Main   Stats 8H30 by Richard Pavlicek  

RP BBO Matches

Double-dummy stats for 35,194 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	628  1.7844	621  1.7645	561  1.5940	565  1.6054	9913593383  1.5612
1	1367  3.8842	1361  3.8671	1281  3.6398	1288  3.6597	23145762677  3.6449
2	2122  6.0294	2140  6.0806	1986  5.6430	1986  5.6430	37977932067  5.9806
3	2942  8.3594	2961  8.4134	2876  8.1718	2867  8.1463	52871069846  8.3260
4	3833 10.8911	3794 10.7802	3689 10.4819	3679 10.4535	67524194742 10.6335
5	4365 12.4027	4333 12.3118	4391 12.4766	4385 12.4595	80101714628 12.6142
6	4982 14.1558	4977 14.1416	5146 14.6218	5160 14.6616	90730441332 14.2880
7	4662 13.2466	4675 13.2835	4576 13.0022	4613 13.1073	84402158672 13.2914
8	3954 11.2349	3983 11.3173	3896 11.0701	3887 11.0445	71237104568 11.2182
9	2640  7.5013	2647  7.5212	2730  7.7570	2746  7.8025	47702049563  7.5120
10	1746  4.9611	1757  4.9923	1879  5.3390	1853  5.2651	32569065440  5.1289
11	1036  2.9437	1033  2.9352	1160  3.2960	1148  3.2619	20600866092  3.2442
12	661  1.8782	659  1.8725	726  2.0629	720  2.0458	11865157167  1.8685
13	256  0.7274	253  0.7189	297  0.8439	297  0.8439	4372449423  0.6886
U = 14	35194  5.9564	35194  5.9604	35194  6.0624	35194  6.0585	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	403  1.1451	409  1.1621	374  1.0627	371  1.0542	6949893015  1.0944
1	1032  2.9323	1024  2.9096	966  2.7448	974  2.7675	17646817412  2.7790
2	1904  5.4100	1893  5.3788	1774  5.0406	1771  5.0321	32992452829  5.1956
3	2751  7.8167	2748  7.8081	2755  7.8280	2754  7.8252	50476652542  7.9489
4	3740 10.6268	3776 10.7291	3601 10.2319	3603 10.2375	66372975438 10.4522
5	4318 12.2691	4311 12.2492	4425 12.5732	4425 12.5732	77821925315 12.2552
6	4591 13.0448	4548 12.9227	4508 12.8090	4510 12.8147	82551854345 13.0000
7	4459 12.6698	4454 12.6556	4414 12.5419	4411 12.5334	80760822737 12.7180
8	4055 11.5219	4090 11.6213	4111 11.6810	4122 11.7122	73465633954 11.5691
9	3233  9.1862	3236  9.1947	3381  9.6068	3381  9.6068	60489162482  9.5256
10	2445  6.9472	2436  6.9216	2431  6.9074	2413  6.8563	43661750688  6.8757
11	1401  3.9808	1418  4.0291	1551  4.4070	1552  4.4098	26377787548  4.1539
12	691  1.9634	680  1.9321	699  1.9861	702  1.9947	12128527136  1.9100
13	171  0.4859	171  0.4859	204  0.5796	205  0.5825	3317304159  0.5224
U = 14	35194  6.2600	35194  6.2614	35194  6.3358	35194  6.3348	635013559600  6.2957

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Heart make = hm

Value	North	South	West	East	Empirical
0	438  1.2445	432  1.2275	400  1.1366	396  1.1252	6949893015  1.0944
1	1000  2.8414	1012  2.8755	970  2.7562	970  2.7562	17646817412  2.7790
2	1848  5.2509	1833  5.2083	1758  4.9952	1749  4.9696	32992452829  5.1956
3	2815  7.9985	2824  8.0241	2769  7.8678	2777  7.8905	50476652542  7.9489
4	3712 10.5473	3700 10.5132	3708 10.5359	3685 10.4705	66372975438 10.4522
5	4384 12.4567	4393 12.4822	4326 12.2919	4317 12.2663	77821925315 12.2552
6	4509 12.8118	4492 12.7635	4475 12.7152	4509 12.8118	82551854345 13.0000
7	4443 12.6243	4453 12.6527	4409 12.5277	4436 12.6044	80760822737 12.7180
8	4028 11.4451	4036 11.4679	4178 11.8713	4163 11.8287	73465633954 11.5691
9	3368  9.5698	3356  9.5357	3361  9.5499	3382  9.6096	60489162482  9.5256
10	2356  6.6943	2374  6.7455	2428  6.8989	2418  6.8705	43661750688  6.8757
11	1410  4.0064	1414  4.0177	1469  4.1740	1456  4.1371	26377787548  4.1539
12	692  1.9662	682  1.9378	727  2.0657	718  2.0401	12128527136  1.9100
13	191  0.5427	193  0.5484	216  0.6137	218  0.6194	3317304159  0.5224
U = 14	35194  6.2641	35194  6.2658	35194  6.3253	35194  6.3255	635013559600  6.2957

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Diamond make = dm

Value	North	South	West	East	Empirical
0	445  1.2644	447  1.2701	359  1.0201	366  1.0399	6949893015  1.0944
1	1029  2.9238	1017  2.8897	995  2.8272	982  2.7902	17646817412  2.7790
2	1857  5.2765	1857  5.2765	1750  4.9724	1754  4.9838	32992452829  5.1956
3	2890  8.2116	2862  8.1321	2665  7.5723	2681  7.6178	50476652542  7.9489
4	3625 10.3001	3679 10.4535	3661 10.4023	3654 10.3825	66372975438 10.4522
5	4238 12.0418	4226 12.0077	4421 12.5618	4413 12.5391	77821925315 12.2552
6	4576 13.0022	4567 12.9766	4590 13.0420	4549 12.9255	82551854345 13.0000
7	4563 12.9653	4546 12.9170	4428 12.5817	4480 12.7294	80760822737 12.7180
8	4140 11.7634	4135 11.7492	4006 11.3826	4025 11.4366	73465633954 11.5691
9	3296  9.3652	3330  9.4618	3408  9.6835	3367  9.5670	60489162482  9.5256
10	2271  6.4528	2267  6.4414	2453  6.9699	2456  6.9785	43661750688  6.8757
11	1417  4.0263	1407  3.9978	1509  4.2877	1511  4.2933	26377787548  4.1539
12	682  1.9378	688  1.9549	722  2.0515	731  2.0771	12128527136  1.9100
13	165  0.4688	166  0.4717	227  0.6450	225  0.6393	3317304159  0.5224
U = 14	35194  6.2485	35194  6.2510	35194  6.3431	35194  6.3434	635013559600  6.2957

