Main     Simulation 8Z03 by Richard Pavlicek    

Diamonds or Notrump?

After partner opens 2 NT, it is routine via Stayman to seek a 4-4 major fit, which usually provides a superior game or slam than notrump. Suppose you discover that no 4-4 major fit exists. Is it beneficial (presuming IMP scoring) to investigate a 4-4 minor fit when you have the high cards to bid 6 NT? Recently a friend asked about the following North hand:

S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
Table


West

Pass
Pass

North

3 C
?

East

Pass

South
2 NT1
3 D
1. 20-21

Should North seek a 4-4 diamond fit or just bid 6 NT?

A difficult question. While 6 D in a 4-4 fit will usually produce a better slam, in the majority of cases it loses 2 IMPs (1370 versus 1440); plus there are some cases where only 6 NT makes, e.g., with a spade ruff looming. Only a simulation might provide a solution.

To determine the answer I created 10,000 random deals with the North hand fixed, and the others constrained to match the auction, plus South having a diamond fit: South HCP 20-21; freakness less than 3 (balanced); no 4-card major; 4 or 5 diamonds. Further, to eliminate deals where an opponent might have bid: East freakness less than 9; West freakness less than 9.

As the table confirms, there is no question that 6 D makes more often, and at total points reaps a net gain of over 700,000 points, or 70 points per deal. But look at the IMP totals! A complete turnaround, as bidding 6 NT every time nets over 2300 IMPs, yielding a 53-percent score. At matchpoints (or board-a-match) the gain for 6 NT is expectedly huge, scoring over 86 percent.

Sadly, this brings out a serious defect in IMP scoring. Instead of rewarding the best contract, it rewards the higher scoring strain, which sabotages the main purpose of bidding. Accurate bidding to the superior minor slam makes you a loser in the long run. Some years ago I proposed a solution to fix this, but the governing bodies are like ostriches with their heads in the sand. See Broken Scoring Fix.

Results for 10,000 Deals
ContractTrick AvgMake PctMatchpointsTotal PointsIMPs
6 D12.23292.262796 13.981635900 63.8917949 46.98
6 NT12.03383.4917204 86.02924640 36.1120254 53.02

All numbers are relative to the declaring side, so the highest number in each column is best. 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 contract. 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 choice of contract made a significant difference. The number of tricks won by declarer is shown for each contract, assuming double-dummy play by both sides.

Seed 6B2C0F4A 10000
N:Q432.32.AQJT.KJ2
#SP20-21F[3d4s[4h[4WF[9EF[9
Vul B Contracts 6d 6n Lead any

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

6 D 12
6 NT 12
S A K 6
H K Q J
D K 8 5 2
C A 9 4


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

6 D 12
6 NT 11
S A K 8
H A 7 6
D K 9 4 3
C A Q 7


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

6 D 12
6 NT 12
S A K 6
H A 4
D K 9 8 6 5
C A Q 10


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

6 D 13
6 NT 13
S A K 6
H A K 10
D K 8 7 3
C A 10 7


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

6 D 13
6 NT 12
S A K
H A J 4
D K 8 6 2
C A Q 8 6


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

6 D 12
6 NT 12
S K J
H A K 9
D K 7 6 5
C A Q 9 6


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

6 D 12
6 NT 12
S A K 7
H K Q J
D K 9 7 3 2
C A 7


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

6 D 12
6 NT 11
S A K 5
H A 7 6
D K 9 6 5
C A Q 4


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

6 D 12
6 NT 12
S A 9 5
H A K Q
D K 6 5 4
C A 10 7


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

6 D 12
6 NT 12
S A 10 5
H A K
D K 8 6 2
C A Q 9 6


TopMain

24.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 7 6 5
H J 10 4
D 4
C 10 8 5 4 3
TableS 10 9
H K Q 8 6 5
D 9 7 5 2
C 9 6

