Simulation 8Z21 Main

Stayman or Not IV

by Richard Pavlicek

[First read Stayman or Not? and Parts II and III]

What about almost flat hands (4-4-3-2 shape) when the doubleton consists of two honors? Suppose:

J 7 4 3
K 5 4
Q J
A 9 7 2
Table

West

Pass North

? East
South
1 NT

Should you use Stayman? Or bid 3 NT directly?

To compare options I created 10,000 random deals with the North hand fixed. South 15-17 HCP; 4-5 spades; freakness 0-2 (balanced); and if five spades, doubleton must be J-x or better (my philosophy). Further, to exclude deals where West would interfere: West 0-14 HCP if balanced; 0-10 HCP if 4-4-4-1; or 0-11 revalued points if unbalanced with a 5+ card suit.

I thought this would be closer, but results clearly favor the spade fit, and the edge is great enough to overcome the loss through revelation. That is, using Stayman each time reveals information to the opponents to incur a slight loss — impossible to gauge exactly but surely less than 5 percent — which is more than offset by the big advantage when a spade fit is found. Stayman is the favorite in the long run.

Evidently 4-3-3-3 shape is the only justification to eschew Stayman.

Results for 10,000 Deals
Contract Trick Avg Make Pct Matchpoints Nonvul TPs Nonvul IMPs Vul TPs Vul IMPs
3 NT 8.986 68.09 7195 35.98 533080 40.26 11485 36.68 820380 40.90 13861 37.26
4 9.951 70.72 12805 64.03 791010 59.74 19828 63.32 1185460 59.10 23340 62.74

Results for 10,000 Deals
Contract	Trick Avg	Make Pct	Matchpoints	Nonvul TPs	Nonvul IMPs	Vul TPs	Vul IMPs
3 NT	8.986	68.09	7195 35.98	533080 40.26	11485 36.68	820380 40.90	13861 37.26
4	9.951	70.72	12805 64.03	791010 59.74	19828 63.32	1185460 59.10	23340 62.74

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 CBA55E97 10000

1. J 7 4 3
K 5 4
Q J
A 9 7 2
9 5 2
Q J 2
A 8 7
J 10 6 5 Table K 8
10 9 6
9 6 5 4 3 2
Q 3
3 NT 9
4 10 A Q 10 6
A 8 7 3
K 10
K 8 4

2. J 7 4 3
K 5 4
Q J
A 9 7 2
10 5 2
Q 10 8 6
10 6 5
8 5 4 Table A
9 7 3
K 9 8 7 4 3
K Q 10
3 NT 9
4 9 K Q 9 8 6
A J 2
A 2
J 6 3

3. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 10
Q 10 9 7
A 8 7 2
J 8 5 Table 8 6 5
J 8 3 2
9 4 3
K 10 6
3 NT 10
4 11 A K 9 2
A 6
K 10 6 5
Q 4 3

4. J 7 4 3
K 5 4
Q J
A 9 7 2
8 6 5 2
Q 10
K 8 7 4
J 6 3 Table 10
J 9 8 6
A 10 5 2
K 8 5 4
3 NT 8
4 9 A K Q 9
A 7 3 2
9 6 3
Q 10

5. J 7 4 3
K 5 4
Q J
A 9 7 2
9 8
10 9 8
K 8 7 6 5
5 4 3 Table A K 2
J 7 6
10 9 2
K 10 8 6
3 NT 8
4 9 Q 10 6 5
A Q 3 2
A 4 3
Q J

6. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 10 9 8
Q 8
K 5 3
J 10 8 3 Table 5
A 10 7 6
10 9 7 6 4
Q 5 4
3 NT 8
4 9 A K 6 2
J 9 3 2
A 8 2
K 6

7. J 7 4 3
K 5 4
Q J
A 9 7 2
A 9 8 2
10
K 10 8 7 5 3 2
6 Table 5
Q 9 8 7 3 2
6
K 10 8 5 3
3 NT 10
4 10 K Q 10 6
A J 6
A 9 4
Q J 4

8. J 7 4 3
K 5 4
Q J
A 9 7 2
8 2
J 9 6 2
K 10 9 4
J 8 6 Table A 10 6
Q 10 7
7 6 5
Q 10 4 3
3 NT 9
4 10 K Q 9 5
A 8 3
A 8 3 2
K 5

9. J 7 4 3
K 5 4
Q J
A 9 7 2
9 6
7 3 2
K 10 3
K J 8 6 4 Table Q 8 2
A J 9 8
8 7 6 4
10 3
3 NT 10
4 10 A K 10 5
Q 10 6
A 9 5 2
Q 5

10. J 7 4 3
K 5 4
Q J
A 9 7 2
K 10 9 5 2
9 6 3
K 10 9 6
8 Table —
A Q J 8 2
5 4 2
10 6 5 4 3
3 NT 6
4 7 A Q 8 6
10 7
A 8 7 3
K Q J

