Simulation 8Z33 Main
Notrump or 5-3 Major?
by Richard PavlicekSimulation 8Z33 Main |
| by Richard Pavlicek |
A recurring bidding decision is whether to place the contract in notrump or a known 5-3 major fit, or most commonly, whether to play in 3 NT or four of the major. Notrump has the advantage of requiring a trick less and eliminating worries of a defensive ruff. The major has the advantage of utilizing your own ruffing power, either to gain an extra trick or to prevent the defense from running a long suit. So which is better?
For bidding decisions like this there is no clear-cut answer, and any attempt to find one by logic or deduction would be a labyrinthian task, if even possible. The only practical means is a simulation. Suppose you open 1 NT (15-17) and the bidding proceeds as follows:
| West Pass Pass | North 2  3 NT | East Pass Pass | South 1 NT 2  ? | Q 10 4 A 8 2 K J 7 5 K Q 3 |
Partner shows five spades with a Jacoby transfer then offers a choice of games with 3 NT. Should you pass or correct to 4 ? Think about it and decide what you would do at the table.
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.
As anticipated, the comparison is very close, with 4 being a slight favorite at any form of scoring. I suspect the underlying edge for 4 is holding the primary honor ( A) in partner’s most likely short suit. To confirm this I ran the simulation again with K-8-2 and A-J-7-5. See Part II.
| Contract | Make Percent | Overtrick Percent | Win Percent | Trick Average |
|---|---|---|---|---|
| 4 | 74.04 | 34.57 | 50.12 | 10.1029 |
| 3 NT | 74.93 | 48.72 | 49.88 | 9.3719 |
| Swing | IMPs | Times | Net Score | Net IMPs | Swing | IMPs | Times | Net Score | Net IMPs |
|---|---|---|---|---|---|---|---|---|---|
| +600 | +12 | 4 | +2400 | +48 | +950 | +14 | 4 | +3800 | +56 |
| +570 | +11 | 25 | +14250 | +275 | +920 | +14 | 25 | +23000 | +350 |
| +550 | +11 | 11 | +6050 | +121 | +850 | +13 | 11 | +9350 | +143 |
| +530 | +11 | 4 | +2120 | +44 | +820 | +13 | 211 | +173020 | +2743 |
| +520 | +11 | 211 | +109720 | +2321 | +780 | +13 | 4 | +3120 | +52 |
| +500 | +11 | 70 | +35000 | +770 | +750 | +13 | 70 | +52500 | +910 |
| +470 | +10 | 676 | +317720 | +6760 | +720 | +12 | 676 | +486720 | +8112 |
| +150 | +4 | 2 | +300 | +8 | +300 | +7 | 2 | +600 | +14 |
| +100 | +3 | 35 | +3500 | +105 | +200 | +5 | 35 | +7000 | +175 |
| +80 | +2 | 53 | +4240 | +106 | +100 | +3 | 257 | +25700 | +771 |
| +50 | +2 | 761 | +38050 | +1522 | +80 | +2 | 53 | +4240 | +106 |
| +20 | +1 | 2627 | +52540 | +2627 | +50 | +2 | 504 | +25200 | +1008 |
| 0 | 0 | 1066 | 0 | 0 | +20 | +1 | 2627 | +52540 | +2627 |
| -10 | 0 | 3043 | -30430 | 0 | 0 | 0 | 1066 | 0 | 0 |
| -40 | -1 | 174 | -6960 | -174 | -10 | 0 | 3043 | -30430 | 0 |
