Main   Stats 8H30 by Richard Pavlicek  

RP BBO Matches

Double-dummy stats for 28,032 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	492  1.7551	486  1.7337	447  1.5946	450  1.6053	9913593383  1.5612
1	1095  3.9063	1088  3.8813	1011  3.6066	1017  3.6280	23145762677  3.6449
2	1698  6.0574	1716  6.1216	1573  5.6114	1575  5.6186	37977932067  5.9806
3	2374  8.4689	2383  8.5010	2274  8.1122	2270  8.0979	52871069846  8.3260
4	3045 10.8626	3022 10.7805	2922 10.4238	2915 10.3988	67524194742 10.6335
5	3467 12.3680	3444 12.2860	3545 12.6463	3536 12.6142	80101714628 12.6142
6	3947 14.0803	3930 14.0197	4093 14.6012	4107 14.6511	90730441332 14.2880
7	3713 13.2456	3725 13.2884	3608 12.8710	3629 12.9459	84402158672 13.2914
8	3159 11.2693	3189 11.3763	3107 11.0838	3109 11.0909	71237104568 11.2182
9	2117  7.5521	2122  7.5699	2208  7.8767	2215  7.9017	47702049563  7.5120
10	1395  4.9765	1404  5.0086	1504  5.3653	1480  5.2797	32569065440  5.1289
11	809  2.8860	802  2.8610	932  3.3248	930  3.3176	20600866092  3.2442
12	519  1.8515	521  1.8586	581  2.0726	571  2.0370	11865157167  1.8685
13	202  0.7206	200  0.7135	227  0.8098	228  0.8134	4372449423  0.6886
U = 14	28032  5.9514	28032  5.9559	28032  6.0698	28032  6.0650	635013559600  6.0066

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Spade make = sm

Value	North	South	West	East	Empirical
0	307  1.0952	311  1.1094	303  1.0809	299  1.0666	6949893015  1.0944
1	813  2.9003	805  2.8717	758  2.7041	771  2.7504	17646817412  2.7790
2	1523  5.4331	1510  5.3867	1393  4.9693	1392  4.9658	32992452829  5.1956
3	2204  7.8624	2198  7.8410	2188  7.8054	2180  7.7768	50476652542  7.9489
4	2946 10.5094	2984 10.6450	2857 10.1919	2858 10.1955	66372975438 10.4522
5	3496 12.4715	3488 12.4429	3555 12.6819	3553 12.6748	77821925315 12.2552
6	3640 12.9852	3610 12.8781	3633 12.9602	3624 12.9281	82551854345 13.0000
7	3588 12.7997	3586 12.7925	3491 12.4536	3509 12.5178	80760822737 12.7180
8	3245 11.5761	3265 11.6474	3299 11.7687	3292 11.7437	73465633954 11.5691
9	2542  9.0682	2548  9.0896	2661  9.4927	2666  9.5106	60489162482  9.5256
10	1948  6.9492	1940  6.9207	1959  6.9884	1945  6.9385	43661750688  6.8757
11	1099  3.9205	1109  3.9562	1229  4.3843	1241  4.4271	26377787548  4.1539
12	543  1.9371	540  1.9264	551  1.9656	545  1.9442	12128527136  1.9100
13	138  0.4923	138  0.4923	155  0.5529	157  0.5601	3317304159  0.5224
U = 14	28032  6.2574	28032  6.2601	28032  6.3364	28032  6.3360	635013559600  6.2957

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Heart make = hm

Value	North	South	West	East	Empirical
0	337  1.2022	333  1.1879	312  1.1130	306  1.0916	6949893015  1.0944
1	803  2.8646	812  2.8967	773  2.7576	776  2.7683	17646817412  2.7790
2	1507  5.3760	1489  5.3118	1397  4.9836	1388  4.9515	32992452829  5.1956
3	2285  8.1514	2289  8.1657	2195  7.8303	2195  7.8303	50476652542  7.9489
4	2977 10.6200	2976 10.6164	2946 10.5094	2937 10.4773	66372975438 10.4522
5	3500 12.4857	3507 12.5107	3403 12.1397	3406 12.1504	77821925315 12.2552
6	3560 12.6998	3545 12.6463	3566 12.7212	3584 12.7854	82551854345 13.0000
7	3519 12.5535	3531 12.5963	3503 12.4964	3531 12.5963	80760822737 12.7180
8	3175 11.3263	3187 11.3691	3304 11.7865	3285 11.7188	73465633954 11.5691
9	2692  9.6033	2681  9.5641	2734  9.7531	2745  9.7924	60489162482  9.5256
10	1864  6.6495	1864  6.6495	1961  6.9956	1962  6.9991	43661750688  6.8757
11	1125  4.0133	1130  4.0311	1189  4.2416	1175  4.1916	26377787548  4.1539
12	541  1.9299	539  1.9228	584  2.0833	575  2.0512	12128527136  1.9100
13	147  0.5244	149  0.5315	165  0.5886	167  0.5957	3317304159  0.5224
U = 14	28032  6.2471	28032  6.2494	28032  6.3409	28032  6.3405	635013559600  6.2957

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Diamond make = dm

Value	North	South	West	East	Empirical
0	362  1.2914	364  1.2985	268  0.9561	275  0.9810	6949893015  1.0944
1	788  2.8111	783  2.7932	791  2.8218	784  2.7968	17646817412  2.7790
2	1467  5.2333	1463  5.2190	1380  4.9229	1376  4.9087	32992452829  5.1956
3	2335  8.3298	2318  8.2691	2121  7.5664	2134  7.6127	50476652542  7.9489
4	2925 10.4345	2959 10.5558	2932 10.4595	2928 10.4452	66372975438 10.4522
5	3331 11.8828	3321 11.8472	3535 12.6106	3530 12.5928	77821925315 12.2552
6	3658 13.0494	3647 13.0101	3681 13.1314	3648 13.0137	82551854345 13.0000
7	3641 12.9887	3626 12.9352	3529 12.5892	3569 12.7319	80760822737 12.7180
8	3320 11.8436	3319 11.8400	3173 11.3192	3191 11.3834	73465633954 11.5691
9	2644  9.4321	2679  9.5569	2716  9.6889	2683  9.5712	60489162482  9.5256
10	1794  6.3998	1785  6.3677	1983  7.0741	1989  7.0955	43661750688  6.8757
11	1107  3.9491	1102  3.9312	1183  4.2202	1179  4.2059	26377787548  4.1539
12	538  1.9192	540  1.9264	562  2.0049	569  2.0298	12128527136  1.9100
13	122  0.4352	126  0.4495	178  0.6350	177  0.6314	3317304159  0.5224
U = 14	28032  6.2440	28032  6.2472	28032  6.3440	28032  6.3440	635013559600  6.2957

