Simulation 8Z01 Main

A Bid from Outer Space

by Richard Pavlicek

This hand caused quite a sensation in the 2010 Spingold. East opened 3 with neither side vulnerable, and an expert South player made a brash anti-percentage bid that worked. South certainly has a fine hand, with game likely and slam in the picture. What would you do?

West
North
East
3 South
? —
A 3 2
A Q 8 2
A K Q 7 3 2

Many players would consider bidding 6 , certainly a reasonable gamble considering the limited options available. Amazingly, this player jumped to 6 and caught partner with 8-3 9-7-4 K-7-6-5 9-8-6-4. Imagine the opposing team’s furor when 6 was cold (diamonds split 3-2) and 6 had no play.

While 6 is obviously a shot in the dark, just how bad is it? Much has been said about its dubious merit, as well as the possibility that South may have had unauthorized information about the board. I am not here to pass judgment but thought it would be interesting to compare the two bids with a simulation.

For a simulation I created 10,000 random deals with the South hand fixed. East was constrained for an equal-vul 3 opening, or specifically: 6+ spades; 10 HCP max; fewer than 2 defensive tricks unless all in spades; 5.5 to 6.5 playing tricks with at least 4.5 in spades; at most 1 top heart honor (A-K-Q) or none if holding 4 hearts.

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.

The results brought no surprises. For the pertinent scoring method (IMPs, none vul) 6 gained 33,494 IMPs versus the crazed 6 bid — which in raw score is well over 2 million points. Ouch! In practice the carnage would be even worse, as many of the failing 6 bids would be doubled.

Results for 10,000 Deals
Contract Trick Average Make Percent Overtrick Percent
6 11.5770 59.07 21.98
6 10.5087 39.28 20.60

Results for 10,000 Deals
Contract	Trick Average	Make Percent	Overtrick Percent
6	11.5770	59.07	21.98
6	10.5087	39.28	20.60

Comparison Net W-L NV Net Score NV Net IMPs Vul Net Score Vul Net IMPs
6 vs. 6 +2999 +2,350,690 +33,494 +3,768,490 +43,075

Comparison	Net W-L	NV Net Score	NV Net IMPs	Vul Net Score	Vul Net IMPs
6 vs. 6	+2999	+2,350,690	+33,494	+3,768,490	+43,075

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

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

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

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

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

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

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

8. A Q
K Q J
9 7 5
J 9 8 6 5
K 6 3 2
10 8 7 6
J 10 3
10 4 Table J 10 9 8 7 5 4
9 5 4
K 6 4
—
6 → 12
6 → 11 —
A 3 2
A Q 8 2
A K Q 7 3 2

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

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

Simulation 8Z01 Main Top A Bid from Outer Space

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

12. 8 6 2
J 9 5
10 9 7 5
J 9 5
A Q 5
K Q 10 8 6
K 6 3
10 6 Table K J 10 9 7 4 3
7 4
J 4
8 4
6 → 11
6 → 11 —
A 3 2
A Q 8 2
A K Q 7 3 2

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

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

15. Q 8 4
K 7 6 5
J 7 6 5
10 4
K 6 3
J 9 8 4
K 10 4
J 9 6 Table A J 10 9 7 5 2
Q 10
9 3
8 5
6 → 11
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

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

17. 9 3
Q 10 7 5
10 9 7 4 3
J 4
Q J 10 6
K 9 8 4
K 6
10 9 5 Table A K 8 7 5 4 2
J 6
J 5
8 6
6 → 11
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

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

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

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

Simulation 8Z01 Main Top A Bid from Outer Space

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

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

301. 7 5 4 2
Q 8 7 5
J 9 7 5 3
—
K 9 3
K J 10 9 4
K 4
J 10 6 Table A Q J 10 8 6
6
10 6
9 8 5 4
6 → 10
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

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

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

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

1271. K 8 2
J 8 7 6 4
7
J 6 5 4
10 6 4
K Q
K J 10 9 6 5 4
10 Table A Q J 9 7 5 3
10 9 5
3
9 8
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