| -50 | -2 | 132 | -6600 | -264 | -40 | -1 | 174 | -6960 | -174 |
| -70 | -2 | 2 | -140 | -4 | -70 | -2 | 2 | -140 | -4 |
| -100 | -3 | 13 | -1300 | -39 | -100 | -3 | 132 | -13200 | -396 |
| -150 | -4 | 1 | -150 | -4 | -200 | -5 | 13 | -2600 | -65 |
| -450 | -10 | 779 | -350550 | -7790 | -300 | -7 | 1 | -300 | -7 |
| -480 | -10 | 208 | -99840 | -2080 | -700 | -12 | 779 | -545300 | -9348 |
| -500 | -11 | 61 | -30500 | -671 | -730 | -12 | 208 | -151840 | -2496 |
| -510 | -11 | 20 | -10200 | -220 | -760 | -13 | 20 | -15200 | -260 |
| -530 | -11 | 13 | -6890 | -143 | -800 | -13 | 61 | -48800 | -793 |
| -550 | -11 | 3 | -1650 | -33 | -830 | -13 | 13 | -10790 | -169 |
| -580 | -11 | 6 | -3480 | -66 | -900 | -14 | 3 | -2700 | -42 |
| -930 | -14 | 6 | -5580 | -84 | |||||
| Totals | 10000 | +37200 | +3219 | Totals | 10000 | +32950 | +3229 | ||
| Simulation 8Z33 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 A Q 4 J 7 6 2 |  | 9 8 7 K 6 3 10 8 3 9 8 5 4
|
| 3 NT → 9 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 2. | K J 5 3 2 K 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 A Q 8 2 5 4
|
| 3 NT → 11 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 3. | A K J 8 7 K 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 A Q J 6 4 2
|
| 3 NT → 9 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 4. | A 9 8 5 3 K 10 5 A 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 A 8 2 K J 7 5 K Q 3 | |
| 5. | K 9 8 6 3 K Q 6 A 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 A 8 2 K J 7 5 K Q 3 | |
| 6. | A 8 6 5 3 10 6 5 A A 9 8 7
| |
| 9 Q J 9 7 4 3 Q 10 3 2 5 4 | | K J 7 2 K 9 8 6 4 J 10 6 2
|
| 3 NT → 9 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 7. | K 9 8 7 5 K 9 6 A 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 A 8 2 K J 7 5 K Q 3 | |
| 8. | A K 9 6 2 K 7 3 10 6 A 6 2
| |
| J 8 7 5 Q J 6 9 4 3 10 7 4 | | 3 10 9 5 4 A Q 8 2 J 9 8 5
|
| 3 NT → 12 4 → 12 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9. | A J 7 5 3 K 10 Q 10 2 8 7 2
| |
| K 9 8 Q J 6 5 A 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 A 8 2 K J 7 5 K Q 3 | |
| 10. | J 9 8 6 5 K 10 3 A 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 A 8 2 K J 7 5 K Q 3 | |
| Simulation 8Z33 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 K 4 A 6 4 A 10 8 5 2
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 12. | A J 9 6 5 Q J 8 6 4 A 9 5
| |
| 3 K 9 7 4 Q 10 9 2 J 10 8 4 | | K 8 7 2 10 6 5 3 A 3 7 6 2
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 13. | K 9 7 6 5 K J 6 A 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 A 8 2 K J 7 5 K Q 3 | |
| 14. | A K J 9 2 J 7 6 A 4 9 8 5
| |
| 8 7 5 K Q 4 Q 10 9 2 A 4 2 | | 6 3 10 9 5 3 8 6 3 J 10 7 6
|
| 3 NT → 10 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 15. | A K 8 3 2 10 5 4 Q 6 J 8 5