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Club make = cm

Value	North	South	West	East	Empirical
0	333  1.1879	339  1.2093	326  1.1630	324  1.1558	6949893015  1.0944
1	880  3.1393	858  3.0608	721  2.5721	720  2.5685	17646817412  2.7790
2	1464  5.2226	1476  5.2654	1431  5.1049	1430  5.1013	32992452829  5.1956
3	2135  7.6163	2160  7.7055	2147  7.6591	2172  7.7483	50476652542  7.9489
4	2994 10.6807	2984 10.6450	2889 10.3061	2861 10.2062	66372975438 10.4522
5	3582 12.7783	3577 12.7604	3346 11.9364	3335 11.8971	77821925315 12.2552
6	3655 13.0387	3628 12.9424	3618 12.9067	3644 12.9994	82551854345 13.0000
7	3611 12.8817	3609 12.8746	3639 12.9816	3632 12.9566	80760822737 12.7180
8	3124 11.1444	3126 11.1515	3389 12.0898	3383 12.0684	73465633954 11.5691
9	2590  9.2394	2606  9.2965	2667  9.5141	2672  9.5320	60489162482  9.5256
10	1872  6.6781	1872  6.6781	1887  6.7316	1913  6.8243	43661750688  6.8757
11	1111  3.9633	1128  4.0240	1191  4.2487	1166  4.1595	26377787548  4.1539
12	530  1.8907	520  1.8550	606  2.1618	606  2.1618	12128527136  1.9100
13	151  0.5387	149  0.5315	175  0.6243	174  0.6207	3317304159  0.5224
U = 14	28032  6.2383	28032  6.2396	28032  6.3543	28032  6.3536	635013559600  6.2957

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Longest fit = lf

Value	North	South	West	East	Theoretical
7	4441 15.8426	4441 15.8426	4498 16.0459	4498 16.0459	13006498437504 15.7363
8	12800 45.6621	12800 45.6621	12853 45.8512	12853 45.8512	37809373653909 45.7447
9	7891 28.1500	7891 28.1500	7875 28.0929	7875 28.0929	23225440992325 28.0999
10	2427  8.6580	2427  8.6580	2318  8.2691	2318  8.2691	7168401039800  8.6729
11	434  1.5482	434  1.5482	435  1.5518	435  1.5518	1307227435020  1.5816
12	37  0.1320	37  0.1320	52  0.1855	52  0.1855	130732315831  0.1582
13	2  0.0071	2  0.0071	1  0.0036	1  0.0036	5414950295  0.0066
U = 7	28032  8.3483	28032  8.3483	28032  8.3400	28032  8.3400	82653088824684  8.3512

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Longest fit make = lm

Value	North	South	West	East	Empirical
0	2  0.0071	2  0.0071	1  0.0036	1  0.0036	22876394  0.0036
1	10  0.0357	12  0.0428	9  0.0321	10  0.0357	251246691  0.0396
2	81  0.2890	78  0.2783	74  0.2640	75  0.2676	1556124656  0.2451
3	263  0.9382	261  0.9311	241  0.8597	241  0.8597	5892722789  0.9280
4	725  2.5863	737  2.6291	698  2.4900	691  2.4650	16409883547  2.5842
5	1702  6.0716	1707  6.0895	1618  5.7720	1615  5.7613	35643298455  5.6130
6	2734  9.7531	2684  9.5748	2658  9.4820	2665  9.5070	62031256233  9.7685
7	4111 14.6654	4135 14.7510	3890 13.8770	3907 13.9376	89999744190 14.1729
8	4888 17.4372	4876 17.3944	4830 17.2303	4822 17.2018	110099842849 17.3382
9	4922 17.5585	4938 17.6156	5030 17.9438	5022 17.9152	113173167471 17.8222
10	4171 14.8794	4181 14.9151	4206 15.0043	4233 15.1006	95919764225 15.1052
11	2697  9.6211	2699  9.6283	2872 10.2454	2843 10.1420	64150449024 10.1022
12	1356  4.8373	1348  4.8088	1455  5.1905	1458  5.2012	31112561346  4.8995
13	370  1.3199	374  1.3342	450  1.6053	449  1.6017	8750621730  1.3780
U = 14	28032  8.3267	28032  8.3287	28032  8.4122	28032  8.4108	635013559600  8.3753

Top     Main

Best fit = bf

Value	North	South	West	East	Empirical
5	1  0.0036	1  0.0036	2  0.0071	2  0.0071	10461673  0.0016
6	54  0.1926	46  0.1641	50  0.1784	53  0.1891	1222077835  0.1924
7	4681 16.6988	4685 16.7130	4723 16.8486	4723 16.8486	105351212255 16.5904
8	12679 45.2305	12679 45.2305	12729 45.4088	12726 45.3981	287234089436 45.2327
9	7731 27.5792	7740 27.6113	7746 27.6327	7745 27.6291	175437245133 27.6273
10	2417  8.6223	2412  8.6045	2298  8.1978	2299  8.2013	54701014789  8.6141
11	430  1.5340	430  1.5340	431  1.5375	431  1.5375	10008187498  1.5761
12	37  0.1320	37  0.1320	52  0.1855	52  0.1855	1006364496  0.1585
13	2  0.0071	2  0.0071	1  0.0036	1  0.0036	42906485  0.0068
U = 9	28032  8.3289	28032  8.3293	28032  8.3217	28032  8.3216	635013559600  8.3327

