Main   Stats 8H30 by Richard Pavlicek  

IMP Matches thru 8-21-19

Double-dummy stats for 11,206 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	203  1.8115	202  1.8026	150  1.3386	152  1.3564	9913593383  1.5612
1	437  3.8997	429  3.8283	420  3.7480	426  3.8015	23145762677  3.6449
2	682  6.0860	701  6.2556	632  5.6398	627  5.5952	37977932067  5.9806
3	926  8.2634	930  8.2991	946  8.4419	933  8.3259	52871069846  8.3260
4	1218 10.8692	1216 10.8513	1142 10.1910	1146 10.2267	67524194742 10.6335
5	1374 12.2613	1361 12.1453	1437 12.8235	1437 12.8235	80101714628 12.6142
6	1582 14.1174	1564 13.9568	1647 14.6975	1659 14.8046	90730441332 14.2880
7	1491 13.3054	1483 13.2340	1437 12.8235	1457 13.0020	84402158672 13.2914
8	1255 11.1994	1280 11.4225	1248 11.1369	1235 11.0209	71237104568 11.2182
9	864  7.7102	851  7.5941	852  7.6031	859  7.6655	47702049563  7.5120
10	568  5.0687	586  5.2293	587  5.2383	571  5.0955	32569065440  5.1289
11	329  2.9359	327  2.9181	368  3.2840	376  3.3553	20600866092  3.2442
12	207  1.8472	207  1.8472	246  2.1953	234  2.0882	11865157167  1.8685
13	70  0.6247	69  0.6157	94  0.8388	94  0.8388	4372449423  0.6886
U = 14	11206  5.9574	11206  5.9604	11206  6.0646	11206  6.0582	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	122  1.0887	125  1.1155	100  0.8924	100  0.8924	6949893015  1.0944
1	324  2.8913	319  2.8467	342  3.0519	346  3.0876	17646817412  2.7790
2	611  5.4524	600  5.3543	535  4.7742	530  4.7296	32992452829  5.1956
3	876  7.8172	881  7.8619	883  7.8797	898  8.0136	50476652542  7.9489
4	1171 10.4498	1181 10.5390	1185 10.5747	1185 10.5747	66372975438 10.4522
5	1315 11.7348	1327 11.8419	1436 12.8146	1425 12.7164	77821925315 12.2552
6	1438 12.8324	1417 12.6450	1476 13.1715	1473 13.1447	82551854345 13.0000
7	1488 13.2786	1484 13.2429	1360 12.1364	1363 12.1631	80760822737 12.7180
8	1322 11.7973	1334 11.9043	1255 11.1994	1262 11.2618	73465633954 11.5691
9	1043  9.3075	1033  9.2183	1067  9.5217	1069  9.5395	60489162482  9.5256
10	780  6.9606	788  7.0319	794  7.0855	778  6.9427	43661750688  6.8757
11	449  4.0068	453  4.0425	487  4.3459	499  4.4530	26377787548  4.1539
12	222  1.9811	221  1.9722	230  2.0525	218  1.9454	12128527136  1.9100
13	45  0.4016	43  0.3837	56  0.4997	60  0.5354	3317304159  0.5224
U = 14	11206  6.2848	11206  6.2872	11206  6.3167	11206  6.3114	635013559600  6.2957

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Heart make = hm

Value	North	South	West	East	Empirical
0	136  1.2136	134  1.1958	121  1.0798	117  1.0441	6949893015  1.0944
1	335  2.9895	339  3.0252	324  2.8913	325  2.9002	17646817412  2.7790
2	627  5.5952	626  5.5863	575  5.1312	570  5.0866	32992452829  5.1956
3	910  8.1206	912  8.1385	865  7.7191	870  7.7637	50476652542  7.9489
4	1168 10.4230	1168 10.4230	1159 10.3427	1161 10.3605	66372975438 10.4522
5	1369 12.2167	1375 12.2702	1372 12.2434	1370 12.2256	77821925315 12.2552
6	1455 12.9841	1438 12.8324	1400 12.4933	1392 12.4219	82551854345 13.0000
7	1373 12.2524	1378 12.2970	1418 12.6539	1443 12.8770	80760822737 12.7180
8	1272 11.3511	1284 11.4581	1301 11.6099	1285 11.4671	73465633954 11.5691
9	1045  9.3254	1031  9.2004	1075  9.5931	1095  9.7716	60489162482  9.5256
10	776  6.9249	779  6.9516	794  7.0855	777  6.9338	43661750688  6.8757
11	467  4.1674	476  4.2477	494  4.4084	501  4.4708	26377787548  4.1539
12	215  1.9186	208  1.8561	236  2.1060	227  2.0257	12128527136  1.9100
13	58  0.5176	58  0.5176	72  0.6425	73  0.6514	3317304159  0.5224
U = 14	11206  6.2457	11206  6.2444	11206  6.3462	11206  6.3458	635013559600  6.2957