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Club make = cm

Value	North	South	West	East	Empirical
0	431  1.2246	437  1.2417	409  1.1621	407  1.1564	6949893015  1.0944
1	1079  3.0659	1056  3.0005	915  2.5999	913  2.5942	17646817412  2.7790
2	1821  5.1742	1836  5.2168	1798  5.1088	1802  5.1202	32992452829  5.1956
3	2694  7.6547	2715  7.7144	2738  7.7797	2751  7.8167	50476652542  7.9489
4	3744 10.6382	3740 10.6268	3627 10.3057	3610 10.2574	66372975438 10.4522
5	4477 12.7209	4461 12.6755	4219 11.9878	4210 11.9623	77821925315 12.2552
6	4543 12.9085	4521 12.8459	4541 12.9028	4577 13.0051	82551854345 13.0000
7	4566 12.9738	4562 12.9624	4545 12.9141	4518 12.8374	80760822737 12.7180
8	3932 11.1724	3938 11.1894	4216 11.9793	4218 11.9850	73465633954 11.5691
9	3266  9.2800	3282  9.3255	3346  9.5073	3344  9.5016	60489162482  9.5256
10	2379  6.7597	2382  6.7682	2390  6.7909	2410  6.8478	43661750688  6.8757
11	1408  4.0007	1426  4.0518	1460  4.1484	1446  4.1087	26377787548  4.1539
12	669  1.9009	655  1.8611	758  2.1538	760  2.1595	12128527136  1.9100
13	185  0.5257	183  0.5200	232  0.6592	228  0.6478	3317304159  0.5224
U = 14	35194  6.2495	35194  6.2506	35194  6.3449	35194  6.3442	635013559600  6.2957

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Longest fit = lf

Value	North	South	West	East	Theoretical
7	5530 15.7129	5530 15.7129	5564 15.8095	5564 15.8095	13006498437504 15.7363
8	16144 45.8715	16144 45.8715	16113 45.7834	16113 45.7834	37809373653909 45.7447
9	9870 28.0446	9870 28.0446	9958 28.2946	9958 28.2946	23225440992325 28.0999
10	3027  8.6009	3027  8.6009	2929  8.3224	2929  8.3224	7168401039800  8.6729
11	574  1.6310	574  1.6310	559  1.5883	559  1.5883	1307227435020  1.5816
12	47  0.1335	47  0.1335	69  0.1961	69  0.1961	130732315831  0.1582
13	2  0.0057	2  0.0057	2  0.0057	2  0.0057	5414950295  0.0066
U = 7	35194  8.3499	35194  8.3499	35194  8.3471	35194  8.3471	82653088824684  8.3512

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Longest fit make = lm

Value	North	South	West	East	Empirical
0	3  0.0085	3  0.0085	2  0.0057	2  0.0057	22876394  0.0036
1	14  0.0398	16  0.0455	10  0.0284	10  0.0284	251246691  0.0396
2	97  0.2756	93  0.2642	94  0.2671	96  0.2728	1556124656  0.2451
3	332  0.9433	331  0.9405	309  0.8780	308  0.8751	5892722789  0.9280
4	918  2.6084	931  2.6453	898  2.5516	890  2.5288	16409883547  2.5842
5	2099  5.9641	2097  5.9584	1998  5.6771	2003  5.6913	35643298455  5.6130
6	3439  9.7716	3395  9.6465	3303  9.3851	3301  9.3794	62031256233  9.7685
7	5131 14.5792	5150 14.6332	4882 13.8717	4902 13.9285	89999744190 14.1729
8	6115 17.3751	6104 17.3439	6114 17.3723	6110 17.3609	110099842849 17.3382
9	6197 17.6081	6203 17.6252	6328 17.9803	6320 17.9576	113173167471 17.8222
10	5230 14.8605	5271 14.9770	5267 14.9656	5278 14.9969	95919764225 15.1052
11	3426  9.7346	3419  9.7147	3575 10.1580	3558 10.1097	64150449024 10.1022
12	1725  4.9014	1710  4.8588	1829  5.1969	1834  5.2111	31112561346  4.8995
13	468  1.3298	471  1.3383	585  1.6622	582  1.6537	8750621730  1.3780
U = 14	35194  8.3362	35194  8.3379	35194  8.4137	35194  8.4126	635013559600  8.3753

Top     Main

Best fit = bf

Value	North	South	West	East	Empirical
5	3  0.0085	3  0.0085	2  0.0057	2  0.0057	10461673  0.0016
6	65  0.1847	54  0.1534	62  0.1762	64  0.1818	1222077835  0.1924
7	5838 16.5881	5841 16.5966	5856 16.6392	5860 16.6506	105351212255 16.5904
8	15984 45.4168	15988 45.4282	15947 45.3117	15943 45.3003	287234089436 45.2327
9	9673 27.4848	9682 27.5104	9796 27.8343	9792 27.8229	175437245133 27.6273
10	3013  8.5611	3008  8.5469	2905  8.2542	2907  8.2599	54701014789  8.6141
11	569  1.6168	569  1.6168	555  1.5770	555  1.5770	10008187498  1.5761
12	47  0.1335	47  0.1335	69  0.1961	69  0.1961	1006364496  0.1585
13	2  0.0057	2  0.0057	2  0.0057	2  0.0057	42906485  0.0068
U = 9	35194  8.3304	35194  8.3309	35194  8.3288	35194  8.3286	635013559600  8.3327

