Stats 8H13 Main

Nine Spades opp. 6-6 Minors

by Richard Pavlicek

Statistics for 10,485,760 Deals

General Lengths Ranks Suits Patterns Cards

Most table cells show five values in order: Min-Max Mode Median Mean.
Mean is rounded to four places, except theoretical cell tinted green is exact.
Red tinted cell shows highest mean value in its row; blue shows lowest.

General

Statistic North South West East Theoretical
Hand freakness 0-18 4 4 4.2244 0-18 4 4 4.2256 11-13 12 12 11.5917 11-11 11 11 11.0000 0-20 1 3 2.9829
Generic pattern 0-37 2 5 6.6684 0-37 2 5 6.6703 26-32 26 27 27.3471 22-22 22 22 22.0000 0-38 1 3 4.1404
Controls A=2 K=1 0-12 3 3 3.0007 0-12 3 3 2.9999 0-10 3 3 3.0000 0-8 3 3 2.9994 0-12 3 3 3.0000
High-card points 0-31 10 10 10.0006 0-32 10 10 9.9997 0-25 10 10 10.0005 0-24 10 10 9.9992 0-37 10 10 10.0000
Total points 0-34 11 12 11.7696 0-34 11 12 11.7686 5-31 15 14 14.3966 5-30 15 15 14.6830 0-38 11 11 11.3682
Playing half-tricks 2-26 12 12 11.7343 2-26 12 12 11.7342 14-26 18 18 18.3514 12-26 18 18 17.8827 2-26 10 11 10.7371
Quick half-tricks 0-16 2 3 3.4328 0-16 2 3 3.4317 0-8 0 1 0.9976 0-10 4 4 3.8733 0-16 2 3 3.5563
Losing trick count 0-12 7 7 7.0939 0-12 7 7 7.0936 0-6 4 4 3.9710 0-7 4 4 4.1541 0-12 8 8 7.5566
Long suit length 4-12 5 5 5.4672 4-12 5 5 5.4675 9-9 9 9 9.0000 6-6 6 6 6.0000 4-13 5 5 4.9008
Short suit length 0-3 2 1 1.4589 0-3 2 1 1.4584 0-1 0 0 0.4479 0 0-3 2 2 1.6977
Suit controls 0-28 9 9 9.6628 0-28 9 9 9.6622 7-28 14 15 15.1907 10-28 17 17 16.7680 0-28 9 9 8.9418
Suit guards 0-8 4 5 4.9358 0-8 4 5 4.9356 2-8 4 4 3.3570 4-6 4 4 4.2307 0-8 6 5 5.1750

Statistic	North	South	West	East	Theoretical
Hand freakness	0-18 4 4 4.2244	0-18 4 4 4.2256	11-13 12 12 11.5917	11-11 11 11 11.0000	0-20 1 3 2.9829
Generic pattern	0-37 2 5 6.6684	0-37 2 5 6.6703	26-32 26 27 27.3471	22-22 22 22 22.0000	0-38 1 3 4.1404
Controls A=2 K=1	0-12 3 3 3.0007	0-12 3 3 2.9999	0-10 3 3 3.0000	0-8 3 3 2.9994	0-12 3 3 3.0000
High-card points	0-31 10 10 10.0006	0-32 10 10 9.9997	0-25 10 10 10.0005	0-24 10 10 9.9992	0-37 10 10 10.0000
Total points	0-34 11 12 11.7696	0-34 11 12 11.7686	5-31 15 14 14.3966	5-30 15 15 14.6830	0-38 11 11 11.3682
Playing half-tricks	2-26 12 12 11.7343	2-26 12 12 11.7342	14-26 18 18 18.3514	12-26 18 18 17.8827	2-26 10 11 10.7371
Quick half-tricks	0-16 2 3 3.4328	0-16 2 3 3.4317	0-8 0 1 0.9976	0-10 4 4 3.8733	0-16 2 3 3.5563
Losing trick count	0-12 7 7 7.0939	0-12 7 7 7.0936	0-6 4 4 3.9710	0-7 4 4 4.1541	0-12 8 8 7.5566
Long suit length	4-12 5 5 5.4672	4-12 5 5 5.4675	9-9 9 9 9.0000	6-6 6 6 6.0000	4-13 5 5 4.9008
Short suit length	0-3 2 1 1.4589	0-3 2 1 1.4584	0-1 0 0 0.4479	0	0-3 2 2 1.6977
Suit controls	0-28 9 9 9.6628	0-28 9 9 9.6622	7-28 14 15 15.1907	10-28 17 17 16.7680	0-28 9 9 8.9418
Suit guards	0-8 4 5 4.9358	0-8 4 5 4.9356	2-8 4 4 3.3570	4-6 4 4 4.2307	0-8 6 5 5.1750

