Main     Simulation 8Z04 by Richard Pavlicek    

Which Four-Card Major?

Suppose your opponents reach 3 NT without showing any suits, and you are on lead with ace-fourth in one major and queen-fourth in the other. Which lead is better? This is extremely difficult if not impossible to answer because there are many factors involved: tempo, safety, entries, play analysis, etc. The only realistic way to find an answer is empirically from a representative case, as the West hand below.

None Vul
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
Table


West

Pass

North

3 NT

East

All Pass

South
1 NT

3 NT South

Should West lead the S 3 or the H 3?

Step right up, folks! Place your bets, as I am about to spin the wheel. My routine choice would be the H 3 at any form of scoring, but I've always had doubts, especially with recent lead tests showing ace-fourth to be slightly safer.

To determine the better lead I created 10,000 random deals with the West hand fixed, and North-South constrained to fit the bidding: South HCP 15-17; freakness less than 3 (balanced); with a 5-card major, doubleton must be J-x or better; North HCP 9-14 (max 14 revalued points); freakness less than 5; no 4-card major unless 4-3-3-3 shape.

Curiously, the answer depends on the form of scoring. At matchpoints the S 3 does better; but at total points or IMPs, the H 3 does better. Evidently the safety advantage of the S 3 prevents enough overtricks to build a matchpoint edge despite not defeating the contract as often. Maybe that's why I've never liked matchpoints.

Results for 10,000 Deals
LeadTrick AvgMake PctMatchpointsTotal PointsIMPs
S 39.92388.659688 48.44290700 50.986947 50.51
H 39.94888.2210312 51.56279550 49.026807 49.49

All numbers are relative to the declaring side, so the lowest number in each column is best for the defense. Trick Avg shows the average number of tricks won by declarer. Make Pct shows the percent of time the contract is made. The last three columns total the raw plus swings going to declarer and show the effective scoring percent of each lead. Raw matchpoints follow the European style of 2 for a win, 1 for a tie.

Below are 100 of the 10,000 deals, including the first 10 and last 10, and selected deals in-between where the lead made a significant difference. The number of tricks won by declarer is shown for each lead, assuming double-dummy play by both sides thereafter.

Seed A1B2C3D4 10000
W:A543.Q543.J3.K52
#SP15-17F[3s[5~g1[1h[5~g1[1NP9-14R[15F[5=0~s[4F=0~h[4
Vul Z Contract 3n Leads s3 h3

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

S 3 10
H 3 10
S K Q 7
H A K 10
D Q 10 6 4
C Q J 4


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

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


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

S 3 8
H 3 9
S 6 2
H A J 6
D A Q 7
C A J 7 6 4


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

S 3 9
H 3 10
S K Q
H A K J 6
D K 10 9 8
C J 9 8


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

S 3 9
H 3 9
S K Q 9 6
H A 6
D A Q 10 4
C 9 4 3


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

S 3 10
H 3 10
S K Q 6 2
H A J 2
D K 10 7 5
C Q 7


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

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


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

S 3 10
H 3 9
S K Q 8 2
H A K
D 10 9 7 2
C A 8 6


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

S 3 9
H 3 10
S Q J
H A J 7 2
D K 8 6
C A J 9 6


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

S 3 7
H 3 7
S K Q 9
H 10 2
D A 9 4
C A Q 10 9 4


TopMain

11.
S K 7
H 8 7 6
D K 9 7 4
C A 8 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10 6 2
H J 2
D 10 8 6 5
C Q 10 9

S 3 8
H 3 9
S Q 9 8
H A K 10 9
D A Q 2
C J 7 6


17.
S Q 9
H J 7 2
D K Q 10 7 6 2
C Q J
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 8 6 2
H A 10 8
D 8
C 9 8 7 6 4 3

S 3 11
H 3 8
S K J 10 7
H K 9 6
D A 9 5 4
C A 10


29.
S 10 8 2
H J 2
D Q 6 4 2
C A Q 7 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 9 7 6
H 10 8 7
D K 10 5
C 10 8 6