Top     Main

Best fit make = bm

Value	North	South	West	East	Empirical
0	1  0.0028	1  0.0028	0	0	1513990  0.0002
1	11  0.0313	12  0.0341	7  0.0199	7  0.0199	132231913  0.0208
2	90  0.2557	87  0.2472	77  0.2188	77  0.2188	1339624042  0.2110
3	319  0.9064	318  0.9036	306  0.8695	307  0.8723	5671089748  0.8931
4	892  2.5345	899  2.5544	881  2.5033	867  2.4635	16177592015  2.5476
5	2087  5.9300	2091  5.9414	1995  5.6686	2007  5.7027	35415185536  5.5771
6	3421  9.7204	3385  9.6181	3269  9.2885	3263  9.2715	61775936908  9.7283
7	5113 14.5280	5131 14.5792	4873 13.8461	4897 13.9143	89711329037 14.1275
8	6105 17.3467	6084 17.2870	6109 17.3581	6098 17.3268	109962826727 17.3166
9	6227 17.6934	6234 17.7132	6323 17.9661	6324 17.9690	113305081446 17.8429
10	5231 14.8633	5280 15.0026	5301 15.0622	5301 15.0622	96187452851 15.1473
11	3442  9.7801	3433  9.7545	3581 10.1750	3574 10.1551	64547826059 10.1648
12	1768  5.0236	1749  4.9696	1867  5.3049	1869  5.3106	31646530587  4.9836
13	487  1.3838	490  1.3923	605  1.7190	603  1.7134	9139338741  1.4392
U = 14	35194  8.3557	35194  8.3570	35194  8.4319	35194  8.4314	635013559600  8.3938

Top     Main

Highest make = H

Value	North	South	West	East	Empirical
0 —	1  0.0028	1  0.0028	0	0	1513990  0.0002
1  1	0	0	0	0	4027214  0.0006
2  1	2  0.0057	3  0.0085	1  0.0028	1  0.0028	11612306  0.0018
3  1	2  0.0057	2  0.0057	1  0.0028	1  0.0028	25874094  0.0041
4  1	5  0.0142	5  0.0142	3  0.0085	3  0.0085	53231899  0.0084
5 N 1	2  0.0057	2  0.0057	2  0.0057	2  0.0057	36956503  0.0058
6  2	5  0.0142	5  0.0142	7  0.0199	8  0.0227	120316810  0.0189
7  2	12  0.0341	10  0.0284	15  0.0426	14  0.0398	198635528  0.0313
8  2	27  0.0767	28  0.0796	24  0.0682	24  0.0682	326628269  0.0514
9  2	33  0.0938	33  0.0938	22  0.0625	23  0.0654	500918833  0.0789
10 N 2	12  0.0341	10  0.0284	9  0.0256	8  0.0227	185145875  0.0292
11  3	35  0.0994	32  0.0909	33  0.0938	34  0.0966	708986520  0.1116
12  3	65  0.1847	69  0.1961	62  0.1762	62  0.1762	998658286  0.1573
13  3	78  0.2216	73  0.2074	79  0.2245	79  0.2245	1395338886  0.2197
14  3	104  0.2955	106  0.3012	93  0.2642	94  0.2671	1910125869  0.3008
15 N 3	35  0.0994	36  0.1023	36  0.1023	36  0.1023	600509115  0.0946
16  4	138  0.3921	144  0.4092	127  0.3609	125  0.3552	2289229042  0.3605
17  4	160  0.4546	158  0.4489	169  0.4802	171  0.4859	2994612265  0.4716
18  4	195  0.5541	196  0.5569	213  0.6052	207  0.5882	3903975403  0.6148
19  4	293  0.8325	299  0.8496	275  0.7814	270  0.7672	5081012026  0.8001
20 N 4	96  0.2728	90  0.2557	83  0.2358	84  0.2387	1713322270  0.2698
21  5	363  1.0314	348  0.9888	293  0.8325	295  0.8382	5390835002  0.8489
22  5	426  1.2104	427  1.2133	383  1.0883	380  1.0797	6765583620  1.0654
23  5	498  1.4150	507  1.4406	475  1.3497	482  1.3696	8498769442  1.3384
24  5	571  1.6224	572  1.6253	607  1.7247	612  1.7389	10602398413  1.6696
25 N 5	207  0.5882	220  0.6251	218  0.6194	215  0.6109	3790350430  0.5969
26  6	569  1.6168	568  1.6139	501  1.4235	501  1.4235	9966643603  1.5695
27  6	691  1.9634	681  1.9350	634  1.8014	632  1.7958	12109712021  1.9070
28  6	803  2.2816	795  2.2589	808  2.2958	807  2.2930	14729112069  2.3195
29  6	991  2.8158	985  2.7988	966  2.7448	967  2.7476	17910202521  2.8204
30 N 6	338  0.9604	323  0.9178	333  0.9462	331  0.9405	6534760658  1.0291
31  7	895  2.5430	892  2.5345	870  2.4720	888  2.5232	15075437352  2.3740
32  7	1065  3.0261	1065  3.0261	987  2.8045	978  2.7789	17958650211  2.8281
33  7	1177  3.3443	1186  3.3699	1119  3.1795	1129  3.2079	21361994439  3.3640
34  7	1405  3.9922	1417  4.0263	1381  3.9240	1375  3.9069	25528480621  4.0201
35 N 7	518  1.4718	521  1.4804	490  1.3923	494  1.4036	9154206125  1.4416
36  8	1030  2.9266	1021  2.9011	1094  3.1085	1081  3.0715	18791511418  2.9592
37  8	1205  3.4239	1229  3.4921	1163  3.3045	1174  3.3358	22088800625  3.4785
38  8	1477  4.1967	1484  4.2166	1487  4.2252	1472  4.1825	26002102208  4.0947
39  8	1687  4.7934	1658  4.7110	1698  4.8247	1712  4.8645	30496109913  4.8024
40 N 8	699  1.9861	692  1.9662	634  1.8014	627  1.7816	12173466153  1.9170
41  9	1070  3.0403	1062  3.0176	1023  2.9067	1039  2.9522	19155398988  3.0165
42  9	1182  3.3585	1202  3.4154	1300  3.6938	1287  3.6569	22679953280  3.5716
43  9	1513  4.2990	1495  4.2479	1489  4.2308	1501  4.2649	26645003052  4.1960
44  9	1704  4.8417	1723  4.8957	1725  4.9014	1715  4.8730	31116921638  4.9002
45 N 9	750  2.1310	751  2.1339	803  2.2816	801  2.2760	13776418529  2.1695
46  10	871  2.4749	885  2.5146	852  2.4209	852  2.4209	15678126613  2.4689
47  10	1007  2.8613	1005  2.8556	1063  3.0204	1068  3.0346	18845651711  2.9678
48  10	1160  3.2960	1174  3.3358	1216  3.4551	1233  3.5034	22346330376  3.5190
49  10	1495  4.2479	1486  4.2223	1436  4.0802	1446  4.1087	26213758053  4.1281
50 N 10	752  2.1367	764  2.1708	769  2.1850	736  2.0913	13730953401  2.1623
51  11	512  1.4548	509  1.4463	511  1.4520	491  1.3951	9697289588  1.5271
52  11	636  1.8071	625  1.7759	651  1.8497	663  1.8838	11914043914  1.8762
53  11	784  2.2277	777  2.2078	773  2.1964	773  2.1964	14305376462  2.2528
54  11	917  2.6056	931  2.6453	1012  2.8755	1012  2.8755	16882127404  2.6585
55 N 11	640  1.8185	640  1.8185	677  1.9236	677  1.9236	12637216524  1.9901
56  12	229  0.6507	223  0.6336	252  0.7160	254  0.7217	4042066459  0.6365
57  12	253  0.7189	259  0.7359	283  0.8041	293  0.8325	4996576787  0.7868
58  12	351  0.9973	347  0.9860	355  1.0087	351  0.9973	6084938998  0.9582
59  12	399  1.1337	389  1.1053	395  1.1224	395  1.1224	7241748711  1.1404
60 N 12	557  1.5827	559  1.5883	599  1.7020	599  1.7020	9797000990  1.5428
61  13	47  0.1335	44  0.1250	73  0.2074	72  0.2046	950467974  0.1497
62  13	52  0.1478	53  0.1506	72  0.2046	69  0.1961	1125576093  0.1773
63  13	64  0.1818	67  0.1904	84  0.2387	85  0.2415	1297292873  0.2043
64  13	78  0.2216	78  0.2216	89  0.2529	87  0.2472	1491113912  0.2348
65 N 13	256  0.7274	253  0.7189	297  0.8439	297  0.8439	4372449423  0.6886
U = 66	35194 39.8967	35194 39.9006	35194 40.2804	35194 40.2750	635013559600 40.0915