Suit controls (AKQ and/or shortness): 1st round=4, 2nd=2, 3rd=1
Suit guards (for notrump): stopper=2, half stopper=1

Stats 8H13 Main Top Nine Spades opp. 6-6 Minors

Lengths

Statistic North South West East Theoretical
Voids 0-2 0 0 0.0864 0-2 0 0 0.0863 0-2 1 1 0.5917 1-1 1 1 1.0000 0-3 0 0 0.0512
Singletons 0-3 0 0 0.4620 0-3 0 0 0.4625 0-2 2 1 1.1944 1-1 1 1 1.0000 0-3 0 0 0.3202
Doubletons 0-3 1 1 0.9192 0-3 1 1 0.9190 0-2 1 1 0.8759 0 0-3 1 1 0.8235
Tripletons 0-3 1 1 0.9631 0-3 1 1 0.9626 0-1 0 0 0.2985 0 0-3 1 1 1.1453
4 card suits 0-3 0 1 0.6913 0-3 0 1 0.6917 0-1 0 0 0.0396 0 0-3 1 1 0.9544
5 card suits 0-2 0 0 0.4423 0-2 0 0 0.4421 0 0 0-2 0 0 0.4988
6 card suits 0-2 0 0 0.2676 0-2 0 0 0.2675 0 2-2 2 2 2.0000 0-2 0 0 0.1663
7 card suits 0-1 0 0 0.1245 0-1 0 0 0.1247 0 0 0-1 0 0 0.0353
8 card suits 0-1 0 0 0.0368 0-1 0 0 0.0368 0 0 0-1 0 0 0.0047
9 card suits 0-1 0 0 0.0063 0-1 0 0 0.0063 1-1 1 1 1.0000 0 0-1 0 0 0.0004
10 card suits 0-1 0 0 0.0006 0-1 0 0 0.0006 0 0 0-1 0 0 0.0000
11 card suits 0-1 0 0 0.0000 0-1 0 0 0.0000 0 0 0-1 0 0 0.0000
12 card suits 0-1 0 0 0.0000 0-1 0 0 0.0000 0 0 0-1 0 0 0.0000
13 card suits 0 0 0 0 0-1 0 0 0.0000

Statistic	North	South	West	East	Theoretical
Voids	0-2 0 0 0.0864	0-2 0 0 0.0863	0-2 1 1 0.5917	1-1 1 1 1.0000	0-3 0 0 0.0512
Singletons	0-3 0 0 0.4620	0-3 0 0 0.4625	0-2 2 1 1.1944	1-1 1 1 1.0000	0-3 0 0 0.3202
Doubletons	0-3 1 1 0.9192	0-3 1 1 0.9190	0-2 1 1 0.8759	0	0-3 1 1 0.8235
Tripletons	0-3 1 1 0.9631	0-3 1 1 0.9626	0-1 0 0 0.2985	0	0-3 1 1 1.1453
4 card suits	0-3 0 1 0.6913	0-3 0 1 0.6917	0-1 0 0 0.0396	0	0-3 1 1 0.9544
5 card suits	0-2 0 0 0.4423	0-2 0 0 0.4421	0	0	0-2 0 0 0.4988
6 card suits	0-2 0 0 0.2676	0-2 0 0 0.2675	0	2-2 2 2 2.0000	0-2 0 0 0.1663
7 card suits	0-1 0 0 0.1245	0-1 0 0 0.1247	0	0	0-1 0 0 0.0353
8 card suits	0-1 0 0 0.0368	0-1 0 0 0.0368	0	0	0-1 0 0 0.0047
9 card suits	0-1 0 0 0.0063	0-1 0 0 0.0063	1-1 1 1 1.0000	0	0-1 0 0 0.0004
10 card suits	0-1 0 0 0.0006	0-1 0 0 0.0006	0	0	0-1 0 0 0.0000
11 card suits	0-1 0 0 0.0000	0-1 0 0 0.0000	0	0	0-1 0 0 0.0000
12 card suits	0-1 0 0 0.0000	0-1 0 0 0.0000	0	0	0-1 0 0 0.0000
13 card suits	0	0	0	0	0-1 0 0 0.0000

0 = nonexistent; 0.0000 = exists but nearest 10,000th rounds to zero.

