Simulation 8Z27   Main


Three Notrump or Double?


  by Richard Pavlicek

At IMPs, East opens 3 S in third seat at favorable vulnerability. You hold:

WEST
Pass
North
Pass
East
3 S
South
?
You (South)
S K Q
H A J 10 9
D A J 9 6 2
C A K

Would you overcall 3 NT (Option A) or double (Option B)? Either option has risks. If you bid 3 NT, a spade lead could be deadly when East holds up his ace to keep communication. If you double (takeout) and partner bids 4 C, you will presumably continue with 4 D, but therein lies no comfort beyond 3 NT on what could be a misfit. I would double because it’s more flexible, and the danger in bidding 3 NT seems too likely. Nonetheless, my decisions are hardly gospel, so I’ll throw it to Madame Zoltar for a simulation.

Comparison is not straightforward, as double will lead to different contracts depending on partner’s hand. More specifically, North might be declarer in 3 NT, 4 H, 5 C or 5 D; South might be declarer in 4 D or 5 D; and East might be left to play 3 S×. To avoid further complication, slam possibilities will be ignored, as will the remote chance of West raising to 4 S.

For a simulation I created 10,000 random deals with the South hand fixed. West and North: unable to open the bidding (including weak bids). East: 6+ spades; 10 HCP max; 5 to 6.5 playing tricks with at least 3.5 in spades; not 6-3-2-2 or 6-3-3-1 with 5-10 HCP (else 2 S is normal).

Results are shown below. Trick Average shows the average number of tricks won by declarer (North or South), Make Percent how often the N-S contract is made (including with overtrick), and Overtrick Percent how often an overtrick is made. (The first table excludes cases where East plays 3 S×.) The second table compares the options according to bridge scoring (all results included) with the better option leftmost. Net W-L (matchpoints or board-a-match verdict) counts +1 for a win and -1 for a loss. Net Score and Net IMPs are calculated twice, first with N-S nonvul (green) then with N-S vul (red). Plus values show the net gain over 10,000 deals.

As anticipated, double is the winner, gaining 13,514 IMPs (1.3514 per deal average) in the applicable category. Curiously, it’s a different story at Won-Lost with 3 NT gaining the edge, obviously because of many small pickups (e.g., 630 vs. 620).

In practice I think double would fare even better for two reasons: (1) Double-dummy play seems to favor the 3 NT bid, e.g., give partner D K-10-x-x (opp. your D A-J-9-6-2) and it’s a 100-percent make, while in actual play a misguess could put you down three. (2) If there happens to be a slam, double is more apt to get you there than 3 NT.

Results for 10,000 Deals
OptionTrick AverageMake PercentOvertrick Percent
A. 3 NT S9.801874.1758.08
B. Double10.833179.8651.16

ComparisonNet W-LNet ScoreNet IMPsNet ScoreNet IMPs
B. Double vs. A. 3 NT S-518+494110+10725+770360+13514

Actual Deals

Below are 100 of the 10,000 deals, including the first 20, last 20, and 60 in-between with the greatest IMP gains (30 for each option). Numbers after each contract show the tricks won by declarer with double-dummy play all-around. A plus sign indicates the best result.

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


2. S 8 4 3
H 8 6 3
D K 5 4
C J 10 8 4
S J 10
H K 2
D Q 10 8 7 3
C Q 9 5 2
Table S A 9 7 6 5 2
H Q 7 5 4
D
C 7 6 3
3 NT S → 7 +
4 D S → 8 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


3. S 9 4
H Q 7 4
D K Q 7
C 10 8 6 3 2
S A 3 2
H K 2
D 8 5 4 3
C J 9 7 4
Table S J 10 8 7 6 5
H 8 6 5 3
D 10
C Q 5
3 NT S → 9 +
5 D S → 11 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


4. S A J 9
H 7 6 3
D K Q 8 7 3
C 10 8
S 7
H K 8 5 4 2
D 5 4
C J 7 6 3 2
Table S 10 8 6 5 4 3 2
H Q
D 10
C Q 9 5 4
3 NT S → 12 +
3 NT N → 12 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


5. S J 10 3 2
H 8 5 3 2
D Q 10 7 5
C 8
S 6
H Q 7 6 4
D K 8
C Q J 10 9 7 3
Table S A 9 8 7 5 4
H K
D 4 3
C 6 5 4 2
3 NT S → 7
3 S× E → 6 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


