Study 8J73 Main

Fit Expectation by Shape

by Richard Pavlicek

Did you ever wonder what the chances are of partner’s hand providing an adequate trump fit? Or any length fit, for that matter; or a fit in a specified suit, or any suit, or either of two suits? Well, you need wonder no more! Tables on this page show the exact percent chance of all possible fits for all hand patterns.

There are 560 specific hand patterns, but it is only necessary to consider the 39 generic patterns in suit-rank order. For example, 5=4=3=1 represents five spades, four hearts, three diamonds and one club, however, percentages would be the same for any 5-4-3-1 shape with the column headers (suits) renamed.

To find the chance of a fit of at least N cards in a specific suit, add the percent for N cards and all below in the same column. (This will not work for the “Any” columns since they do not total 100 percent.)

Percents are shown to the nearest 10,000th, so 0.0000 means possible but rounding to zero. A single digit of 0 means impossible.

4=3=3=3 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
3	2.5055	0.8355	0	0.8355	0.8355	0.8355
4	20.3164	7.8481	1.4744	6.3892	6.3892	6.3892
5	57.4845	27.8302	9.5838	19.1676	19.1676	19.1676
6	73.5949	47.1041	24.2118	29.5922	29.5922	29.5922
7	71.7411	48.5471	31.0718	25.8931	25.8931	25.8931
8	54.1888	33.6166	22.1941	13.3165	13.3165	13.3165
9	20.9687	13.0528	9.0794	4.0353	4.0353	4.0353
10	4.2104	2.8070	2.1054	0.7018	0.7018	0.7018
11	0.4605	0.3290	0.2632	0.0658	0.0658	0.0658
12	0.0246	0.0187	0.0158	0.0029	0.0029	0.0029
13	0.0005	0.0004	0.0003	0.0000	0.0000	0.0000

4=4=3=2 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
2	0.4610	0	0	0	0	0.4610
3	4.9529	0	0	0	0.8355	4.1199
4	23.4469	2.9464	1.4744	1.4744	6.3892	14.5410
5	55.4907	18.8159	9.5838	9.5838	19.1676	26.6585
6	70.8317	43.7336	24.2118	24.2118	29.5922	28.0615
7	70.6342	52.0422	31.0718	31.0718	25.8931	17.6788
8	55.1151	40.4108	22.1941	22.1941	13.3165	6.7348
9	23.3207	17.8989	9.0794	9.0794	4.0353	1.5306
10	5.1101	4.2089	2.1054	2.1054	0.7018	0.1996
11	0.6060	0.5263	0.2632	0.2632	0.0658	0.0139
12	0.0349	0.0316	0.0158	0.0158	0.0029	0.0004
13	0.0007	0.0007	0.0003	0.0003	0.0000	0.0000

5=3=3=2 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
2	0.4610	0	0	0	0	0.4610
3	5.7856	0.8355	0	0.8355	0.8355	4.1199
4	26.6338	6.3892	0	6.3892	6.3892	14.5410
5	56.5885	21.5115	2.5393	19.1676	19.1676	26.6585
6	68.9656	40.0175	13.8993	29.5922	29.5922	28.0615
7	67.7909	46.6640	29.1886	25.8931	25.8931	17.6788
8	54.1797	40.3596	30.5786	13.3165	13.3165	6.7348
9	26.4279	21.1688	17.3742	4.0353	4.0353	1.5306
10	7.0385	6.1389	5.4389	0.7018	0.7018	0.1996
11	1.0519	0.9723	0.9065	0.0658	0.0658	0.0139
12	0.0788	0.0754	0.0725	0.0029	0.0029	0.0004
13	0.0022	0.0021	0.0021	0.0000	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

5=4=2=2 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
2	0.9219	0	0	0	0.4610	0.4610
3	8.2214	0	0	0	4.1199	4.1199
4	29.5487	1.4744	0	1.4744	14.5410	14.5410
5	54.8198	12.0515	2.5393	9.5838	26.6585	26.6585
6	65.8521	35.8183	13.8993	24.2118	28.0615	28.0615
7	66.4117	51.0009	29.1886	31.0718	17.6788	17.6788
8	55.3207	46.2910	30.5786	22.1941	6.7348	6.7348
9	28.5930	25.6593	17.3742	9.0794	1.5306	1.5306
10	7.9299	7.5309	5.4389	2.1054	0.1996	0.1996
11	1.1974	1.1696	0.9065	0.2632	0.0139	0.0139
12	0.0892	0.0883	0.0725	0.0158	0.0004	0.0004
13	0.0024	0.0024	0.0021	0.0003	0.0000	0.0000

