Stats 8H30 Main

RP BBO Matches

by Richard Pavlicek

Double-dummy stats for 61,228 deals

All statistics presume double-dummy play all around. Tables 1-12 list all possible values of each statistic, with the number of occurrences and percent for North, South, West and East. The last column shows the empirical expectation based on collected evidence (calculation is impossible). The bottom line shows the number of unique values (table rows), the total number of occurrences, and the average (mean) value. The remaining tables show statistics about par scores and the Law of Total Tricks.

Nm

Sm

Hm

Dm

Cm

Lf

Lfm

Bf

Bfm

Hm

Ohm

Bcm

Pz

Pn

Pe

Pb

L14

15

16

17

18

19

20

21

Percents and averages are rounded to four places (unless zero which is shown as a single digit). The most frequent occurrence (mode) is tinted gold, the second-most a paler gold, and the third-most even paler.

Notrump make

Winnable tricks in notrump

Tricks	North		South		West		East		Empirical
0	1045	1.7067	1041	1.7002	977	1.5957	977	1.5957	9913593383	1.5612
1	2381	3.8887	2372	3.8740	2294	3.7467	2298	3.7532	23145762677	3.6449
2	3686	6.0201	3715	6.0675	3502	5.7196	3508	5.7294	37977932067	5.9806
3	5065	8.2724	5067	8.2756	5086	8.3067	5089	8.3116	52871069846	8.3260
4	6590	10.7630	6552	10.7010	6435	10.5099	6400	10.4527	67524194742	10.6335
5	7643	12.4829	7586	12.3898	7605	12.4208	7600	12.4126	80101714628	12.6142
6	8701	14.2108	8764	14.3137	8888	14.5162	8898	14.5326	90730441332	14.2880
7	8125	13.2701	8094	13.2194	8013	13.0871	8075	13.1884	84402158672	13.2914
8	6805	11.1142	6824	11.1452	6785	11.0815	6784	11.0799	71237104568	11.2182
9	4554	7.4378	4595	7.5047	4622	7.5488	4622	7.5488	47702049563	7.5120
10	3117	5.0908	3112	5.0826	3234	5.2819	3215	5.2509	32569065440	5.1289
11	1895	3.0950	1885	3.0787	2057	3.3596	2032	3.3187	20600866092	3.2442
12	1174	1.9174	1175	1.9191	1239	2.0236	1238	2.0220	11865157167	1.8685
13	447	0.7301	446	0.7284	491	0.8019	492	0.8036	4372449423	0.6886
14	61228	5.9767	61228	5.9790	61228	6.0403	61228	6.0384	635013559600	6.0066

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Spade make

Winnable tricks with spades trump

Tricks	North		South		West		East		Empirical
0	701	1.1449	704	1.1498	673	1.0992	669	1.0926	6949893015	1.0944
1	1806	2.9496	1804	2.9464	1718	2.8059	1726	2.8190	17646817412	2.7790
2	3306	5.3995	3284	5.3636	3081	5.0320	3079	5.0287	32992452829	5.1956
3	4822	7.8755	4835	7.8967	4884	7.9767	4897	7.9980	50476652542	7.9489
4	6484	10.5899	6498	10.6128	6384	10.4266	6365	10.3956	66372975438	10.4522
5	7436	12.1448	7420	12.1186	7560	12.3473	7562	12.3506	77821925315	12.2552
6	7936	12.9614	7911	12.9206	7759	12.6723	7777	12.7017	82551854345	13.0000
7	7649	12.4927	7622	12.4486	7664	12.5171	7649	12.4927	80760822737	12.7180
8	7093	11.5846	7155	11.6858	7089	11.5780	7103	11.6009	73465633954	11.5691
9	5746	9.3846	5737	9.3699	5883	9.6083	5887	9.6149	60489162482	9.5256
10	4300	7.0229	4290	7.0066	4289	7.0050	4267	6.9690	43661750688	6.8757
11	2421	3.9541	2454	4.0080	2658	4.3412	2649	4.3265	26377787548	4.1539
12	1215	1.9844	1206	1.9697	1248	2.0383	1263	2.0628	12128527136	1.9100
13	313	0.5112	308	0.5030	338	0.5520	335	0.5471	3317304159	0.5224
14	61228	6.2700	61228	6.2722	61228	6.3243	61228	6.3235	635013559600	6.2957

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Heart make

Winnable tricks with hearts trump

Tricks	North		South		West		East		Empirical
0	716	1.1694	710	1.1596	709	1.1580	698	1.1400	6949893015	1.0944
1	1796	2.9333	1806	2.9496	1708	2.7896	1723	2.8141	17646817412	2.7790
2	3237	5.2868	3210	5.2427	3076	5.0238	3058	4.9944	32992452829	5.1956
3	4913	8.0241	4953	8.0894	4808	7.8526	4818	7.8689	50476652542	7.9489
4	6415	10.4772	6374	10.4103	6460	10.5507	6446	10.5279	66372975438	10.4522
5	7515	12.2738	7532	12.3016	7450	12.1676	7433	12.1399	77821925315	12.2552
6	7929	12.9500	7905	12.9108	7864	12.8438	7889	12.8846	82551854345	13.0000
7	7732	12.6282	7751	12.6592	7702	12.5792	7747	12.6527	80760822737	12.7180
8	6934	11.3249	6939	11.3331	7150	11.6777	7115	11.6205	73465633954	11.5691
9	5855	9.5626	5846	9.5479	5827	9.5169	5857	9.5659	60489162482	9.5256
10	4163	6.7992	4179	6.8253	4266	6.9674	4244	6.9315	43661750688	6.8757
11	2478	4.0472	2487	4.0619	2585	4.2219	2582	4.2170	26377787548	4.1539
12	1213	1.9811	1204	1.9664	1263	2.0628	1257	2.0530	12128527136	1.9100
13	332	0.5422	332	0.5422	360	0.5880	361	0.5896	3317304159	0.5224
14	61228	6.2695	61228	6.2711	61228	6.3214	61228	6.3216	635013559600	6.2957

