Main     Simulation 8Z02 by Richard Pavlicek    

Slam: 5-3 Hearts or 4-4 Clubs

It is widely accepted that a 4-4 fit is more often superior to a 5-3 fit than vice versa, but the longterm difference narrows when only the 5-3 fit is a major. I was recently asked what the best contract was on the following North-South hands at IMPs. Slam is clearly a favorite, especially with the chance of bad breaks diminished by the enemy silence.

S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
Table

Both Vul
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7


West

Pass
Pass
Pass
Pass
Pass

North

1 S
3 H
4 NT
5 D2
?

East

Pass
Pass
Pass
Pass

South
1 H
2 C
4 D
5 C1
5 NT3
1. 0 or 3 key cards
2. do you have the HQ?
3. yes with no side king

Should North now bid 6 C or 6 H?

My initial reaction was that 6 C would be better because of the trump solidity, even though the 5-3 heart fit offers no critical discard in a club contract. But then I wondered; a 4-1 heart break would usually doom 6 C as well; and 6 H gains 2 IMPs every time both slams make. To find the answer I ran a simulation of 10,000 random layouts with East-West constrained to pass throughout.*

*West spades less than 5 or revalued points less than 10; diamonds less than 5 or revalued points less than 12; spades less than 6 or playing half-tricks less than 9; diamonds less than 6 or playing half-tricks less than 11; spades plus diamonds less than 10 or playing half-tricks less than 11; spade playing half-tricks less than 8; East diamonds less than 5 or revalued points less than 12; diamonds less than 6 or playing half-tricks less than 11.

So much for initial reactions. As the following table shows, 6 C is the better contract only at total-point scoring (considerably so with a gain of 680,540 points) which of course is practically nonexistent today. At matchpoints or board-a-match 6 H is a huge winner — almost 80 percent. At IMPs the advantage of 6 H is modest but certainly significant, gaining 1681 IMPs, or about 0.17 IMPs per deal.

Results for 10,000 Deals
ContractTrick AvgMake PctTPs WonMPs WonIMPs Won
6 C11.70474.521242130405113686
6 H11.63867.105615901594915367

While this simulation only pertains to a specific case, it clearly emphasizes the importance of major-suit advantage in current forms of scoring. Evidently it pays to bank the frequent 2-IMP gains and not worry about occasional setbacks.

Below are 100 of the 10,000 deals, including the first 10 and last 10, and in-between only deals with big swings (one slam makes, other fails). Analysis is based on double-dummy play. Running totals are shown after each deal.

Seed 98765432 10000 8
N:K9752.K74.8.KQJ3::4.AQ653.AJ2.AT87
#Ws[5~R[10d[5~R[12s[6~Y[9d[6~Y[11s+d[10~Y[11sy[8Ed[5~R[12d[6~Y[11
Contracts 6C 6H -- Result Avg Mk% TPs MPs IMPs

1.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J 10 8
H
D K Q 9 6 3
C 9 5 4 2
TableS A 6 3
H J 10 9 8 2
D 10 7 5 4
C 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = A 10.000 0 0 1 0
6H = A 10.000 0 0 1 0


2.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 6 3
H 10 2
D Q 10 7 6 3
C 9 6 5
TableS A Q 10 8
H J 9 8
D K 9 5 4
C 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.000 50.00 0 1 0
6H = C 11.000 50.00 60 3 2


3.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 10 3
H J 9
D Q 10 9 7 6 5
C 9 2
TableS A J 8 6
H 10 8 2
D K 4 3
C 6 5 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.333 66.67 0 1 0
6H = C 11.333 66.67 120 5 4


4.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 10 8
H J 9 2
D K 9 6 5 4
C 6 5
TableS A J 6 3
H 10 8
D Q 10 7 3
C 9 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.500 75.00 0 1 0
6H = C 11.500 75.00 180 7 6


5.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 8
H J 8 2
D Q 10 6 4
C 9 6 4 2
TableS A J 10 6 3
H 10 9
D K 9 7 5 3
C 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.600 80.00 1470 3 16
6H = B 11.400 60.00 180 7 6