4=4=4=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.2469	0	0	0	0	0.2469
2	2.5683	0	0	0	0	2.5683
3	10.5941	0	0	0	0	10.5941
4	26.9103	2.9464	1.4744	1.4744	1.4744	22.8501
5	49.1126	18.8159	9.5838	9.5838	9.5838	28.5626
6	65.8953	43.7336	24.2118	24.2118	24.2118	21.6475
7	70.0207	52.0422	31.0718	31.0718	31.0718	10.1022
8	57.2681	40.4108	22.1941	22.1941	22.1941	2.8863
9	26.9480	17.8989	9.0794	9.0794	9.0794	0.4920
10	6.3582	4.2089	2.1054	2.1054	2.1054	0.0475
11	0.7919	0.5263	0.2632	0.2632	0.2632	0.0024
12	0.0474	0.0316	0.0158	0.0158	0.0158	0.0001
13	0.0010	0.0007	0.0003	0.0003	0.0003	0.0000

5=4=3=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.2469	0	0	0	0	0.2469
2	2.5683	0	0	0	0	2.5683
3	11.4196	0	0	0	0.8355	10.5941
4	29.9213	1.4744	0	1.4744	6.3892	22.8501
5	50.4504	12.0515	2.5393	9.5838	19.1676	28.5626
6	63.7795	35.8183	13.8993	24.2118	29.5922	21.6475
7	66.9250	51.0009	29.1886	31.0718	25.8931	10.1022
8	56.5682	46.2910	30.5786	22.1941	13.3165	2.8863
9	29.8751	25.6593	17.3742	9.0794	4.0353	0.4920
10	8.2783	7.5309	5.4389	2.1054	0.7018	0.0475
11	1.2378	1.1696	0.9065	0.2632	0.0658	0.0024
12	0.0913	0.0883	0.0725	0.0158	0.0029	0.0001
13	0.0025	0.0024	0.0021	0.0003	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

6=3=2=2 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
2	0.9219	0	0	0	0.4610	0.4610
3	9.0519	0.8355	0	0.8355	4.1199	4.1199
4	33.9732	6.3892	0	6.3892	14.5410	14.5410
5	58.2825	19.1676	0	19.1676	26.6585	26.6585
6	64.4174	32.9135	4.2767	29.5922	28.0615	28.0615
7	60.1529	39.5650	19.4591	25.8931	17.6788	17.6788
8	49.9988	41.8137	33.3584	13.3165	6.7348	6.7348
9	33.8534	31.1721	27.7987	4.0353	1.5306	1.5306
10	13.1725	12.7762	12.0864	0.7018	0.1996	0.1996
11	2.8129	2.7852	2.7194	0.0658	0.0139	0.0139
12	0.2939	0.2930	0.2901	0.0029	0.0004	0.0004
13	0.0112	0.0112	0.0112	0.0000	0.0000	0.0000

6=3=3=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.2469	0	0	0	0	0.2469
2	2.5683	0	0	0	0	2.5683
3	12.2447	0.8355	0	0.8355	0.8355	10.5941
4	34.2186	6.3892	0	6.3892	6.3892	22.8501
5	54.1871	19.1676	0	19.1676	19.1676	28.5626
6	62.2341	32.9135	4.2767	29.5922	29.5922	21.6475
7	60.5106	39.5650	19.4591	25.8931	25.8931	10.1022
8	51.5190	41.8137	33.3584	13.3165	13.3165	2.8863
9	34.9866	31.1721	27.7987	4.0353	4.0353	0.4920
10	13.5135	12.7762	12.0864	0.7018	0.7018	0.0475
11	2.8534	2.7852	2.7194	0.0658	0.0658	0.0024
12	0.2960	0.2930	0.2901	0.0029	0.0029	0.0001
13	0.0112	0.0112	0.0112	0.0000	0.0000	0.0000

5=5=2=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.2469	0	0	0	0	0.2469
2	3.0290	0	0	0	0.4610	2.5683
3	14.6425	0	0	0	4.1199	10.5941
4	35.4738	0	0	0	14.5410	22.8501
5	50.4134	5.0645	2.5393	2.5393	26.6585	28.5626
6	57.9135	26.7333	13.8993	13.8993	28.0615	21.6475
7	61.8594	50.4895	29.1886	29.1886	17.6788	10.1022
8	57.4083	51.6918	30.5786	30.5786	6.7348	2.8863
9	34.6168	32.7184	17.3742	17.3742	1.5306	0.4920
10	11.0563	10.8094	5.4389	5.4389	0.1996	0.0475
11	1.8290	1.8127	0.9065	0.9065	0.0139	0.0024
12	0.1455	0.1450	0.0725	0.0725	0.0004	0.0001
13	0.0042	0.0042	0.0021	0.0021	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

