Main   Stats 8H30 by Richard Pavlicek  

RP BBO Matches

Double-dummy stats for 32,318 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	976  3.0200	969  2.9983	916  2.8343	918  2.8405	9913593383  1.5612
1	1237  3.8276	1232  3.8121	1137  3.5182	1145  3.5429	23145762677  3.6449
2	1928  5.9657	1946  6.0214	1797  5.5604	1792  5.5449	37977932067  5.9806
3	2701  8.3576	2715  8.4009	2595  8.0296	2592  8.0203	52871069846  8.3260
4	3475 10.7525	3446 10.6628	3365 10.4122	3364 10.4091	67524194742 10.6335
5	3952 12.2285	3920 12.1295	4008 12.4018	3992 12.3522	80101714628 12.6142
6	4481 13.8653	4467 13.8220	4643 14.3666	4657 14.4099	90730441332 14.2880
7	4230 13.0887	4241 13.1227	4121 12.7514	4148 12.8350	84402158672 13.2914
8	3592 11.1145	3629 11.2290	3538 10.9475	3547 10.9753	71237104568 11.2182
9	2406  7.4448	2407  7.4479	2500  7.7356	2509  7.7635	47702049563  7.5120
10	1582  4.8951	1591  4.9230	1710  5.2912	1682  5.2045	32569065440  5.1289
11	933  2.8869	930  2.8777	1058  3.2737	1053  3.2582	20600866092  3.2442
12	590  1.8256	593  1.8349	663  2.0515	652  2.0175	11865157167  1.8685
13	235  0.7271	232  0.7179	267  0.8262	267  0.8262	4372449423  0.6886
U = 14	32318  5.8778	32318  5.8824	32318  5.9933	32318  5.9890	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	765  2.3671	771  2.3857	741  2.2928	736  2.2774	6949893015  1.0944
1	929  2.8746	920  2.8467	855  2.6456	865  2.6765	17646817412  2.7790
2	1737  5.3747	1723  5.3314	1601  4.9539	1597  4.9415	32992452829  5.1956
3	2503  7.7449	2509  7.7635	2496  7.7233	2495  7.7202	50476652542  7.9489
4	3391 10.4926	3424 10.5947	3232 10.0006	3240 10.0254	66372975438 10.4522
5	3969 12.2811	3956 12.2409	4008 12.4018	4000 12.3770	77821925315 12.2552
6	4162 12.8783	4126 12.7669	4123 12.7576	4122 12.7545	82551854345 13.0000
7	4061 12.5658	4047 12.5224	3990 12.3461	3998 12.3708	80760822737 12.7180
8	3652 11.3002	3695 11.4333	3774 11.6777	3771 11.6684	73465633954 11.5691
9	2907  8.9950	2909  9.0012	3060  9.4684	3062  9.4746	60489162482  9.5256
10	2213  6.8476	2206  6.8259	2218  6.8630	2207  6.8290	43661750688  6.8757
11	1260  3.8988	1271  3.9328	1404  4.3443	1411  4.3660	26377787548  4.1539
12	615  1.9030	607  1.8782	634  1.9618	630  1.9494	12128527136  1.9100
13	154  0.4765	154  0.4765	182  0.5632	184  0.5693	3317304159  0.5224
U = 14	32318  6.1721	32318  6.1737	32318  6.2662	32318  6.2656	635013559600  6.2957

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Heart make = hm

Value	North	South	West	East	Empirical
0	799  2.4723	793  2.4537	763  2.3609	758  2.3454	6949893015  1.0944
1	908  2.8096	920  2.8467	879  2.7198	879  2.7198	17646817412  2.7790
2	1696  5.2478	1679  5.1952	1592  4.9260	1582  4.8951	32992452829  5.1956
3	2582  7.9894	2589  8.0110	2505  7.7511	2510  7.7666	50476652542  7.9489
4	3369 10.4245	3358 10.3905	3365 10.4122	3351 10.3688	66372975438 10.4522
5	3971 12.2873	3984 12.3275	3904 12.0800	3897 12.0583	77821925315 12.2552
6	4073 12.6029	4054 12.5441	4057 12.5534	4090 12.6555	82551854345 13.0000
7	4026 12.4575	4031 12.4729	3985 12.3306	4014 12.4203	80760822737 12.7180
8	3633 11.2414	3657 11.3157	3781 11.6994	3758 11.6282	73465633954 11.5691
9	3059  9.4653	3040  9.4065	3074  9.5117	3090  9.5612	60489162482  9.5256
10	2139  6.6186	2150  6.6526	2219  6.8661	2217  6.8600	43661750688  6.8757
11	1269  3.9266	1272  3.9359	1343  4.1556	1330  4.1154	26377787548  4.1539
12	621  1.9215	617  1.9092	661  2.0453	650  2.0113	12128527136  1.9100
13	173  0.5353	174  0.5384	190  0.5879	192  0.5941	3317304159  0.5224
U = 14	32318  6.1774	32318  6.1796	32318  6.2527	32318  6.2526	635013559600  6.2957

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Diamond make = dm

Value	North	South	West	East	Empirical
0	809  2.5032	811  2.5094	719  2.2248	725  2.2433	6949893015  1.0944
1	917  2.8374	907  2.8065	891  2.7570	882  2.7291	17646817412  2.7790
2	1681  5.2014	1683  5.2076	1586  4.9075	1582  4.8951	32992452829  5.1956
3	2634  8.1503	2608  8.0698	2433  7.5283	2453  7.5902	50476652542  7.9489
4	3291 10.1832	3333 10.3131	3323 10.2822	3313 10.2513	66372975438 10.4522
5	3821 11.8231	3819 11.8169	4022 12.4451	4018 12.4327	77821925315 12.2552
6	4164 12.8845	4150 12.8411	4166 12.8906	4127 12.7700	82551854345 13.0000
7	4141 12.8133	4121 12.7514	4020 12.4389	4065 12.5781	80760822737 12.7180
8	3774 11.6777	3775 11.6808	3621 11.2043	3647 11.2847	73465633954 11.5691
9	3006  9.3013	3033  9.3849	3074  9.5117	3036  9.3941	60489162482  9.5256
10	2058  6.3680	2057  6.3649	2256  6.9806	2256  6.9806	43661750688  6.8757
11	1264  3.9111	1259  3.8957	1354  4.1896	1354  4.1896	26377787548  4.1539
12	610  1.8875	612  1.8937	652  2.0175	660  2.0422	12128527136  1.9100
13	148  0.4579	150  0.4641	201  0.6219	200  0.6189	3317304159  0.5224
U = 14	32318  6.1698	32318  6.1724	32318  6.2635	32318  6.2639	635013559600  6.2957

