Main   Stats 8H30 by Richard Pavlicek  

IMP Matches thru 12-10-18

Double-dummy stats for 10,080 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	190  1.8849	189  1.8750	138  1.3690	141  1.3988	9913593383  1.5612
1	398  3.9484	390  3.8690	380  3.7698	386  3.8294	23145762677  3.6449
2	606  6.0119	622  6.1706	558  5.5357	552  5.4762	37977932067  5.9806
3	828  8.2143	834  8.2738	853  8.4623	842  8.3532	52871069846  8.3260
4	1098 10.8929	1100 10.9127	1038 10.2976	1043 10.3472	67524194742 10.6335
5	1232 12.2222	1214 12.0437	1289 12.7877	1287 12.7679	80101714628 12.6142
6	1429 14.1766	1410 13.9881	1479 14.6726	1489 14.7718	90730441332 14.2880
7	1323 13.1250	1322 13.1151	1292 12.8175	1304 12.9365	84402158672 13.2914
8	1136 11.2698	1162 11.5278	1118 11.0913	1107 10.9821	71237104568 11.2182
9	785  7.7877	771  7.6488	779  7.7282	782  7.7579	47702049563  7.5120
10	512  5.0794	524  5.1984	516  5.1190	506  5.0198	32569065440  5.1289
11	298  2.9563	294  2.9167	331  3.2837	340  3.3730	20600866092  3.2442
12	182  1.8056	186  1.8452	221  2.1925	213  2.1131	11865157167  1.8685
13	63  0.6250	62  0.6151	88  0.8730	88  0.8730	4372449423  0.6886
U = 14	10080  5.9559	10080  5.9590	10080  6.0637	10080  6.0594	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	111  1.1012	112  1.1111	90  0.8929	90  0.8929	6949893015  1.0944
1	291  2.8869	287  2.8472	304  3.0159	309  3.0655	17646817412  2.7790
2	556  5.5159	548  5.4365	470  4.6627	460  4.5635	32992452829  5.1956
3	780  7.7381	785  7.7877	797  7.9067	817  8.1052	50476652542  7.9489
4	1055 10.4663	1066 10.5754	1079 10.7044	1073 10.6448	66372975438 10.4522
5	1202 11.9246	1209 11.9940	1294 12.8373	1281 12.7083	77821925315 12.2552
6	1292 12.8175	1278 12.6786	1308 12.9762	1314 13.0357	82551854345 13.0000
7	1328 13.1746	1315 13.0456	1231 12.2123	1232 12.2222	80760822737 12.7180
8	1187 11.7758	1200 11.9048	1135 11.2599	1141 11.3194	73465633954 11.5691
9	945  9.3750	939  9.3155	966  9.5833	966  9.5833	60489162482  9.5256
10	704  6.9841	709  7.0337	704  6.9841	687  6.8155	43661750688  6.8757
11	387  3.8393	395  3.9187	440  4.3651	456  4.5238	26377787548  4.1539
12	201  1.9940	198  1.9643	212  2.1032	200  1.9841	12128527136  1.9100
13	41  0.4067	39  0.3869	50  0.4960	54  0.5357	3317304159  0.5224
U = 14	10080  6.2762	10080  6.2787	10080  6.3228	10080  6.3189	635013559600  6.2957

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Heart make = sm

Value	North	South	West	East	Empirical
0	122  1.2103	121  1.2004	107  1.0615	105  1.0417	6949893015  1.0944
1	306  3.0357	308  3.0556	289  2.8671	288  2.8571	17646817412  2.7790
2	566  5.6151	567  5.6250	522  5.1786	521  5.1687	32992452829  5.1956
3	811  8.0456	811  8.0456	779  7.7282	782  7.7579	50476652542  7.9489
4	1053 10.4464	1051 10.4266	1040 10.3175	1044 10.3571	66372975438 10.4522
5	1229 12.1925	1238 12.2817	1230 12.2024	1225 12.1528	77821925315 12.2552
6	1318 13.0754	1298 12.8770	1258 12.4802	1250 12.4008	82551854345 13.0000
7	1236 12.2619	1238 12.2817	1283 12.7282	1313 13.0258	80760822737 12.7180
8	1141 11.3194	1157 11.4782	1152 11.4286	1131 11.2202	73465633954 11.5691
9	929  9.2163	920  9.1270	987  9.7917	997  9.8909	60489162482  9.5256
10	703  6.9742	704  6.9841	706  7.0040	696  6.9048	43661750688  6.8757
11	421  4.1766	426  4.2262	449  4.4544	455  4.5139	26377787548  4.1539
12	191  1.8948	187  1.8552	213  2.1131	208  2.0635	12128527136  1.9100
13	54  0.5357	54  0.5357	65  0.6448	65  0.6448	3317304159  0.5224
U = 14	10080  6.2433	10080  6.2432	10080  6.3500	10080  6.3487	635013559600  6.2957