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Diamond make

Winnable tricks with diamonds trump

Tricks	North		South		West		East		Empirical
0	744	1.2151	750	1.2249	648	1.0583	654	1.0681	6949893015	1.0944
1	1800	2.9398	1793	2.9284	1705	2.7847	1696	2.7700	17646817412	2.7790
2	3191	5.2117	3176	5.1872	3106	5.0728	3114	5.0859	32992452829	5.1956
3	4995	8.1580	4990	8.1499	4787	7.8183	4793	7.8281	50476652542	7.9489
4	6345	10.3629	6366	10.3972	6299	10.2878	6301	10.2910	66372975438	10.4522
5	7371	12.0386	7390	12.0696	7664	12.5171	7651	12.4959	77821925315	12.2552
6	7972	13.0202	7944	12.9745	7884	12.8765	7870	12.8536	82551854345	13.0000
7	7847	12.8160	7843	12.8095	7826	12.7817	7843	12.8095	80760822737	12.7180
8	7210	11.7757	7180	11.7267	6914	11.2922	6953	11.3559	73465633954	11.5691
9	5691	9.2948	5742	9.3781	5870	9.5871	5821	9.5071	60489162482	9.5256
10	4114	6.7191	4123	6.7338	4267	6.9690	4270	6.9739	43661750688	6.8757
11	2467	4.0292	2441	3.9867	2645	4.3199	2642	4.3150	26377787548	4.1539
12	1185	1.9354	1192	1.9468	1241	2.0269	1253	2.0464	12128527136	1.9100
13	296	0.4834	298	0.4867	372	0.6076	367	0.5994	3317304159	0.5224
14	61228	6.2620	61228	6.2630	61228	6.3290	61228	6.3282	635013559600	6.2957

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Club make

Winnable tricks with clubs trump

Tricks	North		South		West		East		Empirical
0	717	1.1710	729	1.1906	708	1.1563	707	1.1547	6949893015	1.0944
1	1830	2.9888	1801	2.9415	1667	2.7226	1658	2.7079	17646817412	2.7790
2	3155	5.1529	3185	5.2019	3147	5.1398	3159	5.1594	32992452829	5.1956
3	4711	7.6942	4725	7.7171	4823	7.8771	4846	7.9147	50476652542	7.9489
4	6450	10.5344	6410	10.4691	6282	10.2600	6248	10.2045	66372975438	10.4522
5	7722	12.6119	7713	12.5972	7385	12.0615	7409	12.1007	77821925315	12.2552
6	7886	12.8797	7886	12.8797	7960	13.0006	7972	13.0202	82551854345	13.0000
7	8010	13.0822	8011	13.0839	7821	12.7736	7772	12.6935	80760822737	12.7180
8	6863	11.2089	6864	11.2106	7317	11.9504	7346	11.9978	73465633954	11.5691
9	5661	9.2458	5666	9.2539	5815	9.4973	5807	9.4842	60489162482	9.5256
10	4241	6.9266	4251	6.9429	4090	6.6800	4108	6.7093	43661750688	6.8757
11	2475	4.0423	2479	4.0488	2547	4.1599	2544	4.1550	26377787548	4.1539
12	1185	1.9354	1191	1.9452	1301	2.1248	1290	2.1069	12128527136	1.9100
13	322	0.5259	317	0.5177	365	0.5961	362	0.5912	3317304159	0.5224
14	61228	6.2710	61228	6.2723	61228	6.3228	61228	6.3217	635013559600	6.2957

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Longest fit

Number of cards in longest trump fit

Length	North		South		West		East		Theoretical (exact)
7	9740	15.9078	9740	15.9078	9827	16.0498	9827	16.0498	13006498437504	15.7363
8	27906	45.5772	27906	45.5772	27759	45.3371	27759	45.3371	37809373653909	45.7447
9	17234	28.1473	17234	28.1473	17372	28.3726	17372	28.3726	23225440992325	28.0999
10	5244	8.5647	5244	8.5647	5181	8.4618	5181	8.4618	7168401039800	8.6729
11	1010	1.6496	1010	1.6496	975	1.5924	975	1.5924	1307227435020	1.5816
12	89	0.1454	89	0.1454	110	0.1797	110	0.1797	130732315831	0.1582
13	5	0.0082	5	0.0082	4	0.0065	4	0.0065	5414950295	0.0066
7	61228	8.3494	61228	8.3494	61228	8.3477	61228	8.3477	82653088824684	8.3512

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Longest fit make

Winnable tricks in longest* trump fit

Tricks	North		South		West		East		Empirical
0	4	0.0065	4	0.0065	7	0.0114	6	0.0098	22876394	0.0036
1	32	0.0523	35	0.0572	26	0.0425	27	0.0441	251246691	0.0396
2	184	0.3005	177	0.2891	160	0.2613	159	0.2597	1556124656	0.2451
3	595	0.9718	593	0.9685	575	0.9391	574	0.9375	5892722789	0.9280
4	1662	2.7144	1681	2.7455	1634	2.6687	1623	2.6507	16409883547	2.5842
5	3623	5.9172	3595	5.8715	3493	5.7049	3520	5.7490	35643298455	5.6130
6	6012	9.8190	5987	9.7782	5809	9.4875	5800	9.4728	62031256233	9.7685
7	8795	14.3643	8800	14.3725	8504	13.8891	8518	13.9119	89999744190	14.1729
8	10547	17.2258	10557	17.2421	10553	17.2356	10554	17.2372	110099842849	17.3382
9	10663	17.4152	10666	17.4201	10920	17.8350	10914	17.8252	113173167471	17.8222
10	9311	15.2071	9332	15.2414	9175	14.9850	9171	14.9784	95919764225	15.1052
11	5930	9.6851	5939	9.6998	6228	10.1718	6218	10.1555	64150449024	10.1022
12	3043	4.9699	3038	4.9618	3199	5.2247	3205	5.2345	31112561346	4.8995
13	827	1.3507	824	1.3458	945	1.5434	939	1.5336	8750621730	1.3780
14	61228	8.3383	61228	8.3402	61228	8.3963	61228	8.3951	635013559600	8.3753

*or best (most productive) with two or more fits of equal length

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Best fit

Number of cards in most productive trump fit

Length	North		South		West		East		Empirical
5	27	0.0441	27	0.0441	33	0.0539	34	0.0555	10461673	0.0016
6	154	0.2516	137	0.2238	163	0.2663	166	0.2712	1222077835	0.1924
7	10305	16.8338	10300	16.8259	10358	16.9199	10366	16.9329	105351212255	16.5904
8	27537	44.9833	27558	45.0184	27402	44.7613	27376	44.7189	287234089436	45.2327
9	16884	27.5810	16891	27.5929	17053	27.8562	17066	27.8774	175437245133	27.6273
10	5214	8.5174	5208	8.5077	5126	8.3734	5127	8.3750	54701014789	8.6141
11	1001	1.6352	1000	1.6336	969	1.5829	969	1.5829	10008187498	1.5761
12	89	0.1454	89	0.1454	110	0.1797	110	0.1797	1006364496	0.1585
13	5	0.0082	5	0.0082	4	0.0065	4	0.0065	42906485	0.0068
9	61216	8.3267	61215	8.3273	61218	8.3249	61218	8.3249	635013559600	8.3327

