Simulation 8Z03 Main
|  Diamonds or Notrump?
|
by Richard Pavlicek |
After partner opens 2 NT, it is routine via Stayman to seek a 4-4 major fit, which usually provides a superior game or slam than notrump. Suppose you discover that no 4-4 major fit exists. Is it beneficial (presuming IMP scoring) to investigate a 4-4 minor fit when you have the high cards to bid 6 NT? Recently a friend asked about the following North hand:
| Q 4 3 2
3 2
A Q J 10
K J 2 |
|  | |
West
Pass Pass | North
3  ? | East
Pass | South 2 NT1 3  |
Should North seek a 4-4 diamond fit or just bid 6 NT?
A difficult question. While 6
in a 4-4 fit will usually produce a better slam, in the majority of cases it just loses 2 IMPs; plus there are some cases where only 6 NT makes, e.g., with a spade ruff looming. Only a simulation might provide a solution.
To determine the answer I created 10,000 random deals with the North hand fixed, and the others constrained to match the auction, plus South having a diamond fit: South HCP 20-21; freakness less than 3 (balanced); no 4-card major; 4 or 5 diamonds. Further, to eliminate deals where an opponent might have bid: East freakness less than 9; West freakness less than 9.
As the table confirms, there is no question that 6
makes more often, and at total points it reaps a hefty profit: over 57 percent nonvul and almost 64 percent vul. But look at the IMP totals! A complete turnaround, as bidding 6 NT every time is the clear winner. At matchpoints (or board-a-match) the gain for 6 NT is expectedly huge, scoring over 86 percent.
Sadly, this brings out a serious defect in IMP scoring. Instead of rewarding the best contract, it rewards the higher scoring strain, which sabotages the main purpose of bidding. Accurate bidding to a superior minor slam makes you a loser in the long run. Some years ago I proposed a solution to fix this, but the governing bodies are like ostriches with their heads in the sand. See Broken Scoring Fix.
Results for 10,000 Deals
Contract | Trick Avg | Make Pct | Matchpoints | Nonvul TPs | Nonvul IMPs | Vul TPs | Vul IMPs
|
---|
6  | 12.232 | 92.26 | 2796 13.98 | 1077900 57.15 | 15637 44.45 | 1635900 63.89 | 17949 46.98
|
6 NT | 12.033 | 83.49 | 17204 86.02 | 808340 42.85 | 19544 55.55 | 924640 36.11 | 20254 53.02 |
Trick Avg shows the average number of tricks won by declarer. Make Pct shows the percent of time the contract is made. Matchpoints shows the raw total (European style: 2 for a win, 1 for a tie) and effective scoring percent. Total Points and IMPs are shown similarly as raw totals and percents, with separate accountings for N-S nonvulnerable and N-S vulnerable. (Vulnerability does not affect matchpoints.)