6 D 12
6 NT 11
S A K 8
H A 9 7
D K 8 6 3
C A Q 7


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

6 D 12
6 NT 11
S A K 8
H A 5 4
D K 6 4 2
C A Q 7


41.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 10 7 5
H 8 7 6
D 8 7
C 10 8 4 3
TableS 9 6
H Q J 10 9 4
D K 5 3
C 7 6 5

6 D 12
6 NT 11
S A K 8
H A K 5
D 9 6 4 2
C A Q 9


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

6 D 12
6 NT 11
S A 6
H A K 6
D K 7 6 3
C A Q 9 7


62.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S K 9
H K J 8 5
D 8 6
C 9 8 7 5 4
TableS 10 8 7 5
H 10 7 6 4
D 7 5 3
C 10 3

6 D 12
6 NT 11
S A J 6
H A Q 9
D K 9 4 2
C A Q 6


65.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 9
H J 7 5
D 8 6 3
C 9 8 7 6 5
TableS K J 7 5
H Q 10 8 6 4
D 4
C 10 4 3

6 D 12
6 NT 11
S A 8 6
H A K 9
D K 9 7 5 2
C A Q


73.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 9
H J 10 7 6 5 4
D 8 6
C 10 5 4
TableS K 10 6 5
H Q 9
D 5 4 3
C 9 8 7 6

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


80.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 7 6 5
H K J 10 9 6
D 7 4 2
C 7
TableS J 9
H 8 5 4
D 9 3
C Q 10 9 8 6 3

6 D 12
6 NT 11
S A K 8
H A Q 7
D K 8 6 5
C A 5 4


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

6 D 12
6 NT 11
S A J 5
H A K J
D K 9 4 2
C A 9 3


102.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S A 10 8 6 5
H J 10 7
D 8 7
C 6 5 4
TableS 9 7
H 9 8 6 5 4
D 9 4 3
C Q 10 7

6 D 12
6 NT 11
S K J
H A K Q
D K 6 5 2
C A 9 8 3


TopMain

108.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S K 9 6 5
H J 10 6
D 9 6 5
C 10 7 5
TableS J 10
H Q 8 7 5 4
D 7 3
C 9 8 6 4

6 D 12
6 NT 11
S A 8 7
H A K 9
D K 8 4 2
C A Q 3


113.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 6
H 9 7 5
D 8 5
C 9 8 7 6 5 3
TableS A 9 7 5
H Q J 10 8 4
D 9 7 4
C 4

6 D 12
6 NT 11
S K J 8
H A K 6
D K 6 3 2
C A Q 10


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

6 D 12
6 NT 11
S A 7
H A K 6
D K 9 8 7 4
C A Q 8


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

6 D 11
6 NT 12
S A J
H A K 6
D K 9 7 2
C A Q 10 7


138.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S K 10 9 6
H Q 6 4
D 9 4
C 10 8 6 4
TableS J 7
H J 10 8 7 5
D 7 6 5
C 7 5 3

6 D 12
6 NT 11
S A 8 5
H A K 9
D K 8 3 2
C A Q 9


140.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 8 7
H Q 10 8 7 5 4
D 2
C 10 6 4
TableS A 10 9 5
H 9 6
D 8 7 3
C 8 7 5 3

6 D 12
6 NT 11
S K 6
H A K J
D K 9 6 5 4
C A Q 9


147.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 9 6
H A J 10 7
D 8 5 3 2
C 8 7 5
TableS J 10 8 7
H 9 6 5 4
D 9
C 9 6 4 3

6 D 12
6 NT 11
S A K 5
H K Q 8
D K 7 6 4
C A Q 10


154.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 8
H K J 10 9 8
D 8 7 4
C 8 6 3
TableS 10 9 7 6
H Q 6 5
D 3 2
C 10 9 7 4

6 D 12
6 NT 11
S A K 5
H A 7 4
D K 9 6 5
C A Q 5


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

6 D 12
6 NT 11
S A K J
H K Q 8
D K 9 8 5
C A 6 3


162.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S A 8 6 5
H J 6 5 4
D 7 6 3
C 8 3
TableS 10 9
H Q 10 9 7
D 9 5
C 10 9 7 6 5

