Simulation 8Z34 Main
Notrump or 5-3 Major?
by Richard PavlicekSimulation 8Z34 Main |
| by Richard Pavlicek |
In Part I South’s red suits were 
A-8-2 
K-J-7-5, and a simulation showed 4 
to be slightly better than 3 NT. Based on experience I suspected this was due to the primary nature of South’s holding in North’s most likely short suit (hearts); hence this follow-up with K-8-2 A-J-7-5. Will it make a difference? Let’s find out.
The auction is identical, North offering a choice between 3 NT and 4 after a Jacoby transfer:
| West Pass Pass | North 2 3 NT | East Pass Pass | South 1 NT 2 ? | Q 10 4 K 8 2 A J 7 5 K Q 3 |
So which way do you go this time? Place your bets while I spin the wheel!
To compare options, I created 10,000 random deals with the South hand fixed and these constraints: North, 10-15 revalued points, five spades, 1-3 hearts, 1-4 diamonds, 1-4 clubs, at most one worthless doubleton (not Jx or better) and no singleton (except A/K/Q); West and East, balanced or fewer than six playing tricks, and East lacking Q-J-10-x-x or better (else would usually double the artificial 2 ). Results are determined with double-dummy play by both sides.
Results are shown below. Make Percent shows how often the contract is made, which includes cases with overtrick(s). Overtrick Percent shows how often one or more overtricks are made. Win Percent shows the winner at matchpoints or board-a-match; over 50 percent wins. Trick Average shows the average number of tricks won by declarer. The second table compares the contracts at total points and IMPs, first with declarer nonvul (green) then with declarer vul (red). Plus values indicate a gain for 3 NT; minus values, a loss. Totals for 10,000 deals are on the bottom row.
Wow! The difference is even greater than I thought. Not only is 3 NT now the favorite, but an overwhelming one with a win percent of 57.54 and gaining 5487 IMPs vulnerable (4116 nonvul). Evidently the nature of South’s heart holding is a key factor in choosing the best game.
I may explore this intriguing situation further, but for now I’m convinced to go with 3 NT whenever in doubt. Another factor in its favor is my study of Actual Play vs. Double-Dummy, which shows that 3 NT makes 4.28 percent more often in actual play than double-dummy, whereas 4 fares only 1.48 percent better. No doubt this is because the opening lead against 3 NT is generally more crucial than against 4 .
| Contract | Make Percent | Overtrick Percent | Win Percent | Trick Average |
|---|---|---|---|---|
| 3 NT | 80.44 | 51.64 | 57.54 | 9.5112 |
| 4 | 73.01 | 34.04 | 42.46 | 10.0724 |
| Swing | IMPs | Times | Net Score | Net IMPs | Swing | IMPs | Times | Net Score | Net IMPs |