Below are 100 of the 10,000 deals, including the first 10 and last 10, and selected deals in-between where the choice of contract made a significant difference. The number of tricks won by declarer is shown for each contract, assuming double-dummy play by both sides.
Seed 6B2C0F4A 10000
1. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10
A 10 9 7 5 4
7 6 4
Q 7 5 |  | J 9 8 7 5
8 6
9 3
10 8 6 3 |
6 12 6 NT 12 | A K 6
K Q J
K 8 5 2
A 9 4 |
2. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 7 6 5
J 8
5 2
9 8 6 4 3 |  | 10 9
K Q 10 9 5 4
8 7 6
10 5 |
6 12 6 NT 11 | A K 8
A 7 6
K 9 4 3
A Q 7 |
3. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 9 8
K Q 8 6 5
7
6 5 4 |  | 7 5
J 10 9 7
4 3 2
9 8 7 3 |
6 12 6 NT 12 | A K 6
A 4
K 9 8 6 5
A Q 10 |
4. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 9 8
9 8 7 6 5
6 5
9 8 3 |  | 10 7 5
Q J 4
9 4 2
Q 6 5 4 |
6 13 6 NT 13 | A K 6
A K 10
K 8 7 3
A 10 7 |
5. | Q 4 3 2
3 2
A Q J 10
K J 2 |
8 5
K Q 9 5
9 5 4 3
10 4 3 |  | J 10 9 7 6
10 8 7 6
7
9 7 5 |
6 13 6 NT 12 | A K
A J 4
K 8 6 2
A Q 8 6 |
6. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 6 5
J 8 7 5
9 8 3 2
7 4 |  | A 9 8 7
Q 10 6 4
4
10 8 5 3 |
6 12 6 NT 12 | K J
A K 9
K 7 6 5
A Q 9 6 |
7. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 6 5
9 7 6 4
6 5 4
8 6 3 |  | 10 9 8
A 10 8 5
8
Q 10 9 5 4 |
6 12 6 NT 12 | A K 7
K Q J
K 9 7 3 2
A 7 |
8. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 8 7 6
K 10 9
4 2
10 9 7 3 |  | 10 9
Q J 8 5 4
8 7 3
8 6 5 |
6 12 6 NT 11 | A K 5
A 7 6
K 9 6 5
A Q 4 |
9. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10
J 10 9 7 6 4
2
Q 8 6 5 |  | K 8 7 6
8 5
9 8 7 3
9 4 3 |
6 12 6 NT 12 | A 9 5
A K Q
K 6 5 4
A 10 7 |
10. | Q 4 3 2
3 2
A Q J 10
K J 2 |
8 7
Q J 9 8
9 7 5 3
7 4 3 |  | K J 9 6
10 7 6 5 4
4
10 8 5 |
6 12 6 NT 12 | A 10 5
A K
K 8 6 2
A Q 9 6 |
Simulation 8Z03 Main |  | Top Diamonds or Notrump? |
24. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 7 6 5
J 10 4
4
10 8 5 4 3 |  | 10 9
K Q 8 6 5
9 7 5 2
9 6 |
6 12 6 NT 11 | A K 8
A 9 7
K 8 6 3
A Q 7 |
29. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 7 6
K J 7 6
8
9 8 6 3 |  | 9 5
Q 10 9 8
9 7 5 3
10 5 4 |
6 12 6 NT 11 | A K 8
A 5 4
K 6 4 2
A Q 7 |
41. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 7 5
8 7 6
8 7
10 8 4 3 |  | 9 6
Q J 10 9 4
K 5 3
7 6 5 |
6 12 6 NT 11 | A K 8
A K 5
9 6 4 2
A Q 9 |
47. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 9 7 5
J 10 4
9 2
10 8 6 5 |  | K J 8
Q 9 8 7 5
8 5 4
4 3 |
6 12 6 NT 11 | A 6
A K 6
K 7 6 3
A Q 9 7 |
62. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K 9
K J 8 5
8 6
9 8 7 5 4 |  | 10 8 7 5
10 7 6 4
7 5 3
10 3 |
6 12 6 NT 11 | A J 6
A Q 9
K 9 4 2
A Q 6 |
65. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 9
J 7 5
8 6 3