| |
| 9 7 5 K 9 6 A 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 A 8 2 K J 7 5 K Q 3 | |
| 16. | J 9 5 3 2 Q 6 3 A Q 3 7 5
| |
| A K 7 9 7 5 9 4 2 A J 10 6 | | 8 6 K J 10 4 10 8 6 9 8 4 2
|
| 3 NT → 6 4 → 8 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 17. | A K 8 5 3 J 6 8 6 J 10 8 6
| |
| J K 10 9 3 Q 10 4 3 2 A 5 4 | | 9 7 6 2 Q 7 5 4 A 9 9 7 2
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 18. | K J 6 3 2 Q 6 5 A 2 8 7 5
| |
| A 9 8 K J 10 9 4 3 J 9 4 2 | | 7 5 7 3 Q 10 9 8 6 4 A 10 6
|
| 3 NT → 10 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 19. | K J 9 5 3 Q 10 7 A 4 A 9 2
| |
| 7 6 2 K 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 A 8 2 K J 7 5 K Q 3 | |
| 20. | A K J 9 6 Q 7 6 8 6 10 9 7
| |
| 7 10 9 5 4 3 A 10 4 2 8 6 4 | | 8 5 3 2 K J Q 9 3 A J 5 2
|
| 3 NT → 9 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| Simulation 8Z33 Main | | Top Notrump or 5-3 Major? |
| 37. | K J 7 5 2 7 5 Q 4 3 A 9 7
| |
| 6 3 Q J 9 4 10 9 2 8 6 5 4 | | A 9 8 K 10 6 3 A 8 6 J 10 2
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 51. | K 9 8 6 5 K 6 10 9 8 2 A 7
| |
| 7 2 Q 9 7 3 A Q 6 3 6 5 4 | | A J 3 J 10 5 4 4 J 10 9 8 2
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 63. | J 7 5 3 2 Q A Q 6 J 10 6 5
| |
| K 6 10 6 5 4 3 4 3 2 9 4 2 | | A 9 8 K J 9 7 10 9 8 A 8 7
|
| 3 NT → 6 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 65. | A K 8 6 3 7 5 A 10 8 7 4 2
| |
| J 9 7 5 2 K 10 6 4 6 4 10 6 | | — Q J 9 3 Q 9 3 2 A J 9 8 5
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 68. | A K J 9 8 9 4 Q 6 3 10 5 4
| |
| 5 3 2 K J 6 5 A 10 9 A J 6 | | 7 6 Q 10 7 3 8 4 2 9 8 7 2
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 70. | K J 9 8 7 J 6 10 9 2 A J 7
| |
| A 3 2 K Q 9 A 8 6 4 3 10 8 | | 6 5 10 7 5 4 3 Q 9 6 5 4 2
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 84. | A 9 7 5 2 4 3 Q 4 A 8 5 2
| |
| K 8 K J 10 9 6 A 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 A 8 2 K J 7 5 K Q 3 | |
| 92. | A K J 7 6 J 5 3 Q 8 10 9 2
| |
| 8 5 2 K Q 9 6 A 10 6 4 3 J | | 9 3 10 7 4 9 2 A 8 7 6 5 4
|
| 3 NT → 10 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 93. | A J 7 5 2 Q A 10 3 J 9 7 6
| |
| 8 6 K 9 6 5 Q 6 4 A 8 4 2 | | K 9 3 J 10 7 4 3 9 8 2 10 5
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 111. | J 9 8 5 2 10 9 5 A 8 A 8 6
| |
| 7 3 Q J 7 6 10 9 6 4 3 J 2 | | A K 6 K 4 3 Q 2 10 9 7 5 4
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| Simulation 8Z33 Main | | Top Notrump or 5-3 Major? |
| 125. | A J 6 5 3 J 4 8 2 A 9 8 7
| |
| 9 7 2 K 10 7 3 A 10 6 3 5 2 | | K 8 Q 9 6 5 Q 9 4 J 10 6 4
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 126. | K 9 8 5 2 Q J 9 Q 10 3 2 A
| |
| — 10 7 6 4 3 A 9 6 4 J 8 6 4 | | A J 7 6 3 K 5 8 10 9 7 5 2