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Diamond make = dm

Value	North	South	West	East	Empirical
0	146  1.3029	147  1.3118	97  0.8656	100  0.8924	6949893015  1.0944
1	306  2.7307	307  2.7396	327  2.9181	317  2.8288	17646817412  2.7790
2	576  5.1401	578  5.1580	544  4.8545	546  4.8724	32992452829  5.1956
3	945  8.4330	940  8.3884	844  7.5317	846  7.5495	50476652542  7.9489
4	1157 10.3248	1157 10.3248	1180 10.5301	1181 10.5390	66372975438 10.4522
5	1290 11.5117	1300 11.6009	1492 13.3143	1493 13.3232	77821925315 12.2552
6	1481 13.2161	1471 13.1269	1426 12.7253	1422 12.6896	82551854345 13.0000
7	1441 12.8592	1427 12.7342	1420 12.6718	1432 12.7789	80760822737 12.7180
8	1386 12.3684	1379 12.3059	1261 11.2529	1259 11.2351	73465633954 11.5691
9	1065  9.5038	1081  9.6466	1071  9.5574	1055  9.4146	60489162482  9.5256
10	693  6.1842	697  6.2199	793  7.0766	802  7.1569	43661750688  6.8757
11	459  4.0960	458  4.0871	449  4.0068	451  4.0246	26377787548  4.1539
12	218  1.9454	222  1.9811	231  2.0614	232  2.0703	12128527136  1.9100
13	43  0.3837	42  0.3748	71  0.6336	70  0.6247	3317304159  0.5224
U = 14	11206  6.2619	11206  6.2649	11206  6.3282	11206  6.3300	635013559600  6.2957

Top     Main

Club make = cm

Value	North	South	West	East	Empirical
0	144  1.2850	147  1.3118	113  1.0084	112  0.9995	6949893015  1.0944
1	331  2.9538	320  2.8556	311  2.7753	312  2.7842	17646817412  2.7790
2	586  5.2293	593  5.2918	560  4.9973	556  4.9616	32992452829  5.1956
3	841  7.5049	858  7.6566	876  7.8172	890  7.9422	50476652542  7.9489
4	1163 10.3784	1163 10.3784	1174 10.4765	1162 10.3694	66372975438 10.4522
5	1496 13.3500	1494 13.3321	1295 11.5563	1278 11.4046	77821925315 12.2552
6	1453 12.9663	1437 12.8235	1440 12.8503	1466 13.0823	82551854345 13.0000
7	1422 12.6896	1415 12.6272	1480 13.2072	1480 13.2072	80760822737 12.7180
8	1237 11.0387	1249 11.1458	1372 12.2434	1380 12.3148	73465633954 11.5691
9	1040  9.2807	1037  9.2540	1069  9.5395	1061  9.4681	60489162482  9.5256
10	779  6.9516	775  6.9159	721  6.4341	730  6.5144	43661750688  6.8757
11	446  3.9800	454  4.0514	463  4.1317	455  4.0603	26377787548  4.1539
12	213  1.9008	210  1.8740	254  2.2666	246  2.1953	12128527136  1.9100
13	55  0.4908	54  0.4819	78  0.6961	78  0.6961	3317304159  0.5224
U = 14	11206  6.2514	11206  6.2484	11206  6.3530	11206  6.3491	635013559600  6.2957

Top     Main

Longest fit = lf

Value	North	South	West	East	Theoretical
7	1781 15.8933	1781 15.8933	1777 15.8576	1777 15.8576	13006498437504 15.7363
8	5114 45.6363	5114 45.6363	5109 45.5916	5109 45.5916	37809373653909 45.7447
9	3166 28.2527	3166 28.2527	3215 28.6900	3215 28.6900	23225440992325 28.0999
10	978  8.7275	978  8.7275	919  8.2010	919  8.2010	7168401039800  8.6729
11	153  1.3653	153  1.3653	164  1.4635	164  1.4635	1307227435020  1.5816
12	14  0.1249	14  0.1249	22  0.1963	22  0.1963	130732315831  0.1582
13	0	0	0	0	5414950295  0.0066
U = 7	11206  8.3441	11206  8.3441	11206  8.3441	11206  8.3441	82653088824684  8.3512

Top     Main

Longest fit make = lm

Value	North	South	West	East	Empirical
0	0	0	1  0.0089	1  0.0089	22876394  0.0036
1	4  0.0357	6  0.0535	5  0.0446	6  0.0535	251246691  0.0396
2	32  0.2856	28  0.2499	28  0.2499	28  0.2499	1556124656  0.2451
3	113  1.0084	115  1.0262	86  0.7674	87  0.7764	5892722789  0.9280
4	287  2.5611	292  2.6057	287  2.5611	287  2.5611	16409883547  2.5842
5	654  5.8362	657  5.8629	670  5.9789	665  5.9343	35643298455  5.6130
6	1092  9.7448	1080  9.6377	1078  9.6198	1077  9.6109	62031256233  9.7685
7	1601 14.2870	1613 14.3941	1569 14.0014	1595 14.2334	89999744190 14.1729
8	1988 17.7405	1987 17.7316	1920 17.1337	1909 17.0355	110099842849 17.3382
9	1968 17.5620	1948 17.3835	1967 17.5531	1956 17.4549	113173167471 17.8222
10	1676 14.9563	1697 15.1437	1677 14.9652	1685 15.0366	95919764225 15.1052
11	1101  9.8251	1099  9.8072	1130 10.0839	1132 10.1017	64150449024 10.1022
12	555  4.9527	547  4.8813	602  5.3721	590  5.2650	31112561346  4.8995
13	135  1.2047	137  1.2226	186  1.6598	188  1.6777	8750621730  1.3780
U = 14	11206  8.3425	11206  8.3404	11206  8.4038	11206  8.3995	635013559600  8.3753

