Main   Stats 8H30 by Richard Pavlicek  

IMP Matches thru 6-20-18

Double-dummy stats for 9,336 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. Top     Main

Notrump make = M

Value	North	South	West	East	Empirical
0	179  1.9173	177  1.8959	129  1.3817	131  1.4032	9913593383  1.5612
1	369  3.9524	363  3.8882	342  3.6632	348  3.7275	23145762677  3.6449
2	565  6.0518	580  6.2125	511  5.4734	505  5.4092	37977932067  5.9806
3	764  8.1834	769  8.2369	783  8.3869	773  8.2798	52871069846  8.3260
4	1026 10.9897	1025 10.9790	968 10.3685	972 10.4113	67524194742 10.6335
5	1135 12.1572	1119 11.9859	1182 12.6607	1179 12.6285	80101714628 12.6142
6	1340 14.3530	1330 14.2459	1383 14.8136	1393 14.9207	90730441332 14.2880
7	1219 13.0570	1210 12.9606	1215 13.0141	1225 13.1213	84402158672 13.2914
8	1049 11.2361	1071 11.4717	1036 11.0968	1027 11.0004	71237104568 11.2182
9	727  7.7871	718  7.6907	718  7.6907	722  7.7335	47702049563  7.5120
10	478  5.1200	487  5.2164	474  5.0771	466  4.9914	32569065440  5.1289
11	266  2.8492	264  2.8278	311  3.3312	317  3.3955	20600866092  3.2442
12	161  1.7245	166  1.7781	203  2.1744	197  2.1101	11865157167  1.8685
13	58  0.6213	57  0.6105	81  0.8676	81  0.8676	4372449423  0.6886
U = 14	9336  5.9415	9336  5.9460	9336  6.0731	9336  6.0702	635013559600  6.0066

Top     Main

Spade make = sm

Value	North	South	West	East	Empirical
0	105  1.1247	106  1.1354	83  0.8890	83  0.8890	6949893015  1.0944
1	271  2.9027	268  2.8706	274  2.9349	277  2.9670	17646817412  2.7790
2	510  5.4627	500  5.3556	420  4.4987	413  4.4237	32992452829  5.1956
3	723  7.7442	729  7.8085	738  7.9049	757  8.1084	50476652542  7.9489
4	987 10.5720	997 10.6791	990 10.6041	981 10.5077	66372975438 10.4522
5	1124 12.0394	1130 12.1037	1196 12.8106	1185 12.6928	77821925315 12.2552
6	1210 12.9606	1192 12.7678	1229 13.1641	1233 13.2069	82551854345 13.0000
7	1234 13.2177	1228 13.1534	1142 12.2322	1146 12.2751	80760822737 12.7180
8	1092 11.6967	1106 11.8466	1060 11.3539	1066 11.4182	73465633954 11.5691
9	867  9.2866	859  9.2009	908  9.7258	907  9.7151	60489162482  9.5256
10	646  6.9195	650  6.9623	646  6.9195	634  6.7909	43661750688  6.8757
11	344  3.6847	349  3.7382	402  4.3059	413  4.4237	26377787548  4.1539
12	184  1.9709	184  1.9709	201  2.1530	190  2.0351	12128527136  1.9100
13	39  0.4177	38  0.4070	47  0.5034	51  0.5463	3317304159  0.5224
U = 14	9336  6.2579	9336  6.2619	9336  6.3403	9336  6.3368	635013559600  6.2957

Top     Main

Heart make = sm

Value	North	South	West	East	Empirical
0	115  1.2318	114  1.2211	100  1.0711	98  1.0497	6949893015  1.0944
1	288  3.0848	290  3.1063	257  2.7528	255  2.7314	17646817412  2.7790
2	527  5.6448	528  5.6555	476  5.0985	476  5.0985	32992452829  5.1956
3	740  7.9263	740  7.9263	717  7.6799	720  7.7121	50476652542  7.9489
4	983 10.5291	979 10.4863	958 10.2614	965 10.3363	66372975438 10.4522
5	1147 12.2858	1155 12.3715	1141 12.2215	1135 12.1572	77821925315 12.2552
6	1229 13.1641	1212 12.9820	1167 12.5000	1161 12.4357	82551854345 13.0000
7	1141 12.2215	1140 12.2108	1209 12.9499	1235 13.2284	80760822737 12.7180
8	1055 11.3003	1073 11.4931	1066 11.4182	1043 11.1718	73465633954 11.5691
9	863  9.2438	855  9.1581	910  9.7472	923  9.8865	60489162482  9.5256
10	644  6.8980	643  6.8873	654  7.0051	644  6.8980	43661750688  6.8757
11	384  4.1131	391  4.1881	421  4.5094	426  4.5630	26377787548  4.1539
12	170  1.8209	166  1.7781	200  2.1422	195  2.0887	12128527136  1.9100
13	50  0.5356	50  0.5356	60  0.6427	60  0.6427	3317304159  0.5224
U = 14	9336  6.2287	9336  6.2298	9336  6.3658	9336  6.3635	635013559600  6.2957

