Simulation 8Z27   Main

# Three Notrump or Double?

by Richard Pavlicek

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

 WESTPass NorthPass East3 South? You (South) K Q A J 10 9 A J 9 6 2 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 , you will presumably continue with 4 , 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 , 5  or 5 ; South might be declarer in 4  or 5 ; and East might be left to play 3 ×. To avoid further complication, slam possibilities will be ignored, as will the remote chance of West raising to 4 .

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  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 ×.) 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 K-10-x-x (opp. your 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. J Q 8 7 3 K Q 7 4 J 9 7 3 8 4 3 2 K 4 10 8 5 3 Q 10 8 A 10 9 7 6 5 6 5 2 — 6 5 4 2 3 NT S → 94 N → 10 + K Q A J 10 9 A J 9 6 2 A K

 2. 8 4 3 8 6 3 K 5 4 J 10 8 4 J 10 K 2 Q 10 8 7 3 Q 9 5 2 A 9 7 6 5 2 Q 7 5 4 — 7 6 3 3 NT S → 7 +4 S → 8 + K Q A J 10 9 A J 9 6 2 A K

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

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

 5. J 10 3 2 8 5 3 2 Q 10 7 5 8 6 Q 7 6 4 K 8 Q J 10 9 7 3 A 9 8 7 5 4 K 4 3 6 5 4 2 3 NT S → 73 × E → 6 + K Q A J 10 9 A J 9 6 2 A K

 6. 10 8 2 7 6 5 7 3 Q 9 8 4 3 7 5 K Q 4 2 K 10 8 5 4 10 7 A J 9 6 4 3 8 3 Q J 6 5 2 3 NT S → 54 S → 7 + K Q A J 10 9 A J 9 6 2 A K

 7. A J 6 2 K 5 4 2 7 10 7 6 2 — Q 8 7 6 3 K Q 10 5 4 J 5 4 10 9 8 7 5 4 3 — 8 3 Q 9 8 3 3 NT S → 113 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 8. A 8 4 3 K 7 5 4 K 9 8 5 4 7 Q 8 6 2 Q 8 7 5 4 J 10 3 J 10 9 6 5 2 3 10 3 Q 7 6 2 3 NT S → 123 × E → 4 + K Q A J 10 9 A J 9 6 2 A K

 9. A 7 Q 8 3 2 Q 3 J 7 4 3 2 5 4 K 7 6 4 10 8 7 5 10 9 8 J 10 9 8 6 3 2 5 K 4 Q 6 5 3 NT S → 104 N → 12 + K Q A J 10 9 A J 9 6 2 A K

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

 Simulation 8Z27   Main Top   Three Notrump or Double?

 11. 9 8 7 5 8 7 6 3 5 3 J 10 6 J K Q 4 K 7 Q 8 7 5 4 3 2 A 10 6 4 3 2 5 2 Q 10 8 4 9 3 NT S → 63 × E → 7 + K Q A J 10 9 A J 9 6 2 A K

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

 13. 8 Q 7 3 10 8 4 3 J 10 9 8 2 J 6 4 K 8 5 4 K Q 7 7 6 5 A 10 9 7 5 3 2 6 2 5 Q 4 3 3 NT S → 64 S → 9 + K Q A J 10 9 A J 9 6 2 A K

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

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

 16. — K Q 5 3 Q 10 4 J 7 5 4 3 2 6 5 4 2 8 6 4 2 K 5 Q 8 6 A J 10 9 8 7 3 7 8 7 3 10 9 3 NT S → 84 N → 12 + K Q A J 10 9 A J 9 6 2 A K

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

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

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

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

 Simulation 8Z27   Main Top   Three Notrump or Double?