|
| 3 NT → 11 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 131. | J 7 5 3 2 K Q 3 A 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 A 8 2 K J 7 5 K Q 3 | |
| 132. | A 9 5 3 2 K 4 8 4 J 10 8 2
| |
| J 8 7 6 J 7 5 3 10 9 2 A 5 | | K Q 10 9 6 A Q 6 3 9 7 6 4
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 135. | A K 9 8 2 J 3 Q 9 6 J 6 2
| |
| 7 3 K Q 7 6 A 10 8 4 3 10 9 | | J 6 5 10 9 5 4 2 A 8 7 5 4
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 136. | 9 8 7 6 5 K 5 A 10 9 A 9 5
| |
| K J 10 4 Q 8 6 4 3 2 J 8 6 | | A J 3 2 Q 9 7 6 3 — 10 7 4 2
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 138. | A J 7 6 2 10 3 Q 9 2 A 10 8
| |
| 5 3 J 9 5 4 A 8 6 3 9 7 6 | | K 9 8 K Q 7 6 10 4 J 5 4 2
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 149. | A K J 9 2 Q 4 Q 9 6 2 4 2
| |
| 7 3 K J 6 3 A 8 4 3 A 7 6 | | 8 6 5 10 9 7 5 10 J 10 9 8 5
|
| 3 NT → 10 4 → 8 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 151. | K J 9 6 2 9 3 Q 9 8 A J 9
| |
| A 7 3 K Q J 4 A 6 4 3 4 2 | | 8 5 10 7 6 5 10 2 10 8 7 6 5
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 154. | A K 9 6 5 10 3 Q 6 6 5 4 2
| |
| J 7 3 K Q 5 A 8 4 2 A 10 7 | | 8 2 J 9 7 6 4 10 9 3 J 9 8
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| Simulation 8Z33 Main | | Top Notrump or 5-3 Major? |
| 182. | A J 8 7 6 6 4 A Q 3 10 8 7
| |
| 9 5 3 K J 7 5 10 9 6 2 J 6 | | K 2 Q 10 9 3 8 4 A 9 5 4 2
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 187. | A K 9 8 7 K J 3 9 2 7 6 5
| |
| J 5 10 9 5 Q 8 6 4 A 10 8 2 | | 6 3 2 Q 7 6 4 A 10 3 J 9 4
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 202. | A 9 8 7 2 6 5 Q 6 2 A 7 2
| |
| J 6 3 10 9 4 3 10 9 4 J 10 9 | | K 5 K Q J 7 A 8 3 8 6 5 4
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 204. | A 7 6 3 2 Q 10 A 10 8 7 5 4
| |
| — J 6 5 3 9 6 4 2 10 9 8 6 2 | | K J 9 8 5 K 9 7 4 Q 3 A J
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 216. | A 9 8 7 2 Q A 9 6 J 8 7 4
| |
| J 6 K J 6 5 Q 10 8 4 3 10 6 | | K 5 3 10 9 7 4 3 2 A 9 5 2
|
| 3 NT → 7 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 221. | A K J 5 2 Q 10 4 3 2 9 4 2
| |
| 9 8 J 6 5 3 Q 9 8 A J 10 8 | | 7 6 3 K 9 7 4 A 10 6 7 6 5
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 233. | K J 8 3 2 9 4 A 3 J 9 7 2
| |
| A 6 Q J 10 6 3 9 6 4 8 6 5 | | 9 7 5 K 7 5 Q 10 8 2 A 10 4
|
| 3 NT → 7 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 234. | A 9 7 6 2 Q 6 A 9 6 4 8 6
| |
| — K J 10 7 4 3 10 8 3 9 7 5 2 | | K J 8 5 3 9 5 Q 2 A J 10 4
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 241. | A J 9 8 3 J 6 A 10 6 3 J 10
| |
| 7 5 2 K 5 4 3 9 4 2 6 4 2 | | K 6 Q 10 9 7 Q 8 A 9 8 7 5
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 268. | A 9 6 5 3 K J 5 Q J 5 4 2
| |