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Club make = cm

Value	North	South	West	East	Empirical
0	796  2.4630	802  2.4816	777  2.4042	775  2.3980	6949893015  1.0944
1	980  3.0324	958  2.9643	823  2.5466	819  2.5342	17646817412  2.7790
2	1678  5.1922	1693  5.2386	1615  4.9972	1619  5.0096	32992452829  5.1956
3	2432  7.5252	2453  7.5902	2481  7.6768	2499  7.7325	50476652542  7.9489
4	3413 10.5607	3408 10.5452	3285 10.1646	3260 10.0873	66372975438 10.4522
5	4064 12.5750	4053 12.5410	3836 11.8695	3823 11.8293	77821925315 12.2552
6	4106 12.7050	4088 12.6493	4104 12.6988	4145 12.8257	82551854345 13.0000
7	4141 12.8133	4131 12.7824	4116 12.7359	4090 12.6555	80760822737 12.7180
8	3559 11.0124	3559 11.0124	3831 11.8541	3826 11.8386	73465633954 11.5691
9	2965  9.1745	2985  9.2363	3036  9.3941	3051  9.4406	60489162482  9.5256
10	2153  6.6619	2153  6.6619	2177  6.7362	2199  6.8043	43661750688  6.8757
11	1258  3.8926	1274  3.9421	1345  4.1618	1323  4.0937	26377787548  4.1539
12	606  1.8751	596  1.8442	685  2.1196	684  2.1165	12128527136  1.9100
13	167  0.5167	165  0.5106	207  0.6405	205  0.6343	3317304159  0.5224
U = 14	32318  6.1636	32318  6.1645	32318  6.2720	32318  6.2718	635013559600  6.2957

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Longest fit = lf

Value	North	South	West	East	Theoretical
7	5028 15.7553	5028 15.7553	5054 15.8368	5054 15.8368	13006498437504 15.7363
8	14615 45.7964	14615 45.7964	14665 45.9531	14665 45.9531	37809373653909 45.7447
9	8968 28.1014	8968 28.1014	8991 28.1735	8991 28.1735	23225440992325 28.0999
10	2752  8.6234	2752  8.6234	2641  8.2756	2641  8.2756	7168401039800  8.6729
11	505  1.5824	505  1.5824	499  1.5636	499  1.5636	1307227435020  1.5816
12	43  0.1347	43  0.1347	61  0.1911	61  0.1911	130732315831  0.1582
13	2  0.0063	2  0.0063	2  0.0063	2  0.0063	5414950295  0.0066
U = 7	31913  8.3491	31913  8.3491	31913  8.3437	31913  8.3437	82653088824684  8.3512

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Longest fit make = lm

Value	North	South	West	East	Empirical
0	408  1.2625	408  1.2625	407  1.2594	407  1.2594	22876394  0.0036
1	11  0.0340	13  0.0402	10  0.0309	10  0.0309	251246691  0.0396
2	93  0.2878	90  0.2785	86  0.2661	88  0.2723	1556124656  0.2451
3	303  0.9376	301  0.9314	281  0.8695	281  0.8695	5892722789  0.9280
4	845  2.6146	856  2.6487	795  2.4599	786  2.4321	16409883547  2.5842
5	1925  5.9564	1933  5.9812	1807  5.5913	1808  5.5944	35643298455  5.6130
6	3114  9.6355	3057  9.4591	3013  9.3230	3020  9.3446	62031256233  9.7685
7	4643 14.3666	4656 14.4068	4431 13.7106	4443 13.7478	89999744190 14.1729
8	5538 17.1360	5544 17.1545	5525 17.0957	5516 17.0679	110099842849 17.3382
9	5636 17.4392	5644 17.4640	5722 17.7053	5715 17.6836	113173167471 17.8222
10	4749 14.6946	4780 14.7905	4805 14.8679	4833 14.9545	95919764225 15.1052
11	3081  9.5334	3074  9.5117	3256 10.0749	3232 10.0006	64150449024 10.1022
12	1551  4.7992	1538  4.7590	1661  5.1396	1660  5.1365	31112561346  4.8995
13	421  1.3027	424  1.3120	519  1.6059	519  1.6059	8750621730  1.3780
U = 14	32318  8.2242	32318  8.2260	32318  8.3105	32318  8.3095	635013559600  8.3753

Top     Main

Best fit = bf

Value	North	South	West	East	Empirical
5	2  0.0063	2  0.0063	2  0.0063	2  0.0063	10461673  0.0016
6	61  0.1911	52  0.1629	56  0.1755	57  0.1786	1222077835  0.1924
7	5303 16.6171	5310 16.6390	5320 16.6703	5325 16.6860	105351212255 16.5904
8	14477 45.3640	14472 45.3483	14517 45.4893	14510 45.4674	287234089436 45.2327
9	8784 27.5248	8796 27.5624	8841 27.7034	8840 27.7003	175437245133 27.6273
10	2741  8.5890	2736  8.5733	2619  8.2067	2621  8.2130	54701014789  8.6141
11	500  1.5668	500  1.5668	495  1.5511	495  1.5511	10008187498  1.5761
12	43  0.1347	43  0.1347	61  0.1911	61  0.1911	1006364496  0.1585
13	2  0.0063	2  0.0063	2  0.0063	2  0.0063	42906485  0.0068
U = 9	31913  8.3296	31913  8.3300	31913  8.3253	31913  8.3251	635013559600  8.3327

