 11.5691
9	1098  9.4354	1086  9.3323	1098  9.4354	1102  9.4698	60489162482  9.5256
10	809  6.9520	814  6.9949	824  7.0809	808  6.9434	43661750688  6.8757
11	465  3.9959	470  4.0388	505  4.3396	516  4.4341	26377787548  4.1539
12	233  2.0022	233  2.0022	241  2.0710	230  1.9765	12128527136  1.9100
13	47  0.4039	45  0.3867	64  0.5500	67  0.5757	3317304159  0.5224
U = 14	11637  6.2893	11637  6.2917	11637  6.3125	11637  6.3076	635013559600  6.2957

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Heart make = hm

Value	North	South	West	East	Empirical
0	140  1.2031	138  1.1859	127  1.0913	122  1.0484	6949893015  1.0944
1	346  2.9733	349  2.9991	334  2.8702	336  2.8873	17646817412  2.7790
2	649  5.5770	649  5.5770	596  5.1216	591  5.0786	32992452829  5.1956
3	933  8.0175	935  8.0347	901  7.7425	904  7.7683	50476652542  7.9489
4	1214 10.4322	1216 10.4494	1206 10.3635	1208 10.3807	66372975438 10.4522
5	1419 12.1939	1418 12.1853	1435 12.3314	1436 12.3400	77821925315 12.2552
6	1511 12.9844	1499 12.8813	1459 12.5376	1452 12.4774	82551854345 13.0000
7	1450 12.4603	1455 12.5032	1477 12.6923	1501 12.8985	80760822737 12.7180
8	1319 11.3345	1328 11.4119	1336 11.4806	1320 11.3431	73465633954 11.5691
9	1087  9.3409	1075  9.2378	1119  9.6159	1141  9.8049	60489162482  9.5256
10	802  6.8918	806  6.9262	818  7.0293	799  6.8660	43661750688  6.8757
11	487  4.1849	494  4.2451	513  4.4084	519  4.4599	26377787548  4.1539
12	220  1.8905	214  1.8390	241  2.0710	233  2.0022	12128527136  1.9100
13	60  0.5156	61  0.5242	75  0.6445	75  0.6445	3317304159  0.5224
U = 14	11637  6.2509	11637  6.2507	11637  6.3393	11637  6.3384	635013559600  6.2957

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Diamond make = dm

Value	North	South	West	East	Empirical
0	152  1.3062	152  1.3062	98  0.8421	101  0.8679	6949893015  1.0944
1	318  2.7327	319  2.7413	338  2.9045	329  2.8272	17646817412  2.7790
2	599  5.1474	601  5.1646	565  4.8552	565  4.8552	32992452829  5.1956
3	983  8.4472	980  8.4214	890  7.6480	893  7.6738	50476652542  7.9489
4	1201 10.3205	1201 10.3205	1225 10.5268	1228 10.5525	66372975438 10.4522
5	1333 11.4548	1343 11.5408	1551 13.3282	1551 13.3282	77821925315 12.2552
6	1526 13.1133	1518 13.0446	1473 12.6579	1469 12.6235	82551854345 13.0000
7	1509 12.9673	1489 12.7954	1468 12.6149	1480 12.7181	80760822737 12.7180
8	1438 12.3571	1434 12.3228	1306 11.2228	1305 11.2142	73465633954 11.5691
9	1104  9.4870	1120  9.6245	1123  9.6503	1101  9.4612	60489162482  9.5256
10	731  6.2817	734  6.3075	818  7.0293	830  7.1324	43661750688  6.8757
11	474  4.0732	474  4.0732	466  4.0045	469  4.0302	26377787548  4.1539
12	226  1.9421	230  1.9765	240  2.0624	241  2.0710	12128527136  1.9100
13	43  0.3695	42  0.3609	76  0.6531	75  0.6445	3317304159  0.5224
U = 14	11637  6.2635	11637  6.2665	11637  6.3277	11637  6.3293	635013559600  6.2957

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Club make = cm

Value	North	South	West	East	Empirical
0	149  1.2804	152  1.3062	121  1.0398	120  1.0312	6949893015  1.0944
1	342  2.9389	331  2.8444	327  2.8100	329  2.8272	17646817412  2.7790
2	609  5.2333	616  5.2935	578  4.9669	573  4.9239	32992452829  5.1956
3	865  7.4332	882  7.5793	906  7.7855	921  7.9144	50476652542  7.9489
4	1211 10.4065	1209 10.3893	1217 10.4580	1204 10.3463	66372975438 10.4522
5	1556 13.3711	1556 13.3711	1345 11.5580	1328 11.4119	77821925315 12.2552
6	1515 13.0188	1498 12.8727	1500 12.8899	1526 13.1133	82551854345 13.0000
7	1474 12.6665	1466 12.5977	1545 13.2766	1544 13.2680	80760822737 12.7180
8	1289 11.0767	1302 11.1885	1423 12.2282	1437 12.3485	73465633954 11.5691
9	1073  9.2206	1069  9.1862	1107  9.5128	1095  9.4096	60489162482  9.5256
10	806  6.9262	804  6.9090	743  6.3848	752  6.4621	43661750688  6.8757
11	462  3.9701	471  4.0474	479  4.1162	470  4.0388	26377787548  4.1539
12	227  1.9507	223  1.9163	263  2.2600	255  2.1913	12128527136  1.9100
13	59  0.5070	58  0.4984	83  0.7132	83  0.7132	3317304159  0.5224
U = 14	11637  6.2550	11637  6.2527	11637  6.3496	11637  6.3451	635013559600  6.2957