6 D 12
6 NT 11
S K J 7
H A K 8
D K 8 4 2
C A Q 4


TopMain

169.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 9 8 7 6
H Q 8 6 5
D 8 4
C 8 5
TableS 10
H J 10 9 7
D K 3 2
C 9 7 6 4 3

6 D 12
6 NT 11
S A K 5
H A K 4
D 9 7 6 5
C A Q 10


176.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 7 6 5
H 6
D 7 5 2
C 10 9 7 6 5
TableS J 9
H A Q 10 9 8 7 4
D 9 3
C 4 3

6 D 11
6 NT 12
S A K 8
H K J 5
D K 8 6 4
C A Q 8


179.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S K J 6 5
H J 10 7
D 7 4 3
C 8 7 4
TableS 10 9
H Q 9 6 5 4
D 6 2
C 10 9 5 3

6 D 12
6 NT 11
S A 8 7
H A K 8
D K 9 8 5
C A Q 6


181.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 6
H J 10 9 8
D 6 4
C 9 8 7 6 5 3
TableS K J 9 8 7
H Q 7 6 5
D 8 7 3
C 10

6 D 12
6 NT 11
S A 10 5
H A K 4
D K 9 5 2
C A Q 4


185.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 8 7 6
H Q 9 8 5
D 9 8
C 9 7 6
TableS J 9
H K J 7 4
D 7 6 3
C 10 8 4 3

6 D 12
6 NT 11
S A K 5
H A 10 6
D K 5 4 2
C A Q 5


213.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 9
H Q 10 9 8 4
D 7 6 2
C 9 8 5
TableS K J 8 6 5
H 7 6 5
D 5 3
C 7 6 4

6 D 12
6 NT 11
S A 7
H A K J
D K 9 8 4
C A Q 10 3


225.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 8 6
H Q 9 6
D 9 8
C 10 9 8 5 4
TableS K 10 9 7
H J 10 7 5 4
D 6 4 2
C 6

6 D 12
6 NT 11
S A 5
H A K 8
D K 7 5 3
C A Q 7 3


236.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10
H Q 9 7 5
D 9 8 5 2
C 10 9 4 3
TableS K 9 8 6 5
H J 8 6 4
D 7
C 7 6 5

6 D 12
6 NT 11
S A J 7
H A K 10
D K 6 4 3
C A Q 8


244.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 6
H Q 5 4
D 9 8 7 5
C 8 7 6 5
TableS J 9 8 7
H K J 9 8 7
D 4
C 9 4 3

6 D 12
6 NT 11
S A K 5
H A 10 6
D K 6 3 2
C A Q 10


260.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 9 7
H 10 9 5 4
D 6
C 10 9 7 6 5
TableS K 10 5
H Q J 8 7
D 7 3 2
C 8 4 3

6 D 12
6 NT 11
S A 8 6
H A K 6
D K 9 8 5 4
C A Q


TopMain

276.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 8
H K 10 9 8 6 4
D 4 3 2
C 10 7 5
TableS K 10 9 7 6 5
H J 5
D 7 5
C 9 8 3

6 D 12
6 NT 11
S A J
H A Q 7
D K 9 8 6
C A Q 6 4


280.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 9 6
H Q 10 9 8 7
D 7 6
C 9 8 6 3
TableS J 10 8 5
H K 6 5
D 4 3 2
C 10 7 4

6 D 12
6 NT 11
S A K 7
H A J 4
D K 9 8 5
C A Q 5


282.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 7 5
H K 9 7 5 4
D 7 5
C 9 8 6
TableS K J 8 6
H 10 8 6
D 9 6 3
C 7 4 3

6 D 12
6 NT 10
S A 9
H A Q J
D K 8 4 2
C A Q 10 5


283.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S K 9 8
H K 7 5
D 9 8 4 3
C 8 6 4
TableS 10 7 6 5
H J 10 9 6 4
D 2
C 10 9 5