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Diamond make = sm

Value	North	South	West	East	Empirical
0	128  1.2698	129  1.2798	93  0.9226	95  0.9425	6949893015  1.0944
1	286  2.8373	286  2.8373	297  2.9464	285  2.8274	17646817412  2.7790
2	524  5.1984	526  5.2183	481  4.7718	481  4.7718	32992452829  5.1956
3	849  8.4226	845  8.3829	749  7.4306	756  7.5000	50476652542  7.9489
4	1041 10.3274	1039 10.3075	1065 10.5655	1070 10.6151	66372975438 10.4522
5	1149 11.3988	1159 11.4980	1337 13.2639	1334 13.2341	77821925315 12.2552
6	1351 13.4028	1345 13.3433	1278 12.6786	1273 12.6290	82551854345 13.0000
7	1285 12.7480	1269 12.5893	1289 12.7877	1300 12.8968	80760822737 12.7180
8	1250 12.4008	1247 12.3710	1118 11.0913	1115 11.0615	73465633954 11.5691
9	954  9.4643	967  9.5933	975  9.6726	962  9.5437	60489162482  9.5256
10	615  6.1012	615  6.1012	713  7.0734	722  7.1627	43661750688  6.8757
11	407  4.0377	409  4.0575	411  4.0774	414  4.1071	26377787548  4.1539
12	201  1.9940	205  2.0337	213  2.1131	213  2.1131	12128527136  1.9100
13	40  0.3968	39  0.3869	61  0.6052	60  0.5952	3317304159  0.5224
U = 14	10080  6.2536	10080  6.2571	10080  6.3354	10080  6.3384	635013559600  6.2957

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Club make = sm

Value	North	South	West	East	Empirical
0	133  1.3194	135  1.3393	106  1.0516	105  1.0417	6949893015  1.0944
1	293  2.9067	282  2.7976	278  2.7579	279  2.7679	17646817412  2.7790
2	520  5.1587	527  5.2282	487  4.8313	486  4.8214	32992452829  5.1956
3	755  7.4901	772  7.6587	796  7.8968	812  8.0556	50476652542  7.9489
4	1069 10.6052	1066 10.5754	1063 10.5456	1048 10.3968	66372975438 10.4522
5	1359 13.4821	1361 13.5020	1179 11.6964	1158 11.4881	77821925315 12.2552
6	1284 12.7381	1267 12.5694	1282 12.7183	1308 12.9762	82551854345 13.0000
7	1279 12.6885	1271 12.6091	1299 12.8869	1297 12.8671	80760822737 12.7180
8	1112 11.0317	1124 11.1508	1258 12.4802	1269 12.5893	73465633954 11.5691
9	941  9.3353	940  9.3254	973  9.6528	968  9.6032	60489162482  9.5256
10	704  6.9841	697  6.9147	648  6.4286	653  6.4782	43661750688  6.8757
11	389  3.8591	398  3.9484	414  4.1071	405  4.0179	26377787548  4.1539
12	191  1.8948	190  1.8849	223  2.2123	218  2.1627	12128527136  1.9100
13	51  0.5060	50  0.4960	74  0.7341	74  0.7341	3317304159  0.5224
U = 14	10080  6.2465	10080  6.2450	10080  6.3557	10080  6.3515	635013559600  6.2957

Top     Main

Longest fit = lf

Value	North	South	West	East	Theoretical
7	1594 15.8135	1594 15.8135	1592 15.7937	1592 15.7937	13006498437504 15.7363
8	4590 45.5357	4590 45.5357	4599 45.6250	4599 45.6250	37809373653909 45.7447
9	2864 28.4127	2864 28.4127	2904 28.8095	2904 28.8095	23225440992325 28.0999
10	879  8.7202	879  8.7202	817  8.1052	817  8.1052	7168401039800  8.6729
11	140  1.3889	140  1.3889	149  1.4782	149  1.4782	1307227435020  1.5816
12	13  0.1290	13  0.1290	19  0.1885	19  0.1885	130732315831  0.1582
13	0	0	0	0	5414950295  0.0066
U = 7	10080  8.3472	10080  8.3472	10080  8.3441	10080  8.3441	82653088824684  8.3512

Top     Main

Longest fit make = lm

Value	North	South	West	East	Empirical
0	0	0	1  0.0099	1  0.0099	22876394  0.0036
1	4  0.0397	5  0.0496	4  0.0397	5  0.0496	251246691  0.0396
2	27  0.2679	24  0.2381	26  0.2579	26  0.2579	1556124656  0.2451
3	104  1.0317	106  1.0516	74  0.7341	76  0.7540	5892722789  0.9280
4	260  2.5794	265  2.6290	256  2.5397	254  2.5198	16409883547  2.5842
5	585  5.8036	587  5.8234	610  6.0516	604  5.9921	35643298455  5.6130
6	980  9.7222	976  9.6825	959  9.5139	962  9.5437	62031256233  9.7685
7	1441 14.2956	1444 14.3254	1408 13.9683	1428 14.1667	89999744190 14.1729
8	1792 17.7778	1788 17.7381	1718 17.0437	1711 16.9742	110099842849 17.3382
9	1774 17.5992	1760 17.4603	1789 17.7480	1776 17.6190	113173167471 17.8222
10	1517 15.0496	1535 15.2282	1498 14.8611	1503 14.9107	95919764225 15.1052
11	969  9.6131	966  9.5833	1024 10.1587	1028 10.1984	64150449024 10.1022
12	501  4.9702	496  4.9206	545  5.4067	537  5.3274	31112561346  4.8995
13	126  1.2500	128  1.2698	168  1.6667	169  1.6766	8750621730  1.3780
U = 14	10080  8.3416	10080  8.3399	10080  8.4102	10080  8.4067	635013559600  8.3753