Top     Main

Longest fit = lf

Value	North	South	West	East	Theoretical
7	1847 15.8718	1847 15.8718	1842 15.8288	1842 15.8288	13006498437504 15.7363
8	5324 45.7506	5324 45.7506	5316 45.6819	5316 45.6819	37809373653909 45.7447
9	3285 28.2289	3285 28.2289	3332 28.6328	3332 28.6328	23225440992325 28.0999
10	1010  8.6792	1010  8.6792	955  8.2066	955  8.2066	7168401039800  8.6729
11	156  1.3406	156  1.3406	169  1.4523	169  1.4523	1307227435020  1.5816
12	15  0.1289	15  0.1289	23  0.1976	23  0.1976	130732315831  0.1582
13	0	0	0	0	5414950295  0.0066
U = 7	11637  8.3425	11637  8.3425	11637  8.3436	11637  8.3436	82653088824684  8.3512

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Longest fit make = lm

Value	North	South	West	East	Empirical
0	0	0	1  0.0086	1  0.0086	22876394  0.0036
1	4  0.0344	6  0.0516	5  0.0430	6  0.0516	251246691  0.0396
2	34  0.2922	30  0.2578	29  0.2492	29  0.2492	1556124656  0.2451
3	119  1.0226	120  1.0312	93  0.7992	94  0.8078	5892722789  0.9280
4	300  2.5780	307  2.6381	296  2.5436	296  2.5436	16409883547  2.5842
5	681  5.8520	683  5.8692	700  6.0153	696  5.9809	35643298455  5.6130
6	1125  9.6674	1113  9.5643	1119  9.6159	1119  9.6159	62031256233  9.7685
7	1672 14.3680	1687 14.4969	1642 14.1102	1667 14.3250	89999744190 14.1729
8	2058 17.6850	2053 17.6420	1989 17.0920	1978 16.9975	110099842849 17.3382
9	2045 17.5733	2024 17.3928	2047 17.5904	2035 17.4873	113173167471 17.8222
10	1738 14.9351	1760 15.1242	1727 14.8406	1736 14.9179	95919764225 15.1052
11	1139  9.7877	1137  9.7706	1168 10.0370	1169 10.0455	64150449024 10.1022
12	581  4.9927	574  4.9325	622  5.3450	612  5.2591	31112561346  4.8995
13	141  1.2117	143  1.2288	199  1.7101	199  1.7101	8750621730  1.3780
U = 14	11637  8.3416	11637  8.3398	11637  8.3989	11637  8.3941	635013559600  8.3753

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Best fit = bf

Value	North	South	West	East	Empirical
5	0	0	2  0.0172	2  0.0172	10461673  0.0016
6	19  0.1633	16  0.1375	18  0.1547	19  0.1633	1222077835  0.1924
7	1965 16.8858	1965 16.8858	1936 16.6366	1930 16.5850	105351212255 16.5904
8	5255 45.1577	5262 45.2178	5277 45.3467	5279 45.3639	287234089436 45.2327
9	3225 27.7133	3223 27.6961	3267 28.0742	3270 28.1000	175437245133 27.6273
10	1003  8.6191	1001  8.6019	947  8.1378	946  8.1292	54701014789  8.6141
11	155  1.3320	155  1.3320	167  1.4351	168  1.4437	10008187498  1.5761
12	15  0.1289	15  0.1289	23  0.1976	23  0.1976	1006364496  0.1585
13	0	0	0	0	42906485  0.0068
U = 9	11637  8.3225	11637  8.3225	11637  8.3245	11637  8.3252	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  0.0172	3  0.0258	3  0.0258	3  0.0258	132231913  0.0208
2	30  0.2578	27  0.2320	25  0.2148	25  0.2148	1339624042  0.2110
3	115  0.9882	116  0.9968	91  0.7820	94  0.8078	5671089748  0.8931
4	294  2.5264	299  2.5694	293  2.5178	288  2.4749	16177592015  2.5476
5	669  5.7489	673  5.7833	696  5.9809	696  5.9809	35415185536  5.5771
6	1125  9.6674	1115  9.5815	1104  9.4870	1106  9.5042	61775936908  9.7283
7	1662 14.2820	1679 14.4281	1636 14.0586	1662 14.2820	89711329037 14.1275
8	2063 17.7279	2050 17.6162	1991 17.1092	1980 17.0147	109962826727 17.3166
9	2057 17.6764	2036 17.4959	2054 17.6506	2035 17.4873	113305081446 17.8429
10	1736 14.9179	1759 15.1156	1735 14.9093	1748 15.0211	96187452851 15.1473
11	1140  9.7963	1144  9.8307	1165 10.0112	1169 10.0455	64547826059 10.1648
12	599  5.1474	589  5.0614	641  5.5083	628  5.3966	31646530587  4.9836
13	145  1.2460	147  1.2632	203  1.7444	203  1.7444	9139338741  1.4392
U = 14	11637  8.3614	11637  8.3601	11637  8.4183	11637  8.4133	635013559600  8.3938