Stats 8H13 Main Top Nine Spades opp. 6-6 Minors

Ranks

Rank North South West East Theoretical
Ace 0-4 1 1 1.0004 0-4 1 1 1.0000 0-4 1 1 1.0001 0-3 1 1 0.9996 0-4 1 1 1.0000
King 0-4 1 1 0.9999 0-4 1 1 1.0000 0-4 1 1 0.9999 0-3 1 1 1.0002 0-4 1 1 1.0000
Queen 0-4 1 1 0.9996 0-4 1 1 0.9999 0-4 1 1 1.0003 0-3 1 1 1.0002 0-4 1 1 1.0000
Jack 0-4 1 1 1.0000 0-4 1 1 1.0001 0-4 1 1 0.9999 0-3 1 1 1.0000 0-4 1 1 1.0000
Ten 0-4 1 1 1.0004 0-4 1 1 0.9998 0-4 1 1 0.9997 0-3 1 1 1.0001 0-4 1 1 1.0000
Nine 0-4 1 1 1.0003 0-4 1 1 0.9998 0-4 1 1 0.9998 0-3 1 1 1.0001 0-4 1 1 1.0000
Eight 0-4 1 1 1.0004 0-4 1 1 0.9998 0-4 1 1 0.9998 0-3 1 1 1.0000 0-4 1 1 1.0000
Seven 0-4 1 1 0.9997 0-4 1 1 0.9998 0-4 1 1 1.0002 0-3 1 1 1.0003 0-4 1 1 1.0000
Six 0-4 1 1 0.9996 0-4 1 1 1.0003 0-4 1 1 1.0000 0-3 1 1 1.0000 0-4 1 1 1.0000
Five 0-4 1 1 0.9999 0-4 1 1 1.0002 0-4 1 1 0.9997 0-3 1 1 1.0002 0-4 1 1 1.0000
Four 0-4 1 1 0.9998 0-4 1 1 1.0001 0-4 1 1 1.0003 0-3 1 1 0.9998 0-4 1 1 1.0000
Three 0-4 1 1 1.0002 0-4 1 1 0.9999 0-4 1 1 1.0000 0-3 1 1 0.9998 0-4 1 1 1.0000
Two 0-4 1 1 0.9998 0-4 1 1 1.0003 0-4 1 1 1.0002 0-3 1 1 0.9997 0-4 1 1 1.0000

Rank	North	South	West	East	Theoretical
Ace	0-4 1 1 1.0004	0-4 1 1 1.0000	0-4 1 1 1.0001	0-3 1 1 0.9996	0-4 1 1 1.0000
King	0-4 1 1 0.9999	0-4 1 1 1.0000	0-4 1 1 0.9999	0-3 1 1 1.0002	0-4 1 1 1.0000
Queen	0-4 1 1 0.9996	0-4 1 1 0.9999	0-4 1 1 1.0003	0-3 1 1 1.0002	0-4 1 1 1.0000
Jack	0-4 1 1 1.0000	0-4 1 1 1.0001	0-4 1 1 0.9999	0-3 1 1 1.0000	0-4 1 1 1.0000
Ten	0-4 1 1 1.0004	0-4 1 1 0.9998	0-4 1 1 0.9997	0-3 1 1 1.0001	0-4 1 1 1.0000
Nine	0-4 1 1 1.0003	0-4 1 1 0.9998	0-4 1 1 0.9998	0-3 1 1 1.0001	0-4 1 1 1.0000
Eight	0-4 1 1 1.0004	0-4 1 1 0.9998	0-4 1 1 0.9998	0-3 1 1 1.0000	0-4 1 1 1.0000
Seven	0-4 1 1 0.9997	0-4 1 1 0.9998	0-4 1 1 1.0002	0-3 1 1 1.0003	0-4 1 1 1.0000
Six	0-4 1 1 0.9996	0-4 1 1 1.0003	0-4 1 1 1.0000	0-3 1 1 1.0000	0-4 1 1 1.0000
Five	0-4 1 1 0.9999	0-4 1 1 1.0002	0-4 1 1 0.9997	0-3 1 1 1.0002	0-4 1 1 1.0000
Four	0-4 1 1 0.9998	0-4 1 1 1.0001	0-4 1 1 1.0003	0-3 1 1 0.9998	0-4 1 1 1.0000
Three	0-4 1 1 1.0002	0-4 1 1 0.9999	0-4 1 1 1.0000	0-3 1 1 0.9998	0-4 1 1 1.0000
Two	0-4 1 1 0.9998	0-4 1 1 1.0003	0-4 1 1 1.0002	0-3 1 1 0.9997	0-4 1 1 1.0000