 158. J 10 7 2 K 3 8 7 3 10 8 3 2 6 Q 8 5 4 2 K Q 10 4 J 5 4 A 9 8 5 4 3 7 6 5 Q 9 7 6 3 NT S → 83 × E → 4 + K Q A J 10 9 A J 9 6 2 A K

 304. J 6 3 2 8 6 5 4 4 Q 10 3 2 7 K Q 7 2 K 10 8 7 3 7 5 4 A 10 9 8 5 4 3 Q 5 J 9 8 6 3 NT S → 73 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

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

 523. J 10 7 3 7 6 4 2 7 J 10 9 3 2 K Q 8 5 K 10 8 Q 8 7 6 2 A 9 8 6 5 4 3 Q 5 4 3 5 4 3 NT S → 73 × E → 4 + K Q A J 10 9 A J 9 6 2 A K

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

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

 792. 9 5 2 7 6 5 Q 8 Q 9 6 4 3 6 K Q 3 K 10 4 J 10 8 7 5 2 A J 10 8 7 4 3 8 4 2 7 5 3 — 3 NT S → 9 +4 S → 6 K Q A J 10 9 A J 9 6 2 A K

 984. 10 7 4 3 2 Q 10 8 4 3 7 4 2 — K 6 4 2 K 7 5 Q 10 9 6 5 3 A J 9 8 6 5 8 7 5 3 Q J 8 3 NT S → 83 × E → 4 + K Q A J 10 9 A J 9 6 2 A K

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

 1082. A 9 7 3 2 3 2 8 7 4 10 9 2 — Q 6 4 K 10 5 3 Q J 8 7 5 4 J 10 8 6 5 4 K 8 7 5 Q 6 3 3 NT S → 73 × E → 4 + K Q A J 10 9 A J 9 6 2 A K

 Simulation 8Z27   Main Top   Three Notrump or Double?

 1304. A 8 7 3 Q 7 Q 7 9 8 7 5 2 — K 5 2 K 10 5 4 Q J 10 6 4 3 J 10 9 6 5 4 2 8 6 4 3 8 3 — 3 NT S → 10 +5 S → 7 K Q A J 10 9 A J 9 6 2 A K

 1668. 9 4 3 2 Q Q 7 5 4 10 8 7 5 8 K 8 4 3 K 10 3 Q J 9 6 2 A J 10 7 6 5 7 6 5 2 8 4 3 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 1910. J 9 8 2 Q 4 3 Q 7 4 8 7 2 — K 7 6 2 K 10 8 5 Q J 5 4 3 A 10 7 6 5 4 3 8 5 3 10 9 6 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 1973. A 8 7 6 3 7 4 10 8 4 3 Q 9 — Q 8 6 3 2 K Q 5 J 8 7 4 3 J 10 9 5 4 2 K 5 7 10 6 5 2 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

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

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

 2366. 10 7 6 5 K 7 10 8 5 7 5 3 2 2 Q 5 4 K Q 7 3 Q 10 9 8 4 A J 9 8 4 3 8 6 3 2 4 J 6 3 NT S → 83 × E → 4 + K Q A J 10 9 A J 9 6 2 A K

 2525. 9 8 6 5 3 5 4 3 2 K 5 4 6 — K Q 8 Q 10 8 3 Q 10 8 5 3 2 A J 10 7 4 2 7 6 7 J 9 7 4 3 NT S → 63 × E → 6 + K Q A J 10 9 A J 9 6 2 A K

 2545. J 9 7 6 3 8 6 3 2 Q 8 5 4 — K Q 5 4 K 10 4 J 8 7 6 3 2 A 10 8 5 4 2 7 7 3 Q 10 9 5 3 NT S → 73 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

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

 Simulation 8Z27   Main Top   Three Notrump or Double?

 2612. 9 7 5 2 7 4 Q 10 Q J 8 4 2 A Q 6 3 K 7 4 10 9 7 6 5 3 J 10 8 6 4 3 K 8 5 2 8 5 3 — 3 NT S → 10 +4 S → 7 K Q A J 10 9 A J 9 6 2 A K

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

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

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

 3395. J 10 9 5 3 K 7 2 K 5 Q 10 8 — 8 4 Q 10 8 7 4 J 9 7 5 4 2 A 8 7 6 4 2 Q 6 5 3 3 6 3 3 NT S → 123 × E → 2 + K Q A J 10 9 A J 9 6 2 A K