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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  0.0086	1  0.0086	1  0.0086	11612306  0.0018
3  1	0	0	0	0	25874094  0.0041
4  1	1  0.0086	1  0.0086	1  0.0086	1  0.0086	53231899  0.0084
5 N 1	1  0.0086	1  0.0086	1  0.0086	1  0.0086	36956503  0.0058
6  2	2  0.0172	2  0.0172	4  0.0344	4  0.0344	120316810  0.0189
7  2	3  0.0258	2  0.0172	7  0.0602	7  0.0602	198635528  0.0313
8  2	11  0.0945	11  0.0945	6  0.0516	6  0.0516	326628269  0.0514
9  2	11  0.0945	10  0.0859	5  0.0430	5  0.0430	500918833  0.0789
10 N 2	3  0.0258	2  0.0172	3  0.0258	3  0.0258	185145875  0.0292
11  3	13  0.1117	12  0.1031	9  0.0773	10  0.0859	708986520  0.1116
12  3	27  0.2320	30  0.2578	22  0.1891	23  0.1976	998658286  0.1573
13  3	27  0.2320	26  0.2234	22  0.1891	23  0.1976	1395338886  0.2197
14  3	36  0.3094	37  0.3180	26  0.2234	26  0.2234	1910125869  0.3008
15 N 3	11  0.0945	9  0.0773	12  0.1031	12  0.1031	600509115  0.0946
16  4	49  0.4211	50  0.4297	40  0.3437	38  0.3265	2289229042  0.3605
17  4	49  0.4211	47  0.4039	55  0.4726	55  0.4726	2994612265  0.4716
18  4	68  0.5843	69  0.5929	72  0.6187	72  0.6187	3903975403  0.6148
19  4	99  0.8507	104  0.8937	90  0.7734	87  0.7476	5081012026  0.8001
20 N 4	25  0.2148	28  0.2406	29  0.2492	32  0.2750	1713322270  0.2698
21  5	123  1.0570	122  1.0484	94  0.8078	94  0.8078	5390835002  0.8489
22  5	136  1.1687	141  1.2117	141  1.2117	140  1.2031	6765583620  1.0654
23  5	176  1.5124	171  1.4695	166  1.4265	167  1.4351	8498769442  1.3384
24  5	169  1.4523	172  1.4780	206  1.7702	210  1.8046	10602398413  1.6696
25 N 5	59  0.5070	59  0.5070	88  0.7562	80  0.6875	3790350430  0.5969
26  6	186  1.5984	186  1.5984	172  1.4780	178  1.5296	9966643603  1.5695
27  6	230  1.9765	232  1.9936	199  1.7101	202  1.7358	12109712021  1.9070
28  6	257  2.2085	253  2.1741	282  2.4233	280  2.4061	14729112069  2.3195
29  6	324  2.7842	324  2.7842	330  2.8358	329  2.8272	17910202521  2.8204
30 N 6	114  0.9796	102  0.8765	114  0.9796	110  0.9453	6534760658  1.0291
31  7	272  2.3374	274  2.3546	289  2.4835	294  2.5264	15075437352  2.3740
32  7	352  3.0248	342  2.9389	334  2.8702	333  2.8616	17958650211  2.8281
33  7	369  3.1709	376  3.2311	400  3.4373	401  3.4459	21361994439  3.3640
34  7	475  4.0818	491  4.2193	452  3.8842	464  3.9873	25528480621  4.0201
35 N 7	184  1.5812	191  1.6413	148  1.2718	155  1.3320	9154206125  1.4416
36  8	336  2.8873	331  2.8444	363  3.1194	364  3.1280	18791511418  2.9592
37  8	417  3.5834	425  3.6521	373  3.2053	370  3.1795	22088800625  3.4785
38  8	498  4.2795	495  4.2537	478  4.1076	472  4.0560	26002102208  4.0947
39  8	575  4.9411	556  4.7779	546  4.6919	548  4.7091	30496109913  4.8024
40 N 8	236  2.0280	241  2.0710	213  1.8304	213  1.8304	12173466153  1.9170
41  9	365  3.1365	364  3.1280	332  2.8530	326  2.8014	19155398988  3.0165
42  9	374  3.2139	387  3.3256	402  3.4545	391  3.3600	22679953280  3.5716
43  9	480  4.1248	463  3.9787	503  4.3224	505  4.3396	26645003052  4.1960
44  9	566  4.8638	565  4.8552	563  4.8380	555  4.7693	31116921638  4.9002
45 N 9	264  2.2686	253  2.1741	268  2.3030	269  2.3116	13776418529  2.1695
46  10	293  2.5178	299  2.5694	267  2.2944	266  2.2858	15678126613  2.4689
47  10	300  2.5780	306  2.6295	348  2.9905	363  3.1194	18845651711  2.9678
48  10	398  3.4201	396  3.4029	410  3.5232	413  3.5490	22346330376  3.5190
49  10	511  4.3912	509  4.3740	469  4.0302	470  4.0388	26213758053  4.1281
50 N 10	254  2.1827	266  2.2858	249  2.1397	242  2.0796	13730953401  2.1623
51  11	160  1.3749	156  1.3406	164  1.4093	152  1.3062	9697289588  1.5271
52  11	219  1.8819	216  1.8561	199  1.7101	195  1.6757	11914043914  1.8762
53  11	258  2.2171	261  2.2428	274  2.3546	278  2.3889	14305376462  2.2528
54  11	315  2.7069	315  2.7069	322  2.7670	330  2.8358	16882127404  2.6585
55 N 11	205  1.7616	211  1.8132	223  1.9163	232  1.9936	12637216524  1.9901
56  12	73  0.6273	72  0.6187	89  0.7648	88  0.7562	4042066459  0.6365
57  12	97  0.8335	95  0.8164	94  0.8078	99  0.8507	4996576787  0.7868
58  12	107  0.9195	106  0.9109	108  0.9281	109  0.9367	6084938998  0.9582
59  12	147  1.2632	141  1.2117	138  1.1859	134  1.1515	7241748711  1.1404
60 N 12	179  1.5382	180  1.5468	214  1.8390	204  1.7530	9797000990  1.5428
61  13	20  0.1719	20  0.1719	27  0.2320	26  0.2234	950467974  0.1497
62  13	12  0.1031	14  0.1203	27  0.2320	25  0.2148	1125576093  0.1773
63  13	23  0.1976	24  0.2062	25  0.2148	26  0.2234	1297292873  0.2043
64  13	20  0.1719	20  0.1719	27  0.2320	27  0.2320	1491113912  0.2348
65 N 13	73  0.6273	72  0.6187	102  0.8765	102  0.8765	4372449423  0.6886
U = 66	11637 39.9292	11637 39.9211	11637 40.2172	11637 40.1949	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  0.0086	1  0.0086	9447300  0.0015
3  1	0	0	0	0	21574362  0.0034
4  1	1  0.0086	1  0.0086	1  0.0086	1  0.0086	42527988  0.0067
5 N 1	1  0.0086	0	1  0.0086	1  0.0086	26388851  0.0042
6  2	2  0.0172	1  0.0086	2  0.0172	2  0.0172	84995416  0.0134
7  2	3  0.0258	3  0.0258	4  0.0344	4  0.0344	142224249  0.0224
8  2	5  0.0430	4  0.0344	6  0.0516	6  0.0516	231292299  0.0364
9  2	8  0.0687	9  0.0773	6  0.0516	7  0.0602	363266834  0.0572
10 N 2	3  0.0258	3  0.0258	3  0.0258	3  0.0258	127432564  0.0201
11  3	7  0.0602	8  0.0687	6  0.0516	7  0.0602	493076363  0.0776
12  3	19  0.1633	20  0.1719	16  0.1375	12  0.1031	693513539  0.1092
13  3	22  0.1891	25  0.2148	15  0.1289	18  0.1547	1000823292  0.1576
14  3	31  0.2664	26  0.2234	16  0.1375	18  0.1547	1395369165  0.2197
15 N 3	6  0.0516	9  0.0773	5  0.0430	6  0.0516	517057969  0.0814
16  4	30  0.2578	31  0.2664	27  0.2320	26  0.2234	1644254032  0.2589
17  4	51  0.4383	47  0.4039	39  0.3351	38  0.3265	2174377737  0.3424
18  4	59  0.5070	56  0.4812	52  0.4469	53  0.4554	2890268054  0.4552
19  4	74  0.6359	70  0.6015	78  0.6703	71  0.6101	3825111648  0.6024
20 N 4	26  0.2234	26  0.2234	24  0.2062	28  0.2406	1603391433  0.2525
21  5	88  0.7562	92  0.7906	71  0.6101	65  0.5586	3998705776  0.6297
22  5	96  0.8250	97  0.8335	104  0.8937	96  0.8250	5059967561  0.7968
23  5	115  0.9882	120  1.0312	119  1.0226	114  0.9796	6444920473  1.0149
24  5	139  1.1945	144  1.2374	157  1.3491	152  1.3062	8171172220  1.2868
25 N 5	78  0.6703	81  0.6961	82  0.7046	81  0.6961	3680646693  0.5796
26  6	160  1.3749	153  1.3148	140  1.2031	141  1.2117	7757580348  1.2216
27  6	177  1.5210	172  1.4780	157  1.3491	158  1.3577	9525027771  1.5000
28  6	238  2.0452	241  2.0710	230  1.9765	236  2.0280	11764658491  1.8527
29  6	257  2.2085	248  2.1311	287  2.4663	285  2.4491	14509280677  2.2849
