Main Stats 8H16 by Richard Pavlicek
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.
Statistic | North | South | West | East | Theoretical |
---|---|---|---|---|---|
Hand freakness | 0-14 1 2 2.8490 | 0-14 1 2 2.8489 | 3-6 3 3 3.8077 | 0-20 1 3 2.9829 | |
Generic pattern | 0-34 1 2 3.9202 | 0-34 1 2 3.9207 | 4-11 4 4 5.8847 | 0-38 1 3 4.1404 | |
Controls A=2 K=1 | 0-9 2 2 2.3253 | 0-9 2 2 2.3245 | 0-6 3 3 3.3156 | 0-7 4 4 4.0346 | 0-12 3 3 3.0000 |
High-card points | 0-19 8 8 8.2478 | 0-19 8 8 8.2458 | 10-12 10 11 10.9104 | 11-15 11 12 12.5960 | 0-37 10 10 10.0000 |
Total points | 0-24 9 9 9.5403 | 0-24 9 9 9.5385 | 10-13 10 11 11.0089 | 11-19 14 15 14.6536 | 0-38 11 11 11.3682 |
Playing half-tricks | 2-24 10 9 9.5715 | 2-25 10 9 9.5704 | 6-11 8 8 8.0906 | 10-19 13 13 13.6545 | 2-26 10 11 10.7371 |
Quick half-tricks | 0-10 2 2 2.6693 | 0-10 2 2 2.6686 | 0-6 4 4 3.8462 | 0-8 5 5 4.9551 | 0-16 2 3 3.5563 |
Losing trick count | 1-12 8 8 8.1285 | 1-12 8 8 8.1291 | 7-10 9 9 8.7152 | 3-8 6 6 6.1040 | 0-12 8 8 7.5566 |
Long suit length | 4-10 5 5 4.9152 | 4-10 5 5 4.9152 | 4-4 4 4 4.0000 | 4-5 4 4 4.2692 | 4-13 5 5 4.9008 |
Short suit length | 0-3 2 2 1.7671 | 0-3 2 2 1.7669 | 3-3 3 3 3.0000 | 0-1 1 1 0.7308 | 0-3 2 2 1.6977 |
Suit controls | 0-26 7 7 7.3573 | 0-26 7 7 7.3558 | 3-12 7 8 7.7047 | 6-21 13 13 13.0569 | 0-28 9 9 8.9418 |
Suit guards | 0-8 4 5 4.7405 | 0-8 4 5 4.7394 | 2-8 6 6 6.0814 | 2-8 6 6 5.9004 | 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
Statistic | North | South | West | East | Theoretical |
---|---|---|---|---|---|
Voids | 0-2 0 0 0.0347 | 0-2 0 0 0.0348 | 0-1 0 0 0.2692 | 0-3 0 0 0.0512 | |
Singletons | 0-3 0 0 0.2904 | 0-3 0 0 0.2903 | 0-1 1 1 0.7308 | 0-3 0 0 0.3202 | |
Doubletons | 0-3 1 1 0.8643 | 0-3 1 1 0.8641 | 0-3 1 1 0.8235 | ||
Tripletons | 0-3 1 1 1.2125 | 0-3 1 1 1.2126 | 3-3 3 3 3.0000 | 0-3 1 1 1.1453 | |
4 card suits | 0-3 1 1 0.9251 | 0-3 1 1 0.9254 | 1-1 1 1 1.0000 | 2-3 3 3 2.7308 | 0-3 1 1 0.9544 |
5 card suits | 0-2 0 0 0.4539 | 0-2 0 0 0.4536 | 0-1 0 0 0.2692 | 0-2 0 0 0.4988 | |
6 card suits | 0-2 0 0 0.1679 | 0-2 0 0 0.1680 | 0-2 0 0 0.1663 | ||
7 card suits | 0-1 0 0 0.0443 | 0-1 0 0 0.0444 | 0-1 0 0 0.0353 | ||
8 card suits | 0-1 0 0 0.0065 | 0-1 0 0 0.0065 | 0-1 0 0 0.0047 | ||
9 card suits | 0-1 0 0 0.0004 | 0-1 0 0 0.0004 | 0-1 0 0 0.0004 | ||
10 card suits | 0-1 0 0 0.0000 | 0-1 0 0 0.0000 | 0-1 0 0 0.0000 | ||
11 card suits | 0-1 0 0 0.0000 | ||||
12 card suits | 0-1 0 0 0.0000 | ||||
13 card suits | 0-1 0 0 0.0000 |
Gray cell = nonexistent; 0.0000 = exists but nearest 10,000th rounds to zero.