Top     Main

Diamond make = sm

Value	North	South	West	East	Empirical
0	118  1.2639	119  1.2746	85  0.9105	86  0.9212	6949893015  1.0944
1	268  2.8706	268  2.8706	268  2.8706	256  2.7421	17646817412  2.7790
2	486  5.2057	486  5.2057	444  4.7558	445  4.7665	32992452829  5.1956
3	777  8.3226	774  8.2905	686  7.3479	690  7.3907	50476652542  7.9489
4	975 10.4434	972 10.4113	984 10.5398	987 10.5720	66372975438 10.4522
5	1069 11.4503	1080 11.5681	1245 13.3355	1245 13.3355	77821925315 12.2552
6	1249 13.3783	1245 13.3355	1183 12.6714	1182 12.6607	82551854345 13.0000
7	1201 12.8642	1190 12.7464	1204 12.8963	1211 12.9713	80760822737 12.7180
8	1153 12.3500	1146 12.2751	1042 11.1611	1039 11.1290	73465633954 11.5691
9	884  9.4687	893  9.5651	905  9.6937	893  9.5651	60489162482  9.5256
10	570  6.1054	572  6.1268	655  7.0159	666  7.1337	43661750688  6.8757
11	366  3.9203	369  3.9524	383  4.1024	386  4.1345	26377787548  4.1539
12	184  1.9709	187  2.0030	195  2.0887	194  2.0780	12128527136  1.9100
13	36  0.3856	35  0.3749	57  0.6105	56  0.5998	3317304159  0.5224
U = 14	9336  6.2445	9336  6.2482	9336  6.3438	9336  6.3484	635013559600  6.2957

Top     Main

Club make = sm

Value	North	South	West	East	Empirical
0	128  1.3710	129  1.3817	98  1.0497	97  1.0390	6949893015  1.0944
1	267  2.8599	261  2.7956	253  2.7099	250  2.6778	17646817412  2.7790
2	479  5.1307	482  5.1628	448  4.7986	453  4.8522	32992452829  5.1956
3	709  7.5943	725  7.7656	741  7.9370	753  8.0656	50476652542  7.9489
4	987 10.5720	984 10.5398	974 10.4327	961 10.2935	66372975438 10.4522
5	1259 13.4854	1257 13.4640	1093 11.7074	1072 11.4824	77821925315 12.2552
6	1183 12.6714	1173 12.5643	1200 12.8535	1226 13.1320	82551854345 13.0000
7	1205 12.9070	1196 12.8106	1201 12.8642	1196 12.8106	80760822737 12.7180
8	1019 10.9147	1027 11.0004	1170 12.5321	1183 12.6714	73465633954 11.5691
9	868  9.2973	867  9.2866	894  9.5758	890  9.5330	60489162482  9.5256
10	654  7.0051	650  6.9623	611  6.5446	614  6.5767	43661750688  6.8757
11	362  3.8775	368  3.9417	375  4.0167	366  3.9203	26377787548  4.1539
12	169  1.8102	171  1.8316	207  2.2172	204  2.1851	12128527136  1.9100
13	47  0.5034	46  0.4927	71  0.7605	71  0.7605	3317304159  0.5224
U = 14	9336  6.2396	9336  6.2391	9336  6.3612	9336  6.3580	635013559600  6.2957

Top     Main

Longest fit = lf

Value	North	South	West	East	Theoretical
7	1477 15.8205	1477 15.8205	1486 15.9169	1486 15.9169	13006498437504 15.7363
8	4268 45.7155	4268 45.7155	4252 45.5441	4252 45.5441	37809373653909 45.7447
9	2634 28.2134	2634 28.2134	2691 28.8239	2691 28.8239	23225440992325 28.0999
10	814  8.7189	814  8.7189	747  8.0013	747  8.0013	7168401039800  8.6729
11	130  1.3925	130  1.3925	143  1.5317	143  1.5317	1307227435020  1.5816
12	13  0.1392	13  0.1392	17  0.1821	17  0.1821	130732315831  0.1582
13	0	0	0	0	5414950295  0.0066
U = 7	9336  8.3457	9336  8.3457	9336  8.3423	9336  8.3423	82653088824684  8.3512

Top     Main

Longest fit make = lm

Value	North	South	West	East	Empirical
0	0	0	1  0.0107	1  0.0107	22876394  0.0036
1	4  0.0428	5  0.0536	4  0.0428	4  0.0428	251246691  0.0396
2	25  0.2678	22  0.2356	25  0.2678	26  0.2785	1556124656  0.2451
3	98  1.0497	100  1.0711	65  0.6962	66  0.7069	5892722789  0.9280
4	237  2.5386	241  2.5814	228  2.4422	226  2.4207	16409883547  2.5842
5	539  5.7734	540  5.7841	558  5.9769	554  5.9340	35643298455  5.6130
6	905  9.6937	903  9.6722	888  9.5116	889  9.5223	62031256233  9.7685
7	1354 14.5030	1356 14.5244	1305 13.9781	1322 14.1602	89999744190 14.1729
8	1675 17.9413	1674 17.9306	1591 17.0416	1587 16.9987	110099842849 17.3382
9	1642 17.5878	1625 17.4057	1671 17.8985	1657 17.7485	113173167471 17.8222
10	1401 15.0064	1419 15.1992	1393 14.9207	1399 14.9850	95919764225 15.1052
11	887  9.5009	886  9.4901	940 10.0686	942 10.0900	64150449024 10.1022
12	455  4.8736	449  4.8093	509  5.4520	504  5.3985	31112561346  4.8995
13	114  1.2211	116  1.2425	158  1.6924	159  1.7031	8750621730  1.3780
U = 14	9336  8.3318	9336  8.3303	9336  8.4204	9336  8.4182	635013559600  8.3753

