Simulation 8Z15 Main
|  Stayman or Pass?
|
by Richard Pavlicek |
Suppose South opens 1 NT (15-17) in first seat, West passes, and you have the North hand shown.
Kevin ODea (Ireland) asks, If you bid 2
Stayman intending to pass openers 2
or 2
, will your matchpoint score, on average, be better or worse than passing 1 NT?
I would think better, but for a definitive answer Ill have to consult Madame Zoltar and get back to you.
| J 7 6 3
J 8 7 4
7 4
A Q 5 |
|  | |
West
Pass | North
? | East
| South 1 NT |
This kind of problem is best solved by a simulation, as theoretical calculation would be a numerical zoo if even possible. Besides your options, it is also reasonable to invite game if a fit is found, so Ill include that as well to make three options: (A) Pass 1 NT; (B) bid 2
then pass 2
or 2
, else bid 2 NT; or (C) bid 2
then raise to 3
or 3
, else bid 2 NT. Note that Options B and C both dictate the same invitational 2 NT when opener has no major.
This simulation is more complicated than most, because the contract will vary for Options B and C. Depending on the existence of a fit and openers strength, Option B will play 2
, 2
, 2 NT or 3 NT; and Option C will play 2 NT, 3
, 3
, 3 NT, 4
or 4
. (Option A will always play 1 NT.) Therefore, for each random deal, the appropriate contracts must be determined before comparison. The strain is straightforward: the major fit if any (hearts with both) else notrump. My criterion for a maximum will be 17 revalued points, a better yardstick than simply HCP, as it will include some hands of 16 HCP but reject others.
To determine the best option I created 10,000 random deals with the North hand fixed, and South constrained to open 1 NT: HCP 15-17; freakness less than 3 (balanced); with a 5-card major, doubleton must be J-x or better (my general guideline which is about mainstream). Further, to exclude most deals that would harbor interference, both West and East are constrained to HCP less than 15; freakness less than 6 or playing half-tricks less than 12; longest suit less than 6 or playing half-tricks less than 12.
As predicted, Option B is the clear winner at matchpoints. In fact Option A is dead last, losing to Option C as well.
At total points or IMPs, however, its a different story. Thanks to the game bonus, Option C is now the winner except nonvul at IMPs, where Option A noses out the field evidently the only time that passing 1 NT is the winning strategy. Enlightening, to say the least.
Results for 10,000 Deals
Option | Trick Avg | Make Pct | Matchpoints | Nonvul TPs | Nonvul IMPs | Vul TPs | Vul IMPs
|
---|
A | 7.893 | 90.92 | 17896 44.74 | 1036730 50.48 | 29477 53.22 | 1428730 46.10 | 37313 49.24
|
B | 8.638 | 76.28 | 23620 59.05 | 921670 44.88 | 25532 46.09 | 1294070 41.76 | 32980 43.52
|
C | 8.638 | 52.92 | 18484 46.21 | 1121920 54.63 | 28079 50.69 | 1925620 62.14 | 43368 57.23 |
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 option chosen made a significant difference. The number of tricks won by declarer is shown for each contract, assuming double-dummy play by both sides.