Top     Main

On-lead highest make = O

Value	North	South	West	East	Empirical
0 —	1  0.0028	1  0.0028	0	0	1241472  0.0002
1  1	0	0	0	0	3239939  0.0005
2  1	2  0.0057	2  0.0057	1  0.0028	1  0.0028	9447300  0.0015
3  1	2  0.0057	2  0.0057	1  0.0028	1  0.0028	21574362  0.0034
4  1	5  0.0142	5  0.0142	2  0.0057	2  0.0057	42527988  0.0067
5 N 1	2  0.0057	1  0.0028	3  0.0085	3  0.0085	26388851  0.0042
6  2	4  0.0114	3  0.0085	4  0.0114	4  0.0114	84995416  0.0134
7  2	7  0.0199	10  0.0284	11  0.0313	9  0.0256	142224249  0.0224
8  2	16  0.0455	15  0.0426	20  0.0568	19  0.0540	231292299  0.0364
9  2	23  0.0654	25  0.0710	17  0.0483	19  0.0540	363266834  0.0572
10 N 2	9  0.0256	6  0.0170	8  0.0227	8  0.0227	127432564  0.0201
11  3	23  0.0654	25  0.0710	24  0.0682	25  0.0710	493076363  0.0776
12  3	56  0.1591	55  0.1563	37  0.1051	36  0.1023	693513539  0.1092
13  3	55  0.1563	60  0.1705	53  0.1506	54  0.1534	1000823292  0.1576
14  3	84  0.2387	80  0.2273	59  0.1676	70  0.1989	1395369165  0.2197
15 N 3	25  0.0710	31  0.0881	24  0.0682	26  0.0739	517057969  0.0814
16  4	88  0.2500	85  0.2415	91  0.2586	88  0.2500	1644254032  0.2589
17  4	127  0.3609	125  0.3552	125  0.3552	131  0.3722	2174377737  0.3424
18  4	150  0.4262	157  0.4461	155  0.4404	157  0.4461	2890268054  0.4552
19  4	230  0.6535	212  0.6024	220  0.6251	208  0.5910	3825111648  0.6024
20 N 4	85  0.2415	75  0.2131	80  0.2273	84  0.2387	1603391433  0.2525
21  5	244  0.6933	250  0.7103	220  0.6251	205  0.5825	3998705776  0.6297
22  5	281  0.7984	294  0.8354	277  0.7871	276  0.7842	5059967561  0.7968
23  5	364  1.0343	367  1.0428	356  1.0115	345  0.9803	6444920473  1.0149
24  5	459  1.3042	463  1.3156	456  1.2957	442  1.2559	8171172220  1.2868
25 N 5	240  0.6819	233  0.6620	220  0.6251	227  0.6450	3680646693  0.5796
26  6	469  1.3326	465  1.3212	392  1.1138	406  1.1536	7757580348  1.2216
27  6	541  1.5372	533  1.5145	502  1.4264	502  1.4264	9525027771  1.5000
28  6	681  1.9350	693  1.9691	653  1.8554	662  1.8810	11764658491  1.8527
29  6	798  2.2674	796  2.2617	809  2.2987	799  2.2703	14509280677  2.2849
30 N 6	346  0.9831	358  1.0172	323  0.9178	331  0.9405	6740920718  1.0615
31  7	719  2.0430	722  2.0515	685  1.9464	681  1.9350	12379732192  1.9495
32  7	872  2.4777	864  2.4550	765  2.1737	774  2.1992	14970987161  2.3576
33  7	957  2.7192	971  2.7590	986  2.8016	987  2.8045	18071185110  2.8458
34  7	1193  3.3898	1184  3.3642	1192  3.3869	1203  3.4182	21830271641  3.4378
35 N 7	620  1.7617	615  1.7475	628  1.7844	616  1.7503	11424585988  1.7991
36  8	929  2.6397	922  2.6198	960  2.7277	961  2.7306	16339498138  2.5731
37  8	1088  3.0914	1085  3.0829	1059  3.0090	1064  3.0232	19709383181  3.1038
38  8	1394  3.9609	1379  3.9183	1356  3.8529	1351  3.8387	23605758352  3.7174
39  8	1592  4.5235	1595  4.5320	1543  4.3843	1548  4.3985	28085928185  4.4229
40 N 8	907  2.5771	931  2.6453	877  2.4919	884  2.5118	16270929517  2.5623
41  9	971  2.7590	962  2.7334	955  2.7135	951  2.7022	17610462720  2.7732
42  9	1148  3.2619	1158  3.2903	1185  3.3671	1152  3.2733	21330730539  3.3591
43  9	1460  4.1484	1432  4.0689	1436  4.0802	1443  4.1001	25409571822  4.0014
44  9	1658  4.7110	1680  4.7735	1675  4.7593	1660  4.7167	30048695498  4.7320
45 N 9	1098  3.1198	1106  3.1426	1127  3.2023	1146  3.2562	20125215758  3.1693
46  10	795  2.2589	796  2.2617	833  2.3669	837  2.3782	15180947336  2.3906
47  10	994  2.8243	1001  2.8442	1040  2.9550	1045  2.9693	18360372398  2.8913
48  10	1208  3.4324	1204  3.4210	1223  3.4750	1219  3.4637	21797024413  3.4325
49  10	1382  3.9268	1371  3.8956	1354  3.8472	1367  3.8842	25500986557  4.0158
50 N 10	1269  3.6057	1274  3.6199	1302  3.6995	1288  3.6597	22971290435  3.6174
51  11	571  1.6224	577  1.6395	547  1.5542	541  1.5372	10149896990  1.5984
52  11	637  1.8100	638  1.8128	674  1.9151	666  1.8924	12077115810  1.9019