Statistic | North | South | West | East | Theoretical |
---|---|---|---|---|---|
Aces | 0-4 1 1 0.7516 | 0-4 1 1 0.7510 | 0-3 1 1 1.1043 | 0-3 1 1 1.3931 | 0-4 1 1 1.0000 |
Kings | 0-4 1 1 0.8221 | 0-4 1 1 0.8225 | 0-4 1 1 1.1070 | 0-4 1 1 1.2484 | 0-4 1 1 1.0000 |
Queens | 0-4 1 1 0.8998 | 0-4 1 1 0.8994 | 0-4 1 1 1.0734 | 0-4 1 1 1.1274 | 0-4 1 1 1.0000 |
Jacks | 0-4 1 1 0.9754 | 0-4 1 1 0.9756 | 0-4 1 1 1.0253 | 0-4 1 1 1.0237 | 0-4 1 1 1.0000 |
Tens | 0-4 1 1 1.0613 | 0-4 1 1 1.0614 | 0-4 1 1 0.9655 | 0-4 1 1 0.9118 | 0-4 1 1 1.0000 |
Nines | 0-4 1 1 1.0612 | 0-4 1 1 1.0610 | 0-4 1 1 0.9656 | 0-4 1 1 0.9122 | 0-4 1 1 1.0000 |
Eights | 0-4 1 1 1.0614 | 0-4 1 1 1.0611 | 0-4 1 1 0.9661 | 0-4 1 1 0.9115 | 0-4 1 1 1.0000 |
Sevens | 0-4 1 1 1.0611 | 0-4 1 1 1.0612 | 0-4 1 1 0.9659 | 0-4 1 1 0.9118 | 0-4 1 1 1.0000 |
Sixes | 0-4 1 1 1.0608 | 0-4 1 1 1.0618 | 0-4 1 1 0.9652 | 0-4 1 1 0.9121 | 0-4 1 1 1.0000 |
Fives | 0-4 1 1 1.0612 | 0-4 1 1 1.0614 | 0-4 1 1 0.9657 | 0-4 1 1 0.9117 | 0-4 1 1 1.0000 |
Fours | 0-4 1 1 1.0617 | 0-4 1 1 1.0610 | 0-4 1 1 0.9651 | 0-4 1 1 0.9122 | 0-4 1 1 1.0000 |
Threes | 0-4 1 1 1.0609 | 0-4 1 1 1.0617 | 0-4 1 1 0.9654 | 0-4 1 1 0.9119 | 0-4 1 1 1.0000 |
Twos | 0-4 1 1 1.0615 | 0-4 1 1 1.0610 | 0-4 1 1 0.9653 | 0-4 1 1 0.9122 | 0-4 1 1 1.0000 |
Statistic | North | South | West | East | Theoretical |
---|---|---|---|---|---|
length | 0-10 3 3 3.2495 | 0-10 3 3 3.2498 | 3-4 3 3 3.2501 | 0-5 4 4 3.2506 | 0-13 10 10 3.2500 |
length | 0-10 3 3 3.2504 | 0-10 3 3 3.2500 | 3-4 3 3 3.2498 | 0-5 4 4 3.2499 | 0-13 10 10 3.2500 |
length | 0-10 3 3 3.2497 | 0-10 3 3 3.2499 | 3-4 3 3 3.2502 | 0-5 4 4 3.2502 | 0-13 10 10 3.2500 |
length | 0-10 3 3 3.2504 | 0-10 3 3 3.2503 | 3-4 3 3 3.2499 | 0-5 4 4 3.2493 | 0-13 10 10 3.2500 |
quality | 0-127 0 16 26.0138 | 0-127 0 16 25.9902 | 0-120 64 32 34.5617 | 0-124 0 35 40.4343 | 0-127 0 20 31.7500 |