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

 3639. J 9 8 7 4 5 2 7 5 3 Q 10 5 — K 8 6 4 3 K Q 10 8 9 6 3 2 A 10 6 5 3 2 Q 7 4 J 8 7 4 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 3834. J 10 7 6 8 7 4 2 K 5 4 9 7 5 K 6 5 3 Q 10 3 J 10 5 4 3 A 9 8 4 3 2 Q 8 7 Q 8 6 2 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 3873. J 7 5 4 Q 8 6 3 5 10 6 5 4 2 K 7 5 4 2 K 10 8 3 Q 9 3 A 10 9 8 6 3 — Q 7 4 J 8 7 2 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 3960. A 8 7 2 6 5 3 7 4 7 5 4 3 9 K 7 Q 8 5 3 Q 10 9 8 6 2 J 10 6 5 4 3 Q 8 4 2 K 10 J 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 Simulation 8Z27   Main Top   Three Notrump or Double?

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

 4410. J 9 7 6 3 K 3 8 7 5 4 Q 7 — Q 7 5 4 2 K Q 10 J 8 6 3 2 A 10 8 5 4 2 8 6 3 10 9 5 4 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 4661. A 10 8 6 8 5 4 8 4 3 7 6 4 — Q 6 2 K Q 10 7 Q 9 8 5 3 2 J 9 7 5 4 3 2 K 7 3 5 J 10 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

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

 5054. J 10 9 8 7 K 4 K Q 8 Q J 8 — 7 6 3 2 10 7 5 4 3 10 7 6 2 A 6 5 4 3 2 Q 8 5 — 9 5 4 3 3 NT S → 123 × E → 2 + K Q A J 10 9 A J 9 6 2 A K

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

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

 5965. A 9 4 2 8 7 5 3 8 5 J 10 9 8 K Q 4 2 K 3 Q 7 5 4 3 2 J 10 7 6 5 3 6 Q 10 7 4 8 6 3 NT S → 83 × E → 4 + K Q A J 10 9 A J 9 6 2 A K

 6009. J 8 5 8 7 Q 10 J 9 8 7 5 4 3 2 K 6 2 K 8 5 Q 10 6 3 2 A 10 9 7 6 4 Q 5 4 3 7 4 3 — 3 NT S → 9 +4 S → 7 K Q A J 10 9 A J 9 6 2 A K

 6347. J 10 7 6 Q 7 6 4 8 10 5 4 2 3 K 8 5 3 2 K 10 7 4 Q 8 3 A 9 8 5 4 2 — Q 5 3 J 9 7 6 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 Simulation 8Z27   Main Top   Three Notrump or Double?

 6385. 10 9 7 6 8 Q 7 4 3 J 8 7 6 8 K Q 6 2 K 10 8 5 Q 5 4 3 A J 5 4 3 2 7 5 4 3 — 10 9 2 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 6490. 8 4 3 2 K Q 3 8 4 3 9 6 3 J 7 2 K Q 10 7 Q 10 8 5 4 2 A 10 9 7 6 5 8 6 5 4 5 J 7 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 6782. J 10 6 5 Q 4 7 5 4 3 9 7 3 2 K 7 5 K Q 10 Q 10 8 5 4 2 A 9 8 7 4 3 8 6 3 2 8 J 6 3 NT S → 73 × E → 4 + K Q A J 10 9 A J 9 6 2 A K

 6820. J 5 4 3 8 Q 10 7 3 9 8 6 2 7 K 7 4 2 K 8 5 4 Q J 5 3 A 10 9 8 6 2 Q 6 5 3 — 10 7 4 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 7270. 9 7 6 4 4 2 K 8 Q 9 8 5 4 2 K Q 6 Q 10 3 J 10 7 6 3 2 A J 10 8 5 3 8 7 5 3 7 5 4 — 3 NT S → 9 +4 S → 7 K Q A J 10 9 A J 9 6 2 A K

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

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

 7641. 9 8 7 4 Q 7 5 3 Q 7 5 4 2 2 K 6 4 2 K 10 4 Q J 10 8 3 A J 10 6 5 3 8 8 7 5 3 9 6 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 7687. A 9 8 5 2 Q 6 7 4 3 10 7 4 — K 5 2 Q 10 8 5 J 9 8 6 5 3 J 10 7 6 4 3 8 7 4 3 K Q 2 3 NT S → 93 × E → 3 + K Q A J 10 9 A J 9 6 2 A K

 7806. 10 9 7 6 5 Q 7 4 K 3 10 6 5 — K 6 5 3 Q 10 7 5 4 Q J 8 2 A J 8 4 3 2 8 2 8 9 7 4 3 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 Simulation 8Z27   Main Top   Three Notrump or Double?

