Simulation 8Z19 Main

Stayman or Not II

by Richard Pavlicek

My first simulation gave responder a stopper in every suit, obviously a definite edge for succeeding in notrump. Now suppose one of the suits is unstopped, changing the hand slightly to:

West
North
1 NT East
Pass South
? J 7 4 3
Q 10 4
8 7 6
A K 2

Should you use Stayman? Or bid 3 NT directly?

For a simulation I created 10,000 random deals with the South hand fixed. North: 15-17 HCP; balanced; 4-5 spades (if 5 spades, doubleton must be J-x or better). Further, East was constrained not to have any appropriate action (bid or double) over 1 NT; and West not to have extreme shape (freakness 6+) with 7+ playing tricks.

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.

At total points or IMPs, 3 NT is still the clear winner, though the margin is reduced. At Won-Lost, however, the edge goes to 4 , obviously due to the frequent scoring pip (e.g., 420 vs. 400) but I am not convinced to change my practice, because 70 percent of the time opener will not have four spades, and the information revealed will decrease your chances to make 3 NT. Follow-up: Stayman or Not III.

Results for 10,000 Deals
Contract Trick Average Make Percent Overtrick Percent
3 NT 8.7507 59.48 20.32
4 9.5434 52.17 13.34

Results for 10,000 Deals
Contract	Trick Average	Make Percent	Overtrick Percent
3 NT	8.7507	59.48	20.32
4	9.5434	52.17	13.34

Comparison Net W-L Net Score Net IMPs Net Score Net IMPs
3 NT vs. 4 -390 +269,270 +4668 +463,020 +6396

Comparison	Net W-L	Net Score	Net IMPs	Net Score	Net IMPs
3 NT vs. 4	-390	+269,270	+4668	+463,020	+6396

Actual Deals

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.

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

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

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

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

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

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

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

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

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

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

Simulation 8Z19 Main Top Stayman or Not II

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

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

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

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

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

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

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

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

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

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

Simulation 8Z19 Main Top Stayman or Not II

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

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

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

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

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

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

1098. A K 6 2
A K 7 3
J 9
J 9 3
8 5
J 9 6
A 5
Q 10 8 6 5 4 Table Q 10 9
8 5 2
K Q 10 4 3 2
7
3 NT → 7
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

1176. K Q 6 5 2
K J 9
K 3
Q J 7
A 10 8
7 6 5 3 2
A Q
10 6 5 Table 9
A 8
J 10 9 5 4 2
9 8 4 3
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

1486. A K Q 10
A K 9 2
J 10
10 8 7
9 5
8 5
A K 9 3 2
Q 5 4 3 Table 8 6 2
J 7 6 3
Q 5 4
J 9 6
3 NT → 8
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

1772. K Q 8 5
A K 9
J 4
Q 8 6 5
A 2
J 3 2
A K Q 5 3 2
9 7 Table 10 9 6
8 7 6 5
10 9
J 10 4 3
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

Simulation 8Z19 Main Top Stayman or Not II

1832. A 10 9 6
A K J 2
Q 10 2
J 5
K 5 2
—
K J 9 4 3
Q 8 7 6 3 Table Q 8
9 8 7 6 5 3
A 5
10 9 4
3 NT → 9
4 → 6 J 7 4 3
Q 10 4
8 7 6
A K 2

1959. K Q 6 5 2
A K 6
J 10
Q 10 7
A
J 9 7 5 3
9 4
J 9 6 4 3 Table 10 9 8
8 2
A K Q 5 3 2
8 5
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

2020. A K Q 5
K 9 7 2
K 9 2
J 10
10 6 2
A 8 6 5 3
J
Q 9 8 6 Table 9 8
J
A Q 10 5 4 3
7 5 4 3
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

2199. A Q 10 5
8 3
A Q J
Q 10 9 7
K 2
A J 9 6 2
K 10 4
6 5 4 Table 9 8 6
K 7 5
9 5 3 2
J 8 3
3 NT → 8
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

2286. K Q 6 5
A K J 7
Q 5
8 6 4
A 8
8 3 2
K J 9 4 3 2
9 5 Table 10 9 2
9 6 5
A 10
Q J 10 7 3
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

