Main   Simulation 8Z17 by Richard Pavlicek  

Pass or 1 NT Forcing?

Suppose South opens 1 S in first seat, West passes, and you have the North hand shown.

Alex Hudson (North Carolina) asks, “In the long run, is it better to pass partner’s 1 S opening or respond 1 NT to keep it open? I am also curious about the effects of vulnerability and form of scoring.”

I would tend to bid, mainly on the chance (dream?) that partner has hearts, and also for the tactical advantage of not exposing my dreadful hand to the opponents. Nonetheless, I don’t have a definitive answer, so it seems like an ideal scenario for a simulation.

S 4
H K 9 7 3 2
D 10 8 6
C J 8 6 5
Table

West

Pass
North

?
East
South
1 S

This is a difficult simulation because of the many variables. If you pass, the bidding won’t necessarily end in 1 S (East may balance). If you respond 1 NT (which I play forcing, Alex semiforcing) even if East-West remain silent, your final contract could be anywhere from 2 C to 4 S, excluding 3 H (which you’d raise to game) or four of a minor. If opener jump-shifts to 3 C or 3 D, I would pass (content to improve over 1 S) rather than push my luck to seek a perfecta, but this is debatable (Alex prefers to continue).

Where to start? In order to get a handle on this, I’ll assume 1 NT is forcing, no enemy interference, and North follows my strategy of passing any rebid except 3 H. Therefore, responding 1 NT will have South playing 2 C, 2 D, 2 H, 2 S, 3 C, 3 D, 3 S, 4 H or 4 S; or North playing 2 NT or 3 NT. This means that for each random deal, the contract to compare with 1 S must be determined by opener’s rebid — a task that would not appeal for 10,000 deals, so it was computer-decided at the expense of occasionally being out of line per expert judgment.

To determine the better option I created 10,000 random deals with the North hand fixed, and South constrained to open 1 S: 13-22 revalued points per Pavlicek Point Count, 5+ spades and no longer suit, unqualified to open 1 NT or 2 NT, and at most 9 playing tricks. Further, to exclude most deals where West would interfere, West was constrained to at most 12 HCP, freakness less than 6 or playing tricks less than 6, and longest suit less than 6 or playing tricks less than 6. No constraints were placed on East because he has had no turn yet, and any attempt to do so would bias the scenario by giving South stronger hands than expected.

Results are tainted because East would sometimes compete. While this would often change the final contract, and North-South may end up defending, it is not clear to me which option (pass or 1 NT) would be affected more, so the comparative influence should be minimal. Another caveat is that a few biddable West hands snuck through my constraints to pass 1 S. Despite the flaws, the evidence clearly shows that passing 1 S fares much better at any form of scoring and at any vulnerability. Could the tactical advantage of 1 NT overcome this gap? Hardly, so the practical conclusion must be to pass more often. Deja vu. Where have I heard that advice before?

Results for 10,000 Deals
OptionTrick AvgMake PctMatchpointsTPs VulTPs NVIMPs VulIMPs NV
Pass6.38645.4011098 55.49914540 55.83580790 54.2523368 57.2416724 56.09
1 NT7.40135.248902 44.51723680 44.17489830 45.7517456 42.7613095 43.91

Trick Avg shows the average number of tricks won by declarer. Make Pct shows the percent of time the contract is made. Matchpoints shows the raw total (European style: 2 for a win, 1 for a tie) and effective scoring percent. Total Points and IMPs are shown similarly as raw totals and percents, with separate accountings for N-S vulnerable and N-S nonvulnerable. (Vulnerability does not affect matchpoints.)

Below are 100 of the 10,000 deals, including the first 10 and last 10, and selected deals in-between where the choice of option swung at least 5 IMPs (vulnerable). The number of tricks won by declarer is shown for each contract, assuming double-dummy play by both sides.


Seed A76D537E 10000

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


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


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


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


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


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


7.S 4
H K 9 7 3 2
D 10 8 6
C J 8 6 5
S 9 5 2
H 10 8 6
D Q J 3
C K 4 3 2
TableS K Q 8
H Q
D K 7 5 4 2
C Q 10 9 7
1 S 11
4 H 12
S A J 10 7 6 3
H A J 5 4
D A 9
C A


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


242.S 4
H K 9 7 3 2
D 10 8 6
C J 8 6 5
S 10 7 5 3
H 6 5
D K 3
C K Q 10 3 2
TableS K Q 6
H Q 10
D Q J 7 5 4 2
C 7 4
1 S 9
4 H 12
S A J 9 8 2
H A J 8 4
D A 9
C A 9


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


10000.S 4
H K 9 7 3 2
D 10 8 6
C J 8 6 5
S A J 7
H Q 10 8 6
D 9 2
C A 9 7 4
TableS Q 8 5
H A J 5
D K J 5 4 3
C Q 10
1 S 6
2 S 6
S K 10 9 6 3 2
H 4
D A Q 7
C K 3 2
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© 2018 Richard Pavlicek