 7874. J 8 7 5 4 8 7 K 4 3 7 4 2 — K Q 4 Q 10 8 5 J 10 9 8 6 5 A 10 9 6 3 2 6 5 3 2 7 Q 3 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

 8442. J 10 6 3 7 5 Q 3 Q 10 8 6 4 4 K 8 3 K 8 7 J 9 7 5 3 2 A 9 8 7 5 2 Q 6 4 2 10 5 4 — 3 NT S → 9 +4 S → 7 K Q A J 10 9 A J 9 6 2 A K

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

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

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

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

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

 9498. 10 8 5 3 6 K 8 5 4 6 5 4 2 7 K Q 8 7 Q 10 7 3 Q 10 8 7 A J 9 6 4 2 5 4 3 2 — J 9 3 3 NT S → 83 × E → 5 + K Q A J 10 9 A J 9 6 2 A K

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

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

 Simulation 8Z27   Main Top   Three Notrump or Double?

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

 9982. 4 2 Q 8 7 2 K 7 4 J 9 8 4 J 9 6 K 6 5 4 3 10 Q 10 5 3 A 10 8 7 5 3 — Q 8 5 3 7 6 2 3 NT S → 74 N → 9 + K Q A J 10 9 A J 9 6 2 A K

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

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

 9985. 6 4 K 8 7 6 3 Q 4 Q 8 3 2 10 7 2 5 4 2 K 7 J 10 7 6 5 A J 9 8 5 3 Q 10 8 5 3 9 4 3 NT S → 104 N → 11 + K Q A J 10 9 A J 9 6 2 A K

 9986. 9 3 7 4 2 Q 8 7 3 J 9 6 3 J 7 5 K 8 6 5 3 K 10 8 7 2 A 10 8 6 4 2 Q 5 4 Q 10 5 4 3 NT S → 75 N → 10 + K Q A J 10 9 A J 9 6 2 A K

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

 9988. 10 6 K Q 4 3 2 Q 7 4 6 4 2 8 7 4 8 K 10 8 5 3 Q J 10 3 A J 9 5 3 2 7 6 5 — 9 8 7 5 3 NT S → 94 N → 11 + K Q A J 10 9 A J 9 6 2 A K

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

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

 Simulation 8Z27   Main Top   Three Notrump or Double?

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

 9992. — 6 4 2 K 10 8 4 10 9 8 7 5 4 J 9 6 2 K Q 8 Q 3 Q J 3 2 A 10 8 7 5 4 3 7 5 3 7 5 6 3 NT S → 95 S → 12 + K Q A J 10 9 A J 9 6 2 A K

 9993. 10 7 5 4 K Q 4 10 3 10 8 5 2 J 8 7 5 3 2 K Q 8 4 J 9 7 A 9 8 6 3 2 6 7 5 Q 6 4 3 3 NT S → 93 × E → 6 + K Q A J 10 9 A J 9 6 2 A K

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

 9995. 8 6 5 Q 8 6 5 10 7 Q J 10 2 J 10 K 7 3 2 K Q 4 3 8 7 5 A 9 7 4 3 2 4 8 5 9 6 4 3 3 NT S → 74 N → 10 + K Q A J 10 9 A J 9 6 2 A K

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

 9997. 9 5 K 8 7 5 4 2 Q 4 9 7 3 J 6 6 3 K 10 7 Q J 10 8 6 5 A 10 8 7 4 3 2 Q 8 5 3 4 2 3 NT S → 104 N → 11 + K Q A J 10 9 A J 9 6 2 A K

 9998. 8 3 K 7 5 4 3 5 3 J 6 5 2 J 6 8 6 K Q 4 Q 10 8 7 4 3 A 10 9 7 5 4 2 Q 2 10 8 7 9 3 NT S → 84 N → 11 + K Q A J 10 9 A J 9 6 2 A K

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

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

 Simulation 8Z27   Main Top   Three Notrump or Double?