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Best fit = bf

Value	North	South	West	East	Empirical
5	0	0	2  0.0198	2  0.0198	10461673  0.0016
6	17  0.1687	14  0.1389	13  0.1290	16  0.1587	1222077835  0.1924
7	1692 16.7857	1692 16.7857	1671 16.5774	1668 16.5476	105351212255 16.5904
8	4538 45.0198	4543 45.0694	4573 45.3671	4573 45.3671	287234089436 45.2327
9	2809 27.8671	2809 27.8671	2846 28.2341	2846 28.2341	175437245133 27.6273
10	872  8.6508	870  8.6310	809  8.0258	808  8.0159	54701014789  8.6141
11	139  1.3790	139  1.3790	147  1.4583	148  1.4683	10008187498  1.5761
12	13  0.1290	13  0.1290	19  0.1885	19  0.1885	1006364496  0.1585
13	0	0	0	0	42906485  0.0068
U = 9	10080  8.3270	10080  8.3272	10080  8.3252	10080  8.3250	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  0.0198	2  0.0198	3  0.0298	3  0.0298	132231913  0.0208
2	24  0.2381	22  0.2183	21  0.2083	21  0.2083	1339624042  0.2110
3	101  1.0020	103  1.0218	72  0.7143	76  0.7540	5671089748  0.8931
4	256  2.5397	259  2.5694	254  2.5198	247  2.4504	16177592015  2.5476
5	571  5.6647	576  5.7143	609  6.0417	606  6.0119	35415185536  5.5771
6	982  9.7421	979  9.7123	943  9.3552	949  9.4147	61775936908  9.7283
7	1436 14.2460	1441 14.2956	1404 13.9286	1424 14.1270	89711329037 14.1275
8	1790 17.7579	1780 17.6587	1720 17.0635	1712 16.9841	109962826727 17.3166
9	1785 17.7083	1770 17.5595	1793 17.7877	1775 17.6091	113305081446 17.8429
10	1517 15.0496	1534 15.2183	1505 14.9306	1514 15.0198	96187452851 15.1473
11	970  9.6230	973  9.6528	1025 10.1687	1030 10.2183	64547826059 10.1648
12	518  5.1389	511  5.0694	561  5.5655	552  5.4762	31646530587  4.9836
13	128  1.2698	130  1.2897	170  1.6865	171  1.6964	9139338741  1.4392
U = 14	10080  8.3612	10080  8.3598	10080  8.4298	10080  8.4267	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  0.0099	1  0.0099	11612306  0.0018
3  1	0	0	0	0	25874094  0.0041
4  1	1  0.0099	1  0.0099	1  0.0099	1  0.0099	53231899  0.0084
5 N 1	1  0.0099	1  0.0099	1  0.0099	1  0.0099	36956503  0.0058
6  2	2  0.0198	2  0.0198	3  0.0298	3  0.0298	120316810  0.0189
7  2	2  0.0198	2  0.0198	6  0.0595	6  0.0595	198635528  0.0313
8  2	8  0.0794	8  0.0794	6  0.0595	6  0.0595	326628269  0.0514
9  2	9  0.0893	8  0.0794	5  0.0496	5  0.0496	500918833  0.0789
10 N 2	3  0.0298	2  0.0198	1  0.0099	1  0.0099	185145875  0.0292
11  3	9  0.0893	8  0.0794	7  0.0694	8  0.0794	708986520  0.1116
12  3	26  0.2579	29  0.2877	16  0.1587	17  0.1687	998658286  0.1573
13  3	25  0.2480	24  0.2381	18  0.1786	19  0.1885	1395338886  0.2197
14  3	31  0.3075	33  0.3274	23  0.2282	23  0.2282	1910125869  0.3008
15 N 3	9  0.0893	8  0.0794	8  0.0794	9  0.0893	600509115  0.0946
16  4	44  0.4365	44  0.4365	35  0.3472	34  0.3373	2289229042  0.3605
17  4	40  0.3968	38  0.3770	49  0.4861	49  0.4861	2994612265  0.4716
18  4	57  0.5655	57  0.5655	55  0.5456	53  0.5258	3903975403  0.6148
19  4	87  0.8631	92  0.9127	85  0.8433	81  0.8036	5081012026  0.8001
20 N 4	25  0.2480	26  0.2579	23  0.2282	26  0.2579	1713322270  0.2698
21  5	108  1.0714	110  1.0913	84  0.8333	83  0.8234	5390835002  0.8489
22  5	117  1.1607	120  1.1905	127  1.2599	127  1.2599	6765583620  1.0654
23  5	145  1.4385	142  1.4087	136  1.3492	137  1.3591	8498769442  1.3384
24  5	145  1.4385	148  1.4683	182  1.8056	182  1.8056	10602398413  1.6696
25 N 5	50  0.4960	49  0.4861	81  0.8036	74  0.7341	3790350430  0.5969
26  6	163  1.6171	163  1.6171	138  1.3690	146  1.4484	9966643603  1.5695
27  6	200  1.9841	203  2.0139	168  1.6667	173  1.7163	12109712021  1.9070
28  6	225  2.2321	222  2.2024	247  2.4504	245  2.4306	14729112069  2.3195
29  6	280  2.7778	281  2.7877	285  2.8274	284  2.8175	17910202521  2.8204
30 N 6	103  1.0218	95  0.9425	98  0.9722	94  0.9325	6534760658  1.0291
31  7	242  2.4008	240  2.3810	239  2.3710	239  2.3710	15075437352  2.3740
32  7	310  3.0754	303  3.0060	287  2.8472	288  2.8571	17958650211  2.8281
33  7	321  3.1845	324  3.2143	343  3.4028	346  3.4325	21361994439  3.3640
34  7	405  4.0179	419  4.1567	393  3.8988	401  3.9782	25528480621  4.0201
35 N 7	150  1.4881	153  1.5179	131  1.2996	137  1.3591	9154206125  1.4416
36  8	279  2.7679	276  2.7381	324  3.2143	326  3.2341	18791511418  2.9592
37  8	365  3.6210	371  3.6806	313  3.1052	309  3.0655	22088800625  3.4785
38  8	437  4.3353	436  4.3254	410  4.0675	402  3.9881	26002102208  4.0947
39  8	503  4.9901	484  4.8016	472  4.6825	477  4.7321	30496109913  4.8024
40 N 8	204  2.0238	211  2.0933	182  1.8056	185  1.8353	12173466153  1.9170
41  9	333  3.3036	334  3.3135	290  2.8770	284  2.8175	19155398988  3.0165
42  9	318  3.1548	329  3.2639	350  3.4722	344  3.4127	22679953280  3.5716
43  9	417  4.1369	398  3.9484	441  4.3750	438  4.3452	26645003052  4.1960
44  9	485  4.8115	488  4.8413	495  4.9107	485  4.8115	31116921638  4.9002
45 N 9	224  2.2222	215  2.1329	232  2.3016	234  2.3214	13776418529  2.1695
46  10	262  2.5992	268  2.6587	240  2.3810	234  2.3214	15678126613  2.4689
47  10	253  2.5099	257  2.5496	311  3.0853	323  3.2044	18845651711  2.9678
48  10	352  3.4921	347  3.4425	354  3.5119	359  3.5615	22346330376  3.5190
49  10	448  4.4444	446  4.4246	403  3.9980	400  3.9683	26213758053  4.1281
50 N 10	218  2.1627	230  2.2817	204  2.0238	203  2.0139	13730953401  2.1623
51  11	133  1.3194	130  1.2897	141  1.3988	132  1.3095	9697289588  1.5271
52  11	190  1.8849	187  1.8552	172  1.7063	169  1.6766	11914043914  1.8762
53  11	222  2.2024	222  2.2024	251  2.4901	253  2.5099	14305376462  2.2528
54  11	265  2.6290	264  2.6190	282  2.7976	292  2.8968	16882127404  2.6585
55 N 11	179  1.7758	186  1.8452	194  1.9246	201  1.9940	12637216524  1.9901
56  12	57  0.5655	57  0.5655	72  0.7143	73  0.7242	4042066459  0.6365
57  12	89  0.8829	87  0.8631	84  0.8333	89  0.8829	4996576787  0.7868
58  12	96  0.9524	95  0.9425	97  0.9623	98  0.9722	6084938998  0.9582
59  12	126  1.2500	118  1.1706	123  1.2202	120  1.1905	7241748711  1.1404
60 N 12	151  1.4980	156  1.5476	186  1.8452	178  1.7659	9797000990  1.5428
61  13	18  0.1786	18  0.1786	22  0.2183	21  0.2083	950467974  0.1497
62  13	11  0.1091	13  0.1290	21  0.2083	19  0.1885	1125576093  0.1773
63  13	21  0.2083	22  0.2183	23  0.2282	24  0.2381	1297292873  0.2043
64  13	18  0.1786	18  0.1786	21  0.2083	21  0.2083	1491113912  0.2348
65 N 13	63  0.6250	62  0.6151	88  0.8730	88  0.8730	4372449423  0.6886
U = 66	10080 39.9218	10080 39.9126	10080 40.2776	10080 40.2663	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  0.0099	1  0.0099	9447300  0.0015
3  1	0	0	0	0	21574362  0.0034
4  1	1  0.0099	1  0.0099	1  0.0099	1  0.0099	42527988  0.0067
5 N 1	1  0.0099	0	1  0.0099	1  0.0099	26388851  0.0042
6  2	2  0.0198	1  0.0099	1  0.0099	1  0.0099	84995416  0.0134
7  2	2  0.0198	2  0.0198	3  0.0298	3  0.0298	142224249  0.0224
8  2	4  0.0397	3  0.0298	6  0.0595	6  0.0595	231292299  0.0364
9  2	6  0.0595	7  0.0694	6  0.0595	7  0.0694	363266834  0.0572
10 N 2	3  0.0298	3  0.0298	1  0.0099	1  0.0099	127432564  0.0201
11  3	4  0.0397	6  0.0595	4  0.0397	5  0.0496	493076363  0.0776
12  3	18  0.1786	19  0.1885	11  0.1091	9  0.0893	693513539  0.1092
13  3	19  0.1885	22  0.2183	12  0.1190	13  0.1290	1000823292  0.1576
14  3	27  0.2679	22  0.2183	14  0.1389	16  0.1587	1395369165  0.2197
15 N 3	5  0.0496	7  0.0694	5  0.0496	6  0.0595	517057969  0.0814
16  4	25  0.2480	26  0.2579	24  0.2381	24  0.2381	1644254032  0.2589
17  4	42  0.4167	40  0.3968	36  0.3571	34  0.3373	2174377737  0.3424