Top     Main

Best fit = bf

Value	North	South	West	East	Empirical
5	0	0	2  0.0178	2  0.0178	10461673  0.0016
6	18  0.1606	15  0.1339	16  0.1428	18  0.1606	1222077835  0.1924
7	1896 16.9195	1895 16.9106	1865 16.6429	1861 16.6072	105351212255 16.5904
8	5047 45.0384	5055 45.1098	5075 45.2882	5075 45.2882	287234089436 45.2327
9	3108 27.7351	3106 27.7173	3153 28.1367	3155 28.1546	175437245133 27.6273
10	971  8.6650	969  8.6472	911  8.1296	910  8.1206	54701014789  8.6141
11	152  1.3564	152  1.3564	162  1.4457	163  1.4546	10008187498  1.5761
12	14  0.1249	14  0.1249	22  0.1963	22  0.1963	1006364496  0.1585
13	0	0	0	0	42906485  0.0068
U = 9	11206  8.3239	11206  8.3240	11206  8.3254	11206  8.3256	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  0.0178	3  0.0268	3  0.0268	3  0.0268	132231913  0.0208
2	28  0.2499	25  0.2231	24  0.2142	24  0.2142	1339624042  0.2110
3	109  0.9727	111  0.9905	84  0.7496	87  0.7764	5671089748  0.8931
4	282  2.5165	285  2.5433	285  2.5433	280  2.4987	16177592015  2.5476
5	641  5.7201	646  5.7648	667  5.9522	665  5.9343	35415185536  5.5771
6	1093  9.7537	1083  9.6645	1061  9.4681	1063  9.4860	61775936908  9.7283
7	1593 14.2156	1608 14.3495	1566 13.9747	1592 14.2067	89711329037 14.1275
8	1991 17.7673	1981 17.6780	1922 17.1515	1911 17.0534	109962826727 17.3166
9	1979 17.6602	1959 17.4817	1972 17.5977	1955 17.4460	113305081446 17.8429
10	1675 14.9473	1697 15.1437	1684 15.0277	1696 15.1347	96187452851 15.1473
11	1101  9.8251	1105  9.8608	1128 10.0660	1133 10.1107	64547826059 10.1648
12	573  5.1133	562  5.0152	621  5.5417	606  5.4078	31646530587  4.9836
13	139  1.2404	141  1.2583	189  1.6866	191  1.7044	9139338741  1.4392
U = 14	11206  8.3625	11206  8.3608	11206  8.4229	11206  8.4187	635013559600  8.3938