| K J 8 9 6 4 3 A 9 8 6 3 10 | | 7 2 Q 10 7 10 4 2 A 9 8 7 6
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| Simulation 8Z33 Main | | Top Notrump or 5-3 Major? |
| 270. | A J 9 6 3 9 7 A Q 8 9 8 7
| |
| 7 5 Q 10 4 3 9 4 2 A J 5 4 | | K 8 2 K J 6 5 10 6 3 10 6 2
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 271. | A J 7 5 3 K 4 8 4 3 2 9 4
| |
| K 8 6 2 Q J 10 7 3 10 J 8 2 | | 9 9 6 5 A Q 9 6 A 10 7 6 5
|
| 3 NT → 10 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 274. | K 8 7 3 2 Q A Q 9 6 J 5 2
| |
| J 5 K J 10 4 3 10 2 A 10 7 6 | | A 9 6 9 7 6 5 8 4 3 9 8 4
|
| 3 NT → 7 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 279. | 9 8 7 5 3 K Q 6 9 8 A J 10
| |
| 2 10 9 5 4 A 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 A 8 2 K J 7 5 K Q 3 | |
| 295. | K 8 5 3 2 Q 5 A 9 6 A J 4
| |
| A J 9 10 9 7 6 4 3 10 8 5 2 | | 7 6 K J 4 3 Q 10 8 2 9 7 6
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 299. | A J 8 5 2 K Q 8 6 3 2 J 5
| |
| — J 9 6 4 3 10 9 4 A 9 6 4 2 | | K 9 7 6 3 10 7 5 A Q 10 8 7
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 310. | J 8 6 5 3 Q J 4 A 3 A 9 8
| |
| A 7 K 9 7 5 3 Q 9 8 10 7 2 | | K 9 2 10 6 10 6 4 2 J 6 5 4
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 311. | J 9 8 7 6 K J A 8 6 3 7 4
| |
| — Q 6 10 9 4 2 A 10 9 8 6 5 2 | | A K 5 3 2 10 9 7 5 4 3 Q J
|
| 3 NT → 10 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 333. | K J 9 5 2 6 5 A Q 6 4 J 8
| |
| 8 6 K Q 9 7 4 3 2 A 7 6 2 | | A 7 3 J 10 3 10 9 8 10 9 5 4
|
| 3 NT → 7 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 341. | K 8 7 5 2 K 9 5 A 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 A 8 2 K J 7 5 K Q 3 | |
| Simulation 8Z33 Main | | Top Notrump or 5-3 Major? |
| 352. | A 9 6 5 2 K Q 4 2 J 8 5 2
| |
| 8 7 3 J 10 6 A 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 A 8 2 K J 7 5 K Q 3 | |
| 354. | A K J 7 2 Q 9 6 9 2 9 7 5
| |
| 8 5 J 5 4 3 10 8 6 A J 6 4 | | 9 6 3 K 10 7 A Q 4 3 10 8 2
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 355. | A K 8 5 3 J 7 10 9 J 9 5 4
| |
| J 7 Q 9 6 3 A 4 2 10 7 6 2 | | 9 6 2 K 10 5 4 Q 8 6 3 A 8
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 388. | 9 8 7 5 3 K Q 10 Q 8 3 A 7
| |
| A J 6 6 10 9 6 4 2 9 8 6 4 | | K 2 J 9 7 5 4 3 A J 10 5 2
|
| 3 NT → 9 4 → 8 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 393. | A K J 5 3 Q Q 10 2 9 5 4 2
| |
| 9 7 K J 10 6 5 4 8 6 A J 6 | | 8 6 2 9 7 3 A 9 4 3 10 8 7
|
| 3 NT → 6 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 397. | A K 8 6 5 J 7 10 4 J 9 8 7
| |
| 9 7 3 K Q 9 A Q 8 6 3 A 10 | | J 2 10 6 5 4 3 9 2 6 5 4 2
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 401. | J 7 6 5 3 7 5 4 A Q 4 A 9
| |
| K 9 K Q 3 10 9 8 2 J 8 7 6 | | A 8 2 J 10 9 6 6 3 10 5 4 2