6=4=2=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.2469	0	0	0	0	0.2469
2	3.0290	0	0	0	0.4610	2.5683
3	14.6425	0	0	0	4.1199	10.5941
4	36.7786	1.4744	0	1.4744	14.5410	22.8501
5	52.8536	9.5838	0	9.5838	26.6585	28.5626
6	58.5492	27.8892	4.2767	24.2118	28.0615	21.6475
7	58.6595	44.6150	19.4591	31.0718	17.6788	10.1022
8	53.0840	47.5662	33.3584	22.1941	6.7348	2.8863
9	36.8336	35.0512	27.7987	9.0794	1.5306	0.4920
10	14.3733	14.1277	12.0864	2.1054	0.1996	0.0475
11	2.9986	2.9824	2.7194	0.2632	0.0139	0.0024
12	0.3064	0.3059	0.2901	0.0158	0.0004	0.0001
13	0.0115	0.0115	0.0112	0.0003	0.0000	0.0000

7=2=2=2 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
2	1.3828	0.4610	0	0.4610	0.4610	0.4610
3	12.3045	4.1199	0	4.1199	4.1199	4.1199
4	40.9068	14.5410	0	14.5410	14.5410	14.5410
5	61.2490	26.6585	0	26.6585	26.6585	26.6585
6	61.9499	28.0615	0	28.0615	28.0615	28.0615
7	50.5764	22.9165	7.0566	17.6788	17.6788	17.6788
8	38.6887	30.3986	26.2102	6.7348	6.7348	6.7348
9	38.9957	36.8260	35.7412	1.5306	1.5306	1.5306
10	23.3623	22.9817	22.7915	0.1996	0.1996	0.1996
11	7.1639	7.1362	7.1223	0.0139	0.0139	0.0139
12	1.0269	1.0261	1.0256	0.0004	0.0004	0.0004
13	0.0526	0.0526	0.0526	0.0000	0.0000	0.0000

5=4=4=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.5457	0	0	0	0	1.5457
2	7.4195	0	0	0	0	7.4195
3	18.7032	0	0	0	0	18.7032
4	30.0231	1.4744	0	1.4744	1.4744	27.5048
5	39.7724	12.0515	2.5393	9.5838	9.5838	24.7543
6	57.6250	35.8183	13.8993	24.2118	24.2118	13.8971
7	67.5261	51.0009	29.1886	31.0718	31.0718	4.8640
8	59.7185	46.2910	30.5786	22.1941	22.1941	1.0423
9	33.8154	25.6593	17.3742	9.0794	9.0794	0.1316
10	9.6302	7.5309	5.4389	2.1054	2.1054	0.0092
11	1.4331	1.1696	0.9065	0.2632	0.2632	0.0003
12	0.1041	0.0883	0.0725	0.0158	0.0158	0.0000
13	0.0028	0.0024	0.0021	0.0003	0.0003	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

7=3=2=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.2469	0	0	0	0	0.2469
2	3.0290	0	0	0	0.4610	2.5683
3	15.4654	0.8355	0	0.8355	4.1199	10.5941
4	40.9083	6.3892	0	6.3892	14.5410	22.8501
5	57.6815	19.1676	0	19.1676	26.6585	28.5626
6	59.4704	29.5922	0	29.5922	28.0615	21.6475
7	50.7879	30.8369	7.0566	25.8931	17.6788	10.1022
8	40.6996	34.9630	26.2102	13.3165	6.7348	2.8863
9	39.9259	38.4715	35.7412	4.0353	1.5306	0.4920
10	23.6776	23.4409	22.7915	0.7018	0.1996	0.0475
11	7.2042	7.1879	7.1223	0.0658	0.0139	0.0024
12	1.0290	1.0285	1.0256	0.0029	0.0004	0.0001
13	0.0526	0.0526	0.0526	0.0000	0.0000	0.0000

5=5=3=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.5457	0	0	0	0	1.5457
2	7.4195	0	0	0	0	7.4195
3	19.5105	0	0	0	0.8355	18.7032
4	32.7611	0	0	0	6.3892	27.5048
5	41.5397	5.0645	2.5393	2.5393	19.1676	24.7543
6	55.1194	26.7333	13.8993	13.8993	29.5922	13.8971
7	63.8610	50.4895	29.1886	29.1886	25.8931	4.8640
8	59.4631	51.6918	30.5786	30.5786	13.3165	1.0423
9	36.4027	32.7184	17.3742	17.3742	4.0353	0.1316
10	11.5168	10.8094	5.4389	5.4389	0.7018	0.0092
11	1.8788	1.8127	0.9065	0.9065	0.0658	0.0003
12	0.1480	0.1450	0.0725	0.0725	0.0029	0.0000
13	0.0042	0.0042	0.0021	0.0021	0.0000	0.0000