Seed 7337A4B5 10000
1. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 10 5 4
Q 3 2
10 9 6 2
K 10 |  | Q 9 2
9 6 5
A J 8 5
J 6 3 |
1 NT 9 3 NT 9 3 NT 9 | A 8
A K 10
K Q 3
9 8 7 4 2 |
2. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A 9 2
A 10 2
K J 8 6 5
9 4 |  | Q 10 4
Q 6 5 3
9 3
10 8 6 3 |
1 NT 7 3 NT 7 3 NT 7 | K 8 5
K 9
A Q 10 2
K J 7 2 |
3. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 10 9 5 4
9 5
A Q 5 2
8 7 |  | 2
K 10
K 9 8 6 3
9 6 4 3 2 |
1 NT 8 2 10 4 10 | A Q 8
A Q 6 3 2
J 10
K J 10 |
4. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 8 4
A K 6 2
9 2
10 7 6 2 |  | Q 9
9 5
Q J 10 6 5
J 9 4 3 |
1 NT 9 2 9 4 9 | A 10 5 2
Q 10 3
A K 8 3
K 8 |
5. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
8 2
K Q 2
9 8 6 5
K J 6 3 |  | Q 5
9 6 5
K Q J 10 3
10 7 2 |
1 NT 9 2 10 4 10 | A K 10 9 4
A 10 3
A 2
9 8 4 |
6. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K Q 8 4
6 5 3
J 3
J 6 4 2 |  | A 5 2
10 9
K Q 10 9 6
10 7 3 |
1 NT 8 2 10 4 10 | 10 9
A K Q 2
A 8 5 2
K 9 8 |
7. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 9 5
10 6
J 10 9
K 10 9 4 3 |  | 10 8 4
A K 3
Q 8 6 5
J 8 7 |
1 NT 7 2 10 3 10 | A Q 2
Q 9 5 2
A K 3 2
6 2 |
8. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K Q 10 4
K 5
A 6 5
J 10 6 3 |  | 9 8
Q 9 6 2
Q 10 9 8 3
9 7 |
1 NT 8 2 NT 8 2 NT 8 | A 5 2
A 10 3
K J 2
K 8 4 2 |
9. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9
Q 10 9 6 3 2
10 9 8 5
10 7 |  | A Q 8 5 4
K
K J 6 3
9 6 4 |
1 NT 10 3 NT 10 3 NT 10 | K 10 2
A 5
A Q 2
K J 8 3 2 |
10. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 8 5 4
K 10
Q J 6 3
J 8 2 |  | A 2
9 6 5 2
9 8 5 2
K 9 6 |
1 NT 8 3 NT 8 3 NT 8 | K 10 9
A Q 3
A K 10
10 7 4 3 |
Simulation 8Z15 Main |  | Top Stayman or Pass? |
14. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9
10 6 2
Q 9 6 3 2
J 7 4 3 |  | K Q 4
A Q 5 3
J 8 5
9 8 2 |
1 NT 10 2 11 4 11 | A 10 8 5 2
K 9
A K 10
K 10 6 |
20. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9
6 5
J 8 6 5 2
K 9 8 7 4 |  | 10 5 2
A 10 9 2
A Q 9 3
J 6 |
1 NT 8 2 11 4 11 | A K Q 8 4
K Q 3
K 10
10 3 2 |
22. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 4
10 9 6
Q 9 6 2
J 9 6 4 |  | K Q 10 8 5
K
J 10 5 3
K 7 2 |
1 NT 10 2 11 4 11 | A 2
A Q 5 3 2
A K 8
10 8 3 |
25. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 9 5 2
K
A 9 8 5
10 8 7 4 |  | A 10
10 9 6 3 2
10 2
J 9 6 3 |
1 NT 9 3 NT 9 3 NT 9 | Q 8 4
A Q 5
K Q J 6 3
K 2 |
26. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 9 6 5 3
J 10 9 8 5
10 8 6 |  | K 10 9 5 2
Q 2
A Q 2
K 4 3 |
1 NT 9 2 10 4 10 | A Q 8 4
A K
K 6 3
J 9 7 2 |
27. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 4 2
K Q 9 5
8 6 5 2
8 6 |  | Q 5
A 6 3
Q J 10 9
J 9 4 2 |
1 NT 10 2 11 4 11 | A K 10 8
10 2
A K 3
K 10 7 3 |
32. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
8 5
A 9 2
J 10 9 5
J 8 7 4 |  | K Q 4
K 5 3
8 6 3
K 10 9 2 |