Top     Main

Best fit make = bm

Value	North	South	West	East	Empirical
0	406  1.2563	406  1.2563	405  1.2532	405  1.2532	1513990  0.0002
1	10  0.0309	11  0.0340	7  0.0217	7  0.0217	132231913  0.0208
2	85  0.2630	83  0.2568	72  0.2228	72  0.2228	1339624042  0.2110
3	289  0.8942	287  0.8881	280  0.8664	282  0.8726	5671089748  0.8931
4	819  2.5342	825  2.5528	778  2.4073	765  2.3671	16177592015  2.5476
5	1918  5.9348	1930  5.9719	1800  5.5697	1808  5.5944	35415185536  5.5771
6	3100  9.5922	3050  9.4375	2983  9.2302	2985  9.2363	61775936908  9.7283
7	4626 14.3140	4642 14.3635	4421 13.6797	4437 13.7292	89711329037 14.1275
8	5530 17.1112	5523 17.0895	5524 17.0926	5508 17.0431	109962826727 17.3166
9	5663 17.5227	5671 17.5475	5717 17.6898	5719 17.6960	113305081446 17.8429
10	4749 14.6946	4792 14.8277	4836 14.9638	4853 15.0164	96187452851 15.1473
11	3093  9.5705	3081  9.5334	3262 10.0934	3244 10.0377	64547826059 10.1648
12	1592  4.9260	1576  4.8765	1698  5.2540	1697  5.2509	31646530587  4.9836
13	438  1.3553	441  1.3646	535  1.6554	536  1.6585	9139338741  1.4392
U = 14	32318  8.2435	32318  8.2450	32318  8.3287	32318  8.3281	635013559600  8.3938

Top     Main

Highest make = H

Value	North	South	West	East	Empirical
0 —	406  1.2563	406  1.2563	405  1.2532	405  1.2532	1513990  0.0002
1  1	0	0	0	0	4027214  0.0006
2  1	2  0.0062	3  0.0093	1  0.0031	1  0.0031	11612306  0.0018
3  1	2  0.0062	2  0.0062	1  0.0031	1  0.0031	25874094  0.0041
4  1	4  0.0124	4  0.0124	3  0.0093	3  0.0093	53231899  0.0084
5 N 1	2  0.0062	2  0.0062	2  0.0062	2  0.0062	36956503  0.0058
6  2	4  0.0124	4  0.0124	7  0.0217	8  0.0248	120316810  0.0189
7  2	11  0.0340	10  0.0309	14  0.0433	13  0.0402	198635528  0.0313
8  2	26  0.0805	27  0.0835	23  0.0712	23  0.0712	326628269  0.0514
9  2	31  0.0959	31  0.0959	21  0.0650	22  0.0681	500918833  0.0789
10 N 2	12  0.0371	10  0.0309	7  0.0217	6  0.0186	185145875  0.0292
11  3	33  0.1021	30  0.0928	31  0.0959	32  0.0990	708986520  0.1116
12  3	57  0.1764	60  0.1857	58  0.1795	58  0.1795	998658286  0.1573
13  3	72  0.2228	67  0.2073	71  0.2197	71  0.2197	1395338886  0.2197
14  3	93  0.2878	95  0.2940	87  0.2692	88  0.2723	1910125869  0.3008
15 N 3	32  0.0990	33  0.1021	31  0.0959	32  0.0990	600509115  0.0946
16  4	128  0.3961	134  0.4146	107  0.3311	105  0.3249	2289229042  0.3605
17  4	148  0.4579	145  0.4487	152  0.4703	152  0.4703	2994612265  0.4716
18  4	181  0.5601	183  0.5662	188  0.5817	183  0.5662	3903975403  0.6148
19  4	266  0.8231	272  0.8416	241  0.7457	239  0.7395	5081012026  0.8001
20 N 4	88  0.2723	81  0.2506	78  0.2414	77  0.2383	1713322270  0.2698
21  5	335  1.0366	322  0.9963	267  0.8262	267  0.8262	5390835002  0.8489
22  5	395  1.2222	398  1.2315	344  1.0644	340  1.0520	6765583620  1.0654
23  5	458  1.4172	469  1.4512	427  1.3212	434  1.3429	8498769442  1.3384
24  5	526  1.6276	528  1.6338	548  1.6956	554  1.7142	10602398413  1.6696
25 N 5	186  0.5755	198  0.6127	198  0.6127	193  0.5972	3790350430  0.5969
26  6	512  1.5843	508  1.5719	457  1.4141	462  1.4295	9966643603  1.5695
27  6	638  1.9741	626  1.9370	568  1.7575	567  1.7544	12109712021  1.9070
28  6	730  2.2588	719  2.2248	735  2.2743	729  2.2557	14729112069  2.3195
29  6	893  2.7632	881  2.7260	892  2.7601	898  2.7786	17910202521  2.8204
30 N 6	298  0.9221	284  0.8788	302  0.9345	301  0.9314	6534760658  1.0291
31  7	815  2.5218	817  2.5280	798  2.4692	813  2.5156	15075437352  2.3740
32  7	966  2.9890	960  2.9705	899  2.7817	889  2.7508	17958650211  2.8281
33  7	1048  3.2428	1057  3.2706	1005  3.1097	1006  3.1128	21361994439  3.3640
34  7	1269  3.9266	1284  3.9730	1249  3.8647	1246  3.8554	25528480621  4.0201
35 N 7	480  1.4852	482  1.4914	448  1.3862	454  1.4048	9154206125  1.4416
36  8	930  2.8777	925  2.8622	995  3.0788	986  3.0509	18791511418  2.9592
37  8	1108  3.4284	1124  3.4779	1030  3.1871	1043  3.2273	22088800625  3.4785
38  8	1336  4.1339	1343  4.1556	1343  4.1556	1327  4.1061	26002102208  4.0947
39  8	1513  4.6816	1493  4.6197	1544  4.7775	1551  4.7992	30496109913  4.8024
40 N 8	637  1.9710	634  1.9618	576  1.7823	570  1.7637	12173466153  1.9170
41  9	991  3.0664	983  3.0416	926  2.8653	944  2.9210	19155398988  3.0165
42  9	1070  3.3108	1098  3.3975	1174  3.6327	1162  3.5955	22679953280  3.5716
43  9	1377  4.2608	1361  4.2113	1357  4.1989	1366  4.2267	26645003052  4.1960
44  9	1530  4.7342	1540  4.7651	1554  4.8085	1545  4.7806	31116921638  4.9002
45 N 9	683  2.1134	687  2.1258	726  2.2464	723  2.2371	13776418529  2.1695
46  10	794  2.4568	807  2.4971	772  2.3888	772  2.3888	15678126613  2.4689
47  10	907  2.8065	904  2.7972	982  3.0386	990  3.0633	18845651711  2.9678
48  10	1059  3.2768	1069  3.3078	1113  3.4439	1132  3.5027	22346330376  3.5190
49  10	1354  4.1896	1344  4.1587	1294  4.0040	1310  4.0535	26213758053  4.1281
50 N 10	692  2.1412	702  2.1722	707  2.1876	679  2.1010	13730953401  2.1623
51  11	460  1.4234	453  1.4017	477  1.4760	456  1.4110	9697289588  1.5271
52  11	574  1.7761	563  1.7421	579  1.7916	583  1.8039	11914043914  1.8762
53  11	693  2.1443	688  2.1288	710  2.1969	708  2.1907	14305376462  2.2528
54  11	832  2.5744	846  2.6177	912  2.8220	908  2.8096	16882127404  2.6585
55 N 11	573  1.7730	573  1.7730	624  1.9308	629  1.9463	12637216524  1.9901
56  12	204  0.6312	198  0.6127	227  0.7024	231  0.7148	4042066459  0.6365
57  12	233  0.7210	237  0.7333	253  0.7828	262  0.8107	4996576787  0.7868
58  12	322  0.9963	319  0.9871	323  0.9994	323  0.9994	6084938998  0.9582
59  12	355  1.0985	346  1.0706	359  1.1108	357  1.1046	7241748711  1.1404
60 N 12	497  1.5378	503  1.5564	551  1.7049	545  1.6864	9797000990  1.5428
61  13	40  0.1238	37  0.1145	64  0.1980	64  0.1980	950467974  0.1497
62  13	44  0.1361	46  0.1423	60  0.1857	58  0.1795	1125576093  0.1773
63  13	58  0.1795	61  0.1887	75  0.2321	76  0.2352	1297292873  0.2043
64  13	70  0.2166	70  0.2166	79  0.2444	77  0.2383	1491113912  0.2348
65 N 13	235  0.7271	232  0.7179	267  0.8262	267  0.8262	4372449423  0.6886
U = 66	32318 39.3558	32318 39.3622	32318 39.7906	32318 39.7849	635013559600 40.0915