6.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 8 6 3
H J 10 9 2
D K 10 6
C 9 4
TableS A J 10
H 8
D Q 9 7 5 4 3
C 6 5 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.667 83.33 2940 5 32
6H = B 11.333 50.00 180 7 6


7.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A J 10 3
H J 8
D 6 4 3
C 9 6 5 4
TableS Q 8 6
H 10 9 2
D K Q 10 9 7 5
C 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.714 85.71 2940 5 32
6H = C 11.429 57.14 240 9 8


8.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 10 8 6
H J 10 9
D Q 10 6 5
C 4 2
TableS A J 3
H 8 2
D K 9 7 4 3
C 9 6 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.750 87.50 2940 5 32
6H = C 11.500 62.50 300 11 10


9.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J 6
H J 2
D 10 9 7 6 4
C 5 4 2
TableS A 10 8 3
H 10 9 8
D K Q 5 3
C 9 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.778 88.89 2940 5 32
6H = C 11.556 66.67 360 13 12


10.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 10 8
H 10 9 8 2
D K Q 10 3
C 6 2
TableS A Q 6 3
H J
D 9 7 6 5 4
C 9 5 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = B 11.700 80.00 2940 6 32
6H = B 11.500 60.00 360 14 12


TopMain

14.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 10 8 3
H 10
D K Q 7 6 4
C 9 4 2
TableS Q J 6
H J 9 8 2
D 10 9 5 3
C 6 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.571 71.43 4410 9 48
6H = B 11.429 50.00 520 19 17


20.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 10 8 6
H J
D K Q 6 5 4
C 9 6 2
TableS Q J 3
H 10 9 8 2
D 10 9 7 3
C 5 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.600 70.00 5880 13 64
6H = B 11.450 50.00 700 27 23


33.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 6
H 10 9 8
D K Q 10 7 5 3
C 9 5 4
TableS A Q J 10 8 3
H J 2
D 9 6 4
C 6 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.758 81.82 7350 15 80
6H = B 11.636 66.67 1420 51 47


42.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J 6
H 8 2
D Q 10 9 7
C 9 5 4 2
TableS A 10 8 3
H J 10 9
D K 6 5 4 3
C 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = B 11.714 76.19 7350 18 80
6H = C 11.643 66.67 3250 66 74


45.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 6
H J 9 8
D Q 10 7 4
C 9 6 5 2
TableS A J 10 8 3
H 10 2
D K 9 6 5 3
C 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.711 75.56 8820 21 96
6H = B 11.622 64.44 3310 69 76


47.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A J 10 6
H 8
D K 7 6 5 3
C 9 6 5
TableS Q 8 3
H J 10 9 2
D Q 10 9 4
C 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.723 76.60 10290 23 112
6H = B 11.617 63.83 3370 71 78


71.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 10 3
H J 9 8
D Q 10 7 6 4 3
C 2
TableS A J 8 6
H 10 2
D K 9 5
C 9 6 5 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.732 76.06 11860 32 131
6H = B 11.634 66.20 4390 110 112


88.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 10
H J 9
D Q 10 9 7 5 4 3
C 9 5 2
TableS A Q J 8 6 3
H 10 8 2
D K 6
C 6 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.750 78.41 13330 36 147
6H = B 11.659 69.32 5230 140 140


110.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 8
H 9 2
D K 10 7 6 5 4 3
C 9 4
TableS A Q 10 6 3
H J 10 8
D Q 9
C 6 5 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.773 80.00 14800 41 163
6H = B 11.691 71.82 6310 179 176


135.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 10 8 6 3
H 9 8 2
D K Q 9 6
C 5
TableS A J
H J 10
D 10 7 5 4 3
C 9 6 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.748 77.78 16370 51 182
6H = B 11.674 70.37 7370 219 211


TopMain

145.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 8
H 9 8 2
D 9 6 5 4 3
C 6 5 4 2
TableS A Q J 10 6 3
H J 10
D K Q 10 7
C 9
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.752 78.62 17940 55 201
6H = B 11.669 71.03 7850 235 227