1 NT 7 2 9 4 9 | A 10 9 2
Q 10 6
A K Q 2
6 3 |
44. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 8 4
10 2
J 10 6 5
J 9 7 6 |  | Q
A K 6 3
A 9 3 2
10 4 3 2 |
1 NT 10 2 9 4 9 | A K 9 5 2
Q 9 5
K Q 8
K 8 |
47. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A 4
9 6 3
J 10 8 5
K 7 4 2 |  | 8 5 2
Q 10 2
K Q 6 2
10 8 6 |
1 NT 9 2 10 4 10 | K Q 10 9
A K 5
A 9 3
J 9 3 |
48. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9
10 9 6 3
A Q J 9
J 10 9 6 |  | 10 5 4 2
A K 2
10 8 3 2
7 4 |
1 NT 7 2 8 4 8 | A K Q 8
Q 5
K 6 5
K 8 3 2 |
Simulation 8Z15 Main |  | Top Stayman or Pass? |
49. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 8 5
Q 6 3
K 9 6 3
K J 6 |  | A 9 4
10 9 5
J 10 8 2
8 3 2 |
1 NT 9 3 NT 9 3 NT 9 | K 10 2
A K 2
A Q 5
10 9 7 4 |
50. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 9 5
Q 6
J 9 6 5 3
9 7 2 |  | 4 2
A K 9 3
K Q 8 2
10 6 3 |
1 NT 9 2 10 4 10 | A K Q 8
10 5 2
A 10
K J 8 4 |
53. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 9 5
K 9
Q 6 3 2
K J 8 4 |  | 10 2
10 5 3 2
K J 10 9
7 3 2 |
1 NT 8 2 10 4 10 | A K 8 4
A Q 6
A 8 5
10 9 6 |
55. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K Q 10 9 2
6 5
Q J 5
J 10 9 |  | 5 4
K 9 3
K 10 3 2
8 7 6 4 |
1 NT 9 2 11 4 11 | A 8
A Q 10 2
A 9 8 6
K 3 2 |
56. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 10 4 2
10 2
A 6 5 2
K 8 4 |  | Q 9 5
Q 5
K 9 8 3
9 6 3 2 |
1 NT 9 2 10 4 10 | A 8
A K 9 6 3
Q J 10
J 10 7 |
57. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 8 5 2
A 2
Q J 8 5
J 4 3 |  | Q 10
Q 9 6 5
A 9 3 2
8 6 2 |
1 NT 9 3 NT 9 3 NT 9 | A K 4
K 10 3
K 10 6
K 10 9 7 |
58. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 8 5 4
5 3
K 8 5
J 8 7 2 |  | 10
K 10 9 2
Q J 10 2
K 10 6 3 |
1 NT 7 2 9 4 9 | A K 9 2
A Q 6
A 9 6 3
9 4 |
60. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A 9
9 5
Q 10 6 3
J 10 6 4 2 |  | Q 10 8 4 2
K Q 6
J 8 2
9 7 |
1 NT 9 2 10 4 10 | K 5
A 10 3 2
A K 9 5
K 8 3 |
62. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 2
K Q 9
10 8 6 5 3
J 8 6 |  | A Q 9 4
6 3
J 9
K 10 7 4 2 |
1 NT 6 2 8 4 8 | K 8 5
A 10 5 2
A K Q 2
9 3 |
64. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 2
A Q 10 2
J 10 9 6 2
7 4 |  | 9 5 4
5 3
A Q 8 5
10 9 8 3 |
1 NT 6 2 8 4 8 | A Q 10 8
K 9 6
K 3
K J 6 2 |
Simulation 8Z15 Main |  | Top Stayman or Pass? |
66. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K Q 9 5
A K
Q 10 8 3
10 6 2 |  | 10 2
Q 6 5 3 2
9 5 2
7 4 3 |
1 NT 9 3 NT 9 3 NT 9 | A 8 4
10 9
A K J 6
K J 9 8 |
67. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 10 8 5
9 3
K Q J
K 10 8 2 |  | Q 2
10 6 5
10 8 3 2
J 6 4 3 |
1 NT 9 2 10 4 10 | A 9 4
A K Q 2
A 9 6 5
9 7 |
68. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 5
K Q 10 5
10 6 5 3
9 4 2 |  | A 8 2
9 6 2
K Q 8
J 8 6 3 |
1 NT 9 2 10 4 10 | K Q 9 4
A 3
A J 9 2
K 10 7 |
72. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 4
Q 9 6 2
9 6 5
K 8 6 3 |  | K 10 2