Stats 8H13 Main Top Nine Spades opp. 6-6 Minors

Suits

Statistic North South West East Theoretical
length 0-4 2 2 1.8680 0-4 2 2 1.8668 9-9 9 9 9.0000 0-1 0 0 0.2652 0-13 10 10 3.2500
length 0-12 5 5 5.1989 0-12 5 5 5.1993 0-4 2 2 1.8670 0-1 1 1 0.7348 0-13 10 10 3.2500
length 0-7 3 3 2.9669 0-7 3 3 2.9665 0-4 1 1 1.0666 6-6 6 6 6.0000 0-13 10 10 3.2500
length 0-7 3 3 2.9662 0-7 3 3 2.9674 0-4 1 1 1.0664 6-6 6 6 6.0000 0-13 10 10 3.2500
quality 0-120 0 5 18.2508 0-120 0 5 18.2416 7-127 123 94 87.9156 0-64 0 0 2.5920 0-127 0 20 31.7500
quality 0-127 0 47 50.7822 0-127 0 47 50.7919 0-120 0 5 18.2465 0-64 0 0 7.1794 0-127 0 20 31.7500
quality 0-127 0 17 28.9944 0-127 0 17 28.9672 0-120 0 0 10.4222 0-126 42 56 58.6162 0-127 0 20 31.7500
quality 0-127 0 17 28.9917 0-127 0 17 28.9946 0-120 0 0 10.4190 0-126 28 56 58.5947 0-127 0 20 31.7500
x-cards 0-60 0 2 9.0456 0-60 0 2 9.0500 3-63 47 47 43.6191 0-32 0 0 1.2853 0-63 0 10 15.7500
x-cards 0-63 0 23 25.1936 0-63 0 23 25.2001 0-60 0 2 9.0489 0-32 0 0 3.5574 0-63 0 10 15.7500
x-cards 0-63 0 8 14.3765 0-63 0 8 14.3704 0-60 0 0 5.1695 0-63 50 28 29.0836 0-63 0 10 15.7500
x-cards 0-63 0 8 14.3667 0-63 0 8 14.3804 0-60 0 0 5.1688 0-63 37 28 29.0841 0-63 0 10 15.7500
half-tricks 0-8 0 0 0.7309 0-8 0 0 0.7302 14-18 18 17 16.9745 0-2 0 0 0.0612 0-26 0 2 2.6843
half-tricks 0-24 6 7 6.8627 0-24 6 7 6.8640 0-8 0 0 0.7306 0-2 0 0 0.1695 0-26 0 2 2.6843
half-tricks 0-14 0 2 2.0708 0-14 0 2 2.0687 0-8 0 0 0.3232 6-12 8 9 8.8265 0-26 0 2 2.6843
half-tricks 0-14 0 2 2.0699 0-14 0 2 2.0713 0-8 0 0 0.3231 6-12 8 9 8.8254 0-26 0 2 2.6843
control 0-7 3 3 2.5881 0-7 3 3 2.5895 0-7 7 5 4.8456 3-7 7 7 6.0207 0-7 1 2 2.2354
control 0-7 0 3 2.8206 0-7 0 3 2.8212 0-7 3 3 2.5902 3-7 3 3 4.2870 0-7 1 2 2.2354
control 0-7 1 1 2.1271 0-7 1 1 2.1249 0-7 3 3 3.8770 0-7 4 3 3.2307 0-7 1 2 2.2354
control 0-7 1 1 2.1269 0-7 1 1 2.1265 0-7 3 3 3.8778 0-7 2 3 3.2296 0-7 1 2 2.2354
guard 0-2 0 0 0.6887 0-2 0 0 0.6881 2-2 2 2 2.0000 0-2 0 0 0.0612 0-2 2 2 1.2938
guard 0-2 2 2 1.8467 0-2 2 2 1.8466 0-2 0 0 0.6882 0-2 0 0 0.1695 0-2 2 2 1.2938
guard 0-2 2 2 1.2002 0-2 2 2 1.2000 0-2 0 0 0.3345 2-2 2 2 2.0000 0-2 2 2 1.2938
guard 0-2 2 2 1.2001 0-2 2 2 1.2010 0-2 0 0 0.3343 2-2 2 2 2.0000 0-2 2 2 1.2938