Top     Main

Highest make = H

Value	North	South	West	East	Empirical
0 —	0	0	0	0	1513990  0.0002
1  1	0	0	0	0	4027214  0.0006
2  1	0	1  0.0089	1  0.0089	1  0.0089	11612306  0.0018
3  1	0	0	0	0	25874094  0.0041
4  1	1  0.0089	1  0.0089	1  0.0089	1  0.0089	53231899  0.0084
5 N 1	1  0.0089	1  0.0089	1  0.0089	1  0.0089	36956503  0.0058
6  2	2  0.0178	2  0.0178	4  0.0357	4  0.0357	120316810  0.0189
7  2	3  0.0268	2  0.0178	7  0.0625	7  0.0625	198635528  0.0313
8  2	10  0.0892	10  0.0892	6  0.0535	6  0.0535	326628269  0.0514
9  2	10  0.0892	9  0.0803	5  0.0446	5  0.0446	500918833  0.0789
10 N 2	3  0.0268	2  0.0178	2  0.0178	2  0.0178	185145875  0.0292
11  3	11  0.0982	10  0.0892	9  0.0803	10  0.0892	708986520  0.1116
12  3	27  0.2409	30  0.2677	19  0.1696	20  0.1785	998658286  0.1573
13  3	25  0.2231	24  0.2142	20  0.1785	21  0.1874	1395338886  0.2197
14  3	34  0.3034	36  0.3213	24  0.2142	24  0.2142	1910125869  0.3008
15 N 3	11  0.0982	9  0.0803	12  0.1071	12  0.1071	600509115  0.0946
16  4	49  0.4373	50  0.4462	40  0.3570	38  0.3391	2289229042  0.3605
17  4	46  0.4105	44  0.3926	53  0.4730	53  0.4730	2994612265  0.4716
18  4	61  0.5444	61  0.5444	68  0.6068	68  0.6068	3903975403  0.6148
19  4	98  0.8745	102  0.9102	88  0.7853	85  0.7585	5081012026  0.8001
20 N 4	25  0.2231	27  0.2409	29  0.2588	32  0.2856	1713322270  0.2698
21  5	117  1.0441	116  1.0352	90  0.8031	89  0.7942	5390835002  0.8489
22  5	133  1.1869	138  1.2315	139  1.2404	138  1.2315	6765583620  1.0654
23  5	170  1.5170	165  1.4724	155  1.3832	156  1.3921	8498769442  1.3384
24  5	159  1.4189	164  1.4635	199  1.7758	201  1.7937	10602398413  1.6696
25 N 5	55  0.4908	55  0.4908	84  0.7496	77  0.6871	3790350430  0.5969
26  6	182  1.6241	181  1.6152	164  1.4635	172  1.5349	9966643603  1.5695
27  6	223  1.9900	227  2.0257	190  1.6955	193  1.7223	12109712021  1.9070
28  6	247  2.2042	244  2.1774	273  2.4362	270  2.4094	14729112069  2.3195
29  6	316  2.8199	314  2.8021	315  2.8110	313  2.7931	17910202521  2.8204
30 N 6	113  1.0084	101  0.9013	111  0.9905	107  0.9548	6534760658  1.0291
31  7	266  2.3737	266  2.3737	277  2.4719	281  2.5076	15075437352  2.3740
32  7	339  3.0252	331  2.9538	321  2.8645	322  2.8735	17958650211  2.8281
33  7	351  3.1323	357  3.1858	380  3.3910	382  3.4089	21361994439  3.3640
34  7	459  4.0960	475  4.2388	435  3.8818	446  3.9800	25528480621  4.0201
35 N 7	171  1.5260	177  1.5795	141  1.2583	148  1.3207	9154206125  1.4416
36  8	324  2.8913	321  2.8645	352  3.1412	352  3.1412	18791511418  2.9592
37  8	405  3.6141	413  3.6855	358  3.1947	353  3.1501	22088800625  3.4785
38  8	486  4.3370	482  4.3013	462  4.1228	458  4.0871	26002102208  4.0947
39  8	552  4.9259	534  4.7653	527  4.7028	529  4.7207	30496109913  4.8024
40 N 8	221  1.9722	228  2.0346	205  1.8294	204  1.8205	12173466153  1.9170
41  9	357  3.1858	356  3.1769	320  2.8556	316  2.8199	19155398988  3.0165
42  9	361  3.2215	372  3.3197	383  3.4178	372  3.3197	22679953280  3.5716
43  9	464  4.1406	446  3.9800	480  4.2834	482  4.3013	26645003052  4.1960
44  9	539  4.8099	540  4.8188	545  4.8635	536  4.7832	31116921638  4.9002
45 N 9	249  2.2220	239  2.1328	257  2.2934	260  2.3202	13776418529  2.1695
46  10	284  2.5344	289  2.5790	263  2.3470	261  2.3291	15678126613  2.4689
47  10	281  2.5076	287  2.5611	341  3.0430	353  3.1501	18845651711  2.9678
48  10	388  3.4624	384  3.4267	401  3.5784	405  3.6141	22346330376  3.5190
49  10	497  4.4351	495  4.4173	450  4.0157	451  4.0246	26213758053  4.1281
50 N 10	243  2.1685	257  2.2934	237  2.1149	232  2.0703	13730953401  2.1623
51  11	154  1.3743	150  1.3386	158  1.4100	147  1.3118	9697289588  1.5271
52  11	213  1.9008	209  1.8651	192  1.7134	188  1.6777	11914043914  1.8762
53  11	247  2.2042	251  2.2399	269  2.4005	273  2.4362	14305376462  2.2528
54  11	305  2.7218	303  2.7039	312  2.7842	322  2.8735	16882127404  2.6585
55 N 11	200  1.7848	208  1.8561	214  1.9097	221  1.9722	12637216524  1.9901
56  12	65  0.5800	65  0.5800	86  0.7674	85  0.7585	4042066459  0.6365
57  12	92  0.8210	90  0.8031	92  0.8210	97  0.8656	4996576787  0.7868
58  12	106  0.9459	103  0.9192	107  0.9548	108  0.9638	6084938998  0.9582
59  12	140  1.2493	134  1.1958	133  1.1869	130  1.1601	7241748711  1.1404
60 N 12	173  1.5438	174  1.5527	205  1.8294	193  1.7223	9797000990  1.5428
61  13	19  0.1696	19  0.1696	25  0.2231	24  0.2142	950467974  0.1497
62  13	12  0.1071	14  0.1249	26  0.2320	24  0.2142	1125576093  0.1773
63  13	23  0.2052	24  0.2142	24  0.2142	26  0.2320	1297292873  0.2043
64  13	18  0.1606	18  0.1606	25  0.2231	25  0.2231	1491113912  0.2348
65 N 13	70  0.6247	69  0.6157	94  0.8388	94  0.8388	4372449423  0.6886
U = 66	11206 39.9274	11206 39.9187	11206 40.2385	11206 40.2198	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  0.0089	1  0.0089	9447300  0.0015
3  1	0	0	0	0	21574362  0.0034
4  1	1  0.0089	1  0.0089	1  0.0089	1  0.0089	42527988  0.0067
5 N 1	1  0.0089	0	1  0.0089	1  0.0089	26388851  0.0042
6  2	2  0.0178	1  0.0089	2  0.0178	2  0.0178	84995416  0.0134
7  2	3  0.0268	3  0.0268	4  0.0357	4  0.0357	142224249  0.0224
8  2	4  0.0357	3  0.0268	6  0.0535	6  0.0535	231292299  0.0364
9  2	7  0.0625	8  0.0714	6  0.0535	7  0.0625	363266834  0.0572
10 N 2	3  0.0268	3  0.0268	2  0.0178	2  0.0178	127432564  0.0201
11  3	5  0.0446	6  0.0535	6  0.0535	7  0.0625	493076363  0.0776
12  3	19  0.1696	20  0.1785	13  0.1160	10  0.0892	693513539  0.1092
13  3	20  0.1785	24  0.2142	14  0.1249	16  0.1428	1000823292  0.1576
14  3	30  0.2677	25  0.2231	15  0.1339	17  0.1517	1395369165  0.2197
15 N 3	6  0.0535	9  0.0803	5  0.0446	6  0.0535	517057969  0.0814
16  4	30  0.2677	31  0.2766	27  0.2409	26  0.2320	1644254032  0.2589
17  4	48  0.4283	44  0.3926	39  0.3480	37  0.3302	2174377737  0.3424
18  4	53  0.4730	49  0.4373	49  0.4373	50  0.4462	2890268054  0.4552
19  4	73  0.6514	69  0.6157	75  0.6693	69  0.6157	3825111648  0.6024
20 N 4	26  0.2320	26  0.2320	24  0.2142	27  0.2409	1603391433  0.2525
21  5	82  0.7318	86  0.7674	68  0.6068	62  0.5533	3998705776  0.6297
22  5	93  0.8299	95  0.8478	101  0.9013	95  0.8478	5059967561  0.7968
23  5	111  0.9905	116  1.0352	113  1.0084	108  0.9638	6444920473  1.0149
24  5	135  1.2047	141  1.2583	154  1.3743	149  1.3296	8171172220  1.2868
25 N 5	74  0.6604	76  0.6782	80  0.7139	80  0.7139	3680646693  0.5796
26  6	153  1.3653	146  1.3029	134  1.1958	135  1.2047	7757580348  1.2216
27  6	174  1.5527	170  1.5170	150  1.3386	151  1.3475	9525027771  1.5000
28  6	228  2.0346	231  2.0614	216  1.9275	221  1.9722	11764658491  1.8527