6=5=1=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.4939	0	0	0	0.2469	0.2469
2	5.1341	0	0	0	2.5683	2.5683
3	20.9199	0	0	0	10.5941	10.5941
4	41.8657	0	0	0	22.8501	22.8501
5	49.5430	2.5393	0	2.5393	28.5626	28.5626
6	49.2265	17.9097	4.2767	13.8993	21.6475	21.6475
7	52.6620	43.9151	19.4591	29.1886	10.1022	10.1022
8	56.2940	53.2885	33.3584	30.5786	2.8863	2.8863
9	41.9997	41.1130	27.7987	17.3742	0.4920	0.4920
10	17.3637	17.2689	12.0864	5.4389	0.0475	0.0475
11	3.6287	3.6239	2.7194	0.9065	0.0024	0.0024
12	0.3627	0.3626	0.2901	0.0725	0.0001	0.0001
13	0.0132	0.0132	0.0112	0.0021	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

6=4=3=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.5457	0	0	0	0	1.5457
2	7.4195	0	0	0	0	7.4195
3	19.5105	0	0	0	0.8355	18.7032
4	34.0060	1.4744	0	1.4744	6.3892	27.5048
5	44.2360	9.5838	0	9.5838	19.1676	24.7543
6	55.8345	27.8892	4.2767	24.2118	29.5922	13.8971
7	60.5035	44.6150	19.4591	31.0718	25.8931	4.8640
8	55.4497	47.5662	33.3584	22.1941	13.3165	1.0423
9	38.4884	35.0512	27.7987	9.0794	4.0353	0.1316
10	14.8265	14.1277	12.0864	2.1054	0.7018	0.0092
11	3.0485	2.9824	2.7194	0.2632	0.0658	0.0003
12	0.3088	0.3059	0.2901	0.0158	0.0029	0.0000
13	0.0115	0.0115	0.0112	0.0003	0.0000	0.0000

7=4=1=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.4939	0	0	0	0.2469	0.2469
2	5.1341	0	0	0	2.5683	2.5683
3	20.9199	0	0	0	10.5941	10.5941
4	43.1031	1.4744	0	1.4744	22.8501	22.8501
5	53.2572	9.5838	0	9.5838	28.5626	28.5626
6	52.6280	24.2118	0	24.2118	21.6475	21.6475
7	48.6936	36.1001	7.0566	31.0718	10.1022	10.1022
8	44.7515	41.5589	26.2102	22.1941	2.8863	2.8863
9	42.4280	41.6887	35.7412	9.0794	0.4920	0.4920
10	24.7699	24.6771	22.7915	2.1054	0.0475	0.0475
11	7.3884	7.3837	7.1223	0.2632	0.0024	0.0024
12	1.0415	1.0414	1.0256	0.0158	0.0001	0.0001
13	0.0529	0.0529	0.0526	0.0003	0.0000	0.0000

6=5=2=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.5457	0	0	0	0	1.5457
2	7.8791	0	0	0	0.4610	7.4195
3	22.6293	0	0	0	4.1199	18.7032
4	38.9302	0	0	0	14.5410	27.5048
5	45.0872	2.5393	0	2.5393	26.6585	24.7543
6	48.8872	17.9097	4.2767	13.8993	28.0615	13.8971
7	54.1652	43.9151	19.4591	29.1886	17.6788	4.8640
8	57.1739	53.2885	33.3584	30.5786	6.7348	1.0423
9	42.5256	41.1130	27.7987	17.3742	1.5306	0.1316
10	17.4760	17.2689	12.0864	5.4389	0.1996	0.0092
11	3.6381	3.6239	2.7194	0.9065	0.0139	0.0003
12	0.3630	0.3626	0.2901	0.0725	0.0004	0.0000
13	0.0133	0.0132	0.0112	0.0021	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

7=3=3=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.5457	0	0	0	0	1.5457
2	7.4195	0	0	0	0	7.4195
3	20.3175	0.8355	0	0.8355	0.8355	18.7032
4	37.9243	6.3892	0	6.3892	6.3892	27.5048
5	49.8480	19.1676	0	19.1676	19.1676	24.7543
6	56.7455	29.5922	0	29.5922	29.5922	13.8971
7	52.3824	30.8369	7.0566	25.8931	25.8931	4.8640
8	43.8979	34.9630	26.2102	13.3165	13.3165	1.0423
9	41.2980	38.4715	35.7412	4.0353	4.0353	0.1316
10	24.0995	23.4409	22.7915	0.7018	0.7018	0.0092
11	7.2539	7.1879	7.1223	0.0658	0.0658	0.0003
12	1.0315	1.0285	1.0256	0.0029	0.0029	0.0000
13	0.0527	0.0526	0.0526	0.0000	0.0000	0.0000