Simulation 8Z21 Main Top Stayman or Not IV

11. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 9 5 2
Q 10 6
10 4 2
J 10 5 Table 6
9 8 7 3 2
A 8 6 3
K Q 4
3 NT 9
4 9 A K 10 8
A J
K 9 7 5
8 6 3

17. J 7 4 3
K 5 4
Q J
A 9 7 2
6 5
J 7 6
K 8 6 5
Q 8 6 5 Table K 9 8
8 3 2
A 10 9 4 2
10 4
3 NT 8
4 11 A Q 10 2
A Q 10 9
7 3
K J 3

24. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 9 6
9 7 6
A 10 7 4
Q J 5 Table 8 5
10 8 2
K 8 6 5
10 8 6 3
3 NT 8
4 10 A K 10 2
A Q J 3
9 3 2
K 4

26. J 7 4 3
K 5 4
Q J
A 9 7 2
5 2
Q 10 7 6 2
A 9 2
K Q 8 Table Q 10 9
8 3
10 8 7 5 4
10 5 3
3 NT 9
4 9 A K 8 6
A J 9
K 6 3
J 6 4

28. J 7 4 3
K 5 4
Q J
A 9 7 2
A K Q 5 2
10
9 7 6
J 6 5 3 Table —
J 9 8 7 3 2
K 10 8 4 2
10 8
3 NT 9
4 9 10 9 8 6
A Q 6
A 5 3
K Q 4

34. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 10 8 6
Q 9
9 3
Q J 8 5 4 Table —
A J 8 3 2
10 8 7 5 4 2
6 3
3 NT 9
4 9 A K 9 5 2
10 7 6
A K 6
K 10

35. J 7 4 3
K 5 4
Q J
A 9 7 2
9 8 2
A Q 8 2
A 8 3 2
10 3 Table 6 5
J 10 7 3
10 9 7 4
K 8 4
3 NT 8
4 10 A K Q 10
9 6
K 6 5
Q J 6 5

39. J 7 4 3
K 5 4
Q J
A 9 7 2
10 9 6
—
K 10 9 8 6 5 3
10 8 6 Table A 2
A 10 8 7 6 3
7
J 5 4 3
3 NT 10
4 8 K Q 8 5
Q J 9 2
A 4 2
K Q

41. J 7 4 3
K 5 4
Q J
A 9 7 2
6
J 7 6 2
10 8 5 4 3
J 10 3 Table A K 9 8
10 8
K 9 7 6
Q 6 5
3 NT 8
4 10 Q 10 5 2
A Q 9 3
A 2
K 8 4

57. J 7 4 3
K 5 4
Q J
A 9 7 2
A 10
A 10 8 3
9 5 2
K 8 5 4 Table Q 9 6
7 6
10 8 7 6 3
10 6 3
3 NT 9
4 9 K 8 5 2
Q J 9 2
A K 4
Q J

Simulation 8Z21 Main Top Stayman or Not IV

59. J 7 4 3
K 5 4
Q J
A 9 7 2
10
6 3
K 10 5 3
K J 10 6 4 3 Table Q 8 6 5
Q J 10 7 2
8 7 4
Q
3 NT 9
4 9 A K 9 2
A 9 8
A 9 6 2
8 5

60. J 7 4 3
K 5 4
Q J
A 9 7 2
9 8
J 8 3
10 9 8 5 4
K Q 4 Table 10 6 5
A 10 6 2
A 6 2
10 8 3
3 NT 9
4 9 A K Q 2
Q 9 7
K 7 3
J 6 5

69. J 7 4 3
K 5 4
Q J
A 9 7 2
K 10
J 7
A 10 9 4 3
8 6 5 3 Table Q 8 2
A 9 8 6 3 2
7 5
10 4
3 NT 10
4 9 A 9 6 5
Q 10
K 8 6 2
K Q J

72. J 7 4 3
K 5 4
Q J
A 9 7 2
K 6 2
9 7 2
A 10 9 6 3
6 3 Table 10 5
Q 10 8 6 3
K 8 7
10 8 4
3 NT 8
4 10 A Q 9 8
A J
5 4 2
K Q J 5

77. J 7 4 3
K 5 4
Q J
A 9 7 2
K Q 8 2
9 7 3
K 9 8 6
J 10 Table 6
J 8 2
A 7 5 4
8 6 5 4 3
3 NT 10
4 9 A 10 9 5
A Q 10 6
10 3 2
K Q

80. J 7 4 3
K 5 4
Q J
A 9 7 2
6 2
Q 2
K 10 7 3 2
Q 10 8 3 Table Q 9 8
A 10 9 8 7 3
8 6 4
6
3 NT 9
4 9 A K 10 5
J 6
A 9 5
K J 5 4

86. J 7 4 3
K 5 4
Q J
A 9 7 2
A K
J 7 2
10 9 7 6 4 2
J 10 Table 9 8
Q 10 8 3
K 8 5
8 6 5 3
3 NT 8
4 11 Q 10 6 5 2
A 9 6
A 3
K Q 4

129. J 7 4 3
K 5 4
Q J
A 9 7 2
8 2
J 9 6
7 4 3 2
K J 8 5 Table 10 9 5
10 8 7 3 2
A K 8 6
Q
3 NT 9
4 9 A K Q 6
A Q
10 9 5
10 6 4 3