18  4	52  0.5159	48  0.4762	38  0.3770	39  0.3869	2890268054  0.4552
19  4	66  0.6548	64  0.6349	67  0.6647	63  0.6250	3825111648  0.6024
20 N 4	25  0.2480	25  0.2480	20  0.1984	22  0.2183	1603391433  0.2525
21  5	79  0.7837	82  0.8135	64  0.6349	55  0.5456	3998705776  0.6297
22  5	81  0.8036	82  0.8135	94  0.9325	88  0.8730	5059967561  0.7968
23  5	93  0.9226	97  0.9623	99  0.9821	93  0.9226	6444920473  1.0149
24  5	124  1.2302	127  1.2599	140  1.3889	136  1.3492	8171172220  1.2868
25 N 5	67  0.6647	68  0.6746	74  0.7341	74  0.7341	3680646693  0.5796
26  6	136  1.3492	130  1.2897	116  1.1508	116  1.1508	7757580348  1.2216
27  6	160  1.5873	157  1.5575	139  1.3790	140  1.3889	9525027771  1.5000
28  6	204  2.0238	208  2.0635	188  1.8651	195  1.9345	11764658491  1.8527
29  6	221  2.1925	216  2.1429	243  2.4107	246  2.4405	14509280677  2.2849
30 N 6	103  1.0218	107  1.0615	82  0.8135	84  0.8333	6740920718  1.0615
31  7	183  1.8155	193  1.9147	188  1.8651	195  1.9345	12379732192  1.9495
32  7	234  2.3214	229  2.2718	224  2.2222	233  2.3115	14970987161  2.3576
33  7	261  2.5893	258  2.5595	299  2.9663	307  3.0456	18071185110  2.8458
34  7	340  3.3730	348  3.4524	349  3.4623	353  3.5020	21830271641  3.4378
35 N 7	181  1.7956	184  1.8254	175  1.7361	167  1.6567	11424585988  1.7991
36  8	247  2.4504	242  2.4008	292  2.8968	292  2.8968	16339498138  2.5731
37  8	319  3.1647	322  3.1944	281  2.7877	279  2.7679	19709383181  3.1038
38  8	409  4.0575	398  3.9484	391  3.8790	385  3.8194	23605758352  3.7174
39  8	470  4.6627	465  4.6131	444  4.4048	445  4.4147	28085928185  4.4229
40 N 8	263  2.6091	261  2.5893	242  2.4008	243  2.4107	16270929517  2.5623
41  9	303  3.0060	289  2.8671	244  2.4206	240  2.3810	17610462720  2.7732
42  9	327  3.2440	331  3.2837	350  3.4722	348  3.4524	21330730539  3.3591
43  9	406  4.0278	408  4.0476	416  4.1270	418  4.1468	25409571822  4.0014
44  9	494  4.9008	498  4.9405	460  4.5635	459  4.5536	30048695498  4.7320
45 N 9	316  3.1349	319  3.1647	341  3.3829	344  3.4127	20125215758  3.1693
46  10	238  2.3611	243  2.4107	231  2.2917	228  2.2619	15180947336  2.3906
47  10	277  2.7480	277  2.7480	291  2.8869	281  2.7877	18360372398  2.8913
48  10	332  3.2937	327  3.2440	360  3.5714	364  3.6111	21797024413  3.4325
49  10	397  3.9385	415  4.1171	379  3.7599	373  3.7004	25500986557  4.0158
50 N 10	378  3.7500	380  3.7698	347  3.4425	355  3.5218	22971290435  3.6174
51  11	154  1.5278	159  1.5774	153  1.5179	160  1.5873	10149896990  1.5984
52  11	178  1.7659	180  1.7857	193  1.9147	192  1.9048	12077115810  1.9019
53  11	225  2.2321	226  2.2421	239  2.3710	233  2.3115	14119413033  2.2235
54  11	234  2.3214	224  2.2222	264  2.6190	275  2.7282	16390731570  2.5812
55 N 11	341  3.3829	342  3.3929	370  3.6706	361  3.5813	22941283147  3.6127
56  12	80  0.7937	75  0.7440	82  0.8135	84  0.8333	5500720419  0.8662
57  12	101  1.0020	96  0.9524	102  1.0119	105  1.0417	6227026988  0.9806
58  12	118  1.1706	108  1.0714	120  1.1905	116  1.1508	7033151127  1.1076
59  12	139  1.3790	142  1.4087	118  1.1706	117  1.1607	7852931458  1.2367
60 N 12	292  2.8968	299  2.9663	310  3.0754	317  3.1448	17849476370  2.8109
61  13	33  0.3274	33  0.3274	44  0.4365	41  0.4067	2037906651  0.3209
62  13	35  0.3472	33  0.3274	38  0.3770	39  0.3869	2187019556  0.3444
63  13	35  0.3472	34  0.3373	36  0.3571	37  0.3671	2314542960  0.3645
64  13	32  0.3175	31  0.3075	28  0.2778	25  0.2480	2451437963  0.3860
65 N 13	138  1.3690	141  1.3988	189  1.8750	190  1.8849	9913593383  1.5612
U = 66	10080 41.8085	10080 41.8057	10080 42.1893	10080 42.2041	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	1915 18.9980	1916 19.0079	1889 18.7401	1888 18.7302	119358998783 18.7963
1 1	242  2.4008	240  2.3810	239  2.3710	239  2.3710	15075437352  2.3740
2 1	310  3.0754	303  3.0060	287  2.8472	288  2.8571	17958650211  2.8281
3 1	321  3.1845	324  3.2143	343  3.4028	346  3.4325	21361994439  3.3640
4 1	405  4.0179	419  4.1567	393  3.8988	401  3.9782	25528480621  4.0201
5 1 N	150  1.4881	153  1.5179	131  1.2996	137  1.3591	9154206126  1.4416
6 2	279  2.7679	276  2.7381	324  3.2143	326  3.2341	18791511418  2.9592
7 2	365  3.6210	371  3.6806	313  3.1052	309  3.0655	22088800625  3.4785
8 2	437  4.3353	436  4.3254	410  4.0675	402  3.9881	26002102208  4.0947
9 2	503  4.9901	484  4.8016	472  4.6825	477  4.7321	30496109913  4.8024
10 3	260  2.5794	259  2.5694	230  2.2817	229  2.2718	15168880833  2.3887
11 3	256  2.5397	257  2.5496	267  2.6488	266  2.6389	17647767441  2.7791
12 2 N	339  3.3631	358  3.5516	325  3.2242	318  3.1548	21192170146  3.3373
13 4	134  1.3294	139  1.3790	141  1.3988	139  1.3790	8352078922  1.3153
14 4	133  1.3194	139  1.3790	169  1.6766	176  1.7460	10306791805  1.6231
15 3	473  4.6925	453  4.4940	501  4.9702	495  4.9107	30412174290  4.7892
16 3	548  5.4365	543  5.3869	556  5.5159	551  5.4663	35369266210  5.5698
17 3 N	353  3.5020	352  3.4921	352  3.4921	353  3.5020	21621810315  3.4049
18 5	63  0.6250	62  0.6151	68  0.6746	68  0.6746	4918954504  0.7746
19 5	102  1.0119	104  1.0317	80  0.7937	85  0.8433	6307419874  0.9933
20 4	388  3.8492	386  3.8294	398  3.9484	397  3.9385	24619813919  3.8771
21 4	490  4.8611	485  4.8115	437  4.3353	430  4.2659	28756868129  4.5285
22 4 N	298  2.9563	303  3.0060	291  2.8869	283  2.8075	19299318906  3.0392
23 5	222  2.2024	222  2.2024	251  2.4901	253  2.5099	14305376462  2.2528
24 5	265  2.6290	264  2.6190	282  2.7976	292  2.8968	16882127404  2.6585
25 5 N	179  1.7758	186  1.8452	194  1.9246	201  1.9940	12637216524  1.9901
26 6	57  0.5655	57  0.5655	72  0.7143	73  0.7242	4042066459  0.6365
27 6	89  0.8829	87  0.8631	84  0.8333	89  0.8829	4996576787  0.7868
28 6	96  0.9524	95  0.9425	97  0.9623	98  0.9722	6084938998  0.9582
29 6	126  1.2500	118  1.1706	123  1.2202	120  1.1905	7241748711  1.1404
30 6 N	151  1.4980	156  1.5476	186  1.8452	178  1.7659	9797000990  1.5428
31 7	18  0.1786	18  0.1786	22  0.2183	21  0.2083	950467974  0.1497
32 7	11  0.1091	13  0.1290	21  0.2083	19  0.1885	1125576093  0.1773
33 7	21  0.2083	22  0.2183	23  0.2282	24  0.2381	1297292873  0.2043
34 7	18  0.1786	18  0.1786	21  0.2083	21  0.2083	1491113912  0.2348
35 7 N	63  0.6250	62  0.6151	88  0.8730	88  0.8730	4372449423  0.6886
U = 36	10080 11.3289	10080 11.3213	10080 11.6118	10080 11.5984	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	19  0.3807	7  0.1376	26  0.2579
3 90	157  3.1457	136  2.6724	293  2.9067
4 100	803 16.0890	776 15.2486	1579 15.6647
5 110	208  4.1675	216  4.2444	424  4.2063
6 120	209  4.1875	203  3.9890	412  4.0873
7 130	190  3.8069	196  3.8514	386  3.8294
8 140	526 10.5390	600 11.7901	1126 11.1706
10 300	261  5.2294	262  5.1484	523  5.1885
11 400	426  8.5354	389  7.6439	815  8.0853
12 420	594 11.9014	563 11.0631	1157 11.4782
13 430	299  5.9908	294  5.7772	593  5.8829
14 450	438  8.7758	487  9.5697	925  9.1766
15 460	196  3.9271	207  4.0676	403  3.9980
16 500	23  0.4608	24  0.4716	47  0.4663
22 800	50  1.0018	48  0.9432	98  0.9722
23 920	110  2.2040	122  2.3973	232  2.3016
24 980	188  3.7668	192  3.7728	380  3.7698
25 990	162  3.2458	196  3.8514	358  3.5516
26 1100	4  0.0801	8  0.1572	12  0.1190
28 1400	6  0.1202	8  0.1572	14  0.1389
30 1440	22  0.4408	29  0.5699	51  0.5060
31 1510	37  0.7413	38  0.7467	75  0.7440
32 1520	63  1.2623	88  1.7292	151  1.4980
U = 25	4991 11.1382	5089 11.4848	10080 11.3132