8=2=2=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.2469	0	0	0	0	0.2469
2	3.4897	0.4610	0	0.4610	0.4610	2.5683
3	18.6724	4.1199	0	4.1199	4.1199	10.5941
4	47.1922	14.5410	0	14.5410	14.5410	22.8501
5	60.9152	26.6585	0	26.6585	26.6585	28.5626
6	58.8233	28.0615	0	28.0615	28.0615	21.6475
7	42.4114	17.6788	0	17.6788	17.6788	10.1022
8	24.2513	16.7653	11.4250	6.7348	6.7348	2.8863
9	35.7188	34.6026	33.7556	1.5306	1.5306	0.4920
10	35.5918	35.3869	35.2232	0.1996	0.1996	0.0475
11	16.1737	16.1577	16.1440	0.0139	0.0139	0.0024
12	3.2297	3.2292	3.2288	0.0004	0.0004	0.0001
13	0.2235	0.2235	0.2235	0.0000	0.0000	0.0000

7=4=2=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.5457	0	0	0	0	1.5457
2	7.8791	0	0	0	0.4610	7.4195
3	22.6293	0	0	0	4.1199	18.7032
4	40.1395	1.4744	0	1.4744	14.5410	27.5048
5	49.0361	9.5838	0	9.5838	26.6585	24.7543
6	52.4280	24.2118	0	24.2118	28.0615	13.8971
7	50.0918	36.1001	7.0566	31.0718	17.6788	4.8640
8	45.9479	41.5589	26.2102	22.1941	6.7348	1.0423
9	42.8703	41.6887	35.7412	9.0794	1.5306	0.1316
10	24.8764	24.6771	22.7915	2.1054	0.1996	0.0092
11	7.3978	7.3837	7.1223	0.2632	0.0139	0.0003
12	1.0419	1.0414	1.0256	0.0158	0.0004	0.0000
13	0.0529	0.0529	0.0526	0.0003	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

8=3=1=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.4939	0	0	0	0.2469	0.2469
2	5.1341	0	0	0	2.5683	2.5683
3	21.7353	0.8355	0	0.8355	10.5941	10.5941
4	46.9380	6.3892	0	6.3892	22.8501	22.8501
5	57.9245	19.1676	0	19.1676	28.5626	28.5626
6	55.8189	29.5922	0	29.5922	21.6475	21.6475
7	42.6908	25.8931	0	25.8931	10.1022	10.1022
8	26.7526	22.4596	11.4250	13.3165	2.8863	2.8863
9	36.5891	36.0509	33.7556	4.0353	0.4920	0.4920
10	35.8506	35.7680	35.2232	0.7018	0.0475	0.0475
11	16.2130	16.2082	16.1440	0.0658	0.0024	0.0024
12	3.2318	3.2317	3.2288	0.0029	0.0001	0.0001
13	0.2236	0.2236	0.2235	0.0000	0.0000	0.0000

6=6=1=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.7927	0	0	0	0.2469	1.5457
2	9.9762	0	0	0	2.5683	7.4195
3	28.5995	0	0	0	10.5941	18.7032
4	44.5392	0	0	0	22.8501	27.5048
5	45.4658	0	0	0	28.5626	24.7543
6	38.6577	8.4894	4.2767	4.2767	21.6475	13.8971
7	42.7933	36.2292	19.4591	19.4591	10.1022	4.8640
8	57.3435	55.6247	33.3584	33.3584	2.8863	1.0423
9	48.8784	48.3476	27.7987	27.7987	0.4920	0.1316
10	23.4280	23.3715	12.0864	12.0864	0.0475	0.0092
11	5.4291	5.4264	2.7194	2.7194	0.0024	0.0003
12	0.5802	0.5801	0.2901	0.2901	0.0001	0.0000
13	0.0223	0.0223	0.0112	0.0112	0.0000	0.0000

7=5=1=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.7927	0	0	0	0.2469	1.5457
2	9.9762	0	0	0	2.5683	7.4195
3	28.5995	0	0	0	10.5941	18.7032
4	44.5392	0	0	0	22.8501	27.5048
5	46.8664	2.5393	0	2.5393	28.5626	24.7543
6	41.6563	13.8993	0	13.8993	21.6475	13.8971
7	42.7219	34.7086	7.0566	29.1886	10.1022	4.8640
8	50.2696	48.3376	26.2102	30.5786	2.8863	1.0423
9	47.3695	46.9013	35.7412	17.3742	0.4920	0.1316
10	27.5532	27.4977	22.7915	5.4389	0.0475	0.0092
11	8.0196	8.0169	7.1223	0.9065	0.0024	0.0003
12	1.0982	1.0981	1.0256	0.0725	0.0001	0.0000
13	0.0547	0.0547	0.0526	0.0021	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

8=3=2=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.5457	0	0	0	0	1.5457
2	7.8791	0	0	0	0.4610	7.4195
3	23.4341	0.8355	0	0.8355	4.1199	18.7032
4	43.8902	6.3892	0	6.3892	14.5410	27.5048
5	54.1958	19.1676	0	19.1676	26.6585	24.7543
6	55.5505	29.5922	0	29.5922	28.0615	13.8971
7	44.1020	25.8931	0	25.8931	17.6788	4.8640
8	28.4123	22.4596	11.4250	13.3165	6.7348	1.0423
9	36.9702	36.0509	33.7556	4.0353	1.5306	0.1316
10	35.9401	35.7680	35.2232	0.7018	0.1996	0.0092
11	16.2222	16.2082	16.1440	0.0658	0.0139	0.0003
12	3.2322	3.2317	3.2288	0.0029	0.0004	0.0000
13	0.2236	0.2236	0.2235	0.0000	0.0000	0.0000