6 D 12
6 NT 11
S A J
H A Q 8
D K 7 6 5
C A Q 7 3


287.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 10
H J 9 7 5 4
D 9 6
C 9 8 7 3
TableS K 9 8 6 5
H Q 10 8
D 8 5 4
C 10 6

6 D 12
6 NT 11
S A 7
H A K 6
D K 7 3 2
C A Q 5 4


293.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 10 7 6
H Q 10 8 7 6 4
D 3
C 7 3
TableS K 9 5
H 9 5
D 8 7 5
C 9 8 6 5 4

6 D 12
6 NT 11
S A 8
H A K J
D K 9 6 4 2
C A Q 10


296.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S K 10 9 6 5
H J 10 9
D 8 3
C 9 6 5
TableS 7
H Q 7 6 5 4
D 9 6 2
C 10 8 7 4

6 D 12
6 NT 11
S A J 8
H A K 8
D K 7 5 4
C A Q 3


314.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 9 6
H J 10 4
D 8 5 3
C 10 8 7 5
TableS K 8 5
H 9 8 7 6 5
D K 6
C 9 6 3

6 D 12
6 NT 11
S A J 7
H A K Q
D 9 7 4 2
C A Q 4


333.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 10 8 5
H Q
D 6 5 4
C 10 9 7 5 4
TableS 9 6
H A 9 8 7 6 5 4
D 7
C 8 6 3

6 D 11
6 NT 12
S A K 7
H K J 10
D K 9 8 3 2
C A Q


340.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 9 8 7 5
H A Q 10 5
D 5 4 3
C 10
TableS J 6
H 9 8 6 4
D 6 2
C 7 6 5 4 3

6 D 12
6 NT 11
S A K
H K J 7
D K 9 8 7
C A Q 9 8


TopMain

342.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 7
H J 9 7
D 5 4 3 2
C 10 8 6 5
TableS K 9 8 6
H K 8 6 5 4
D 8
C 9 7 4

6 D 12
6 NT 11
S A J 5
H A Q 10
D K 9 7 6
C A Q 3


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

6 D 12
6 NT 11
S A 10 6
H A K 6
D K 9 8 5
C A Q 9


344.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 10 9 7
H J 8 7 6 5 4
D
C 10 7 6
TableS 8 6
H K Q 9
D 9 5 4 3 2
C 9 4 3

6 D 11
6 NT 12
S A K 5
H A 10
D K 8 7 6
C A Q 8 5


352.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 7
H Q 10 8 7 5
D 8 7
C 10 8 5 4 3
TableS K 10 9 8 5
H 9 6 4
D 6 4 3
C Q 6

6 D 12
6 NT 11
S A J 6
H A K J
D K 9 5 2
C A 9 7


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

6 D 12
6 NT 11
S A 9 5
H A K 4
D K 6 4 3
C A Q 5


359.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 9
H Q 9 8 7 6 5 4
D 9 6 5
C 3
TableS K 10 8 7 6
H J
D 8 4
C 10 8 6 5 4

6 D 12
6 NT 11
S A 5
H A K 10
D K 7 3 2
C A Q 9 7


364.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 8 7
H Q 10 9 7 5 4
D 9 4 3
C 6
TableS K 9 6
H 8 6
D 8 2
C 10 9 7 5 4 3

6 D 12
6 NT 11
S A 10 5
H A K J
D K 7 6 5
C A Q 8


367.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S A J 10 9 8 6
H Q 8 7
D 9
C 9 6 3
TableS 5
H 10 9 6 5 4
D 7 6 4 3
C 8 5 4

6 D 11
6 NT 12
S K 7
H A K J
D K 8 5 2
C A Q 10 7


371.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 6
H K J 10 9 7
D 2
C 10 9 8 5 4
TableS 10 9 8 7
H 8 5 4
D 8 7 5 4
C Q 3