30 N 6	114  0.9796	122  1.0484	97  0.8335	105  0.9023	6740920718  1.0615
31  7	215  1.8476	226  1.9421	220  1.8905	229  1.9679	12379732192  1.9495
32  7	265  2.2772	260  2.2343	255  2.1913	263  2.2600	14970987161  2.3576
33  7	306  2.6295	302  2.5952	343  2.9475	349  2.9991	18071185110  2.8458
34  7	394  3.3858	399  3.4287	401  3.4459	408  3.5061	21830271641  3.4378
35 N 7	212  1.8218	211  1.8132	209  1.7960	199  1.7101	11424585988  1.7991
36  8	287  2.4663	282  2.4233	335  2.8787	334  2.8702	16339498138  2.5731
37  8	375  3.2225	383  3.2912	333  2.8616	333  2.8616	19709383181  3.1038
38  8	461  3.9615	452  3.8842	449  3.8584	444  3.8154	23605758352  3.7174
39  8	535  4.5974	534  4.5888	508  4.3654	507  4.3568	28085928185  4.4229
40 N 8	310  2.6639	310  2.6639	279  2.3975	282  2.4233	16270929517  2.5623
41  9	340  2.9217	325  2.7928	273  2.3460	270  2.3202	17610462720  2.7732
42  9	376  3.2311	383  3.2912	402  3.4545	394  3.3858	21330730539  3.3591
43  9	469  4.0302	471  4.0474	488  4.1935	486  4.1763	25409571822  4.0014
44  9	572  4.9154	580  4.9841	531  4.5630	533  4.5802	30048695498  4.7320
45 N 9	362  3.1108	362  3.1108	381  3.2740	388  3.3342	20125215758  3.1693
46  10	258  2.2171	264  2.2686	267  2.2944	264  2.2686	15180947336  2.3906
47  10	325  2.7928	324  2.7842	341  2.9303	330  2.8358	18360372398  2.8913
48  10	391  3.3600	383  3.2912	420  3.6092	420  3.6092	21797024413  3.4325
49  10	464  3.9873	473  4.0646	439  3.7724	434  3.7295	25500986557  4.0158
50 N 10	427  3.6693	431  3.7037	408  3.5061	417  3.5834	22971290435  3.6174
51  11	180  1.5468	183  1.5726	176  1.5124	184  1.5812	10149896990  1.5984
52  11	208  1.7874	212  1.8218	218  1.8733	214  1.8390	12077115810  1.9019
53  11	255  2.1913	254  2.1827	267  2.2944	262  2.2514	14119413033  2.2235
54  11	275  2.3632	270  2.3202	293  2.5178	311  2.6725	16390731570  2.5812
55 N 11	401  3.4459	399  3.4287	434  3.7295	421  3.6178	22941283147  3.6127
56  12	100  0.8593	95  0.8164	97  0.8335	100  0.8593	5500720419  0.8662
57  12	111  0.9539	109  0.9367	111  0.9539	115  0.9882	6227026988  0.9806
58  12	137  1.1773	127  1.0913	131  1.1257	126  1.0828	7033151127  1.1076
59  12	168  1.4437	172  1.4780	141  1.2117	140  1.2031	7852931458  1.2367
60 N 12	334  2.8702	342  2.9389	350  3.0076	358  3.0764	17849476370  2.8109
61  13	37  0.3180	37  0.3180	52  0.4469	48  0.4125	2037906651  0.3209
62  13	37  0.3180	35  0.3008	49  0.4211	50  0.4297	2187019556  0.3444
63  13	43  0.3695	41  0.3523	43  0.3695	45  0.3867	2314542960  0.3645
64  13	39  0.3351	37  0.3180	35  0.3008	30  0.2578	2451437963  0.3860
65 N 13	158  1.3577	160  1.3749	212  1.8218	214  1.8390	9913593383  1.5612
U = 66	11637 41.8210	11637 41.8168	11637 42.1240	11637 42.1398	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	2210 18.9911	2204 18.9396	2197 18.8794	2196 18.8708	119358998783 18.7963
1 1	272  2.3374	274  2.3546	289  2.4835	294  2.5264	15075437352  2.3740
2 1	352  3.0248	342  2.9389	334  2.8702	333  2.8616	17958650211  2.8281
3 1	369  3.1709	376  3.2311	400  3.4373	401  3.4459	21361994439  3.3640
4 1	475  4.0818	491  4.2193	452  3.8842	464  3.9873	25528480621  4.0201
5 1 N	184  1.5812	191  1.6413	148  1.2718	155  1.3320	9154206126  1.4416
6 2	336  2.8873	331  2.8444	363  3.1194	364  3.1280	18791511418  2.9592
7 2	417  3.5834	425  3.6521	373  3.2053	370  3.1795	22088800625  3.4785
8 2	498  4.2795	495  4.2537	478  4.1076	472  4.0560	26002102208  4.0947
9 2	575  4.9411	556  4.7779	546  4.6919	548  4.7091	30496109913  4.8024
10 3	283  2.4319	281  2.4147	267  2.2944	267  2.2944	15168880833  2.3887
11 3	297  2.5522	299  2.5694	302  2.5952	299  2.5694	17647767441  2.7791
12 2 N	395  3.3943	412  3.5404	378  3.2483	364  3.1280	21192170146  3.3373
13 4	151  1.2976	155  1.3320	156  1.3406	156  1.3406	8352078922  1.3153
14 4	155  1.3320	165  1.4179	189  1.6241	198  1.7015	10306791805  1.6231
15 3	549  4.7177	532  4.5716	571  4.9068	571  4.9068	30412174290  4.7892
16 3	639  5.4911	628  5.3966	627  5.3880	625  5.3708	35369266210  5.5698
17 3 N	409  3.5147	406  3.4889	406  3.4889	408  3.5061	21621810315  3.4049
18 5	75  0.6445	76  0.6531	81  0.6961	81  0.6961	4918954504  0.7746
19 5	119  1.0226	120  1.0312	96  0.8250	100  0.8593	6307419874  0.9933
20 4	440  3.7810	439  3.7724	457  3.9271	454  3.9013	24619813919  3.8771
21 4	561  4.8208	556  4.7779	510  4.3826	506  4.3482	28756868129  4.5285
22 4 N	347  2.9819	352  3.0248	347  2.9819	331  2.8444	19299318906  3.0392
23 5	258  2.2171	261  2.2428	274  2.3546	278  2.3889	14305376462  2.2528
24 5	315  2.7069	315  2.7069	322  2.7670	330  2.8358	16882127404  2.6585
25 5 N	205  1.7616	211  1.8132	223  1.9163	232  1.9936	12637216524  1.9901
26 6	73  0.6273	72  0.6187	89  0.7648	88  0.7562	4042066459  0.6365
27 6	97  0.8335	95  0.8164	94  0.8078	99  0.8507	4996576787  0.7868
28 6	107  0.9195	106  0.9109	108  0.9281	109  0.9367	6084938998  0.9582
29 6	147  1.2632	141  1.2117	138  1.1859	134  1.1515	7241748711  1.1404
30 6 N	179  1.5382	180  1.5468	214  1.8390	204  1.7530	9797000990  1.5428
31 7	20  0.1719	20  0.1719	27  0.2320	26  0.2234	950467974  0.1497
32 7	12  0.1031	14  0.1203	27  0.2320	25  0.2148	1125576093  0.1773
33 7	23  0.1976	24  0.2062	25  0.2148	26  0.2234	1297292873  0.2043
34 7	20  0.1719	20  0.1719	27  0.2320	27  0.2320	1491113912  0.2348
35 7 N	73  0.6273	72  0.6187	102  0.8765	102  0.8765	4372449423  0.6886
U = 36	11637 11.3404	11637 11.3318	11637 11.5679	11637 11.5438	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  0.0173	0	1  0.0086
2 80	21  0.3638	9  0.1535	30  0.2578
3 90	182  3.1526	159  2.7115	341  2.9303
4 100	903 15.6418	910 15.5184	1813 15.5796
5 110	240  4.1573	253  4.3145	493  4.2365
6 120	241  4.1746	230  3.9222	471  4.0474
7 130	222  3.8455	222  3.7858	444  3.8154
8 140	631 10.9302	674 11.4939	1305 11.2142
10 300	305  5.2832	298  5.0819	603  5.1817
11 400	491  8.5051	453  7.7251	944  8.1121
12 420	674 11.6750	660 11.2551	1334 11.4634
13 430	347  6.0107	347  5.9175	694  5.9637
14 450	522  9.0421	545  9.2940	1067  9.1690
15 460	224  3.8801	238  4.0587	462  3.9701
16 500	24  0.4157	25  0.4263	49  0.4211
22 800	58  1.0047	57  0.9720	115  0.9882
23 920	132  2.2865	144  2.4557	276  2.3717
24 980	215  3.7242	214  3.6494	429  3.6865
25 990	192  3.3258	222  3.7858	414  3.5576
26 1100	5  0.0866	8  0.1364	13  0.1117
28 1400	6  0.1039	8  0.1364	14  0.1203
30 1440	23  0.3984	39  0.6651	62  0.5328
31 1510	41  0.7102	47  0.8015	88  0.7562
32 1520	73  1.2645	102  1.7394	175  1.5038
U = 25	5773 11.1585	5864 11.4760	11637 11.3185

