Simulation 8Z02 Main
Slam: 5-3 Hearts or 4-4 Clubs
by Richard PavlicekSimulation 8Z02 Main |
| by Richard Pavlicek |
It is widely accepted that a 4-4 fit is generally superior to a 5-3 fit, but the margin narrows when only the 5-3 fit is a major. Recently I was asked what was the best contract on the following North-South hands at IMPs. Slam is clearly a favorite, particularly with the chance of bad breaks diminished by the enemy silence.
| West Pass Pass Pass Pass Pass | North 1  3  4 NT 5  2? | East Pass Pass Pass Pass | SOUTH 1 2  4 5 15 NT3 | K 9 7 5 2 K 7 4 8 K Q J 3
|
| ||||
| 1. 0 or 3 key cards 2. do you have the HQ? 3. yes but no side king | 4 A Q 6 5 3 A J 2 A 10 8 7 | |||
Should North bid 6 or 6 ? My initial reaction was that 6 would be better because of the trump solidity, even though the 5-3 heart fit provides no crucial discard in a club contract. But then I wondered; a 4-1 heart break would usually doom a 6 contract as well; and 6 gains 2 IMPs whenever both slams make. So which slam is better?
For a simulation I created 10,000 random deals with the North-South hands fixed. West was constrained to have no appropriate action (overcall or double) over 1 , and East similarly after 1 P 1 .
Results are shown below. Trick Average shows the average number of tricks won by declarer. Make Percent shows how often the contract is made (including with overtrick) and Overtrick Percent how often an overtrick is made. The second table compares the bids directly, with the better choice 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 declarer nonvul (green) then with declarer vul (red). Plus values show the net gain over 10,000 deals.
As I first thought, 6 is the better contract in theory — makes more often — but, alas, 6 is the clear winner at IMPs. The vulnerable comparison might look faulty but is indeed correct. When 6 makes and 6 fails the gain is 1470 points (16 IMPs), and when both slams make the loss is 60 points (2 IMPs) which is disproportionate, i.e., 1470:60 is almost 25:1, while 16:2 is 8:1. Hence the gains for 6 weigh heavily at total points but are overcome at IMPs by thousands of 2-IMP losses (as well as the occasional times only 6 makes).
This simulation clearly shows a defect with IMP scoring: To Hell with the best contract… Grab the 2 IMPs and run!
[Update: Cases like this motivated me to propose a Broken Scoring Fix to improve the game. Of course, no one listened. Sigh, I think my mistake was the wording “to improve the game,” as organizations like ACBL and WBF seem bent on doing the opposite.]
| Contract | Trick Average | Make Percent | Overtrick Percent |
|---|---|---|---|
| 6 S | 11.7659 | 79.53 | 0 |
| 6 S | 11.7395 | 76.27 | 0 |
| Comparison | Net W-L | Net Score | Net IMPs | Net Score | Net IMPs |
|---|---|---|---|---|---|
| 6 S vs. 6 S | +7160 | +144500 | +10410 | -15400 | +10022 |
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. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 8 6 9 8 2 9 7 6 4 6 4 | 
| Q 10 3 J 10 K Q 10 5 3 9 5 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 2. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 10 6 J 9 2 K Q 7 6 5 6 4 |
| Q J 8 3 10 8 10 9 4 3 9 5 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 3. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 8 3 9 K 9 6 5 4 9 5 2 |
| Q 10 6 J 10 8 2 Q 10 7 3 6 4
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 4. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 8 6 3 J 9 8 Q 10 6 5 4 4 |
| A Q 10 10 2 K 9 7 3 9 6 5 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 5. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 10 6 3 9 8 Q 9 7 4 9 5 4 |
| Q J 8 J 10 2 K 10 6 5 3 6 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 6. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 J 10 K 9 7 6 5 5 4 2 |
| A 8 6 3 9 8 2 Q 10 4 3 9 6
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 7. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 3 J 10 K Q 6 5 4 9 5 2 |
| J 10 8 6 9 8 2 10 9 7 3 6 4
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 8. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 6 3 10 K 10 5 4 3 9 5 4 2 |