|---|---|---|---|---|---|---|---|---|---|
| +630 | +12 | 1 | +630 | +12 | +1030 | +14 | 1 | +1030 | +14 |
| +580 | +11 | 4 | +2320 | +44 | +930 | +14 | 4 | +3720 | +56 |
| +560 | +11 | 1 | +560 | +11 | +900 | +14 | 4 | +3600 | +56 |
| +550 | +11 | 4 | +2200 | +44 | +860 | +13 | 1 | +860 | +13 |
| +530 | +11 | 9 | +4770 | +99 | +830 | +13 | 9 | +7470 | +117 |
| +510 | +11 | 13 | +6630 | +143 | +800 | +13 | 58 | +46400 | +754 |
| +500 | +11 | 58 | +29000 | +638 | +760 | +13 | 13 | +9880 | +169 |
| +480 | +10 | 179 | +85920 | +1790 | +730 | +12 | 179 | +130670 | +2148 |
| +450 | +10 | 1106 | +497700 | +11060 | +700 | +12 | 1106 | +774200 | +13272 |
| +100 | +3 | 10 | +1000 | +30 | +200 | +5 | 10 | +2000 | +50 |
| +70 | +2 | 2 | +140 | +4 | +100 | +3 | 169 | +16900 | +507 |
| +50 | +2 | 169 | +8450 | +338 | +70 | +2 | 2 | +140 | +4 |
| +40 | +1 | 166 | +6640 | +166 | +40 | +1 | 166 | +6640 | +166 |
| +10 | 0 | 3590 | +35900 | 0 | +10 | 0 | 3590 | +35900 | 0 |
| 0 | 0 | 885 | 0 | 0 | 0 | 0 | 885 | 0 | 0 |
| -20 | -1 | 2589 | -51780 | -2589 | -20 | -1 | 2589 | -51780 | -2589 |
| -50 | -2 | 540 | -27000 | -1080 | -50 | -2 | 322 | -16100 | -644 |
| -100 | -3 | 39 | -3900 | -117 | -100 | -3 | 218 | -21800 | -654 |
| -150 | -4 | 3 | -450 | -12 | -200 | -5 | 39 | -7800 | -195 |
| -470 | -10 | 487 | -228890 | -4870 | -300 | -7 | 3 | -900 | -21 |
| -500 | -11 | 56 | -28000 | -616 | -720 | -12 | 487 | -350640 | -5844 |
| -520 | -11 | 81 | -42120 | -891 | -750 | -13 | 56 | -42000 | -728 |
| -550 | -11 | 1 | -550 | -11 | -820 | -13 | 81 | -66420 | -1053 |
| -570 | -11 | 7 | -3990 | -77 | -850 | -13 | 1 | -850 | -13 |
| -920 | -14 | 7 | -6440 | -98 | |||||
| Totals | 10000 | +295180 | +4116 | Totals | 10000 | +474680 | +5487 | ||
| Simulation 8Z34 Main |  | Top Notrump or 5-3 Major? |
Sample DealsBelow are 100 of the 10,000 deals, including the first 20 and last 20. The 60 selected deals in between cycle through optimal gains for each contract. Numbers show tricks won by declarer with double-dummy play.
| 1. | A J 6 3 2 10 7 5 9 6 2 A 10
| |
| K 5 Q J 9 4 K Q 4 J 7 6 2 |  | 9 8 7 A 6 3 10 8 3 9 8 5 4
|
| 3 NT → 10 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 2. | K J 5 3 2 A J 3 9 3 A 6 2
| |
| 9 6 Q 10 9 10 6 4 J 10 9 8 7 | | A 8 7 7 6 5 4 K Q 8 2 5 4
|
| 3 NT → 11 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 3. | A K J 8 7 Q 6 4 8 6 A 10 2
| |
| 6 5 3 A J 10 9 3 — J 9 8 5 4 | | 9 2 7 5 K Q 10 9 4 3 2 7 6
|
| 3 NT → 11 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 4. | A K J 8 7 A 9 10 8 6 3 10 7
| |
| 9 6 Q J 10 6 9 4 2 A 9 8 5 | | 5 3 2 7 5 4 3 K Q J 6 4 2