S 3 8
H 3 9
S K J
H A K 9 6
D A 9 8 7
C J 9 3


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

S 3 8
H 3 9
S K J
H J 9 8 2
D A 10 5 4
C A Q 3


38.
S Q J 8 2
H J 9 2
D A 7 6
C Q 7 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K
H 10 7 6
D Q 9 8 4 2
C 9 8 6 3

S 3 8
H 3 9
S 10 9 7 6
H A K 8
D K 10 5
C A J 10


46.
S 9 8
H A 7 2
D Q 7 2
C A 9 8 7 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10 7
H J 10 6
D K 9 8 5
C 10 4 3

S 3 9
H 3 8
S K Q 6 2
H K 9 8
D A 10 6 4
C Q J


51.
S Q 9 7
H A 9 7
D Q 8 5 4
C J 9 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10 2
H J 10 8
D K 10 6 2
C 8 7 4

S 3 9
H 3 8
S K 8 6
H K 6 2
D A 9 7
C A Q 10 6


52.
S J 6 2
H K 7
D Q 7 5 4
C Q J 7 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 9 7
H J 10 9
D A 10 8 6 2
C 8 6 4

S 3 9
H 3 8
S K Q 10 8
H A 8 6 2
D K 9
C A 10 9


60.
S Q 9 6
H 9 8
D A Q 10 5 2
C J 10 9
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10 2
H A J 7 2
D 9 6 4
C 7 4 3

S 3 10
H 3 8
S K 8 7
H K 10 6
D K 8 7
C A Q 8 6


72.
S K 7
H J 6
D A 9 8 5 4
C J 9 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10 9 8 2
H 9 8
D Q 10 2
C Q 7 6

S 3 8
H 3 9
S Q 6
H A K 10 7 2
D K 7 6
C A 10 8


TopMain

101.
S K 10 8
H 9 2
D K Q 6 4
C J 8 7 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 9
H K J 10 8 6
D 9 8 5 2
C 9 6

S 3 9
H 3 8
S Q 7 6 2
H A 7
D A 10 7
C A Q 10 4


117.
S J 10 7
H 10 8 7 6
D A K 9
C J 7 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K Q 8 6
H 9 2
D 8 7 4
C 10 9 8 4

S 3 8
H 3 9
S 9 2
H A K J
D Q 10 6 5 2
C A Q 3


118.
S K Q 9
H 10 7 2
D K 7 5 2
C Q 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 8 6 2
H A J 9 8
D 9 8 6 4
C 8 6

S 3 10
H 3 8
S J 10 7
H K 6
D A Q 10
C A J 10 9 7


126.
S Q 8 2
H 9
D A K 6 4
C J 9 8 6 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 9 6
H J 10 8 7 6
D Q 7 5
C Q 10 7

S 3 9
H 3 8
S K J 10 7
H A K 2
D 10 9 8 2
C A 3


129.
S 10 6
H 8 7
D A K Q 8 4
C 10 7 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q J 8 7 2
H K 9 6
D 9 7 5
C 9 6

S 3 8
H 3 10
S K 9
H A J 10 2
D 10 6 2
C A Q J 8


136.
S J 9 2
H 10 8
D K Q 8 4 2
C A 9 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10 8 6
H K J 7 6 2
D 10 5
C J 8 3

S 3 10
H 3 8
S K Q 7
H A 9
D A 9 7 6
C Q 10 7 4


142.
S J 9 8
H A 9
D 8 6 5 2
C A 9 8 7
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 10 2
H 10 8 7 6
D Q 10 9 4
C J 10

S 3 8
H 3 9
S K 7 6
H K J 2
D A K 7
C Q 6 4 3


146.
S Q J 7
H A 8
D 10 8 7 5 4
C Q J 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 9 6 2
H K 10 9 6 2
D Q 2
C 10 8 7

S 3 10
H 3 8
S K 10 8
H J 7
D A K 9 6
C A 9 6 4


161.
S K J 10
H J 8 7
D 9 7 5
C A 10 9 8
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 7 2
H K 10 6
D 10 8 4
C J 7 6 4