6 D 12
6 NT 11
S A K 5
H A Q 6
D K 9 6 3
C A 7 6


372.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 8 5
H K 10 8 7 5
D 6 5 4 2
C 10
TableS K 9 7 6
H J 9 4
D 8
C 9 8 7 6 4

6 D 12
6 NT 11
S A J
H A Q 6
D K 9 7 3
C A Q 5 3


TopMain

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

6 D 12
6 NT 11
S A K 5
H A Q 6
D K 9 8 6
C A 6 4


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

6 D 12
6 NT 11
S A K 9
H A 9 6
D K 5 4 2
C A Q 4


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

6 D 12
6 NT 10
S A 5
H A Q J
D K 7 4 3
C A Q 6 5


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

6 D 12
6 NT 11
S A K 7
H K Q J
D K 7 6 2
C A 5 3


416.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J
H J 9 8 7 4
D 9 8 7
C 10 6 4 3
TableS K 10 9 8 7 5
H Q 10 6
D 6 4
C 9 5

6 D 12
6 NT 11
S A 6
H A K 5
D K 5 3 2
C A Q 8 7


433.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 10 9 7 6
H Q 9 8 5
D 5 3
C 4 3
TableS 5
H J 10 7 6 4
D 7 4 2
C Q 10 9 8

6 D 12
6 NT 11
S A K 8
H A K
D K 9 8 6
C A 7 6 5


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

6 D 12
6 NT 11
S A K 5
H A K J
D K 8 7 3
C Q 4 3


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

6 D 12
6 NT 11
S A 6
H A K J
D K 9 5 4
C A Q 10 6


458.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 9 7 5
H Q J 10 6
D
C 10 8 7 6 4
TableS 10 8 6
H K 9 8 4
D 9 8 6 4 3
C 3

6 D 11
6 NT 12
S A K
H A 7 5
D K 7 5 2
C A Q 9 5


459.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 9 8 7 6
H 7 6 4
D 9 8 6 4
C 9
TableS J
H K J 10 9 8 5
D 5
C Q 10 8 7 3

6 D 12
6 NT 11
S A K 5
H A Q
D K 7 3 2
C A 6 5 4


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461.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 8
H 8 6 5 4
D 8 7 5 2
C 8 5 3
TableS K 9 6 5
H Q J 10 9
D 3
C 10 9 7 6

6 D 12
6 NT 11
S A 10 7
H A K 7
D K 9 6 4
C A Q 4


464.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 8 7 6
H Q 9 6 5 4
D 4
C 10 6 5
TableS A 10 5
H 10 8 7
D 8 6 5 3
C 9 4 3

6 D 12
6 NT 11
S K 9
H A K J
D K 9 7 2
C A Q 8 7


476.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S K J 8 5
H 9 4
D 6 4 2
C 10 8 5 3
TableS 10 6
H Q J 10 8 7 5
D 9 5
C 9 7 6

6 D 12
6 NT 11
S A 9 7
H A K 6
D K 8 7 3
C A Q 4


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

6 D 12
6 NT 11
S A K 10
H K Q 4
D K 6 3 2
C A Q 3


503.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 6 5
H J 6 4
D 8 7
C 10 9 8 7 5 4
TableS K J 10 9 8
H Q 10 9 8 5
D 5 3
C 6

6 D 12
6 NT 11
S A 7
H A K 7
D K 9 6 4 2
C A Q 3


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

6 D 12
6 NT 11
S K J 7
H A K 10
D K 8 7 5
C A Q 3


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

6 D 12
6 NT 11
S A 9
H A K 8
D K 6 5 4
C A Q 9 3


509.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 8 7 6
H Q 10 8 5
D 6 3
C 8 7 3
TableS A 9 5
H 9 7 6 4
D 8 5 4
C 9 5 4

6 D 12
6 NT 11
S K 10
H A K J
D K 9 7 2
C A Q 10 6


520.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 8 7 5
H J 9 7 6 5 4
D 7 4
C 9
TableS 10 9 6
H 10 8
D 8 6 2
C A 10 7 6 5