53  11	759  2.1566	756  2.1481	771  2.1907	771  2.1907	14119413033  2.2235
54  11	883  2.5090	880  2.5004	923  2.6226	944  2.6823	16390731570  2.5812
55 N 11	1228  3.4892	1232  3.5006	1257  3.5716	1236  3.5120	22941283147  3.6127
56  12	266  0.7558	262  0.7444	326  0.9263	337  0.9575	5500720419  0.8662
57  12	345  0.9803	332  0.9433	351  0.9973	358  1.0172	6227026988  0.9806
58  12	387  1.0996	375  1.0655	367  1.0428	358  1.0172	7033151127  1.1076
59  12	407  1.1564	420  1.1934	442  1.2559	446  1.2673	7852931458  1.2367
60 N 12	985  2.7988	992  2.8187	1044  2.9664	1057  3.0034	17849476370  2.8109
61  13	117  0.3324	112  0.3182	139  0.3950	134  0.3807	2037906651  0.3209
62  13	108  0.3069	109  0.3097	140  0.3978	140  0.3978	2187019556  0.3444
63  13	128  0.3637	126  0.3580	144  0.4092	147  0.4177	2314542960  0.3645
64  13	141  0.4006	139  0.3950	124  0.3523	114  0.3239	2451437963  0.3860
65 N 13	561  1.5940	565  1.6054	621  1.7645	628  1.7844	9913593383  1.5612
U = 66	35194 41.8263	35194 41.8234	35194 42.1973	35194 42.2024	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	6757 19.1993	6728 19.1169	6472 18.3895	6468 18.3781	119358998783 18.7963
1 1	895  2.5430	892  2.5345	870  2.4720	888  2.5232	15075437352  2.3740
2 1	1065  3.0261	1065  3.0261	987  2.8045	978  2.7789	17958650211  2.8281
3 1	1177  3.3443	1186  3.3699	1119  3.1795	1129  3.2079	21361994439  3.3640
4 1	1405  3.9922	1417  4.0263	1381  3.9240	1375  3.9069	25528480621  4.0201
5 1 N	518  1.4718	521  1.4804	490  1.3923	494  1.4036	9154206126  1.4416
6 2	1030  2.9266	1021  2.9011	1094  3.1085	1081  3.0715	18791511418  2.9592
7 2	1205  3.4239	1229  3.4921	1163  3.3045	1174  3.3358	22088800625  3.4785
8 2	1477  4.1967	1484  4.2166	1487  4.2252	1472  4.1825	26002102208  4.0947
9 2	1687  4.7934	1658  4.7110	1698  4.8247	1712  4.8645	30496109913  4.8024
10 3	836  2.3754	830  2.3584	801  2.2760	808  2.2958	15168880833  2.3887
11 3	912  2.5914	929  2.6397	1014  2.8812	1000  2.8414	17647767441  2.7791
12 2 N	1203  3.4182	1197  3.4011	1142  3.2449	1145  3.2534	21192170146  3.3373
13 4	464  1.3184	468  1.3298	469  1.3326	465  1.3212	8352078922  1.3153
14 4	539  1.5315	547  1.5542	571  1.6224	581  1.6508	10306791805  1.6231
15 3	1733  4.9241	1710  4.8588	1692  4.8076	1709  4.8559	30412174290  4.7892
16 3	1929  5.4810	1934  5.4953	1953  5.5492	1939  5.5095	35369266210  5.5698
17 3 N	1180  3.3528	1200  3.4097	1247  3.5432	1243  3.5319	21621810315  3.4049
18 5	257  0.7302	256  0.7274	248  0.7047	250  0.7103	4918954504  0.7746
19 5	340  0.9661	340  0.9661	341  0.9689	351  0.9973	6307419874  0.9933
20 4	1280  3.6370	1294  3.6768	1347  3.8274	1353  3.8444	24619813919  3.8771
21 4	1640  4.6599	1631  4.6343	1559  4.4297	1565  4.4468	28756868129  4.5285
22 4 N	1038  2.9494	1037  2.9465	1088  3.0914	1050  2.9835	19299318906  3.0392
23 5	784  2.2277	777  2.2078	773  2.1964	773  2.1964	14305376462  2.2528
24 5	917  2.6056	931  2.6453	1012  2.8755	1012  2.8755	16882127404  2.6585
25 5 N	640  1.8185	640  1.8185	677  1.9236	677  1.9236	12637216524  1.9901
26 6	229  0.6507	223  0.6336	252  0.7160	254  0.7217	4042066459  0.6365
27 6	253  0.7189	259  0.7359	283  0.8041	293  0.8325	4996576787  0.7868
28 6	351  0.9973	347  0.9860	355  1.0087	351  0.9973	6084938998  0.9582
29 6	399  1.1337	389  1.1053	395  1.1224	395  1.1224	7241748711  1.1404
30 6 N	557  1.5827	559  1.5883	599  1.7020	599  1.7020	9797000990  1.5428
31 7	47  0.1335	44  0.1250	73  0.2074	72  0.2046	950467974  0.1497
32 7	52  0.1478	53  0.1506	72  0.2046	69  0.1961	1125576093  0.1773
33 7	64  0.1818	67  0.1904	84  0.2387	85  0.2415	1297292873  0.2043
34 7	78  0.2216	78  0.2216	89  0.2529	87  0.2472	1491113912  0.2348
35 7 N	256  0.7274	253  0.7189	297  0.8439	297  0.8439	4372449423  0.6886
U = 36	35194 11.2930	35194 11.2962	35194 11.6131	35194 11.6051	635013559600 11.4347