6. S 10 8 2
H 7 6 5
D 7 3
C Q 9 8 4 3
S 7 5
H K Q 4 2
D K 10 8 5 4
C 10 7
Table S A J 9 6 4 3
H 8 3
D Q
C J 6 5 2
3 NT S → 5
4 D S → 7 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


7. S A J 6 2
H K 5 4 2
D 7
C 10 7 6 2
S
H Q 8 7 6 3
D K Q 10 5 4
C J 5 4
Table S 10 9 8 7 5 4 3
H
D 8 3
C Q 9 8 3
3 NT S → 11
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


8. S A 8 4 3
H K 7 5 4
D K
C 9 8 5 4
S 7
H Q 8 6 2
D Q 8 7 5 4
C J 10 3
Table S J 10 9 6 5 2
H 3
D 10 3
C Q 7 6 2
3 NT S → 12
3 S× E → 4 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9. S A 7
H Q 8 3 2
D Q 3
C J 7 4 3 2
S 5 4
H K 7 6 4
D 10 8 7 5
C 10 9 8
Table S J 10 9 8 6 3 2
H 5
D K 4
C Q 6 5
3 NT S → 10
4 H N → 12 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


10. S 3
H K 8 7 3 2
D Q 5 3
C Q 7 5 4
S J 9 5 4
H Q 6 5
D 10 8 4
C 10 6 2
Table S A 10 8 7 6 2
H 4
D K 7
C J 9 8 3
3 NT S → 12 +
4 H N → 12
S K Q
H A J 10 9
D A J 9 6 2
C A K

Simulation 8Z27   MainTop   Three Notrump or Double?

11. S 9 8 7 5
H 8 7 6 3
D 5 3
C J 10 6
S J
H K Q 4
D K 7
C Q 8 7 5 4 3 2
Table S A 10 6 4 3 2
H 5 2
D Q 10 8 4
C 9
3 NT S → 6
3 S× E → 7 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


12. S 7
H K 7 5
D 8 5 3
C Q 10 8 5 4 2
S J 4 2
H 8 6 3 2
D K Q
C J 9 6 3
Table S A 10 9 8 6 5 3
H Q 4
D 10 7 4
C 7
3 NT S → 9 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


13. S 8
H Q 7 3
D 10 8 4 3
C J 10 9 8 2
S J 6 4
H K 8 5 4
D K Q 7
C 7 6 5
Table S A 10 9 7 5 3 2
H 6 2
D 5
C Q 4 3
3 NT S → 6
4 D S → 9 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


14. S 8 4 3
H Q 2
D K 10 4 3
C 9 6 5 4
S 10 5
H K 7 4
D Q 8
C Q 10 8 7 3 2
Table S A J 9 7 6 2
H 8 6 5 3
D 7 5
C J
3 NT S → 9 +
5 D N → 11 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


15. S 9 4 3
H K Q
D K 8 4
C 9 7 6 4 2
S 6
H 6 5 4 3 2
D Q 10 7 5
C Q 10 3
Table S A J 10 8 7 5 2
H 8 7
D 3
C J 8 5
3 NT S → 11 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


16. S
H K Q 5 3
D Q 10 4
C J 7 5 4 3 2
S 6 5 4 2
H 8 6 4 2
D K 5
C Q 8 6
Table S A J 10 9 8 7 3
H 7
D 8 7 3
C 10 9
3 NT S → 8
4 H N → 12 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


17. S A 5 4
H K Q 8 5
D Q 5 3
C 10 5 2
S 9 6
H 7 6 4 3 2
D 10
C Q J 7 6 3
Table S J 10 8 7 3 2
H
D K 8 7 4
C 9 8 4
3 NT S → 13 +
4 H N → 12
S K Q
H A J 10 9
D A J 9 6 2
C A K


18. S A 9 7
H 5 4
D K Q 10 4
C Q 9 7 2
S 5 2
H Q 7 6 3 2
D 8 5 3
C 10 8 4
Table S J 10 8 6 4 3
H K 8
D 7
C J 6 5 3
3 NT S → 12 +
3 NT N → 12 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


19. S 7 5
H 8 7 6 2
D K 10 8
C Q 8 4 3
S A 9 6
H Q
D 7 5 4 3
C J 7 6 5 2
Table S J 10 8 4 3 2
H K 5 4 3
D Q
C 10 9
3 NT S → 10 +
4 H N → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


20. S 9 3
H K 8
D K 10 8 5
C 10 9 7 6 4
S A 4
H 6 5 4 3 2
D Q 7
C Q 8 5 2
Table S J 10 8 7 6 5 2
H Q 7
D 4 3
C J 3
3 NT S → 12 +
5 D S → 12
S K Q
H A J 10 9
D A J 9 6 2
C A K

Simulation 8Z27   MainTop   Three Notrump or Double?