|
| 3 NT → 10 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 5. | A 9 8 5 3 A 10 5 K 10 9 J 2
| |
| J 2 J 4 3 Q 4 3 9 8 6 5 4 | | K 7 6 Q 9 7 6 8 6 2 A 10 7
|
| 3 NT → 10 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 6. | K 9 8 6 3 A Q 6 K 4 2 10 9
| |
| A 2 J 10 7 5 Q 8 J 8 6 5 4 | | J 7 5 9 4 3 10 9 6 3 A 7 2
|
| 3 NT → 11 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 7. | A 8 6 5 3 10 6 5 K A 9 8 7
| |
| 9 Q J 9 7 4 3 Q 10 3 2 5 4 | | K J 7 2 A 9 8 6 4 J 10 6 2
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 8. | K 9 8 7 5 A 9 6 K 9 9 8 4
| |
| A J 3 2 Q 7 3 10 8 4 A 7 5 | | 6 J 10 5 4 Q 6 3 2 J 10 6 2
|
| 3 NT → 10 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9. | A J 7 5 3 A 10 Q 10 2 8 7 2
| |
| K 9 8 Q J 6 5 K 9 8 A 10 4 | | 6 2 9 7 4 3 6 4 3 J 9 6 5
|
| 3 NT → 10 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 10. | J 9 8 6 5 A 10 3 K 8 J 7 2
| |
| A K 2 J 9 7 6 10 9 6 3 A 6 | | 7 3 Q 5 4 Q 4 2 10 9 8 5 4
|
| 3 NT → 9 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| Simulation 8Z34 Main | | Top Notrump or 5-3 Major? |
| 11. | A K J 8 5 J 6 3 10 9 2 J 4
| |
| 7 6 Q 10 9 7 5 Q 8 3 9 7 6 | | 9 3 2 A 4 K 6 4 A 10 8 5 2
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 12. | A J 9 6 5 Q J 8 6 4 A 9 5
| |
| 3 A 9 7 4 Q 10 9 2 J 10 8 4 | | K 8 7 2 10 6 5 3 K 3 7 6 2
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 13. | K 9 7 6 5 A J 6 K 10 9 J 6
| |
| A 8 3 Q 4 3 8 2 10 9 8 4 2 | | J 2 10 9 7 5 Q 6 4 3 A 7 5
|
| 3 NT → 11 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 14. | A K J 9 2 J 7 6 K 4 9 8 5
| |
| 8 7 5 A Q 4 Q 10 9 2 A 4 2 | | 6 3 10 9 5 3 8 6 3 J 10 7 6
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 15. | A K 8 3 2 10 5 4 Q 6 J 8 5
| |
| 9 7 5 A 9 6 K 2 A 10 9 4 2 | | J 6 Q J 7 3 10 9 8 4 3 7 6
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 16. | K J 9 5 3 Q 10 7 K 4 A 9 2
| |
| 7 6 2 A J 9 Q 10 8 6 2 10 8 | | A 8 6 5 4 3 9 3 J 7 6 5 4
|
| 3 NT → 11 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 17. | A K J 9 6 Q 7 6 8 6 10 9 7
| |
| 7 10 9 5 4 3 K 10 4 2 8 6 4 | | 8 5 3 2 A J Q 9 3 A J 5 2
|
| 3 NT → 9 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 18. | J 8 6 3 2 A 10 7 K 4 A 10 9
| |
| 9 9 6 5 3 Q 10 8 6 3 2 8 4 | | A K 7 5 Q J 4 9 J 7 6 5 2
|
| 3 NT → 10 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 19. | A 9 8 7 5 A J 10 K 9 8 6 2
| |
| K J 6 3 2 7 4 10 8 3 J 10 5 | | — Q 9 6 5 3 Q 6 4 2 A 9 7 4
|
| 3 NT → 11 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 20. | A K J 7 2 10 3 K 8 6 10 7 4
| |
| 9 8 6 A J 9 7 5 10 9 A 9 5 | | 5 3 Q 6 4 Q 4 3 2 J 8 6 2
|