Statistic	North	South	West	East	Theoretical
length	0-4 2 2 1.8680	0-4 2 2 1.8668	9-9 9 9 9.0000	0-1 0 0 0.2652	0-13 10 10 3.2500
length	0-12 5 5 5.1989	0-12 5 5 5.1993	0-4 2 2 1.8670	0-1 1 1 0.7348	0-13 10 10 3.2500
length	0-7 3 3 2.9669	0-7 3 3 2.9665	0-4 1 1 1.0666	6-6 6 6 6.0000	0-13 10 10 3.2500
length	0-7 3 3 2.9662	0-7 3 3 2.9674	0-4 1 1 1.0664	6-6 6 6 6.0000	0-13 10 10 3.2500
quality	0-120 0 5 18.2508	0-120 0 5 18.2416	7-127 123 94 87.9156	0-64 0 0 2.5920	0-127 0 20 31.7500
quality	0-127 0 47 50.7822	0-127 0 47 50.7919	0-120 0 5 18.2465	0-64 0 0 7.1794	0-127 0 20 31.7500
quality	0-127 0 17 28.9944	0-127 0 17 28.9672	0-120 0 0 10.4222	0-126 42 56 58.6162	0-127 0 20 31.7500
quality	0-127 0 17 28.9917	0-127 0 17 28.9946	0-120 0 0 10.4190	0-126 28 56 58.5947	0-127 0 20 31.7500
x-cards	0-60 0 2 9.0456	0-60 0 2 9.0500	3-63 47 47 43.6191	0-32 0 0 1.2853	0-63 0 10 15.7500
x-cards	0-63 0 23 25.1936	0-63 0 23 25.2001	0-60 0 2 9.0489	0-32 0 0 3.5574	0-63 0 10 15.7500
x-cards	0-63 0 8 14.3765	0-63 0 8 14.3704	0-60 0 0 5.1695	0-63 50 28 29.0836	0-63 0 10 15.7500
x-cards	0-63 0 8 14.3667	0-63 0 8 14.3804	0-60 0 0 5.1688	0-63 37 28 29.0841	0-63 0 10 15.7500
half-tricks	0-8 0 0 0.7309	0-8 0 0 0.7302	14-18 18 17 16.9745	0-2 0 0 0.0612	0-26 0 2 2.6843
half-tricks	0-24 6 7 6.8627	0-24 6 7 6.8640	0-8 0 0 0.7306	0-2 0 0 0.1695	0-26 0 2 2.6843
half-tricks	0-14 0 2 2.0708	0-14 0 2 2.0687	0-8 0 0 0.3232	6-12 8 9 8.8265	0-26 0 2 2.6843
half-tricks	0-14 0 2 2.0699	0-14 0 2 2.0713	0-8 0 0 0.3231	6-12 8 9 8.8254	0-26 0 2 2.6843
control	0-7 3 3 2.5881	0-7 3 3 2.5895	0-7 7 5 4.8456	3-7 7 7 6.0207	0-7 1 2 2.2354
control	0-7 0 3 2.8206	0-7 0 3 2.8212	0-7 3 3 2.5902	3-7 3 3 4.2870	0-7 1 2 2.2354
control	0-7 1 1 2.1271	0-7 1 1 2.1249	0-7 3 3 3.8770	0-7 4 3 3.2307	0-7 1 2 2.2354
control	0-7 1 1 2.1269	0-7 1 1 2.1265	0-7 3 3 3.8778	0-7 2 3 3.2296	0-7 1 2 2.2354
guard	0-2 0 0 0.6887	0-2 0 0 0.6881	2-2 2 2 2.0000	0-2 0 0 0.0612	0-2 2 2 1.2938
guard	0-2 2 2 1.8467	0-2 2 2 1.8466	0-2 0 0 0.6882	0-2 0 0 0.1695	0-2 2 2 1.2938
guard	0-2 2 2 1.2002	0-2 2 2 1.2000	0-2 0 0 0.3345	2-2 2 2 2.0000	0-2 2 2 1.2938
guard	0-2 2 2 1.2001	0-2 2 2 1.2010	0-2 0 0 0.3343	2-2 2 2 2.0000	0-2 2 2 1.2938