Top     Main

Best fit make = bm

Value	North	South	West	East	Empirical
0	1  0.0036	1  0.0036	0	0	1513990  0.0002
1	8  0.0285	9  0.0321	6  0.0214	6  0.0214	132231913  0.0208
2	74  0.2640	71  0.2533	63  0.2247	63  0.2247	1339624042  0.2110
3	250  0.8918	249  0.8883	238  0.8490	240  0.8562	5671089748  0.8931
4	707  2.5221	714  2.5471	683  2.4365	672  2.3973	16177592015  2.5476
5	1694  6.0431	1706  6.0859	1612  5.7506	1616  5.7648	35415185536  5.5771
6	2718  9.6961	2672  9.5320	2628  9.3750	2631  9.3857	61775936908  9.7283
7	4099 14.6226	4124 14.7118	3880 13.8413	3900 13.9127	89711329037 14.1275
8	4880 17.4087	4854 17.3159	4835 17.2481	4819 17.1911	109962826727 17.3166
9	4946 17.6441	4966 17.7155	5028 17.9366	5029 17.9402	113305081446 17.8429
10	4169 14.8723	4191 14.9508	4230 15.0899	4249 15.1577	96187452851 15.1473
11	2707  9.6568	2704  9.6461	2880 10.2740	2856 10.1884	64547826059 10.1648
12	1397  4.9836	1384  4.9372	1487  5.3047	1490  5.3154	31646530587  4.9836
13	382  1.3627	387  1.3806	462  1.6481	461  1.6445	9139338741  1.4392
U = 14	28032  8.3460	28032  8.3477	28032  8.4307	28032  8.4296	635013559600  8.3938

Top     Main

Highest make = H

Value	North	South	West	East	Empirical
0 —	1  0.0036	1  0.0036	0	0	1513990  0.0002
1  1	0	0	0	0	4027214  0.0006
2  1	1  0.0036	2  0.0071	1  0.0036	1  0.0036	11612306  0.0018
3  1	2  0.0071	2  0.0071	1  0.0036	1  0.0036	25874094  0.0041
4  1	3  0.0107	3  0.0107	2  0.0071	2  0.0071	53231899  0.0084
5 N 1	2  0.0071	2  0.0071	2  0.0071	2  0.0071	36956503  0.0058
6  2	3  0.0107	3  0.0107	7  0.0250	8  0.0285	120316810  0.0189
7  2	11  0.0392	10  0.0357	12  0.0428	11  0.0392	198635528  0.0313
8  2	23  0.0820	24  0.0856	19  0.0678	20  0.0713	326628269  0.0514
9  2	24  0.0856	23  0.0820	18  0.0642	19  0.0678	500918833  0.0789
10 N 2	12  0.0428	10  0.0357	7  0.0250	5  0.0178	185145875  0.0292
11  3	26  0.0928	25  0.0892	24  0.0856	25  0.0892	708986520  0.1116
12  3	48  0.1712	51  0.1819	51  0.1819	51  0.1819	998658286  0.1573
13  3	65  0.2319	61  0.2176	59  0.2105	60  0.2140	1395338886  0.2197
14  3	79  0.2818	80  0.2854	77  0.2747	77  0.2747	1910125869  0.3008
15 N 3	30  0.1070	30  0.1070	26  0.0928	27  0.0963	600509115  0.0946
16  4	111  0.3960	116  0.4138	94  0.3353	93  0.3318	2289229042  0.3605
17  4	130  0.4638	127  0.4531	135  0.4816	134  0.4780	2994612265  0.4716
18  4	158  0.5636	158  0.5636	165  0.5886	160  0.5708	3903975403  0.6148
19  4	227  0.8098	233  0.8312	205  0.7313	204  0.7277	5081012026  0.8001
20 N 4	75  0.2676	72  0.2568	71  0.2533	71  0.2533	1713322270  0.2698
21  5	300  1.0702	290  1.0345	234  0.8348	234  0.8348	5390835002  0.8489
22  5	355  1.2664	357  1.2735	313  1.1166	311  1.1094	6765583620  1.0654
23  5	402  1.4341	407  1.4519	379  1.3520	383  1.3663	8498769442  1.3384
24  5	455  1.6231	461  1.6445	483  1.7230	486  1.7337	10602398413  1.6696
25 N 5	163  0.5815	175  0.6243	190  0.6778	185  0.6600	3790350430  0.5969
26  6	460  1.6410	456  1.6267	405  1.4448	410  1.4626	9966643603  1.5695