| 3 NT → 10 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| Simulation 8Z34 Main | | Top Notrump or 5-3 Major? |
| 23. | A K 9 6 5 6 5 K Q 9 J 8 7
| |
| J 8 A J 10 7 10 8 4 2 9 5 2 | | 7 3 2 Q 9 4 3 6 3 A 10 6 4
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 28. | A 9 7 5 2 10 5 Q 4 3 A 10 2
| |
| 3 Q J 9 6 4 3 10 9 8 9 7 4 | | K J 8 6 A 7 K 6 2 J 8 6 5
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 30. | A J 7 3 2 A 5 Q 6 3 2 4 2
| |
| 8 6 5 J 10 4 10 8 A J 10 8 7 | | K 9 Q 9 7 6 3 K 9 4 9 6 5
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 31. | A J 9 7 5 A 10 Q 2 8 7 6 5
| |
| 8 3 2 Q J 7 6 4 3 K 8 4 4 | | K 6 9 5 10 9 6 3 A J 10 9 2
|
| 3 NT → 10 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 48. | K J 9 8 7 A 4 3 K Q 4 9 4
| |
| 6 3 2 Q 9 5 9 6 A 10 7 5 2 | | A 5 J 10 7 6 10 8 3 2 J 8 6
|
| 3 NT → 8 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 55. | A 8 7 6 5 A 10 7 8 3 2 10 7
| |
| J 9 Q J 5 4 3 Q 10 9 8 5 2 | | K 3 2 9 6 K 9 6 4 A J 6 4
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 67. | A K 6 5 2 10 3 K Q 9 10 6 2
| |
| J A Q 7 5 8 6 4 2 J 9 7 5 | | 9 8 7 3 J 9 6 4 10 3 A 8 4
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 74. | K J 9 8 7 J 6 10 9 2 A J 7
| |
| A 3 2 A Q 9 K 8 6 4 3 10 8 | | 6 5 10 7 5 4 3 Q 9 6 5 4 2
|
| 3 NT → 9 4 → 8 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 83. | A K 8 7 2 5 3 K 8 6 8 6 2
| |
| J 9 5 A J 7 4 10 4 2 J 10 4 | | 6 3 Q 10 9 6 Q 9 3 A 9 7 5
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 84. | K 9 7 3 2 A 4 Q 6 3 J 10 5
| |
| J 8 6 5 J 10 9 7 3 K 2 8 4 | | A Q 6 5 10 9 8 4 A 9 7 6 2
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| Simulation 8Z34 Main | | Top Notrump or 5-3 Major? |
| 85. | A 9 7 5 2 4 3 Q 4 A 8 5 2
| |
| K 8 A J 10 9 6 K 10 6 7 6 4 | | J 6 3 Q 7 5 9 8 3 2 J 10 9
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 90. | A 9 8 6 2 6 4 3 Q 8 A 9 6
| |
| K J 7 5 A J 7 6 4 J 10 4 2 | | 3 Q 10 9 5 K 10 9 3 2 8 7 5
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 96. | K J 6 3 2 6 5 K 10 6 2 A 7
| |
| 8 5 A Q 9 7 4 9 3 J 9 5 2 | | A 9 7 J 10 3 Q 8 4 10 8 6 4
|
| 3 NT → 7 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 105. | A J 9 8 7 10 3 4 3 2 A 6 2
| |
| 6 2 9 7 5 4 Q 10 9 8 J 5 4 | | K 5 3 A Q J 6 K 6 10 9 8 7
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 106. | K 8 5 3 2 J 9 7 K Q 3 7 6
| |
| A 6 10 6 5 9 8 4 A 9 5 4 2 | | J 9 7 A Q 4 3 10 6 2 J 10 8
|
| 3 NT → 7 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 118. | J 9 8 7 5 A Q 4 Q 6 J 8 7
| |
| A K 3 J 7 6 5 3 2 10 6 4 2 | | 6 2 10 9 K 10 9 8 4 3 A 9 5
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 131. | J 7 5 3 2 A Q 3 K 10 10 5 2