| Q J 10 8 J 9 8 2 Q 9 7 6 6
|
| 6 S → 11 + 6 S → 11 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 10 3 J 9 2 K 10 9 6 9 5 |
| Q 8 6 10 8 Q 7 5 4 3 6 4 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 10. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 8 6 3 J 9 10 9 7 6 6 4 |
| Q 10 10 8 2 K Q 5 4 3 9 5 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| Simulation 8Z02 Main | | Top Slam: 5-3 Hearts or 4-4 Clubs |
| 11. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 10 8 3 9 Q 10 5 4 3 9 5 4 |
| A J 6 J 10 8 2 K 9 7 6 6 2
|
| 6 S → 11 + 6 S → 11 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 12. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 6 10 9 8 Q 10 7 5 3 9 5 2 |
| Q J 10 8 3 J 2 K 9 6 4 6 4
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 13. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 10 8 6 3 9 8 2 K 9 6 4 4 |
| A Q J 10 Q 10 7 5 3 9 6 5 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 14. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 8 6 9 8 2 Q 7 5 9 4 2 |
| J 10 3 J 10 K 10 9 6 4 3 6 5
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 15. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 J 10 9 2 Q 10 6 4 5 2 |
| A 8 6 3 8 K 9 7 5 3 9 6 4
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 16. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 10 J 10 9 K 9 6 5 4 9 5 |
| Q 8 6 3 8 2 Q 10 7 3 6 4 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 17. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 8 3 9 8 2 Q 7 6 3 5 |
| A 6 J 10 K 10 9 5 4 9 6 4 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 18. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 8 6 3 8 Q 10 7 5 9 5 4 2 |
| Q J 10 J 10 9 2 K 9 6 4 3 6
|
| 6 S → 11 + 6 S → 11 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 19. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 8 3 J 9 10 9 6 5 6 5 4 |
| Q 10 6 10 8 2 K Q 7 4 3 9 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 20. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 8 J 2 Q 10 5 4 9 6 5 4 |
| Q 10 6 3 10 9 8 K 9 7 6 3 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| Simulation 8Z02 Main | | Top Slam: 5-3 Hearts or 4-4 Clubs |
| 72. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J J 10 2 K 9 6 4 9 5 4 2 |
| Q 10 8 6 3 9 8 Q 10 7 5 3 6
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 212. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| 10 8 6 J 10 Q 10 6 3 9 6 5 2 |
| A Q J 3 9 8 2 K 9 7 5 4 4
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 446. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q J 10 8 9 7 5 4 3 5 4 2 |
| 8 6 3 J 10 9 2 K Q 10 6 9 6
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 652. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 8 9 2 K 7 5 4 9 5 4 2 |
| A 10 6 3 J 10 8 Q 10 9 6 3 6
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 700. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 6 3 9 K 9 7 5 3 9 6 5 |
| Q 10 8 J 10 8 2 Q 10 6 4 4 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 816. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 6 J 10 9 K 10 6 4 6 5 4 2 |
| Q J 10 8 3 8 2 Q 9 7 5 3 9
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 1158. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 10 3 J 8 K Q 7 5 9 6 4 2 |
| A J 8 6 10 9 2 10 9 6 4 3 5
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 1316. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 8 J 8 Q 9 6 5 9 6 4 2 |
| A 10 6 3 10 9 2 K 10 7 4 3 5
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 1622. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| 10 8 3 J 10 K Q 10 5 9 6 5 2 |
| A Q J 6 9 8 2 9 7 6 4 3 4
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 2223. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 8 9 2 K Q 10 4 9 6 5 2 |
| A 10 6 3 J 10 8 9 7 6 5 3 4
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| Simulation 8Z02 Main | | Top Slam: 5-3 Hearts or 4-4 Clubs |
| 2338. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 6 J 10 Q 10 9 4 9 6 5 4 |