Top     Main

On-lead highest make = O

Value	North	South	West	East	Empirical
0 —	1  0.0031	1  0.0031	0	0	1241472  0.0002
1  1	0	0	0	0	3239939  0.0005
2  1	2  0.0062	2  0.0062	1  0.0031	1  0.0031	9447300  0.0015
3  1	2  0.0062	2  0.0062	1  0.0031	1  0.0031	21574362  0.0034
4  1	4  0.0124	4  0.0124	2  0.0062	2  0.0062	42527988  0.0067
5 N 1	2  0.0062	1  0.0031	3  0.0093	3  0.0093	26388851  0.0042
6  2	4  0.0124	3  0.0093	4  0.0124	4  0.0124	84995416  0.0134
7  2	6  0.0186	9  0.0278	10  0.0309	8  0.0248	142224249  0.0224
8  2	15  0.0464	14  0.0433	19  0.0588	18  0.0557	231292299  0.0364
9  2	22  0.0681	23  0.0712	16  0.0495	18  0.0557	363266834  0.0572
10 N 2	8  0.0248	6  0.0186	7  0.0217	7  0.0217	127432564  0.0201
11  3	23  0.0712	24  0.0743	22  0.0681	23  0.0712	493076363  0.0776
12  3	49  0.1516	47  0.1454	35  0.1083	33  0.1021	693513539  0.1092
13  3	53  0.1640	58  0.1795	47  0.1454	49  0.1516	1000823292  0.1576
14  3	76  0.2352	72  0.2228	53  0.1640	63  0.1949	1395369165  0.2197
15 N 3	23  0.0712	29  0.0897	20  0.0619	22  0.0681	517057969  0.0814
16  4	81  0.2506	79  0.2444	81  0.2506	77  0.2383	1644254032  0.2589
17  4	113  0.3497	112  0.3466	112  0.3466	118  0.3651	2174377737  0.3424
18  4	139  0.4301	145  0.4487	139  0.4301	144  0.4456	2890268054  0.4552
19  4	203  0.6281	187  0.5786	195  0.6034	177  0.5477	3825111648  0.6024
20 N 4	77  0.2383	69  0.2135	69  0.2135	77  0.2383	1603391433  0.2525
21  5	230  0.7117	232  0.7179	199  0.6158	185  0.5724	3998705776  0.6297
22  5	260  0.8045	278  0.8602	251  0.7767	245  0.7581	5059967561  0.7968
23  5	339  1.0490	335  1.0366	318  0.9840	308  0.9530	6444920473  1.0149
24  5	432  1.3367	435  1.3460	417  1.2903	403  1.2470	8171172220  1.2868
25 N 5	215  0.6653	212  0.6560	191  0.5910	201  0.6219	3680646693  0.5796
26  6	420  1.2996	412  1.2748	360  1.1139	373  1.1542	7757580348  1.2216
27  6	505  1.5626	496  1.5347	456  1.4110	454  1.4048	9525027771  1.5000
28  6	624  1.9308	640  1.9803	589  1.8225	602  1.8627	11764658491  1.8527
29  6	711  2.2000	708  2.1907	743  2.2990	736  2.2774	14509280677  2.2849
30 N 6	302  0.9345	318  0.9840	281  0.8695	287  0.8881	6740920718  1.0615
31  7	653  2.0205	659  2.0391	632  1.9556	631  1.9525	12379732192  1.9495
32  7	802  2.4816	790  2.4445	690  2.1350	702  2.1722	14970987161  2.3576
33  7	854  2.6425	873  2.7013	893  2.7632	892  2.7601	18071185110  2.8458
34  7	1078  3.3356	1067  3.3016	1091  3.3758	1091  3.3758	21830271641  3.4378
35 N 7	561  1.7359	556  1.7204	568  1.7575	561  1.7359	11424585988  1.7991
36  8	854  2.6425	842  2.6054	871  2.6951	872  2.6982	16339498138  2.5731
37  8	985  3.0478	987  3.0540	955  2.9550	958  2.9643	19709383181  3.1038
38  8	1253  3.8771	1238  3.8307	1220  3.7750	1216  3.7626	23605758352  3.7174
39  8	1438  4.4495	1435  4.4403	1400  4.3320	1407  4.3536	28085928185  4.4229
40 N 8	818  2.5311	837  2.5899	793  2.4537	800  2.4754	16270929517  2.5623
41  9	897  2.7755	886  2.7415	868  2.6858	868  2.6858	17610462720  2.7732
42  9	1049  3.2459	1059  3.2768	1072  3.3170	1041  3.2211	21330730539  3.3591
43  9	1335  4.1308	1313  4.0628	1310  4.0535	1312  4.0597	25409571822  4.0014
44  9	1471  4.5516	1494  4.6228	1507  4.6630	1493  4.6197	30048695498  4.7320
45 N 9	996  3.0819	1008  3.1190	1028  3.1809	1044  3.2304	20125215758  3.1693
46  10	730  2.2588	729  2.2557	747  2.3114	752  2.3269	15180947336  2.3906
47  10	911  2.8189	920  2.8467	940  2.9086	943  2.9179	18360372398  2.8913
48  10	1097  3.3944	1092  3.3789	1115  3.4501	1116  3.4532	21797024413  3.4325
49  10	1255  3.8833	1245  3.8523	1218  3.7688	1221  3.7781	25500986557  4.0158
50 N 10	1143  3.5367	1150  3.5584	1200  3.7131	1189  3.6791	22971290435  3.6174
51  11	514  1.5904	521  1.6121	508  1.5719	503  1.5564	10149896990  1.5984
52  11	584  1.8070	586  1.8132	609  1.8844	599  1.8535	12077115810  1.9019