27  6	560  1.9977	553  1.9727	492  1.7551	496  1.7694	12109712021  1.9070
28  6	625  2.2296	618  2.2046	649  2.3152	644  2.2974	14729112069  2.3195
29  6	782  2.7897	769  2.7433	785  2.8004	789  2.8146	17910202521  2.8204
30 N 6	266  0.9489	248  0.8847	277  0.9882	272  0.9703	6534760658  1.0291
31  7	730  2.6042	728  2.5970	697  2.4864	708  2.5257	15075437352  2.3740
32  7	861  3.0715	851  3.0358	787  2.8075	780  2.7825	17958650211  2.8281
33  7	918  3.2748	928  3.3105	886  3.1607	888  3.1678	21361994439  3.3640
34  7	1116  3.9812	1142  4.0739	1094  3.9027	1100  3.9241	25528480621  4.0201
35 N 7	428  1.5268	436  1.5554	396  1.4127	397  1.4162	9154206125  1.4416
36  8	808  2.8824	807  2.8789	877  3.1286	872  3.1107	18791511418  2.9592
37  8	966  3.4461	976  3.4817	909  3.2427	919  3.2784	22088800625  3.4785
38  8	1185  4.2273	1180  4.2095	1164  4.1524	1154  4.1167	26002102208  4.0947
39  8	1342  4.7874	1316  4.6946	1348  4.8088	1356  4.8373	30496109913  4.8024
40 N 8	578  2.0619	573  2.0441	501  1.7872	492  1.7551	12173466153  1.9170
41  9	858  3.0608	853  3.0430	815  2.9074	828  2.9538	19155398988  3.0165
42  9	934  3.3319	958  3.4175	1036  3.6958	1028  3.6672	22679953280  3.5716
43  9	1207  4.3058	1187  4.2344	1205  4.2987	1209  4.3129	26645003052  4.1960
44  9	1339  4.7767	1356  4.8373	1339  4.7767	1329  4.7410	31116921638  4.9002
45 N 9	595  2.1226	607  2.1654	647  2.3081	645  2.3009	13776418529  2.1695
46  10	684  2.4401	693  2.4722	669  2.3866	669  2.3866	15678126613  2.4689
47  10	795  2.8360	787  2.8075	862  3.0751	874  3.1179	18845651711  2.9678
48  10	925  3.2998	934  3.3319	970  3.4603	984  3.5103	22346330376  3.5190
49  10	1209  4.3129	1196  4.2666	1133  4.0418	1142  4.0739	26213758053  4.1281
50 N 10	611  2.1797	620  2.2118	627  2.2367	609  2.1725	13730953401  2.1623
51  11	398  1.4198	394  1.4055	420  1.4983	400  1.4269	9697289588  1.5271
52  11	501  1.7872	494  1.7623	501  1.7872	501  1.7872	11914043914  1.8762
53  11	612  2.1832	614  2.1904	634  2.2617	633  2.2581	14305376462  2.2528
54  11	734  2.6184	746  2.6612	808  2.8824	806  2.8753	16882127404  2.6585
55 N 11	494  1.7623	491  1.7516	554  1.9763	555  1.9799	12637216524  1.9901
56  12	176  0.6279	170  0.6064	199  0.7099	202  0.7206	4042066459  0.6365
57  12	206  0.7349	207  0.7384	222  0.7920	229  0.8169	4996576787  0.7868
58  12	278  0.9917	277  0.9882	283  1.0096	285  1.0167	6084938998  0.9582
59  12	320  1.1416	313  1.1166	316  1.1273	314  1.1201	7241748711  1.1404
60 N 12	436  1.5554	441  1.5732	480  1.7123	477  1.7016	9797000990  1.5428
61  13	38  0.1356	35  0.1249	55  0.1962	53  0.1891	950467974  0.1497
62  13	36  0.1284	39  0.1391	52  0.1855	50  0.1784	1125576093  0.1773
63  13	51  0.1819	54  0.1926	65  0.2319	66  0.2354	1297292873  0.2043
64  13	62  0.2212	62  0.2212	71  0.2533	69  0.2461	1491113912  0.2348
65 N 13	202  0.7206	200  0.7135	227  0.8098	228  0.8134	4372449423  0.6886
U = 66	28032 39.8506	28032 39.8584	28032 40.2781	28032 40.2697	635013559600 40.0915