| A 10 8 3 9 8 2 K 7 6 5 3 2
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 2388. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| 10 8 3 10 2 K 9 7 3 9 6 5 2 |
| A Q J 6 J 9 8 Q 10 6 5 4 4
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 2420. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 6 3 10 8 K 9 7 5 9 6 5 4 |
| A Q 10 8 J 9 2 Q 10 6 4 3 2
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 2694. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 8 3 9 2 K Q 10 9 9 6 5 2 |
| A J 10 6 J 10 8 7 6 5 4 3 4
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 2707. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 10 2 Q 9 7 4 9 6 4 2 |
| A 8 6 3 J 9 8 K 10 6 5 3 5
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 2727. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 10 8 6 J 9 K Q 6 9 6 5 4 |
| A J 3 10 8 2 10 9 7 5 4 3 2
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 2730. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 9 8 2 Q 9 6 5 9 6 4 2 |
| J 10 8 6 3 J 10 K 10 7 4 3 5
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 2750. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 10 8 6 3 — 9 7 6 5 4 3 6 4 |
| Q J J 10 9 8 2 K Q 10 9 5 2
|
| 6 S → 12 + 6 S → 10
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 2940. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 3 J 10 9 K 7 6 5 9 5 4 2 |
| Q J 10 8 6 8 2 Q 10 9 4 3 6
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 3226. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| 8 6 3 10 2 Q 10 9 7 9 6 5 2 |
| A Q J 10 J 9 8 K 6 5 4 3 4
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| Simulation 8Z02 Main | | Top Slam: 5-3 Hearts or 4-4 Clubs |
| 3487. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 10 8 6 J 2 K Q 9 9 6 5 2 |
| A Q 3 10 9 8 10 7 6 5 4 3 4
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 3571. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 10 6 8 Q 7 6 5 4 9 4 2 |
| J 8 3 J 10 9 2 K 10 9 3 6 5
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 3752. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 10 3 10 Q 9 6 5 4 9 6 5 |
| J 8 6 J 9 8 2 K 10 7 3 4 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 3886. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| 8 6 3 J 10 K Q 7 6 9 6 5 4 |
| A Q J 10 9 8 2 10 9 5 4 3 2
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 4026. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 10 6 10 10 9 6 5 4 3 9 6 2 |
| Q J 8 3 J 9 8 2 K Q 7 5 4
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 4157. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 10 8 9 8 Q 9 6 4 9 6 5 2 |
| A J 6 3 J 10 2 K 10 7 5 3 4
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 4313. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 8 6 J 10 2 Q 9 7 4 4 |
| A 3 9 8 K 10 6 5 3 9 6 5 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 4421. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 8 6 8 9 7 6 5 4 3 6 4 |
| J 10 3 J 10 9 2 K Q 10 9 5 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 4460. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 8 9 9 7 6 5 4 3 9 5 2 |
| J 10 6 3 J 10 8 2 K Q 10 6 4
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 4676. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 8 6 10 2 K 6 5 3 9 5 4 2 |
| A J 10 3 J 9 8 Q 10 9 7 4 6
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| Simulation 8Z02 Main | | Top Slam: 5-3 Hearts or 4-4 Clubs |
| 5233. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 10 8 6 3 10 9 2 K 10 7 4 9 |
| A Q J 8 Q 9 6 5 3 6 5 4 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 5240. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 10 3 8 Q 10 7 4 3 9 6 2 |
| J 8 6 J 10 9 2 K 9 6 5 5 4
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 5347. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| 10 8 10 8 Q 10 9 7 6 5 3 5 4 |
| A Q J 6 3 J 9 2 K 4 9 6 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 5388. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 10 3 J 10 K 7 5 3 9 6 5 4 |
| A Q 8 6 9 8 2 Q 10 9 6 4 2