53  11	686  2.1227	684  2.1165	705  2.1814	705  2.1814	14119413033  2.2235
54  11	798  2.4692	795  2.4599	839  2.5961	863  2.6703	16390731570  2.5812
55 N 11	1110  3.4346	1109  3.4315	1150  3.5584	1132  3.5027	22941283147  3.6127
56  12	239  0.7395	234  0.7241	306  0.9468	316  0.9778	5500720419  0.8662
57  12	318  0.9840	306  0.9468	311  0.9623	317  0.9809	6227026988  0.9806
58  12	362  1.1201	350  1.0830	333  1.0304	325  1.0056	7033151127  1.1076
59  12	364  1.1263	377  1.1665	392  1.2129	396  1.2253	7852931458  1.2367
60 N 12	873  2.7013	882  2.7291	951  2.9426	965  2.9860	17849476370  2.8109
61  13	101  0.3125	97  0.3001	125  0.3868	119  0.3682	2037906651  0.3209
62  13	91  0.2816	92  0.2847	127  0.3930	127  0.3930	2187019556  0.3444
63  13	117  0.3620	114  0.3527	128  0.3961	131  0.4053	2314542960  0.3645
64  13	124  0.3837	120  0.3713	106  0.3280	96  0.2970	2451437963  0.3860
65 N 13	916  2.8343	918  2.8405	969  2.9983	976  3.0200	9913593383  1.5612
U = 66	32318 42.0790	32318 42.0746	32318 42.4984	32318 42.5051	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	6569 20.3261	6532 20.2116	6266 19.3886	6266 19.3886	119358998783 18.7963
1 1	815  2.5218	817  2.5280	798  2.4692	813  2.5156	15075437352  2.3740
2 1	966  2.9890	960  2.9705	899  2.7817	889  2.7508	17958650211  2.8281
3 1	1048  3.2428	1057  3.2706	1005  3.1097	1006  3.1128	21361994439  3.3640
4 1	1269  3.9266	1284  3.9730	1249  3.8647	1246  3.8554	25528480621  4.0201
5 1 N	480  1.4852	482  1.4914	448  1.3862	454  1.4048	9154206126  1.4416
6 2	930  2.8777	925  2.8622	995  3.0788	986  3.0509	18791511418  2.9592
7 2	1108  3.4284	1124  3.4779	1030  3.1871	1043  3.2273	22088800625  3.4785
8 2	1336  4.1339	1343  4.1556	1343  4.1556	1327  4.1061	26002102208  4.0947
9 2	1513  4.6816	1493  4.6197	1544  4.7775	1551  4.7992	30496109913  4.8024
10 3	779  2.4104	771  2.3857	731  2.2619	738  2.2836	15168880833  2.3887
11 3	819  2.5342	836  2.5868	920  2.8467	903  2.7941	17647767441  2.7791
12 2 N	1100  3.4037	1108  3.4284	1025  3.1716	1035  3.2025	21192170146  3.3373
13 4	428  1.3243	436  1.3491	424  1.3120	418  1.2934	8352078922  1.3153
14 4	476  1.4729	482  1.4914	525  1.6245	537  1.6616	10306791805  1.6231
15 3	1576  4.8765	1555  4.8116	1538  4.7590	1554  4.8085	30412174290  4.7892
16 3	1737  5.3747	1736  5.3716	1764  5.4583	1755  5.4304	35369266210  5.5698
17 3 N	1074  3.3232	1090  3.3727	1140  3.5274	1132  3.5027	21621810315  3.4049
18 5	227  0.7024	223  0.6900	230  0.7117	233  0.7210	4918954504  0.7746
19 5	310  0.9592	309  0.9561	298  0.9221	304  0.9407	6307419874  0.9933
20 4	1169  3.6172	1176  3.6388	1232  3.8121	1240  3.8369	24619813919  3.8771
21 4	1486  4.5981	1477  4.5702	1410  4.3629	1421  4.3969	28756868129  4.5285
22 4 N	947  2.9303	946  2.9272	1000  3.0943	962  2.9767	19299318906  3.0392
23 5	693  2.1443	688  2.1288	710  2.1969	708  2.1907	14305376462  2.2528
24 5	832  2.5744	846  2.6177	912  2.8220	908  2.8096	16882127404  2.6585
25 5 N	573  1.7730	573  1.7730	624  1.9308	629  1.9463	12637216524  1.9901
26 6	204  0.6312	198  0.6127	227  0.7024	231  0.7148	4042066459  0.6365
27 6	233  0.7210	237  0.7333	253  0.7828	262  0.8107	4996576787  0.7868
28 6	322  0.9963	319  0.9871	323  0.9994	323  0.9994	6084938998  0.9582
29 6	355  1.0985	346  1.0706	359  1.1108	357  1.1046	7241748711  1.1404
30 6 N	497  1.5378	503  1.5564	551  1.7049	545  1.6864	9797000990  1.5428
31 7	40  0.1238	37  0.1145	64  0.1980	64  0.1980	950467974  0.1497
32 7	44  0.1361	46  0.1423	60  0.1857	58  0.1795	1125576093  0.1773
33 7	58  0.1795	61  0.1887	75  0.2321	76  0.2352	1297292873  0.2043
34 7	70  0.2166	70  0.2166	79  0.2444	77  0.2383	1491113912  0.2348
35 7 N	235  0.7271	232  0.7179	267  0.8262	267  0.8262	4372449423  0.6886
U = 36	32318 11.1249	32318 11.1308	32318 11.4775	32318 11.4700	635013559600 11.4347