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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  0.0173	0	1  0.0086
2 80	21  0.3638	9  0.1535	30  0.2578
3 90	182  3.1526	159  2.7115	341  2.9303
4 100	903 15.6418	0	903  7.7597
5 110	240  4.1573	599 10.2149	839  7.2098
6 120	241  4.1746	312  5.3206	553  4.7521
7 130	222  3.8455	281  4.7920	503  4.3224
8 140	631 10.9302	941 16.0471	1572 13.5086
9 200	0	156  2.6603	156  1.3406
10 300	305  5.2832	0	305  2.6210
11 400	0	537  9.1576	537  4.6146
12 420	0	810 13.8131	810  6.9606
13 430	0	365  6.2244	365  3.1365
14 450	0	581  9.9079	581  4.9927
15 460	0	239  4.0757	239  2.0538
16 500	504  8.7303	9  0.1535	513  4.4084
17 600	352  6.0973	0	352  3.0248
18 620	442  7.6563	0	442  3.7982
19 630	309  5.3525	0	309  2.6553
20 650	454  7.8642	0	454  3.9013
21 660	221  3.8282	0	221  1.8991
22 800	58  1.0047	25  0.4263	83  0.7132
23 920	0	171  2.9161	171  1.4695
24 980	0	235  4.0075	235  2.0194
25 990	0	227  3.8711	227  1.9507
26 1100	90  1.5590	4  0.0682	94  0.8078
27 1370	99  1.7149	0	99  0.8507
28 1400	88  1.5243	8  0.1364	96  0.8250
29 1430	108  1.8708	0	108  0.9281
30 1440	165  2.8581	43  0.7333	208  1.7874
31 1510	0	51  0.8697	51  0.4383
32 1520	0	102  1.7394	102  0.8765
33 1700	9  0.1559	0	9  0.0773
34 2000	7  0.1213	0	7  0.0602
35 2140	14  0.2425	0	14  0.1203
36 2210	34  0.5889	0	34  0.2922
37 2220	73  1.2645	0	73  0.6273
U = 38	5773 13.8368	5864 12.0663	11637 12.9447