Top     Main

Par None vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	2  0.0115	3  0.0169	5  0.0142
2 80	44  0.2527	38  0.2137	82  0.2330
3 90	558  3.2045	515  2.8964	1073  3.0488
4 100	2864 16.4475	2803 15.7640	5667 16.1022
5 110	758  4.3531	799  4.4936	1557  4.4240
6 120	710  4.0774	691  3.8862	1401  3.9808
7 130	685  3.9338	671  3.7737	1356  3.8529
8 140	1882 10.8080	1935 10.8824	3817 10.8456
10 300	939  5.3925	927  5.2134	1866  5.3020
11 400	1419  8.1491	1427  8.0254	2846  8.0866
12 420	1926 11.0607	1990 11.1917	3916 11.1269
13 430	1042  5.9840	1070  6.0177	2112  6.0010
14 450	1568  9.0048	1642  9.2346	3210  9.1209
15 460	675  3.8764	706  3.9705	1381  3.9240
16 500	77  0.4422	72  0.4049	149  0.4234
22 800	168  0.9648	156  0.8773	324  0.9206
23 920	387  2.2225	432  2.4296	819  2.3271
24 980	611  3.5089	646  3.6331	1257  3.5716
25 990	608  3.4916	648  3.6443	1256  3.5688
26 1100	12  0.0689	22  0.1237	34  0.0966
28 1400	12  0.0689	23  0.1294	35  0.0994
30 1440	78  0.4479	107  0.6018	185  0.5257
31 1510	132  0.7581	159  0.8942	291  0.8268
32 1520	256  1.4702	299  1.6816	555  1.5770
U = 25	17413 11.1308	17781 11.3962	35194 11.2649

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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  0.0115	3  0.0169	5  0.0142
2 80	44  0.2527	38  0.2137	82  0.2330
3 90	558  3.2045	515  2.8964	1073  3.0488
4 100	2864 16.4475	0	2864  8.1378
5 110	758  4.3531	1867 10.5000	2625  7.4587
6 120	710  4.0774	954  5.3653	1664  4.7281
7 130	685  3.9338	855  4.8085	1540  4.3757
8 140	1882 10.8080	2750 15.4659	4632 13.1613
9 200	0	473  2.6601	473  1.3440
10 300	939  5.3925	0	939  2.6681
11 400	0	1705  9.5889	1705  4.8446
12 420	0	2461 13.8406	2461  6.9927
13 430	0	1117  6.2820	1117  3.1738
14 450	0	1748  9.8307	1748  4.9668
15 460	0	714  4.0155	714  2.0288
16 500	1526  8.7636	17  0.0956	1543  4.3843
17 600	982  5.6395	0	982  2.7902
18 620	1255  7.2073	0	1255  3.5659
19 630	924  5.3064	0	924  2.6254
20 650	1357  7.7930	0	1357  3.8558
21 660	663  3.8075	0	663  1.8838
22 800	168  0.9648	72  0.4049	240  0.6819
23 920	0	498  2.8007	498  1.4150
24 980	0	715  4.0211	715  2.0316
25 990	0	660  3.7118	660  1.8753
26 1100	267  1.5333	9  0.0506	276  0.7842
27 1370	287  1.6482	0	287  0.8155
28 1400	234  1.3438	22  0.1237	256  0.7274
29 1430	322  1.8492	0	322  0.9149
30 1440	520  2.9863	122  0.6861	642  1.8242
31 1510	0	167  0.9392	167  0.4745
32 1520	0	299  1.6816	299  0.8496
33 1700	29  0.1665	0	29  0.0824
34 2000	25  0.1436	0	25  0.0710
35 2140	40  0.2297	0	40  0.1137
36 2210	116  0.6662	0	116  0.3296
37 2220	256  1.4702	0	256  0.7274
U = 38	17413 13.7577	17781 11.9870	35194 12.8630