| |
| 8 6 10 9 7 4 9 8 3 A J 9 6 | | A K 9 J 6 5 Q 6 4 2 8 7 4
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 133. | A K J 7 3 J 7 3 10 8 6 8 4
| |
| 9 8 5 Q 9 5 4 9 4 3 J 7 5 | | 6 2 A 10 6 K Q 2 A 10 9 6 2
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 194. | A J 9 8 3 Q K 6 3 J 9 6 2
| |
| 5 2 A 9 7 6 5 4 Q 2 8 5 4 | | K 7 6 J 10 3 10 9 8 4 A 10 7
|
| 3 NT → 7 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 201. | K J 9 7 5 Q 6 3 K 9 2 9 2
| |
| A 6 2 J 10 9 7 6 4 J 8 7 4 | | 8 3 A 5 4 Q 10 8 3 A 10 6 5
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| Simulation 8Z34 Main | | Top Notrump or 5-3 Major? |
| 234. | K J 8 3 2 9 4 K 3 J 9 7 2
| |
| A 6 Q J 10 6 3 9 6 4 8 6 5 | | 9 7 5 A 7 5 Q 10 8 2 A 10 4
|
| 3 NT → 7 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 260. | A J 9 8 3 Q J 10 6 J 8 7 5
| |
| 7 5 10 6 5 4 9 8 4 3 A 9 4 | | K 6 2 A 9 7 3 K Q 2 10 6 2
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 278. | K 8 6 5 2 A 6 4 K 4 2 6 5
| |
| J 10 9 7 3 Q 9 8 3 J 9 8 4 | | A 9 7 3 Q J 5 10 6 A 10 7 2
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 280. | 9 8 7 5 3 A Q 6 9 8 A J 10
| |
| 2 10 9 5 4 K 10 3 2 7 6 5 2 | | A K J 6 J 7 3 Q 6 4 9 8 4
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 295. | K 8 5 3 2 Q 5 K 9 6 A J 4
| |
| A J 9 10 9 7 6 4 3 10 8 5 2 | | 7 6 A J 4 3 Q 10 8 2 9 7 6
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 296. | K 9 6 5 2 Q 7 6 8 6 4 3 A
| |
| 7 3 A 5 4 3 K 9 2 9 6 4 2 | | A J 8 J 10 9 Q 10 J 10 8 7 5
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 332. | A 9 6 5 2 A 9 Q 6 3 8 5 2
| |
| K 7 Q J 6 K 10 9 J 10 9 7 6 | | J 8 3 10 7 5 4 3 8 4 2 A 4
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 334. | K 9 8 7 3 A Q 4 Q 9 9 7 6
| |
| 6 J 10 9 7 6 5 3 8 4 2 8 2 | | A J 5 2 — K 10 6 3 A J 10 5 4
|
| 3 NT → 10 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 340. | A K J 5 2 Q 3 Q 4 2 10 4 2
| |
| 8 6 3 A J 10 9 6 8 3 J 9 6 | | 9 7 7 5 4 K 10 9 6 A 8 7 5
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 343. | K 8 7 5 2 A 9 5 K 10 9 8 2
| |
| A 9 J 10 6 4 3 A 10 7 6 5 4 | | J 6 3 Q 7 6 4 3 Q 9 8 2 J
|
| 3 NT → 10 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| Simulation 8Z34 Main | | Top Notrump or 5-3 Major? |
| 355. | A 9 6 5 2 A Q 4 2 J 8 5 2
| |
| 8 7 3 J 10 6 K 10 8 3 10 7 4 | | K J Q 9 7 5 4 3 9 6 A 9 6
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 359. | A K 8 6 5 10 9 4 K Q 10 5 2
| |
| J 3 A Q 7 6 5 9 6 4 J 10 8 | | 9 7 2 J 3 8 3 2 A 9 7 6 4
|
| 3 NT → 10 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 371. | K J 6 3 2 J 10 K Q 9 A 4 2
| |