Top     Main

On-lead highest make = O

Value	North	South	West	East	Empirical
0 —	1  0.0036	1  0.0036	0	0	1241472  0.0002
1  1	0	0	0	0	3239939  0.0005
2  1	1  0.0036	1  0.0036	1  0.0036	1  0.0036	9447300  0.0015
3  1	2  0.0071	2  0.0071	1  0.0036	1  0.0036	21574362  0.0034
4  1	3  0.0107	3  0.0107	1  0.0036	1  0.0036	42527988  0.0067
5 N 1	2  0.0071	1  0.0036	3  0.0107	3  0.0107	26388851  0.0042
6  2	3  0.0107	2  0.0071	4  0.0143	4  0.0143	84995416  0.0134
7  2	6  0.0214	9  0.0321	9  0.0321	8  0.0285	142224249  0.0224
8  2	13  0.0464	12  0.0428	16  0.0571	15  0.0535	231292299  0.0364
9  2	17  0.0606	18  0.0642	13  0.0464	15  0.0535	363266834  0.0572
10 N 2	8  0.0285	6  0.0214	6  0.0214	6  0.0214	127432564  0.0201
11  3	18  0.0642	19  0.0678	20  0.0713	20  0.0713	493076363  0.0776
12  3	40  0.1427	40  0.1427	30  0.1070	27  0.0963	693513539  0.1092
13  3	50  0.1784	54  0.1926	39  0.1391	41  0.1463	1000823292  0.1576
14  3	63  0.2247	56  0.1998	46  0.1641	56  0.1998	1395369165  0.2197
15 N 3	22  0.0785	27  0.0963	17  0.0606	17  0.0606	517057969  0.0814
16  4	70  0.2497	69  0.2461	69  0.2461	65  0.2319	1644254032  0.2589
17  4	96  0.3425	95  0.3389	101  0.3603	106  0.3781	2174377737  0.3424
18  4	121  0.4316	125  0.4459	121  0.4316	125  0.4459	2890268054  0.4552
19  4	176  0.6279	165  0.5886	169  0.6029	156  0.5565	3825111648  0.6024
20 N 4	71  0.2533	63  0.2247	63  0.2247	70  0.2497	1603391433  0.2525
21  5	209  0.7456	212  0.7563	172  0.6136	163  0.5815	3998705776  0.6297
22  5	234  0.8348	250  0.8918	228  0.8134	219  0.7813	5059967561  0.7968
23  5	293  1.0452	291  1.0381	280  0.9989	269  0.9596	6444920473  1.0149
24  5	371  1.3235	368  1.3128	373  1.3306	361  1.2878	8171172220  1.2868
25 N 5	189  0.6742	185  0.6600	171  0.6100	180  0.6421	3680646693  0.5796
26  6	378  1.3485	375  1.3378	318  1.1344	327  1.1665	7757580348  1.2216
27  6	452  1.6124	444  1.5839	397  1.4162	397  1.4162	9525027771  1.5000
28  6	540  1.9264	558  1.9906	521  1.8586	533  1.9014	11764658491  1.8527
29  6	620  2.2118	617  2.2011	651  2.3223	648  2.3116	14509280677  2.2849
30 N 6	269  0.9596	285  1.0167	247  0.8811	253  0.9025	6740920718  1.0615
31  7	583  2.0798	585  2.0869	554  1.9763	554  1.9763	12379732192  1.9495
32  7	701  2.5007	691  2.4650	609  2.1725	621  2.2153	14970987161  2.3576
33  7	759  2.7076	769  2.7433	786  2.8039	789  2.8146	18071185110  2.8458
34  7	936  3.3390	928  3.3105	953  3.3997	949  3.3854	21830271641  3.4378
35 N 7	509  1.8158	505  1.8015	515  1.8372	500  1.7837	11424585988  1.7991
36  8	736  2.6256	727  2.5935	756  2.6969	756  2.6969	16339498138  2.5731
37  8	867  3.0929	867  3.0929	817  2.9145	827  2.9502	19709383181  3.1038
38  8	1090  3.8884	1077  3.8420	1072  3.8242	1066  3.8028	23605758352  3.7174
39  8	1282  4.5733	1276  4.5519	1232  4.3950	1243  4.4342	28085928185  4.4229
40 N 8	739  2.6363	759  2.7076	681  2.4294	689  2.4579	16270929517  2.5623
41  9	778  2.7754	765  2.7290	760  2.7112	758  2.7041	17610462720  2.7732
42  9	921  3.2855	937  3.3426	964  3.4389	938  3.3462	21330730539  3.3591
43  9	1171  4.1774	1154  4.1167	1161  4.1417	1154  4.1167	25409571822  4.0014
44  9	1303  4.6483	1317  4.6982	1319  4.7053	1304  4.6518	30048695498  4.7320
45 N 9	869  3.1000	881  3.1428	913  3.2570	927  3.3069	20125215758  3.1693
46  10	627  2.2367	631  2.2510	665  2.3723	666  2.3759	15180947336  2.3906
47  10	799  2.8503	803  2.8646	831  2.9645	830  2.9609	18360372398  2.8913
48  10	964  3.4389	962  3.4318	982  3.5031	982  3.5031	21797024413  3.4325
49  10	1104  3.9384	1091  3.8920	1054  3.7600	1061  3.7850	25500986557  4.0158
50 N 10	1002  3.5745	1012  3.6102	1043  3.7207	1033  3.6851	22971290435  3.6174
51  11	453  1.6160	454  1.6196	438  1.5625	441  1.5732	10149896990  1.5984
52  11	506  1.8051	509  1.8158	532  1.8978	523  1.8657	12077115810  1.9019
53  11	597  2.1297	592  2.1119	630  2.2474	630  2.2474	14119413033  2.2235
54  11	689  2.4579	685  2.4436	732  2.6113	755  2.6934	16390731570  2.5812
55 N 11	981  3.4996	981  3.4996	1024  3.6530	1011  3.6066	22941283147  3.6127
56  12	210  0.7491	204  0.7277	270  0.9632	280  0.9989	5500720419  0.8662
57  12	281  1.0024	270  0.9632	269  0.9596	271  0.9668	6227026988  0.9806
58  12	316  1.1273	306  1.0916	288  1.0274	280  0.9989	7033151127  1.1076
59  12	318  1.1344	335  1.1951	348  1.2414	353  1.2593	7852931458  1.2367
60 N 12	778  2.7754	787  2.8075	836  2.9823	850  3.0322	17849476370  2.8109
61  13	87  0.3104	84  0.2997	110  0.3924	103  0.3674	2037906651  0.3209
62  13	78  0.2783	79  0.2818	116  0.4138	117  0.4174	2187019556  0.3444
63  13	103  0.3674	99  0.3532	110  0.3924	111  0.3960	2314542960  0.3645
64  13	110  0.3924	107  0.3817	89  0.3175	81  0.2890	2451437963  0.3860
65 N 13	447  1.5946	450  1.6053	486  1.7337	492  1.7551	9913593383  1.5612
U = 66	28032 41.7821	28032 41.7810	28032 42.2019	28032 42.2113	635013559600 42.0216