156.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J
H J 10 9
D K 7 5 4
C 9 6 5 4
TableS A 10 8 6 3
H 8 2
D Q 10 9 6 3
C 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.763 79.49 19410 58 217
6H = B 11.679 71.79 8390 254 245


170.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q
H J 9 8
D 10 9 6 4 3
C 9 5 4 2
TableS A J 10 8 6 3
H 10 2
D K Q 7 5
C 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.765 79.41 20880 63 233
6H = B 11.682 71.76 8990 277 265


171.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 8 3
H 10 9 8
D Q 9 7 5 4 3
C 5
TableS A J 10 6
H J 2
D K 10 6
C 9 6 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.766 79.53 22350 65 249
6H = B 11.678 71.35 8990 277 265


177.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 6
H J 2
D K Q 10 9 3
C 9 5 4 2
TableS Q J 10 8 3
H 10 9 8
D 7 6 5 4
C 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.768 79.66 23820 68 265
6H = B 11.678 71.19 9230 286 273


178.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A J
H 10 9 2
D K 10 5 3
C 9 5 4 2
TableS Q 10 8 6 3
H J 8
D Q 9 7 6 4
C 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.770 79.78 25290 70 281
6H = B 11.674 70.79 9230 286 273


188.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A Q J 10
H J
D 10 9 6 5 3
C 6 4 2
TableS 8 6 3
H 10 9 8 2
D K Q 7 4
C 9 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.761 79.26 26760 74 297
6H = B 11.670 70.21 9690 302 288


214.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 6 3
H J 10 2
D K 9 6 5 4 3
C 2
TableS A Q 10 8
H 9 8
D Q 10 7
C 9 6 5 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.752 78.50 28230 83 313
6H = B 11.668 70.09 10770 345 324


217.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 6
H 9 8
D 9 7 5 4 3
C 9 6 5 4
TableS Q J 10 8 3
H J 10 2
D K Q 10 6
C 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.756 78.80 29700 85 329
6H = B 11.668 70.05 10890 349 328


240.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 10 8 3
H 2
D 9 7 6 5 3
C 6 5 2
TableS Q J 6
H J 10 9 8
D K Q 10 4
C 9 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.758 79.17 31170 90 345
6H = B 11.679 70.83 12070 390 367


TopMain

243.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 6 3
H 8
D 9 7 6 5 3
C 9 6 5 4
TableS Q J 10 8
H J 10 9 2
D K Q 10 4
C 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.757 79.01 32640 93 361
6H = B 11.675 70.37 12130 393 369


259.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J 10
H 10 9 8 2
D 7 5 4 3
C 9 5
TableS A 8 6 3
H J
D K Q 10 9 6
C 6 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.764 79.54 34110 97 377
6H = B 11.683 71.04 12910 421 395


266.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 10 8 6 3
H J 2
D Q 9 6 4 3
C 5
TableS A Q
H 10 9 8
D K 10 7 5
C 9 6 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.771 80.08 35580 99 393
6H = B 11.688 71.43 13270 433 407


273.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 6
H J 9 8
D K 7 6 5 4 3
C 9 6 4
TableS A Q J 10 8 3
H 10 2
D Q 10 9
C 5 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.762 79.49 37050 104 409
6H = B 11.678 70.70 13450 442 413


275.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 6
H 10 9 8
D K Q 10 5 3
C 6 5 4 2
TableS A Q J 10 8 3
H J 2
D 9 7 6 4
C 9
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.764 79.64 38520 106 425
6H = B 11.676 70.55 13510 444 415


284.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J 8 6 3
H 9 8 2
D K 10 9 4
C 2
TableS A 10
H J 10
D Q 7 6 5 3
C 9 6 5 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.768 79.93 39990 109 441
6H = B 11.680 70.77 13930 459 429


292.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 10 8 6 3
H 9 8 2
D K 6 4 3
C 9
TableS A J
H J 10
D Q 10 9 7 5
C 6 5 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.764 79.79 41460 113 457
6H = B 11.675 70.55 14230 471 439


303.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 3
H 9 2
D K 10 9 7 5
C 9 6 5 4
TableS Q J 10 8 6
H J 10 8
D Q 6 4 3
C 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.769 80.20 42930 116 473
6H = B 11.680 70.96 14770 490 457