| A 8 A Q 9 4 3 6 4 2 J 10 5 | | 9 7 5 7 6 5 10 8 3 9 8 7 6
|
| 3 NT → 8 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 375. | J 9 8 7 6 A 9 7 Q 2 A 9 6
| |
| A 5 3 Q 6 5 K 10 8 4 3 J 10 | | K 2 J 10 4 3 9 6 8 7 5 4 2
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 404. | A K J 9 5 Q 9 10 9 8 3 10 5
| |
| 7 3 J 7 6 4 3 K 6 2 A 7 6 | | 8 6 2 A 10 5 Q 4 J 9 8 4 2
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 408. | K J 9 8 6 Q 10 3 K 9 4 7 6
| |
| A 5 3 A 9 7 5 4 6 2 J 10 5 | | 7 2 J 6 Q 10 8 3 A 9 8 4 2
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 418. | A K J 7 2 Q Q 8 4 2 10 7 4
| |
| 9 8 6 3 A J 7 5 3 3 J 8 6 | | 5 10 9 6 4 K 10 9 6 A 9 5 2
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 430. | K J 9 7 5 A J 7 6 4 10 4 2
| |
| A 2 9 4 3 K Q 10 9 J 8 7 5 | | 8 6 3 Q 10 6 5 8 3 2 A 9 6
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 434. | K 8 7 6 2 Q 4 K 8 J 8 4 2
| |
| 5 3 A J 10 7 6 10 9 6 A 10 7 | | A J 9 9 5 3 Q 4 3 2 9 6 5
|
| 3 NT → 7 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 437. | K J 9 7 3 Q 7 4 8 4 A 6 2
| |
| A 8 A 10 5 3 K 6 2 9 7 5 4 | | 6 5 2 J 9 6 Q 10 9 3 J 10 8
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| Simulation 8Z34 Main | | Top Notrump or 5-3 Major? |
| 447. | J 8 6 5 3 7 6 5 K Q 9 A 8
| |
| A K 9 A Q J 9 4 4 3 J 4 2 | | 7 2 10 3 10 8 6 2 10 9 7 6 5
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 472. | A 8 6 5 2 A 10 5 4 2 A J 8
| |
| K J 9 7 3 Q 9 7 6 8 6 6 4 | | — J 4 3 K Q 10 9 3 10 9 7 5 2
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 503. | A K 6 5 2 7 5 K 4 J 9 8 4
| |
| 7 3 A Q J 10 6 4 6 3 2 7 5 | | J 9 8 9 3 Q 10 9 8 A 10 6 2
|
| 3 NT → 6 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 513. | K J 9 8 2 A J 7 8 6 4 10 9
| |
| A 7 5 3 10 9 6 4 K 9 3 A 2 | | 6 Q 5 3 Q 10 2 J 8 7 6 5 4
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 514. | A J 7 6 5 J 4 Q 4 A J 6 5
| |
| 3 A 9 6 5 3 10 9 3 10 9 8 7 | | K 9 8 2 Q 10 7 K 8 6 2 4 2
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 516. | K 8 7 3 2 A K 8 3 2 J 7 4
| |
| 9 6 5 Q J 9 5 4 3 Q 10 9 10 | | A J 10 7 6 6 4 A 9 8 6 5 2
|
| 3 NT → 10 4 → 8 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 519. | J 9 8 5 2 10 3 K 3 A J 7 2
| |
| K 3 Q J 9 7 Q 8 4 2 10 9 5 | | A 7 6 A 6 5 4 10 9 6 8 6 4
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 522. | K 9 7 3 2 Q J 5 4 3 A 8 7
| |
| A 5 9 6 3 9 6 J 10 6 5 4 2 | | J 8 6 A 10 7 4 K Q 10 8 2 9
|
| 3 NT → 10 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 548. | A J 8 3 2 7 6 K 3 A 9 7 2
| |
| 9 A J 9 4 3 Q 6 4 J 8 6 4 | | K 7 6 5 Q 10 5 10 9 8 2 10 5