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	19  0.3807	7  0.1376	26  0.2579
3 90	157  3.1457	136  2.6724	293  2.9067
4 100	803 16.0890	0	803  7.9663
5 110	208  4.1675	508  9.9823	716  7.1032
6 120	209  4.1875	269  5.2859	478  4.7421
7 130	190  3.8069	253  4.9715	443  4.3948
8 140	526 10.5390	826 16.2311	1352 13.4127
9 200	0	135  2.6528	135  1.3393
10 300	261  5.2294	0	261  2.5893
11 400	0	460  9.0391	460  4.5635
12 420	0	698 13.7159	698  6.9246
13 430	0	309  6.0719	309  3.0655
14 450	0	521 10.2378	521  5.1687
15 460	0	208  4.0872	208  2.0635
16 500	445  8.9160	6  0.1179	451  4.4742
17 600	304  6.0910	0	304  3.0159
18 620	389  7.7940	0	389  3.8591
19 630	265  5.3096	0	265  2.6290
20 650	380  7.6137	0	380  3.7698
21 660	193  3.8670	0	193  1.9147
22 800	50  1.0018	24  0.4716	74  0.7341
23 920	0	147  2.8886	147  1.4583
24 980	0	209  4.1069	209  2.0734
25 990	0	199  3.9104	199  1.9742
26 1100	77  1.5428	3  0.0590	80  0.7937
27 1370	84  1.6830	0	84  0.8333
28 1400	74  1.4827	8  0.1572	82  0.8135
29 1430	93  1.8634	0	93  0.9226
30 1440	142  2.8451	33  0.6485	175  1.7361
31 1510	0	42  0.8253	42  0.4167
32 1520	0	88  1.7292	88  0.8730
33 1700	8  0.1603	0	8  0.0794
34 2000	7  0.1403	0	7  0.0694
35 2140	14  0.2805	0	14  0.1389
36 2210	30  0.6011	0	30  0.2976
37 2220	63  1.2623	0	63  0.6250
U = 38	4991 13.8135	5089 12.0737	10080 12.9351