158. S J 10 7 2
H K 3
D 8 7 3
C 10 8 3 2
S 6
H Q 8 5 4 2
D K Q 10 4
C J 5 4
Table S A 9 8 5 4 3
H 7 6
D 5
C Q 9 7 6
3 NT S → 8
3 S× E → 4 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


304. S J 6 3 2
H 8 6 5 4
D 4
C Q 10 3 2
S 7
H K Q 7 2
D K 10 8 7 3
C 7 5 4
Table S A 10 9 8 5 4
H 3
D Q 5
C J 9 8 6
3 NT S → 7
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


305. S J 3 2
H K 5
D Q 7 5
C 10 6 4 3 2
S 4
H Q 8 7 6
D K 4
C Q J 9 8 7 5
Table S A 10 9 8 7 6 5
H 4 3 2
D 10 8 3
C
3 NT S → 11 +
5 D S → 8
S K Q
H A J 10 9
D A J 9 6 2
C A K


523. S J 10 7 3
H 7 6 4 2
D 7
C J 10 9 3
S 2
H K Q 8 5
D K 10 8
C Q 8 7 6 2
Table S A 9 8 6 5 4
H 3
D Q 5 4 3
C 5 4
3 NT S → 7
3 S× E → 4 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


714. S 10 8 6
H K 4 3
D Q 8 3
C Q 9 7 4
S 4
H Q 8 7 6 2
D K 10 5
C 10 5 3 2
Table S A J 9 7 5 3 2
H 5
D 7 4
C J 8 6
3 NT S → 11 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


784. S J 10 3
H 6 4 2
D Q 10 7 3
C J 9 3
S 4
H K Q 5
D K 8 4
C Q 7 6 5 4 2
Table S A 9 8 7 6 5 2
H 8 7 3
D 5
C 10 8
3 NT S → 9 +
5 D N → 8
S K Q
H A J 10 9
D A J 9 6 2
C A K


792. S 9 5 2
H 7 6 5
D Q 8
C Q 9 6 4 3
S 6
H K Q 3
D K 10 4
C J 10 8 7 5 2
Table S A J 10 8 7 4 3
H 8 4 2
D 7 5 3
C
3 NT S → 9 +
4 D S → 6
S K Q
H A J 10 9
D A J 9 6 2
C A K


984. S 10 7 4 3 2
H Q
D 10 8 4 3
C 7 4 2
S
H K 6 4 2
D K 7 5
C Q 10 9 6 5 3
Table S A J 9 8 6 5
H 8 7 5 3
D Q
C J 8
3 NT S → 8
3 S× E → 4 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


1023. S 8 6
H K 5
D 8 7 3
C Q J 6 5 4 3
S 10 3
H Q 8 6 4 2
D K Q 5 4
C 10 7
Table S A J 9 7 5 4 2
H 7 3
D 10
C 9 8 2
3 NT S → 11 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


1082. S A 9 7 3 2
H 3 2
D 8 7 4
C 10 9 2
S
H Q 6 4
D K 10 5 3
C Q J 8 7 5 4
Table S J 10 8 6 5 4
H K 8 7 5
D Q
C 6 3
3 NT S → 7
3 S× E → 4 +
S K Q
H A J 10 9
D A J 9 6 2
C A K

Simulation 8Z27   MainTop   Three Notrump or Double?

1304. S A 8 7 3
H Q 7
D Q 7
C 9 8 7 5 2
S
H K 5 2
D K 10 5 4
C Q J 10 6 4 3
Table S J 10 9 6 5 4 2
H 8 6 4 3
D 8 3
C
3 NT S → 10 +
5 D S → 7
S K Q
H A J 10 9
D A J 9 6 2
C A K


1668. S 9 4 3 2
H Q
D Q 7 5 4
C 10 8 7 5
S 8
H K 8 4 3
D K 10 3
C Q J 9 6 2
Table S A J 10 7 6 5
H 7 6 5 2
D 8
C 4 3
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