29  6	249  2.2220	239  2.1328	268  2.3916	266  2.3737	14509280677  2.2849
30 N 6	111  0.9905	117  1.0441	95  0.8478	102  0.9102	6740920718  1.0615
31  7	210  1.8740	220  1.9632	212  1.8918	219  1.9543	12379732192  1.9495
32  7	257  2.2934	254  2.2666	250  2.2309	257  2.2934	14970987161  2.3576
33  7	294  2.6236	289  2.5790	330  2.9449	336  2.9984	18071185110  2.8458
34  7	384  3.4267	390  3.4803	384  3.4267	392  3.4981	21830271641  3.4378
35 N 7	201  1.7937	204  1.8205	202  1.8026	191  1.7044	11424585988  1.7991
36  8	280  2.4987	277  2.4719	321  2.8645	321  2.8645	16339498138  2.5731
37  8	360  3.2126	366  3.2661	319  2.8467	319  2.8467	19709383181  3.1038
38  8	451  4.0246	441  3.9354	431  3.8462	424  3.7837	23605758352  3.7174
39  8	521  4.6493	516  4.6047	490  4.3727	493  4.3994	28085928185  4.4229
40 N 8	291  2.5968	289  2.5790	264  2.3559	267  2.3827	16270929517  2.5623
41  9	330  2.9449	315  2.8110	265  2.3648	261  2.3291	17610462720  2.7732
42  9	364  3.2483	371  3.3107	387  3.4535	381  3.4000	21330730539  3.3591
43  9	452  4.0336	454  4.0514	465  4.1496	465  4.1496	25409571822  4.0014
44  9	545  4.8635	552  4.9259	514  4.5868	514  4.5868	30048695498  4.7320
45 N 9	345  3.0787	346  3.0876	369  3.2929	374  3.3375	20125215758  3.1693
46  10	253  2.2577	259  2.3113	262  2.3380	259  2.3113	15180947336  2.3906
47  10	307  2.7396	307  2.7396	326  2.9092	316  2.8199	18360372398  2.8913
48  10	374  3.3375	368  3.2840	410  3.6588	411  3.6677	21797024413  3.4325
49  10	449  4.0068	459  4.0960	422  3.7658	418  3.7301	25500986557  4.0158
50 N 10	411  3.6677	414  3.6944	397  3.5427	405  3.6141	22971290435  3.6174
51  11	173  1.5438	176  1.5706	169  1.5081	177  1.5795	10149896990  1.5984
52  11	202  1.8026	204  1.8205	211  1.8829	207  1.8472	12077115810  1.9019
53  11	246  2.1953	245  2.1863	260  2.3202	255  2.2756	14119413033  2.2235
54  11	261  2.3291	255  2.2756	284  2.5344	301  2.6861	16390731570  2.5812
55 N 11	386  3.4446	386  3.4446	413  3.6855	401  3.5784	22941283147  3.6127
56  12	92  0.8210	88  0.7853	94  0.8388	97  0.8656	5500720419  0.8662
57  12	108  0.9638	105  0.9370	109  0.9727	113  1.0084	6227026988  0.9806
58  12	132  1.1779	122  1.0887	128  1.1422	123  1.0976	7033151127  1.1076
59  12	163  1.4546	168  1.4992	139  1.2404	137  1.2226	7852931458  1.2367
60 N 12	323  2.8824	330  2.9449	334  2.9805	342  3.0519	17849476370  2.8109
61  13	34  0.3034	34  0.3034	51  0.4551	47  0.4194	2037906651  0.3209
62  13	37  0.3302	35  0.3123	48  0.4283	49  0.4373	2187019556  0.3444
63  13	42  0.3748	40  0.3570	41  0.3659	43  0.3837	2314542960  0.3645
64  13	37  0.3302	36  0.3213	34  0.3034	30  0.2677	2451437963  0.3860
65 N 13	150  1.3386	152  1.3564	202  1.8026	203  1.8115	9913593383  1.5612
U = 66	11206 41.8110	11206 41.8074	11206 42.1511	11206 42.1674	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	2132 19.0255	2126 18.9720	2109 18.8203	2106 18.7935	119358998783 18.7963
1 1	266  2.3737	266  2.3737	277  2.4719	281  2.5076	15075437352  2.3740
2 1	339  3.0252	331  2.9538	321  2.8645	322  2.8735	17958650211  2.8281
3 1	351  3.1323	357  3.1858	380  3.3910	382  3.4089	21361994439  3.3640
4 1	459  4.0960	475  4.2388	435  3.8818	446  3.9800	25528480621  4.0201
5 1 N	171  1.5260	177  1.5795	141  1.2583	148  1.3207	9154206126  1.4416
6 2	324  2.8913	321  2.8645	352  3.1412	352  3.1412	18791511418  2.9592
7 2	405  3.6141	413  3.6855	358  3.1947	353  3.1501	22088800625  3.4785
8 2	486  4.3370	482  4.3013	462  4.1228	458  4.0871	26002102208  4.0947
9 2	552  4.9259	534  4.7653	527  4.7028	529  4.7207	30496109913  4.8024
10 3	278  2.4808	275  2.4540	256  2.2845	257  2.2934	15168880833  2.3887
11 3	288  2.5701	289  2.5790	287  2.5611	286  2.5522	17647767441  2.7791
12 2 N	373  3.3286	392  3.4981	365  3.2572	349  3.1144	21192170146  3.3373
13 4	147  1.3118	150  1.3386	154  1.3743	153  1.3653	8352078922  1.3153
14 4	150  1.3386	160  1.4278	183  1.6331	191  1.7044	10306791805  1.6231
15 3	529  4.7207	509  4.5422	547  4.8813	547  4.8813	30412174290  4.7892
16 3	607  5.4167	600  5.3543	609  5.4346	605  5.3989	35369266210  5.5698
17 3 N	384  3.4267	382  3.4089	393  3.5070	396  3.5338	21621810315  3.4049
18 5	73  0.6514	73  0.6514	76  0.6782	76  0.6782	4918954504  0.7746
19 5	117  1.0441	118  1.0530	92  0.8210	97  0.8656	6307419874  0.9933
20 4	428  3.8194	426  3.8015	447  3.9889	445  3.9711	24619813919  3.8771
21 4	544  4.8545	539  4.8099	490  4.3727	486  4.3370	28756868129  4.5285
22 4 N	333  2.9716	339  3.0252	333  2.9716	319  2.8467	19299318906  3.0392
23 5	247  2.2042	251  2.2399	269  2.4005	273  2.4362	14305376462  2.2528
24 5	305  2.7218	303  2.7039	312  2.7842	322  2.8735	16882127404  2.6585
25 5 N	200  1.7848	208  1.8561	214  1.9097	221  1.9722	12637216524  1.9901
26 6	65  0.5800	65  0.5800	86  0.7674	85  0.7585	4042066459  0.6365
27 6	92  0.8210	90  0.8031	92  0.8210	97  0.8656	4996576787  0.7868
28 6	106  0.9459	103  0.9192	107  0.9548	108  0.9638	6084938998  0.9582
29 6	140  1.2493	134  1.1958	133  1.1869	130  1.1601	7241748711  1.1404
30 6 N	173  1.5438	174  1.5527	205  1.8294	193  1.7223	9797000990  1.5428
31 7	19  0.1696	19  0.1696	25  0.2231	24  0.2142	950467974  0.1497
32 7	12  0.1071	14  0.1249	26  0.2320	24  0.2142	1125576093  0.1773
33 7	23  0.2052	24  0.2142	24  0.2142	26  0.2320	1297292873  0.2043
34 7	18  0.1606	18  0.1606	25  0.2231	25  0.2231	1491113912  0.2348
35 7 N	70  0.6247	69  0.6157	94  0.8388	94  0.8388	4372449423  0.6886
U = 36	11206 11.3303	11206 11.3224	11206 11.5841	11206 11.5632	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  0.0180	0	1  0.0089
2 80	20  0.3608	8  0.1413	28  0.2499
3 90	174  3.1385	154  2.7199	328  2.9270
4 100	872 15.7287	872 15.4009	1744 15.5631
5 110	234  4.2208	242  4.2741	476  4.2477
6 120	229  4.1306	226  3.9915	455  4.0603
7 130	213  3.8420	214  3.7796	427  3.8105
8 140	600 10.8225	653 11.5330	1253 11.1815
10 300	292  5.2670	292  5.1572	584  5.2115
11 400	466  8.4055	438  7.7358	904  8.0671
12 420	652 11.7605	638 11.2681	1290 11.5117
13 430	335  6.0426	334  5.8990	669  5.9700
14 450	501  9.0368	532  9.3960	1033  9.2183
15 460	220  3.9683	227  4.0092	447  3.9889
16 500	24  0.4329	25  0.4415	49  0.4373
22 800	56  1.0101	54  0.9537	110  0.9816
23 920	119  2.1465	140  2.4726	259  2.3113
24 980	209  3.7698	210  3.7089	419  3.7391
25 990	185  3.3369	213  3.7619	398  3.5517
26 1100	4  0.0722	8  0.1413	12  0.1071
28 1400	6  0.1082	8  0.1413	14  0.1249
30 1440	23  0.4149	36  0.6358	59  0.5265
31 1510	39  0.7035	44  0.7771	83  0.7407
32 1520	70  1.2626	94  1.6602	164  1.4635
U = 25	5544 11.1526	5662 11.4624	11206 11.3091