131. J 7 4 3
K 5 4
Q J
A 9 7 2
10 9 6
10 7 6 2
10 6 2
Q J 6 Table A 8
A 8 3
K 9 8 7 5 4
10 4
3 NT 7
4 10 K Q 5 2
Q J 9
A 3
K 8 5 3

141. J 7 4 3
K 5 4
Q J
A 9 7 2
9 6 2
Q 9
A K 10 9 3
10 6 5 Table Q 8
8 7 6 2
8 5 2
Q J 8 4
3 NT 8
4 11 A K 10 5
A J 10 3
7 6 4
K 3

Simulation 8Z21 Main Top Stayman or Not IV

142. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 10 8 5
6 2
9 7 6 4 3
6 3 Table 9
A J 9 8 7 3
K 5
K 8 5 4
3 NT 10
4 9 A K 6 2
Q 10
A 10 8 2
Q J 10

146. J 7 4 3
K 5 4
Q J
A 9 7 2
K 10 2
6 3 2
K 8 6 3
K Q 4 Table 9 8
Q J 10 8
10 7 2
10 8 6 3
3 NT 8
4 10 A Q 6 5
A 9 7
A 9 5 4
J 5

149. J 7 4 3
K 5 4
Q J
A 9 7 2
A Q 8
J
9 8 7 6 2
J 8 6 3 Table 9 2
Q 10 8 7 6 3
5 4
K 10 5
3 NT 9
4 9 K 10 6 5
A 9 2
A K 10 3
Q 4

159. J 7 4 3
K 5 4
Q J
A 9 7 2
K 10 9
10 7
10 9 4 2
J 8 6 4 Table Q 6
A J 9 6
7 6 5 3
Q 10 3
3 NT 8
4 10 A 8 5 2
Q 8 3 2
A K 8
K 5

161. J 7 4 3
K 5 4
Q J
A 9 7 2
A 6 2
8 7
K 8 7 3
J 10 5 4 Table Q 10
J 10 9 6 2
10 9 5
Q 8 6
3 NT 8
4 10 K 9 8 5
A Q 3
A 6 4 2
K 3

164. J 7 4 3
K 5 4
Q J
A 9 7 2
8 5
10 9
A K 9 7 4 2
Q 10 3 Table Q 9 6
Q 8 7 6 3
10 5 3
J 5
3 NT 7
4 10 A K 10 2
A J 2
8 6
K 8 6 4

177. J 7 4 3
K 5 4
Q J
A 9 7 2
8 5
J 7 3
K 8 3
K 6 5 4 3 Table K Q 10
10 9 6 2
10 9 7 4 2
Q
3 NT 9
4 9 A 9 6 2
A Q 8
A 6 5
J 10 8

179. J 7 4 3
K 5 4
Q J
A 9 7 2
10
Q 9 8
9 8 7 5
Q J 8 6 3 Table 9 8 5 2
J 7 3 2
A K 6 4
5
3 NT 9
4 9 A K Q 6
A 10 6
10 3 2
K 10 4

184. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 10 5
10 6
A 9 8 4 3
Q J 10 Table 2
Q J 8 3 2
10 7 5 2
8 5 3
3 NT 8
4 10 A K 9 8 6
A 9 7
K 6
K 6 4

185. J 7 4 3
K 5 4
Q J
A 9 7 2
K 8
A J 7 6 3
6 4 3 2
Q 6 Table 10 9 6
9 8
K 10 7 5
J 10 8 3
3 NT 8
4 10 A Q 5 2
Q 10 2
A 9 8
K 5 4

Simulation 8Z21 Main Top Stayman or Not IV

192. J 7 4 3
K 5 4
Q J
A 9 7 2
10 9 8 6
10 9 8
K 9 5 2
K 4 Table Q
Q 7 6 3 2
8 7 6 4
Q 10 8
3 NT 10
4 9 A K 5 2
A J
A 10 3
J 6 5 3

193. J 7 4 3
K 5 4
Q J
A 9 7 2
2
J 7 6 3
K 10 8
Q J 10 5 4 Table Q 10 9 8
A 9 8
9 7 5 4
6 3
3 NT 9
4 9 A K 6 5
Q 10 2
A 6 3 2
K 8

201. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 10 5
A J 10 7 6 3 2
7 6
3 Table A 9
8
K 9 8 5 4 2
10 8 5 4
3 NT 10
4 8 K 8 6 2
Q 9
A 10 3
K Q J 6

205. J 7 4 3
K 5 4
Q J
A 9 7 2
9
10 8 2
10 9 6 5 3
K J 10 8 Table A 10 2
A J 9 7 3
8 7 2
6 3
3 NT 9
4 9 K Q 8 6 5
Q 6
A K 4
Q 5 4

206. J 7 4 3
K 5 4
Q J
A 9 7 2
K 9 5
J 7
10 8 4 3
Q 10 6 4 Table Q 10
Q 10 8 6 3
K 9 7 5 2
8
3 NT 8
4 10 A 8 6 2
A 9 2
A 6
K J 5 3