8=4=1=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.7927	0	0	0	0.2469	1.5457
2	9.9762	0	0	0	2.5683	7.4195
3	28.5995	0	0	0	10.5941	18.7032
4	45.6811	1.4744	0	1.4744	22.8501	27.5048
5	50.5821	9.5838	0	9.5838	28.5626	24.7543
6	47.6133	24.2118	0	24.2118	21.6475	13.8971
7	41.8876	31.0718	0	31.0718	10.1022	4.8640
8	33.2264	30.4499	11.4250	22.1941	2.8863	1.0423
9	39.4479	39.1065	33.7556	9.0794	0.4920	0.1316
10	36.8288	36.7791	35.2232	2.1054	0.0475	0.0092
11	16.3996	16.3969	16.1440	0.2632	0.0024	0.0003
12	3.2446	3.2446	3.2288	0.0158	0.0001	0.0000
13	0.2239	0.2239	0.2235	0.0003	0.0000	0.0000

9=2=1=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.4939	0	0	0	0.2469	0.2469
2	5.5946	0.4610	0	0.4610	2.5683	2.5683
3	24.8967	4.1199	0	4.1199	10.5941	10.5941
4	52.5722	14.5410	0	14.5410	22.8501	22.8501
5	61.6063	26.6585	0	26.6585	28.5626	28.5626
6	56.1300	28.0615	0	28.0615	21.6475	21.6475
7	36.4640	17.6788	0	17.6788	10.1022	10.1022
8	12.4984	6.7348	0	6.7348	2.8863	2.8863
9	19.7337	19.1599	18.1761	1.5306	0.4920	0.4920
10	41.2637	41.2070	41.0937	0.1996	0.0475	0.0475
11	30.8376	30.8330	30.8203	0.0139	0.0024	0.0024
12	9.0412	9.0411	9.0406	0.0004	0.0001	0.0001
13	0.8693	0.8693	0.8693	0.0000	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

9=2=2=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.5457	0	0	0	0	1.5457
2	8.3388	0.4610	0	0.4610	0.4610	7.4195
3	26.5370	4.1199	0	4.1199	4.1199	18.7032
4	49.4503	14.5410	0	14.5410	14.5410	27.5048
5	58.4386	26.6585	0	26.6585	26.6585	24.7543
6	55.3794	28.0615	0	28.0615	28.0615	13.8971
7	38.1418	17.6788	0	17.6788	17.6788	4.8640
8	14.4671	6.7348	0	6.7348	6.7348	1.0423
9	20.2109	19.1599	18.1761	1.5306	1.5306	0.1316
10	41.3262	41.2070	41.0937	0.1996	0.1996	0.0092
11	30.8461	30.8330	30.8203	0.0139	0.0139	0.0003
12	9.0415	9.0411	9.0406	0.0004	0.0004	0.0000
13	0.8693	0.8693	0.8693	0.0000	0.0000	0.0000

7=6=0=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.2561	0	0	0	0.1280	0.1280
1	3.0913	0	0	0	1.5457	1.5457
2	14.7854	0	0	0	7.4195	7.4195
3	35.6784	0	0	0	18.7032	18.7032
4	46.9091	0	0	0	27.5048	27.5048
5	43.6763	0	0	0	24.7543	24.7543
6	29.6882	4.2767	0	4.2767	13.8971	13.8971
7	30.7150	25.6834	7.0566	19.4591	4.8640	4.8640
8	52.1587	51.3287	26.2102	33.3584	1.0423	1.0423
9	53.6433	53.4420	35.7412	27.7987	0.1316	0.1316
10	32.9119	32.8937	22.7915	12.0864	0.0092	0.0092
11	9.7844	9.7838	7.1223	2.7194	0.0003	0.0003
12	1.3155	1.3155	1.0256	0.2901	0.0000	0.0000
13	0.0638	0.0638	0.0526	0.0112	0.0000	0.0000

9=3=1=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.7927	0	0	0	0.2469	1.5457
2	9.9762	0	0	0	2.5683	7.4195
3	29.3968	0.8355	0	0.8355	10.5941	18.7032
4	49.1371	6.3892	0	6.3892	22.8501	27.5048
5	55.7078	19.1676	0	19.1676	28.5626	24.7543
6	51.7595	29.5922	0	29.5922	21.6475	13.8971
7	38.6829	25.8931	0	25.8931	10.1022	4.8640
8	17.1993	13.3165	0	13.3165	2.8863	1.0423
9	21.3227	20.9685	18.1761	4.0353	0.4920	0.1316
10	41.5158	41.4815	41.0937	0.7018	0.0475	0.0092
11	30.8810	30.8784	30.8203	0.0658	0.0024	0.0003
12	9.0436	9.0435	9.0406	0.0029	0.0001	0.0000
13	0.8693	0.8693	0.8693	0.0000	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