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Best fit make

Winnable tricks in most productive trump fit

Tricks	North		South		West		East		Empirical
0	1	0.0016	1	0.0016	0	0	0	0	1513990	0.0002
1	17	0.0278	18	0.0294	16	0.0261	16	0.0261	132231913	0.0208
2	159	0.2597	156	0.2548	126	0.2058	121	0.1976	1339624042	0.2110
3	561	0.9162	561	0.9162	546	0.8917	549	0.8966	5671089748	0.8931
4	1589	2.5952	1597	2.6083	1600	2.6132	1580	2.5805	16177592015	2.5476
5	3602	5.8829	3586	5.8568	3470	5.6673	3511	5.7343	35415185536	5.5771
6	5980	9.7668	5955	9.7259	5752	9.3944	5733	9.3634	61775936908	9.7283
7	8785	14.3480	8802	14.3758	8492	13.8695	8507	13.8940	89711329037	14.1275
8	10546	17.2241	10532	17.2013	10542	17.2176	10547	17.2258	109962826727	17.3166
9	10709	17.4904	10718	17.5051	10961	17.9019	10952	17.8872	113305081446	17.8429
10	9329	15.2365	9353	15.2757	9217	15.0536	9212	15.0454	96187452851	15.1473
11	5980	9.7668	5991	9.7847	6254	10.2143	6250	10.2077	64547826059	10.1648
12	3104	5.0696	3098	5.0598	3268	5.3374	3270	5.3407	31646530587	4.9836
13	866	1.4144	860	1.4046	984	1.6071	980	1.6006	9139338741	1.4392
14	61228	8.3636	61228	8.3651	61228	8.4205	61228	8.4197	635013559600	8.3938

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Highest make

Highest makable strain as declarer

Strain	North		South		West		East		Empirical
None	1	0.0016	1	0.0016	0	0	0	0	1513990	0.0002
1	0	0	0	0	2	0.0033	2	0.0033	4027214	0.0006
1	4	0.0065	5	0.0082	3	0.0049	3	0.0049	11612306	0.0018
1	2	0.0033	2	0.0033	3	0.0049	3	0.0049	25874094	0.0041
1	8	0.0131	8	0.0131	4	0.0065	4	0.0065	53231899	0.0084
NT 1	3	0.0049	3	0.0049	4	0.0065	4	0.0065	36956503	0.0058
2	10	0.0163	10	0.0163	11	0.0180	12	0.0196	120316810	0.0189
2	23	0.0376	21	0.0343	22	0.0359	22	0.0359	198635528	0.0313
2	38	0.0621	40	0.0653	34	0.0555	32	0.0523	326628269	0.0514
2	68	0.1111	66	0.1078	43	0.0702	42	0.0686	500918833	0.0789
NT 2	19	0.0310	18	0.0294	15	0.0245	12	0.0196	185145875	0.0292
3	64	0.1045	61	0.0996	68	0.1111	67	0.1094	708986520	0.1116
3	102	0.1666	107	0.1748	113	0.1846	115	0.1878	998658286	0.1573
3	141	0.2303	138	0.2254	122	0.1993	121	0.1976	1395338886	0.2197
3	188	0.3070	189	0.3087	175	0.2858	175	0.2858	1910125869	0.3008
NT 3	62	0.1013	62	0.1013	63	0.1029	68	0.1111	600509115	0.0946
4	236	0.3854	239	0.3903	219	0.3577	216	0.3528	2289229042	0.3605
4	292	0.4769	288	0.4704	304	0.4965	302	0.4932	2994612265	0.4716
4	362	0.5912	357	0.5831	380	0.6206	378	0.6174	3903975403	0.6148
4	510	0.8330	520	0.8493	511	0.8346	503	0.8215	5081012026	0.8001
NT 4	166	0.2711	167	0.2728	164	0.2679	165	0.2695	1713322270	0.2698
5	612	0.9995	595	0.9718	517	0.8444	524	0.8558	5390835002	0.8489
5	721	1.1776	723	1.1808	677	1.1057	684	1.1171	6765583620	1.0654
5	850	1.3883	859	1.4030	806	1.3164	820	1.3393	8498769442	1.3384
5	1015	1.6577	1008	1.6463	1061	1.7329	1066	1.7410	10602398413	1.6696
NT 5	367	0.5994	374	0.6108	370	0.6043	369	0.6027	3790350430	0.5969
6	992	1.6202	1002	1.6365	906	1.4797	904	1.4764	9966643603	1.5695
6	1186	1.9370	1166	1.9044	1125	1.8374	1124	1.8358	12109712021	1.9070
6	1416	2.3127	1409	2.3012	1420	2.3192	1415	2.3110	14729112069	2.3195
6	1720	2.8092	1727	2.8206	1669	2.7259	1658	2.7079	17910202521	2.8204
NT 6	619	1.0110	602	0.9832	597	0.9750	602	0.9832	6534760658	1.0291
7	1503	2.4548	1496	2.4433	1479	2.4156	1499	2.4482	15075437352	2.3740
7	1793	2.9284	1804	2.9464	1698	2.7732	1690	2.7602	17958650211	2.8281
7	2067	3.3759	2087	3.4086	1995	3.2583	2017	3.2942	21361994439	3.3640
7	2423	3.9573	2424	3.9590	2430	3.9688	2386	3.8969	25528480621	4.0201
NT 7	917	1.4977	909	1.4846	840	1.3719	864	1.4111	9154206125	1.4416
8	1772	2.8941	1774	2.8974	1867	3.0493	1866	3.0476	18791511418	2.9592
8	2129	3.4772	2154	3.5180	2033	3.3204	2041	3.3334	22088800625	3.4785
8	2507	4.0945	2514	4.1060	2556	4.1746	2532	4.1354	26002102208	4.0947
8	2956	4.8279	2932	4.7887	2912	4.7560	2932	4.7887	30496109913	4.8024
NT 8	1166	1.9044	1147	1.8733	1110	1.8129	1104	1.8031	12173466153	1.9170
9	1784	2.9137	1768	2.8876	1803	2.9447	1816	2.9660	19155398988	3.0165
9	2073	3.3857	2095	3.4216	2201	3.5948	2174	3.5507	22679953280	3.5716
9	2585	4.2219	2566	4.1909	2622	4.2824	2638	4.3085	26645003052	4.1960
9	2987	4.8785	3006	4.9095	3015	4.9242	3013	4.9210	31116921638	4.9002
NT 9	1280	2.0905	1289	2.1052	1354	2.2114	1348	2.2016	13776418529	2.1695
10	1549	2.5299	1575	2.5724	1479	2.4156	1473	2.4058	15678126613	2.4689
10	1783	2.9121	1768	2.8876	1850	3.0215	1862	3.0411	18845651711	2.9678
10	2112	3.4494	2128	3.4755	2078	3.3939	2087	3.4086	22346330376	3.5190
10	2600	4.2464	2589	4.2285	2534	4.1386	2536	4.1419	26213758053	4.1281
NT 10	1352	2.2081	1342	2.1918	1330	2.1722	1313	2.1444	13730953401	2.1623
11	904	1.4764	902	1.4732	896	1.4634	890	1.4536	9697289588	1.5271
11	1093	1.7851	1087	1.7753	1151	1.8799	1155	1.8864	11914043914	1.8762
11	1339	2.1869	1346	2.1983	1344	2.1951	1339	2.1869	14305376462	2.2528
11	1558	2.5446	1583	2.5854	1717	2.8043	1708	2.7896	16882127404	2.6585
NT 11	1172	1.9142	1159	1.8929	1221	1.9942	1221	1.9942	12637216524	1.9901
12	398	0.6500	391	0.6386	436	0.7121	428	0.6990	4042066459	0.6365
12	444	0.7252	451	0.7366	488	0.7970	496	0.8101	4996576787	0.7868
12	599	0.9783	600	0.9799	628	1.0257	623	1.0175	6084938998	0.9582
12	715	1.1678	701	1.1449	725	1.1841	738	1.2053	7241748711	1.1404
NT 12	989	1.6153	1002	1.6365	1029	1.6806	1036	1.6920	9797000990	1.5428
13	87	0.1421	80	0.1307	109	0.1780	108	0.1764	950467974	0.1497
13	95	0.1552	93	0.1519	111	0.1813	107	0.1748	1125576093	0.1773
13	117	0.1911	120	0.1960	141	0.2303	141	0.2303	1297292873	0.2043
13	136	0.2221	133	0.2172	147	0.2401	143	0.2336	1491113912	0.2348
NT 13	447	0.7301	446	0.7284	491	0.8019	492	0.8036	4372449423	0.6886
66	61228	39.9427	61228	39.9463	61228	40.2250	61228	40.2198	635013559600	40.0915