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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  0.0180	0	1  0.0089
2 80	20  0.3608	8  0.1413	28  0.2499
3 90	174  3.1385	154  2.7199	328  2.9270
4 100	872 15.7287	0	872  7.7815
5 110	234  4.2208	576 10.1731	810  7.2283
6 120	229  4.1306	301  5.3161	530  4.7296
7 130	213  3.8420	272  4.8040	485  4.3280
8 140	600 10.8225	908 16.0367	1508 13.4571
9 200	0	150  2.6492	150  1.3386
10 300	292  5.2670	0	292  2.6057
11 400	0	520  9.1840	520  4.6404
12 420	0	784 13.8467	784  6.9963
13 430	0	352  6.2169	352  3.1412
14 450	0	568 10.0318	568  5.0687
15 460	0	228  4.0268	228  2.0346
16 500	484  8.7302	9  0.1590	493  4.3994
17 600	334  6.0245	0	334  2.9805
18 620	429  7.7381	0	429  3.8283
19 630	297  5.3571	0	297  2.6504
20 650	437  7.8824	0	437  3.8997
21 660	217  3.9141	0	217  1.9365
22 800	56  1.0101	25  0.4415	81  0.7228
23 920	0	166  2.9318	166  1.4813
24 980	0	230  4.0622	230  2.0525
25 990	0	217  3.8326	217  1.9365
26 1100	85  1.5332	4  0.0706	89  0.7942
27 1370	90  1.6234	0	90  0.8031
28 1400	85  1.5332	8  0.1413	93  0.8299
29 1430	105  1.8939	0	105  0.9370
30 1440	158  2.8499	40  0.7065	198  1.7669
31 1510	0	48  0.8478	48  0.4283
32 1520	0	94  1.6602	94  0.8388
33 1700	9  0.1623	0	9  0.0803
34 2000	7  0.1263	0	7  0.0625
35 2140	14  0.2525	0	14  0.1249
36 2210	32  0.5772	0	32  0.2856
37 2220	70  1.2626	0	70  0.6247
U = 38	5544 13.8337	5662 12.0521	11206 12.9335