8=5=0=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.2561	0	0	0	0.1280	0.1280
1	3.0913	0	0	0	1.5457	1.5457
2	14.7854	0	0	0	7.4195	7.4195
3	35.6784	0	0	0	18.7032	18.7032
4	46.9091	0	0	0	27.5048	27.5048
5	45.0328	2.5393	0	2.5393	24.7543	24.7543
6	35.2372	13.8993	0	13.8993	13.8971	13.8971
7	35.2964	29.1886	0	29.1886	4.8640	4.8640
8	39.6480	38.3414	11.4250	30.5786	1.0423	1.0423
9	44.5427	44.3978	33.7556	17.3742	0.1316	0.1316
10	39.0916	39.0747	35.2232	5.4389	0.0092	0.0092
11	16.9995	16.9989	16.1440	0.9065	0.0003	0.0003
12	3.3012	3.3012	3.2288	0.0725	0.0000	0.0000
13	0.2256	0.2256	0.2235	0.0021	0.0000	0.0000

10=1=1=1 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
1	0.7408	0.2469	0	0.2469	0.2469	0.2469
2	7.6976	2.5683	0	2.5683	2.5683	2.5683
3	30.9772	10.5941	0	10.5941	10.5941	10.5941
4	57.0468	22.8501	0	22.8501	22.8501	22.8501
5	62.9906	28.5626	0	28.5626	28.5626	28.5626
6	54.4010	21.6475	0	21.6475	21.6475	21.6475
7	29.8334	10.1022	0	10.1022	10.1022	10.1022
8	8.6590	2.8863	0	2.8863	2.8863	2.8863
9	1.4760	0.4920	0	0.4920	0.4920	0.4920
10	28.5058	28.4683	28.4495	0.0475	0.0475	0.0475
11	46.2356	46.2321	46.2304	0.0024	0.0024	0.0024
12	22.1908	22.1907	22.1906	0.0001	0.0001	0.0001
13	3.1294	3.1294	3.1294	0.0000	0.0000	0.0000

9=4=0=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.2561	0	0	0	0.1280	0.1280
1	3.0913	0	0	0	1.5457	1.5457
2	14.7854	0	0	0	7.4195	7.4195
3	35.6784	0	0	0	18.7032	18.7032
4	47.9556	1.4744	0	1.4744	27.5048	27.5048
5	48.8145	9.5838	0	9.5838	24.7543	24.7543
6	42.1220	24.2118	0	24.2118	13.8971	13.8971
7	38.3863	31.0718	0	31.0718	4.8640	4.8640
8	24.2108	22.1941	0	22.1941	1.0423	1.0423
9	24.9664	24.8320	18.1761	9.0794	0.1316	0.1316
10	42.2585	42.2467	41.0937	2.1054	0.0092	0.0092
11	31.0443	31.0437	30.8203	0.2632	0.0003	0.0003
12	9.0563	9.0563	9.0406	0.0158	0.0000	0.0000
13	0.8696	0.8696	0.8693	0.0003	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

10=2=1=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	1.7927	0	0	0	0.2469	1.5457
2	10.4356	0.4610	0	0.4610	2.5683	7.4195
3	32.4540	4.1199	0	4.1199	10.5941	18.7032
4	54.0474	14.5410	0	14.5410	22.8501	27.5048
5	60.1031	26.6585	0	26.6585	28.5626	24.7543
6	53.0550	28.0615	0	28.0615	21.6475	13.8971
7	31.8483	17.6788	0	17.6788	10.1022	4.8640
8	10.6589	6.7348	0	6.7348	2.8863	1.0423
9	2.1542	1.5306	0	1.5306	0.4920	0.1316
10	28.5629	28.5412	28.4495	0.1996	0.0475	0.0092
11	46.2416	46.2396	46.2304	0.0139	0.0024	0.0003
12	22.1911	22.1910	22.1906	0.0004	0.0001	0.0000
13	3.1295	3.1294	3.1294	0.0000	0.0000	0.0000