S 3 9
H 3 8
S 9 8 6
H A 9 2
D A K Q 6 2
C Q 3


163.
S Q 9 6
H K J
D 10 6 4 2
C A 6 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 8
H A 9 8 7 6
D 9 8 7
C 10 9 8

S 3 10
H 3 8
S K 10 7 2
H 10 2
D A K Q 5
C Q J 7


TopMain

175.
S 10 9 8
H J 6 2
D K Q 6 4 2
C Q J
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 7 2
H A 9 7
D 10 9 8 5
C 10 9 7 4

S 3 9
H 3 8
S K Q J 6
H K 10 8
D A 7
C A 8 6 3


186.
S 8 7 2
H K 9 2
D A 10
C Q J 10 9 7
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10 9
H J 10 7
D K 6 5 4 2
C 8 3

S 3 9
H 3 8
S K Q 6
H A 8 6
D Q 9 8 7
C A 6 4


191.
S K 9
H A 9 8
D 10 7 2
C Q 10 8 6 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 7 6 2
H J 10 7
D A 9 6 5 4
C 9 4

S 3 9
H 3 8
S Q J 10 8
H K 6 2
D K Q 8
C A J 7


201.
S K 9 8
H 10 8
D Q 9 5 4
C A J 7 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 7 6
H 9 7
D K 10 7 6 2
C 10 8 4

S 3 8
H 3 9
S J 10 2
H A K J 6 2
D A 8
C Q 9 3


206.
S Q J
H K 10 2
D A 9 5
C 10 9 8 7 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10 9
H J 9 6
D 10 8 7 6 4 2
C A 6

S 3 9
H 3 8
S K 8 7 6 2
H A 8 7
D K Q
C Q J 3


211.
S K 8 6
H 10 7 6
D Q 9 5
C A 10 6 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10 7 2
H J 2
D A 8 6 4 2
C J 9 3

S 3 8
H 3 9
S Q J 9
H A K 9 8
D K 10 7
C Q 8 7


233.
S K 10 7
H 10 8 7
D A Q 5 4
C 8 7 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 9 8 6
H A 6 2
D 10 9 7 2
C J 4

S 3 9
H 3 8
S Q 2
H K J 9
D K 8 6
C A Q 10 9 3


257.
S Q 10 2
H J 7
D K 7 6 4 2
C A 8 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K 9 6
H 10 8 6 2
D Q 10 9
C 10 9 3

S 3 8
H 3 9
S J 8 7
H A K 9
D A 8 5
C Q J 7 6


261.
S 2
H K 10 7
D 10 9 7 6 2
C A Q 10 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K J 10 8 7
H 6 2
D Q 4
C 9 8 7 3

S 3 8
H 3 12
S Q 9 6
H A J 9 8
D A K 8 5
C J 4


265.
S J
H K 9 2
D K Q 9 8 2
C Q J 8 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K 10 9 8 7 2
H 8 7
D 10 5
C 10 4 3

S 3 7
H 3 10
S Q 6
H A J 10 6
D A 7 6 4
C A 9 7


TopMain

286.
S K 6
H J 7 2
D K Q 9 7 5
C 10 9 8
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10 2
H A 10 9 6
D 10 8 6
C J 7 4

S 3 9
H 3 8
S Q 9 8 7
H K 8
D A 4 2
C A Q 6 3


306.
S 6 2
H K J 9
D K Q 9 8 6
C 6 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K Q J 10 8
H 8 7 2
D 10 7 4
C 10 9

S 3 8
H 3 9
S 9 7
H A 10 6
D A 5 2
C A Q J 8 7


331.
S J 8 2
H A 10 9
D Q 8 6
C Q J 10 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10 9 7 6
H J 8 2
D A 10 5 2
C 9 6

S 3 8
H 3 9
S K Q
H K 7 6
D K 9 7 4
C A 8 7 3


336.
S K J 6
H A 2
D 9 5 4
C J 10 8 6 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 8 7 2
H 9 7 6
D A 7 6 2
C 9 7

S 3 8
H 3 9
S 10 9
H K J 10 8
D K Q 10 8
C A Q 3


341.
S J 8 2
H 10 9
D K 8 7 6
C A J 9 8
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10 6
H K J 7
D 10 5 4 2
C Q 10 6 3

S 3 9
H 3 8
S K Q 9 7
H A 8 6 2
D A Q 9
C 7 4


353.
S Q J 2
H 9 8 7
D K Q 2
C Q J 10 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 9 7 6
H 10
D A 10 8 6 4
C 9 7 6 3

