Main   Simulation 8Z15 by Richard Pavlicek  

Stayman or Pass?

Suppose South opens 1 NT (15-17) in first seat vulnerable against not, West passes, and you have the North hand shown.

Kevin O’Dea (Ireland) asks, “If you bid 2 C Stayman intending to pass opener’s 2 H or 2 S, will your matchpoint score, on average, be better or worse than passing 1 NT?”

I would think better, but for a definitive answer I’ll have to consult Madame Zoltar and get back to you.

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

West

Pass
North

?
East
South
1 NT

This kind of problem is best solved by a simulation, as theoretical calculation would be a numerical zoo if even possible. Besides your options, it is also reasonable to invite game if a fit is found, so I’ll include that as well to make three options: (A) Pass 1 NT; (B) bid 2 C then pass 2 H or 2 S, else bid 2 NT; or (C) bid 2 C then raise to 3 H or 3 S, else bid 2 NT. Note that Options B and C both dictate the same invitational 2 NT when opener has no major.

This simulation is more complicated than most, because the contract will vary for Options B and C. Depending on the existence of a fit and opener’s strength, Option B will play 2 H, 2 S, 2 NT or 3 NT; and Option C will play 2 NT, 3 H, 3 S, 3 NT, 4 H or 4 S. (Option A will always play 1 NT.) Therefore, for each random deal, the appropriate contracts must be determined before comparison. The strain is straightforward: the major fit if any (hearts with both) else notrump. My criterion for a “maximum” will be 17 revalued points, a better yardstick than simply HCP, as it will include some hands of 16 HCP but reject others.

To determine the best option I created 10,000 random deals with the North hand fixed, and South constrained to open 1 NT: HCP 15-17; freakness less than 3 (balanced); with a 5-card major, doubleton must be J-x or better (my general guideline which is about mainstream). Further, to exclude most deals that would harbor interference, both West and East are constrained to HCP less than 15; freakness less than 6 or playing half-tricks less than 12; longest suit less than 6 or playing half-tricks less than 12.

As predicted, Option B is the clear winner at matchpoints; in fact Option A is dead last, losing to Option C as well. At total points or IMPs, however, it’s a different story, with Option C winning easily, aided immensely by North-South being vulnerable.

Out of curiosity I recalculated the totals with North-South nonvulnerable (affects only total points and IMPs) and was surprised to see a new winner in the IMP category: Option A, 53.22 percent; Option B, 46.09; Option C, 50.69. Evidently nonvulnerable at IMPs is the only time that passing 1 NT is the best strategy.

Results for 10,000 Deals
OptionTrick AvgMake PctMatchpointsTotal PointsIMPs
A7.89390.9217896 44.741428730 46.1037313 49.24
B8.63876.2823620 59.051294070 41.7632980 43.52
C8.63852.9218484 46.211925620 62.1443368 57.23

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 option. 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 option chosen made a significant difference. The number of tricks won by declarer is shown for each contract, assuming double-dummy play by both sides.


Seed 7337A4B5 10000

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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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© 2017 Richard Pavlicek