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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  0.0173	0	1  0.0086
2 80	21  0.3638	9  0.1535	30  0.2578
3 90	182  3.1526	159  2.7115	341  2.9303
4 100	0	910 15.5184	910  7.8199
5 110	606 10.4971	253  4.3145	859  7.3816
6 120	341  5.9068	230  3.9222	571  4.9068
7 130	259  4.4864	222  3.7858	481  4.1334
8 140	884 15.3127	674 11.4939	1558 13.3883
9 200	147  2.5463	0	147  1.2632
10 300	0	298  5.0819	298  2.5608
11 400	571  9.8909	0	571  4.9068
12 420	844 14.6198	0	844  7.2527
13 430	365  6.3225	0	365  3.1365
14 450	552  9.5618	0	552  4.7435
15 460	224  3.8801	0	224  1.9249
16 500	7  0.1213	519  8.8506	526  4.5201
17 600	0	304  5.1842	304  2.6124
18 620	0	436  7.4352	436  3.7467
19 630	0	313  5.3377	313  2.6897
20 650	0	465  7.9297	465  3.9959
21 660	0	231  3.9393	231  1.9850
22 800	24  0.4157	57  0.9720	81  0.6961
23 920	159  2.7542	0	159  1.3663
24 980	241  4.1746	0	241  2.0710
25 990	195  3.3778	0	195  1.6757
26 1100	2  0.0346	96  1.6371	98  0.8421
27 1370	0	114  1.9441	114  0.9796
28 1400	5  0.0866	73  1.2449	78  0.6703
29 1430	0	123  2.0975	123  1.0570
30 1440	28  0.4850	190  3.2401	218  1.8733
31 1510	42  0.7275	0	42  0.3609
32 1520	73  1.2645	0	73  0.6273
33 1700	0	14  0.2387	14  0.1203
34 2000	0	11  0.1876	11  0.0945
35 2140	0	18  0.3070	18  0.1547
36 2210	0	43  0.7333	43  0.3695
37 2220	0	102  1.7394	102  0.8765
U = 38	5773 11.7341	5864 14.1629	11637 12.9580