Top     Main

Best scoring make = B

Value	North	South	West	East	Empirical
0 —	5399 19.2601	5367 19.1460	5183 18.4896	5181 18.4824	119358998783 18.7963
1 1	730  2.6042	728  2.5970	697  2.4864	708  2.5257	15075437352  2.3740
2 1	861  3.0715	851  3.0358	787  2.8075	780  2.7825	17958650211  2.8281
3 1	918  3.2748	928  3.3105	886  3.1607	888  3.1678	21361994439  3.3640
4 1	1116  3.9812	1142  4.0739	1094  3.9027	1100  3.9241	25528480621  4.0201
5 1 N	428  1.5268	436  1.5554	396  1.4127	397  1.4162	9154206126  1.4416
6 2	808  2.8824	807  2.8789	877  3.1286	872  3.1107	18791511418  2.9592
7 2	966  3.4461	976  3.4817	909  3.2427	919  3.2784	22088800625  3.4785
8 2	1185  4.2273	1180  4.2095	1164  4.1524	1154  4.1167	26002102208  4.0947
9 2	1342  4.7874	1316  4.6946	1348  4.8088	1356  4.8373	30496109913  4.8024
10 3	666  2.3759	666  2.3759	647  2.3081	650  2.3188	15168880833  2.3887
11 3	716  2.5542	729  2.6006	813  2.9003	797  2.8432	17647767441  2.7791
12 2 N	988  3.5245	989  3.5281	892  3.1821	901  3.2142	21192170146  3.3373
13 4	371  1.3235	373  1.3306	373  1.3306	371  1.3235	8352078922  1.3153
14 4	421  1.5019	426  1.5197	463  1.6517	474  1.6909	10306791805  1.6231
15 3	1378  4.9158	1354  4.8302	1363  4.8623	1371  4.8908	30412174290  4.7892
16 3	1516  5.4081	1522  5.4295	1522  5.4295	1512  5.3938	35369266210  5.5698
17 3 N	934  3.3319	955  3.4068	1001  3.5709	998  3.5602	21621810315  3.4049
18 5	190  0.6778	193  0.6885	203  0.7242	204  0.7277	4918954504  0.7746
19 5	278  0.9917	280  0.9989	258  0.9204	261  0.9311	6307419874  0.9933
20 4	1022  3.6458	1023  3.6494	1079  3.8492	1083  3.8634	24619813919  3.8771
21 4	1324  4.7232	1310  4.6732	1232  4.3950	1238  4.4164	28756868129  4.5285
22 4 N	830  2.9609	832  2.9680	879  3.1357	850  3.0322	19299318906  3.0392
23 5	612  2.1832	614  2.1904	634  2.2617	633  2.2581	14305376462  2.2528
24 5	734  2.6184	746  2.6612	808  2.8824	806  2.8753	16882127404  2.6585
25 5 N	494  1.7623	491  1.7516	554  1.9763	555  1.9799	12637216524  1.9901
26 6	176  0.6279	170  0.6064	199  0.7099	202  0.7206	4042066459  0.6365
27 6	206  0.7349	207  0.7384	222  0.7920	229  0.8169	4996576787  0.7868
28 6	278  0.9917	277  0.9882	283  1.0096	285  1.0167	6084938998  0.9582
29 6	320  1.1416	313  1.1166	316  1.1273	314  1.1201	7241748711  1.1404
30 6 N	436  1.5554	441  1.5732	480  1.7123	477  1.7016	9797000990  1.5428
31 7	38  0.1356	35  0.1249	55  0.1962	53  0.1891	950467974  0.1497
32 7	36  0.1284	39  0.1391	52  0.1855	50  0.1784	1125576093  0.1773
33 7	51  0.1819	54  0.1926	65  0.2319	66  0.2354	1297292873  0.2043
34 7	62  0.2212	62  0.2212	71  0.2533	69  0.2461	1491113912  0.2348
35 7 N	202  0.7206	200  0.7135	227  0.8098	228  0.8134	4372449423  0.6886
U = 36	28032 11.2590	28032 11.2672	28032 11.6051	28032 11.5947	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  0.0144	3  0.0212	5  0.0178
2 80	36  0.2596	30  0.2118	66  0.2354
3 90	448  3.2300	410  2.8951	858  3.0608
4 100	2290 16.5105	2211 15.6122	4501 16.0566
5 110	595  4.2898	635  4.4838	1230  4.3878
6 120	594  4.2826	547  3.8624	1141  4.0703
7 130	541  3.9005	537  3.7918	1078  3.8456
8 140	1494 10.7714	1522 10.7471	3016 10.7591
10 300	731  5.2704	730  5.1546	1461  5.2119
11 400	1141  8.2264	1148  8.1062	2289  8.1657
12 420	1537 11.0815	1597 11.2767	3134 11.1801
13 430	839  6.0490	864  6.1008	1703  6.0752
14 450	1245  8.9762	1325  9.3560	2570  9.1681
15 460	526  3.7924	582  4.1096	1108  3.9526
16 500	62  0.4470	58  0.4095	120  0.4281
22 800	138  0.9950	126  0.8897	264  0.9418
23 920	304  2.1918	339  2.3937	643  2.2938
24 980	485  3.4968	518  3.6577	1003  3.5781
25 990	478  3.4463	515  3.6365	993  3.5424
26 1100	9  0.0649	17  0.1200	26  0.0928
28 1400	11  0.0793	13  0.0918	24  0.0856
30 1440	57  0.4110	81  0.5720	138  0.4923
31 1510	105  0.7570	125  0.8826	230  0.8205
32 1520	202  1.4564	229  1.6170	431  1.5375
U = 25	13870 11.1009	14162 11.3950	28032 11.2495

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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  0.0144	3  0.0212	5  0.0178
2 80	36  0.2596	30  0.2118	66  0.2354
3 90	448  3.2300	410  2.8951	858  3.0608
4 100	2290 16.5105	0	2290  8.1692
5 110	595  4.2898	1479 10.4434	2074  7.3987
6 120	594  4.2826	751  5.3029	1345  4.7981
7 130	541  3.9005	685  4.8369	1226  4.3736
8 140	1494 10.7714	2178 15.3792	3672 13.0993
9 200	0	359  2.5350	359  1.2807
10 300	731  5.2704	0	731  2.6077
11 400	0	1363  9.6243	1363  4.8623
12 420	0	1971 13.9175	1971  7.0313
13 430	0	903  6.3762	903  3.2213
14 450	0	1407  9.9350	1407  5.0193
15 460	0	588  4.1520	588  2.0976
16 500	1225  8.8320	14  0.0989	1239  4.4199
17 600	797  5.7462	0	797  2.8432
18 620	992  7.1521	0	992  3.5388
19 630	743  5.3569	0	743  2.6505
20 650	1078  7.7722	0	1078  3.8456
21 660	515  3.7130	0	515  1.8372
22 800	138  0.9950	58  0.4095	196  0.6992
23 920	0	395  2.7892	395  1.4091
24 980	0	571  4.0319	571  2.0370
25 990	0	524  3.7000	524  1.8693
26 1100	215  1.5501	8  0.0565	223  0.7955
27 1370	224  1.6150	0	224  0.7991
28 1400	198  1.4275	17  0.1200	215  0.7670
29 1430	248  1.7880	0	248  0.8847
30 1440	402  2.8983	88  0.6214	490  1.7480
31 1510	0	131  0.9250	131  0.4673
32 1520	0	229  1.6170	229  0.8169
33 1700	20  0.1442	0	20  0.0713
34 2000	21  0.1514	0	21  0.0749
35 2140	29  0.2091	0	29  0.1035
36 2210	92  0.6633	0	92  0.3282
37 2220	202  1.4564	0	202  0.7206
U = 38	13870 13.7208	14162 11.9791	28032 12.8409