1910. S J 9 8 2
H Q 4 3
D Q 7 4
C 8 7 2
S
H K 7 6 2
D K 10 8 5
C Q J 5 4 3
Table S A 10 7 6 5 4 3
H 8 5
D 3
C 10 9 6
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


1973. S A 8 7 6 3
H 7 4
D 10 8 4 3
C Q 9
S
H Q 8 6 3 2
D K Q 5
C J 8 7 4 3
Table S J 10 9 5 4 2
H K 5
D 7
C 10 6 5 2
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


2115. S J
H K 6 2
D K 7
C 10 9 7 6 5 4 2
S 8 7 6 3
H Q 7
D 8 4 3
C Q J 8 3
Table S A 10 9 5 4 2
H 8 5 4 3
D Q 10 5
C
3 NT S → 12 +
5 C N → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


2264. S J 5 3 2
H K 8
D 7 5
C Q 10 8 6 3
S 7
H Q 7 6 5 2
D K Q 10 8 3
C 9 2
Table S A 10 9 8 6 4
H 4 3
D 4
C J 7 5 4
3 NT S → 9 +
5 D S → 8
S K Q
H A J 10 9
D A J 9 6 2
C A K


2366. S 10 7 6 5
H K 7
D 10 8 5
C 7 5 3 2
S 2
H Q 5 4
D K Q 7 3
C Q 10 9 8 4
Table S A J 9 8 4 3
H 8 6 3 2
D 4
C J 6
3 NT S → 8
3 S× E → 4 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


2525. S 9 8 6 5 3
H 5 4 3 2
D K 5 4
C 6
S
H K Q 8
D Q 10 8 3
C Q 10 8 5 3 2
Table S A J 10 7 4 2
H 7 6
D 7
C J 9 7 4
3 NT S → 6
3 S× E → 6 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


2545. S J 9 7 6 3
H 8 6 3 2
D Q 8 5
C 4
S
H K Q 5 4
D K 10 4
C J 8 7 6 3 2
Table S A 10 8 5 4 2
H 7
D 7 3
C Q 10 9 5
3 NT S → 7
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


2577. S 7 4 3
H K 8
D Q 10 4
C Q 9 5 3 2
S 2
H Q 6 5 2
D K 7 5 3
C J 8 7 4
Table S A J 10 9 8 6 5
H 7 4 3
D 8
C 10 6
3 NT S → 11 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K

Simulation 8Z27   MainTop   Three Notrump or Double?

2612. S 9 7 5 2
H 7 4
D Q 10
C Q J 8 4 2
S A
H Q 6 3
D K 7 4
C 10 9 7 6 5 3
Table S J 10 8 6 4 3
H K 8 5 2
D 8 5 3
C
3 NT S → 10 +
4 D S → 7
S K Q
H A J 10 9
D A J 9 6 2
C A K


2986. S J 9 5
H Q 5 3
D K Q 8
C 9 8 3 2
S 4
H K 7 6 4 2
D 7 5
C 10 7 6 5 4
Table S A 10 8 7 6 3 2
H 8
D 10 4 3
C Q J
3 NT S → 11 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


3033. S 10 5
H K 6 3
D Q 5
C J 10 9 5 4 3
S A 7
H Q 8 7 5 2
D K 10 8 7 3
C 7
Table S J 9 8 6 4 3 2
H 4
D 4
C Q 8 6 2
3 NT S → 10 +
5 C N → 9
S K Q
H A J 10 9
D A J 9 6 2
C A K


3135. S 9 7
H Q 8 7
D K 7 5
C Q 10 7 4 3
S J 6 5
H 6 4 3 2
D Q 10 8 4
C J 9
Table S A 10 8 4 3 2
H K 5
D 3
C 8 6 5 2
3 NT S → 12 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


3395. S J 10 9 5 3
H K 7 2
D K 5
C Q 10 8
S
H 8 4
D Q 10 8 7 4
C J 9 7 5 4 2
Table S A 8 7 6 4 2
H Q 6 5 3
D 3
C 6 3
3 NT S → 12
3 S× E → 2 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


3423. S 9 8 3
H 8 4 3 2
D Q 8
C Q J 8 6
S 10
H K Q 6 5
D K 10 5 3
C 10 7 5 4
Table S A J 7 6 5 4 2
H 7
D 7 4
C 9 3 2
3 NT S → 9 +
4 H N → 8
S K Q
H A J 10 9
D A J 9 6 2
C A K