1624. 8 6
K Q J 8 5
5
J 10 9 6 4
A K 10 5
10 7 6
K 9 7 3
8 5 Table Q J 9 7 4 3 2
9 4
J 10 6 4
—
6 → 13
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

1917. K Q J 6 2
8
J 10 9 6 5 4 3
—
5
K Q 10 9 4
7
J 10 8 6 5 4 Table A 10 9 8 7 4 3
J 7 6 5
K
9
6 → 8
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

1961. K J 6 5 3 2
K Q 8
K 10 6 5
—
10
7 6 5
9 4 3
J 10 9 8 6 5 Table A Q 9 8 7 4
J 10 9 4
J 7
4
6 → 10
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

Simulation 8Z01 Main Top A Bid from Outer Space

2137. K Q 8 6 2
K 10 8
J 10 7 4 3
—
9
Q J 7 5 4
K 6
J 10 9 5 4 Table A J 10 7 5 4 3
9 6
9 5
8 6
6 → 10
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

2244. K Q 4
K Q 10 9 7
K 7 5 4 3
—
10 9 5
8 6 5
9
J 10 9 8 6 4 Table A J 8 7 6 3 2
J 4
J 10 6
5
6 → 10
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

2465. A Q 8
Q 8 7 6
K J 6 5 4
4
6 3 2
10 9 5
10 9
J 10 9 6 5 Table K J 10 9 7 5 4
K J 4
7 3
8
6 → 10
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

2717. 7 6 5
J 10 9 8
6
J 10 9 8 6
A Q J
K Q 7 6
10 9 5 4 3
5 Table K 10 9 8 4 3 2
5 4
K J 7
4
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

2757. A 7 6
J 10 6 4
—
J 10 9 6 5 4
J 4 2
K 9 5
K J 10 7 5 3
8 Table K Q 10 9 8 5 3
Q 8 7
9 6 4
—
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

2876. 8 6
Q J 8 7 5
K J 10 6 4
6
Q 7 4 2
K 6
9 3
J 10 8 5 4 Table A K J 10 9 5 3
10 9 4
7 5
9
6 → 9
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

2958. K J 8 7
J 7 5
7
10 9 6 5 4
4 2
K 10 9 8 6
K J 9 5 4 3
— Table A Q 10 9 6 5 3
Q 4
10 6
J 8
6 → 12
6 → 4 —
A 3 2
A Q 8 2
A K Q 7 3 2

3017. Q 9 2
J 10 9 8 6 5
—
9 8 6 4
K 5 4
Q
K J 10 7 6 5 4
J 10 Table A J 10 8 7 6 3
K 7 4
9 3
5
6 → 12
6 → 4 —
A 3 2
A Q 8 2
A K Q 7 3 2

3390. K J 8 3 2
Q 6
J 9 7 6 4
9
A
K 10 9 8 7 5
5
J 10 8 5 4 Table Q 10 9 7 6 5 4
J 4
K 10 3
6
6 → 9
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

3421. J 10 5 2
9 8 7
K J 10 7 5 3
—
A 6
K Q 5 4
4
J 10 9 8 6 4 Table K Q 9 8 7 4 3
J 10 6
9 6
5
6 → 8
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

Simulation 8Z01 Main Top A Bid from Outer Space

3514. K Q J 10
10 4
J 10 7 5 4 3
10
6 5
K J 9 8 6
9
J 8 6 5 4 Table A 9 8 7 4 3 2
Q 7 5
K 6
9
6 → 8
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

3614. Q 10 8 5
Q 9 6 4
—
10 9 8 6 4
K 9 6
K 10 8 7
K J 9 4 3
5 Table A J 7 4 3 2
J 5
10 7 6 5
J
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

3668. J 9 5
K 10 9 6 5
K 9 7 5
6
K 4 3
Q 8 7
6 3
J 10 9 8 4 Table A Q 10 8 7 6 2
J 4
J 10 4
5
6 → 10
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