Top     Main

Best fit = bf

Value	North	South	West	East	Empirical
5	0	0	2  0.0214	2  0.0214	10461673  0.0016
6	16  0.1714	14  0.1500	13  0.1392	13  0.1392	1222077835  0.1924
7	1566 16.7738	1567 16.7845	1556 16.6667	1559 16.6988	105351212255 16.5904
8	4215 45.1478	4220 45.2014	4230 45.3085	4226 45.2656	287234089436 45.2327
9	2590 27.7421	2588 27.7207	2638 28.2562	2639 28.2669	175437245133 27.6273
10	807  8.6440	805  8.6225	739  7.9156	738  7.9049	54701014789  8.6141
11	129  1.3817	129  1.3817	141  1.5103	142  1.5210	10008187498  1.5761
12	13  0.1392	13  0.1392	17  0.1821	17  0.1821	1006364496  0.1585
13	0	0	0	0	42906485  0.0068
U = 9	9336  8.3262	9336  8.3258	9336  8.3234	9336  8.3233	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  0.0214	2  0.0214	3  0.0321	3  0.0321	132231913  0.0208
2	22  0.2356	20  0.2142	20  0.2142	20  0.2142	1339624042  0.2110
3	95  1.0176	97  1.0390	63  0.6748	66  0.7069	5671089748  0.8931
4	235  2.5171	237  2.5386	227  2.4314	221  2.3672	16177592015  2.5476
5	525  5.6234	529  5.6662	557  5.9662	554  5.9340	35415185536  5.5771
6	907  9.7151	905  9.6937	872  9.3402	876  9.3830	61775936908  9.7283
7	1349 14.4494	1354 14.5030	1302 13.9460	1320 14.1388	89711329037 14.1275
8	1673 17.9199	1666 17.8449	1595 17.0844	1588 17.0094	109962826727 17.3166
9	1654 17.7164	1636 17.5236	1671 17.8985	1655 17.7271	113305081446 17.8429
10	1402 15.0171	1417 15.1778	1400 14.9957	1410 15.1028	96187452851 15.1473
11	887  9.5009	893  9.5651	944 10.1114	946 10.1328	64547826059 10.1648
12	469  5.0236	462  4.9486	523  5.6020	517  5.5377	31646530587  4.9836
13	116  1.2425	118  1.2639	159  1.7031	160  1.7138	9139338741  1.4392
U = 14	9336  8.3509	9336  8.3501	9336  8.4401	9336  8.4383	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  0.0107	1  0.0107	11612306  0.0018
3  1	0	0	0	0	25874094  0.0041
4  1	1  0.0107	1  0.0107	1  0.0107	1  0.0107	53231899  0.0084
5 N 1	1  0.0107	1  0.0107	1  0.0107	1  0.0107	36956503  0.0058
6  2	2  0.0214	2  0.0214	3  0.0321	3  0.0321	120316810  0.0189
7  2	2  0.0214	2  0.0214	6  0.0643	6  0.0643	198635528  0.0313
8  2	8  0.0857	8  0.0857	5  0.0536	5  0.0536	326628269  0.0514
9  2	7  0.0750	6  0.0643	5  0.0536	5  0.0536	500918833  0.0789
10 N 2	3  0.0321	2  0.0214	1  0.0107	1  0.0107	185145875  0.0292
11  3	9  0.0964	8  0.0857	6  0.0643	7  0.0750	708986520  0.1116
12  3	24  0.2571	27  0.2892	14  0.1500	15  0.1607	998658286  0.1573
13  3	24  0.2571	23  0.2464	14  0.1500	15  0.1607	1395338886  0.2197
14  3	29  0.3106	31  0.3320	22  0.2356	21  0.2249	1910125869  0.3008
15 N 3	8  0.0857	7  0.0750	7  0.0750	8  0.0857	600509115  0.0946
16  4	41  0.4392	40  0.4284	32  0.3428	30  0.3213	2289229042  0.3605
17  4	39  0.4177	37  0.3963	42  0.4499	42  0.4499	2994612265  0.4716
18  4	51  0.5463	51  0.5463	52  0.5570	49  0.5249	3903975403  0.6148
19  4	78  0.8355	83  0.8890	77  0.8248	74  0.7926	5081012026  0.8001
20 N 4	24  0.2571	24  0.2571	19  0.2035	22  0.2356	1713322270  0.2698
21  5	98  1.0497	100  1.0711	78  0.8355	78  0.8355	5390835002  0.8489
22  5	105  1.1247	108  1.1568	113  1.2104	114  1.2211	6765583620  1.0654
23  5	134  1.4353	130  1.3925	125  1.3389	126  1.3496	8498769442  1.3384
24  5	136  1.4567	139  1.4889	167  1.7888	166  1.7781	10602398413  1.6696
25 N 5	45  0.4820	45  0.4820	74  0.7926	68  0.7284	3790350430  0.5969
26  6	149  1.5960	150  1.6067	125  1.3389	132  1.4139	9966643603  1.5695
27  6	185  1.9816	187  2.0030	160  1.7138	164  1.7566	12109712021  1.9070
28  6	207  2.2172	204  2.1851	225  2.4100	223  2.3886	14729112069  2.3195
29  6	258  2.7635	260  2.7849	265  2.8385	265  2.8385	17910202521  2.8204
30 N 6	99  1.0604	92  0.9854	90  0.9640	85  0.9105	6534760658  1.0291
31  7	230  2.4636	228  2.4422	215  2.3029	216  2.3136	15075437352  2.3740
32  7	293  3.1384	285  3.0527	264  2.8278	267  2.8599	17958650211  2.8281
33  7	303  3.2455	306  3.2776	325  3.4811	327  3.5026	21361994439  3.3640
34  7	378  4.0488	393  4.2095	367  3.9310	371  3.9739	25528480621  4.0201
35 N 7	137  1.4674	138  1.4781	120  1.2853	126  1.3496	9154206125  1.4416
36  8	258  2.7635	253  2.7099	294  3.1491	298  3.1919	18791511418  2.9592
37  8	340  3.6418	347  3.7168	290  3.1063	286  3.0634	22088800625  3.4785
38  8	411  4.4023	414  4.4344	379  4.0596	371  3.9739	26002102208  4.0947
39  8	469  5.0236	453  4.8522	447  4.7879	452  4.8415	30496109913  4.8024
40 N 8	192  2.0566	197  2.1101	168  1.7995	170  1.8209	12173466153  1.9170
41  9	311  3.3312	312  3.3419	269  2.8813	263  2.8171	19155398988  3.0165
42  9	302  3.2348	311  3.3312	323  3.4597	319  3.4169	22679953280  3.5716
43  9	383  4.1024	362  3.8775	416  4.4559	415  4.4452	26645003052  4.1960
44  9	444  4.7558	445  4.7665	466  4.9914	456  4.8843	31116921638  4.9002
45 N 9	208  2.2279	202  2.1637	211  2.2601	211  2.2601	13776418529  2.1695
46  10	246  2.6350	251  2.6885	226  2.4207	218  2.3350	15678126613  2.4689
47  10	231  2.4743	237  2.5386	290  3.1063	304  3.2562	18845651711  2.9678
48  10	323  3.4597	320  3.4276	328  3.5133	330  3.5347	22346330376  3.5190
49  10	411  4.4023	408  4.3702	378  4.0488	377  4.0381	26213758053  4.1281
50 N 10	204  2.1851	213  2.2815	184  1.9709	185  1.9816	13730953401  2.1623
51  11	123  1.3175	120  1.2853	125  1.3389	120  1.2853	9697289588  1.5271
52  11	175  1.8745	172  1.8423	158  1.6924	156  1.6710	11914043914  1.8762
53  11	209  2.2386	211  2.2601	235  2.5171	237  2.5386	14305376462  2.2528
54  11	239  2.5600	237  2.5386	258  2.7635	264  2.8278	16882127404  2.6585
55 N 11	160  1.7138	168  1.7995	182  1.9494	185  1.9816	12637216524  1.9901
56  12	54  0.5784	54  0.5784	66  0.7069	69  0.7391	4042066459  0.6365
57  12	81  0.8676	77  0.8248	76  0.8141	81  0.8676	4996576787  0.7868
58  12	84  0.8997	82  0.8783	92  0.9854	93  0.9961	6084938998  0.9582
59  12	119  1.2746	113  1.2104	120  1.2853	116  1.2425	7241748711  1.1404
60 N 12	132  1.4139	138  1.4781	170  1.8209	164  1.7566	9797000990  1.5428
61  13	15  0.1607	15  0.1607	22  0.2356	21  0.2249	950467974  0.1497
62  13	10  0.1071	11  0.1178	20  0.2142	18  0.1928	1125576093  0.1773
63  13	19  0.2035	20  0.2142	21  0.2249	22  0.2356	1297292873  0.2043
64  13	17  0.1821	18  0.1928	20  0.2142	20  0.2142	1491113912  0.2348
65 N 13	58  0.6213	57  0.6105	81  0.8676	81  0.8676	4372449423  0.6886
U = 66	9336 39.8669	9336 39.8619	9336 40.3334	9336 40.3264	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  0.0107	1  0.0107	9447300  0.0015
3  1	0	0	0	0	21574362  0.0034
4  1	1  0.0107	1  0.0107	1  0.0107	1  0.0107	42527988  0.0067
5 N 1	1  0.0107	0	1  0.0107	1  0.0107	26388851  0.0042
6  2	2  0.0214	1  0.0107	1  0.0107	1  0.0107	84995416  0.0134
7  2	2  0.0214	2  0.0214	3  0.0321	3  0.0321	142224249  0.0224
8  2	4  0.0428	3  0.0321	5  0.0536	5  0.0536	231292299  0.0364
9  2	4  0.0428	5  0.0536	6  0.0643	7  0.0750	363266834  0.0572
10 N 2	3  0.0321	3  0.0321	1  0.0107	1  0.0107	127432564  0.0201
11  3	4  0.0428	6  0.0643	3  0.0321	4  0.0428	493076363  0.0776
12  3	17  0.1821	18  0.1928	9  0.0964	7  0.0750	693513539  0.1092
13  3	17  0.1821	20  0.2142	10  0.1071	11  0.1178	1000823292  0.1576
14  3	26  0.2785	21  0.2249	14  0.1500	16  0.1714	1395369165  0.2197
15 N 3	4  0.0428	6  0.0643	5  0.0536	6  0.0643	517057969  0.0814
16  4	24  0.2571	26  0.2785	23  0.2464	23  0.2464	1644254032  0.2589
17  4	41  0.4392	39  0.4177	30  0.3213	29  0.3106	2174377737  0.3424