3639. S J 9 8 7 4
H 5 2
D 7 5 3
C Q 10 5
S
H K 8 6 4 3
D K Q 10 8
C 9 6 3 2
Table S A 10 6 5 3 2
H Q 7
D 4
C J 8 7 4
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


3834. S J 10 7 6
H 8 7 4 2
D K 5 4
C 9 7
S 5
H K 6 5 3
D Q 10 3
C J 10 5 4 3
Table S A 9 8 4 3 2
H Q
D 8 7
C Q 8 6 2
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


3873. S J 7 5 4
H Q 8 6 3
D 5
C 10 6 5 4
S 2
H K 7 5 4 2
D K 10 8 3
C Q 9 3
Table S A 10 9 8 6 3
H
D Q 7 4
C J 8 7 2
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


3960. S A 8 7 2
H 6 5 3
D 7 4
C 7 5 4 3
S 9
H K 7
D Q 8 5 3
C Q 10 9 8 6 2
Table S J 10 6 5 4 3
H Q 8 4 2
D K 10
C J
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K

Simulation 8Z27   MainTop   Three Notrump or Double?

4157. S J 3 2
H K 3
D 10 8 5
C Q J 10 7 5
S 10 7
H Q 7 2
D Q 4 3
C 9 8 6 4 2
Table S A 9 8 6 5 4
H 8 6 5 4
D K 7
C 3
3 NT S → 11 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


4410. S J 9 7 6 3
H K 3
D 8 7 5 4
C Q 7
S
H Q 7 5 4 2
D K Q 10
C J 8 6 3 2
Table S A 10 8 5 4 2
H 8 6
D 3
C 10 9 5 4
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


4661. S A 10 8 6
H 8 5 4
D 8 4 3
C 7 6 4
S
H Q 6 2
D K Q 10 7
C Q 9 8 5 3 2
Table S J 9 7 5 4 3 2
H K 7 3
D 5
C J 10
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


4857. S J 8 6 2
H K 6
D Q 3
C J 10 8 4 3
S 9
H 8 5 4 3
D K 10
C Q 9 7 6 5 2
Table S A 10 7 5 4 3
H Q 7 2
D 8 7 5 4
C
3 NT S → 11 +
5 D S → 8
S K Q
H A J 10 9
D A J 9 6 2
C A K


5054. S J 10 9 8 7
H K 4
D K Q 8
C Q J 8
S
H 7 6 3 2
D 10 7 5 4 3
C 10 7 6 2
Table S A 6 5 4 3 2
H Q 8 5
D
C 9 5 4 3
3 NT S → 12
3 S× E → 2 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


5481. S 7 6 5 3
H Q 2
D K Q 10 7
C Q 10 9
S 4
H K 6 3
D 8 5 4 3
C J 8 6 5 2
Table S A J 10 9 8 2
H 8 7 5 4
D
C 7 4 3
3 NT S → 11 +
5 D N → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


5644. S 8 5 4
H Q 5 3 2
D Q 7 4
C Q 10 6
S J
H K 4
D K 10 8 5 3
C J 8 7 5 4
Table S A 10 9 7 6 3 2
H 8 7 6
D
C 9 3 2
3 NT S → 9 +
4 H N → 8
S K Q
H A J 10 9
D A J 9 6 2
C A K


5965. S A 9 4 2
H 8 7 5 3
D 8 5
C J 10 9
S 8
H K Q 4 2
D K 3
C Q 7 5 4 3 2
Table S J 10 7 6 5 3
H 6
D Q 10 7 4
C 8 6
3 NT S → 8
3 S× E → 4 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


6009. S J 8 5
H 8 7
D Q 10
C J 9 8 7 5 4
S 3 2
H K 6 2
D K 8 5
C Q 10 6 3 2
Table S A 10 9 7 6 4
H Q 5 4 3
D 7 4 3
C
3 NT S → 9 +
4 D S → 7
S K Q
H A J 10 9
D A J 9 6 2
C A K


6347. S J 10 7 6
H Q 7 6 4
D 8
C 10 5 4 2
S 3
H K 8 5 3 2
D K 10 7 4
C Q 8 3
Table S A 9 8 5 4 2
H
D Q 5 3
C J 9 7 6
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K

Simulation 8Z27   MainTop   Three Notrump or Double?