10=3=0=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.2561	0	0	0	0.1280	0.1280
1	3.0913	0	0	0	1.5457	1.5457
2	14.7854	0	0	0	7.4195	7.4195
3	36.4575	0.8355	0	0.8355	18.7032	18.7032
4	51.0325	6.3892	0	6.3892	27.5048	27.5048
5	54.1771	19.1676	0	19.1676	24.7543	24.7543
6	47.6870	29.5922	0	29.5922	13.8971	13.8971
7	34.5564	25.8931	0	25.8931	4.8640	4.8640
8	15.3931	13.3165	0	13.3165	1.0423	1.0423
9	4.2985	4.0353	0	4.0353	0.1316	0.1316
10	28.8170	28.8112	28.4495	0.7018	0.0092	0.0092
11	46.2719	46.2714	46.2304	0.0658	0.0003	0.0003
12	22.1934	22.1934	22.1906	0.0029	0.0000	0.0000
13	3.1295	3.1295	3.1294	0.0000	0.0000	0.0000

11=1=1=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.1280	0	0	0	0	0.1280
1	2.0396	0.2469	0	0.2469	0.2469	1.5457
2	12.5305	2.5683	0	2.5683	2.5683	7.4195
3	38.2273	10.5941	0	10.5941	10.5941	18.7032
4	57.7392	22.8501	0	22.8501	22.8501	27.5048
5	61.0007	28.5626	0	28.5626	28.5626	24.7543
6	50.6330	21.6475	0	21.6475	21.6475	13.8971
7	24.8716	10.1022	0	10.1022	10.1022	4.8640
8	6.8149	2.8863	0	2.8863	2.8863	1.0423
9	1.1156	0.4920	0	0.4920	0.4920	0.1316
10	0.1042	0.0475	0	0.0475	0.0475	0.0092
11	43.8607	43.8602	43.8596	0.0024	0.0024	0.0003
12	45.6141	45.6141	45.6140	0.0001	0.0001	0.0000
13	10.5263	10.5263	10.5263	0.0000	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

11=2=0=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.2561	0	0	0	0.1280	0.1280
1	3.0913	0	0	0	1.5457	1.5457
2	15.2437	0.4610	0	0.4610	7.4195	7.4195
3	39.4106	4.1199	0	4.1199	18.7032	18.7032
4	55.2191	14.5410	0	14.5410	27.5048	27.5048
5	57.9973	26.6585	0	26.6585	24.7543	24.7543
6	49.0402	28.0615	0	28.0615	13.8971	13.8971
7	27.1139	17.6788	0	17.6788	4.8640	4.8640
8	8.8193	6.7348	0	6.7348	1.0423	1.0423
9	1.7938	1.5306	0	1.5306	0.1316	0.1316
10	0.2180	0.1996	0	0.1996	0.0092	0.0092
11	43.8635	43.8634	43.8596	0.0139	0.0003	0.0003
12	45.6144	45.6144	45.6140	0.0004	0.0000	0.0000
13	10.5263	10.5263	10.5263	0.0000	0.0000	0.0000

12=1=0=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.2561	0	0	0	0.1280	0.1280
1	3.3382	0.2469	0	0.2469	1.5457	1.5457
2	17.3306	2.5683	0	2.5683	7.4195	7.4195
3	44.8768	10.5941	0	10.5941	18.7032	18.7032
4	58.1279	22.8501	0	22.8501	27.5048	27.5048
5	56.5367	28.5626	0	28.5626	24.7543	24.7543
6	45.9252	21.6475	0	21.6475	13.8971	13.8971
7	19.7911	10.1022	0	10.1022	4.8640	4.8640
8	4.9709	2.8863	0	2.8863	1.0423	1.0423
9	0.7552	0.4920	0	0.4920	0.1316	0.1316
10	0.0658	0.0475	0	0.0475	0.0092	0.0092
11	0.0030	0.0024	0	0.0024	0.0003	0.0003
12	66.6667	66.6667	66.6667	0.0001	0.0000	0.0000
13	33.3333	33.3333	33.3333	0.0000	0.0000	0.0000

13=0=0=0 Fit Expectation

Fit Length	Any Suit	Any Major	Spades	Hearts	Diamonds	Clubs
0	0.3841	0.1280	0	0.1280	0.1280	0.1280
1	4.6367	1.5457	0	1.5457	1.5457	1.5457
2	22.0977	7.4195	0	7.4195	7.4195	7.4195
3	50.9255	18.7032	0	18.7032	18.7032	18.7032
4	58.2132	27.5048	0	27.5048	27.5048	27.5048
5	56.7660	24.7543	0	24.7543	24.7543	24.7543
6	40.2775	13.8971	0	13.8971	13.8971	13.8971
7	14.5920	4.8640	0	4.8640	4.8640	4.8640
8	3.1269	1.0423	0	1.0423	1.0423	1.0423
9	0.3948	0.1316	0	0.1316	0.1316	0.1316
10	0.0275	0.0092	0	0.0092	0.0092	0.0092
11	0.0009	0.0003	0	0.0003	0.0003	0.0003
12	0.0000	0.0000	0	0.0000	0.0000	0.0000
13	100	100	100	0.0000	0.0000	0.0000

Study 8J73 Main

Top Fit Expectation by Shape

© 2022 Richard Pavlicek