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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	19  0.3807	7  0.1376	26  0.2579
3 90	157  3.1457	136  2.6724	293  2.9067
4 100	0	776 15.2486	776  7.6984
5 110	532 10.6592	216  4.2444	748  7.4206
6 120	297  5.9507	203  3.9890	500  4.9603
7 130	227  4.5482	196  3.8514	423  4.1964
8 140	751 15.0471	600 11.7901	1351 13.4028
9 200	129  2.5847	0	129  1.2798
10 300	0	262  5.1484	262  2.5992
11 400	489  9.7976	0	489  4.8512
12 420	743 14.8868	0	743  7.3710
13 430	313  6.2713	0	313  3.1052
14 450	467  9.3568	0	467  4.6329
15 460	196  3.9271	0	196  1.9444
16 500	6  0.1202	449  8.8230	455  4.5139
17 600	0	261  5.1287	261  2.5893
18 620	0	375  7.3688	375  3.7202
19 630	0	267  5.2466	267  2.6488
20 650	0	412  8.0959	412  4.0873
21 660	0	200  3.9300	200  1.9841
22 800	23  0.4608	48  0.9432	71  0.7044
23 920	136  2.7249	0	136  1.3492
24 980	208  4.1675	0	208  2.0635
25 990	165  3.3060	0	165  1.6369
26 1100	1  0.0200	81  1.5917	82  0.8135
27 1370	0	99  1.9454	99  0.9821
28 1400	4  0.0801	71  1.3952	75  0.7440
29 1430	0	109  2.1419	109  1.0813
30 1440	27  0.5410	166  3.2619	193  1.9147
31 1510	38  0.7614	0	38  0.3770
32 1520	63  1.2623	0	63  0.6250
33 1700	0	11  0.2162	11  0.1091
34 2000	0	7  0.1376	7  0.0694
35 2140	0	14  0.2751	14  0.1389
36 2210	0	35  0.6878	35  0.3472
37 2220	0	88  1.7292	88  0.8730
U = 38	4991 11.7291	5089 14.1621	10080 12.9574