S 3 8
H 3 9
S K 10 8
H A K J 6 2
D 9 7 5
C A 8


358.
S K J 6
H 9 8 6
D K 10 8 7 2
C Q 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10 9
H 10 7
D Q 6 5 4
C A 10 9 8 6

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


365.
S 10 6 2
H K J 10 8
D A 8 2
C J 8 7
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K J 9
H 9 6 2
D Q 10 9 7
C 10 9 4

S 3 9
H 3 8
S Q 8 7
H A 7
D K 6 5 4
C A Q 6 3


376.
S Q 7
H 7 6
D A Q 10 9 8 6
C J 7 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K J 9 8 2
H 9 8 2
D 7 5
C Q 6 4

S 3 8
H 3 10
S 10 6
H A K J 10
D K 4 2
C A 10 9 8


378.
S J 6 2
H A 9 8 2
D 8 5 2
C A J 7
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K 10 9
H J 10 6
D 10 9 7 4
C 10 9 4

S 3 9
H 3 8
S Q 8 7
H K 7
D A K Q 6
C Q 8 6 3


TopMain

380.
S Q 2
H K 7 2
D Q 10 9 7 2
C Q J 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10 9 8 7 6
H 10 6
D A 6 5
C 10 8 4

S 3 8
H 3 10
S K J
H A J 9 8
D K 8 4
C A 9 7 3


381.
S K 10 7
H A 9
D 8 2
C Q 10 9 8 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 8 6
H K 10 6 2
D Q 10 9 6 5 4
C 6

S 3 9
H 3 8
S Q J 9 2
H J 8 7
D A K 7
C A J 7


383.
S Q 9 2
H J 6
D Q 8 5 4
C A 6 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K J 7
H 10 7 2
D 9 7 6 2
C 10 9 7

S 3 8
H 3 9
S 10 8 6
H A K 9 8
D A K 10
C Q J 8


389.
S J 7 6 2
H J 6 2
D A Q 4
C Q 8 7
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q
H K 10 7
D 10 9 7 6 5 2
C 10 6 3

S 3 9
H 3 8
S K 10 9 8
H A 9 8
D K 8
C A J 9 4


400.
S Q J 7
H 2
D A 8 5 4 2
C Q J 9 8
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10 9 6
H K J 8 7 6
D 9 7
C 10 7 6

S 3 10
H 3 8
S K 8 2
H A 10 9
D K Q 10 6
C A 4 3


407.
S J 9 2
H K
D A Q 9 5 2
C 10 9 8 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K 10
H J 9 7 6 2
D 7 4
C J 7 6 4

S 3 9
H 3 8
S Q 8 7 6
H A 10 8
D K 10 8 6
C A Q


421.
S Q 2
H 8 2
D K Q 10 8 2
C Q 10 9 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10 9 7
H J 9
D 9 7 6 5
C A 8 6

S 3 8
H 3 9
S K 8 6
H A K 10 7 6
D A 4
C J 7 3


432.
S K 2
H K 10
D A 7 6 5 4
C 10 9 6 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 10 9 8 6
H J 9 8 7
D Q 9 2
C 7

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


434.
S K 6
H 9 2
D A Q 9 5
C 10 9 8 7 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q J 10 9 2
H J 10 6
D 8 4 2
C J 4

S 3 8
H 3 10
S 8 7
H A K 8 7
D K 10 7 6
C A Q 3


447.
S J 7 6
H A 6
D K 10 8 2
C J 8 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 9 8
H 10 7
D Q 9 7 6 5
C Q 10 7

S 3 9
H 3 8
S K 10 2
H K J 9 8 2
D A 4
C A 9 6


TopMain

452.
S K 8 6
H J 9 2
D A 10 9 4
C J 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 9 7
H K 10 7 6
D 7 6 5
C 10 9 7

S 3 9
H 3 8
S Q 10 2
H A 8
D K Q 8 2
C A Q 8 6


454.
S J 9
H 9 6
D A K 8
C Q 10 9 7 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 8 7 2
H K J 10 7
D 10 7 6 4 2
C 6