quality | 0-127 0 16 26.0161 | 0-127 0 16 26.0021 | 0-120 64 32 34.5634 | 0-124 0 35 40.4184 | 0-127 0 20 31.7500 |
quality | 0-127 0 16 25.9877 | 0-127 0 16 26.0030 | 0-120 64 32 34.5610 | 0-124 0 35 40.4483 | 0-127 0 20 31.7500 |
quality | 0-127 0 16 26.0214 | 0-127 0 16 26.0118 | 0-120 64 32 34.5507 | 0-124 0 35 40.4161 | 0-127 0 20 31.7500 |
x-cards | 0-63 0 12 16.7148 | 0-63 0 12 16.7131 | 0-60 0 10 15.2061 | 0-62 0 8 14.3659 | 0-63 0 10 15.7500 |
x-cards | 0-63 0 12 16.7082 | 0-63 0 12 16.7173 | 0-60 0 10 15.2105 | 0-62 0 8 14.3639 | 0-63 0 10 15.7500 |
x-cards | 0-63 0 12 16.7103 | 0-63 0 12 16.7113 | 0-60 0 10 15.2121 | 0-62 0 8 14.3663 | 0-63 0 10 15.7500 |
x-cards | 0-63 0 12 16.7140 | 0-63 0 12 16.7239 | 0-60 0 10 15.2074 | 0-62 0 8 14.3546 | 0-63 0 10 15.7500 |
half-tricks | 0-20 0 2 2.3922 | 0-20 0 2 2.3916 | 0-8 2 2 2.0233 | 0-10 4 4 3.4144 | 0-26 0 2 2.6843 |
half-tricks | 0-20 0 2 2.3937 | 0-20 0 2 2.3926 | 0-8 2 2 2.0223 | 0-10 4 4 3.4129 | 0-26 0 2 2.6843 |
half-tricks | 0-20 0 2 2.3915 | 0-20 0 2 2.3928 | 0-8 2 2 2.0229 | 0-10 4 4 3.4145 | 0-26 0 2 2.6843 |
half-tricks | 0-20 0 2 2.3941 | 0-20 0 2 2.3933 | 0-8 2 2 2.0221 | 0-10 4 4 3.4127 | 0-26 0 2 2.6843 |
control | 0-7 1 1 1.8399 | 0-7 1 1 1.8381 | 0-7 0 2 1.9263 | 0-7 3 3 3.2642 | 0-7 1 2 2.2354 |
control | 0-7 1 1 1.8396 | 0-7 1 1 1.8390 | 0-7 0 2 1.9265 | 0-7 3 3 3.2638 | 0-7 1 2 2.2354 |
control | 0-7 1 1 1.8379 | 0-7 1 1 1.8393 | 0-7 0 2 1.9263 | 0-7 3 3 3.2649 | 0-7 1 2 2.2354 |
control | 0-7 1 1 1.8399 | 0-7 1 1 1.8394 | 0-7 0 2 1.9257 | 0-7 3 3 3.2640 | 0-7 1 2 2.2354 |
guard | 0-2 2 2 1.1850 | 0-2 2 2 1.1845 | 0-2 2 2 1.5206 | 0-2 2 2 1.4754 | 0-2 2 2 1.2938 |
guard | 0-2 2 2 1.1853 | 0-2 2 2 1.1850 | 0-2 2 2 1.5205 | 0-2 2 2 1.4750 | 0-2 2 2 1.2938 |
guard | 0-2 2 2 1.1848 | 0-2 2 2 1.1849 | 0-2 2 2 1.5203 | 0-2 2 2 1.4752 | 0-2 2 2 1.2938 |
