Simulation 8Z05 Main

Which Five-Card Major?

by Richard Pavlicek

Suppose your RHO opens 1 NT, and you hold the following hand. Nonvulnerable you might risk a takeout bid for the majors, but assume you are vulnerable and prudently pass. LHO raises to 3 NT, and there you are, not only with a choice of major suits to lead but a choice of cards as well.

Which card would you lead?

Any vul West North East South
A J 10 3 2 Table 1 NT
J 10 8 3 2 Pass 3 NT Pass Pass
3 2 Pass
2
3 NT

Leads compared: J, 3, J, 3. My gut reaction is that a spade is more likely to set the contract, while a heart may be superior at matchpoints to curb overtricks. In either suit, whether to lead the jack or fourth-best seems a close call. Rather than continue guessing, let’s throw it to the computer!

For a simulation I created 10,000 random deals with the West hand fixed and the other hands constrained to fit the auction. South: 15-17 HCP; balanced (5-card major allowed if doubleton is J-x or better). North: 8-14 HCP; 10-14 revalued points; no 5+ major; no 7+ minor unless 7-2-2-2; no 4-card major unless 4-3-3-3. East: no 8+ card suit; no 7-card suit unless less than 6.5 playing tricks; else less than 7.5 playing tricks or freakness less than 6 (i.e., to bid without a 7-card suit East would need 7.5+ playing tricks and extreme shape).

Results are shown below. Trick Average shows the average number of tricks won by the defense. Set Percent shows how often the contract is defeated, and Hold Percent how often it is made without an overtrick. The second table compares each lead with every other lead, 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.

As predicted, a spade lead wins at total points or IMPs because it sets the contract more often, while a heart gains at matchpoints or board-a-match because of its higher trick average.

What surprises me is the big advantage in leading the jack. This is contrary to my studies of single-suit layouts (see Leading from Five) which show the three from A-J-10-3-2 or J-10-8-3-2 to be superior. Nonetheless, single suits are like trees in a forest. A full deal harbors other factors, one of which here is that length in both majors reduces the chance of an opponent having four cards.

Results for 10,000 Deals
Lead Trick Average Set Percent Hold Percent
J 3.6228 33.35 19.17
3 3.4763 30.73 16.49
J 3.6631 28.53 23.78
3 3.5845 26.87 23.51

Results for 10,000 Deals
Lead	Trick Average	Set Percent	Hold Percent
J	3.6228	33.35	19.17
3	3.4763	30.73	16.49
J	3.6631	28.53	23.78
3	3.5845	26.87	23.51

Comparison Net W-L NV Net Score NV Net IMPs Vul Net Score Vul Net IMPs
J vs. 3 +971 +155,210 +3588 +223,760 +4124
J vs. J -1246 +175,430 +2863 +258,630 +3400
J vs. 3 -765 +271,930 +5073 +404,630 +6053
J vs. 3 +2253 -20,220 +746 -34,870 +725
J vs. 3 +651 +96,500 +2341 +146,000 +2792
3 vs. 3 -1776 +116,720 +1463 +180,870 +1924

Comparison	Net W-L	NV Net Score	NV Net IMPs	Vul Net Score	Vul Net IMPs
J vs. 3	+971	+155,210	+3588	+223,760	+4124
J vs. J	-1246	+175,430	+2863	+258,630	+3400
J vs. 3	-765	+271,930	+5073	+404,630	+6053
J vs. 3	+2253	-20,220	+746	-34,870	+725
J vs. 3	+651	+96,500	+2341	+146,000	+2792
3 vs. 3	-1776	+116,720	+1463	+180,870	+1924

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 (15 for each lead). Numbers after each lead show the tricks won by the defense with double-dummy play by both sides.

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

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

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

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

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

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

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

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

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

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

Simulation 8Z05 Main Top Which Five-Card Major?

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

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

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

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

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

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

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

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

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

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

Simulation 8Z05 Main Top Which Five-Card Major?