9 8 7 6 5 |  | K J 7 5
Q 10 8 6 4
4
10 4 3 |
6 12 6 NT 11 | A 8 6
A K 9
K 9 7 5 2
A Q |
73. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 9
J 10 7 6 5 4
8 6
10 5 4 |  | K 10 6 5
Q 9
5 4 3
9 8 7 6 |
6 12 6 NT 10 | A 8 7
A K 8
K 9 7 2
A Q 3 |
80. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 7 6 5
K J 10 9 6
7 4 2
7 |  | J 9
8 5 4
9 3
Q 10 9 8 6 3 |
6 12 6 NT 11 | A K 8
A Q 7
K 8 6 5
A 5 4 |
88. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10
Q 8 6
8 7 5 3
Q 10 8 7 4 |  | K 9 8 7 6
10 9 7 5 4
6
6 5 |
6 12 6 NT 11 | A J 5
A K J
K 9 4 2
A 9 3 |
102. | Q 4 3 2
3 2
A Q J 10
K J 2 |
A 10 8 6 5
J 10 7
8 7
6 5 4 |  | 9 7
9 8 6 5 4
9 4 3
Q 10 7 |
6 12 6 NT 11 | K J
A K Q
K 6 5 2
A 9 8 3 |
Simulation 8Z03 Main |  | Top Diamonds or Notrump? |
108. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K 9 6 5
J 10 6
9 6 5
10 7 5 |  | J 10
Q 8 7 5 4
7 3
9 8 6 4 |
6 12 6 NT 11 | A 8 7
A K 9
K 8 4 2
A Q 3 |
113. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 6
9 7 5
8 5
9 8 7 6 5 3 |  | A 9 7 5
Q J 10 8 4
9 7 4
4 |
6 12 6 NT 11 | K J 8
A K 6
K 6 3 2
A Q 10 |
126. | Q 4 3 2
3 2
A Q J 10
K J 2 |
9 6 5
Q 10 9
6 5
10 9 6 5 4 |  | K J 10 8
J 8 7 5 4
3 2
7 3 |
6 12 6 NT 11 | A 7
A K 6
K 9 8 7 4
A Q 8 |
129. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K 9 6
Q 9 7 5 4
9 8 5 4 3 |  | 10 8 7 5
J 10 8
8 6 5 4 3
6 |
6 11 6 NT 12 | A J
A K 6
K 9 7 2
A Q 10 7 |
138. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K 10 9 6
Q 6 4
9 4
10 8 6 4 |  | J 7
J 10 8 7 5
7 6 5
7 5 3 |
6 12 6 NT 11 | A 8 5
A K 9
K 8 3 2
A Q 9 |
140. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 8 7
Q 10 8 7 5 4
2
10 6 4 |  | A 10 9 5
9 6
8 7 3
8 7 5 3 |
6 12 6 NT 11 | K 6
A K J
K 9 6 5 4
A Q 9 |
147. | Q 4 3 2
3 2
A Q J 10
K J 2 |
9 6
A J 10 7
8 5 3 2
8 7 5 |  | J 10 8 7
9 6 5 4
9
9 6 4 3 |
6 12 6 NT 11 | A K 5
K Q 8
K 7 6 4
A Q 10 |
154. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 8
K J 10 9 8
8 7 4
8 6 3 |  | 10 9 7 6
Q 6 5
3 2
10 9 7 4 |
6 12 6 NT 11 | A K 5
A 7 4
K 9 6 5
A Q 5 |
156. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 9
A J 10 9 4
7 4 2
10 9 8 |  | 8 7 6 5
7 6 5
6 3
Q 7 5 4 |
6 12 6 NT 11 | A K J
K Q 8
K 9 8 5
A 6 3 |
162. | Q 4 3 2
3 2
A Q J 10
K J 2 |
A 8 6 5
J 6 5 4
7 6 3
8 3 |  | 10 9
Q 10 9 7
9 5
10 9 7 6 5 |
6 12 6 NT 11 | K J 7
A K 8
K 8 4 2
A Q 4 |
Simulation 8Z03 Main |  | Top Diamonds or Notrump? |
169. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 9 8 7 6
Q 8 6 5
8 4
8 5 |  | 10
J 10 9 7
K 3 2
9 7 6 4 3 |
6 12 6 NT 11 | A K 5
A K 4
9 7 6 5
A Q 10 |
176. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 7 6 5
6
7 5 2
10 9 7 6 5 |  | J 9
A Q 10 9 8 7 4
9 3
4 3 |
6 11 6 NT 12 | A K 8
K J 5
K 8 6 4
A Q 8 |
179. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K J 6 5