K 10 5
K 10 8 2
J 10 7 |
1 NT 9 2 11 4 11 | A Q 8 5
A 3
A Q J 3
9 4 2 |
76. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 8 2
A K 9 5
J 10 3
K 6 3 |  | K 9
Q 10 3
9 8 6 2
10 9 8 7 |
1 NT 9 2 11 4 11 | A Q 5 4
6 2
A K Q 5
J 4 2 |
77. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 5
K 2
K Q 9 2
J 8 7 4 3 |  | A 4 2
10 9 3
J 8 6 3
10 9 6 |
1 NT 8 2 10 4 10 | K 10 9 8
A Q 6 5
A 10 5
K 2 |
80. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 2
10 6 5 3
Q 10 8
10 9 3 2 |  | Q 10 4
A Q
A J 9 3 2
8 7 4 |
1 NT 8 2 10 4 10 | A K 8 5
K 9 2
K 6 5
K J 6 |
89. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 4 2
5
J 9 6 3
K 10 7 4 2 |  | K 8 5
K Q 6 3
Q 10 2
J 9 3 |
1 NT 8 2 11 4 11 | A 10 9
A 10 9 2
A K 8 5
8 6 |
90. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 5 4 2
K 10 5 2
3 2
K 9 3 |  | Q 10
Q 9 3
A Q 10 8
10 8 7 6 |
1 NT 9 3 NT 9 3 NT 9 | A K 8
A 6
K J 9 6 5
J 4 2 |
91. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
5 4
9 6 3
Q J 8 3
8 7 4 2 |  | A K 10 2
Q 2
9 6 2
K 10 9 6 |
1 NT 9 2 10 4 10 | Q 9 8
A K 10 5
A K 10 5
J 3 |
Simulation 8Z15 Main |  | Top Stayman or Pass? |
96. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 5 4 2
10 6 5
8 6 3
K 9 2 |  | A Q 9
K 9 2
K 9 5
J 8 4 3 |
1 NT 10 3 NT 10 3 NT 10 | K 8
A Q 3
A Q J 10 2
10 7 6 |
97. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A K Q
10 9 5 3
9 8 5
10 7 4 |  | 10 8 4 2
6
A Q 6 3 2
J 3 2 |
1 NT 9 2 10 4 10 | 9 5
A K Q 2
K J 10
K 9 8 6 |
100. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 10
Q 2
Q 6 5 3
J 10 9 8 7 |  | 5 4 2
K 9 6
K J 10 9 2
3 2 |
1 NT 8 2 10 4 10 | A Q 9 8
A 10 5 3
A 8
K 6 4 |
101. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A 8 4
9 2
A 10 9 8 5
J 6 3 |  | 5
A Q 6 3
J 3 2
10 9 8 7 2 |
1 NT 7 2 10 4 10 | K Q 10 9 2
K 10 5
K Q 6
K 4 |
102. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 5 2
9 6
A 10 6
9 8 7 6 2 |  | 10 9 8 4
A K 5
K 9 8 2
4 3 |
1 NT 8 2 8 4 8 | A K
Q 10 3 2
Q J 5 3
K J 10 |
105. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
8 5
Q 6 5
K 9 8
10 8 7 6 3 |  | A Q 10 4 2
A 9 3
10 6 5
J 2 |
1 NT 9 3 NT 9 3 NT 9 | K 9
K 10 2
A Q J 3 2
K 9 4 |
106. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 9 8
Q 5 3
10 8 3 2
J 8 3 |  | A Q 5 2
A 6 2
K 9 5
10 9 2 |
1 NT 9 3 NT 9 3 NT 9 | K 4
K 10 9
A Q J 6
K 7 6 4 |
108. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 9 8 4 2
10 6
J 3
K J 10 7 |  | 5
5 3 2
A K 10 8 6
8 4 3 2 |
1 NT 9 2 10 4 10 | A Q 10
A K Q 9
Q 9 5 2
9 6 |
111. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 4
9 6 3
J 10 8 6 5 3
4 3 |  | 10 9 8 2
K Q
A Q 2
J 8 7 2 |
1 NT 9 2 11 4 11 | A K 5
A 10 5 2
K 9
K 10 9 6 |
115. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 10 4 2
K 3 2
J 10 6 2
K 7 |  | 9 8 5
A 10
Q 9 8 5
J 8 6 3 |
1 NT 8 2 10 4 10 | A K
Q 9 6 5
A K 3
10 9 4 2 |
Simulation 8Z15 Main |  | Top Stayman or Pass? |
116. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 8 4
5 3 2
J 10 9 2
J 10 9 |  | A 10 9 5
Q
A Q 6 5
8 7 3 2 |
1 NT 9 2 11 4 11 | K 2
A K 10 9 6
K 8 3
K 6 4 |
118. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
8 5 4 2
Q
Q 10 6 3 2
K 4 3 |  | K Q
K 10 6 3
J 9 8
10 7 6 2 |
1 NT 9 2 10 4 10 | A 10 9
A 9 5 2
A K 5
J 9 8 |
119. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A 4 2
K 10
10 9 6 2
K 10 6 4 |  | K 9 8
9 6 5
Q J 8 5 3
9 7 |
1 NT 7 2 9 4 9 | Q 10 5
A Q 3 2
A K
J 8 3 2 |
121. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
8 5 4
K Q 9 5 3
Q 8
J 9 4 |  | K 9
10 6
A J 10 6 2
8 7 3 2 |
1 NT 9 2 11 4 11 | A Q 10 2
A 2
K 9 5 3
K 10 6 |
128. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
4 2
Q 10 9 5 3
K 6
K 9 7 3 |  | 10 8 5
K
Q J 10 9 5 3
J 10 6 |
1 NT 9 2 10 4 10 | A K Q 9
A 6 2
A 8 2
8 4 2 |
130. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 9 4 2
5 3
A Q 10
J 7 6 3 |  | K 8
Q 9 2
K J 9 8
10 9 8 2 |
1 NT 9 2 11 4 11 | A Q 5
A K 10 6
6 5 3 2
K 4 |
139. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 8 5 4 2
Q 5
A 9 5 2
7 3 |  | K
10 3 2
K Q 10 6 3
J 10 4 2 |
1 NT 8 2 11 4 11 | A Q 10
A K 9 6
J 8
K 9 8 6 |
142. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
8 4
5 2
J 6 5 2
J 10 8 4 2 |  | A Q 10 5 2
K Q 9 3
K 3
7 3 |
1 NT 9 3 NT 9 3 NT 9 | K 9
A 10 6
A Q 10 9 8
K 9 6 |
144. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A 10 9 2
9 5
J 9 5
10 9 8 4 |  | K 8 5
Q 6 2
A 8 6 3
J 7 3 |
1 NT 9 2 10 4 10 | Q 4
A K 10 3
K Q 10 2
K 6 2 |
146. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 5 4 2
A Q 10
K 10 5
10 8 2 |  | 8
9 6 3
Q 9 8 6 3 2
K J 7 |
1 NT 6 2 8 4 8 | A K Q 10
K 5 2
A J
9 6 4 3 |
Simulation 8Z15 Main |  | Top Stayman or Pass? |
147. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 10 9
9 3
9 8 6 3
J 10 8 4 |  | 5 2
K Q 6 5
A 10 5
K 9 7 6 |
1 NT 7 2 9 4 9 | A Q 8 4
A 10 2
K Q J 2
3 2 |
149. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 5
A 9 6 5
10 3 2
K J 7 6 |  | K 8 2
Q 2
Q 9 6 5
10 9 8 2 |
1 NT 9 2 10 4 10 | A 10 9 4
K 10 3
A K J 8
4 3 |
150. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 8 4
5 3 2
J 6 5 3
K 9 8 |  | K 10 9 2
Q 6
K Q 9
10 7 6 4 |
1 NT 8 2 10 4 10 | A 5
A K 10 9
A 10 8 2
J 3 2 |
151. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 9 5
Q 9 5 3
10 3
7 6 3 2 |  | Q 4 2
A
A Q J 8 5
J 10 9 8 |
1 NT 8 2 10 4 10 | A K 8
K 10 6 2
K 9 6 2
K 4 |
152. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 9 8 4 2
5 3
10 6 5
6 3 2 |  | A 10
K 10 9 6
A K 8 2
10 9 4 |
1 NT 9 3 NT 9 3 NT 9 | K 5
A Q 2
Q J 9 3
K J 8 7 |
159. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A 8 5 4
Q 6
Q 5 2
K J 8 2 |  | 9 2
10 9 3 2
K 9 8
7 6 4 3 |
1 NT 9 3 NT 9 3 NT 9 | K Q 10
A K 5
A J 10 6 3
10 9 |
163. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 4
K 6 5 2
K Q 6 2
K 7 2 |  | Q 8 5
Q 10 9
10 5 3
10 8 4 3 |
1 NT 9 2 10 4 10 | A K 9 2
A 3
A J 9 8
J 9 6 |
164. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 4 2
A 3 2
J 8
K 10 4 3 2 |  | K 10 5
Q 10 9 5
Q 10 9 5
7 6 |
1 NT 9 3 NT 9 3 NT 9 | A Q 8
K 6
A K 6 3 2
J 9 8 |
165. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 10 2
A 5 3
9 6 5 2
10 4 2 |  | A Q 5
Q 10 9 2
10 8
J 8 7 6 |
1 NT 9 3 NT 9 3 NT 9 | 9 8 4
K 6
A K Q J 3
K 9 3 |
167. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 10 8 4
A 9 6
Q J 2
9 8 7 |  | 5
Q 5 3 2
9 8 6 5
K J 4 2 |
1 NT 7 2 9 4 9 | A K 9 2
K 10
A K 10 3
10 6 3 |
Simulation 8Z15 Main |  | Top Stayman or Pass? |
171. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 8 5
10 9 3
A Q J 9 3
8 3 |  | A 4
K Q 5 2
5 2
10 7 6 4 2 |
1 NT 7 2 9 4 9 | K Q 9 2
A 6
K 10 8 6
K J 9 |
175. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 5
Q 10 6 2
A 9 5 3 2
8 6 |  | 8 4 2
K 9 5
K Q J
9 4 3 2 |
1 NT 8 2 10 4 10 | A K Q 10
A 3
10 8 6
K J 10 7 |
177. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 9 8
6 5 3
5 2
K 9 7 4 2 |  | A 10 5 4
K Q 9
J 10 9 8 3
3 |
1 NT 9 3 NT 9 3 NT 9 | Q 2
A 10 2
A K Q 6
J 10 8 6 |
182. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 8 5
10 9
J 9 8 3
10 9 8 7 |  | Q 9 4 2
Q 2
A K 10 5
6 3 2 |
1 NT 9 2 10 4 10 | A 10
A K 6 5 3
Q 6 2
K J 4 |
194. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 9 8 4
5 2
Q 8
K 10 9 7 2 |  | A 5 2
Q 10 9 6
J 6 5 2
J 8 |
1 NT 9 3 NT 9 3 NT 9 | K 10
A K 3
A K 10 9 3
6 4 3 |
197. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 8 4
A 10 6
A K 6 5
10 6 2 |  | 10 9 5
Q 2
10 9 8 3 2
9 7 4 |
1 NT 6 2 8 4 8 | A K 2
K 9 5 3
Q J
K J 8 3 |
204. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 10 9 8 2
9
Q 5 3 2
K 6 2 |  | A 5
Q 10 6 3 2
J 10
10 8 7 3 |
1 NT 9 3 NT 9 3 NT 9 | Q 4
A K 5
A K 9 8 6
J 9 4 |
207. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 4
K 10 5 3
J 8 6 3
K 9 6 |  | 10 8 5
A Q 6
K 5 2
10 8 4 2 |
1 NT 9 2 10 4 10 | A K Q 2
9 2
A Q 10 9
J 7 3 |
210. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 8 5 4
Q 6 2
K 10 9
K 6 3 |  | 10 9
K 10 9 5
Q J 8 6 2
10 2 |
1 NT 9 3 NT 9 3 NT 9 | A K 2
A 3
A 5 3
J 9 8 7 4 |
215. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 9 8 4
Q 6
K J 8 6 2
10 4 |  | K 2
A 10 9 5 3
Q
J 9 8 6 2 |
1 NT 9 3 NT 9 3 NT 9 | A Q 5
K 2
A 10 9 5 3
K 7 3 |
Simulation 8Z15 Main |  | Top Stayman or Pass? |
221. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 9 5 2
10 5
10 5
K 10 8 7 2 |  | A 10 8
A 9 3
Q J 8 3 2
9 3 |
1 NT 8 2 10 4 10 | K 4
K Q 6 2
A K 9 6
J 6 4 |
222. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A 10 5 4
K 9
J 8 3
10 8 3 2 |  | Q
Q 6 5 3
Q 10 9 6 5 2
J 4 |
1 NT 9 2 10 4 10 | K 9 8 2
A 10 2
A K
K 9 7 6 |
223. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A 9 5 2
K 5 3 2
K J 2
9 3 |  | 10 8
9 6
8 5 3
K J 10 8 7 2 |
1 NT 9 3 NT 9 3 NT 9 | K Q 4
A Q 10
A Q 10 9 6
6 4 |
225. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 8 5 4
A 3
J 8 6 5