235. 6
Q 5 4
A J 9 8 7 6
K 10 7
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 9 5
K 9
Q 5 4
Q 9 8 5 3
J → 5
3 → 5
J → 2
3 → 6 K 8 7 4
A 7 6
K 10
A J 6 4

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

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

1007. 8 4
5 4
A 10 7 5
A Q 8 7 6
A J 10 3 2
J 10 8 3 2
3 2
2 Table 7 6 5
K Q
J 9 8 6
K 9 5 3
J → 5
3 → 3
J → 4
3 → 6 K Q 9
A 9 7 6
K Q 4
J 10 4

1008. 9
K 9 6
8 7 5 4
A K 9 5 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 6 5 4
5 4
K 10 6
J 8 7 6
J → 4
3 → 5
J → 3
3 → 1 Q 8 7
A Q 7
A Q J 9
Q 10 3

1041. 9
7 6 4
K 10 8 5
K Q J 10 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 6 4
K 9 5
Q 9 7
9 7 4
J → 4
3 → 5
J → 2
3 → 2 Q 7 5
A Q
A J 6 4
A 8 6 5

1411. Q 6 4
Q 9 4
Q 6 4
K Q 10 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 5
A K 5
J 9 8 7
9 7 5 3
J → 4
3 → 4
J → 6
3 → 4 K 9 7
7 6
A K 10 5
A J 8 6

1589. Q 7 6
6 5
K J 7
K J 9 6 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 4
7 4
A Q 9 4
10 7 4 3
J → 7
3 → 4
J → 5
3 → 4 9 5
A K Q 9
10 8 6 5
A Q 8

1591. 8 6 5
K 9
J 9 8
A J 7 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 7 4
A 4
Q 10 7 6 4
Q 10 6 5
J → 5
3 → 4
J → 6
3 → 4 K Q 9
Q 7 6 5
A K 5
K 9 8

2063. 8
K Q 5
K 9 8 6
10 8 6 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 7 6 5
7
A Q J 7 5
J 9 5
J → 7
3 → 8
J → 5
3 → 4 Q 9 4
A 9 6 4
10 4
A K Q 7

Simulation 8Z05 Main Top Which Five-Card Major?

2165. 7
K 6 5
A 9 7 5
K 9 8 7 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 6 4
9 7 4
Q 10 8 4
Q 10
J → 4
3 → 5
J → 2
3 → 2 Q 9 5
A Q
K J 6
A J 6 4 3

2185. 5
A 9 5
A J 8 6 5
10 7 6 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 9 7 6
Q 7 4
Q 9 4
K 8 5
J → 4
3 → 5
J → 1
3 → 1 Q 8 4
K 6
K 10 7
A Q J 9 3

2411. Q 7 6
K
A 10 6 5
K 10 9 8 7
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 5
A 6 5
J 9 7 4
Q 6 5 3
J → 2
3 → 2
J → 3
3 → 5 K 8 4
Q 9 7 4
K Q 8
A J 4

2433. Q 7 6 5
K 7 6
K Q 4
Q 9 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8
A Q 9
J 9 7 6
10 8 6 5 3
J → 4
3 → 4
J → 6
3 → 4 K 9 4
5 4
A 10 8 5
A K J 7

2525. 7
Q 7 6
Q J 10
K J 9 8 7 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 6 5
A K 4
K 7 6 5 4
10 3
J → 3
3 → 3
J → 6
3 → 4 K Q 9 4
9 5
A 9 8
A Q 6 5

2787. Q 7
K 4
10 9 8 6
A 6 5 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 5 4
Q 9 6 5
A Q 5 4
10 8
J → 5
3 → 2
J → 4
3 → 4 K 9 6
A 7
K J 7
K Q J 9 7

2893. K 5
9 7 5
J 10 6
K Q 10 8 7
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 7 6 4
—
A K Q 8 4
J 5 4 3
J → 4
3 → 4
J → 6
3 → 4 Q 9
A K Q 6 4
9 7 5
A 9 6

2940. K 7 6
Q 5
K J 10 8 4
K 8 7
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 5
A 7 4
Q 9 7 5
J 6 5 4
J → 2
3 → 2
J → 5
3 → 2 Q 9 4
K 9 6
A 6
A Q 10 9 3

3042. 9 8
Q 7
K Q 10 6 4
K 8 7 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 4
K 6 5 4
9 8 5
A 10 9 4
J → 3
3 → 5
J → 7
3 → 4 K 7 6 5
A 9
A J 7
Q J 6 5

3131. Q 7 5
Q
Q 6 5
K J 10 9 8 7
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 4
K 6 5
A 10 9 8 4
6 5 3
J → 3
3 → 3
J → 4
3 → 6 K 9 6
A 9 7 4
K J 7
A Q 4

Simulation 8Z05 Main Top Which Five-Card Major?