Mean is calculated with highest makes valued from 0 to 65, so 40.xxxx represents “NT 8”

Stats 8H30 Main

Top RP BBO Matches

On-lead highest make

Highest makable strain if on lead

Strain	North		South		West		East		Empirical
None	1	0.0016	1	0.0016	0	0	0	0	1241472	0.0002
1	0	0	0	0	2	0.0033	2	0.0033	3239939	0.0005
1	4	0.0065	4	0.0065	3	0.0049	3	0.0049	9447300	0.0015
1	2	0.0033	2	0.0033	3	0.0049	3	0.0049	21574362	0.0034
1	8	0.0131	8	0.0131	3	0.0049	3	0.0049	42527988	0.0067
NT 1	3	0.0049	2	0.0033	4	0.0065	3	0.0049	26388851	0.0042
2	8	0.0131	7	0.0114	7	0.0114	6	0.0098	84995416	0.0134
2	13	0.0212	15	0.0245	17	0.0278	15	0.0245	142224249	0.0224
2	24	0.0392	22	0.0359	25	0.0408	23	0.0376	231292299	0.0364
2	47	0.0768	46	0.0751	31	0.0506	35	0.0572	363266834	0.0572
NT 2	14	0.0229	11	0.0180	10	0.0163	11	0.0180	127432564	0.0201
3	41	0.0670	48	0.0784	46	0.0751	49	0.0800	493076363	0.0776
3	80	0.1307	82	0.1339	66	0.1078	61	0.0996	693513539	0.1092
3	103	0.1682	102	0.1666	86	0.1405	87	0.1421	1000823292	0.1576
3	143	0.2336	148	0.2417	125	0.2042	135	0.2205	1395369165	0.2197
NT 3	45	0.0735	52	0.0849	50	0.0817	49	0.0800	517057969	0.0814
4	159	0.2597	152	0.2483	168	0.2744	165	0.2695	1644254032	0.2589
4	208	0.3397	210	0.3430	215	0.3511	226	0.3691	2174377737	0.3424
4	270	0.4410	287	0.4687	274	0.4475	273	0.4459	2890268054	0.4552
4	401	0.6549	384	0.6272	397	0.6484	389	0.6353	3825111648	0.6024
NT 4	153	0.2499	139	0.2270	151	0.2466	155	0.2532	1603391433	0.2525
5	426	0.6958	433	0.7072	386	0.6304	370	0.6043	3998705776	0.6297
5	497	0.8117	505	0.8248	498	0.8134	489	0.7987	5059967561	0.7968
5	653	1.0665	642	1.0485	627	1.0240	613	1.0012	6444920473	1.0149
5	795	1.2984	806	1.3164	814	1.3295	805	1.3148	8171172220	1.2868
NT 5	397	0.6484	389	0.6353	375	0.6125	380	0.6206	3680646693	0.5796
6	806	1.3164	791	1.2919	716	1.1694	731	1.1939	7757580348	1.2216
6	953	1.5565	936	1.5287	877	1.4324	879	1.4356	9525027771	1.5000
6	1146	1.8717	1173	1.9158	1140	1.8619	1131	1.8472	11764658491	1.8527
6	1414	2.3094	1414	2.3094	1406	2.2963	1407	2.2980	14509280677	2.2849
NT 6	639	1.0436	643	1.0502	605	0.9881	608	0.9930	6740920718	1.0615
7	1223	1.9975	1226	2.0024	1162	1.8978	1184	1.9338	12379732192	1.9495
7	1432	2.3388	1433	2.3404	1334	2.1787	1347	2.2000	14970987161	2.3576
7	1749	2.8565	1744	2.8484	1705	2.7847	1685	2.7520	18071185110	2.8458
7	2054	3.3547	2054	3.3547	2050	3.3481	2093	3.4184	21830271641	3.4378
NT 7	1104	1.8031	1094	1.7868	1137	1.8570	1092	1.7835	11424585988	1.7991
8	1581	2.5822	1586	2.5903	1653	2.6997	1651	2.6965	16339498138	2.5731
8	1932	3.1554	1938	3.1652	1863	3.0427	1877	3.0656	19709383181	3.1038
8	2333	3.8103	2312	3.7761	2338	3.8185	2325	3.7973	23605758352	3.7174
8	2701	4.4114	2708	4.4228	2672	4.3640	2681	4.3787	28085928185	4.4229
NT 8	1595	2.6050	1612	2.6328	1497	2.4450	1512	2.4695	16270929517	2.5623
9	1651	2.6965	1633	2.6671	1677	2.7389	1669	2.7259	17610462720	2.7732
9	2012	3.2861	2025	3.3073	2013	3.2877	1968	3.2142	21330730539	3.3591
9	2490	4.0668	2487	4.0619	2495	4.0749	2509	4.0978	25409571822	4.0014
9	2912	4.7560	2926	4.7789	2914	4.7593	2912	4.7560	30048695498	4.7320
NT 9	1889	3.0852	1864	3.0444	1917	3.1309	1942	3.1718	20125215758	3.1693
10	1423	2.3241	1442	2.3551	1479	2.4156	1480	2.4172	15180947336	2.3906
10	1718	2.8059	1722	2.8124	1857	3.0329	1856	3.0313	18360372398	2.8913
10	2065	3.3726	2067	3.3759	2103	3.4347	2080	3.3971	21797024413	3.4325
10	2444	3.9916	2439	3.9835	2409	3.9345	2405	3.9279	25500986557	4.0158
NT 10	2244	3.6650	2255	3.6830	2171	3.5458	2182	3.5637	22971290435	3.6174
11	1010	1.6496	1013	1.6545	954	1.5581	945	1.5434	10149896990	1.5984
11	1124	1.8358	1137	1.8570	1134	1.8521	1119	1.8276	12077115810	1.9019
11	1297	2.1183	1292	2.1101	1357	2.2163	1370	2.2375	14119413033	2.2235
11	1545	2.5234	1528	2.4956	1609	2.6279	1642	2.6818	16390731570	2.5812
NT 11	2141	3.4968	2146	3.5049	2183	3.5654	2152	3.5147	22941283147	3.6127
12	499	0.8150	488	0.7970	556	0.9081	570	0.9309	5500720419	0.8662
12	583	0.9522	571	0.9326	588	0.9603	602	0.9832	6227026988	0.9806
12	671	1.0959	666	1.0877	677	1.1057	667	1.0894	7033151127	1.1076
12	737	1.2037	750	1.2249	809	1.3213	815	1.3311	7852931458	1.2367
NT 12	1748	2.8549	1755	2.8663	1834	2.9954	1851	3.0231	17849476370	2.8109
13	210	0.3430	207	0.3381	229	0.3740	219	0.3577	2037906651	0.3209
13	192	0.3136	196	0.3201	236	0.3854	233	0.3805	2187019556	0.3444
13	232	0.3789	228	0.3724	226	0.3691	229	0.3740	2314542960	0.3645
13	257	0.4197	253	0.4132	222	0.3626	213	0.3479	2451437963	0.3860
NT 13	977	1.5957	977	1.5957	1041	1.7002	1045	1.7067	9913593383	1.5612
66	61228	41.8808	61228	41.8787	61228	42.1332	61228	42.1398	635013559600	42.0216