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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	19  0.3807	7  0.1376	26  0.2579
3 90	157  3.1457	136  2.6724	293  2.9067
5 110	532 10.6592	508  9.9823	1040 10.3175
6 120	297  5.9507	269  5.2859	566  5.6151
7 130	227  4.5482	253  4.9715	480  4.7619
8 140	751 15.0471	826 16.2311	1577 15.6448
9 200	129  2.5847	135  2.6528	264  2.6190
16 500	261  5.2294	262  5.1484	523  5.1885
17 600	426  8.5354	389  7.6439	815  8.0853
18 620	594 11.9014	563 11.0631	1157 11.4782
19 630	299  5.9908	294  5.7772	593  5.8829
20 650	438  8.7758	487  9.5697	925  9.1766
21 660	196  3.9271	207  4.0676	403  3.9980
22 800	23  0.4608	24  0.4716	47  0.4663
26 1100	50  1.0018	48  0.9432	98  0.9722
27 1370	110  2.2040	122  2.3973	232  2.3016
28 1400	51  1.0218	58  1.1397	109  1.0813
29 1430	146  2.9253	153  3.0065	299  2.9663
30 1440	157  3.1457	185  3.6353	342  3.3929
33 1700	6  0.1202	8  0.1572	14  0.1389
34 2000	8  0.1603	11  0.2162	19  0.1885
35 2140	17  0.3406	19  0.3734	36  0.3571
36 2210	34  0.6812	37  0.7271	71  0.7044
37 2220	63  1.2623	88  1.7292	151  1.4980
U = 26	4991 14.8555	5089 15.2002	10080 15.0296

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LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	1  0.0943	0	0	0
13	107 10.0848	85  8.0113	96  9.0481	71  6.6918
14	510 48.0679	484 45.6173	515 48.5391	495 46.6541
15	370 34.8728	407 38.3600	373 35.1555	405 38.1715
16	69  6.5033	81  7.6343	73  6.8803	86  8.1056
17	3  0.2828	3  0.2828	3  0.2828	3  0.2828
18	0	0	0	0
19	0	0	0	0
20	1  0.0943	1  0.0943	1  0.0943	1  0.0943
U = 9	1061 14.3902	1061 14.4703	1061 14.4128	1061 14.4910