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 553. | A K 5 3 2 7 5 4 10 4 A 10 6
| |
| — J 10 9 9 6 3 2 J 9 8 5 4 2 | | J 9 8 7 6 A Q 6 3 K Q 8 7
|
| 3 NT → 10 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| Simulation 8Z34 Main | | Top Notrump or 5-3 Major? |
| 560. | K J 8 6 2 Q 10 9 4 A J 7 5
| |
| 9 5 3 A J 10 4 K 3 2 9 8 6 | | A 7 9 7 6 5 3 Q 8 6 10 4 2
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 575. | K J 9 6 3 Q J 7 9 6 2 A 2
| |
| 2 A 9 6 4 K 10 8 4 10 9 7 6 | | A 8 7 5 10 5 3 Q 3 J 8 5 4
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 577. | A K J 6 3 10 5 K 10 3 J 6 5
| |
| 9 8 7 2 A 9 7 4 3 Q 2 8 7 | | 5 Q J 6 9 8 6 4 A 10 9 4 2
|
| 3 NT → 7 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 588. | A J 8 7 6 A 4 Q 3 10 9 4 2
| |
| 9 3 2 Q 10 9 7 6 A J 8 6 5 | | K 5 J 6 5 3 K 10 9 8 4 2 7
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 589. | K J 8 7 2 9 6 K 4 J 10 9 4
| |
| A 6 5 3 Q J 5 4 10 8 6 5 2 | | 9 A 10 7 3 Q 9 6 3 2 A 8 7
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 615. | A J 9 5 2 Q J K 9 3 2 6 5
| |
| 8 3 A 10 5 4 Q 10 6 4 A 4 2 | | K 7 6 9 7 6 3 8 J 10 9 8 7
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 617. | K 9 7 6 3 J 4 K Q 9 4 6 4
| |
| J 5 2 Q 7 6 3 8 6 3 J 7 2 | | A 8 A 10 9 5 10 2 A 10 9 8 5
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 618. | A K J 9 8 7 6 3 Q 10 9 J 8
| |
| 7 6 5 3 J 10 5 K 2 6 5 4 2 | | 2 A Q 9 4 8 6 4 3 A 10 9 7
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 622. | A K 9 8 7 5 4 K 3 10 9 7 6
| |
| J 2 A Q J 10 7 3 Q 8 2 8 4 | | 6 5 3 9 6 10 9 6 4 A J 5 2
|
| 3 NT → 6 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 628. | A J 9 5 3 J 9 7 K 6 4 8 4
| |
| K 7 6 A 6 5 3 Q 10 8 A 10 9 | | 8 2 Q 10 4 9 3 2 J 7 6 5 2
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| Simulation 8Z34 Main | | Top Notrump or 5-3 Major? |
| 9981. | A J 9 3 2 J 5 K 8 A 7 6 2
| |
| 8 6 A Q 10 7 6 4 6 4 9 8 4 | | K 7 5 9 3 Q 10 9 3 2 J 10 5
|
| 3 NT → 9 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9982. | K 9 6 5 3 9 7 4 Q 10 8 A 7
| |
| 7 2 A 6 5 9 6 4 3 J 8 6 5 | | A J 8 Q J 10 3 K 2 10 9 4 2
|
| 3 NT → 9 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9983. | K J 7 6 3 A 6 K 6 4 2 8 4
| |
| 9 8 Q J 7 4 3 Q 10 9 8 7 5 | | A 5 2 10 9 5 3 A J 10 9 6 2
|
| 3 NT → 10 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9984. | K 7 6 5 2 A J 10 K 10 4 10 7
| |
| A J 8 Q 7 6 9 8 6 J 9 5 2 | | 9 3 9 5 4 3 Q 3 2 A 8 6 4
|
| 3 NT → 10 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9985. | K J 9 8 3 A Q 9 6 3 2 J 9
| |
| A 6 5 2 J 7 6 3 10 9 8 6 4 | | 7 10 5 4 K Q 4 A 10 8 7 5 2
|