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Par E-W vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	2  0.0115	3  0.0169	5  0.0142
2 80	44  0.2527	38  0.2137	82  0.2330
3 90	558  3.2045	515  2.8964	1073  3.0488
4 100	0	2803 15.7640	2803  7.9644
5 110	1887 10.8367	799  4.4936	2686  7.6320
6 120	1002  5.7543	691  3.8862	1693  4.8105
7 130	843  4.8412	671  3.7737	1514  4.3019
8 140	2694 15.4712	1935 10.8824	4629 13.1528
9 200	473  2.7164	0	473  1.3440
10 300	0	927  5.2134	927  2.6340
11 400	1681  9.6537	0	1681  4.7764
12 420	2434 13.9781	0	2434  6.9160
13 430	1084  6.2252	0	1084  3.0801
14 450	1664  9.5561	0	1664  4.7281
15 460	681  3.9109	0	681  1.9350
16 500	25  0.1436	1543  8.6778	1568  4.4553
17 600	0	962  5.4103	962  2.7334
18 620	0	1323  7.4405	1323  3.7592
19 630	0	962  5.4103	962  2.7334
20 650	0	1431  8.0479	1431  4.0660
21 660	0	686  3.8581	686  1.9492
22 800	77  0.4422	156  0.8773	233  0.6620
23 920	445  2.5556	0	445  1.2644
24 980	706  4.0544	0	706  2.0060
25 990	615  3.5318	0	615  1.7475
26 1100	8  0.0459	288  1.6197	296  0.8411
27 1370	0	320  1.7997	320  0.9092
28 1400	12  0.0689	249  1.4004	261  0.7416
29 1430	0	373  2.0977	373  1.0598
30 1440	87  0.4996	541  3.0426	628  1.7844
31 1510	135  0.7753	0	135  0.3836
32 1520	256  1.4702	0	256  0.7274
33 1700	0	35  0.1968	35  0.0994
34 2000	0	34  0.1912	34  0.0966
35 2140	0	51  0.2868	51  0.1449
36 2210	0	146  0.8211	146  0.4148
37 2220	0	299  1.6816	299  0.8496
U = 38	17413 11.7385	17781 14.0925	35194 12.9278

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Par Both vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	2  0.0115	3  0.0169	5  0.0142
2 80	44  0.2527	38  0.2137	82  0.2330
3 90	558  3.2045	515  2.8964	1073  3.0488
5 110	1887 10.8367	1867 10.5000	3754 10.6666
6 120	1002  5.7543	954  5.3653	1956  5.5578
7 130	843  4.8412	855  4.8085	1698  4.8247
8 140	2694 15.4712	2750 15.4659	5444 15.4685
9 200	473  2.7164	473  2.6601	946  2.6880
16 500	939  5.3925	927  5.2134	1866  5.3020
17 600	1419  8.1491	1427  8.0254	2846  8.0866
18 620	1926 11.0607	1990 11.1917	3916 11.1269
19 630	1042  5.9840	1070  6.0177	2112  6.0010
20 650	1568  9.0048	1642  9.2346	3210  9.1209
21 660	675  3.8764	706  3.9705	1381  3.9240
22 800	77  0.4422	72  0.4049	149  0.4234
26 1100	168  0.9648	156  0.8773	324  0.9206
27 1370	387  2.2225	432  2.4296	819  2.3271
28 1400	167  0.9591	176  0.9898	343  0.9746
29 1430	483  2.7738	526  2.9582	1009  2.8670
30 1440	581  3.3366	614  3.4531	1195  3.3955
33 1700	12  0.0689	23  0.1294	35  0.0994
34 2000	29  0.1665	35  0.1968	64  0.1818
35 2140	55  0.3159	77  0.4330	132  0.3751
36 2210	126  0.7236	154  0.8661	280  0.7956
37 2220	256  1.4702	299  1.6816	555  1.5770
U = 26	17413 14.8170	17781 15.1279	35194 14.9741

Top     Main

LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	12  0.3259	9  0.2444	4  0.1086	2  0.0543
13	382 10.3748	297  8.0663	347  9.4242	257  6.9799
14	1828 49.6469	1763 47.8816	1843 50.0543	1780 48.3433
15	1222 33.1885	1334 36.2303	1242 33.7317	1356 36.8278
16	212  5.7577	251  6.8169	219  5.9479	258  7.0071
17	24  0.6518	26  0.7061	25  0.6790	27  0.7333
18	1  0.0272	1  0.0272	1  0.0272	1  0.0272
19	0	0	0	0
20	1  0.0272	1  0.0272	1  0.0272	1  0.0272
U = 9	3682 14.3590	3682 14.4370	3682 14.3829	3682 14.4622

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	5  0.1340	4  0.1072	0	0
13	34  0.9115	25  0.6702	31  0.8311	19  0.5094
14	566 15.1743	478 12.8150	574 15.3887	482 12.9223
15	1820 48.7936	1794 48.0965	1816 48.6863	1798 48.2038
16	1104 29.5979	1201 32.1984	1106 29.6515	1200 32.1716
17	178  4.7721	203  5.4424	180  4.8257	206  5.5228
18	22  0.5898	24  0.6434	22  0.5898	24  0.6434
19	1  0.0268	1  0.0268	1  0.0268	1  0.0268
U = 8	3730 15.2362	3730 15.3064	3730 15.2413	3730 15.3131