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 405. | A 7 6 5 3 Q 6 4 A 8 9 8 4
| |
| 9 8 J 9 7 3 Q 10 6 3 2 5 2 | | K J 2 K 10 5 9 4 A J 10 7 6
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 414. | K J 9 7 6 Q Q 8 6 2 A 8 4
| |
| A 5 3 K 7 6 9 4 J 10 7 6 2 | | 8 2 J 10 9 5 4 3 A 10 3 9 5
|
| 3 NT → 6 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 453. | A K 8 6 2 K J 4 10 8 4 J 6
| |
| J 9 10 9 6 A Q 9 6 3 A 8 2 | | 7 5 3 Q 7 5 3 2 10 9 7 5 4
|
| 3 NT → 10 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| Simulation 8Z33 Main | | Top Notrump or 5-3 Major? |
| 461. | J 8 6 3 2 K 7 3 Q 9 4 A 6
| |
| K 9 7 J 10 6 A 3 2 10 9 8 4 | | A 5 Q 9 5 4 10 8 6 J 7 5 2
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 464. | A K 9 6 3 6 5 3 6 4 2 A 6
| |
| 8 7 5 K J 9 4 A Q 9 8 5 2 | | J 2 Q 10 7 10 8 3 J 10 9 7 4
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 491. | J 7 5 3 2 6 4 3 A Q 8 A J
| |
| A 9 K 10 9 5 10 9 6 3 10 7 5 | | K 8 6 Q J 7 4 2 9 8 6 4 2
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 499. | A 9 8 7 6 10 6 4 Q 3 A 8 5
| |
| K J 2 Q 9 3 A 10 6 10 9 6 2 | | 5 3 K J 7 5 9 8 4 2 J 7 4
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 518. | J 9 8 5 2 10 3 A 3 A J 7 2
| |
| K 3 Q J 9 7 Q 8 4 2 10 9 5 | | A 7 6 K 6 5 4 10 9 6 8 6 4
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 524. | K 8 7 6 5 Q 10 A Q 4 10 5 2
| |
| 9 K J 6 5 9 8 6 3 2 9 7 4 | | A J 3 2 9 7 4 3 10 A J 8 6
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 527. | K J 8 7 3 9 6 8 4 3 2 A 10
| |
| A 6 2 J 10 7 4 3 — J 8 6 5 4 | | 9 5 K Q 5 A Q 10 9 6 9 7 2
|
| 3 NT → 7 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 532. | A K J 8 7 J 9 4 A 8 7 6 2
| |
| 9 3 2 K 7 6 3 Q 10 9 4 A 9 | | 6 5 Q 10 5 6 3 2 J 10 8 5 4
|
| 3 NT → 9 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 556. | A J 9 7 2 6 3 A 10 9 6 J 4
| |
| 8 6 K 7 5 4 Q 8 9 8 7 6 2 | | K 5 3 Q J 10 9 4 3 2 A 10 5
|
| 3 NT → 8 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 565. | K J 8 3 2 K Q 4 Q 9 8 J 9
| |
| A 9 J 10 9 A 10 4 3 2 6 4 2 | | 7 6 5 7 6 5 3 6 A 10 8 7 5
|
| 3 NT → 9 4 → 8 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| Simulation 8Z33 Main | | Top Notrump or 5-3 Major? |
| 9981. | K 9 8 3 2 K 6 5 A 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 A 8 2 K J 7 5 K Q 3 | |
| 9982. | A J 9 5 2 Q J 3 8 3 J 7 4
| |
| 7 3 9 6 5 4 A Q 6 2 A 10 8 | | K 8 6 K 10 7 10 9 4 9 6 5 2
|
| 3 NT → 7 4 → 8 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9983. | A K 7 6 5 J 9 10 8 J 9 7 4
| |
| J 9 K 10 7 3 A Q 9 6 10 8 5 | | 8 3 2 Q 6 5 4 4 3 2 A 6 2
|
| 3 NT → 7 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9984. | A J 9 7 6 9 5 A 6 3 9 8 2
| |
| K 8 5 3 K Q J 6 9 8 4 2 J | | 2 10 7 4 3 Q 10 A 10 7 6 5 4
|