18  4	47  0.5034	44  0.4713	35  0.3749	35  0.3749	2890268054  0.4552
19  4	63  0.6748	61  0.6534	60  0.6427	55  0.5891	3825111648  0.6024
20 N 4	21  0.2249	21  0.2249	20  0.2142	22  0.2356	1603391433  0.2525
21  5	71  0.7605	73  0.7819	55  0.5891	48  0.5141	3998705776  0.6297
22  5	73  0.7819	73  0.7819	83  0.8890	78  0.8355	5059967561  0.7968
23  5	86  0.9212	87  0.9319	93  0.9961	86  0.9212	6444920473  1.0149
24  5	114  1.2211	116  1.2425	129  1.3817	125  1.3389	8171172220  1.2868
25 N 5	62  0.6641	63  0.6748	68  0.7284	70  0.7498	3680646693  0.5796
26  6	126  1.3496	120  1.2853	105  1.1247	104  1.1140	7757580348  1.2216
27  6	149  1.5960	145  1.5531	129  1.3817	130  1.3925	9525027771  1.5000
28  6	185  1.9816	188  2.0137	172  1.8423	180  1.9280	11764658491  1.8527
29  6	199  2.1315	197  2.1101	227  2.4314	225  2.4100	14509280677  2.2849
30 N 6	97  1.0390	102  1.0925	71  0.7605	77  0.8248	6740920718  1.0615
31  7	173  1.8530	183  1.9602	168  1.7995	173  1.8530	12379732192  1.9495
32  7	215  2.3029	211  2.2601	207  2.2172	214  2.2922	14970987161  2.3576
33  7	246  2.6350	245  2.6243	273  2.9242	281  3.0099	18071185110  2.8458
34  7	327  3.5026	333  3.5668	331  3.5454	336  3.5990	21830271641  3.4378
35 N 7	168  1.7995	174  1.8638	162  1.7352	152  1.6281	11424585988  1.7991
36  8	230  2.4636	224  2.3993	264  2.8278	263  2.8171	16339498138  2.5731
37  8	301  3.2241	306  3.2776	261  2.7956	257  2.7528	19709383181  3.1038
38  8	383  4.1024	374  4.0060	363  3.8882	356  3.8132	23605758352  3.7174
39  8	434  4.6487	429  4.5951	416  4.4559	417  4.4666	28085928185  4.4229
40 N 8	248  2.6564	245  2.6243	220  2.3565	224  2.3993	16270929517  2.5623
41  9	282  3.0206	267  2.8599	228  2.4422	225  2.4100	17610462720  2.7732
42  9	309  3.3098	313  3.3526	326  3.4919	325  3.4811	21330730539  3.3591
43  9	376  4.0274	379  4.0596	389  4.1667	393  4.2095	25409571822  4.0014
44  9	453  4.8522	454  4.8629	433  4.6380	431  4.6165	30048695498  4.7320
45 N 9	296  3.1705	298  3.1919	322  3.4490	328  3.5133	20125215758  3.1693
46  10	223  2.3886	228  2.4422	214  2.2922	212  2.2708	15180947336  2.3906
47  10	252  2.6992	251  2.6885	271  2.9027	259  2.7742	18360372398  2.8913
48  10	311  3.3312	306  3.2776	331  3.5454	334  3.5775	21797024413  3.4325
49  10	369  3.9524	388  4.1560	356  3.8132	349  3.7382	25500986557  4.0158
50 N 10	344  3.6847	346  3.7061	322  3.4490	330  3.5347	22971290435  3.6174
51  11	142  1.5210	147  1.5746	139  1.4889	146  1.5638	10149896990  1.5984
52  11	167  1.7888	169  1.8102	176  1.8852	175  1.8745	12077115810  1.9019
53  11	210  2.2494	211  2.2601	223  2.3886	217  2.3243	14119413033  2.2235
54  11	208  2.2279	198  2.1208	246  2.6350	257  2.7528	16390731570  2.5812
55 N 11	317  3.3955	322  3.4490	338  3.6204	332  3.5561	22941283147  3.6127
56  12	74  0.7926	68  0.7284	77  0.8248	78  0.8355	5500720419  0.8662
57  12	90  0.9640	85  0.9105	95  1.0176	98  1.0497	6227026988  0.9806
58  12	105  1.1247	94  1.0069	113  1.2104	109  1.1675	7033151127  1.1076
59  12	126  1.3496	128  1.3710	109  1.1675	108  1.1568	7852931458  1.2367
60 N 12	265  2.8385	272  2.9135	289  3.0955	294  3.1491	17849476370  2.8109
61  13	30  0.3213	29  0.3106	43  0.4606	41  0.4392	2037906651  0.3209
62  13	30  0.3213	28  0.2999	33  0.3535	34  0.3642	2187019556  0.3444
63  13	33  0.3535	32  0.3428	34  0.3642	34  0.3642	2314542960  0.3645
64  13	27  0.2892	27  0.2892	27  0.2892	24  0.2571	2451437963  0.3860
65 N 13	129  1.3817	131  1.4032	177  1.8959	179  1.9173	9913593383  1.5612
U = 66	9336 41.7567	9336 41.7516	9336 42.2543	9336 42.2729	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	1767 18.9267	1768 18.9374	1730 18.5304	1727 18.4983	119358998783 18.7963
1 1	230  2.4636	228  2.4422	215  2.3029	216  2.3136	15075437352  2.3740
2 1	293  3.1384	285  3.0527	264  2.8278	267  2.8599	17958650211  2.8281
3 1	303  3.2455	306  3.2776	325  3.4811	327  3.5026	21361994439  3.3640
4 1	378  4.0488	393  4.2095	367  3.9310	371  3.9739	25528480621  4.0201
5 1 N	137  1.4674	138  1.4781	120  1.2853	126  1.3496	9154206126  1.4416
6 2	258  2.7635	253  2.7099	294  3.1491	298  3.1919	18791511418  2.9592
7 2	340  3.6418	347  3.7168	290  3.1063	286  3.0634	22088800625  3.4785
8 2	411  4.4023	414  4.4344	379  4.0596	371  3.9739	26002102208  4.0947
9 2	469  5.0236	453  4.8522	447  4.7879	452  4.8415	30496109913  4.8024
10 3	243  2.6028	240  2.5707	212  2.2708	212  2.2708	15168880833  2.3887
11 3	242  2.5921	243  2.6028	246  2.6350	245  2.6243	17647767441  2.7791
12 2 N	320  3.4276	337  3.6097	302  3.2348	295  3.1598	21192170146  3.3373
13 4	125  1.3389	131  1.4032	132  1.4139	129  1.3817	8352078922  1.3153
14 4	122  1.3068	127  1.3603	161  1.7245	169  1.8102	10306791805  1.6231
15 3	436  4.6701	413  4.4237	469  5.0236	466  4.9914	30412174290  4.7892
16 3	505  5.4092	498  5.3342	525  5.6234	519  5.5591	35369266210  5.5698
17 3 N	324  3.4704	328  3.5133	322  3.4490	321  3.4383	21621810315  3.4049
18 5	56  0.5998	56  0.5998	64  0.6855	66  0.7069	4918954504  0.7746
19 5	94  1.0069	96  1.0283	71  0.7605	75  0.8033	6307419874  0.9933
20 4	355  3.8025	353  3.7811	370  3.9632	366  3.9203	24619813919  3.8771
21 4	452  4.8415	445  4.7665	408  4.3702	402  4.3059	28756868129  4.5285
22 4 N	279  2.9884	283  3.0313	260  2.7849	259  2.7742	19299318906  3.0392
23 5	209  2.2386	211  2.2601	235  2.5171	237  2.5386	14305376462  2.2528
24 5	239  2.5600	237  2.5386	258  2.7635	264  2.8278	16882127404  2.6585
25 5 N	160  1.7138	168  1.7995	182  1.9494	185  1.9816	12637216524  1.9901
26 6	54  0.5784	54  0.5784	66  0.7069	69  0.7391	4042066459  0.6365
27 6	81  0.8676	77  0.8248	76  0.8141	81  0.8676	4996576787  0.7868
28 6	84  0.8997	82  0.8783	92  0.9854	93  0.9961	6084938998  0.9582
29 6	119  1.2746	113  1.2104	120  1.2853	116  1.2425	7241748711  1.1404
30 6 N	132  1.4139	138  1.4781	170  1.8209	164  1.7566	9797000990  1.5428
31 7	15  0.1607	15  0.1607	22  0.2356	21  0.2249	950467974  0.1497
32 7	10  0.1071	11  0.1178	20  0.2142	18  0.1928	1125576093  0.1773
33 7	19  0.2035	20  0.2142	21  0.2249	22  0.2356	1297292873  0.2043
34 7	17  0.1821	18  0.1928	20  0.2142	20  0.2142	1491113912  0.2348
35 7 N	58  0.6213	57  0.6105	81  0.8676	81  0.8676	4372449423  0.6886
U = 36	9336 11.2675	9336 11.2612	9336 11.6489	9336 11.6369	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	18  0.3912	7  0.1478	25  0.2678
3 90	144  3.1298	123  2.5977	267  2.8599
4 100	756 16.4312	721 15.2270	1477 15.8205
5 110	194  4.2165	208  4.3928	402  4.3059
6 120	197  4.2817	190  4.0127	387  4.1452
7 130	174  3.7818	186  3.9282	360  3.8560
8 140	478 10.3890	568 11.9958	1046 11.2039
10 300	242  5.2597	235  4.9630	477  5.1093
11 400	388  8.4329	355  7.4974	743  7.9584
12 420	548 11.9105	527 11.1299	1075 11.5146
13 430	281  6.1074	270  5.7022	551  5.9019
14 450	402  8.7372	448  9.4615	850  9.1045
15 460	177  3.8470	194  4.0971	371  3.9739
16 500	22  0.4782	24  0.5069	46  0.4927
22 800	47  1.0215	44  0.9293	91  0.9747
23 920	100  2.1734	112  2.3654	212  2.2708
24 980	171  3.7166	183  3.8648	354  3.7918
25 990	142  3.0863	180  3.8015	322  3.4490
26 1100	3  0.0652	8  0.1690	11  0.1178
28 1400	5  0.1087	8  0.1690	13  0.1392
30 1440	20  0.4347	28  0.5913	48  0.5141
31 1510	34  0.7390	35  0.7392	69  0.7391
32 1520	58  1.2606	81  1.7107	139  1.4889
U = 25	4601 11.0745	4735 11.4748	9336 11.2775