J 10 7
7 4 3
8 7 4 |  | 10 9
Q 9 6 5 4
6 2
10 9 5 3 |
6 12 6 NT 11 | A 8 7
A K 8
K 9 8 5
A Q 6 |
181. | Q 4 3 2
3 2
A Q J 10
K J 2 |
6
J 10 9 8
6 4
9 8 7 6 5 3 |  | K J 9 8 7
Q 7 6 5
8 7 3
10 |
6 12 6 NT 11 | A 10 5
A K 4
K 9 5 2
A Q 4 |
185. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 8 7 6
Q 9 8 5
9 8
9 7 6 |  | J 9
K J 7 4
7 6 3
10 8 4 3 |
6 12 6 NT 11 | A K 5
A 10 6
K 5 4 2
A Q 5 |
213. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 9
Q 10 9 8 4
7 6 2
9 8 5 |  | K J 8 6 5
7 6 5
5 3
7 6 4 |
6 12 6 NT 11 | A 7
A K J
K 9 8 4
A Q 10 3 |
225. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 8 6
Q 9 6
9 8
10 9 8 5 4 |  | K 10 9 7
J 10 7 5 4
6 4 2
6 |
6 12 6 NT 11 | A 5
A K 8
K 7 5 3
A Q 7 3 |
236. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10
Q 9 7 5
9 8 5 2
10 9 4 3 |  | K 9 8 6 5
J 8 6 4
7
7 6 5 |
6 12 6 NT 11 | A J 7
A K 10
K 6 4 3
A Q 8 |
244. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 6
Q 5 4
9 8 7 5
8 7 6 5 |  | J 9 8 7
K J 9 8 7
4
9 4 3 |
6 12 6 NT 11 | A K 5
A 10 6
K 6 3 2
A Q 10 |
260. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 9 7
10 9 5 4
6
10 9 7 6 5 |  | K 10 5
Q J 8 7
7 3 2
8 4 3 |
6 12 6 NT 11 | A 8 6
A K 6
K 9 8 5 4
A Q |
Simulation 8Z03 Main |  | Top Diamonds or Notrump? |
276. | Q 4 3 2
3 2
A Q J 10
K J 2 |
8
K 10 9 8 6 4
4 3 2
10 7 5 |  | K 10 9 7 6 5
J 5
7 5
9 8 3 |
6 12 6 NT 11 | A J
A Q 7
K 9 8 6
A Q 6 4 |
280. | Q 4 3 2
3 2
A Q J 10
K J 2 |
9 6
Q 10 9 8 7
7 6
9 8 6 3 |  | J 10 8 5
K 6 5
4 3 2
10 7 4 |
6 12 6 NT 11 | A K 7
A J 4
K 9 8 5
A Q 5 |
282. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 7 5
K 9 7 5 4
7 5
9 8 6 |  | K J 8 6
10 8 6
9 6 3
7 4 3 |
6 12 6 NT 10 | A 9
A Q J
K 8 4 2
A Q 10 5 |
283. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K 9 8
K 7 5
9 8 4 3
8 6 4 |  | 10 7 6 5
J 10 9 6 4
2
10 9 5 |
6 12 6 NT 11 | A J
A Q 8
K 7 6 5
A Q 7 3 |
287. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10
J 9 7 5 4
9 6
9 8 7 3 |  | K 9 8 6 5
Q 10 8
8 5 4
10 6 |
6 12 6 NT 11 | A 7
A K 6
K 7 3 2
A Q 5 4 |
293. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 7 6
Q 10 8 7 6 4
3
7 3 |  | K 9 5
9 5
8 7 5
9 8 6 5 4 |
6 12 6 NT 11 | A 8
A K J
K 9 6 4 2
A Q 10 |
296. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K 10 9 6 5
J 10 9
8 3
9 6 5 |  | 7
Q 7 6 5 4
9 6 2
10 8 7 4 |
6 12 6 NT 11 | A J 8
A K 8
K 7 5 4
A Q 3 |
314. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 9 6
J 10 4
8 5 3
10 8 7 5 |  | K 8 5
9 8 7 6 5
K 6
9 6 3 |
6 12 6 NT 11 | A J 7
A K Q
9 7 4 2
A Q 4 |
333. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 8 5
Q
6 5 4
10 9 7 5 4 |  | 9 6
A 9 8 7 6 5 4
7
8 6 3 |
6 11 6 NT 12 | A K 7
K J 10
K 9 8 3 2
A Q |
340. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 9 8 7 5