Mean is calculated with on-lead highest makes valued from 0 to 65, so 42.xxxx represents “ 9”

Stats 8H30 Main

Top RP BBO Matches

Best contract make

Highest scoring makable contract as declarer

Contract	North		South		West		East		Empirical
None	11797	19.2673	11767	19.2183	11408	18.6320	11412	18.6385	119358998783	18.7963
1	1503	2.4548	1496	2.4433	1479	2.4156	1499	2.4482	15075437352	2.3740
1	1793	2.9284	1804	2.9464	1698	2.7732	1690	2.7602	17958650211	2.8281
1	2067	3.3759	2087	3.4086	1995	3.2583	2017	3.2942	21361994439	3.3640
1	2423	3.9573	2424	3.9590	2430	3.9688	2386	3.8969	25528480621	4.0201
1 NT	917	1.4977	909	1.4846	840	1.3719	864	1.4111	9154206126	1.4416
2	1772	2.8941	1774	2.8974	1867	3.0493	1866	3.0476	18791511418	2.9592
2	2129	3.4772	2154	3.5180	2033	3.3204	2041	3.3334	22088800625	3.4785
2	2507	4.0945	2514	4.1060	2556	4.1746	2532	4.1354	26002102208	4.0947
2	2956	4.8279	2932	4.7887	2912	4.7560	2932	4.7887	30496109913	4.8024
3	1407	2.2980	1395	2.2784	1422	2.3225	1428	2.3323	15168880833	2.3887
3	1602	2.6164	1618	2.6426	1729	2.8239	1693	2.7651	17647767441	2.7791
2 NT	2014	3.2893	1997	3.2616	1963	3.2060	1973	3.2224	21192170146	3.3373
4	818	1.3360	823	1.3442	822	1.3425	821	1.3409	8352078922	1.3153
4	969	1.5826	972	1.5875	1007	1.6447	1026	1.6757	10306791805	1.6231
3	2964	4.8409	2948	4.8148	2985	4.8752	3000	4.8997	30412174290	4.7892
3	3404	5.5595	3401	5.5546	3422	5.5889	3418	5.5824	35369266210	5.5698
3 NT	2029	3.3138	2060	3.3645	2084	3.4037	2069	3.3792	21621810315	3.4049
5	447	0.7301	454	0.7415	443	0.7235	449	0.7333	4918954504	0.7746
5	576	0.9407	573	0.9358	582	0.9505	595	0.9718	6307419874	0.9933
4	2318	3.7858	2333	3.8103	2302	3.7597	2306	3.7663	24619813919	3.8771
4	2843	4.6433	2835	4.6302	2776	4.5339	2769	4.5224	28756868129	4.5285
4 NT	1877	3.0656	1853	3.0264	1886	3.0803	1862	3.0411	19299318906	3.0392
5	1339	2.1869	1346	2.1983	1344	2.1951	1339	2.1869	14305376462	2.2528
5	1558	2.5446	1583	2.5854	1717	2.8043	1708	2.7896	16882127404	2.6585
5 NT	1172	1.9142	1159	1.8929	1221	1.9942	1221	1.9942	12637216524	1.9901
6	398	0.6500	391	0.6386	436	0.7121	428	0.6990	4042066459	0.6365
6	444	0.7252	451	0.7366	488	0.7970	496	0.8101	4996576787	0.7868
6	599	0.9783	600	0.9799	628	1.0257	623	1.0175	6084938998	0.9582
6	715	1.1678	701	1.1449	725	1.1841	738	1.2053	7241748711	1.1404
6 NT	989	1.6153	1002	1.6365	1029	1.6806	1036	1.6920	9797000990	1.5428
7	87	0.1421	80	0.1307	109	0.1780	108	0.1764	950467974	0.1497
7	95	0.1552	93	0.1519	111	0.1813	107	0.1748	1125576093	0.1773
7	117	0.1911	120	0.1960	141	0.2303	141	0.2303	1297292873	0.2043
7	136	0.2221	133	0.2172	147	0.2401	143	0.2336	1491113912	0.2348
7 NT	447	0.7301	446	0.7284	491	0.8019	492	0.8036	4372449423	0.6886
36	61228	11.3421	61228	11.3433	61228	11.5742	61228	11.5680	635013559600	11.4347