Quality: A=64, K=32, Q=16, J=8, 10=4, 9=2, 8=1
X-cards: 7=32, 6=16, 5=8, 4=4, 3=2, 2=1
Control: 1st round=4, 2nd=2, 3rd=1
Guard: stopper=2, half stopper=1

Stats 8H13 Main Top Nine Spades opp. 6-6 Minors

Generic Patterns

Pattern North South West East Theoretical
4432 11.9405 11.9482 0 0 21.5512
5332 12.3883 12.3756 0 0 15.5168
5431 11.1198 11.1223 0 0 12.9307
5422 9.1374 9.1336 0 0 10.5797
4333 4.7932 4.7775 0 0 10.5361
6322 9.4724 9.4666 0 0 5.6425
6421 7.5709 7.5802 0 0 4.7021
6331 5.6310 5.6293 0 0 3.4482
5521 3.3019 3.2973 0 0 3.1739
4441 1.9531 1.9627 0 0 2.9932
7321 6.9017 6.9350 0 0 1.8808
6430 1.9387 1.9337 0 0 1.3262
5440 1.0440 1.0459 0 0 1.2433
5530 0.8531 0.8519 0 0 0.8952
6511 1.0464 1.0429 0 0 0.7053
6520 0.9001 0.9040 0 0 0.6511
7222 1.9641 1.9580 0 0 0.5130
7411 1.3025 1.3000 0 0 0.3918
7420 1.1256 1.1277 0 0 0.3617
7330 0.8778 0.8704 0 0 0.2652
8221 1.6144 1.6072 0 0 0.1924
8311 0.9328 0.9384 0 0 0.1176
7510 0.2659 0.2691 0 0 0.1085
8320 0.8132 0.8131 0 0 0.1085
6610 0.0949 0.0937 0 100.0000 0.0723
8410 0.3000 0.3023 0 0 0.0452
9211 0.3196 0.3196 44.7934 0 0.0178
9310 0.1622 0.1616 29.8492 0 0.0100
9220 0.1392 0.1371 21.3969 0 0.0082
7600 0.0083 0.0084 0 0 0.0056
8500 0.0153 0.0149 0 0 0.0031
A210 0.0374 0.0385 0 0 0.0011
9400 0.0127 0.0123 3.9605 0 0.0010
A111 0.0146 0.0139 0 0 0.0004
A300 0.0045 0.0050 0 0 0.0002
B110 0.0017 0.0015 0 0 0.0000
B200 0.0007 0.0007 0 0 0.0000
C100 0.0001 0.0000 0 0 0.0000
D000 0 0 0 0 0.0000