8 6 4 |  | Q 10
K 9 6 2
A 9 3
J 10 9 7 |
1 NT 9 3 NT 9 3 NT 9 | A K 2
Q 10 5
K Q 10 2
K 3 2 |
227. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A Q 9 2
10 6 5 2
A K 8 3
7 |  | 8
Q 9 3
9 6 5 2
10 9 8 3 2 |
1 NT 8 2 8 4 8 | K 10 5 4
A K
Q J 10
K J 6 4 |
228. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 9 8
K 9 6 5
Q J 2
8 6 2 |  | 10 4
A Q 2
10 9 8 6 3
7 4 3 |
1 NT 9 2 10 4 10 | A Q 5 2
10 3
A K 5
K J 10 9 |
234. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 4
Q 5
9 3 2
J 8 7 6 4 2 |  | 10 8 5
A 9 6 3
K Q J 10 6
10 |
1 NT 8 2 10 4 10 | A K 9 2
K 10 2
A 8 5
K 9 3 |
236. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 4
10 5 3
K J 2
K 9 8 6 4 |  | K Q 8
Q 9 6
10 9 5 3
J 3 2 |
1 NT 7 2 10 4 10 | A 9 5 2
A K 2
A Q 8 6
10 7 |
237. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
9 4
5
A 9 8 5 3 2
10 9 6 3 |  | 10 8 2
A Q 9 3 2
K Q 6
7 4 |
1 NT 6 2 8 4 8 | A K Q 5
K 10 6
J 10
K J 8 2 |
240. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 8
K Q 10 9 5
K 10 8
10 6 2 |  | 9 5 2
6 3
Q 9 6 3 2
K J 7 |
1 NT 7 2 9 4 9 | A K 10 4
A 2
A J 5
9 8 4 3 |
Simulation 8Z15 Main |  | Top Stayman or Pass? |
9991. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 9 5
10 9 6
Q 8 6 3
9 8 6 |  | A 8 2
A Q 3
J 9 5 2
7 4 3 |
1 NT 8 3 NT 8 3 NT 8 | K 10 4
K 5 2
A K 10
K J 10 2 |
9992. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
8 5
K 9 5
J 10 8
J 10 9 7 4 |  | 10 9 4
Q 10 2
A K Q 5 2
8 3 |
1 NT 8 2 9 3 9 | A K Q 2
A 6 3
9 6 3
K 6 2 |
9993. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A K Q 10
5 2
10 6 2
10 9 7 4 |  | 9 5 4
Q 10 9 6
Q J 5
J 8 6 |
1 NT 9 3 NT 9 3 NT 9 | 8 2
A K 3
A K 9 8 3
K 3 2 |
9994. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
8 2
A Q 6 3
9 5 3
K 8 6 3 |  | Q 9 5
10 5
K Q 8 6
J 10 4 2 |
1 NT 9 2 10 4 10 | A K 10 4
K 9 2
A J 10 2
9 7 |
9995. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A K 9
10 6 3
A 9 6 3
9 6 2 |  | 8 2
9 5 2
K J 10 8
8 7 4 3 |
1 NT 7 2 9 4 9 | Q 10 5 4
A K Q
Q 5 2
K J 10 |
9996. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
10 9 5
A
A 8 6 3 2
9 8 7 2 |  | A 8 4 2
9 6 5 3
Q 10
K 10 6 |
1 NT 8 2 9 3 9 | K Q
K Q 10 2
K J 9 5
J 4 3 |
9997. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
A 10 9 4
6 5 2
K 8 3
K 7 3 |  | 5
Q 10 9
Q J 9 6 5
9 6 4 2 |
1 NT 8 2 9 4 9 | K Q 8 2
A K 3
A 10 2
J 10 8 |
9998. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K Q 10 9 5 4
K 6
10 5 3
10 9 |  | 8
A 5 3
K 8 6 2
J 8 7 4 2 |
1 NT 9 2 10 4 10 | A 2
Q 10 9 2
A Q J 9
K 6 3 |
9999. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
K 2
5 3
8 6 5 3 2
J 10 7 6 |  | A 10 9 8 5
Q 10 6
K Q J
9 3 |
1 NT 8 2 9 3 9 | Q 4
A K 9 2
A 10 9
K 8 4 2 |
10000. | J 7 6 3
J 8 7 4
7 4
A Q 5 |
Q 9 4 2
9 2
K Q 10 6
9 6 2 |  | K 10 5
K Q 5
J 9 8 2
10 7 4 |
1 NT 9 2 10 4 10 | A 8
A 10 6 3
A 5 3
K J 8 3 |
Simulation 8Z15 Main |  | Top Stayman or Pass? |
© 2017 Richard Pavlicek