A Q 10 5
5 4 3
10 |  | J 6
9 8 6 4
6 2
7 6 5 4 3 |
6 12 6 NT 11 | A K
K J 7
K 9 8 7
A Q 9 8 |
Simulation 8Z03 Main |  | Top Diamonds or Notrump? |
342. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 7
J 9 7
5 4 3 2
10 8 6 5 |  | K 9 8 6
K 8 6 5 4
8
9 7 4 |
6 12 6 NT 11 | A J 5
A Q 10
K 9 7 6
A Q 3 |
343. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K J 9 7 5
Q J 8 5
6 2
6 4 |  | 8
10 9 7 4
7 4 3
10 8 7 5 3 |
6 12 6 NT 11 | A 10 6
A K 6
K 9 8 5
A Q 9 |
344. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 9 7
J 8 7 6 5 4
10 7 6 |  | 8 6
K Q 9
9 5 4 3 2
9 4 3 |
6 11 6 NT 12 | A K 5
A 10
K 8 7 6
A Q 8 5 |
352. | Q 4 3 2
3 2
A Q J 10
K J 2 |
7
Q 10 8 7 5
8 7
10 8 5 4 3 |  | K 10 9 8 5
9 6 4
6 4 3
Q 6 |
6 12 6 NT 11 | A J 6
A K J
K 9 5 2
A 9 7 |
357. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10
J 9 5
9 7 5
10 9 8 7 6 |  | K 8 7 6
Q 10 8 7 6
8 2
4 3 |
6 12 6 NT 11 | A 9 5
A K 4
K 6 4 3
A Q 5 |
359. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 9
Q 9 8 7 6 5 4
9 6 5
3 |  | K 10 8 7 6
J
8 4
10 8 6 5 4 |
6 12 6 NT 11 | A 5
A K 10
K 7 3 2
A Q 9 7 |
364. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 8 7
Q 10 9 7 5 4
9 4 3
6 |  | K 9 6
8 6
8 2
10 9 7 5 4 3 |
6 12 6 NT 11 | A 10 5
A K J
K 7 6 5
A Q 8 |
367. | Q 4 3 2
3 2
A Q J 10
K J 2 |
A J 10 9 8 6
Q 8 7
9
9 6 3 |  | 5
10 9 6 5 4
7 6 4 3
8 5 4 |
6 11 6 NT 12 | K 7
A K J
K 8 5 2
A Q 10 7 |
371. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 6
K J 10 9 7
2
10 9 8 5 4 |  | 10 9 8 7
8 5 4
8 7 5 4
Q 3 |
6 12 6 NT 11 | A K 5
A Q 6
K 9 6 3
A 7 6 |
372. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 8 5
K 10 8 7 5
6 5 4 2
10 |  | K 9 7 6
J 9 4
8
9 8 7 6 4 |
6 12 6 NT 11 | A J
A Q 6
K 9 7 3
A Q 5 3 |
Simulation 8Z03 Main |  | Top Diamonds or Notrump? |
373. | Q 4 3 2
3 2
A Q J 10
K J 2 |
7 6
K 8 7 5
7 3
Q 10 9 8 7 |  | J 10 9 8
J 10 9 4
5 4 2
5 3 |
6 12 6 NT 11 | A K 5
A Q 6
K 9 8 6
A 6 4 |
383. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 8 6
K J 7
6 3
9 7 5 3 |  | 7 5
Q 10 8 5 4
9 8 7
10 8 6 |
6 12 6 NT 11 | A K 9
A 9 6
K 5 4 2
A Q 4 |
389. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 9 6
K 10 9 8 7
9 6
10 7 4 |  | K 10 8 7
6 5 4
8 5 2
9 8 3 |
6 12 6 NT 10 | A 5
A Q J
K 7 4 3
A Q 6 5 |
407. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 6
9 8 7 6 5 4
8 5
10 8 4 |  | J 9 8 5
A 10
9 4 3
Q 9 7 6 |
6 12 6 NT 11 | A K 7
K Q J
K 7 6 2
A 5 3 |
416. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J
J 9 8 7 4
9 8 7
10 6 4 3 |  | K 10 9 8 7 5
Q 10 6
6 4
9 5 |
6 12 6 NT 11 | A 6
A K 5
K 5 3 2
A Q 8 7 |
433. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 9 7 6
Q 9 8 5
5 3
4 3 |  | 5
J 10 7 6 4
7 4 2
Q 10 9 8 |
6 12 6 NT 11 | A K 8
A K
K 9 8 6
A 7 6 5 |
435. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 7
Q 9 7 4
9 6 5
A 10 6 5 |  | 10 9 8 6
10 8 6 5
4 2
9 8 7 |
6 12 6 NT 11 | A K 5
A K J
K 8 7 3
Q 4 3 |
456. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 7 5
Q 9 8 4
8 3 2
9 5 |  | K 9 8
10 7 6 5
7 6
8 7 4 3 |
6 12 6 NT 11 | A 6
A K J
K 9 5 4
A Q 10 6 |
458. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 9 7 5
Q J 10 6
10 8 7 6 4 |  | 10 8 6
K 9 8 4
9 8 6 4 3
3 |
6 11 6 NT 12 | A K
A 7 5
K 7 5 2
A Q 9 5 |
459. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 9 8 7 6
7 6 4
9 8 6 4
9 |  | J
K J 10 9 8 5
5
Q 10 8 7 3 |
6 12 6 NT 11 | A K 5
A Q
K 7 3 2
A 6 5 4 |
Simulation 8Z03 Main |  | Top Diamonds or Notrump? |
461. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 8
8 6 5 4
8 7 5 2
8 5 3 |  | K 9 6 5
Q J 10 9
3
10 9 7 6 |
6 12 6 NT 11 | A 10 7
A K 7
K 9 6 4
A Q 4 |
464. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 8 7 6
Q 9 6 5 4
4
10 6 5 |  | A 10 5
10 8 7
8 6 5 3
9 4 3 |
6 12 6 NT 11 | K 9
A K J
K 9 7 2
A Q 8 7 |
476. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K J 8 5
9 4
6 4 2
10 8 5 3 |  | 10 6
Q J 10 8 7 5
9 5
9 7 6 |
6 12 6 NT 11 | A 9 7
A K 6
K 8 7 3
A Q 4 |
493. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 9 8 6
A 6 5
8 5
9 8 7 4 |  | 7 5
J 10 9 8 7
9 7 4
10 6 5 |
6 12 6 NT 11 | A K 10
K Q 4
K 6 3 2
A Q 3 |
503. | Q 4 3 2
3 2
A Q J 10
K J 2 |
6 5
J 6 4
8 7
10 9 8 7 5 4 |  | K J 10 9 8
Q 10 9 8 5
5 3
6 |
6 12 6 NT 11 | A 7
A K 7
K 9 6 4 2
A Q 3 |
504. | Q 4 3 2
3 2
A Q J 10
K J 2 |
A 10
Q J 9 8 7
2
10 9 8 6 5 |  | 9 8 6 5
6 5 4
9 6 4 3
7 4 |
6 12 6 NT 11 | K J 7
A K 10
K 8 7 5
A Q 3 |
506. | Q 4 3 2
3 2
A Q J 10
K J 2 |
6
Q 9 7 6 4
8 3 2
10 7 5 4 |  | K J 10 8 7 5
J 10 5
9 7
8 6 |
6 12 6 NT 11 | A 9
A K 8
K 6 5 4
A Q 9 3 |
509. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 8 7 6
Q 10 8 5
6 3
8 7 3 |  | A 9 5
9 7 6 4
8 5 4
9 5 4 |
6 12 6 NT 11 | K 10
A K J
K 9 7 2
A Q 10 6 |
520. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 8 7 5
J 9 7 6 5 4
7 4
9 |  | 10 9 6
10 8
8 6 2
A 10 7 6 5 |
6 11 6 NT 12 | A K
A K Q
K 9 5 3
Q 8 4 3 |
528. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 6
Q 10 8 6 5 4
4 3
10 7 3 |  | K 10 8 7 5
J 9
9 7 6
9 5 4 |
6 12 6 NT 11 | A 9
A K 7
K 8 5 2
A Q 8 6 |
Simulation 8Z03 Main |  | Top Diamonds or Notrump? |
533. | Q 4 3 2
3 2
A Q J 10
K J 2 |
6
Q J 9 4
9 8
10 9 6 5 4 3 |  | K 10 9 8 5
10 8 6 5
7 6 5
8 |
6 12 6 NT 11 | A J 7
A K 7
K 4 3 2
A Q 7 |
538. | Q 4 3 2
3 2
A Q J 10
K J 2 |
9
Q J 8 7 6 5
6
9 8 7 4 3 |  | K J 10 8 6 5
10 9
8 4 2
6 5 |
6 12 6 NT 11 | A 7
A K 4
K 9 7 5 3
A Q 10 |
545. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 9 8 6
A 9 6 4
7 4
10 5 |  | 7
J 10 8 7
9 3 2
9 8 7 6 4 |
6 12 6 NT 11 | A K 5
K Q 5
K 8 6 5