3865. Q 7 6
Q 8 5
10
J 10 9 6 5 4
K 9 8 3
K J 6
K J 9 7 6 5
— Table A J 10 5 4 2
10 9 7 4
4 3
8
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

4026. 5 3
K Q J 10 9 7 5 4
10
10 6
A Q 10 4
8 6
K J 7 4
9 5 4 Table K J 9 8 7 6 2
—
9 6 5 3
J 8
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

4307. 7 3
K Q J 7 6 5 4
7
10 9 8
A J 8 4 2
8
K J 5 3
J 6 5 Table K Q 10 9 6 5
10 9
10 9 6 4
4
6 → 13
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

4353. Q J 8 5 3 2
K 4
6
J 10 8 6
—
J 10 8 7 6 5
K 10 7 5 3
5 4 Table A K 10 9 7 6 4
Q 9
J 9 4
9
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

4555. Q 9 6 4
Q 8 4
4
J 10 8 6 5
J 7
K J 10 9 5
K J 10 9 7 6
— Table A K 10 8 5 3 2
7 6
5 3
9 4
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

4876. K Q
Q 8 7 4
K J 10 7 6
J 8
9 7 5 4 3
K J 10 9 6 5
—
10 9 Table A J 10 8 6 2
—
9 5 4 3
6 5 4
6 → 8
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

5269. A J 8 7 6
J 8 5 4
—
J 10 5 4
3
K Q 10 6
K J 10 7 4
9 8 6 Table K Q 10 9 5 4 2
9 7
9 6 5 3
—
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

Simulation 8Z01 Main Top A Bid from Outer Space

5306. 9 8 7
K J 10 7 4
K J 7 3
J
A J 4 2
Q
9 6
10 9 8 6 5 4 Table K Q 10 6 5 3
9 8 6 5
10 5 4
—
6 → 10
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

5364. A 8 6 5
J 7 6 4
5
J 10 6 5
Q 9 4
K Q 10 9 8 5
K 10 7
8 Table K J 10 7 3 2
—
J 9 6 4 3
9 4
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

5413. A 8 3
Q 10 8 7 4
10
9 8 6 4
9 6 5 2
K 9
K 9 4 3
J 10 5 Table K Q J 10 7 4
J 6 5
J 7 6 5
—
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

5863. 2
K J 10 9 8 6
10 9 6 4 3
6
A Q J 8 5
7
7
J 10 9 8 5 4 Table K 10 9 7 6 4 3
Q 5 4
K J 5
—
6 → 8
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

5926. A 8 7 2
9 7
J 10 6 5 3
6 4
Q 10
K Q J 8
K 9 7
J 9 8 5 Table K J 9 6 5 4 3
10 6 5 4
4
10
6 → 10
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

6017. J 4 2
K Q J 9 6 5 4
9
9 4
A K 9
10 7
K J 6 4
10 8 6 5 Table Q 10 8 7 6 5 3
8
10 7 5 3
J
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

6196. J 8
K Q 9 7 6 5
J 5
9 8 6
A K 6 2
J 10 8
K 3
J 10 5 4 Table Q 10 9 7 5 4 3
4
10 9 7 6 4
—
6 → 12
6 → 4 —
A 3 2
A Q 8 2
A K Q 7 3 2

6271. K 7 2
Q J 9 8 7 6 5
5
J 10
J 8 6 3
K 10
K 9 7 6 4 3
4 Table A Q 10 9 5 4
4
J 10
9 8 6 5
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

6478. K Q 9 7 4
10 9
10
J 10 9 5 4
8 3
K Q 8 4
K J 9 6 5 3
6 Table A J 10 6 5 2
J 7 6 5
7 4
8
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

6578. 10 6 5 4 3
Q
J 10 9 7 6 5
6
A 9
K J 10 9 8
K 3
10 8 5 4 Table K Q J 8 7 2
7 6 5 4
4
J 9
6 → 9
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