Top     Main

Par None vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	405  2.5059	405  2.4455	405  1.2532
1 70	2  0.0124	3  0.0181	5  0.0155
2 80	37  0.2289	30  0.1811	67  0.2073
3 90	511  3.1617	470  2.8380	981  3.0355
4 100	2585 15.9943	2570 15.5184	5155 15.9509
5 110	686  4.2445	717  4.3294	1403  4.3412
6 120	662  4.0960	623  3.7619	1285  3.9761
7 130	617  3.8176	611  3.6894	1228  3.7997
8 140	1699 10.5123	1737 10.4885	3436 10.6318
10 300	845  5.2283	829  5.0057	1674  5.1798
11 400	1288  7.9693	1305  7.8800	2593  8.0234
12 420	1747 10.8093	1820 10.9897	3567 11.0372
13 430	951  5.8842	979  5.9115	1930  5.9719
14 450	1409  8.7180	1492  9.0091	2901  8.9764
15 460	609  3.7681	655  3.9551	1264  3.9111
16 500	70  0.4331	66  0.3985	136  0.4208
22 800	153  0.9467	140  0.8454	293  0.9066
23 920	351  2.1718	388  2.3429	739  2.2867
24 980	550  3.4030	590  3.5626	1140  3.5274
25 990	543  3.3597	590  3.5626	1133  3.5058
26 1100	9  0.0557	21  0.1268	30  0.0928
28 1400	11  0.0681	18  0.1087	29  0.0897
30 1440	67  0.4146	92  0.5555	159  0.4920
31 1510	120  0.7425	141  0.8514	261  0.8076
32 1520	235  1.4540	269  1.6243	504  1.5595
U = 25	16162 10.8399	16561 11.1064	32318 11.1123

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Par N-S vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	2  0.0127	3  0.0186	5  0.0157
2 80	37  0.2348	30  0.1857	67  0.2099
3 90	511  3.2430	470  2.9091	981  3.0740
4 100	2585 16.4054	0	2585  8.1001
5 110	686  4.3536	1699 10.5162	2385  7.4734
6 120	662  4.2013	861  5.3293	1523  4.7723
7 130	617  3.9157	782  4.8403	1399  4.3838
8 140	1699 10.7825	2489 15.4060	4188 13.1232
9 200	0	427  2.6430	427  1.3380
10 300	845  5.3627	0	845  2.6478
11 400	0	1542  9.5444	1542  4.8319
12 420	0	2248 13.9143	2248  7.0442
13 430	0	1025  6.3444	1025  3.2119
14 450	0	1587  9.8230	1587  4.9729
15 460	0	662  4.0975	662  2.0744
16 500	1386  8.7961	16  0.0990	1402  4.3932
17 600	891  5.6546	0	891  2.7920
18 620	1143  7.2539	0	1143  3.5816
19 630	842  5.3437	0	842  2.6384
20 650	1215  7.7109	0	1215  3.8072
21 660	597  3.7888	0	597  1.8707
22 800	153  0.9710	66  0.4085	219  0.6862
23 920	0	447  2.7668	447  1.4007
24 980	0	651  4.0295	651  2.0399
25 990	0	602  3.7262	602  1.8864
26 1100	240  1.5231	8  0.0495	248  0.7771
27 1370	260  1.6501	0	260  0.8147
28 1400	213  1.3518	21  0.1300	234  0.7332
29 1430	290  1.8405	0	290  0.9087
30 1440	461  2.9257	103  0.6375	564  1.7673
31 1510	0	148  0.9161	148  0.4638
32 1520	0	269  1.6650	269  0.8429
33 1700	26  0.1650	0	26  0.0815
34 2000	22  0.1396	0	22  0.0689
35 2140	34  0.2158	0	34  0.1065
36 2210	105  0.6664	0	105  0.3290
37 2220	235  1.4914	0	235  0.7364
U = 38	15757 13.7428	16156 11.9782	31913 12.8494