313.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 3
H J 10 9
D K Q 9 6 5 4
C 5 4 2
TableS A Q J 10 8 6
H 8 2
D 10 7 3
C 9 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.767 79.87 44400 121 489
6H = B 11.677 70.61 15130 505 469


328.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 8 6 3
H 9
D K Q 9 7 6
C 9 6 5
TableS Q J 10
H J 10 8 2
D 10 5 4 3
C 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.762 79.27 45870 128 505
6H = B 11.674 70.12 15670 528 487


TopMain

343.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 8 6 3
H J 8 2
D K Q 7 5 4 3
C 5
TableS A Q J 10
H 10 9
D 10 9 6
C 9 6 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.761 79.59 47340 132 521
6H = B 11.673 70.55 16390 554 511


356.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A Q J 3
H 10
D Q 10 9 7 6
C 9 6 2
TableS 10 8 6
H J 9 8 2
D K 5 4 3
C 5 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.770 80.34 48810 134 537
6H = B 11.683 71.35 17110 578 535


357.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A Q
H 9 2
D 10 7 5 4 3
C 9 6 5 4
TableS J 10 8 6 3
H J 10 8
D K Q 9 6
C 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.770 80.39 50280 136 553
6H = B 11.681 71.15 17110 578 535


363.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 10 6
H 9
D Q 10 7 5 4 3
C 9 4 2
TableS Q J 8 3
H J 10 8 2
D K 9 6
C 6 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.771 80.44 51750 139 569
6H = B 11.680 71.07 17350 587 543


373.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J 10 6 3
H J 8 2
D 10 9 5 3
C 6
TableS A 8
H 10 9
D K Q 7 6 4
C 9 5 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.769 80.16 53220 144 585
6H = B 11.678 70.78 17710 602 555


405.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 3
H 10 9
D Q 10 9 5 3
C 9 6 5 2
TableS Q J 10 8 6
H J 8 2
D K 7 6 4
C 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.765 79.51 54790 156 604
6H = B 11.677 70.62 19030 654 599


426.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A J 6 3
H 10
D Q 10 7 6 5
C 9 6 5
TableS Q 10 8
H J 9 8 2
D K 9 4 3
C 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.763 79.11 56260 164 620
6H = B 11.676 70.42 19870 688 627


435.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 8 3
H 9
D Q 10 9 7 6 5
C 9 5 4
TableS Q J 10 6
H J 10 8 2
D K 4 3
C 6 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.759 78.85 57730 168 636
6H = B 11.674 70.11 20270 702 640


472.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J 10 8 6
H 10 9 2
D 7 5 4 3
C 4
TableS A 3
H J 8
D K Q 10 9 6
C 9 6 5 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.754 78.60 59400 180 658
6H = B 11.672 70.34 21990 764 697


473.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 8 3
H 10 9 8
D Q 10 9 5 4 3
C 4
TableS A Q 10 6
H J 2
D K 7 6
C 9 6 5 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.755 78.65 60870 182 674
6H = B 11.670 70.19 21990 764 697


TopMain

480.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 10 6 3
H J
D K Q 10 4 3
C 6 5 2
TableS Q J 8
H 10 9 8 2
D 9 7 6 5
C 9 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.758 78.96 62340 184 690
6H = B 11.673 70.42 22350 776 709


504.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 8
H J 9 8
D Q 6 5 4
C 6 5 4 2
TableS Q J 10 6 3
H 10 2
D K 10 9 7 3
C 9
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.752 78.57 63910 193 709
6H = B 11.669 70.24 23410 815 744


517.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 10 8 6 3
H 9
D 10 9 7 6
C 9 6 2
TableS Q J
H J 10 8 2
D K Q 5 4 3
C 5 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.752 78.53 65380 198 725
6H = B 11.669 70.21 23950 836 762


541.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 8 6
H 10 9
D K 10 9 7 6 5 3
C 4 2
TableS A Q J 10 3
H J 8 2
D Q 4
C 9 6 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.743 77.45 66850 211 741
6H = B 11.662 69.32 24670 871 786