212. J 7 4 3
K 5 4
Q J
A 9 7 2
A Q 8 6
J 10 7 6
9 6
Q 8 3 Table 5
Q 8 3
K 10 8 7 3 2
10 6 4
3 NT 9
4 9 K 10 9 2
A 9 2
A 5 4
K J 5

214. J 7 4 3
K 5 4
Q J
A 9 7 2
6
9 8 7 6 3
10 9 8
K 10 4 3 Table K 10 9 2
Q 10
A 7 6 5 3 2
6
3 NT 9
4 9 A Q 8 5
A J 2
K 4
Q J 8 5

239. J 7 4 3
K 5 4
Q J
A 9 7 2
10 9
Q 7 6
K 10 3 2
10 6 5 3 Table 8 6 2
J 9 8 2
A 7 5
Q J 4
3 NT 8
4 10 A K Q 5
A 10 3
9 8 6 4
K 8

242. J 7 4 3
K 5 4
Q J
A 9 7 2
—
J 10 7 6 2
10 6 5 3 2
Q 4 3 Table A K 10 9 5
A 8 3
9 7
10 8 6
3 NT 9
4 8 Q 8 6 2
Q 9
A K 8 4
K J 5

244. J 7 4 3
K 5 4
Q J
A 9 7 2
10 2
J 10 8 7 6
A 10 5 3 2
3 Table 9 6 5
A 2
K 8 4
Q 10 8 5 4
3 NT 7
4 10 A K Q 8
Q 9 3
9 7 6
K J 6

Simulation 8Z21 Main Top Stayman or Not IV

248. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 8 6
10 7 6 3 2
A K 3
8 5 Table 5 2
Q J 8
10 9 6 5
J 10 6 4
3 NT 8
4 10 A K 10 9
A 9
8 7 4 2
K Q 3

255. J 7 4 3
K 5 4
Q J
A 9 7 2
9 6 5 2
A 7 6
A 8 7 4 3
5 Table K
J 9 8 3
9 6 5 2
Q 10 8 3
3 NT 8
4 10 A Q 10 8
Q 10 2
K 10
K J 6 4

256. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 9 8 5
7
A 10 9 4 2
6 5 4 Table 6
J 10 8 6 2
K 7 6 5
Q 10 3
3 NT 8
4 10 A K 10 2
A Q 9 3
8 3
K J 8

262. J 7 4 3
K 5 4
Q J
A 9 7 2
10 6 5
9 8 6 2
10 9 6 4 2
4 Table Q
A 10 3
A 8 7 5
K 10 6 5 3
3 NT 8
4 10 A K 9 8 2
Q J 7
K 3
Q J 8

263. J 7 4 3
K 5 4
Q J
A 9 7 2
K 10 9 5
Q
10 9 7 6 2
Q 8 4 Table A
8 7 6 3 2
5 4 3
K 6 5 3
3 NT 10
4 9 Q 8 6 2
A J 10 9
A K 8
J 10

266. J 7 4 3
K 5 4
Q J
A 9 7 2
K 10 8
A 10 9 8 6
8 3
6 4 3 Table 6 5
3 2
A 10 6 5 4 2
Q J 10
3 NT 9
4 9 A Q 9 2
Q J 7
K 9 7
K 8 5

267. J 7 4 3
K 5 4
Q J
A 9 7 2
10 9 5 2
8 7 6 3 2
K 9 8
4 Table A
A 10 9
7 4 3 2
J 10 6 5 3
3 NT 10
4 8 K Q 8 6
Q J
A 10 6 5
K Q 8

270. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 10 9
6 2
K 10 7 6 4 3
6 4 Table 8 5
Q 9 8 7 3
A 8 5
Q 8 3
3 NT 7
4 10 A K 6 2
A J 10
9 2
K J 10 5

275. J 7 4 3
K 5 4
Q J
A 9 7 2
K 10 8
10 8 6
9 8 7
J 5 4 3 Table A 9
J 9 7 3
10 5 4 3
K Q 10
3 NT 8
4 10 Q 6 5 2
A Q 2
A K 6 2
8 6

277. J 7 4 3
K 5 4
Q J
A 9 7 2
A 10 9 6 5
10 7
K 7 3
K J 6 Table —
Q 9 8 6 3 2
10 5 4 2
10 5 3
3 NT 9
4 9 K Q 8 2
A J
A 9 8 6
Q 8 4

Simulation 8Z21 Main Top Stayman or Not IV

279. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 6
J 10 9 8 7 2
K 6 2
8 3 Table 10 8 5
—
A 8 7 5 3
Q J 6 5 4
3 NT 10
4 9 A K 9 2
A Q 6 3
10 9 4
K 10

281. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 10 9 6
A 10 7 6
8 7
J 8 5 Table 8
9 8 3
A 9 6 5 4 2
Q 10 6
3 NT 9
4 9 A K 5 2
Q J 2
K 10 3
K 4 3