2410. A Q 10 2
A 8
A 9 4
J 8 6 3
K 9 8 6 5
J
K Q 10 5 2
5 4 Table —
K 9 7 6 5 3 2
J 3
Q 10 9 7
3 NT → 9
4 → 8 J 7 4 3
Q 10 4
8 7 6
A K 2

2929. K Q 10 8
A 9 8
K Q
Q 6 4 3
A 2
K 6 2
A J 10 4 3 2
J 8 Table 9 6 5
J 7 5 3
9 5
10 9 7 5
3 NT → 7
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

3073. A K Q 10 5
K J 8
K 4
10 5 3
8 2
A 9 7 6 3 2
Q
Q 9 7 4 Table 9 6
5
A J 10 9 5 3 2
J 8 6
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

3689. A K 10 2
J 5 3
K Q 9 4
Q 10
Q 8 5
K 7
A J 10 5 2
J 7 3 Table 9 6
A 9 8 6 2
3
9 8 6 5 4
3 NT → 10
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

4106. A 10 6 5
A J 6
K J 4
Q 10 7
K Q 9 2
7
A 10 5 2
J 6 5 3 Table 8
K 9 8 5 3 2
Q 9 3
9 8 4
3 NT → 9
4 → 8 J 7 4 3
Q 10 4
8 7 6
A K 2

Simulation 8Z19 Main Top Stayman or Not II

4185. K Q 10 6
6 5 3
A K
Q J 6 4
5
A K 7 2
9 5 4
9 8 7 5 3 Table A 9 8 2
J 9 8
Q J 10 3 2
10
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

4215. K Q 6 2
K 7 6
A K 5
9 7 4
A 10
8
Q 10 9 3
Q J 10 8 6 5 Table 9 8 5
A J 9 5 3 2
J 4 2
3
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

4293. A 10 6 5
A K 9 5
K Q
10 5 3
K 9 8
8 3 2
J 10 5
9 8 6 4 Table Q 2
J 7 6
A 9 4 3 2
Q J 7
3 NT → 8
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

4413. A K 9 2
A K 6
Q 9
10 9 8 5
Q 8
J 9 5
K J 10 5 4 3
7 4 Table 10 6 5
8 7 3 2
A 2
Q J 6 3
3 NT → 7
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

4424. A K 9 5
J 3
A Q 3
Q 10 9 8
Q 10 8 6
K 8 7 2
9 5 2
7 5 Table 2
A 9 6 5
K J 10 4
J 6 4 3
3 NT → 9
4 → 8 J 7 4 3
Q 10 4
8 7 6
A K 2

4676. K 8 6 2
A K 2
K Q 5
J 8 7
—
J 9 7 5 3
A 10 4 3 2
9 6 5 Table A Q 10 9 5
8 6
J 9
Q 10 4 3
3 NT → 9
4 → 8 J 7 4 3
Q 10 4
8 7 6
A K 2

4779. A Q 10 5
K 3 2
K Q 4
Q 10 8
K 8 6
A J 8 7 6 5
2
9 7 3 Table 9 2
9
A J 10 9 5 3
J 6 5 4
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

4945. A K Q 8
8 3
K Q 4 2
Q 8 5
10 6 2
A J 9
A 5 3
10 9 4 3 Table 9 5
K 7 6 5 2
J 10 9
J 7 6
3 NT → 7
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

4968. Q 6 5 2
A K
A Q 9
Q 10 9 6
A K 10 9 8
9 8 5
10 5 4 3
4 Table —
J 7 6 3 2
K J 2
J 8 7 5 3
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

5146. A K 6 2
A K 8 3
10 2
Q 10 3
Q 8
J 9 5 2
J 9 5
8 6 5 4 Table 10 9 5
7 6
A K Q 4 3
J 9 7
3 NT → 8
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

Simulation 8Z19 Main Top Stayman or Not II

5417. A Q 10 8
K 8
K J 9 4
Q 10 4
—
A J 6 3
A 3 2
J 9 7 6 5 3 Table K 9 6 5 2
9 7 5 2
Q 10 5
8
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