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	18  0.3912	7  0.1478	25  0.2678
3 90	144  3.1298	123  2.5977	267  2.8599
4 100	756 16.4312	0	756  8.0977
5 110	194  4.2165	478 10.0950	672  7.1979
6 120	197  4.2817	249  5.2587	446  4.7772
7 130	174  3.7818	241  5.0898	415  4.4452
8 140	478 10.3890	780 16.4731	1258 13.4747
9 200	0	125  2.6399	125  1.3389
10 300	242  5.2597	0	242  2.5921
11 400	0	420  8.8701	420  4.4987
12 420	0	648 13.6853	648  6.9409
13 430	0	281  5.9345	281  3.0099
14 450	0	479 10.1162	479  5.1307
15 460	0	195  4.1183	195  2.0887
16 500	406  8.8242	6  0.1267	412  4.4130
17 600	280  6.0856	0	280  2.9991
18 620	360  7.8244	0	360  3.8560
19 630	249  5.4119	0	249  2.6671
20 650	349  7.5853	0	349  3.7382
21 660	174  3.7818	0	174  1.8638
22 800	47  1.0215	24  0.5069	71  0.7605
23 920	0	134  2.8300	134  1.4353
24 980	0	200  4.2239	200  2.1422
25 990	0	182  3.8437	182  1.9494
26 1100	72  1.5649	3  0.0634	75  0.8033
27 1370	75  1.6301	0	75  0.8033
28 1400	62  1.3475	8  0.1690	70  0.7498
29 1430	85  1.8474	0	85  0.9105
30 1440	127  2.7603	32  0.6758	159  1.7031
31 1510	0	39  0.8237	39  0.4177
32 1520	0	81  1.7107	81  0.8676
33 1700	7  0.1521	0	7  0.0750
34 2000	6  0.1304	0	6  0.0643
35 2140	13  0.2825	0	13  0.1392
36 2210	28  0.6086	0	28  0.2999
37 2220	58  1.2606	0	58  0.6213
U = 38	4601 13.7346	4735 12.0629	9336 12.8868