A Q 3 |
548. | Q 4 3 2
3 2
A Q J 10
K J 2 |
7 6
K 9 8 7
9 6 3
Q 9 8 4 |  | J 10 9 8
J 10 5 4
7 2
7 6 5 |
6 12 6 NT 11 | A K 5
A Q 6
K 8 5 4
A 10 3 |
553. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 9 8 5
Q 8 7
9 5 2
7 5 |  | 6
J 10 6 5 4
4 3
Q 10 8 6 3 |
6 12 6 NT 11 | A K 7
A K 9
K 8 7 6
A 9 4 |
567. | Q 4 3 2
3 2
A Q J 10
K J 2 |
9 7 6
K J 10 9 6
9 6 2
7 4 |  | J 10 8 5
8 7 4
5
Q 10 9 8 5 |
6 12 6 NT 11 | A K
A Q 5
K 8 7 4 3
A 6 3 |
571. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J
Q 8 7
5 3 2
9 8 6 5 4 3 |  | K 10 7 6 5
10 9 6 5 4
8 7
10 |
6 12 6 NT 11 | A 9 8
A K J
K 9 6 4
A Q 7 |
577. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 7
J 8 7 6
7 3
10 6 5 4 3 |  | K 10 8 6 5
Q 10 9 4
8 2
9 7 |
6 12 6 NT 11 | A 9
A K 5
K 9 6 5 4
A Q 8 |
590. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 10 9 7 6
10 9 8 4
8 7
7 4 |  | 8 5
J 7 6 5
K 9 3
Q 10 9 3 |
6 12 6 NT 11 | A K
A K Q
6 5 4 2
A 8 6 5 |
592. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K 9 5
Q J 4
9 8 5 4 3
7 4 |  | 10 8 6
10 9 8 7 6 5
10 9 8 3 |
6 11 6 NT 12 | A J 7
A K
K 7 6 2
A Q 6 5 |
Simulation 8Z03 Main |  | Top Diamonds or Notrump? |
9991. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 8 7
8 7 6 5
9 5 4 2
8 3 |  | K J 6
J 10 9 4
3
Q 10 9 5 4 |
6 11 6 NT 11 | A 9 5
A K Q
K 8 7 6
A 7 6 |
9992. | Q 4 3 2
3 2
A Q J 10
K J 2 |
9 7
K 7 6
5 4 2
Q 10 9 8 5 |  | J 10 6 5
J 10 9 8 5
6
7 4 3 |
6 12 6 NT 12 | A K 8
A Q 4
K 9 8 7 3
A 6 |
9993. | Q 4 3 2
3 2
A Q J 10
K J 2 |
8
10 9 6
9 5 4
Q 10 9 7 6 3 |  | J 9 7 6 5
K J 7 5 4
8 2
4 |
6 13 6 NT 13 | A K 10
A Q 8
K 7 6 3
A 8 5 |
9994. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 9 8 7 5
Q 9 7
9 4 3 2
5 |  | 10 6
J 10 6 5 4
7
Q 9 8 4 3 |
6 13 6 NT 13 | A K
A K 8
K 8 6 5
A 10 7 6 |
9995. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 7 5
Q J 8 7
9 6 2
7 5 4 |  | K J 8
10 6 5 4
7 5
10 9 8 3 |
6 11 6 NT 10 | A 9 6
A K 9
K 8 4 3
A Q 6 |
9996. | Q 4 3 2
3 2
A Q J 10
K J 2 |
10 8 6 5
K J 10 9 5
4 3
9 3 |  | J 9
8 6 4
9 6 2
Q 8 7 6 4 |
6 12 6 NT 12 | A K 7
A Q 7
K 8 7 5
A 10 5 |
9997. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K J 8
J 10 7 6 5
9 4 2
9 8 |  | 10 9 6
9 8 4
8 5
Q 7 6 4 3 |
6 12 6 NT 12 | A 7 5
A K Q
K 7 6 3
A 10 5 |
9998. | Q 4 3 2
3 2
A Q J 10
K J 2 |
J 7 5
Q J 10 9 4
4
9 8 5 3 |  | K 9 8 6
8 6 5
7 6 3 2
6 4 |
6 12 6 NT 12 | A 10
A K 7
K 9 8 5
A Q 10 7 |
9999. | Q 4 3 2
3 2
A Q J 10
K J 2 |
9 8 7 6
A Q 10 7 6
6 2
9 7 |  | 10 5
J 5 4
8 7 4
8 6 5 4 3 |
6 11 6 NT 11 | A K J
K 9 8
K 9 5 3
A Q 10 |
10000. | Q 4 3 2
3 2
A Q J 10
K J 2 |
K 8 6
J 8 6
9 8 6
10 9 6 3 |  | J 7 5
Q 10 9 7 4
4 2
8 7 4 |
6 12 6 NT 12 | A 10 9
A K 5
K 7 5 3
A Q 5 |
Simulation 8Z03 Main |  | Top Diamonds or Notrump? |
© 2013 Richard Pavlicek