5666. A K 10 6
A 8 7
K J
Q 10 8 3
Q 9 5
K 6 5 3 2
10 5 4 3 2
— Table 8 2
J 9
A Q 9
J 9 7 6 5 4
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

5683. K 10 9 6
A K 9 5
A 2
Q 7 5
A Q 8
8 7
K 9 3
10 8 6 4 3 Table 5 2
J 6 3 2
Q J 10 5 4
J 9
3 NT → 8
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

5872. K 9 8 5
A 8 7 2
K Q 5
Q J
A Q 10 6 2
6
A 4 3 2
8 7 3 Table —
K J 9 5 3
J 10 9
10 9 6 5 4
3 NT → 9
4 → 8 J 7 4 3
Q 10 4
8 7 6
A K 2

5943. A K Q 9 6
K 9 3
J 2
Q 9 4
10
A J 8 7 6
K 3
10 8 7 6 3 Table 8 5 2
5 2
A Q 10 9 5 4
J 5
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

6026. A K 9 8
6 5
A K 5
Q J 10 7
Q 2
K J 3
J 10 4 3
6 5 4 3 Table 10 6 5
A 9 8 7 2
Q 9 2
9 8
3 NT → 8
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

6028. A K Q 9
K J 3
J 9
Q J 9 5
10 8 5 2
A 2
A 2
10 8 7 6 4 Table 6
9 8 7 6 5
K Q 10 5 4 3
3
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

6244. A K Q 8
K J 7 3
Q 4
Q 6 3
10 5 2
8 5 2
K J 10 9 3 2
10 Table 9 6
A 9 6
A 5
J 9 8 7 5 4
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

6387. A K Q 10
K J 8 7
J 10
Q J 5
6
9 3 2
A K Q 5 4 3
8 7 3 Table 9 8 5 2
A 6 5
9 2
10 9 6 4
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

6427. K Q 8 6 2
K 6 5
K Q
Q 10 7
A 10 5
A 8 7 3 2
4 2
8 5 3 Table 9
J 9
A J 10 9 5 3
J 9 6 4
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

Simulation 8Z19 Main Top Stayman or Not II

6455. K Q 10 2
K 8 2
A 3
Q J 8 4
A 9 8
A 6 5 3
5 4 2
6 5 3 Table 6 5
J 9 7
K Q J 10 9
10 9 7
3 NT → 7
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

6515. A 8 6 5
A 7 5 3
A Q 9
Q 9
Q
K J 8
10 5 4 3 2
J 8 6 4 Table K 10 9 2
9 6 2
K J
10 7 5 3
3 NT → 9
4 → 8 J 7 4 3
Q 10 4
8 7 6
A K 2

6710. A K Q 5 2
A 3
Q 9 3
Q 10 8
9 6
J 9 8 7 6 5
A K 10 5 4
— Table 10 8
K 2
J 2
J 9 7 6 5 4 3
3 NT → 10
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

6729. K Q 6 2
A K 7
K 9
Q 7 5 3
A 10 5
J 9 6 3 2
4 3
10 9 4 Table 9 8
8 5
A Q J 10 5 2
J 8 6
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

7029. A K Q 10 6
K 8 6
J 3
Q J 8
8 5 2
A 7 3 2
K 9
7 5 4 3 Table 9
J 9 5
A Q 10 5 4 2
10 9 6
3 NT → 6
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

7451. K Q 6 2
K J 5
A 9 3 2
Q 7
A 10 8
7
K J 10
J 10 9 8 5 3 Table 9 5
A 9 8 6 3 2
Q 5 4
6 4
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

7569. K 10 8 5
A K 7 6
A Q
J 7 5
9 6
8 3 2
K 9 5 4 3
10 4 3 Table A Q 2
J 9 5
J 10 2
Q 9 8 6
3 NT → 8
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

7729. K Q 8 2
K J 6
A J
Q 8 7 6
9
9 5 3 2
K Q 10 5 4
10 5 4 Table A 10 6 5
A 8 7
9 3 2
J 9 3
3 NT → 7
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

7828. A K 6 2
A 9 8
A 5 4
Q 9 4
Q 10 9 8 5
5 3
K Q J 9 3
3 Table —
K J 7 6 2
10 2
J 10 8 7 6 5
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