6385. S 10 9 7 6
H 8
D Q 7 4 3
C J 8 7 6
S 8
H K Q 6 2
D K 10 8 5
C Q 5 4 3
Table S A J 5 4 3 2
H 7 5 4 3
D
C 10 9 2
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


6490. S 8 4 3 2
H K Q 3
D 8 4 3
C 9 6 3
S J
H 7 2
D K Q 10 7
C Q 10 8 5 4 2
Table S A 10 9 7 6 5
H 8 6 5 4
D 5
C J 7
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


6782. S J 10 6 5
H Q 4
D 7 5 4 3
C 9 7 3
S 2
H K 7 5
D K Q 10
C Q 10 8 5 4 2
Table S A 9 8 7 4 3
H 8 6 3 2
D 8
C J 6
3 NT S → 7
3 S× E → 4 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


6820. S J 5 4 3
H 8
D Q 10 7 3
C 9 8 6 2
S 7
H K 7 4 2
D K 8 5 4
C Q J 5 3
Table S A 10 9 8 6 2
H Q 6 5 3
D
C 10 7 4
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


7270. S 9 7 6 4
H 4 2
D K 8
C Q 9 8 5 4
S 2
H K Q 6
D Q 10 3
C J 10 7 6 3 2
Table S A J 10 8 5 3
H 8 7 5 3
D 7 5 4
C
3 NT S → 9 +
4 D S → 7
S K Q
H A J 10 9
D A J 9 6 2
C A K


7298. S 10 7 6 3
H K Q
D 7 3
C 10 7 6 5 3
S
H 8 7 6 5 3
D K Q 10
C Q J 9 4 2
Table S A J 9 8 5 4 2
H 4 2
D 8 5 4
C 8
3 NT S → 9 +
4 H N → 7
S K Q
H A J 10 9
D A J 9 6 2
C A K


7384. S 8 7
H K 6
D 7 5 3
C J 7 6 4 3 2
S A 6
H Q 8 7 5 4 3
D K Q
C 10 9 8
Table S J 10 9 5 4 3 2
H 2
D 10 8 4
C Q 5
3 NT S → 11 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


7641. S 9 8 7 4
H Q 7 5 3
D Q
C 7 5 4 2
S 2
H K 6 4 2
D K 10 4
C Q J 10 8 3
Table S A J 10 6 5 3
H 8
D 8 7 5 3
C 9 6
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


7687. S A 9 8 5 2
H Q 6
D 7 4 3
C 10 7 4
S
H K 5 2
D Q 10 8 5
C J 9 8 6 5 3
Table S J 10 7 6 4 3
H 8 7 4 3
D K
C Q 2
3 NT S → 9
3 S× E → 3 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


7806. S 10 9 7 6 5
H Q 7 4
D K 3
C 10 6 5
S
H K 6 5 3
D Q 10 7 5 4
C Q J 8 2
Table S A J 8 4 3 2
H 8 2
D 8
C 9 7 4 3
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K

Simulation 8Z27   MainTop   Three Notrump or Double?

7874. S J 8 7 5 4
H 8 7
D K 4 3
C 7 4 2
S
H K Q 4
D Q 10 8 5
C J 10 9 8 6 5
Table S A 10 9 6 3 2
H 6 5 3 2
D 7
C Q 3
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


8442. S J 10 6 3
H 7 5
D Q 3
C Q 10 8 6 4
S 4
H K 8 3
D K 8 7
C J 9 7 5 3 2
Table S A 9 8 7 5 2
H Q 6 4 2
D 10 5 4
C
3 NT S → 9 +
4 D S → 7
S K Q
H A J 10 9
D A J 9 6 2
C A K


8488. S J 4 2
H 8 4
D 8 7 5 4
C Q J 6 3
S 3
H K 6 5 3
D K Q 10 3
C 9 8 7 2
Table S A 10 9 8 7 6 5
H Q 7 2
D
C 10 5 4
3 NT S → 9 +
5 D N → 8
S K Q
H A J 10 9
D A J 9 6 2
C A K


8493. S 9 7
H K Q 7
D Q 7 4
C Q 10 9 8 4
S A 6 4
H 8 6 4 3 2
D 5
C 7 6 5 3
Table S J 10 8 5 3 2
H 5
D K 10 8 3
C J 2
3 NT S → 12 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


8642. S 7
H K 5
D 10 8 5
C J 10 9 6 5 4 3
S A 9 2
H Q 8 7 4
D K Q 7 4
C 8 7
Table S J 10 8 6 5 4 3
H 6 3 2
D 3
C Q 2
3 NT S → 11 +
5 D S → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