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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  0.0144	3  0.0212	5  0.0178
2 80	36  0.2596	30  0.2118	66  0.2354
3 90	448  3.2300	410  2.8951	858  3.0608
4 100	0	2211 15.6122	2211  7.8874
5 110	1496 10.7859	635  4.4838	2131  7.6020
6 120	833  6.0058	547  3.8624	1380  4.9229
7 130	663  4.7801	537  3.7918	1200  4.2808
8 140	2147 15.4795	1522 10.7471	3669 13.0886
9 200	375  2.7037	0	375  1.3378
10 300	0	730  5.1546	730  2.6042
11 400	1333  9.6107	0	1333  4.7553
12 420	1946 14.0303	0	1946  6.9421
13 430	872  6.2870	0	872  3.1107
14 450	1321  9.5242	0	1321  4.7125
15 460	529  3.8140	0	529  1.8871
16 500	18  0.1298	1239  8.7488	1257  4.4842
17 600	0	767  5.4159	767  2.7362
18 620	0	1072  7.5696	1072  3.8242
19 630	0	781  5.5148	781  2.7861
20 650	0	1148  8.1062	1148  4.0953
21 660	0	567  4.0037	567  2.0227
22 800	62  0.4470	126  0.8897	188  0.6707
23 920	352  2.5379	0	352  1.2557
24 980	562  4.0519	0	562  2.0049
25 990	484  3.4895	0	484  1.7266
26 1100	7  0.0505	233  1.6452	240  0.8562
27 1370	0	248  1.7512	248  0.8847
28 1400	9  0.0649	195  1.3769	204  0.7277
29 1430	0	298  2.1042	298  1.0631
30 1440	65  0.4686	428  3.0222	493  1.7587
31 1510	108  0.7787	0	108  0.3853
32 1520	202  1.4564	0	202  0.7206
33 1700	0	23  0.1624	23  0.0820
34 2000	0	28  0.1977	28  0.0999
35 2140	0	40  0.2824	40  0.1427
36 2210	0	115  0.8120	115  0.4102
37 2220	0	229  1.6170	229  0.8169
U = 38	13870 11.7087	14162 14.1142	28032 12.9240

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Par Both vul

Score	North-South Plus	West-East Plus	Absolute Times
0 0	0	0	0
1 70	2  0.0144	3  0.0212	5  0.0178
2 80	36  0.2596	30  0.2118	66  0.2354
3 90	448  3.2300	410  2.8951	858  3.0608
5 110	1496 10.7859	1479 10.4434	2975 10.6129
6 120	833  6.0058	751  5.3029	1584  5.6507
7 130	663  4.7801	685  4.8369	1348  4.8088
8 140	2147 15.4795	2178 15.3792	4325 15.4288
9 200	375  2.7037	359  2.5350	734  2.6184
16 500	731  5.2704	730  5.1546	1461  5.2119
17 600	1141  8.2264	1148  8.1062	2289  8.1657
18 620	1537 11.0815	1597 11.2767	3134 11.1801
19 630	839  6.0490	864  6.1008	1703  6.0752
20 650	1245  8.9762	1325  9.3560	2570  9.1681
21 660	526  3.7924	582  4.1096	1108  3.9526
22 800	62  0.4470	58  0.4095	120  0.4281
26 1100	138  0.9950	126  0.8897	264  0.9418
27 1370	304  2.1918	339  2.3937	643  2.2938
28 1400	135  0.9733	142  1.0027	277  0.9882
29 1430	382  2.7541	421  2.9727	803  2.8646
30 1440	455  3.2805	487  3.4388	942  3.3604
33 1700	11  0.0793	13  0.0918	24  0.0856
34 2000	20  0.1442	23  0.1624	43  0.1534
35 2140	41  0.2956	61  0.4307	102  0.3639
36 2210	101  0.7282	122  0.8615	223  0.7955
37 2220	202  1.4564	229  1.6170	431  1.5375
U = 26	13870 14.7794	14162 15.1416	28032 14.9624

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LoTT 14 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	7  0.2351	5  0.1679	1  0.0336	0
13	312 10.4768	239  8.0255	279  9.3687	204  6.8502
14	1471 49.3956	1421 47.7166	1489 50.0000	1438 48.2874
15	990 33.2438	1083 36.3667	1003 33.6803	1098 36.8704
16	179  6.0107	209  7.0181	186  6.2458	216  7.2532
17	17  0.5709	19  0.6380	18  0.6044	20  0.6716
18	1  0.0336	1  0.0336	1  0.0336	1  0.0336
19	0	0	0	0
20	1  0.0336	1  0.0336	1  0.0336	1  0.0336
U = 9	2978 14.3637	2978 14.4429	2978 14.3889	2978 14.4688

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LoTT 15 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	3  0.1006	3  0.1006	0	0
13	29  0.9722	21  0.7040	25  0.8381	16  0.5364
14	453 15.1861	388 13.0070	459 15.3872	390 13.0741
15	1458 48.8770	1431 47.9718	1456 48.8099	1436 48.1395
16	877 29.3999	956 32.0483	878 29.4335	955 32.0148
17	145  4.8609	164  5.4978	147  4.9279	166  5.5649
18	17  0.5699	19  0.6369	17  0.5699	19  0.6369
19	1  0.0335	1  0.0335	1  0.0335	1  0.0335
U = 8	2983 15.2353	2983 15.3037	2983 15.2407	2983 15.3104