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Par Both vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0173	0	1  0.0086
2 80	21  0.3638	9  0.1535	30  0.2578
3 90	182  3.1526	159  2.7115	341  2.9303
5 110	606 10.4971	599 10.2149	1205 10.3549
6 120	341  5.9068	312  5.3206	653  5.6114
7 130	259  4.4864	281  4.7920	540  4.6404
8 140	884 15.3127	941 16.0471	1825 15.6827
9 200	147  2.5463	156  2.6603	303  2.6038
16 500	305  5.2832	298  5.0819	603  5.1817
17 600	491  8.5051	453  7.7251	944  8.1121
18 620	674 11.6750	660 11.2551	1334 11.4634
19 630	347  6.0107	347  5.9175	694  5.9637
20 650	522  9.0421	545  9.2940	1067  9.1690
21 660	224  3.8801	238  4.0587	462  3.9701
22 800	24  0.4157	25  0.4263	49  0.4211
26 1100	58  1.0047	57  0.9720	115  0.9882
27 1370	132  2.2865	144  2.4557	276  2.3717
28 1400	57  0.9874	66  1.1255	123  1.0570
29 1430	170  2.9447	168  2.8649	338  2.9045
30 1440	185  3.2046	210  3.5812	395  3.3943
33 1700	6  0.1039	8  0.1364	14  0.1203
34 2000	9  0.1559	14  0.2387	23  0.1976
35 2140	17  0.2945	26  0.4434	43  0.3695
36 2210	38  0.6582	46  0.7844	84  0.7218
37 2220	73  1.2645	102  1.7394	175  1.5038
U = 26	5773 14.8645	5864 15.1980	11637 15.0326