guard | 0-2 2 2 1.1854 | 0-2 2 2 1.1850 | 0-2 2 2 1.5201 | 0-2 2 2 1.4748 | 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
Statistic | North | South | West | East | Theoretical |
---|---|---|---|---|---|
4-4-3-2 | 22.1021 | 22.1085 | 21.5512 | ||
5-3-3-2 | 16.8501 | 16.8533 | 15.5168 | ||
5-4-3-1 | 11.2106 | 11.2078 | 12.9307 | ||
5-4-2-2 | 10.2332 | 10.2357 | 10.5797 | ||
4-3-3-3 | 11.6001 | 11.5933 | 100.0000 | 10.5361 | |
6-3-2-2 | 6.9819 | 6.9789 | 5.6425 | ||
6-4-2-1 | 4.3366 | 4.3340 | 4.7021 | ||
6-3-3-1 | 3.7547 | 3.7566 | 3.4482 | ||
5-5-2-1 | 2.2611 | 2.2418 | 3.1739 | ||
4-4-4-1 | 2.5496 | 2.5554 | 73.0750 | 2.9932 | |
7-3-2-1 | 2.5766 | 2.5808 | 1.8808 | ||
6-4-3-0 | 0.9694 | 0.9770 | 1.3262 | ||
5-4-4-0 | 0.7787 | 0.7780 | 26.9250 | 1.2433 | |
5-5-3-0 | 0.5142 | 0.5165 | 0.8952 | ||
6-5-1-1 | 0.3864 | 0.3889 | 0.7053 | ||
6-5-2-0 | 0.3253 | 0.3251 | 0.6511 | ||
7-2-2-2 | 0.8083 | 0.8055 | 0.5130 | ||
7-4-1-1 | 0.3864 | 0.3876 | 0.3918 | ||
7-4-2-0 | 0.3224 | 0.3244 | 0.3617 | ||
7-3-3-0 | 0.2859 | 0.2886 | 0.2652 | ||
8-2-2-1 | 0.3075 | 0.3070 | 0.1924 | ||
8-3-1-1 | 0.1647 | 0.1643 | 0.1176 | ||
7-5-1-0 | 0.0503 | 0.0516 | 0.1085 | ||
8-3-2-0 | 0.1384 | 0.1362 | 0.1085 | ||
6-6-1-0 | 0.0170 | 0.0174 | 0.0723 | ||
8-4-1-0 | 0.0407 | 0.0401 | 0.0452 | ||
9-2-1-1 | 0.0239 | 0.0225 | 0.0178 | ||
9-3-1-0 | 0.0096 | 0.0102 | 0.0100 | ||
9-2-2-0 | 0.0101 | 0.0094 | 0.0082 | ||
7-6-0-0 | 0.0008 | 0.0007 | 0.0056 | ||
8-5-0-0 | 0.0016 | 0.0013 | 0.0031 | ||
10-2-1-0 | 0.0006 | 0.0005 | 0.0011 | ||
9-4-0-0 | 0.0006 | 0.0006 | 0.0010 | ||
10-1-1-1 | 0.0002 | 0.0002 | 0.0004 | ||
10-3-0-0 | 0.0001 | 0.0001 | 0.0002 | ||
11-1-1-0 | 0.0000 | ||||
11-2-0-0 | 0.0000 | ||||
12-1-0-0 | 0.0000 | ||||
13-0-0-0 | 0.0000 |
Pattern occurrence is shown by percent in order of theoretical frequency.