286. J 7 4 3
K 5 4
Q J
A 9 7 2
—
10 9 8 6
K 10 9 8 5 4
K J 3 Table 9 8 6 5
A 7 3
6 3 2
Q 8 5
3 NT 9
4 9 A K Q 10 2
Q J 2
A 7
10 6 4

288. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 9
J 7 2
A 10 9 5 2
10 8 4 Table 10 8 5
10 9 3
K 8 7 4
K 5 3
3 NT 8
4 10 A K 6 2
A Q 8 6
6 3
Q J 6

289. J 7 4 3
K 5 4
Q J
A 9 7 2
K 5
10 3 2
A 8 7 6 5
K 6 3 Table A 6 2
9 8 6
10 4 3
10 8 5 4
3 NT 8
4 10 Q 10 9 8
A Q J 7
K 9 2
Q J

298. J 7 4 3
K 5 4
Q J
A 9 7 2
10 8 6 5
6
A 4 2
K 8 6 4 3 Table K
10 9 8 7 3 2
K 10 9 8 6
J
3 NT 8
4 10 A Q 9 2
A Q J
7 5 3
Q 10 5

299. J 7 4 3
K 5 4
Q J
A 9 7 2
10 8 6
Q J 10 9 7 2
4
8 6 5 Table 9 2
6
A K 10 9 7 6 5
K 10 3
3 NT 6
4 10 A K Q 5
A 8 3
8 3 2
Q J 4

302. J 7 4 3
K 5 4
Q J
A 9 7 2
K 9 2
A 10 8 3
5 4
Q J 10 4 Table 8 6
J 9 7
10 9 8 3 2
K 6 5
3 NT 8
4 10 A Q 10 5
Q 6 2
A K 7 6
8 3

303. J 7 4 3
K 5 4
Q J
A 9 7 2
5
A 9 8 7 2
10 2
Q 8 5 4 3 Table 10 9 8 2
J
A 9 7 6 5 3
K 10
3 NT 10
4 9 A K Q 6
Q 10 6 3
K 8 4
J 6

306. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 6 5 2
J 8 3
6 5 4 2
Q 8 Table 10
10 9 7 2
A K 8 7 3
6 5 3
3 NT 8
4 10 A K 9 8
A Q 6
10 9
K J 10 4

Simulation 8Z21 Main Top Stayman or Not IV

312. J 7 4 3
K 5 4
Q J
A 9 7 2
10 6
Q 10 9 3 2
7 3 2
10 5 4 Table 9 8 5
A 8 7
A K 8 6 5
J 6
3 NT 9
4 9 A K Q 2
J 6
10 9 4
K Q 8 3

323. J 7 4 3
K 5 4
Q J
A 9 7 2
A Q 6 5
9 7 3
K 5 4
8 6 4 Table 2
Q 10 8 6
9 8 7 3 2
K 10 3
3 NT 9
4 9 K 10 9 8
A J 2
A 10 6
Q J 5

331. J 7 4 3
K 5 4
Q J
A 9 7 2
10 9 6 2
10 7
8 5 2
K Q 6 4 Table 8
A Q 8 6 3 2
K 9 6 4 3
8
3 NT 9
4 9 A K Q 5
J 9
A 10 7
J 10 5 3

336. J 7 4 3
K 5 4
Q J
A 9 7 2
K Q 9 2
8 7
10 5 4
10 8 6 4 Table 6
A J 10 9 6 2
7 6 3 2
K 3
3 NT 9
4 9 A 10 8 5
Q 3
A K 9 8
Q J 5

337. J 7 4 3
K 5 4
Q J
A 9 7 2
—
Q J 9 6 2
10 9 6 4
J 8 4 3 Table A Q 10 9 5
7 3
8 7 5 2
K 10
3 NT 9
4 9 K 8 6 2
A 10 8
A K 3
Q 6 5

338. J 7 4 3
K 5 4
Q J
A 9 7 2
K Q 10
J 6 2
K 10 7
Q 8 5 3 Table 9 5
9 8 7 3
9 8 6 5 2
K 6
3 NT 9
4 9 A 8 6 2
A Q 10
A 4 3
J 10 4

339. J 7 4 3
K 5 4
Q J
A 9 7 2
10 8 6 2
9
K 10 9 8 3 2
8 5 Table K
Q 10 8 6 3
A 5 4
Q 10 6 4
3 NT 7
4 10 A Q 9 5
A J 7 2
7 6
K J 3

341. J 7 4 3
K 5 4
Q J
A 9 7 2
6
J 10 7 6
A 10 6 5 3
6 5 4 Table 9 8 5 2
8 3 2
K 9 7 2
K Q
3 NT 8
4 10 A K Q 10
A Q 9
8 4
J 10 8 3

350. J 7 4 3
K 5 4
Q J
A 9 7 2
9 8 5 2
Q 2
K 10 6
J 8 5 4 Table K
J 9 8 6 3
A 9 7 4 2
10 6
3 NT 8
4 11 A Q 10 6
A 10 7
8 5 3
K Q 3