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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	18  0.3912	7  0.1478	25  0.2678
3 90	144  3.1298	123  2.5977	267  2.8599
4 100	0	721 15.2270	721  7.7228
5 110	503 10.9324	208  4.3928	711  7.6157
6 120	279  6.0639	190  4.0127	469  5.0236
7 130	208  4.5208	186  3.9282	394  4.2202
8 140	689 14.9750	568 11.9958	1257 13.4640
9 200	120  2.6081	0	120  1.2853
10 300	0	235  4.9630	235  2.5171
11 400	447  9.7153	0	447  4.7879
12 420	686 14.9098	0	686  7.3479
13 430	293  6.3682	0	293  3.1384
14 450	429  9.3241	0	429  4.5951
15 460	177  3.8470	0	177  1.8959
16 500	6  0.1304	422  8.9124	428  4.5844
17 600	0	238  5.0264	238  2.5493
18 620	0	352  7.4340	352  3.7704
19 630	0	245  5.1742	245  2.6243
20 650	0	374  7.8986	374  4.0060
21 660	0	187  3.9493	187  2.0030
22 800	22  0.4782	44  0.9293	66  0.7069
23 920	124  2.6951	0	124  1.3282
24 980	190  4.1295	0	190  2.0351
25 990	145  3.1515	0	145  1.5531
26 1100	1  0.0217	77  1.6262	78  0.8355
27 1370	0	93  1.9641	93  0.9961
28 1400	3  0.0652	68  1.4361	71  0.7605
29 1430	0	103  2.1753	103  1.1033
30 1440	24  0.5216	150  3.1679	174  1.8638
31 1510	35  0.7607	0	35  0.3749
32 1520	58  1.2606	0	58  0.6213
33 1700	0	11  0.2323	11  0.1178
34 2000	0	6  0.1267	6  0.0643
35 2140	0	14  0.2957	14  0.1500
36 2210	0	32  0.6758	32  0.3428
37 2220	0	81  1.7107	81  0.8676
U = 38	4601 11.6740	4735 14.1324	9336 12.9208