Simulation 8Z01 Main Top A Bid from Outer Space

6858. 8 4
K 10 9 7 6 5 4
—
J 8 6 4
A 10 9 7
Q
K J 10 7 4 3
9 5 Table K Q J 6 5 3 2
J 8
9 6 5
10
6 → 13
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

7179. 9
10 9 7 6 5 4
7
10 9 8 6 5
Q J 10 4 2
K J
K J 10 6 4
J Table A K 8 7 6 5 3
Q 8
9 5 3
4
6 → 12
6 → 4 —
A 3 2
A Q 8 2
A K Q 7 3 2

7221. 8 6 4 2
K 9 7 6
3
10 9 8 5
K J
Q J 10 5 4
K J 10 5 4
4 Table A Q 10 9 7 5 3
8
9 7 6
J 6
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

7482. 10 5 3
K 7 6
10 7 6 4 3
9 5
K J 8
Q J 10 5
K J
J 8 6 4 Table A Q 9 7 6 4 2
9 8 4
9 5
10
6 → 10
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

7593. Q 10 2
Q 10 9 8
K J 10 9 6 4
—
9 5 4
K J 5 4
3
J 10 9 5 4 Table A K J 8 7 6 3
7 6
7 5
8 6
6 → 10
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

7761. A Q 5 2
10 9 6
K J 10 9 7 4
—
7
K J 8 7 5 4
3
J 9 6 5 4 Table K J 10 9 8 6 4 3
Q
6 5
10 8
6 → 10
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

7854. 8 5 2
Q 10 8 6
K 10 9 6 3
4
K 9 6 3
K J 9 7 5 4
—
J 10 6 Table A Q J 10 7 4
—
J 7 5 4
9 8 5
6 → 7
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

7909. J 8 7
Q 8 6 4
9 7 6 5 4
9
K 9 3 2
K J 10 7 5
K J
6 5 Table A Q 10 6 5 4
9
10 3
J 10 8 4
6 → 9
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

8010. A 5 2
K J 9 6 4
K J 10 5 3
—
J 10 6
Q 10 7 5
—
J 10 9 8 5 4 Table K Q 9 8 7 4 3
8
9 7 6 4
6
6 → 10
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

8106. 9 7 5 4
J 10 8 4
—
J 10 8 6 5
A 8 3
K 9 5
K 10 7 6 3
9 4 Table K Q J 10 6 2
Q 7 6
J 9 5 4
—
6 → 12
6 → 3 —
A 3 2
A Q 8 2
A K Q 7 3 2

Simulation 8Z01 Main Top A Bid from Outer Space

8229. A J 6 4 2
9
K J 7 6 5 3
8
8 5
K Q 10 8 7
10
J 10 9 6 5 Table K Q 10 9 7 3
J 6 5 4
9 4
4
6 → 10
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

8386. K 10 6
J 8 5 4
10
J 10 6 5 4
J 8 7 4
K Q 10 7
K J 7 6
9 Table A Q 9 5 3 2
9 6
9 5 4 3
8
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

8388. A K Q 9 7 5
10 9 5
7
9 6 5
—
Q J 7 4
K J 10 9 6 5 3
10 8 Table J 10 8 6 4 3 2
K 8 6
4
J 4
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

8503. A J 8
7 4
K J 10 7 6 5 4 3
—
9 7 4 2
K Q J 8
9
J 9 5 4 Table K Q 10 6 5 3
10 9 6 5
—
10 8 6
6 → 9
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

9014. Q 10
K Q J 9 8 7 6 4
7
10 8
K 8 6 4 2
—
K 10 9 5
9 6 5 4 Table A J 9 7 5 3
10 5
J 6 4 3
J
6 → 13
6 → 4 —
A 3 2
A Q 8 2
A K Q 7 3 2

9130. A J 10 2
10 7 6
10
J 10 8 6 4
5 3
Q J 9 8 5
K J 9 7 6 5
— Table K Q 9 8 7 6 4
K 4
4 3
9 5
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