Mean is calculated with best contracts valued from 0 to 35, so 11.xxxx represents “3 ”

Stats 8H30 Main

Top RP BBO Matches

Par None vul

Par scores if neither side is vulnerable

Score	N-S Plus		E-W Plus		Absolute
0	—	—	—	—	0	0
70	2	0.0066	4	0.0130	6	0.0098
80	76	0.2502	74	0.2398	150	0.2450
90	952	3.1346	905	2.9329	1857	3.0329
100	4903	16.1437	4916	15.9316	9819	16.0368
110	1331	4.3825	1346	4.3621	2677	4.3722
120	1244	4.0960	1191	3.8597	2435	3.9769
130	1180	3.8853	1202	3.8954	2382	3.8904
140	3313	10.9084	3389	10.9829	6702	10.9460
300	1659	5.4624	1580	5.1204	3239	5.2901
400	2455	8.0834	2440	7.9074	4895	7.9947
420	3357	11.0533	3441	11.1514	6798	11.1028
430	1864	6.1374	1889	6.1218	3753	6.1295
450	2671	8.7946	2787	9.0320	5458	8.9142
460	1222	4.0236	1275	4.1320	2497	4.0782
500	142	0.4676	119	0.3856	261	0.4263
800	287	0.9450	284	0.9204	571	0.9326
920	663	2.1830	728	2.3593	1391	2.2718
980	1093	3.5988	1168	3.7852	2261	3.6928
990	1088	3.5824	1126	3.6491	2214	3.6160
1100	20	0.0659	32	0.1037	52	0.0849
1400	27	0.0889	40	0.1296	67	0.1094
1440	135	0.4445	162	0.5250	297	0.4851
1510	238	0.7836	264	0.8556	502	0.8199
1520	449	1.4784	495	1.6042	944	1.5418
25	30371	11.1843	30857	11.3582	61228	11.2719

Stats 8H30 Main

Top RP BBO Matches

Par N-S vul

Par scores if only N-S are vulnerable

Score	N-S Plus		E-W Plus		Absolute
0	—	—	—	—	0	0
70	2	0.0066	4	0.0130	6	0.0098
80	76	0.2502	74	0.2398	150	0.2450
90	952	3.1346	905	2.9329	1857	3.0329
100	4903	16.1437	0	0	4903	8.0078
110	1331	4.3825	3247	10.5227	4578	7.4770
120	1244	4.0960	1639	5.3116	2883	4.7086
130	1180	3.8853	1531	4.9616	2711	4.4277
140	3313	10.9084	4784	15.5038	8097	13.2243
200	0	0	843	2.7320	843	1.3768
300	1659	5.4624	0	0	1659	2.7095
400	0	0	2890	9.3658	2890	4.7201
420	0	0	4265	13.8218	4265	6.9658
430	0	0	1958	6.3454	1958	3.1979
450	0	0	2980	9.6575	2980	4.8671
460	0	0	1285	4.1644	1285	2.0987
500	2604	8.5740	34	0.1102	2638	4.3085
600	1708	5.6238	0	0	1708	2.7896
620	2236	7.3623	0	0	2236	3.6519
630	1671	5.5020	0	0	1671	2.7291
650	2300	7.5730	0	0	2300	3.7565
660	1192	3.9248	0	0	1192	1.9468
800	287	0.9450	119	0.3856	406	0.6631
920	0	0	856	2.7741	856	1.3981
980	0	0	1297	4.2033	1297	2.1183
990	0	0	1141	3.6977	1141	1.8635
1100	464	1.5278	12	0.0389	476	0.7774
1370	495	1.6298	0	0	495	0.8085
1400	422	1.3895	32	0.1037	454	0.7415
1430	586	1.9295	0	0	586	0.9571
1440	924	3.0424	190	0.6157	1114	1.8194
1510	0	0	276	0.8944	276	0.4508
1520	0	0	495	1.6042	495	0.8085
1700	49	0.1613	0	0	49	0.0800
2000	49	0.1613	0	0	49	0.0800
2140	69	0.2272	0	0	69	0.1127
2210	206	0.6783	0	0	206	0.3364
2220	449	1.4784	0	0	449	0.7333
38	30371	13.8232	30857	11.9499	61228	12.8791

Stats 8H30 Main

Top RP BBO Matches

Par E-W vul

Par scores if only E-W are vulnerable

Score	N-S Plus		E-W Plus		Absolute
0	—	—	—	—	0	0
70	2	0.0066	4	0.0130	6	0.0098
80	76	0.2502	74	0.2398	150	0.2450
90	952	3.1346	905	2.9329	1857	3.0329
100	0	0	4916	15.9316	4916	8.0290
110	3251	10.7043	1346	4.3621	4597	7.5080
120	1694	5.5777	1191	3.8597	2885	4.7119
130	1483	4.8829	1202	3.8954	2685	4.3852
140	4713	15.5181	3389	10.9829	8102	13.2325
200	830	2.7329	0	0	830	1.3556
300	0	0	1580	5.1204	1580	2.5805
400	2879	9.4794	0	0	2879	4.7021
420	4289	14.1220	0	0	4289	7.0050
430	1948	6.4140	0	0	1948	3.1816
450	2842	9.3576	0	0	2842	4.6417
460	1230	4.0499	0	0	1230	2.0089
500	40	0.1317	2640	8.5556	2680	4.3771
600	0	0	1665	5.3959	1665	2.7193
620	0	0	2292	7.4278	2292	3.7434
630	0	0	1719	5.5709	1719	2.8075
650	0	0	2398	7.7713	2398	3.9165
660	0	0	1237	4.0088	1237	2.0203
800	142	0.4676	284	0.9204	426	0.6958
920	771	2.5386	0	0	771	1.2592
980	1245	4.0993	0	0	1245	2.0334
990	1102	3.6285	0	0	1102	1.7998
1100	13	0.0428	457	1.4810	470	0.7676
1370	0	0	561	1.8181	561	0.9162
1400	20	0.0659	439	1.4227	459	0.7497
1430	0	0	679	2.2005	679	1.1090
1440	155	0.5104	958	3.1046	1113	1.8178
1510	245	0.8067	0	0	245	0.4001
1520	449	1.4784	0	0	449	0.7333
1700	0	0	52	0.1685	52	0.0849
2000	0	0	52	0.1685	52	0.0849
2140	0	0	86	0.2787	86	0.1405
2210	0	0	236	0.7648	236	0.3854
2220	0	0	495	1.6042	495	0.8085
38	30371	11.7915	30857	14.0466	61228	12.9280