| 3 NT → 9 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9985. | A K 9 3 2 K 4 3 10 6 J 10 8
| |
| J 8 7 6 Q J 9 A 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 A 8 2 K J 7 5 K Q 3 | |
| 9986. | K J 9 5 3 Q 10 9 6 A J 10 9
| |
| — 7 6 3 A Q 10 8 4 3 2 8 6 4 | | A 8 7 6 2 K J 9 5 4 — 7 5 2
|
| 3 NT → 7 4 → 8 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9987. | K 9 7 5 2 Q J A 10 8 4 8 4
| |
| A 3 K 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 A 8 2 K J 7 5 K Q 3 | |
| 9988. | A J 5 3 2 Q 5 A 10 10 9 7 2
| |
| K 9 6 K 9 7 8 4 3 2 J 5 4 | | 8 7 J 10 6 4 3 Q 9 6 A 8 6
|
| 3 NT → 12 4 → 12 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9989. | A J 7 6 2 10 5 4 10 4 A J 7
| |
| K 9 3 K J 9 7 3 9 2 9 8 2 | | 8 5 Q 6 A Q 8 6 3 10 6 5 4
|
| 3 NT → 11 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9990. | K J 5 3 2 K J 6 Q 6 J 8 2
| |
| A 8 6 Q 9 5 4 10 8 3 A 7 4 | | 9 7 10 7 3 A 9 4 2 10 9 6 5
|
| 3 NT → 10 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| Simulation 8Z33 Main | | Top Notrump or 5-3 Major? |
| 9991. | K 9 5 3 2 K J 7 3 2 A 6 5
| |
| A 8 6 Q Q 10 9 8 4 J 10 4 2 | | J 7 10 9 6 5 4 3 A 6 9 8 7
|
| 3 NT → 10 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9992. | K J 8 5 2 Q 7 A Q 6 4 5 4
| |
| 9 6 K 10 6 5 4 10 3 2 A 10 6 | | A 7 3 J 9 3 9 8 J 9 8 7 2
|
| 3 NT → 10 4 → 10 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9993. | A J 9 7 5 Q 6 3 A 8 4 9 7
| |
| K 10 9 7 4 Q 3 2 J 10 8 6 5 | | 8 6 3 2 K J 5 10 9 6 A 4 2
|
| 3 NT → 11 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9994. | 9 7 6 5 2 9 7 5 A A 10 4 2
| |
| A J 3 K Q 6 Q 9 4 3 J 6 5 | | K 8 J 10 4 3 10 8 6 2 9 8 7
|
| 3 NT → 7 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9995. | K 8 7 6 5 K 10 4 A Q 9 10 6
| |
| J 9 2 Q 9 7 6 5 6 4 9 5 2 | | A 3 J 3 10 8 3 2 A J 8 7 4
|
| 3 NT → 11 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9996. | A J 8 6 2 Q 5 A Q 10 9 J 5
| |
| 9 7 3 K 7 6 6 4 2 A 10 7 6 | | K 5 J 10 9 4 3 8 3 9 8 4 2
|
| 3 NT → 10 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9997. | A 8 6 5 3 K 9 A 6 9 8 7 6
| |
| K 9 2 J 7 6 Q 10 4 3 J 5 4 | | J 7 Q 10 5 4 3 9 8 2 A 10 2
|
| 3 NT → 9 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9998. | A K 5 3 2 6 5 A Q 10 7 5 2
| |
| 9 8 K 7 4 3 9 8 6 4 9 6 4 | | J 7 6 Q J 10 9 10 3 2 A J 8
|
| 3 NT → 10 4 → 12 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 9999. | A J 9 7 5 6 3 A Q 9 J 6 2
| |
| 6 3 K Q J 10 7 5 8 6 4 2 10 | | K 8 2 9 4 10 3 A 9 8 7 5 4
|
| 3 NT → 10 4 → 9 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| 10000. | A K J 6 2 Q 6 A 8 3 2 7 2
| |
| 8 5 3 10 9 7 4 10 A 10 8 6 4 | | 9 7 K J 5 3 Q 9 6 4 J 9 5
|
| 3 NT → 10 4 → 11 | Q 10 4 A 8 2 K J 7 5 K Q 3 | |
| Simulation 8Z33 Main | | Top Notrump or 5-3 Major? |
© 2025 Richard Pavlicek