Pattern	North	South	West	East	Theoretical
4432	11.9405	11.9482	0	0	21.5512
5332	12.3883	12.3756	0	0	15.5168
5431	11.1198	11.1223	0	0	12.9307
5422	9.1374	9.1336	0	0	10.5797
4333	4.7932	4.7775	0	0	10.5361
6322	9.4724	9.4666	0	0	5.6425
6421	7.5709	7.5802	0	0	4.7021
6331	5.6310	5.6293	0	0	3.4482
5521	3.3019	3.2973	0	0	3.1739
4441	1.9531	1.9627	0	0	2.9932
7321	6.9017	6.9350	0	0	1.8808
6430	1.9387	1.9337	0	0	1.3262
5440	1.0440	1.0459	0	0	1.2433
5530	0.8531	0.8519	0	0	0.8952
6511	1.0464	1.0429	0	0	0.7053
6520	0.9001	0.9040	0	0	0.6511
7222	1.9641	1.9580	0	0	0.5130
7411	1.3025	1.3000	0	0	0.3918
7420	1.1256	1.1277	0	0	0.3617
7330	0.8778	0.8704	0	0	0.2652
8221	1.6144	1.6072	0	0	0.1924
8311	0.9328	0.9384	0	0	0.1176
7510	0.2659	0.2691	0	0	0.1085
8320	0.8132	0.8131	0	0	0.1085
6610	0.0949	0.0937	0	100.0000	0.0723
8410	0.3000	0.3023	0	0	0.0452
9211	0.3196	0.3196	44.7934	0	0.0178
9310	0.1622	0.1616	29.8492	0	0.0100
9220	0.1392	0.1371	21.3969	0	0.0082
7600	0.0083	0.0084	0	0	0.0056
8500	0.0153	0.0149	0	0	0.0031
A210	0.0374	0.0385	0	0	0.0011
9400	0.0127	0.0123	3.9605	0	0.0010
A111	0.0146	0.0139	0	0	0.0004
A300	0.0045	0.0050	0	0	0.0002
B110	0.0017	0.0015	0	0	0.0000
B200	0.0007	0.0007	0	0	0.0000
C100	0.0001	0.0000	0	0	0.0000
D000	0	0	0	0	0.0000

Pattern occurrence is shown by percent in order of theoretical frequency.

Stats 8H13 Main Top Nine Spades opp. 6-6 Minors

Cards

Card North South West East Theoretical
A 14.3723 14.3711 69.2141 2.0426 25.0000
A 39.9809 39.9926 14.3767 5.6498 25.0000
A 22.8472 22.8023 8.2070 46.1435 25.0000
A 22.8379 22.8305 8.2089 46.1227 25.0000
K 14.3730 14.3535 69.2366 2.0369 25.0000
K 39.9983 39.9954 14.3542 5.6521 25.0000
K 22.8122 22.8139 8.2026 46.1713 25.0000
K 22.8098 22.8351 8.1971 46.1580 25.0000
Q 14.3587 14.3613 69.2353 2.0448 25.0000
Q 39.9710 39.9929 14.3681 5.6680 25.0000
Q 22.8079 22.8139 8.2232 46.1550 25.0000
Q 22.8265 22.8236 8.2003 46.1495 25.0000
J 14.3607 14.3547 69.2444 2.0403 25.0000
J 39.9870 40.0030 14.3538 5.6562 25.0000
J 22.8191 22.8166 8.1950 46.1693 25.0000
J 22.8318 22.8372 8.2015 46.1294 25.0000
10 14.3889 14.3540 69.2229 2.0341 25.0000
10 40.0175 39.9809 14.3529 5.6487 25.0000
10 22.8176 22.8326 8.1872 46.1626 25.0000
10 22.8203 22.8131 8.2041 46.1624 25.0000
9 14.3883 14.3495 69.2274 2.0348 25.0000
9 39.9974 39.9944 14.3606 5.6477 25.0000
9 22.8176 22.8203 8.2037 46.1584 25.0000
9 22.8233 22.8156 8.1905 46.1705 25.0000
8 14.3688 14.3655 69.2198 2.0460 25.0000
8 40.0013 39.9852 14.3567 5.6567 25.0000
8 22.8424 22.8083 8.1984 46.1509 25.0000
8 22.8257 22.8230 8.2016 46.1497 25.0000
7 14.3537 14.3635 69.2502 2.0327 25.0000
7 39.9909 39.9989 14.3650 5.6453 25.0000
7 22.8233 22.7921 8.2079 46.1766 25.0000
7 22.8009 22.8254 8.1971 46.1767 25.0000
6 14.3610 14.3731 69.2127 2.0532 25.0000
6 39.9832 40.0105 14.3623 5.6440 25.0000
6 22.8090 22.8302 8.2051 46.1556 25.0000
6 22.8079 22.8179 8.2244 46.1498 25.0000
5 14.3616 14.3618 69.2287 2.0479 25.0000
5 39.9962 39.9929 14.3583 5.6526 25.0000
5 22.8213 22.8196 8.1940 46.1651 25.0000
5 22.8119 22.8485 8.1899 46.1497 25.0000
4 14.3565 14.3599 69.2506 2.0331 25.0000
4 40.0042 39.9797 14.3668 5.6493 25.0000
4 22.8242 22.8476 8.2038 46.1244 25.0000
4 22.7914 22.8224 8.2106 46.1756 25.0000
3 14.3876 14.3581 69.2171 2.0372 25.0000
3 39.9720 40.0066 14.3602 5.6612 25.0000
3 22.8406 22.8092 8.2202 46.1300 25.0000
3 22.8230 22.8146 8.2059 46.1565 25.0000
2 14.3691 14.3499 69.2403 2.0407 25.0000
2 39.9923 40.0002 14.3634 5.6440 25.0000
2 22.8092 22.8448 8.2089 46.1372 25.0000
2 22.8056 22.8328 8.2121 46.1496 25.0000