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Par Both vul

Par scores if both sides are vulnerable

Score	N-S Plus		E-W Plus		Absolute
0	—	—	—	—	0	0
70	2	0.0066	4	0.0130	6	0.0098
80	76	0.2502	74	0.2398	150	0.2450
90	952	3.1346	905	2.9329	1857	3.0329
110	3251	10.7043	3247	10.5227	6498	10.6128
120	1694	5.5777	1639	5.3116	3333	5.4436
130	1483	4.8829	1531	4.9616	3014	4.9226
140	4713	15.5181	4784	15.5038	9497	15.5109
200	830	2.7329	843	2.7320	1673	2.7324
500	1659	5.4624	1580	5.1204	3239	5.2901
600	2455	8.0834	2440	7.9074	4895	7.9947
620	3357	11.0533	3441	11.1514	6798	11.1028
630	1864	6.1374	1889	6.1218	3753	6.1295
650	2671	8.7946	2787	9.0320	5458	8.9142
660	1222	4.0236	1275	4.1320	2497	4.0782
800	142	0.4676	119	0.3856	261	0.4263
1100	287	0.9450	284	0.9204	571	0.9326
1370	663	2.1830	728	2.3593	1391	2.2718
1400	296	0.9746	290	0.9398	586	0.9571
1430	865	2.8481	961	3.1144	1826	2.9823
1440	1040	3.4243	1075	3.4838	2115	3.4543
1700	27	0.0889	40	0.1296	67	0.1094
2000	49	0.1613	52	0.1685	101	0.1650
2140	97	0.3194	122	0.3954	219	0.3577
2210	227	0.7474	252	0.8167	479	0.7823
2220	449	1.4784	495	1.6042	944	1.5418
26	30371	14.8821	30857	15.0779	61228	14.9808

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LoTT 14

Total tricks with 14 total trumps declared in four ways
Longest fit* by longer hand** Longest fit* right-sided
Best fit by longer hand** Best fit right-sided

Tricks	Longest Longer		Longest R-S		Best Longer		Best R-S
9	1	0.0153	1	0.0153	0	0	0	0
10	0	0	0	0	0	0	0	0
11	1	0.0153	1	0.0153	0	0	0	0
12	22	0.3357	16	0.2441	6	0.0915	3	0.0458
13	682	10.4059	527	8.0409	607	9.2615	453	6.9118
14	3328	50.7782	3204	48.8862	3358	51.2359	3225	49.2066
15	2099	32.0262	2313	35.2914	2144	32.7128	2359	35.9933
16	368	5.6149	433	6.6067	377	5.7522	446	6.8050
17	47	0.7171	53	0.8087	52	0.7934	57	0.8697
18	3	0.0458	3	0.0458	6	0.0915	7	0.1068
19	2	0.0305	2	0.0305	3	0.0458	2	0.0305
20	1	0.0153	1	0.0153	1	0.0153	2	0.0305
12	6554	14.3464	6554	14.4271	6554	14.3784	6554	14.4597

*or best fit if two of the same length **or stronger hand if trumps equally divided

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LoTT 15

Total tricks with 15 total trumps declared in four ways

Tricks	Longest Longer		Longest R-S		Best Longer		Best R-S
11	3	0.0464	2	0.0310	0	0	0	0
12	7	0.1084	7	0.1084	0	0	0	0
13	72	1.1147	49	0.7586	59	0.9135	36	0.5574
14	986	15.2655	844	13.0670	983	15.2191	844	13.0670
15	3119	48.2892	3075	47.6080	3134	48.5214	3085	47.7628
16	1911	29.5866	2078	32.1722	1915	29.6486	2081	32.2186
17	315	4.8769	353	5.4652	318	4.9234	357	5.5272
18	42	0.6503	46	0.7122	45	0.6967	50	0.7741
19	3	0.0464	3	0.0464	4	0.0619	4	0.0619
20	1	0.0155	1	0.0155	1	0.0155	1	0.0155
21	0	0	1	0.0155	0	0	1	0.0155
11	6459	15.2355	6459	15.3056	6459	15.2486	6459	15.3183

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LoTT 16

Total tricks with 16 total trumps declared in four ways

Tricks	Longest Longer		Longest R-S		Best Longer		Best R-S
5	1	0.0061	1	0.0061	0	0	0	0
6	2	0.0123	2	0.0123	0	0	0	0
7	1	0.0061	1	0.0061	0	0	0	0
8	3	0.0184	2	0.0123	0	0	0	0
9	1	0.0061	2	0.0123	0	0	0	0
10	7	0.0430	7	0.0430	0	0	0	0
11	7	0.0430	6	0.0368	0	0	0	0
12	17	0.1043	17	0.1043	0	0	0	0
13	100	0.6136	84	0.5154	22	0.1350	14	0.0859
14	652	4.0007	564	3.4608	472	2.8962	386	2.3685
15	3356	20.5927	3099	19.0158	3288	20.1755	3000	18.4083
16	6866	42.1305	6875	42.1857	7052	43.2718	7061	43.3270
17	4138	25.3912	4366	26.7902	4259	26.1336	4496	27.5879
18	983	6.0318	1079	6.6209	1029	6.3140	1135	6.9645
19	143	0.8775	170	1.0431	151	0.9266	177	1.0861
20	18	0.1104	20	0.1227	21	0.1289	25	0.1534
21	1	0.0061	1	0.0061	1	0.0061	1	0.0061
22	1	0.0061	1	0.0061	2	0.0123	2	0.0123
18	16297	16.0884	16297	16.1495	16297	16.1579	16297	16.2209