3443. Q 5
K Q 6
K Q J 7
J 10 9 7
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 6 4
7
A 10 9 4
8 6 5 4 3
J → 5
3 → 2
J → 2
3 → 2 K 9 7
A 9 5 4
8 6 5
A K Q

3525. 8 7 5
Q 9
A K J 10 9 5
10 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9
A 6 4
Q 8 6
Q 9 8 7 5 4
J → 2
3 → 2
J → 5
3 → 3 K Q 6 4
K 7 5
7 4
A K J 6

3551. 9
Q 6 4
Q 9 6 5
A 10 7 6 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 6 4
K 7 5
J 8 4
K 9 8 3
J → 5
3 → 5
J → 7
3 → 4 K 8 7 5
A 9
A K 10 7
Q J 4

3916. Q 6 4
7
A Q 10 9 8 7
9 6 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 5
6 5 4
J 6
A K 10 8 7
J → 7
3 → 4
J → 4
3 → 3 9 7
A K Q 9
K 5 4
Q J 5 4

4058. Q 5 4
7 6
A K J 7 6 5
J 6
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 7 6
K 5 4
Q
10 9 8 7 4 3
J → 5
3 → 2
J → 1
3 → 1 9 8
A Q 9
10 9 8 4
A K Q 5

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

4160. 9
A 9 7
J 8 5
Q J 10 9 7 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 6 5
6 4
A K 10 6 4
8 6 5
J → 5
3 → 7
J → 4
3 → 4 Q 8 7 4
K Q 5
Q 9 7
A K 3

4552. 8 7 4
Q 6
Q J 6
K Q 7 6 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 6 5
A K
10 9 8 7
10 9 8 5
J → 3
3 → 3
J → 4
3 → 6 K Q
9 7 5 4
A K 5 4
A J 3

4956. 9 6
A K 6
K 10 8 5
10 9 8 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 7 4
Q 7
J 9 7 6 4
K Q 7
J → 5
3 → 2
J → 4
3 → 4 K Q 5
9 5 4
A Q
A J 6 5 4

5065. 8
Q 6 5
Q J 9 7 5 4
K 9 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 6 4
7 4
10 8
A Q 10 8 6 5
J → 5
3 → 7
J → 4
3 → 4 Q 9 7 5
A K 9
A K 6
J 7 4

Simulation 8Z05 Main Top Which Five-Card Major?

5372. 8 5
7 4
K Q 9 7 6
K 10 7 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 7
K 5
A J 4
J 9 8 6 5 3
J → 4
3 → 5
J → 5
3 → 6 K 9 6 4
A Q 9 6
10 8 5
A Q

5582. 9 4
Q 6 4
K J 5
A 10 7 5 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 6 5
7 5
A Q 8 6
K 9 8 3
J → 7
3 → 4
J → 5
3 → 5 K Q 7
A K 9
10 9 7 4
Q J 6

5698. Q 7
A 7
Q J 7
J 8 7 6 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 8 5
K Q
10 9 8 5 4
A 9 5
J → 5
3 → 5
J → 4
3 → 6 K 6 4
9 6 5 4
A K 6
K Q 10

5888. K
9 6 5
8 7 4
A Q J 9 6 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 6 5 4
K 4
Q J 10 6
K 10 8 5
J → 4
3 → 5
J → 5
3 → 6 Q 9 8 7
A Q 7
A K 9 5
7 4

6057. 7
9 6 5
A 10 9 7 6
K J 7 6
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 6 5 4
7
K 8 4
A Q 9 5 3
J → 6
3 → 7
J → 5
3 → 4 K Q 8
A K Q 4
Q J 5
10 8 4

6205. 4
A 6 4
A Q 10 9 5 4
10 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 9 7 6
Q 7
7
K J 8 7 6 5
J → 4
3 → 5
J → 2
3 → 2 Q 8 5
K 9 5
K J 8 6
A Q 9

6986. Q 8 4
Q
J 9 8 6 4
A Q 9 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 6 5
K 6 5
A 7
10 8 7 5 4
J → 3
3 → 3
J → 4
3 → 6 K 7
A 9 7 4
K Q 10 5
K J 6

6993. 9 7
Q 5 4
A K J 9
10 7 6 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table 6 5 4
K 9 7
Q 7
A 9 8 4 3
J → 5
3 → 2
J → 4
3 → 4 K Q 8
A 6
10 8 6 5 4
K Q J

7033. 9 7
9 7
A Q 10 9 7 5
K 10 8
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 6
Q 6
K J 8
Q J 9 7 6 3
J → 4
3 → 3
J → 5
3 → 6 K Q 5 4
A K 5 4
6 4
A 5 4

7051. K 7 6
Q 4
10 4
K J 7 6 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 8 4
K 6 5
A K 9 8 6 5
8
J → 4
3 → 4
J → 6
3 → 4 Q 5
A 9 7
Q J 7
A Q 10 9 5

Simulation 8Z05 Main Top Which Five-Card Major?