S 3 10
H 3 8
S K Q 10 6
H A 8 2
D Q 9 5
C A J 8


456.
S Q J 10
H A 2
D K 6 4
C J 10 7 6 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 9 8 7
H K J 10 9 7
D 10 9 8 2
C 9

S 3 9
H 3 7
S K 6 2
H 8 6
D A Q 7 5
C A Q 8 3


466.
S K 9
H J 8 6
D K 9 5
C A 10 9 8 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 10 7 6 2
H 10 7
D 10 8 7 6 2
C Q

S 3 8
H 3 11
S J 8
H A K 9 2
D A Q 4
C J 7 6 3


470.
S K J 10 7
H K 10 2
D 10 8 5
C Q 8 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 8 2
H J 9 8 6
D A 9 7 6 2
C J 4

S 3 9
H 3 8
S Q 9 6
H A 7
D K Q 4
C A 10 9 7 3


481.
S 10 7 6
H 6 2
D A K Q 7 5
C 9 8 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 9 2
H K J 8 7
D 8 6 4 2
C 10 4

S 3 9
H 3 8
S K Q 8
H A 10 9
D 10 9
C A Q J 7 3


483.
S K Q 6
H J 10
D A Q 10 6 2
C 9 8 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 9 2
H K 9 8 7 2
D 9 7 4
C 10 7 4

S 3 10
H 3 8
S J 10 8 7
H A 6
D K 8 5
C A Q J 3


491.
S 10 2
H J 10
D Q 10 7 4 2
C A Q 8 7
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q J 9 8 6
H 9 2
D K 8 5
C 10 6 4

S 3 8
H 3 10
S K 7
H A K 8 7 6
D A 9 6
C J 9 3


493.
S K 10 2
H 10 8
D 10 9 8 5
C A Q 6 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 9 7
H J 7 2
D Q 6 4 2
C J 10 7

S 3 8
H 3 9
S J 8 6
H A K 9 6
D A K 7
C 9 8 4


496.
S 10 2
H J 6
D A Q 9 5 2
C Q 8 6 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 8 7 6
H 10 9 2
D K 10 7 6
C J 10

S 3 8
H 3 9
S K J 9
H A K 8 7
D 8 4
C A 9 7 3


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497.
S K 10 8 7
H J 10 7
D A 8 2
C J 10 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS
H A 9 6
D 9 7 6 5 4
C Q 9 8 6 4

S 3 9
H 3 7
S Q J 9 6 2
H K 8 2
D K Q 10
C A 7


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

S 3 10
H 3 8
S K 8 2
H A 2
D A K 7
C Q 10 9 8 7


505.
S 8 6
H A 8 7
D K Q 8
C J 10 9 8 7
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 10 9 7 2
H J 10 2
D 10 7 6 2
C 4

S 3 8
H 3 10
S K J
H K 9 6
D A 9 5 4
C A Q 6 3


506.
S K 10 9 6
H J 9 2
D A 5 2
C Q 9 8
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 7 2
H A 10 8
D 8 7 6 4
C 7 6 3

S 3 9
H 3 8
S Q 8
H K 7 6
D K Q 10 9
C A J 10 4


508.
S Q J 9
H K
D K 8 7 5
C 10 9 7 6 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10 8 2
H A 10 7 6 2
D 10 4 2
C J 3

S 3 9
H 3 8
S K 7 6
H J 9 8
D A Q 9 6
C A Q 8


516.
S J 2
H J 8 7
D K 10 9 5
C A 7 6 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 9 8 6
H K 10 9
D Q 8 2
C 10 9 8 4

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


533.
S K 2
H A 9 6
D 7 6 5 2
C Q 10 6 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10 6
H K 10 8 2
D 10 9 8
C 9 7 4

S 3 9
H 3 8
S Q 9 8 7
H J 7
D A K Q 4
C A J 8


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

S 3 9
H 3 8
S 8 7 2
H A K 6
D A K 7 2
C J 10 6


555.
S K 7 2
H A 2
D Q 10 9 5
C 9 7 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS Q 10 6
H K 10 8 6
D 7 6 4 2
C J 6