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LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1630	1  0.0815	0	0
13	119  9.6985	96  7.8240	108  8.8020	82  6.6830
14	585 47.6773	552 44.9878	588 47.9218	563 45.8843
15	437 35.6153	480 39.1198	443 36.1043	479 39.0383
16	79  6.4385	93  7.5795	83  6.7645	98  7.9870
17	4  0.3260	4  0.3260	4  0.3260	4  0.3260
18	0	0	0	0
19	0	0	0	0
20	1  0.0815	1  0.0815	1  0.0815	1  0.0815
U = 9	1227 14.3993	1227 14.4776	1227 14.4230	1227 14.4980

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1619	2  0.1619	0	0
13	15  1.2146	13  1.0526	13  1.0526	9  0.7287
14	178 14.4130	146 11.8219	180 14.5749	149 12.0648
15	609 49.3117	605 48.9879	609 49.3117	608 49.2308
16	370 29.9595	400 32.3887	371 30.0405	399 32.3077
17	57  4.6154	65  5.2632	58  4.6964	66  5.3441
18	4  0.3239	4  0.3239	4  0.3239	4  0.3239
U = 7	1235 15.2283	1235 15.2947	1235 15.2372	1235 15.3045

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	3  0.0966	3  0.0966	0	0
13	18  0.5795	16  0.5151	5  0.1610	3  0.0966
14	118  3.7991	102  3.2840	90  2.8976	69  2.2215
15	663 21.3458	616 19.8326	647 20.8307	605 19.4784
16	1297 41.7579	1294 41.6613	1340 43.1423	1325 42.6594
17	792 25.4990	837 26.9478	802 25.8210	860 27.6883
18	185  5.9562	204  6.5679	189  6.0850	210  6.7611
19	26  0.8371	29  0.9337	30  0.9659	29  0.9337
20	3  0.0966	4  0.1288	2  0.0644	4  0.1288
21	0	0	0	0
22	1  0.0322	1  0.0322	1  0.0322	1  0.0322
U = 11	3106 16.0943	3106 16.1526	3106 16.1423	3106 16.2051

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0365	1  0.0365	0	0
11	0	0	0	0
12	0	0	0	0
13	4  0.1461	3  0.1096	1  0.0365	1  0.0365
14	17  0.6211	14  0.5115	8  0.2923	6  0.2192
15	139  5.0786	119  4.3478	125  4.5670	106  3.8729
16	598 21.8487	570 20.8257	596 21.7757	554 20.2411
17	1084 39.6054	1089 39.7881	1099 40.1535	1112 40.6284
18	688 25.1370	716 26.1600	702 25.6485	728 26.5985
19	186  6.7958	203  7.4169	185  6.7592	207  7.5630
20	20  0.7307	22  0.8038	21  0.7673	23  0.8403
U = 11	2737 17.0621	2737 17.1166	2737 17.0954	2737 17.1545

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	12  0.6764	10  0.5637	9  0.5073	8  0.4510
16	130  7.3281	119  6.7080	117  6.5953	107  6.0316
17	434 24.4645	420 23.6753	425 23.9572	405 22.8298
18	660 37.2041	659 37.1477	664 37.4295	663 37.3732
19	374 21.0823	385 21.7024	390 21.9842	403 22.7170
20	132  7.4408	145  8.1736	133  7.4972	151  8.5118
21	30  1.6911	32  1.8038	33  1.8602	31  1.7475
22	1  0.0564	3  0.1691	2  0.1127	5  0.2818
23	1  0.0564	1  0.0564	1  0.0564	1  0.0564
U = 9	1774 18.0039	1774 18.0564	1774 18.0462	1774 18.1015

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
16	13  1.2573	10  0.9671	13  1.2573	10  0.9671
17	131 12.6692	127 12.2824	111 10.7350	108 10.4449
18	284 27.4662	276 26.6925	293 28.3366	279 26.9826
19	334 32.3017	333 32.2050	329 31.8182	337 32.5919
20	208 20.1161	220 21.2766	220 21.2766	229 22.1470
21	57  5.5126	58  5.6093	60  5.8027	61  5.8994
22	6  0.5803	9  0.8704	7  0.6770	9  0.8704
23	1  0.0967	1  0.0967	1  0.0967	1  0.0967
U = 8	1034 18.7669	1034 18.8133	1034 18.8172	1034 18.8617

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	15  4.0541	15  4.0541	10  2.7027	10  2.7027
18	72 19.4595	70 18.9189	66 17.8378	65 17.5676
19	100 27.0270	98 26.4865	106 28.6486	103 27.8378
20	113 30.5405	109 29.4595	114 30.8108	110 29.7297
21	51 13.7838	54 14.5946	52 14.0541	56 15.1351
22	16  4.3243	19  5.1351	19  5.1351	20  5.4054
23	3  0.8108	5  1.3514	3  0.8108	6  1.6216
U = 7	370 19.4676	370 19.5243	370 19.5432	370 19.5973

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	1  0.8197	0	0	0
18	12  9.8361	12  9.8361	10  8.1967	10  8.1967
19	25 20.4918	25 20.4918	26 21.3115	25 20.4918
20	39 31.9672	40 32.7869	41 33.6066	41 33.6066
21	26 21.3115	24 19.6721	26 21.3115	24 19.6721
22	16 13.1148	17 13.9344	15 12.2951	17 13.9344
23	3  2.4590	4  3.2787	3  2.4590	4  3.2787
24	0	0	1  0.8197	1  0.8197
U = 8	122 20.1230	122 20.1721	122 20.1885	122 20.2377

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LoTT 22 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
18	1  3.7037	1  3.7037	1  3.7037	1  3.7037
19	5 18.5185	5 18.5185	5 18.5185	5 18.5185
20	6 22.2222	6 22.2222	6 22.2222	5 18.5185
21	7 25.9259	7 25.9259	6 22.2222	7 25.9259
22	3 11.1111	3 11.1111	4 14.8148	4 14.8148
23	3 11.1111	3 11.1111	3 11.1111	3 11.1111
24	2  7.4074	1  3.7037	2  7.4074	1  3.7037
25	0	1  3.7037	0	1  3.7037
U = 8	27 20.8519	27 20.8889	27 20.8889	27 20.9630

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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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© 2020 Richard Pavlicek