8701. S 10 8 4
H 8 2
D K Q 8 3
C J 10 3 2
S J
H K 7 6 5 3
D 10 7 4
C Q 8 6 5
Table S A 9 7 6 5 3 2
H Q 4
D 5
C 9 7 4
3 NT S → 11 +
5 D N → 10
S K Q
H A J 10 9
D A J 9 6 2
C A K


8759. S J 8 4
H 6 5
D Q 10 4
C Q 9 6 3 2
S 6
H Q 7 4 3 2
D K 8 7
C J 8 7 4
Table S A 10 9 7 5 3 2
H K 8
D 5 3
C 10 5
3 NT S → 10 +
5 D S → 9
S K Q
H A J 10 9
D A J 9 6 2
C A K


9498. S 10 8 5 3
H 6
D K 8 5 4
C 6 5 4 2
S 7
H K Q 8 7
D Q 10 7 3
C Q 10 8 7
Table S A J 9 6 4 2
H 5 4 3 2
D
C J 9 3
3 NT S → 8
3 S× E → 5 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9663. S 10 6 4
H Q 6 4
D K 8
C Q 10 9 6 4
S 8
H K 8 7 5
D Q 10 7 5 3
C J 7 3
Table S A J 9 7 5 3 2
H 3 2
D 4
C 8 5 2
3 NT S → 11 +
5 D S → 9
S K Q
H A J 10 9
D A J 9 6 2
C A K


9967. S J 4 3
H K 6
D 10 5 3
C Q 9 8 7 4
S 2
H Q 8 4 3 2
D K Q 8 4
C J 6 3
Table S A 10 9 8 7 6 5
H 7 5
D 7
C 10 5 2
3 NT S → 10 +
5 D S → 9
S K Q
H A J 10 9
D A J 9 6 2
C A K

Simulation 8Z27   MainTop   Three Notrump or Double?

9981. S 9
H K 8 5 4
D Q 5
C Q J 10 9 6 4
S A 7 3
H 7 3
D K 10 8 3
C 8 5 3 2
Table S J 10 8 6 5 4 2
H Q 6 2
D 7 4
C 7
3 NT S → 12 +
4 H N → 11
S K Q
H A J 10 9
D A J 9 6 2
C A K


9982. S 4 2
H Q 8 7 2
D K 7 4
C J 9 8 4
S J 9 6
H K 6 5 4 3
D 10
C Q 10 5 3
Table S A 10 8 7 5 3
H
D Q 8 5 3
C 7 6 2
3 NT S → 7
4 H N → 9 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9983. S 8 7
H K 7 5 3 2
D Q 8 7
C J 9 7
S A 5
H Q 6
D 10 5 3
C Q 8 5 4 3 2
Table S J 10 9 6 4 3 2
H 8 4
D K 4
C 10 6
3 NT S → 12 +
4 H N → 12
S K Q
H A J 10 9
D A J 9 6 2
C A K


9984. S A 2
H Q 7 4
D Q 7 4 3
C Q 10 9 4
S 9 5 4
H K 6 5 2
D 10 8 5
C 8 7 5
Table S J 10 8 7 6 3
H 8 3
D K
C J 6 3 2
3 NT S → 12 +
3 NT N → 12 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9985. S 6 4
H K 8 7 6 3
D Q 4
C Q 8 3 2
S 10 7 2
H 5 4 2
D K 7
C J 10 7 6 5
Table S A J 9 8 5 3
H Q
D 10 8 5 3
C 9 4
3 NT S → 10
4 H N → 11 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9986. S 9 3
H 7 4 2
D Q 8 7 3
C J 9 6 3
S J 7 5
H K 8 6 5 3
D K 10
C 8 7 2
Table S A 10 8 6 4 2
H Q
D 5 4
C Q 10 5 4
3 NT S → 7
5 D N → 10 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9987. S 7 3
H K Q 7
D Q 10 7 3
C Q J 9 7
S 10 5
H 8 4 3 2
D K 8 4
C 8 6 3 2
Table S A J 9 8 6 4 2
H 6 5
D 5
C 10 5 4
3 NT S → 10 +
5 D N → 11
S K Q
H A J 10 9
D A J 9 6 2
C A K