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LoTT 17

Total tricks with 17 total trumps declared in four ways

Tricks	Longest Longer		Longest R-S		Best Longer		Best R-S
3	1	0.0071	1	0.0071	0	0	0	0
4	1	0.0071	1	0.0071	0	0	0	0
5	0	0	0	0	0	0	0	0
6	0	0	0	0	0	0	0	0
7	0	0	0	0	0	0	0	0
8	2	0.0142	2	0.0142	0	0	0	0
9	2	0.0142	2	0.0142	0	0	0	0
10	5	0.0354	5	0.0354	0	0	0	0
11	5	0.0354	5	0.0354	0	0	0	0
12	7	0.0496	4	0.0283	0	0	0	0
13	14	0.0992	15	0.1063	1	0.0071	1	0.0071
14	76	0.5385	62	0.4393	41	0.2905	29	0.2055
15	699	4.9532	614	4.3509	628	4.4501	542	3.8407
16	3271	23.1789	3060	21.6837	3230	22.8883	3009	21.3223
17	5480	38.8322	5488	38.8889	5569	39.4629	5574	39.4983
18	3546	25.1276	3758	26.6298	3612	25.5952	3829	27.1329
19	880	6.2358	958	6.7885	898	6.3634	981	6.9515
20	121	0.8574	133	0.9425	129	0.9141	141	0.9991
21	1	0.0071	3	0.0213	2	0.0142	4	0.0283
22	1	0.0071	1	0.0071	2	0.0142	2	0.0142
20	14112	17.0400	14112	17.0999	14112	17.0850	14112	17.1457

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LoTT 18

Total tricks with 18 total trumps declared in four ways

Tricks	Longest Longer		Longest R-S		Best Longer		Best R-S
5	1	0.0104	1	0.0104	0	0	0	0
6	0	0	0	0	0	0	0	0
7	1	0.0104	1	0.0104	0	0	0	0
8	0	0	0	0	0	0	0	0
9	1	0.0104	1	0.0104	0	0	0	0
10	1	0.0104	1	0.0104	0	0	0	0
11	0	0	0	0	0	0	0	0
12	9	0.0940	8	0.0836	0	0	0	0
13	8	0.0836	9	0.0940	1	0.0104	1	0.0104
14	6	0.0627	6	0.0627	10	0.1045	10	0.1045
15	54	0.5641	47	0.4910	45	0.4701	40	0.4179
16	710	7.4175	642	6.7071	649	6.7802	583	6.0907
17	2340	24.4463	2238	23.3807	2282	23.8404	2172	22.6912
18	3360	35.1024	3365	35.1546	3416	35.6874	3423	35.7606
19	2228	23.2762	2329	24.3314	2280	23.8195	2373	24.7911
20	708	7.3966	761	7.9503	736	7.6891	799	8.3473
21	127	1.3268	139	1.4522	131	1.3686	144	1.5044
22	15	0.1567	20	0.2089	19	0.1985	23	0.2403
23	3	0.0313	4	0.0418	3	0.0313	4	0.0418
19	9572	18.0020	9572	18.0571	9572	18.0497	9572	18.1057

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LoTT 19

Total tricks with 19 total trumps declared in four ways

Tricks	Longest Longer		Longest R-S		Best Longer		Best R-S
6	1	0.0193	1	0.0193	0	0	0	0
7	1	0.0193	1	0.0193	0	0	0	0
8	0	0	0	0	0	0	0	0
9	0	0	0	0	0	0	0	0
10	2	0.0386	1	0.0193	0	0	0	0
11	1	0.0193	2	0.0386	0	0	0	0
12	4	0.0772	4	0.0772	0	0	0	0
13	5	0.0965	5	0.0965	0	0	0	0
14	3	0.0579	3	0.0579	2	0.0386	2	0.0386
15	3	0.0579	3	0.0579	5	0.0965	5	0.0965
16	74	1.4283	60	1.1581	65	1.2546	54	1.0423
17	578	11.1561	547	10.5578	530	10.2297	493	9.5155
18	1466	28.2957	1424	27.4850	1466	28.2957	1417	27.3499
19	1713	33.0631	1727	33.3333	1730	33.3912	1749	33.7580
20	989	19.0890	1036	19.9961	1030	19.8803	1076	20.7682
21	297	5.7325	313	6.0413	305	5.8869	326	6.2922
22	40	0.7721	50	0.9651	44	0.8493	55	1.0616
23	4	0.0772	3	0.0579	4	0.0772	3	0.0579
24	0	0	1	0.0193	0	0	1	0.0193
19	5181	18.7566	5181	18.8062	5181	18.8141	5181	18.8678

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LoTT 20

Total tricks with 20 total trumps declared in four ways

Tricks	Longest Longer		Longest R-S		Best Longer		Best R-S
12	1	0.0478	1	0.0478	0	0	0	0
13	1	0.0478	1	0.0478	0	0	0	0
14	2	0.0955	2	0.0955	0	0	0	0
15	1	0.0478	1	0.0478	3	0.1433	3	0.1433
16	3	0.1433	1	0.0478	0	0	0	0
17	73	3.4862	66	3.1519	63	3.0086	52	2.4833
18	343	16.3801	330	15.7593	324	15.4728	314	14.9952
19	673	32.1394	658	31.4231	677	32.3305	660	31.5186
20	611	29.1786	627	29.9427	620	29.6084	636	30.3725
21	287	13.7058	291	13.8968	299	14.2789	306	14.6132
22	85	4.0592	98	4.6800	92	4.3935	103	4.9188
23	13	0.6208	17	0.8118	15	0.7163	19	0.9074
24	1	0.0478	1	0.0478	1	0.0478	1	0.0478
13	2094	19.4642	2094	19.5177	2094	19.5239	2094	19.5769

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LoTT 21

Total tricks with 21 total trumps declared in four ways

Tricks	Longest Longer		Longest R-S		Best Longer		Best R-S
17	4	0.5579	1	0.1395	2	0.2789	1	0.1395
18	52	7.2524	52	7.2524	48	6.6946	46	6.4156
19	182	25.3835	181	25.2441	182	25.3835	181	25.2441
20	230	32.0781	227	31.6597	228	31.7992	224	31.2413
21	168	23.4310	164	22.8731	171	23.8494	167	23.2915
22	59	8.2287	69	9.6234	58	8.0893	69	9.6234
23	21	2.9289	22	3.0683	26	3.6262	27	3.7657
24	1	0.1395	1	0.1395	2	0.2789	2	0.2789
8	717	20.0767	717	20.1172	717	20.1241	717	20.1646

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© 2021 Richard Pavlicek