544.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J
H 10 2
D K 10 9 7 6 5 4
C 9 6 5
TableS A Q 10 8 6 3
H J 9 8
D Q 3
C 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.743 77.39 68320 214 757
6H = B 11.660 69.12 24730 874 788


552.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 8 3
H 10 9 2
D Q 10 9 7 6 3
C 4
TableS A Q 10 6
H J 8
D K 5 4
C 9 6 5 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.743 77.54 69790 216 773
6H = B 11.661 69.20 25190 888 803


553.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 8 3
H 8
D 10 9 7 5 4
C 9 5 4 2
TableS Q J 10 6
H J 10 9 2
D K Q 6 3
C 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.743 77.58 71260 218 789
6H = B 11.660 69.08 25190 888 803


554.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 6
H J 10 2
D K 10 9 6 4 3
C 9 6 5
TableS A Q J 10 8 3
H 9 8
D Q 7 5
C 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.744 77.62 72730 220 805
6H = B 11.659 68.95 25190 888 803


570.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 6
H 8 2
D Q 10 7 6 3
C 9 6 4 2
TableS Q J 10 8 3
H J 10 9
D K 9 5 4
C 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.739 77.19 74200 228 821
6H = B 11.654 68.60 25730 912 821


572.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 8
H J 9 2
D K 10 6 5
C 9 6 4 2
TableS A Q 10 6 3
H 10 8
D Q 9 7 4 3
C 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.740 77.27 75670 230 837
6H = B 11.654 68.53 25790 914 823


TopMain

575.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 8
H 9 2
D 10 9 6 5 4 3
C 6 5 4 2
TableS A Q J 10 6 3
H J 10 8
D K Q 7
C 9
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.741 77.39 77140 232 853
6H = B 11.654 68.52 25910 918 827


585.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A
H J 8 2
D Q 7 6 5 4
C 9 6 5 4
TableS Q J 10 8 6 3
H 10 9
D K 10 9 3
C 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.744 77.61 78610 235 869
6H = B 11.656 68.72 26390 935 843


591.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 8 3
H 8
D K 10 7 6 5 3
C 9 5 4
TableS Q J 10 6
H J 10 9 2
D Q 9 4
C 6 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.743 77.50 80080 239 885
6H = B 11.655 68.53 26570 943 849


600.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 8 3
H 8 2
D K 10 6 4
C 9 5 4 2
TableS A Q 10 6
H J 10 9
D Q 9 7 5 3
C 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = B 11.742 77.50 80080 240 885
6H = C 11.657 68.83 28520 960 880


616.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A Q
H J 8
D 9 7 6 4 3
C 9 6 4 2
TableS J 10 8 6 3
H 10 9 2
D K Q 10 5
C 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.745 77.76 81550 244 901
6H = B 11.661 69.16 29300 988 906


643.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 8 6 3
H J 10 9 2
D K 6 3
C 6 5
TableS A J 10
H 8
D Q 10 9 7 5 4
C 9 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.748 77.92 83020 251 917
6H = B 11.666 69.52 30560 1035 948


648.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 8 6
H 10 9
D Q 10 9 6 5 4 3
C 6 5
TableS A Q J 10 3
H J 8 2
D K 7
C 9 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.747 77.78 84490 255 933
6H = B 11.664 69.29 30680 1041 952


649.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 6 3
H J 9 2
D Q 10 7 6 4 3
C 5
TableS A Q 10 8
H 10 8
D K 9 5
C 9 6 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.747 77.81 85960 257 949
6H = B 11.663 69.18 30680 1041 952


660.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 6
H 10 8 2
D Q 10 9 7 6 5 4
C 6 4
TableS A Q J 10 8 3
H J 9
D K 3
C 9 5 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.745 77.73 87430 262 965
6H = B 11.661 69.09 31100 1058 966


681.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 10 8 6
H 10
D 10 9 5 4 3
C 9 6 4
TableS Q J 3
H J 9 8 2
D K Q 7 6
C 5 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.744 77.83 88900 268 981
6H = B 11.661 69.31 32060 1094 998