S 3 9
H 3 8
S J 9 8
H J 9 7
D A K 8
C A Q 10 8


557.
S 8 6
H J 6
D A K Q 6 5 2
C 8 7 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10 9 2
H K 10 9 8 7
D 10
C J 10 9 6

S 3 11
H 3 8
S K Q J 7
H A 2
D 9 8 7 4
C A Q 4


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595.
S K Q 7
H 9 8
D Q 10 9
C Q J 10 9 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 9 2
H A J 10 6 2
D 8 7 6 4
C 7 3

S 3 10
H 3 8
S J 10 8 6
H K 7
D A K 5 2
C A 8 4


627.
S K J 2
H 8 6
D A 9 8 2
C J 9 6 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 9 7 6
H K J 10 7 2
D 7 6 5 4
C Q

S 3 10
H 3 8
S Q 10 8
H A 9
D K Q 10
C A 10 8 7 3


629.
S Q 2
H 7 6
D K 8 4 2
C A Q 9 8 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K J 9 7
H 10 8
D 9 7 6 5
C 10 7 6

S 3 8
H 3 9
S 10 8 6
H A K J 9 2
D A Q 10
C J 3


639.
S J 9
H K 2
D A K 9 8 2
C 10 7 4 3
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K 8 7 6 2
H 10 9 8
D 10 6
C J 8 6

S 3 8
H 3 9
S Q 10
H A J 7 6
D Q 7 5 4
C A Q 9


640.
S Q J 10
H 9 8 6
D Q 8 6 5
C A 9 8
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K 9 2
H 10 7
D 10 9 7 2
C J 10 6 3

S 3 8
H 3 9
S 8 7 6
H A K J 2
D A K 4
C Q 7 4


646.
S Q J 2
H J 9 8
D A 10
C J 10 9 7 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS K 8 7
H 10 7 6
D K 9 7 6 4 2
C 6

S 3 8
H 3 9
S 10 9 6
H A K 2
D Q 8 5
C A Q 8 3


647.
S K 10 7
H K J
D Q 9 8 7 4 2
C 9 7
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 9 2
H A 9 7 6 2
D 6
C J 8 6 3

S 3 10
H 3 8
S Q 8 6
H 10 8
D A K 10 5
C A Q 10 4


657.
S Q 8 7
H 9 7 6
D A 9 7 5
C A 10 4
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10 2
H J 10 8
D 8 6 4
C Q J 7 3

S 3 9
H 3 8
S K 9 6
H A K 2
D K Q 10 2
C 9 8 6


662.
S Q 8 6
H A 10
D K 9 7 6 4 2
C 10 6
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS J 10
H K 9 8 7 2
D Q 5
C 9 7 4 3

S 3 11
H 3 8
S K 9 7 2
H J 6
D A 10 8
C A Q J 8


683.
S K 8 6
H 9
D Q 9 8 6 2
C A J 9 8
S A 5 4 3
H Q 5 4 3
D J 3
C K 5 2
TableS 10
H A 10 7 6 2
D 10 7 5 4
C 10 4 3

S 3 10
H 3 8
S Q J 9 7 2
H K J 8
D A K
C Q 7 6


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

S 3 9
H 3 8
S K 7
H A 8 6 2
D Q 8 7 2
C A Q 9


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

S 3 9
H 3 9
S J 9 8 7
H K 9
D A K Q 5
C Q J 3


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

S 3 11
H 3 10
S K 8 6
H A K 6
D K Q 8 4 2
C 10 6


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

S 3 10
H 3 11
S K 8 7
H A K 7 2
D 10 6 4
C A J 10


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

S 3 8
H 3 9
S K J 6
H K J 9
D 10 9 8
C A Q J 4


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

S 3 11
H 3 10
S K J 9 2
H K 9 8 6
D A 8 2
C A 8


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

S 3 12
H 3 12
S K 10 7 6
H A K 10 9
D K 7 2
C A 8


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

S 3 11
H 3 12
S K Q 10
H A 9 2
D A Q 8 5 4
C Q 9


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

S 3 8
H 3 9
S K 10
H 9 7 6 2
D A Q 7
C A Q 7 4


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

S 3 9
H 3 9
S K Q J
H A 7 2
D 10 9 7
C A J 6 4

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© 2015 Richard Pavlicek