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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  0.0180	0	1  0.0089
2 80	20  0.3608	8  0.1413	28  0.2499
3 90	174  3.1385	154  2.7199	328  2.9270
4 100	0	872 15.4009	872  7.7815
5 110	588 10.6061	242  4.2741	830  7.4067
6 120	324  5.8442	226  3.9915	550  4.9081
7 130	250  4.5094	214  3.7796	464  4.1406
8 140	842 15.1876	653 11.5330	1495 13.3411
9 200	144  2.5974	0	144  1.2850
10 300	0	292  5.1572	292  2.6057
11 400	541  9.7583	0	541  4.8278
12 420	816 14.7186	0	816  7.2818
13 430	352  6.3492	0	352  3.1412
14 450	531  9.5779	0	531  4.7385
15 460	220  3.9683	0	220  1.9632
16 500	6  0.1082	509  8.9898	515  4.5958
17 600	0	294  5.1925	294  2.6236
18 620	0	418  7.3826	418  3.7301
19 630	0	300  5.2985	300  2.6771
20 650	0	453  8.0007	453  4.0425
21 660	0	220  3.8856	220  1.9632
22 800	24  0.4329	54  0.9537	78  0.6961
23 920	146  2.6335	0	146  1.3029
24 980	233  4.2027	0	233  2.0792
25 990	188  3.3911	0	188  1.6777
26 1100	2  0.0361	94  1.6602	96  0.8567
27 1370	0	111  1.9604	111  0.9905
28 1400	4  0.0722	73  1.2893	77  0.6871
29 1430	0	120  2.1194	120  1.0709
30 1440	28  0.5051	181  3.1968	209  1.8651
31 1510	40  0.7215	0	40  0.3570
32 1520	70  1.2626	0	70  0.6247
33 1700	0	13  0.2296	13  0.1160
34 2000	0	9  0.1590	9  0.0803
35 2140	0	17  0.3002	17  0.1517
36 2210	0	41  0.7241	41  0.3659
37 2220	0	94  1.6602	94  0.8388
U = 38	5544 11.7316	5662 14.1446	11206 12.9508

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Par Both vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	1  0.0180	0	1  0.0089
2 80	20  0.3608	8  0.1413	28  0.2499
3 90	174  3.1385	154  2.7199	328  2.9270
5 110	588 10.6061	576 10.1731	1164 10.3873
6 120	324  5.8442	301  5.3161	625  5.5774
7 130	250  4.5094	272  4.8040	522  4.6582
8 140	842 15.1876	908 16.0367	1750 15.6166
9 200	144  2.5974	150  2.6492	294  2.6236
16 500	292  5.2670	292  5.1572	584  5.2115
17 600	466  8.4055	438  7.7358	904  8.0671
18 620	652 11.7605	638 11.2681	1290 11.5117
19 630	335  6.0426	334  5.8990	669  5.9700
20 650	501  9.0368	532  9.3960	1033  9.2183
21 660	220  3.9683	227  4.0092	447  3.9889
22 800	24  0.4329	25  0.4415	49  0.4373
26 1100	56  1.0101	54  0.9537	110  0.9816
27 1370	119  2.1465	140  2.4726	259  2.3113
28 1400	56  1.0101	65  1.1480	121  1.0798
29 1430	164  2.9582	165  2.9142	329  2.9359
30 1440	178  3.2107	201  3.5500	379  3.3821
33 1700	6  0.1082	8  0.1413	14  0.1249
34 2000	9  0.1623	13  0.2296	22  0.1963
35 2140	17  0.3066	24  0.4239	41  0.3659
36 2210	36  0.6494	43  0.7594	79  0.7050
37 2220	70  1.2626	94  1.6602	164  1.4635
U = 26	5544 14.8647	5662 15.1851	11206 15.0266

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LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1689	1  0.0845	0	0
13	115  9.7128	92  7.7703	104  8.7838	78  6.5878
14	568 47.9730	536 45.2703	573 48.3953	548 46.2838
15	419 35.3885	462 39.0203	423 35.7264	460 38.8514
16	76  6.4189	89  7.5169	80  6.7568	94  7.9392
17	3  0.2534	3  0.2534	3  0.2534	3  0.2534
18	0	0	0	0
19	0	0	0	0
20	1  0.0845	1  0.0845	1  0.0845	1  0.0845
U = 9	1184 14.3944	1184 14.4738	1184 14.4172	1184 14.4941