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Par E-W vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	405  2.5059	405  2.4455	405  1.2532
1 70	2  0.0124	3  0.0181	5  0.0155
2 80	37  0.2289	30  0.1811	67  0.2073
3 90	511  3.1617	470  2.8380	981  3.0355
4 100	0	2570 15.5184	2570  7.9522
5 110	1702 10.5309	717  4.3294	2419  7.4850
6 120	927  5.7357	623  3.7619	1550  4.7961
7 130	756  4.6776	611  3.6894	1367  4.2298
8 140	2432 15.0476	1737 10.4885	4169 12.8999
9 200	432  2.6729	0	432  1.3367
10 300	0	829  5.0057	829  2.5651
11 400	1521  9.4110	0	1521  4.7064
12 420	2209 13.6679	0	2209  6.8352
13 430	991  6.1317	0	991  3.0664
14 450	1492  9.2315	0	1492  4.6166
15 460	614  3.7990	0	614  1.8999
16 500	22  0.1361	1401  8.4596	1423  4.4031
17 600	0	878  5.3016	878  2.7168
18 620	0	1213  7.3244	1213  3.7533
19 630	0	886  5.3499	886  2.7415
20 650	0	1301  7.8558	1301  4.0256
21 660	0	638  3.8524	638  1.9741
22 800	70  0.4331	140  0.8454	210  0.6498
23 920	404  2.4997	0	404  1.2501
24 980	637  3.9413	0	637  1.9710
25 990	549  3.3969	0	549  1.6987
26 1100	7  0.0433	264  1.5941	271  0.8385
27 1370	0	288  1.7390	288  0.8911
28 1400	9  0.0557	223  1.3465	232  0.7179
29 1430	0	341  2.0591	341  1.0551
30 1440	75  0.4641	491  2.9648	566  1.7513
31 1510	123  0.7610	0	123  0.3806
32 1520	235  1.4540	0	235  0.7271
33 1700	0	28  0.1691	28  0.0866
34 2000	0	31  0.1872	31  0.0959
35 2140	0	44  0.2657	44  0.1361
36 2210	0	130  0.7850	130  0.4023
37 2220	0	269  1.6243	269  0.8324
U = 38	16162 11.4312	16561 13.7492	32318 12.7623

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Par Both vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	405  2.5059	405  2.4455	405  1.2532
1 70	2  0.0124	3  0.0181	5  0.0155
2 80	37  0.2289	30  0.1811	67  0.2073
3 90	511  3.1617	470  2.8380	981  3.0355
5 110	1702 10.5309	1699 10.2590	3401 10.5235
6 120	927  5.7357	861  5.1990	1788  5.5325
7 130	756  4.6776	782  4.7219	1538  4.7590
8 140	2432 15.0476	2489 15.0293	4921 15.2268
9 200	432  2.6729	427  2.5783	859  2.6580
16 500	845  5.2283	829  5.0057	1674  5.1798
17 600	1288  7.9693	1305  7.8800	2593  8.0234
18 620	1747 10.8093	1820 10.9897	3567 11.0372
19 630	951  5.8842	979  5.9115	1930  5.9719
20 650	1409  8.7180	1492  9.0091	2901  8.9764
21 660	609  3.7681	655  3.9551	1264  3.9111
22 800	70  0.4331	66  0.3985	136  0.4208
26 1100	153  0.9467	140  0.8454	293  0.9066
27 1370	351  2.1718	388  2.3429	739  2.2867
28 1400	149  0.9219	164  0.9903	313  0.9685
29 1430	434  2.6853	479  2.8923	913  2.8251
30 1440	519  3.2112	558  3.3694	1077  3.3325
33 1700	11  0.0681	18  0.1087	29  0.0897
34 2000	26  0.1609	28  0.1691	54  0.1671
35 2140	47  0.2908	67  0.4046	114  0.3527
36 2210	114  0.7054	138  0.8333	252  0.7798
37 2220	235  1.4540	269  1.6243	504  1.5595
U = 26	16162 14.4308	16561 14.7558	32318 14.7782

Top     Main

LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	10  0.2987	7  0.2091	3  0.0896	1  0.0299
13	355 10.6033	275  8.2139	320  9.5579	237  7.0789
14	1637 48.8949	1582 47.2521	1652 49.3429	1600 47.7897
15	1119 33.4229	1221 36.4695	1138 33.9904	1239 37.0072
16	202  6.0335	236  7.0490	209  6.2425	243  7.2581
17	23  0.6870	25  0.7467	24  0.7168	26  0.7766
18	1  0.0299	1  0.0299	1  0.0299	1  0.0299
19	0	0	0	0
20	1  0.0299	1  0.0299	1  0.0299	1  0.0299
U = 9	3348 14.3665	3348 14.4447	3348 14.3919	3348 14.4701

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	4  0.1181	3  0.0886	0	0
13	31  0.9155	23  0.6793	28  0.8269	18  0.5316
14	515 15.2097	440 12.9947	521 15.3869	442 13.0538
15	1655 48.8777	1625 47.9917	1652 48.7891	1629 48.1099
16	997 29.4448	1086 32.0732	999 29.5038	1085 32.0437
17	163  4.8139	186  5.4932	165  4.8730	189  5.5818
18	20  0.5907	22  0.6497	20  0.5907	22  0.6497
19	1  0.0295	1  0.0295	1  0.0295	1  0.0295
U = 8	3386 15.2357	3386 15.3051	3386 15.2410	3386 15.3116