7940. A Q 8 6 2
K 9 5
Q J 2
Q J
K 9 5
6
A K 10 9 5 3
10 4 3 Table 10
A J 8 7 3 2
4
9 8 7 6 5
3 NT → 10
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

Simulation 8Z19 Main Top Stayman or Not II

8072. A K Q 8
A J 8 6
J 4
Q 8 4
10 9 6 2
K 9 3
K 10 9 5 2
3 Table 5
7 5 2
A Q 3
J 10 9 7 6 5
3 NT → 8
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

8152. A K 8 5
K J 5
K 5 3
Q 9 4
10 6 2
6
Q J 9 2
10 8 6 5 3 Table Q 9
A 9 8 7 3 2
A 10 4
J 7
3 NT → 9
4 → 6 J 7 4 3
Q 10 4
8 7 6
A K 2

8831. A K 5 2
A K J 8
Q 5
10 8 7
Q 8 6
9 3 2
9 2
Q 9 6 5 3 Table 10 9
7 6 5
A K J 10 4 3
J 4
3 NT → 7
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

9006. K Q 10 2
A K 8 7
Q 4
Q 4 3
A 9 6 5
J 6 5
J 10 3
J 10 5 Table 8
9 3 2
A K 9 5 2
9 8 7 6
3 NT → 7
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

9014. A K 10 5
J 6 5
A Q 10
J 9 8
8 6 2
9 3
K 5 4 2
Q 5 4 3 Table Q 9
A K 8 7 2
J 9 3
10 7 6
3 NT → 9
4 → 8 J 7 4 3
Q 10 4
8 7 6
A K 2

9340. A K 9 5
K 9 8
K Q J 3
8 7
10 2
A J 7 6 5 3
—
J 9 6 4 3 Table Q 8 6
2
A 10 9 5 4 2
Q 10 5
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

9602. A K 10 2
A J
Q 9 5 2
Q 9 3
Q 5
8 7 6
A 4
J 10 8 6 5 4 Table 9 8 6
K 9 5 3 2
K J 10 3
7
3 NT → 9
4 → 8 J 7 4 3
Q 10 4
8 7 6
A K 2

9748. A Q 9 5
A 7 6
K Q 9 5
7 5
K 6 2
—
A J 10 3 2
Q 9 8 6 3 Table 10 8
K J 9 8 5 3 2
4
J 10 4
3 NT → 9
4 → 7 J 7 4 3
Q 10 4
8 7 6
A K 2

9847. K Q 9 6
A K 8 5
K 3
J 5 4
10 8
9 3 2
A 10 9 5 2
8 6 3 Table A 5 2
J 7 6
Q J 4
Q 10 9 7
3 NT → 8
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

9965. A K Q 10 2
K 7 3
J 5
Q 9 4
9 6 5
A 6 2
A K 4
J 8 7 5 Table 8
J 9 8 5
Q 10 9 3 2
10 6 3
3 NT → 7
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

Simulation 8Z19 Main Top Stayman or Not II

9981. A K Q 5
J 8 6
K 2
Q 9 8 6
10 2
A K 9 7 5
10 5
J 10 5 3 Table 9 8 6
3 2
A Q J 9 4 3
7 4
3 NT → 5
4 → 8 J 7 4 3
Q 10 4
8 7 6
A K 2

9982. A K 8 6
A K 2
J 9 5 3
9 3
Q 2
J 9 6 3
A K 10 4
8 5 4 Table 10 9 5
8 7 5
Q 2
Q J 10 7 6
3 NT → 9
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

9983. K Q 9 5
K J 8
A Q 9 4
8 4
10
A 7 6 5 2
J 10 5 2
J 9 3 Table A 8 6 2
9 3
K 3
Q 10 7 6 5
3 NT → 8
4 → 9 J 7 4 3
Q 10 4
8 7 6
A K 2

9984. A Q 10 8
K 3
A J 4 3
J 10 4
K 9
J 8 7 6 5 2
5
9 8 7 6 Table 6 5 2
A 9
K Q 10 9 2
Q 5 3
3 NT → 10
4 → 10 J 7 4 3
Q 10 4
8 7 6
A K 2