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	2  0.1681	2  0.1681	0	0
13	15  1.2605	13  1.0924	13  1.0924	9  0.7563
14	170 14.2857	140 11.7647	175 14.7059	144 12.1008
15	585 49.1597	582 48.9076	582 48.9076	584 49.0756
16	357 30.0000	384 32.2689	358 30.0840	383 32.1849
17	57  4.7899	65  5.4622	58  4.8739	66  5.5462
18	4  0.3361	4  0.3361	4  0.3361	4  0.3361
U = 7	1190 15.2328	1190 15.2975	1190 15.2395	1190 15.3067

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	3  0.1008	3  0.1008	0	0
13	17  0.5712	15  0.5040	4  0.1344	2  0.0672
14	115  3.8642	99  3.3266	89  2.9906	68  2.2849
15	631 21.2030	588 19.7581	618 20.7661	578 19.4220
16	1244 41.8011	1241 41.7003	1285 43.1788	1269 42.6411
17	755 25.3696	797 26.7809	763 25.6384	820 27.5538
18	182  6.1156	200  6.7204	185  6.2164	206  6.9220
19	25  0.8401	28  0.9409	29  0.9745	28  0.9409
20	3  0.1008	4  0.1344	2  0.0672	4  0.1344
21	0	0	0	0
22	1  0.0336	1  0.0336	1  0.0336	1  0.0336
U = 11	2976 16.0968	2976 16.1546	2976 16.1431	2976 16.2077

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0379	1  0.0379	0	0
11	0	0	0	0
12	0	0	0	0
13	4  0.1514	3  0.1136	1  0.0379	1  0.0379
14	16  0.6056	13  0.4921	7  0.2650	6  0.2271
15	136  5.1476	117  4.4285	122  4.6177	103  3.8986
16	573 21.6881	546 20.6662	573 21.6881	533 20.1741
17	1042 39.4398	1046 39.5912	1057 40.0076	1068 40.4239
18	668 25.2839	695 26.3058	680 25.7381	705 26.6843
19	182  6.8887	199  7.5322	181  6.8509	203  7.6836
20	20  0.7570	22  0.8327	21  0.7949	23  0.8706
U = 11	2642 17.0666	2642 17.1215	2642 17.0995	2642 17.1586

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	11  0.6444	9  0.5272	8  0.4687	7  0.4101
16	120  7.0299	109  6.3855	108  6.3269	99  5.7996
17	413 24.1945	401 23.4915	403 23.6087	385 22.5542
18	638 37.3755	636 37.2583	642 37.6098	639 37.4341
19	364 21.3240	374 21.9098	381 22.3199	393 23.0228
20	129  7.5571	143  8.3773	130  7.6157	148  8.6702
21	30  1.7575	31  1.8161	32  1.8746	30  1.7575
22	1  0.0586	3  0.1757	2  0.1172	5  0.2929
23	1  0.0586	1  0.0586	1  0.0586	1  0.0586
U = 9	1707 18.0205	1707 18.0726	1707 18.0627	1707 18.1172

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
16	13  1.3013	10  1.0010	13  1.3013	10  1.0010
17	129 12.9129	125 12.5125	109 10.9109	106 10.6106
18	272 27.2272	264 26.4264	281 28.1281	267 26.7267
19	320 32.0320	319 31.9319	315 31.5315	323 32.3323
20	205 20.5205	217 21.7217	217 21.7217	226 22.6226
21	53  5.3053	54  5.4054	56  5.6056	57  5.7057
22	6  0.6006	9  0.9009	7  0.7007	9  0.9009
23	1  0.1001	1  0.1001	1  0.1001	1  0.1001
U = 8	999 18.7638	999 18.8118	999 18.8158	999 18.8619

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	14  3.9106	14  3.9106	9  2.5140	9  2.5140
18	66 18.4358	64 17.8771	61 17.0391	60 16.7598
19	99 27.6536	97 27.0950	104 29.0503	101 28.2123
20	111 31.0056	107 29.8883	112 31.2849	108 30.1676
21	50 13.9665	52 14.5251	51 14.2458	54 15.0838
22	15  4.1899	19  5.3073	18  5.0279	20  5.5866
23	3  0.8380	5  1.3966	3  0.8380	6  1.6760
U = 7	358 19.4860	358 19.5475	358 19.5615	358 19.6201

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	1  0.8333	0	0	0
18	12 10.0000	12 10.0000	10  8.3333	10  8.3333
19	25 20.8333	25 20.8333	26 21.6667	25 20.8333
20	39 32.5000	40 33.3333	41 34.1667	41 34.1667
21	25 20.8333	23 19.1667	25 20.8333	23 19.1667
22	16 13.3333	17 14.1667	15 12.5000	17 14.1667
23	2  1.6667	3  2.5000	2  1.6667	3  2.5000
24	0	0	1  0.8333	1  0.8333
U = 8	120 20.0917	120 20.1417	120 20.1583	120 20.2083

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LoTT 22 trumps

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

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LoTT 23 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
20	2 40.0000	1 20.0000	2 40.0000	1 20.0000
21	2 40.0000	3 60.0000	2 40.0000	3 60.0000
22	1 20.0000	1 20.0000	1 20.0000	1 20.0000
U = 3	5 20.8000	5 21.0000	5 20.8000	5 21.0000

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LoTT 24 trumps

No data available

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LoTT 25 trumps

No data available

Double-dummy stats for 11,206 deals

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© 2019 Richard Pavlicek