Card	North	South	West	East	Theoretical
A	14.3723	14.3711	69.2141	2.0426	25.0000
A	39.9809	39.9926	14.3767	5.6498	25.0000
A	22.8472	22.8023	8.2070	46.1435	25.0000
A	22.8379	22.8305	8.2089	46.1227	25.0000
K	14.3730	14.3535	69.2366	2.0369	25.0000
K	39.9983	39.9954	14.3542	5.6521	25.0000
K	22.8122	22.8139	8.2026	46.1713	25.0000
K	22.8098	22.8351	8.1971	46.1580	25.0000
Q	14.3587	14.3613	69.2353	2.0448	25.0000
Q	39.9710	39.9929	14.3681	5.6680	25.0000
Q	22.8079	22.8139	8.2232	46.1550	25.0000
Q	22.8265	22.8236	8.2003	46.1495	25.0000
J	14.3607	14.3547	69.2444	2.0403	25.0000
J	39.9870	40.0030	14.3538	5.6562	25.0000
J	22.8191	22.8166	8.1950	46.1693	25.0000
J	22.8318	22.8372	8.2015	46.1294	25.0000
10	14.3889	14.3540	69.2229	2.0341	25.0000
10	40.0175	39.9809	14.3529	5.6487	25.0000
10	22.8176	22.8326	8.1872	46.1626	25.0000
10	22.8203	22.8131	8.2041	46.1624	25.0000
9	14.3883	14.3495	69.2274	2.0348	25.0000
9	39.9974	39.9944	14.3606	5.6477	25.0000
9	22.8176	22.8203	8.2037	46.1584	25.0000
9	22.8233	22.8156	8.1905	46.1705	25.0000
8	14.3688	14.3655	69.2198	2.0460	25.0000
8	40.0013	39.9852	14.3567	5.6567	25.0000
8	22.8424	22.8083	8.1984	46.1509	25.0000
8	22.8257	22.8230	8.2016	46.1497	25.0000
7	14.3537	14.3635	69.2502	2.0327	25.0000
7	39.9909	39.9989	14.3650	5.6453	25.0000
7	22.8233	22.7921	8.2079	46.1766	25.0000
7	22.8009	22.8254	8.1971	46.1767	25.0000
6	14.3610	14.3731	69.2127	2.0532	25.0000
6	39.9832	40.0105	14.3623	5.6440	25.0000
6	22.8090	22.8302	8.2051	46.1556	25.0000
6	22.8079	22.8179	8.2244	46.1498	25.0000
5	14.3616	14.3618	69.2287	2.0479	25.0000
5	39.9962	39.9929	14.3583	5.6526	25.0000
5	22.8213	22.8196	8.1940	46.1651	25.0000
5	22.8119	22.8485	8.1899	46.1497	25.0000
4	14.3565	14.3599	69.2506	2.0331	25.0000
4	40.0042	39.9797	14.3668	5.6493	25.0000
4	22.8242	22.8476	8.2038	46.1244	25.0000
4	22.7914	22.8224	8.2106	46.1756	25.0000
3	14.3876	14.3581	69.2171	2.0372	25.0000
3	39.9720	40.0066	14.3602	5.6612	25.0000
3	22.8406	22.8092	8.2202	46.1300	25.0000
3	22.8230	22.8146	8.2059	46.1565	25.0000
2	14.3691	14.3499	69.2403	2.0407	25.0000
2	39.9923	40.0002	14.3634	5.6440	25.0000
2	22.8092	22.8448	8.2089	46.1372	25.0000
2	22.8056	22.8328	8.2121	46.1496	25.0000

Card location is shown by percent.

Stats 8H13 Main Top Nine Spades opp. 6-6 Minors