351. J 7 4 3
K 5 4
Q J
A 9 7 2
6 2
A 10 9
K 10 7 5 2
Q 10 6 Table A 8 5
8 7 6 2
8 6 3
8 5 4
3 NT 9
4 9 K Q 10 9
Q J 3
A 9 4
K J 3

Simulation 8Z21 Main Top Stayman or Not IV

354. J 7 4 3
K 5 4
Q J
A 9 7 2
—
Q 8 3 2
8 6 5 4 3 2
Q 4 3 Table 10 9 6 5
J 10 9
A 9 7
K J 6
3 NT 9
4 9 A K Q 8 2
A 7 6
K 10
10 8 5

360. J 7 4 3
K 5 4
Q J
A 9 7 2
—
A 8 3 2
10 7 6 5 4
Q 8 5 3 Table K 10 8 2
10 9 7
A 9 3 2
10 4
3 NT 8
4 11 A Q 9 6 5
Q J 6
K 8
K J 6

368. J 7 4 3
K 5 4
Q J
A 9 7 2
9 8 6 5
6 3
A K 7 5 4
J 10 Table A
J 10 9 8 2
10 8 6 3
8 5 3
3 NT 7
4 10 K Q 10 2
A Q 7
9 2
K Q 6 4

383. J 7 4 3
K 5 4
Q J
A 9 7 2
10 9 6 5
J 10 6
K 9 8 4
J 3 Table 2
A 7 3 2
10 6 5 2
K 10 8 4
3 NT 9
4 9 A K Q 8
Q 9 8
A 7 3
Q 6 5

384. J 7 4 3
K 5 4
Q J
A 9 7 2
K 10 6 5
J 9 7 3
5 4 2
6 5 Table 8
A 8 6
10 9 8 7 3
K J 8 3
3 NT 10
4 9 A Q 9 2
Q 10 2
A K 6
Q 10 4

390. J 7 4 3
K 5 4
Q J
A 9 7 2
A 8 6
9 6 2
10 9 4
J 8 5 3 Table K 5
J 8 7
K 8 7 3 2
Q 10 4
3 NT 8
4 11 Q 10 9 2
A Q 10 3
A 6 5
K 6

393. J 7 4 3
K 5 4
Q J
A 9 7 2
10 8
Q 7 2
10 7 4
K 10 5 4 3 Table 9 5 2
A J 10 3
9 8 6 2
Q 8
3 NT 9
4 9 A K Q 6
9 8 6
A K 5 3
J 6

395. J 7 4 3
K 5 4
Q J
A 9 7 2
10 9 8
10 6 3
A 7
Q 10 6 4 3 Table 6
Q 9 8 7
K 10 9 8 5 3
J 5
3 NT 7
4 11 A K Q 5 2
A J 2
6 4 2
K 8

403. J 7 4 3
K 5 4
Q J
A 9 7 2
K 10 5 2
Q 8 6 3 2
10 8
J 3 Table 9
A J 7
K 7 6 5 4 3
10 8 4
3 NT 8
4 10 A Q 8 6
10 9
A 9 2
K Q 6 5

407. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 10 8
8 7 3 2
K 9
J 6 5 3 Table 6 5
A Q 9 6
10 7 5 4 3 2
4
3 NT 9
4 9 A K 9 2
J 10
A 8 6
K Q 10 8

Simulation 8Z21 Main Top Stayman or Not IV

9991. J 7 4 3
K 5 4
Q J
A 9 7 2
A K 2
Q 8 6
K 10 9 7 4
8 5 Table 10 6
10 9 7 3
8 6 5
10 6 4 3
3 NT 9
4 10 Q 9 8 5
A J 2
A 3 2
K Q J

9992. J 7 4 3
K 5 4
Q J
A 9 7 2
K 6 5
A 9 3
8 6 3 2
8 6 3 Table 2
J 10 7 6
A 10 9 7
Q 10 5 4
3 NT 9
4 10 A Q 10 9 8
Q 8 2
K 5 4
K J

9993. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 10 6
A 6
9 8 6 5 2
J 10 8 Table 8 5
J 10 9 2
10 4 3
K Q 5 4
3 NT 9
4 10 A K 9 2
Q 8 7 3
A K 7
6 3

9994. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 9 8
Q 10 7 6
K 9 5 4 3
K Table 5 2
8 2
8 7 2
Q J 10 8 5 4
3 NT 10
4 10 A K 10 6
A J 9 3
A 10 6
6 3

9995. J 7 4 3
K 5 4
Q J
A 9 7 2
10 5
A Q 3
10 8 7 3
J 10 8 4 Table K Q 6
J 8 7 2
6 5 2
6 5 3
3 NT 9
4 11 A 9 8 2
10 9 6
A K 9 4
K Q

9996. J 7 4 3
K 5 4
Q J
A 9 7 2
K 10 6 5
A J 8 6 2
9 7
8 5 Table Q
Q 9
10 8 6 5 4 2
Q 10 4 3
3 NT 8
4 10 A 9 8 2
10 7 3
A K 3
K J 6