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
11	1  0.0106	1  0.0106	0	0
12	8  0.0846	8  0.0846	0	0
13	53  0.5607	47  0.4972	14  0.1481	11  0.1164
14	391  4.1363	330  3.4910	297  3.1419	236  2.4966
15	1950 20.6284	1814 19.1897	1910 20.2052	1756 18.5761
16	3982 42.1242	3988 42.1877	4093 43.2984	4090 43.2667
17	2414 25.5369	2530 26.7640	2465 26.0764	2597 27.4728
18	563  5.9558	628  6.6434	581  6.1462	655  6.9290
19	80  0.8463	94  0.9944	83  0.8780	95  1.0050
20	10  0.1058	12  0.1269	9  0.0952	12  0.1269
21	0	0	0	0
22	1  0.0106	1  0.0106	1  0.0106	1  0.0106
U = 12	9453 16.0950	9453 16.1555	9453 16.1451	9453 16.2100

Top     Main

LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0123	1  0.0123	0	0
11	0	0	0	0
12	0	0	0	0
13	6  0.0736	5  0.0613	1  0.0123	1  0.0123
14	36  0.4416	26  0.3189	18  0.2208	10  0.1227
15	394  4.8332	347  4.2566	356  4.3670	311  3.8150
16	1859 22.8042	1751 21.4794	1829 22.4362	1712 21.0010
17	3167 38.8494	3162 38.7880	3214 39.4259	3204 39.3032
18	2099 25.7483	2213 27.1467	2140 26.2512	2253 27.6374
19	523  6.4156	573  7.0289	523  6.4156	584  7.1639
20	67  0.8219	74  0.9078	71  0.8710	77  0.9446
U = 11	8152 17.0687	8152 17.1265	8152 17.0981	8152 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  0.0182	1  0.0182	0	0
13	0	0	0	0
14	2  0.0364	2  0.0364	2  0.0364	2  0.0364
15	32  0.5816	28  0.5089	26  0.4726	22  0.3999
16	393  7.1429	354  6.4340	358  6.5067	322  5.8524
17	1340 24.3548	1274 23.1552	1309 23.7913	1225 22.2646
18	1958 35.5871	1955 35.5325	1963 35.6779	1985 36.0778
19	1295 23.5369	1361 24.7365	1341 24.3730	1392 25.2999
20	398  7.2337	434  7.8880	415  7.5427	457  8.3061
21	73  1.3268	81  1.4722	77  1.3995	83  1.5085
22	9  0.1636	10  0.1818	10  0.1818	12  0.2181
23	1  0.0182	2  0.0364	1  0.0182	2  0.0364
U = 12	5502 18.0209	5502 18.0803	5502 18.0611	5502 18.1218

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	1  0.0341	1  0.0341	0	0
16	40  1.3652	31  1.0580	34  1.1604	25  0.8532
17	339 11.5700	319 10.8874	300 10.2389	284  9.6928
18	837 28.5666	822 28.0546	851 29.0444	823 28.0887
19	971 33.1399	966 32.9693	957 32.6621	966 32.9693
20	544 18.5666	581 19.8294	583 19.8976	610 20.8191
21	172  5.8703	176  6.0068	174  5.9386	185  6.3140
22	24  0.8191	32  1.0922	29  0.9898	35  1.1945
23	2  0.0683	2  0.0683	2  0.0683	2  0.0683
U = 9	2930 18.7710	2930 18.8225	2930 18.8201	2930 18.8727

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	47  3.8940	43  3.5626	42  3.4797	36  2.9826
18	198 16.4043	187 15.4930	178 14.7473	172 14.2502
19	384 31.8144	377 31.2345	395 32.7258	382 31.6487
20	352 29.1632	363 30.0746	352 29.1632	363 30.0746
21	168 13.9188	168 13.9188	177 14.6645	180 14.9130
22	49  4.0597	56  4.6396	54  4.4739	60  4.9710
23	9  0.7457	13  1.0771	9  0.7457	14  1.1599
U = 7	1207 19.4797	1207 19.5352	1207 19.5319	1207 19.5924

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	2  0.5025	0	0	0
18	28  7.0352	28  7.0352	27  6.7839	25  6.2814
19	96 24.1206	95 23.8693	95 23.8693	93 23.3668
20	127 31.9095	124 31.1558	124 31.1558	123 30.9045
21	85 21.3568	84 21.1055	89 22.3618	88 22.1106
22	45 11.3065	51 12.8141	44 11.0553	49 12.3116
23	14  3.5176	15  3.7688	17  4.2714	18  4.5226
24	1  0.2513	1  0.2513	2  0.5025	2  0.5025
U = 8	398 20.1583	398 20.2111	398 20.2186	398 20.2638

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LoTT 22 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
18	4  3.3058	4  3.3058	3  2.4793	3  2.4793
19	18 14.8760	17 14.0496	16 13.2231	15 12.3967
20	38 31.4050	36 29.7521	40 33.0579	37 30.5785
21	32 26.4463	34 28.0992	32 26.4463	35 28.9256
22	16 13.2231	17 14.0496	17 14.0496	18 14.8760
23	9  7.4380	9  7.4380	9  7.4380	9  7.4380
24	4  3.3058	3  2.4793	4  3.3058	3  2.4793
25	0	1  0.8264	0	1  0.8264
U = 8	121 20.6694	121 20.7190	121 20.7190	121 20.7769

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LoTT 23 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
20	6 31.5789	5 26.3158	6 31.5789	5 26.3158
21	7 36.8421	7 36.8421	6 31.5789	7 36.8421
22	3 15.7895	4 21.0526	3 15.7895	2 10.5263
23	2 10.5263	1  5.2632	3 15.7895	3 15.7895
24	1  5.2632	2 10.5263	1  5.2632	2 10.5263
U = 5	19 21.2105	19 21.3684	19 21.3158	19 21.4737

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LoTT 24 trumps

No data available

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LoTT 25 trumps

No data available

Double-dummy stats for 35,194 deals

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© 2020 Richard Pavlicek