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LoTT 16 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
11	1  0.0133	1  0.0133	0	0
12	4  0.0533	4  0.0533	0	0
13	41  0.5464	35  0.4664	13  0.1732	10  0.1333
14	306  4.0778	260  3.4648	228  3.0384	177  2.3587
15	1567 20.8822	1458 19.4296	1533 20.4291	1414 18.8433
16	3180 42.3774	3187 42.4707	3270 43.5768	3276 43.6567
17	1894 25.2399	1985 26.4526	1932 25.7463	2031 27.0656
18	433  5.7703	486  6.4765	447  5.9568	507  6.7564
19	68  0.9062	76  1.0128	72  0.9595	77  1.0261
20	9  0.1199	11  0.1466	8  0.1066	11  0.1466
21	0	0	0	0
22	1  0.0133	1  0.0133	1  0.0133	1  0.0133
U = 12	7504 16.0910	7504 16.1507	7504 16.1402	7504 16.2036

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LoTT 17 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
10	1  0.0154	1  0.0154	0	0
11	0	0	0	0
12	0	0	0	0
13	5  0.0772	4  0.0618	1  0.0154	1  0.0154
14	34  0.5251	25  0.3861	17  0.2625	10  0.1544
15	313  4.8340	270  4.1699	284  4.3861	246  3.7992
16	1468 22.6718	1382 21.3436	1449 22.3784	1351 20.8649
17	2505 38.6873	2513 38.8108	2539 39.2124	2541 39.2432
18	1690 26.1004	1772 27.3668	1725 26.6409	1808 27.9228
19	411  6.3475	455  7.0270	409  6.3166	462  7.1351
20	48  0.7413	53  0.8185	51  0.7876	56  0.8649
U = 11	6475 17.0669	6475 17.1268	6475 17.0964	6475 17.1580

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LoTT 18 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
12	1  0.0228	1  0.0228	0	0
13	0	0	0	0
14	2  0.0456	2  0.0456	2  0.0456	2  0.0456
15	27  0.6150	23  0.5239	21  0.4784	18  0.4100
16	311  7.0843	282  6.4237	281  6.4009	256  5.8314
17	1074 24.4647	1027 23.3941	1053 23.9863	987 22.4829
18	1576 35.8998	1570 35.7631	1578 35.9453	1593 36.2870
19	1028 23.4169	1075 24.4875	1068 24.3280	1101 25.0797
20	305  6.9476	334  7.6082	317  7.2210	355  8.0866
21	58  1.3212	66  1.5034	61  1.3895	66  1.5034
22	7  0.1595	8  0.1822	8  0.1822	10  0.2278
23	1  0.0228	2  0.0456	1  0.0228	2  0.0456
U = 12	4390 18.0123	4390 18.0704	4390 18.0538	4390 18.1134

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LoTT 19 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
15	1  0.0425	1  0.0425	0	0
16	35  1.4862	26  1.1040	31  1.3163	22  0.9342
17	288 12.2293	272 11.5499	254 10.7856	240 10.1911
18	661 28.0679	648 27.5159	674 28.6200	655 27.8132
19	784 33.2909	783 33.2484	771 32.7389	779 33.0786
20	437 18.5563	467 19.8301	472 20.0425	492 20.8917
21	127  5.3928	130  5.5202	129  5.4777	138  5.8599
22	20  0.8493	26  1.1040	22  0.9342	27  1.1465
23	2  0.0849	2  0.0849	2  0.0849	2  0.0849
U = 9	2355 18.7507	2355 18.8042	2355 18.8000	2355 18.8539

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LoTT 20 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	39  4.1489	37  3.9362	34  3.6170	31  3.2979
18	150 15.9574	141 15.0000	135 14.3617	129 13.7234
19	297 31.5957	291 30.9574	306 32.5532	295 31.3830
20	279 29.6809	287 30.5319	279 29.6809	286 30.4255
21	128 13.6170	127 13.5106	134 14.2553	138 14.6809
22	38  4.0426	44  4.6809	43  4.5745	47  5.0000
23	9  0.9574	13  1.3830	9  0.9574	14  1.4894
U = 7	940 19.4862	940 19.5426	940 19.5415	940 19.6043

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LoTT 21 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
17	1  0.3311	0	0	0
18	23  7.6159	22  7.2848	20  6.6225	20  6.6225
19	68 22.5166	67 22.1854	69 22.8477	65 21.5232
20	103 34.1060	100 33.1126	99 32.7815	98 32.4503
21	63 20.8609	64 21.1921	67 22.1854	68 22.5166
22	35 11.5894	39 12.9139	35 11.5894	38 12.5828
23	9  2.9801	10  3.3113	11  3.6424	12  3.9735
24	0	0	1  0.3311	1  0.3311
U = 8	302 20.1424	302 20.2020	302 20.2152	302 20.2616

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LoTT 22 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
18	3  3.2967	3  3.2967	2  2.1978	2  2.1978
19	13 14.2857	13 14.2857	13 14.2857	13 14.2857
20	27 29.6703	24 26.3736	28 30.7692	24 26.3736
21	27 29.6703	29 31.8681	26 28.5714	29 31.8681
22	9  9.8901	10 10.9890	10 10.9890	11 12.0879
23	8  8.7912	8  8.7912	8  8.7912	8  8.7912
24	4  4.3956	3  3.2967	4  4.3956	3  3.2967
25	0	1  1.0989	0	1  1.0989
U = 8	91 20.7253	91 20.7802	91 20.7582	91 20.8242

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LoTT 23 trumps

Tricks	Longest by Longer	Longest Right-sided	Best Fit by Longer	Best Fit Right-sided
20	4 28.5714	3 21.4286	4 28.5714	3 21.4286
21	5 35.7143	5 35.7143	4 28.5714	5 35.7143
22	3 21.4286	4 28.5714	3 21.4286	2 14.2857
23	1  7.1429	1  7.1429	2 14.2857	3 21.4286
24	1  7.1429	1  7.1429	1  7.1429	1  7.1429
U = 5	14 21.2857	14 21.4286	14 21.4286	14 21.5714

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LoTT 24 trumps

No data available

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LoTT 25 trumps

No data available

Double-dummy stats for 28,032 deals

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© 2020 Richard Pavlicek