9985. A K 10 9 2
A 5
K Q 10
9 8 3
6 5
9 8 7 6
A J 4 3
Q J 6 Table Q 8
K J 3 2
9 5 2
10 7 5 4
3 NT → 10
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

9986. A Q 10 9
J 7
A K J 10
J 9 4
K 8 6 5 2
A K 8 6 3
3 2
5 Table —
9 5 2
Q 9 5 4
Q 10 8 7 6 3
3 NT → 9
4 → 9 J 7 4 3
Q 10 4
8 7 6
A K 2

9987. A K 5 2
A J 7
K 3
J 8 5 4
10
9 8 3 2
Q J 9
10 9 7 6 3 Table Q 9 8 6
K 6 5
A 10 5 4 2
Q
3 NT → 8
4 → 9 J 7 4 3
Q 10 4
8 7 6
A K 2

9988. A Q 10 2
A J 9 2
A Q 10
9 5
K 6 5
K 7 6 5 3
K 9 3
Q 8 Table 9 8
8
J 5 4 2
J 10 7 6 4 3
3 NT → 12
4 → 12 J 7 4 3
Q 10 4
8 7 6
A K 2

9989. A Q 8 5
A K 9
Q J 2
8 6 5
10 9 6
J 8 6
A 5 3
Q 9 7 3 Table K 2
7 5 3 2
K 10 9 4
J 10 4
3 NT → 8
4 → 9 J 7 4 3
Q 10 4
8 7 6
A K 2

9990. A 10 8 5
A J 8
A 10 3
Q 6 3
Q 9 6
7 6 5 3 2
K J
8 7 5 Table K 2
K 9
Q 9 5 4 2
J 10 9 4
3 NT → 8
4 → 9 J 7 4 3
Q 10 4
8 7 6
A K 2

Simulation 8Z19 Main Top Stayman or Not II

9991. K 10 8 5
K 6 5
A K J 3
J 9
Q 9 2
A 8 7 3
Q 9 5 2
10 5 Table A 6
J 9 2
10 4
Q 8 7 6 4 3
3 NT → 10
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

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

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

9994. A Q 10 8
K J 6
A J 10
Q 9 5
K 9
8 3 2
Q 9 5 4 2
10 8 7 Table 6 5 2
A 9 7 5
K 3
J 6 4 3
3 NT → 11
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

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

9996. A 10 9 6
A J 5
A Q 4 2
8 5
K Q
K 9 8 2
J 10 5 3
Q J 10 Table 8 5 2
7 6 3
K 9
9 7 6 4 3
3 NT → 10
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

9997. A 9 6 2
A K
A Q 9
10 8 7 3
K 8 5
J 9 7 3 2
10 5 3
Q J Table Q 10
8 6 5
K J 4 2
9 6 5 4
3 NT → 11
4 → 11 J 7 4 3
Q 10 4
8 7 6
A K 2

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

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

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

Simulation 8Z19 Main Top Stayman or Not II

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

1098.	A K 6 2 A K 7 3 J 9 J 9 3
8 5 J 9 6 A 5 Q 10 8 6 5 4		Q 10 9 8 5 2 K Q 10 4 3 2 7
3 NT → 7 4 → 10	J 7 4 3 Q 10 4 8 7 6 A K 2

1176.	K Q 6 5 2 K J 9 K 3 Q J 7
A 10 8 7 6 5 3 2 A Q 10 6 5		9 A 8 J 10 9 5 4 2 9 8 4 3
3 NT → 6 4 → 10	J 7 4 3 Q 10 4 8 7 6 A K 2

1486.	A K Q 10 A K 9 2 J 10 10 8 7
9 5 8 5 A K 9 3 2 Q 5 4 3		8 6 2 J 7 6 3 Q 5 4 J 9 6
3 NT → 8 4 → 11	J 7 4 3 Q 10 4 8 7 6 A K 2

1772.	K Q 8 5 A K 9 J 4 Q 8 6 5
A 2 J 3 2 A K Q 5 3 2 9 7		10 9 6 8 7 6 5 10 9 J 10 4 3
3 NT → 6 4 → 10	J 7 4 3 Q 10 4 8 7 6 A K 2