9997. J 7 4 3
K 5 4
Q J
A 9 7 2
10 6 5
10 6
A 6 4 2
K 10 8 6 Table Q 8
A 9 8 7 2
10 9 7 5 3
3
3 NT 8
4 10 A K 9 2
Q J 3
K 8
Q J 5 4

9998. J 7 4 3
K 5 4
Q J
A 9 7 2
Q 8 6
Q J 9 8 7
10 5 3 2
J Table A 5
6 3 2
K 8 7 4
10 6 4 3
3 NT 9
4 11 K 10 9 2
A 10
A 9 6
K Q 8 5

9999. J 7 4 3
K 5 4
Q J
A 9 7 2
10 8 6
A J 10 9 2
5 4 3 2
8 Table Q 2
6
K 10 8 6
K J 10 6 5 4
3 NT 9
4 9 A K 9 5
Q 8 7 3
A 9 7
Q 3

10000. J 7 4 3
K 5 4
Q J
A 9 7 2
—
J 7
A 10 9 7 6 3 2
J 10 8 3 Table A 10 6 5 2
A 9 8 6 3 2
4
6
3 NT 9
4 8 K Q 9 8
Q 10
K 8 5
K Q 5 4

Simulation 8Z21 Main

Top Stayman or Not IV

1.	J 7 4 3 K 5 4 Q J A 9 7 2
9 5 2 Q J 2 A 8 7 J 10 6 5		K 8 10 9 6 9 6 5 4 3 2 Q 3
3 NT 9 4 10	A Q 10 6 A 8 7 3 K 10 K 8 4

2.	J 7 4 3 K 5 4 Q J A 9 7 2
10 5 2 Q 10 8 6 10 6 5 8 5 4		A 9 7 3 K 9 8 7 4 3 K Q 10
3 NT 9 4 9	K Q 9 8 6 A J 2 A 2 J 6 3

3.	J 7 4 3 K 5 4 Q J A 9 7 2
Q 10 Q 10 9 7 A 8 7 2 J 8 5		8 6 5 J 8 3 2 9 4 3 K 10 6
3 NT 10 4 11	A K 9 2 A 6 K 10 6 5 Q 4 3

4.	J 7 4 3 K 5 4 Q J A 9 7 2
8 6 5 2 Q 10 K 8 7 4 J 6 3		10 J 9 8 6 A 10 5 2 K 8 5 4
3 NT 8 4 9	A K Q 9 A 7 3 2 9 6 3 Q 10

5.	J 7 4 3 K 5 4 Q J A 9 7 2
9 8 10 9 8 K 8 7 6 5 5 4 3		A K 2 J 7 6 10 9 2 K 10 8 6
3 NT 8 4 9	Q 10 6 5 A Q 3 2 A 4 3 Q J

6.	J 7 4 3 K 5 4 Q J A 9 7 2
Q 10 9 8 Q 8 K 5 3 J 10 8 3		5 A 10 7 6 10 9 7 6 4 Q 5 4
3 NT 8 4 9	A K 6 2 J 9 3 2 A 8 2 K 6

7.	J 7 4 3 K 5 4 Q J A 9 7 2
A 9 8 2 10 K 10 8 7 5 3 2 6		5 Q 9 8 7 3 2 6 K 10 8 5 3
3 NT 10 4 10	K Q 10 6 A J 6 A 9 4 Q J 4

8.	J 7 4 3 K 5 4 Q J A 9 7 2
8 2 J 9 6 2 K 10 9 4 J 8 6		A 10 6 Q 10 7 7 6 5 Q 10 4 3
3 NT 9 4 10	K Q 9 5 A 8 3 A 8 3 2 K 5

9.	J 7 4 3 K 5 4 Q J A 9 7 2
9 6 7 3 2 K 10 3 K J 8 6 4		Q 8 2 A J 9 8 8 7 6 4 10 3
3 NT 10 4 10	A K 10 5 Q 10 6 A 9 5 2 Q 5

10.	J 7 4 3 K 5 4 Q J A 9 7 2
K 10 9 5 2 9 6 3 K 10 9 6 8		— A Q J 8 2 5 4 2 10 6 5 4 3
3 NT 6 4 7	A Q 8 6 10 7 A 8 7 3 K Q J

11.	J 7 4 3 K 5 4 Q J A 9 7 2
Q 9 5 2 Q 10 6 10 4 2 J 10 5		6 9 8 7 3 2 A 8 6 3 K Q 4
3 NT 9 4 9	A K 10 8 A J K 9 7 5 8 6 3

17.	J 7 4 3 K 5 4 Q J A 9 7 2
6 5 J 7 6 K 8 6 5 Q 8 6 5		K 9 8 8 3 2 A 10 9 4 2 10 4
3 NT 8 4 11	A Q 10 2 A Q 10 9 7 3 K J 3

24.	J 7 4 3 K 5 4 Q J A 9 7 2
Q 9 6 9 7 6 A 10 7 4 Q J 5		8 5 10 8 2 K 8 6 5 10 8 6 3
3 NT 8 4 10	A K 10 2 A Q J 3 9 3 2 K 4