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
11	1  0.0117	1  0.0117	0	0
12	7  0.0816	7  0.0816	0	0
13	50  0.5828	44  0.5128	14  0.1632	11  0.1282
14	354  4.1259	299  3.4848	269  3.1352	212  2.4709
15	1783 20.7809	1660 19.3473	1746 20.3497	1606 18.7179
16	3633 42.3427	3637 42.3893	3734 43.5198	3734 43.5198
17	2172 25.3147	2281 26.5851	2219 25.8625	2340 27.2727
18	490  5.7110	548  6.3869	506  5.8974	573  6.6783
19	79  0.9207	90  1.0490	82  0.9557	91  1.0606
20	10  0.1166	12  0.1399	9  0.1049	12  0.1399
21	0	0	0	0
22	1  0.0117	1  0.0117	1  0.0117	1  0.0117
U = 12	8580 16.0887	8580 16.1490	8580 16.1390	8580 16.2040

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0135	1  0.0135	0	0
11	0	0	0	0
12	0	0	0	0
13	5  0.0677	4  0.0541	1  0.0135	1  0.0135
14	36  0.4871	26  0.3518	18  0.2436	10  0.1353
15	349  4.7226	305  4.1272	315  4.2625	275  3.7212
16	1684 22.7876	1590 21.5156	1662 22.4899	1557 21.0690
17	2873 38.8769	2871 38.8498	2917 39.4723	2907 39.3369
18	1910 25.8457	2009 27.1854	1940 26.2517	2042 27.6319
19	475  6.4276	520  7.0365	476  6.4411	531  7.1854
20	57  0.7713	64  0.8660	61  0.8254	67  0.9066
U = 11	7390 17.0696	7390 17.1272	7390 17.0981	7390 17.1575

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	1  0.0200	1  0.0200	0	0
13	0	0	0	0
14	2  0.0400	2  0.0400	2  0.0400	2  0.0400
15	30  0.5999	26  0.5199	25  0.4999	21  0.4199
16	356  7.1186	322  6.4387	325  6.4987	294  5.8788
17	1221 24.4151	1162 23.2354	1196 23.9152	1118 22.3555
18	1780 35.5929	1780 35.5929	1779 35.5729	1802 36.0328
19	1177 23.5353	1230 24.5951	1219 24.3751	1260 25.1950
20	359  7.1786	393  7.8584	375  7.4985	416  8.3183
21	66  1.3197	74  1.4797	70  1.3997	75  1.4997
22	8  0.1600	9  0.1800	9  0.1800	11  0.2200
23	1  0.0200	2  0.0400	1  0.0200	2  0.0400
U = 12	5001 18.0186	5001 18.0772	5001 18.0582	5001 18.1188

Top     Main

LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	1  0.0377	1  0.0377	0	0
16	38  1.4334	29  1.0939	32  1.2071	23  0.8676
17	310 11.6937	292 11.0147	277 10.4489	261  9.8453
18	751 28.3289	738 27.8386	759 28.6307	738 27.8386
19	889 33.5345	884 33.3459	875 33.0064	882 33.2705
20	487 18.3704	521 19.6530	527 19.8793	550 20.7469
21	151  5.6960	154  5.8091	152  5.7337	162  6.1109
22	22  0.8299	30  1.1316	27  1.0185	33  1.2448
23	2  0.0754	2  0.0754	2  0.0754	2  0.0754
U = 9	2651 18.7639	2651 18.8167	2651 18.8155	2651 18.8687

Top     Main

LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	42  3.8961	38  3.5250	37  3.4323	32  2.9685
18	171 15.8627	161 14.9351	154 14.2857	148 13.7291
19	345 32.0037	339 31.4471	353 32.7458	342 31.7254
20	317 29.4063	328 30.4267	319 29.5918	328 30.4267
21	150 13.9147	148 13.7291	158 14.6568	160 14.8423
22	44  4.0816	51  4.7310	48  4.4527	54  5.0093
23	9  0.8349	13  1.2059	9  0.8349	14  1.2987
U = 7	1078 19.4917	1078 19.5492	1078 19.5445	1078 19.6067

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	2  0.5650	0	0	0
18	28  7.9096	28  7.9096	27  7.6271	25  7.0621
19	83 23.4463	82 23.1638	82 23.1638	80 22.5989
20	115 32.4859	112 31.6384	112 31.6384	111 31.3559
21	74 20.9040	73 20.6215	78 22.0339	77 21.7514
22	40 11.2994	46 12.9944	40 11.2994	45 12.7119
23	12  3.3898	13  3.6723	14  3.9548	15  4.2373
24	0	0	1  0.2825	1  0.2825
U = 8	354 20.1271	354 20.1864	354 20.1921	354 20.2429

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LoTT 22 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
18	3  2.7523	3  2.7523	2  1.8349	2  1.8349
19	18 16.5138	17 15.5963	16 14.6789	15 13.7615
20	34 31.1927	32 29.3578	37 33.9450	34 31.1927
21	31 28.4404	33 30.2752	30 27.5229	33 30.2752
22	11 10.0917	12 11.0092	12 11.0092	13 11.9266
23	8  7.3394	8  7.3394	8  7.3394	8  7.3394
24	4  3.6697	3  2.7523	4  3.6697	3  2.7523
25	0	1  0.9174	0	1  0.9174
U = 8	109 20.6330	109 20.6881	109 20.6789	109 20.7431

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LoTT 23 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
20	5 31.2500	4 25.0000	5 31.2500	4 25.0000
21	6 37.5000	6 37.5000	5 31.2500	6 37.5000
22	3 18.7500	4 25.0000	3 18.7500	2 12.5000
23	1  6.2500	1  6.2500	2 12.5000	3 18.7500
24	1  6.2500	1  6.2500	1  6.2500	1  6.2500
U = 5	16 21.1875	16 21.3125	16 21.3125	16 21.4375

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LoTT 24 trumps

No data available

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LoTT 25 trumps

No data available

Double-dummy stats for 32,318 deals

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© 2020 Richard Pavlicek