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 5619. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q J 10 10 Q 10 9 4 3 6 4 2 |
| 8 6 3 J 9 8 2 K 7 6 5 9 5
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 5704. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 8 3 2 K 9 7 5 4 9 6 4 |
| Q 10 6 J 10 9 8 Q 10 6 3 5 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 5855. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 6 3 J 8 2 K 5 4 3 6 |
| A 8 10 9 Q 10 9 7 6 9 5 4 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 6025. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 8 3 9 2 Q 10 5 4 9 6 5 4 |
| A Q 10 6 J 10 8 K 9 7 6 3 2
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 6310. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 8 J 10 2 K 10 9 3 9 6 5 4 |
| Q J 10 6 3 9 8 Q 7 6 5 4 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 6481. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J J 9 8 Q 9 6 4 9 6 5 2 |
| Q 10 8 6 3 10 2 K 10 7 5 3 4
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| Simulation 8Z02 Main | | Top Slam: 5-3 Hearts or 4-4 Clubs |
| 6669. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 10 8 3 J K 10 7 6 3 6 4 2 |
| Q J 6 10 9 8 2 Q 9 5 4 9 5
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 6706. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 6 3 8 2 K 7 6 5 9 5 4 2 |
| A Q 10 8 J 10 9 Q 10 9 4 3 6
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 6870. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 10 8 10 8 Q 5 4 3 9 6 5 2 |
| A J 6 3 J 9 2 K 10 9 7 6 4
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 6917. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 10 8 6 3 J 8 2 K Q 7 3 6 |
| A J 10 9 10 9 6 5 4 9 5 4 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 6999. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q J 3 10 Q 10 9 7 3 6 4 2 |
| 10 8 6 J 9 8 2 K 6 5 4 9 5
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 7186. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 10 6 9 2 K 10 7 3 9 6 4 2 |
| A Q 8 3 J 10 8 Q 9 6 5 4 5
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 7384. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 10 9 8 2 K 9 7 4 9 6 |
| A 8 6 3 J Q 10 6 5 3 5 4 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 7845. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q J 2 Q 9 7 6 3 9 5 4 2 |
| J 10 8 6 3 10 9 8 K 10 5 4 6
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 7971. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 8 6 10 8 K Q 9 4 9 5 4 2 |
| A J 10 3 J 9 2 10 7 6 5 3 6
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 7982. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 8 10 9 K Q 3 9 6 5 2 |
| A 6 3 J 8 2 10 9 7 6 5 4 4
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| Simulation 8Z02 Main | | Top Slam: 5-3 Hearts or 4-4 Clubs |
| 8040. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 10 3 J 8 K 10 7 5 9 6 5 4 |
| A J 8 6 10 9 2 Q 9 6 4 3 2
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 8072. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 3 J 9 Q 10 9 6 5 4 3 6 4 |
| A Q 10 8 6 10 8 2 K 7 9 5 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 8137. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 8 6 8 10 9 7 4 3 9 6 4 |
| Q 10 3 J 10 9 2 K Q 6 5 5 2
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 8398. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 10 6 J 9 K Q 10 7 9 5 4 2 |
| A J 8 3 10 8 2 9 6 5 4 3 6
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 8544. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A 10 9 8 2 K Q 10 9 9 6 4 2 |
| Q J 8 6 3 J 10 7 6 5 4 3 5
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 8738. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 6 10 9 K 10 6 3 9 5 4 2 |
| A 10 8 3 J 8 2 Q 9 7 5 4 6
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9086. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 10 3 10 9 2 10 9 7 6 5 4 — |
| Q 8 6 J 8 K Q 3 9 6 5 4 2
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9307. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 9 2 K 10 5 3 9 6 4 2 |