26.	J 7 4 3 K 5 4 Q J A 9 7 2
5 2 Q 10 7 6 2 A 9 2 K Q 8		Q 10 9 8 3 10 8 7 5 4 10 5 3
3 NT 9 4 9	A K 8 6 A J 9 K 6 3 J 6 4

28.	J 7 4 3 K 5 4 Q J A 9 7 2
A K Q 5 2 10 9 7 6 J 6 5 3		— J 9 8 7 3 2 K 10 8 4 2 10 8
3 NT 9 4 9	10 9 8 6 A Q 6 A 5 3 K Q 4

34.	J 7 4 3 K 5 4 Q J A 9 7 2
Q 10 8 6 Q 9 9 3 Q J 8 5 4		— A J 8 3 2 10 8 7 5 4 2 6 3
3 NT 9 4 9	A K 9 5 2 10 7 6 A K 6 K 10

35.	J 7 4 3 K 5 4 Q J A 9 7 2
9 8 2 A Q 8 2 A 8 3 2 10 3		6 5 J 10 7 3 10 9 7 4 K 8 4
3 NT 8 4 10	A K Q 10 9 6 K 6 5 Q J 6 5

39.	J 7 4 3 K 5 4 Q J A 9 7 2
10 9 6 — K 10 9 8 6 5 3 10 8 6		A 2 A 10 8 7 6 3 7 J 5 4 3
3 NT 10 4 8	K Q 8 5 Q J 9 2 A 4 2 K Q

41.	J 7 4 3 K 5 4 Q J A 9 7 2
6 J 7 6 2 10 8 5 4 3 J 10 3		A K 9 8 10 8 K 9 7 6 Q 6 5
3 NT 8 4 10	Q 10 5 2 A Q 9 3 A 2 K 8 4

57.	J 7 4 3 K 5 4 Q J A 9 7 2
A 10 A 10 8 3 9 5 2 K 8 5 4		Q 9 6 7 6 10 8 7 6 3 10 6 3
3 NT 9 4 9	K 8 5 2 Q J 9 2 A K 4 Q J

59.	J 7 4 3 K 5 4 Q J A 9 7 2
10 6 3 K 10 5 3 K J 10 6 4 3		Q 8 6 5 Q J 10 7 2 8 7 4 Q
3 NT 9 4 9	A K 9 2 A 9 8 A 9 6 2 8 5

60.	J 7 4 3 K 5 4 Q J A 9 7 2
9 8 J 8 3 10 9 8 5 4 K Q 4		10 6 5 A 10 6 2 A 6 2 10 8 3
3 NT 9 4 9	A K Q 2 Q 9 7 K 7 3 J 6 5

69.	J 7 4 3 K 5 4 Q J A 9 7 2
K 10 J 7 A 10 9 4 3 8 6 5 3		Q 8 2 A 9 8 6 3 2 7 5 10 4
3 NT 10 4 9	A 9 6 5 Q 10 K 8 6 2 K Q J

72.	J 7 4 3 K 5 4 Q J A 9 7 2
K 6 2 9 7 2 A 10 9 6 3 6 3		10 5 Q 10 8 6 3 K 8 7 10 8 4
3 NT 8 4 10	A Q 9 8 A J 5 4 2 K Q J 5

77.	J 7 4 3 K 5 4 Q J A 9 7 2
K Q 8 2 9 7 3 K 9 8 6 J 10		6 J 8 2 A 7 5 4 8 6 5 4 3
3 NT 10 4 9	A 10 9 5 A Q 10 6 10 3 2 K Q

80.	J 7 4 3 K 5 4 Q J A 9 7 2
6 2 Q 2 K 10 7 3 2 Q 10 8 3		Q 9 8 A 10 9 8 7 3 8 6 4 6
3 NT 9 4 9	A K 10 5 J 6 A 9 5 K J 5 4

86.	J 7 4 3 K 5 4 Q J A 9 7 2
A K J 7 2 10 9 7 6 4 2 J 10		9 8 Q 10 8 3 K 8 5 8 6 5 3
3 NT 8 4 11	Q 10 6 5 2 A 9 6 A 3 K Q 4

129.	J 7 4 3 K 5 4 Q J A 9 7 2
8 2 J 9 6 7 4 3 2 K J 8 5		10 9 5 10 8 7 3 2 A K 8 6 Q
3 NT 9 4 9	A K Q 6 A Q 10 9 5 10 6 4 3

131.	J 7 4 3 K 5 4 Q J A 9 7 2
10 9 6 10 7 6 2 10 6 2 Q J 6		A 8 A 8 3 K 9 8 7 5 4 10 4
3 NT 7 4 10	K Q 5 2 Q J 9 A 3 K 8 5 3

141.	J 7 4 3 K 5 4 Q J A 9 7 2
9 6 2 Q 9 A K 10 9 3 10 6 5		Q 8 8 7 6 2 8 5 2 Q J 8 4
3 NT 8 4 11	A K 10 5 A J 10 3 7 6 4 K 3