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
Table

West

Pass
Pass North

3
? East

Pass South
2 NT¹
3

1. 20-21

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

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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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 Table 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?

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

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

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