TopMain

702.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 10 3
H J 9 2
D K Q 10 9 7 5
C 5
TableS A Q 8 6
H 10 8
D 6 4 3
C 9 6 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.745 77.78 90370 275 997
6H = B 11.662 69.37 32960 1129 1028


715.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 8 6 3
H J 9 8 2
D K 10 4
C 5 2
TableS A J 10
H 10
D Q 9 7 6 5 3
C 9 6 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.750 78.18 91840 277 1013
6H = B 11.667 69.79 33680 1153 1052


719.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A J 6 3
H J
D Q 10 6 4 3
C 9 6 2
TableS Q 10 8
H 10 9 8 2
D K 9 7 5
C 5 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.751 78.30 93310 279 1029
6H = B 11.668 69.82 33860 1159 1058


726.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A J 10 8
H 10
D Q 10 9 6 5
C 9 4 2
TableS Q 6 3
H J 9 8 2
D K 7 4 3
C 6 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.752 78.37 94780 282 1045
6H = B 11.668 69.83 34160 1170 1068


731.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 6
H 10 9 2
D K 10 9 7
C 9 6 4 2
TableS A Q 10 8 3
H J 8
D Q 6 5 4 3
C 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.754 78.52 96250 284 1061
6H = B 11.669 69.90 34400 1178 1076


738.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J
H J 9
D Q 10 7 6 5 4 3
C 6 2
TableS A 10 8 6 3
H 10 8 2
D K 9
C 9 5 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.753 78.59 97720 287 1077
6H = B 11.668 69.92 34700 1189 1086


746.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J
H 10 9 8
D K 10 6 5 4 3
C 6 4 2
TableS A Q 10 8 6 3
H J 2
D Q 9 7
C 9 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.753 78.55 99190 291 1093
6H = B 11.668 69.84 35000 1201 1096


755.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 8
H 10 8 2
D Q 7 6 5
C 9 6 5 4
TableS Q J 10 6 3
H J 9
D K 10 9 4 3
C 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.751 78.41 100660 295 1109
6H = B 11.666 69.67 35400 1215 1109


758.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 3
H J 10 8
D K 9 6 3
C 9 6 4 2
TableS A Q 10 8 6
H 9 2
D Q 10 7 5 4
C 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.749 78.36 102130 297 1125
6H = B 11.665 69.53 35560 1219 1114


778.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 10 8
H J 8
D Q 9 7 6 5 4 3
C 6 5
TableS A Q J 6 3
H 10 9 2
D K 10
C 9 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.747 78.02 103600 306 1141
6H = B 11.663 69.28 36280 1250 1138


TopMain

793.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A J 10 6 3
H J
D 7 6 5 4
C 9 4 2
TableS Q 8
H 10 9 8 2
D K Q 10 9 3
C 6 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.743 77.68 105070 314 1157
6H = B 11.660 68.98 36760 1272 1154


794.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 10 8 6 3
H 9 2
D Q 10 7 6 5
C 6
TableS A J
H J 10 8
D K 9 4 3
C 9 5 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.743 77.71 106540 316 1173
6H = B 11.659 68.89 36760 1272 1154


800.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q
H J 9 8
D K 9 7 4 3
C 9 6 5 4
TableS A J 10 8 6 3
H 10 2
D Q 10 6 5
C 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.744 77.75 108010 319 1189
6H = B 11.659 68.88 37000 1281 1162


802.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 6
H J 9 2
D Q 9 7 4
C 9 6 5 4
TableS Q J 10 8 3
H 10 8
D K 10 6 5 3
C 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.743 77.68 109480 322 1205
6H = B 11.657 68.70 37000 1282 1162


806.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A Q 8 3
H 2
D Q 10 7 6 4
C 6 5 4
TableS J 10 6
H J 10 9 8
D K 9 5 3
C 9 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.743 77.67 110950 325 1221
6H = B 11.656 68.61 37120 1287 1166


824.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 8
H J 2
D K Q 9 6 5
C 9 6 5 2
TableS Q J 10 6 3
H 10 9 8
D 10 7 4 3
C 4
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.744 77.79 112420 330 1237
6H = B 11.658 68.81 37960 1318 1194