7057. 9 6 5
9
K Q 10 9 8
K 6 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 7
A 6 5
J 7 6
A Q 10 9 5
J → 5
3 → 4
J → 6
3 → 5 K Q 4
K Q 7 4
A 5 4
J 8 7

7120. Q
A K 5
Q J 9 8 5 4
J 10 6
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 7 6 5
9 4
A 7
9 8 7 5 4
J → 4
3 → 5
J → 2
3 → 2 K 8 4
Q 7 6
K 10 6
A K Q 3

7456. 4
K Q 7
Q 8 7 6
Q 10 9 8 6
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 9 7
6 4
A 10 9 5 4
K 7 5
J → 4
3 → 6
J → 5
3 → 5 Q 8 6 5
A 9 5
K J
A J 4 3

7700. K 7 6
Q
J 10 9 8 7 5
K J 10
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 5
K 6 4
Q 4
A 8 7 5 4 3
J → 3
3 → 3
J → 4
3 → 6 Q 8 4
A 9 7 5
A K 6
Q 9 6

7722. Q 6 5
9 5
A Q 7 5
J 10 8 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 7
7 6 4
6 4
A K 9 7 3
J → 7
3 → 4
J → 5
3 → 5 9 4
A K Q
K J 10 9 8
Q 6 4

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

7770. Q 5 4
6 5 4
6
A K 10 7 6 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 7
K 7
K J 9 8 5
9 8 3
J → 5
3 → 2
J → 3
3 → 3 9 6
A Q 9
A Q 10 7 4
Q J 5

7831. Q 8
A 7
10 8 7 5
K J 10 9 8
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 4
9 6 4
A J 6 4
7 6 5 3
J → 4
3 → 6
J → 5
3 → 5 9 7 6 5
K Q 5
K Q 9
A Q 4

7982. 7
K 7 4
J 7 6
A Q 9 7 6 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 6 5 4
A
A 10 9 5 4
J 10 3
J → 5
3 → 6
J → 4
3 → 4 K Q 8
Q 9 6 5
K Q 8
K 8 5

8669. 6 5 4
5
A J 8 7 6
K 9 5 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 7
A 7 6
10 9 5
A Q J 10 4
J → 7
3 → 4
J → 6
3 → 6 K Q 9
K Q 9 4
K Q 4
8 7 6

Simulation 8Z05 Main Top Which Five-Card Major?

9083. Q 9 6
Q 6
Q J 10 5
K 10 7 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 4
7 5 4
K 9 4
J 9 8 6
J → 5
3 → 2
J → 3
3 → 3 7 5
A K 9
A 8 7 6
A Q 4 3

9217. 6 4
A 7 4
J 9 8 6 4
A 10 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 5
Q
Q 10 7 5
Q J 9 6 5 3
J → 4
3 → 5
J → 5
3 → 6 K 9 8 7
K 9 6 5
A K
K 8 7

9377. Q 9 5
9 7 6
9 8
A K J 8 7
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 7
Q 4
Q J 7 4
10 9 6 3
J → 5
3 → 2
J → 3
3 → 3 6 4
A K 5
A K 10 6 5
Q 5 4

9431. 8 6
7 6
A K J 4
10 8 5 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 9
Q 5
Q 9 8 7 6
K Q 7 6
J → 4
3 → 5
J → 5
3 → 6 K 7 5 4
A K 9 4
10 5
A J 9

9492. 9 4
K 4
A 9 6 5 4
A 9 7 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 7 5
6 5
K 10 8
Q J 8 5 4
J → 5
3 → 2
J → 3
3 → 2 K Q 6
A Q 9 7
Q J 7
K 10 6

9498. Q
K Q 5
10 9 5
Q J 10 8 7 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 7 6 5
9
K J 8 7 6
A 6 5
J → 4
3 → 5
J → 2
3 → 2 K 9 4
A 7 6 4
A Q 4
K 9 4