6 D 11
6 NT 12
S A K
H A K Q
D K 9 5 3
C Q 8 4 3


528.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 6
H Q 10 8 6 5 4
D 4 3
C 10 7 3
TableS K 10 8 7 5
H J 9
D 9 7 6
C 9 5 4

6 D 12
6 NT 11
S A 9
H A K 7
D K 8 5 2
C A Q 8 6


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

6 D 12
6 NT 11
S A J 7
H A K 7
D K 4 3 2
C A Q 7


538.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 9
H Q J 8 7 6 5
D 6
C 9 8 7 4 3
TableS K J 10 8 6 5
H 10 9
D 8 4 2
C 6 5

6 D 12
6 NT 11
S A 7
H A K 4
D K 9 7 5 3
C A Q 10


545.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 10 9 8 6
H A 9 6 4
D 7 4
C 10 5
TableS 7
H J 10 8 7
D 9 3 2
C 9 8 7 6 4

6 D 12
6 NT 11
S A K 5
H K Q 5
D K 8 6 5
C A Q 3


548.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 7 6
H K 9 8 7
D 9 6 3
C Q 9 8 4
TableS J 10 9 8
H J 10 5 4
D 7 2
C 7 6 5

6 D 12
6 NT 11
S A K 5
H A Q 6
D K 8 5 4
C A 10 3


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

6 D 12
6 NT 11
S A K 7
H A K 9
D K 8 7 6
C A 9 4


567.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 9 7 6
H K J 10 9 6
D 9 6 2
C 7 4
TableS J 10 8 5
H 8 7 4
D 5
C Q 10 9 8 5

6 D 12
6 NT 11
S A K
H A Q 5
D K 8 7 4 3
C A 6 3


571.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J
H Q 8 7
D 5 3 2
C 9 8 6 5 4 3
TableS K 10 7 6 5
H 10 9 6 5 4
D 8 7
C 10

6 D 12
6 NT 11
S A 9 8
H A K J
D K 9 6 4
C A Q 7


577.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 7
H J 8 7 6
D 7 3
C 10 6 5 4 3
TableS K 10 8 6 5
H Q 10 9 4
D 8 2
C 9 7

6 D 12
6 NT 11
S A 9
H A K 5
D K 9 6 5 4
C A Q 8


590.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 10 9 7 6
H 10 9 8 4
D 8 7
C 7 4
TableS 8 5
H J 7 6 5
D K 9 3
C Q 10 9 3

6 D 12
6 NT 11
S A K
H A K Q
D 6 5 4 2
C A 8 6 5


592.
S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S K 9 5
H Q J 4
D 9 8 5 4 3
C 7 4
TableS 10 8 6
H 10 9 8 7 6 5
D
C 10 9 8 3

6 D 11
6 NT 12
S A J 7
H A K
D K 7 6 2
C A Q 6 5


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

6 D 11
6 NT 11
S A 9 5
H A K Q
D K 8 7 6
C A 7 6


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

6 D 12
6 NT 12
S A K 8
H A Q 4
D K 9 8 7 3
C A 6


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

6 D 13
6 NT 13
S A K 10
H A Q 8
D K 7 6 3
C A 8 5


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

6 D 13
6 NT 13
S A K
H A K 8
D K 8 6 5
C A 10 7 6


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

6 D 11
6 NT 10
S A 9 6
H A K 9
D K 8 4 3
C A Q 6


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

6 D 12
6 NT 12
S A K 7
H A Q 7
D K 8 7 5
C A 10 5


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

6 D 12
6 NT 12
S A 7 5
H A K Q
D K 7 6 3
C A 10 5


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

6 D 12
6 NT 12
S A 10
H A K 7
D K 9 8 5
C A Q 10 7


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

6 D 11
6 NT 11
S A K J
H K 9 8
D K 9 5 3
C A Q 10


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

6 D 12
6 NT 12
S A 10 9
H A K 5
D K 7 5 3
C A Q 5

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© 2013 Richard Pavlicek