9203. 10 7 2
Q J 9 8 5
6
10 9 8 6
A 6 3
K 7 4
K 10 7 5 4
J 5 Table K Q J 9 8 5 4
10 6
J 9 3
4
6 → 12
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

9212. K 10 2
K 10 7 6 5 4
9 7 6 5
—
A 8 3
Q 8
J 10 4
J 10 9 8 5 Table Q J 9 7 6 5 4
J 9
K 3
6 4
6 → 10
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

9228. J 10 6
Q J 10 9 7 5
3
10 8 5
K 8 7
8 6
K J 10 9 6 5 4
J Table A Q 9 5 4 3 2
K 4
7
9 6 4
6 → 13
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

9751. K 9 4
Q 8 7 5
9 7 6 4 3
9
A 7 6
K J 10 6 4
10
J 10 8 5 Table Q J 10 8 5 3 2
9
K J 5
6 4
6 → 10
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

Simulation 8Z01 Main Top A Bid from Outer Space

9981. J 10
K Q 6 5
K J 6 4
10 9 8
Q 9 6 5
J 10 9 7
7 5 3
J 6 Table A K 8 7 4 3 2
8 4
10 9
5 4
6 → 13
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

9982. A 10 7 6 3
K Q 7 6 4
9 7
9
5
J 10 5
K J 10 6 5 4
8 5 4 Table K Q J 9 8 4 2
9 8
3
J 10 6
6 → 13
6 → 10 —
A 3 2
A Q 8 2
A K Q 7 3 2

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

9984. A Q 10
K 10 6 5 4
9
J 6 5 4
9 3 2
Q J 9 8
K J 7 3
10 8 Table K J 8 7 6 5 4
7
10 6 5 4
9
6 → 13
6 → 7 —
A 3 2
A Q 8 2
A K Q 7 3 2

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

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

9987. J 7 5 3
K 10 9 6
10 9 6
6 4
Q 4
J 8 7 5 4
K J 3
J 10 5 Table A K 10 9 8 6 2
Q
7 5 4
9 8
6 → 12
6 → 10 —
A 3 2
A Q 8 2
A K Q 7 3 2

9988. 4 2
K Q J 10 6 5
10
J 10 8 4
A J 10 7
9 8 4
K J 7 5
6 5 Table K Q 9 8 6 5 3
7
9 6 4 3
9
6 → 13
6 → 5 —
A 3 2
A Q 8 2
A K Q 7 3 2

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

9990. J 6 3
K Q J 4
10 7 6
10 8 5
Q 9 2
9 8 7 6 5
K J 4 3
9 Table A K 10 8 7 5 4
10
9 5
J 6 4
6 → 12
6 → 9 —
A 3 2
A Q 8 2
A K Q 7 3 2

Simulation 8Z01 Main Top A Bid from Outer Space

9991. A Q 8
K J 9 4
K J 7 6 3
5
7 6 5 2
Q 10 7 6 5
—
10 8 6 4 Table K J 10 9 4 3
8
10 9 5 4
J 9
6 → 12
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

9992. A 7 4
7
K 10 9 7 6 5 3
J 8
J 6 3 2
K Q 10 9 6 4
J 4
6 Table K Q 10 9 8 5
J 8 5
—
10 9 5 4
6 → 12
6 → 13 —
A 3 2
A Q 8 2
A K Q 7 3 2

9993. K 7 3
9 8 4
K 7 6 3
J 8 6
A 6
K Q J 10
10 9 5 4
10 5 4 Table Q J 10 9 8 5 4 2
7 6 5
J
9
6 → 12
6 → 11 —
A 3 2
A Q 8 2
A K Q 7 3 2

9994. K 3
K Q J 10 7
K 9 6
9 5 4
A 5 2
9 8 6 4
10 5 4 3
J 8 Table Q J 10 9 8 7 6 4
5
J 7
10 6
6 → 13
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

9995. J 8 5 2
K Q 8 7
J 9 6 3
9
K 9
9 5 4
K 7 5
J 10 8 6 5 Table A Q 10 7 6 4 3
J 10 6
10 4
4
6 → 11
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