9988. S 10 6
H K Q 4 3 2
D Q 7 4
C 6 4 2
S 8 7 4
H 8
D K 10 8 5 3
C Q J 10 3
Table S A J 9 5 3 2
H 7 6 5
D
C 9 8 7 5
3 NT S → 9
4 H N → 11 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9989. S J 8 3
H Q 4 3
D K Q 10 8
C J 3 2
S 9 2
H K 8 6 2
D 5 4 3
C 10 8 7 6
Table S A 10 7 6 5 4
H 7 5
D 7
C Q 9 5 4
3 NT S → 10 +
5 D N → 11
S K Q
H A J 10 9
D A J 9 6 2
C A K


9990. S J 10 4
H 8 7 3
D K 5 3
C 9 8 6 5
S 7 3
H K 6
D 10 8 7 4
C Q J 4 3 2
Table S A 9 8 6 5 2
H Q 5 4 2
D Q
C 10 7
3 NT S → 10 +
4 D S → 9
S K Q
H A J 10 9
D A J 9 6 2
C A K

Simulation 8Z27   MainTop   Three Notrump or Double?

9991. S 4
H 7 5 2
D K 10 4 3
C Q J 10 6 4
S J 3 2
H K 8 6 4 3
D 7
C 9 8 3 2
Table S A 10 9 8 7 6 5
H Q
D Q 8 5
C 7 5
3 NT S → 12 +
5 D S → 12
S K Q
H A J 10 9
D A J 9 6 2
C A K


9992. S
H 6 4 2
D K 10 8 4
C 10 9 8 7 5 4
S J 9 6 2
H K Q 8
D Q 3
C Q J 3 2
Table S A 10 8 7 5 4 3
H 7 5 3
D 7 5
C 6
3 NT S → 9
5 D S → 12 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9993. S 10 7 5 4
H K Q 4
D 10 3
C 10 8 5 2
S J
H 8 7 5 3 2
D K Q 8 4
C J 9 7
Table S A 9 8 6 3 2
H 6
D 7 5
C Q 6 4 3
3 NT S → 9
3 S× E → 6 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9994. S A J 3
H Q 6 4 3
D K 8
C Q 10 9 7
S 2
H K 7 5 2
D Q 5
C J 6 5 4 3 2
Table S 10 9 8 7 6 5 4
H 8
D 10 7 4 3
C 8
3 NT S → 12 +
4 H N → 12
S K Q
H A J 10 9
D A J 9 6 2
C A K


9995. S 8 6 5
H Q 8 6 5
D 10 7
C Q J 10 2
S J 10
H K 7 3 2
D K Q 4 3
C 8 7 5
Table S A 9 7 4 3 2
H 4
D 8 5
C 9 6 4 3
3 NT S → 7
4 H N → 10 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9996. S 5
H K 6 2
D Q 4 3
C J 10 9 8 7 6
S A 9 4
H Q 8 7 4
D 10 8 7 5
C 4 3
Table S J 10 8 7 6 3 2
H 5 3
D K
C Q 5 2
3 NT S → 10 +
5 D S → 11
S K Q
H A J 10 9
D A J 9 6 2
C A K


9997. S 9 5
H K 8 7 5 4 2
D Q 4
C 9 7 3
S J 6
H 6 3
D K 10 7
C Q J 10 8 6 5
Table S A 10 8 7 4 3 2
H Q
D 8 5 3
C 4 2
3 NT S → 10
4 H N → 11 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9998. S 8 3
H K 7 5 4 3
D 5 3
C J 6 5 2
S J 6
H 8 6
D K Q 4
C Q 10 8 7 4 3
Table S A 10 9 7 5 4 2
H Q 2
D 10 8 7
C 9
3 NT S → 8
4 H N → 11 +
S K Q
H A J 10 9
D A J 9 6 2
C A K


9999. S 7 6 3
H 8 7 6 5
D K 5 4
C Q 7 5
S A 2
H Q 4 3 2
D 7
C J 9 8 6 4 3
Table S J 10 9 8 5 4
H K
D Q 10 8 3
C 10 2
3 NT S → 11 +
4 H N → 11
S K Q
H A J 10 9
D A J 9 6 2
C A K


10000. S 10 6 5
H K 8 7 6 4 3 2
D Q
C J 4
S J 8
H 5
D K 10 7 5 3
C Q 9 8 3 2
Table S A 9 7 4 3 2
H Q
D 8 4
C 10 7 6 5
3 NT S → 12 +
4 H N → 12
S K Q
H A J 10 9
D A J 9 6 2
C A K

Simulation 8Z27   MainTop   Three Notrump or Double?

© 2018 Richard Pavlicek