Statistic | North | South | West | East | Theoretical |
---|---|---|---|---|---|
A | 18.8094 | 18.7599 | 27.6033 | 34.8274 | 25.0000 |
A | 18.7942 | 18.7737 | 27.6140 | 34.8181 | 25.0000 |
A | 18.7531 | 18.7755 | 27.6137 | 34.8577 | 25.0000 |
A | 18.8033 | 18.7919 | 27.5985 | 34.8063 | 25.0000 |
K | 20.5270 | 20.5653 | 27.6872 | 31.2204 | 25.0000 |
K | 20.5636 | 20.5590 | 27.6782 | 31.1992 | 25.0000 |
K | 20.5590 | 20.5563 | 27.6717 | 31.2131 | 25.0000 |
K | 20.5607 | 20.5660 | 27.6673 | 31.2061 | 25.0000 |
Q | 22.4906 | 22.4698 | 26.8384 | 28.2011 | 25.0000 |
Q | 22.5007 | 22.4945 | 26.8355 | 28.1694 | 25.0000 |
Q | 22.4902 | 22.5027 | 26.8310 | 28.1762 | 25.0000 |
Q | 22.4985 | 22.4720 | 26.8380 | 28.1915 | 25.0000 |
J | 24.4044 | 24.3746 | 25.6475 | 25.5735 | 25.0000 |
J | 24.3708 | 24.3924 | 25.6328 | 25.6040 | 25.0000 |
J | 24.3833 | 24.3995 | 25.6235 | 25.5937 | 25.0000 |
J | 24.3862 | 24.3908 | 25.6250 | 25.5980 | 25.0000 |
10 | 26.5198 | 26.5390 | 24.1384 | 22.8027 | 25.0000 |
10 | 26.5472 | 26.5365 | 24.1248 | 22.7915 | 25.0000 |
10 | 26.5328 | 26.5352 | 24.1497 | 22.7823 | 25.0000 |
10 | 26.5294 | 26.5314 | 24.1383 | 22.8008 | 25.0000 |
9 | 26.5137 | 26.5481 | 24.1271 | 22.8111 | 25.0000 |
9 | 26.5265 | 26.5373 | 24.1375 | 22.7988 | 25.0000 |
9 | 26.5490 | 26.4771 | 24.1590 | 22.8149 | 25.0000 |
9 | 26.5314 | 26.5369 | 24.1396 | 22.7920 | 25.0000 |
8 | 26.5205 | 26.5270 | 24.1673 | 22.7852 | 25.0000 |
8 | 26.5270 | 26.5353 | 24.1364 | 22.8012 | 25.0000 |
8 | 26.5458 | 26.5287 | 24.1340 | 22.7914 | 25.0000 |
8 | 26.5439 | 26.5158 | 24.1683 | 22.7720 | 25.0000 |
7 | 26.5439 | 26.5208 | 24.1424 | 22.7928 | 25.0000 |
7 | 26.5116 | 26.5418 | 24.1460 | 22.8006 | 25.0000 |
7 | 26.5287 | 26.5058 | 24.1557 | 22.8098 | 25.0000 |
7 | 26.5233 | 26.5477 | 24.1494 | 22.7796 | 25.0000 |
6 | 26.5146 | 26.5446 | 24.1238 | 22.8170 | 25.0000 |
6 | 26.5199 | 26.5303 | 24.1476 | 22.8022 | 25.0000 |
6 | 26.5088 | 26.5515 | 24.1351 | 22.8046 | 25.0000 |
6 | 26.5414 | 26.5532 | 24.1182 | 22.7872 | 25.0000 |
5 | 26.5113 | 26.5235 | 24.1490 | 22.8162 | 25.0000 |
5 | 26.5411 | 26.5324 | 24.1386 | 22.7878 | 25.0000 |
5 | 26.5279 | 26.5466 | 24.1442 | 22.7814 | 25.0000 |
5 | 26.5360 | 26.5366 | 24.1418 | 22.7856 | 25.0000 |
4 | 26.5485 | 26.5301 | 24.1159 | 22.8054 | 25.0000 |
4 | 26.5460 | 26.5199 | 24.1287 | 22.8054 | 25.0000 |
4 | 26.5442 | 26.5267 | 24.1301 | 22.7989 | 25.0000 |
4 | 26.5336 | 26.5258 | 24.1308 | 22.8098 | 25.0000 |
3 | 26.5160 | 26.5407 | 24.1484 | 22.7949 | 25.0000 |
3 | 26.5330 | 26.5242 | 24.1360 | 22.8068 | 25.0000 |
3 | 26.5215 | 26.5560 | 24.1235 | 22.7991 | 25.0000 |
3 | 26.5208 | 26.5497 | 24.1359 | 22.7936 | 25.0000 |
2 | 26.5251 | 26.5403 | 24.1240 | 22.8106 | 25.0000 |
2 | 26.5570 | 26.5181 | 24.1235 | 22.8014 | 25.0000 |
2 | 26.5296 | 26.5248 | 24.1448 | 22.8007 | 25.0000 |
2 | 26.5341 | 26.5166 | 24.1406 | 22.8087 | 25.0000 |
Card location is shown by percent.
© 2013 Richard Pavlicek