9996. A 6 3
9 8 6
K 9 3
J 10 6 5
Q 7 4
K 10 7 5
J 10 6 5 4
8 Table K J 10 9 8 5 2
Q J 4
7
9 4
6 → 12
6 → 9 —
A 3 2
A Q 8 2
A K Q 7 3 2

9997. Q 8 5 4
10 9
K J 10 4
9 8 5
9 6
K Q J 8 5 4
9 7 3
10 4 Table A K J 10 7 3 2
7 6
6 5
J 6
6 → 12
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

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

9999. K 8 7
K 7 6
K J 7
J 10 9 4
A 4 3
J 10 9 5 4
6 3
8 6 5 Table Q J 10 9 6 5 2
Q 8
10 9 5 4
—
6 → 13
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

10000. J 2
K J 9 4
K 9 3
J 8 5 4
K 8 6 3
Q 10 8
6 5 4
10 9 6 Table A Q 10 9 7 5 4
7 6 5
J 10 7
—
6 → 13
6 → 12 —
A 3 2
A Q 8 2
A K Q 7 3 2

Simulation 8Z01 Main Top A Bid from Outer Space

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

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

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

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

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

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

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

8.	A Q K Q J 9 7 5 J 9 8 6 5
K 6 3 2 10 8 7 6 J 10 3 10 4		J 10 9 8 7 5 4 9 5 4 K 6 4 —
6 → 12 6 → 11	— A 3 2 A Q 8 2 A K Q 7 3 2

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

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

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

12.	8 6 2 J 9 5 10 9 7 5 J 9 5
A Q 5 K Q 10 8 6 K 6 3 10 6		K J 10 9 7 4 3 7 4 J 4 8 4
6 → 11 6 → 11	— A 3 2 A Q 8 2 A K Q 7 3 2

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

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

15.	Q 8 4 K 7 6 5 J 7 6 5 10 4
K 6 3 J 9 8 4 K 10 4 J 9 6		A J 10 9 7 5 2 Q 10 9 3 8 5
6 → 11 6 → 12	— A 3 2 A Q 8 2 A K Q 7 3 2

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

17.	9 3 Q 10 7 5 10 9 7 4 3 J 4
Q J 10 6 K 9 8 4 K 6 10 9 5		A K 8 7 5 4 2 J 6 J 5 8 6
6 → 11 6 → 12	— A 3 2 A Q 8 2 A K Q 7 3 2

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

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

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

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

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

301.	7 5 4 2 Q 8 7 5 J 9 7 5 3 —
K 9 3 K J 10 9 4 K 4 J 10 6		A Q J 10 8 6 6 10 6 9 8 5 4
6 → 10 6 → 12	— A 3 2 A Q 8 2 A K Q 7 3 2

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

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

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

1271.	K 8 2 J 8 7 6 4 7 J 6 5 4
10 6 4 K Q K J 10 9 6 5 4 10		A Q J 9 7 5 3 10 9 5 3 9 8
6 → 12 6 → 5	— A 3 2 A Q 8 2 A K Q 7 3 2

1624.	8 6 K Q J 8 5 5 J 10 9 6 4
A K 10 5 10 7 6 K 9 7 3 8 5		Q J 9 7 4 3 2 9 4 J 10 6 4 —
6 → 13 6 → 5	— A 3 2 A Q 8 2 A K Q 7 3 2

1917.	K Q J 6 2 8 J 10 9 6 5 4 3 —
5 K Q 10 9 4 7 J 10 8 6 5 4		A 10 9 8 7 4 3 J 7 6 5 K 9
6 → 8 6 → 13	— A 3 2 A Q 8 2 A K Q 7 3 2

1961.	K J 6 5 3 2 K Q 8 K 10 6 5 —
10 7 6 5 9 4 3 J 10 9 8 6 5		A Q 9 8 7 4 J 10 9 4 J 7 4
6 → 10 6 → 12	— A 3 2 A Q 8 2 A K Q 7 3 2