| 3 NT → 10 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9986. | A 9 7 6 5 7 6 Q 10 4 2 A 7
| |
| 8 3 Q J 5 4 6 3 J 10 9 5 2 | | K J 2 A 10 9 3 K 9 8 8 6 4
|
| 3 NT → 9 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9987. | A K 7 5 2 7 5 3 10 4 2 A 5
| |
| J Q J 10 9 6 K 8 3 10 6 4 2 | | 9 8 6 3 A 4 Q 9 6 J 9 8 7
|
| 3 NT → 10 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9988. | K J 9 8 2 7 6 4 K 10 8 3 A
| |
| 7 Q J 9 5 3 6 4 9 8 6 5 4 | | A 6 5 3 A 10 Q 9 2 J 10 7 2
|
| 3 NT → 11 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9989. | A K 8 7 6 A J 9 8 6 2 9 2
| |
| 5 2 Q 10 5 4 4 3 J 8 7 6 5 | | J 9 3 9 7 6 3 K Q 10 A 10 4
|
| 3 NT → 11 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9990. | K 9 8 3 2 A 6 5 K 9 10 5 2
| |
| A 10 7 4 3 Q 10 6 4 J 9 6 4 | | J 7 6 5 Q J 9 8 3 2 A 8 7
|
| 3 NT → 9 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| Simulation 8Z34 Main | | Top Notrump or 5-3 Major? |
| 9991. | K 8 7 6 5 A J 10 8 J 10 9 4
| |
| A 9 2 10 9 7 5 Q 6 4 3 2 8 | | J 3 Q 6 4 3 K 9 A 7 6 5 2
|
| 3 NT → 8 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9992. | A J 9 5 2 Q J 3 8 3 J 7 4
| |
| 7 3 9 6 5 4 K Q 6 2 A 10 8 | | K 8 6 A 10 7 10 9 4 9 6 5 2
|
| 3 NT → 8 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9993. | A K 7 6 5 J 9 10 8 J 9 7 4
| |
| J 9 A 10 7 3 K Q 9 6 10 8 5 | | 8 3 2 Q 6 5 4 4 3 2 A 6 2
|
| 3 NT → 9 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9994. | A K 9 3 2 A 4 3 10 6 J 10 8
| |
| J 8 7 6 Q J 9 K 9 8 3 9 6 | | 5 10 7 6 5 Q 4 2 A 7 5 4 2
|
| 3 NT → 10 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9995. | K J 9 5 3 Q 10 9 6 A J 10 9
| |
| — 7 6 3 K Q 10 8 4 3 2 8 6 4 | | A 8 7 6 2 A J 9 5 4 — 7 5 2
|
| 3 NT → 8 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9996. | K 6 5 3 2 A 5 3 Q 10 8 9 2
| |
| A J 9 8 J 10 6 K 9 4 A 8 4 | | 7 Q 9 7 4 6 3 2 J 10 7 6 5
|
| 3 NT → 8 4 → 8 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9997. | K J 9 5 3 A 10 8 2 9 8 7 5
| |
| 7 6 J 9 3 K 10 6 3 A J 6 4 | | A 8 2 Q 7 6 5 4 Q 9 4 10 2
|
| 3 NT → 8 4 → 9 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9998. | K 9 7 5 2 Q J K 10 8 4 8 4
| |
| A 3 A 9 5 Q 6 3 A 9 7 6 2 | | J 8 6 10 7 6 4 3 9 2 J 10 5
|
| 3 NT → 10 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 9999. | A J 5 3 2 Q 5 K 10 10 9 7 2
| |
| K 9 6 A 9 7 8 4 3 2 J 5 4 | | 8 7 J 10 6 4 3 Q 9 6 A 8 6
|
| 3 NT → 10 4 → 11 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| 10000. | A J 7 6 2 10 5 4 10 4 A J 7
| |
| K 9 3 A J 9 7 3 9 2 9 8 2 | | 8 5 Q 6 K Q 8 6 3 10 6 5 4
|
| 3 NT → 10 4 → 10 | Q 10 4 K 8 2 A J 7 5 K Q 3 | |
| Simulation 8Z34 Main | | Top Notrump or 5-3 Major? |
© 2025 Richard Pavlicek