Simulation 8Z27 Main
Three Notrump or Double?
by Richard PavlicekSimulation 8Z27 Main |
| by Richard Pavlicek |
At IMPs, East opens 3 
in third seat at favorable vulnerability. You hold:
| WEST Pass | North Pass | East 3 | 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.
| Option | Trick Average | Make Percent | Overtrick Percent |
|---|---|---|---|
| A. 3 NT S | 9.8018 | 74.17 | 58.08 |
| B. Double | 10.8331 | 79.86 | 51.16 |
| Comparison | Net W-L | Net Score | Net IMPs | Net Score | Net IMPs |
|---|---|---|---|---|---|
| B. Double vs. A. 3 NT S | -518 | +494110 | +10725 | +770360 | +13514 |
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 → 9 4 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 → 7 3 × 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 → 5 4 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 → 11 3 × 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 → 12 3 × 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 → 10 4 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 → 6 3 × 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 → 6 4 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 → 8 4 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 → 8 3 × 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 → 7 3 × 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 → 7 3 × 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 → 8 3 × 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 → 7 3 × 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 → 8 3 × 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 → 8 3 × 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 → 8 3 × 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 → 8 3 × 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 → 6 3 × 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 → 7 3 × 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 → 12 3 × 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 → 8 3 × 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 → 8 3 × 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 → 8 3 × 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 → 8 3 × 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 → 8 3 × 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 → 8 3 × 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 → 12 3 × 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 → 8 3 × 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 → 8 3 × 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 → 8 3 × 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 → 8 3 × 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 → 7 3 × 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 → 8 3 × 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 → 8 3 × 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 → 9 3 × 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 → 8 3 × 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 → 8 3 × 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 → 8 3 × 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 → 7 4 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 → 10 4 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 → 7 5 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 → 9 4 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 → 9 5 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 → 9 3 × 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 → 7 4 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 → 10 4 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 → 8 4 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? |
© 2018 Richard Pavlicek