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1880	2  0.1880	0	0
13	12  1.1278	10  0.9398	10  0.9398	6  0.5639
14	154 14.4737	126 11.8421	159 14.9436	131 12.3120
15	514 48.3083	513 48.2143	512 48.1203	514 48.3083
16	329 30.9211	352 33.0827	329 30.9211	351 32.9887
17	49  4.6053	57  5.3571	50  4.6992	58  5.4511
18	4  0.3759	4  0.3759	4  0.3759	4  0.3759
U = 7	1064 15.2397	1064 15.3064	1064 15.2462	1064 15.3158

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	3  0.1121	3  0.1121	0	0
13	15  0.5605	13  0.4858	4  0.1495	2  0.0747
14	100  3.7369	85  3.1764	79  2.9522	59  2.2048
15	572 21.3752	534 19.9552	559 20.8894	524 19.5815
16	1131 42.2646	1126 42.0777	1168 43.6472	1153 43.0867
17	670 25.0374	708 26.4574	676 25.2616	726 27.1300
18	159  5.9417	178  6.6517	162  6.0538	183  6.8386
19	23  0.8595	26  0.9716	26  0.9716	26  0.9716
20	2  0.0747	2  0.0747	1  0.0374	2  0.0747
21	0	0	0	0
22	1  0.0374	1  0.0374	1  0.0374	1  0.0374
U = 11	2676 16.0904	2676 16.1499	2676 16.1342	2676 16.2003

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0420	1  0.0420	0	0
11	0	0	0	0
12	0	0	0	0
13	4  0.1681	3  0.1261	1  0.0420	1  0.0420
14	14  0.5885	13  0.5464	7  0.2942	6  0.2522
15	118  4.9601	105  4.4136	107  4.4977	93  3.9092
16	511 21.4796	482 20.2606	514 21.6057	474 19.9243
17	934 39.2602	933 39.2182	942 39.5965	949 39.8907
18	610 25.6410	637 26.7760	622 26.1454	647 27.1963
19	167  7.0198	184  7.7343	165  6.9357	187  7.8604
20	20  0.8407	21  0.8827	21  0.8827	22  0.9248
U = 11	2379 17.0807	2379 17.1337	2379 17.1101	2379 17.1702

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	11  0.7092	9  0.5803	8  0.5158	7  0.4513
16	103  6.6409	94  6.0606	93  5.9961	84  5.4159
17	378 24.3714	368 23.7266	364 23.4687	352 22.6950
18	578 37.2663	575 37.0729	587 37.8466	580 37.3952
19	333 21.4700	340 21.9213	348 22.4371	358 23.0819
20	118  7.6080	132  8.5106	118  7.6080	136  8.7685
21	28  1.8053	29  1.8698	30  1.9342	28  1.8053
22	1  0.0645	3  0.1934	2  0.1289	5  0.3224
23	1  0.0645	1  0.0645	1  0.0645	1  0.0645
U = 9	1551 18.0290	1551 18.0806	1551 18.0729	1551 18.1277

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
16	12  1.3468	10  1.1223	13  1.4590	10  1.1223
17	112 12.5701	107 12.0090	93 10.4377	90 10.1010
18	250 28.0584	242 27.1605	258 28.9562	244 27.3850
19	284 31.8743	284 31.8743	278 31.2009	287 32.2110
20	179 20.0898	190 21.3244	191 21.4366	199 22.3345
21	48  5.3872	49  5.4994	51  5.7239	52  5.8361
22	5  0.5612	8  0.8979	6  0.6734	8  0.8979
23	1  0.1122	1  0.1122	1  0.1122	1  0.1122
U = 8	891 18.7576	891 18.8092	891 18.8114	891 18.8620

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	14  4.3750	14  4.3750	9  2.8125	9  2.8125
18	57 17.8125	55 17.1875	52 16.2500	51 15.9375
19	92 28.7500	91 28.4375	97 30.3125	95 29.6875
20	96 30.0000	92 28.7500	98 30.6250	93 29.0625
21	43 13.4375	46 14.3750	44 13.7500	49 15.3125
22	15  4.6875	17  5.3125	17  5.3125	17  5.3125
23	3  0.9375	5  1.5625	3  0.9375	6  1.8750
U = 7	320 19.4813	320 19.5375	320 19.5594	320 19.6156

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	1  0.9009	0	0	0
18	10  9.0090	10  9.0090	8  7.2072	8  7.2072
19	22 19.8198	22 19.8198	23 20.7207	22 19.8198
20	37 33.3333	38 34.2342	39 35.1351	39 35.1351
21	25 22.5225	23 20.7207	25 22.5225	23 20.7207
22	14 12.6126	15 13.5135	13 11.7117	15 13.5135
23	2  1.8018	3  2.7027	2  1.8018	3  2.7027
24	0	0	1  0.9009	1  0.9009
U = 8	111 20.1261	111 20.1802	111 20.1982	111 20.2523

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LoTT 22 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
18	1  4.3478	1  4.3478	1  4.3478	1  4.3478
19	5 21.7391	5 21.7391	5 21.7391	5 21.7391
20	5 21.7391	5 21.7391	5 21.7391	4 17.3913
21	7 30.4348	7 30.4348	6 26.0870	7 30.4348
22	2  8.6957	2  8.6957	3 13.0435	3 13.0435
23	2  8.6957	2  8.6957	2  8.6957	2  8.6957
24	1  4.3478	0	1  4.3478	0
25	0	1  4.3478	0	1  4.3478
U = 8	23 20.6087	23 20.6522	23 20.6522	23 20.7391

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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 10,080 deals

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© 2018 Richard Pavlicek