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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	18  0.3912	7  0.1478	25  0.2678
3 90	144  3.1298	123  2.5977	267  2.8599
5 110	503 10.9324	478 10.0950	981 10.5077
6 120	279  6.0639	249  5.2587	528  5.6555
7 130	208  4.5208	241  5.0898	449  4.8093
8 140	689 14.9750	780 16.4731	1469 15.7348
9 200	120  2.6081	125  2.6399	245  2.6243
16 500	242  5.2597	235  4.9630	477  5.1093
17 600	388  8.4329	355  7.4974	743  7.9584
18 620	548 11.9105	527 11.1299	1075 11.5146
19 630	281  6.1074	270  5.7022	551  5.9019
20 650	402  8.7372	448  9.4615	850  9.1045
21 660	177  3.8470	194  4.0971	371  3.9739
22 800	22  0.4782	24  0.5069	46  0.4927
26 1100	47  1.0215	44  0.9293	91  0.9747
27 1370	100  2.1734	112  2.3654	212  2.2708
28 1400	47  1.0215	58  1.2249	105  1.1247
29 1430	131  2.8472	144  3.0412	275  2.9456
30 1440	138  2.9993	169  3.5692	307  3.2883
33 1700	5  0.1087	8  0.1690	13  0.1392
34 2000	7  0.1521	11  0.2323	18  0.1928
35 2140	16  0.3478	18  0.3801	34  0.3642
36 2210	31  0.6738	34  0.7181	65  0.6962
37 2220	58  1.2606	81  1.7107	139  1.4889
U = 26	4601 14.7835	4735 15.1677	9336 14.9784