| A 8 6 3 J 10 8 Q 9 7 6 4 5
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9527. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 6 3 10 K 9 7 5 4 5 4 2 |
| Q 10 8 J 9 8 2 Q 10 6 3 9 6
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9751. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 8 3 9 2 K 6 4 3 9 6 4 2 |
| A Q 10 6 J 10 8 Q 10 9 7 5 5
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| Simulation 8Z02 Main | | Top Slam: 5-3 Hearts or 4-4 Clubs |
| 9981. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 6 J 9 8 K 7 6 4 6 5 4 |
| J 10 8 3 10 2 Q 10 9 5 3 9 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9982. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A J 10 J 9 8 Q 9 6 4 9 6 2 |
| Q 8 6 3 10 2 K 10 7 5 3 5 4
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9983. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 6 J 10 9 8 2 K 10 7 6 2 |
| A 10 8 3 — Q 9 5 4 3 9 6 5 4
|
| 6 S → 10 + 6 S → 9
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9984. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 10 8 J 8 2 K 10 9 5 4 2 |
| J 6 3 10 9 Q 7 6 3 9 6 5 4
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9985. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 10 3 9 8 Q 9 7 3 9 6 5 4 |
| A Q 8 6 J 10 2 K 10 6 5 4 2
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9986. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 8 6 J 10 8 K Q 9 7 4 5 4 |
| A Q 10 3 9 2 10 6 5 3 9 6 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9987. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 3 10 8 7 6 5 4 9 5 4 |
| A 8 6 J 9 2 K Q 10 9 3 6 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9988. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q 8 6 3 J 2 Q 7 6 4 9 5 4 |
| A J 10 10 9 8 K 10 9 5 3 6 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9989. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 6 3 J 2 Q 10 4 3 9 6 5 4 |
| A Q 10 8 10 9 8 K 9 7 6 5 2
|
| 6 S → 11 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9990. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 8 6 10 Q 10 7 6 4 4 2 |
| A 3 J 9 8 2 K 9 5 3 9 6 5
|
| 6 S → 11 + 6 S → 11 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| Simulation 8Z02 Main | | Top Slam: 5-3 Hearts or 4-4 Clubs |
| 9991. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 8 6 J 8 2 K Q 9 7 5 4 |
| A 10 3 10 9 10 6 5 4 3 9 6 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9992. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 3 J 8 2 K 10 9 3 9 5 2 |
| A 10 8 6 10 9 Q 7 6 5 4 6 4
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9993. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J 10 8 J 9 8 K Q 7 3 6 5 |
| A 6 3 10 2 10 9 6 5 4 9 4 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9994. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q 10 6 J 9 K 10 6 5 3 4 2 |
| J 8 3 10 8 2 Q 9 7 4 9 6 5
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9995. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q J 8 9 2 9 6 4 3 9 6 4 |
| 10 6 3 J 10 8 K Q 10 7 5 5 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9996. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| Q J J 9 9 6 5 4 3 6 5 4 2 |
| A 10 8 6 3 10 8 2 K Q 10 7 9
|
| 6 S → 12 + 6 S → 11
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9997. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 10 3 J 9 8 2 K Q 5 3 5 2 |
| A Q 8 6 10 10 9 7 6 4 9 6 4
|
| 6 S → 11 + 6 S → 11 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9998. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| J 10 6 J 10 K 10 9 7 6 5 6 2 |
| A Q 8 3 9 8 2 Q 4 3 9 5 4
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 9999. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| A Q J 10 8 2 K 6 5 4 3 6 5 |
| 10 8 6 3 J 9 Q 10 9 7 9 4 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| 10000. | K 9 7 5 2 K 7 4 8 K Q J 3
| |
| 10 3 10 9 Q 10 7 6 5 4 9 5 4 |
| A Q J 8 6 J 8 2 K 9 3 6 2
|
| 6 S → 12 6 S → 12 +
| 4 A Q 6 5 3 A J 2 A 10 8 7 | |
| Simulation 8Z02 Main | | Top Slam: 5-3 Hearts or 4-4 Clubs |
© 2012 Richard Pavlicek