9561. 9 7 6
K 6
9 7 6
A Q 10 8 7
A J 10 3 2
J 10 8 3 2
3 2
2 Table 5
A 7 5
J 8 5 4
K 9 6 5 3
J → 4
3 → 3
J → 6
3 → 4 K Q 8 4
Q 9 4
A K Q 10
J 4

9618. Q 4
K 7 6
J 9 8
A 8 7 6 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 8 6
A Q 9
Q 6 5 4
J 9 4
J → 3
3 → 3
J → 6
3 → 4 K 7 5
5 4
A K 10 7
K Q 10 5

9640. Q 8 6
9 5
7 6
K Q J 8 6 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table 5 4
K 6
K J 10 8 5 4
A 10 3
J → 2
3 → 2
J → 3
3 → 5 K 9 7
A Q 7 4
A Q 9
9 7 4

9720. K 5
K 9 7
10 8 4
K 10 7 6 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9 6 4
A Q 4
J 9 6
J 9 8 5
J → 4
3 → 4
J → 6
3 → 4 Q 8 7
6 5
A K Q 7 5
A Q 3

Simulation 8Z05 Main Top Which Five-Card Major?

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

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

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

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

9985. 8 5 4
6
A Q 10 8 5 4
A J 6
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 6
Q 9 7 5
J 9 7
Q 7 4 3
J → 5
3 → 5
J → 0
3 → 0 Q 9 7
A K 4
K 6
K 10 9 8 5

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

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

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

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

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

Simulation 8Z05 Main Top Which Five-Card Major?

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

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

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

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

9995. 8 7 5
K
A K 10 9 7
Q 7 5 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 4
9 7 6 4
J 8 5 4
K 9 3
J → 0
3 → 0
J → 1
3 → 1 K 9 6
A Q 5
Q 6
A J 10 8 6

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

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

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

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

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

Simulation 8Z05 Main Top Which Five-Card Major?

	Any vul	West	North	East	South
A J 10 3 2					1 NT
J 10 8 3 2		Pass	3 NT	Pass	Pass
3 2		Pass
2
	3 NT

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

235.	6 Q 5 4 A J 9 8 7 6 K 10 7
A J 10 3 2 J 10 8 3 2 3 2 2		Q 9 5 K 9 Q 5 4 Q 9 8 5 3
J → 5 3 → 5 J → 2 3 → 6	K 8 7 4 A 7 6 K 10 A J 6 4

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

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

1007.	8 4 5 4 A 10 7 5 A Q 8 7 6
A J 10 3 2 J 10 8 3 2 3 2 2		7 6 5 K Q J 9 8 6 K 9 5 3
J → 5 3 → 3 J → 4 3 → 6	K Q 9 A 9 7 6 K Q 4 J 10 4

1008.	9 K 9 6 8 7 5 4 A K 9 5 4
A J 10 3 2 J 10 8 3 2 3 2 2		K 6 5 4 5 4 K 10 6 J 8 7 6
J → 4 3 → 5 J → 3 3 → 1	Q 8 7 A Q 7 A Q J 9 Q 10 3

1041.	9 7 6 4 K 10 8 5 K Q J 10 3
A J 10 3 2 J 10 8 3 2 3 2 2		K 8 6 4 K 9 5 Q 9 7 9 7 4
J → 4 3 → 5 J → 2 3 → 2	Q 7 5 A Q A J 6 4 A 8 6 5

1411.	Q 6 4 Q 9 4 Q 6 4 K Q 10 4
A J 10 3 2 J 10 8 3 2 3 2 2		8 5 A K 5 J 9 8 7 9 7 5 3
J → 4 3 → 4 J → 6 3 → 4	K 9 7 7 6 A K 10 5 A J 8 6

1589.	Q 7 6 6 5 K J 7 K J 9 6 5
A J 10 3 2 J 10 8 3 2 3 2 2		K 8 4 7 4 A Q 9 4 10 7 4 3
J → 7 3 → 4 J → 5 3 → 4	9 5 A K Q 9 10 8 6 5 A Q 8

1591.	8 6 5 K 9 J 9 8 A J 7 4 3
A J 10 3 2 J 10 8 3 2 3 2 2		7 4 A 4 Q 10 7 6 4 Q 10 6 5
J → 5 3 → 4 J → 6 3 → 4	K Q 9 Q 7 6 5 A K 5 K 9 8