879.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 8
H J 9
D Q 10 7 6 4
C 9 5 4 2
TableS Q J 10 6 3
H 10 8 2
D K 9 5 3
C 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.741 77.59 113890 344 1253
6H = B 11.661 69.06 40560 1414 1280


890.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 10 8
H J 2
D K 10 5 3
C 9 5 4 2
TableS A J 6 3
H 10 9 8
D Q 9 7 6 4
C 6
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = B 11.738 77.53 113890 345 1253
6H = C 11.662 69.21 42670 1435 1316


903.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 10 6
H J 8
D Q 10 9 7 5 4 3
C 5 4
TableS A Q J 8 3
H 10 9 2
D K 6
C 9 6 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.739 77.52 115360 350 1269
6H = B 11.662 69.21 43210 1456 1334


912.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A J 10
H 10
D Q 10 9 7 5 4
C 9 6 5
TableS Q 8 6 3
H J 9 8 2
D K 6 3
C 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.740 77.63 116830 353 1285
6H = B 11.663 69.30 43630 1471 1348


TopMain

9991.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 8 3
H J 10
D K 10 9 7 6 5 4
C 6 5
TableS A Q J 10 6
H 9 8 2
D Q 3
C 9 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.704 74.52 1242030 4048 13683
6H = B 11.638 67.09 561170 15934 15353


9992.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 6 3
H J 10 8
D 10 7 5 4
C 6 4 2
TableS Q J 10 8
H 9 2
D K Q 9 6 3
C 9 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.704 74.52 1242030 4048 13683
6H = C 11.638 67.09 561230 15936 15355


9993.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A Q 6 3
H 9 2
D Q 5 3
C 9 6 4 2
TableS J 10 8
H J 10 8
D K 10 9 7 6 4
C 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.704 74.52 1242030 4048 13683
6H = C 11.638 67.10 561290 15938 15357


9994.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J 10 3
H 10 9 2
D K 10 6 5 3
C 6
TableS A 8 6
H J 8
D Q 9 7 4
C 9 5 4 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.704 74.52 1242030 4048 13683
6H = C 11.638 67.10 561350 15940 15359


9995.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A Q 8 3
H J 10 8
D Q 9 7 6 3
C 4
TableS J 10 6
H 9 2
D K 10 5 4
C 9 6 5 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.704 74.53 1242030 4048 13683
6H = C 11.638 67.10 561410 15942 15361


9996.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S 6
H J 10 9 8
D 10 7 6 5 3
C 9 5 4
TableS A Q J 10 8 3
H 2
D K Q 9 4
C 6 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = B 11.704 74.52 1242030 4049 13683
6H = B 11.638 67.10 561410 15943 15361


9997.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q J 10
H J 9 2
D Q 7 6 4
C 9 5 4
TableS A 8 6 3
H 10 8
D K 10 9 5 3
C 6 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.704 74.52 1242030 4049 13683
6H = C 11.638 67.10 561470 15945 15363


9998.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S A 10 3
H 8 2
D K Q 6 4 3
C 6 4 2
TableS Q J 8 6
H J 10 9
D 10 9 7 5
C 9 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.704 74.52 1242030 4049 13683
6H = C 11.638 67.10 561530 15947 15365


9999.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S J 10 8
H J 10 8
D K 10 7 4 3
C 4 2
TableS A Q 6 3
H 9 2
D Q 9 6 5
C 9 6 5
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = C 11.704 74.53 1242030 4049 13683
6H = C 11.638 67.11 561590 15949 15367


10000.
S K 9 7 5 2
H K 7 4
D 8
C K Q J 3
S Q 6 3
H J 10 9 8 2
D Q 9 6 3
C 4
TableS A J 10 8
H
D K 10 7 5 4
C 9 6 5 2
S 4
H A Q 6 5 3
D A J 2
C A 10 8 7

6C = A 11.704 74.52 1242130 4051 13686
6H = 9 11.638 67.10 561590 15949 15367

TopMain

© 2012 Richard Pavlicek