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LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	1  0.1012	0	0	0
13	100 10.1215	80  8.0972	90  9.1093	67  6.7814
14	465 47.0648	441 44.6356	470 47.5709	451 45.6478
15	350 35.4251	384 38.8664	352 35.6275	382 38.6640
16	68  6.8826	79  7.9960	72  7.2874	84  8.5020
17	3  0.3036	3  0.3036	3  0.3036	3  0.3036
18	0	0	0	0
19	0	0	0	0
20	1  0.1012	1  0.1012	1  0.1012	1  0.1012
U = 9	988 14.4038	988 14.4828	988 14.4261	988 14.5040

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.2026	2  0.2026	0	0
13	9  0.9119	7  0.7092	7  0.7092	4  0.4053
14	141 14.2857	115 11.6515	146 14.7923	119 12.0567
15	480 48.6322	481 48.7335	479 48.5309	482 48.8349
16	307 31.1044	327 33.1307	306 31.0030	326 33.0294
17	44  4.4580	51  5.1672	45  4.5593	52  5.2685
18	4  0.4053	4  0.4053	4  0.4053	4  0.4053
U = 7	987 15.2452	987 15.3100	987 15.2513	987 15.3191

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	3  0.1208	3  0.1208	0	0
13	14  0.5638	12  0.4833	4  0.1611	2  0.0805
14	90  3.6246	77  3.1011	72  2.8997	54  2.1748
15	531 21.3854	493 19.8550	517 20.8216	482 19.4120
16	1043 42.0056	1041 41.9251	1079 43.4555	1067 42.9722
17	626 25.2114	661 26.6210	630 25.3725	677 27.2654
18	151  6.0814	168  6.7660	154  6.2022	173  6.9674
19	22  0.8860	25  1.0068	25  1.0068	25  1.0068
20	2  0.0805	2  0.0805	1  0.0403	2  0.0805
21	0	0	0	0
22	1  0.0403	1  0.0403	1  0.0403	1  0.0403
U = 11	2483 16.0979	2483 16.1575	2483 16.1410	2483 16.2078

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0455	1  0.0455	0	0
11	0	0	0	0
12	0	0	0	0
13	4  0.1821	3  0.1366	1  0.0455	1  0.0455
14	14  0.6375	13  0.5920	7  0.3188	6  0.2732
15	110  5.0091	97  4.4171	100  4.5537	86  3.9162
16	477 21.7213	451 20.5373	478 21.7668	442 20.1275
17	863 39.2987	862 39.2532	871 39.6630	879 40.0273
18	554 25.2277	580 26.4117	567 25.8197	590 26.8670
19	155  7.0583	170  7.7413	154  7.0128	173  7.8780
20	18  0.8197	19  0.8652	18  0.8197	19  0.8652
U = 11	2196 17.0710	2196 17.1248	2196 17.1029	2196 17.1626

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	10  0.6949	8  0.5559	8  0.5559	7  0.4864
16	95  6.6018	86  5.9764	87  6.0459	78  5.4204
17	340 23.6275	331 23.0021	326 22.6546	315 21.8902
18	546 37.9430	544 37.8040	554 38.4990	548 38.0820
19	307 21.3343	312 21.6817	321 22.3072	329 22.8631
20	113  7.8527	127  8.8256	112  7.7832	130  9.0341
21	27  1.8763	28  1.9458	29  2.0153	27  1.8763
22	0	2  0.1390	1  0.0695	4  0.2780
23	1  0.0695	1  0.0695	1  0.0695	1  0.0695
U = 9	1439 18.0410	1439 18.0945	1439 18.0813	1439 18.1383

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
16	12  1.4599	10  1.2165	13  1.5815	10  1.2165
17	99 12.0438	95 11.5572	84 10.2190	81  9.8540
18	229 27.8589	220 26.7640	233 28.3455	220 26.7640
19	266 32.3601	266 32.3601	260 31.6302	268 32.6034
20	167 20.3163	178 21.6545	179 21.7762	187 22.7494
21	43  5.2311	44  5.3528	46  5.5961	47  5.7178
22	5  0.6083	8  0.9732	6  0.7299	8  0.9732
23	1  0.1217	1  0.1217	1  0.1217	1  0.1217
U = 8	822 18.7676	822 18.8224	822 18.8212	822 18.8747

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	13  4.4828	13  4.4828	8  2.7586	8  2.7586
18	53 18.2759	51 17.5862	49 16.8966	48 16.5517
19	85 29.3103	84 28.9655	89 30.6897	87 30.0000
20	82 28.2759	80 27.5862	85 29.3103	81 27.9310
21	40 13.7931	41 14.1379	40 13.7931	44 15.1724
22	15  5.1724	17  5.8621	16  5.5172	17  5.8621
23	2  0.6897	4  1.3793	3  1.0345	5  1.7241
U = 7	290 19.4690	290 19.5241	290 19.5517	290 19.6069

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	1  0.9615	0	0	0
18	10  9.6154	10  9.6154	8  7.6923	8  7.6923
19	20 19.2308	20 19.2308	21 20.1923	20 19.2308
20	35 33.6538	36 34.6154	37 35.5769	37 35.5769
21	24 23.0769	22 21.1538	24 23.0769	22 21.1538
22	12 11.5385	13 12.5000	11 10.5769	13 12.5000
23	2  1.9231	3  2.8846	2  1.9231	3  2.8846
24	0	0	1  0.9615	1  0.9615
U = 8	104 20.1058	104 20.1635	104 20.1827	104 20.2404

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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 Top     Main

LoTT 25 trumps

No data available

Double-dummy stats for 9,336 deals

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© 2018 Richard Pavlicek