Simulation 8Z04 Main

Which Four-Card Major?

by Richard Pavlicek

Suppose your opponents reach 3 NT without showing any suits, and you are on lead with ace-fourth in one major and queen-fourth in the other. Which lead is better? This is extremely difficult if not impossible to answer because there are many factors involved: tempo, safety, entries, play analysis, etc. The only realistic way to find an answer is empirically from a representative case, as the West hand below.

Which card would you lead?

	Any vul		West	North	East	South
A 5 4 3						1 NT
Q 5 4 3			Pass	3 NT	Pass	Pass
J 3			Pass
K 5 2
	3 NT

Leads compared: 3, 3, J, 2. The minor-suit leads aren’t serious proposals, but it costs nothing to test them as well. Step right up, folks, and place your bets! My choice would be the 3 at any form of scoring, but I’ve always had doubts, especially with recent lead tests showing ace-fourth to be slightly safer.

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.

A split decision! The better lead depends on the form of scoring. The 3 fares better at total points or IMPs, while the 3 has the edge at matchpoints or board-a-match. Evidently the slightly safer 3 stops enough overtricks to build a Won-Lost advantage despite not defeating the contract as often. Maybe that’s why I’ve never liked matchpoints.

And if you chose to lead the J, you’re not the worst leader in history. Hats off to the 2!

Results for 10,000 Deals

Lead	Trick Average	Set Percent	Hold Percent
3	2.9949	10.39	24.17
3	2.9865	11.40	21.71
J	2.8064	7.93	17.30
2	2.7687	7.07	16.83

Comparison	Net W-L	NV Net Score	NV Net IMPs	Vul Net Score	Vul Net IMPs
3 vs. 3	-201	+41,060	+814	+69,210	+1042
3 vs. J	+1029	+200,970	+4681	+290,720	+5368
3 vs. 2	+1642	+248,100	+5902	+358,600	+6783
3 vs. J	+1194	+159,910	+3843	+221,510	+4310
3 vs. 2	+1832	+207,040	+5077	+289,390	+5740
J vs. 2	+630	+47,130	+1224	+67,880	+1399

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

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

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

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

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

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

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

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

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

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

Simulation 8Z04 Main

Top Which Four-Card Major?

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

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

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

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

15.	10 7 2 K 10 9 7 4 A Q 10 7 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 6 J 8 2 K 10 9 8 5 9 8 4
3 → 1 3 → 1 J → 1 2 → 1	K Q J 8 A 7 6 A Q 6 2 J 6

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

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

18.	9 8 A 7 K 8 7 2 A 10 9 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		J 7 2 J 9 8 10 9 6 4 8 7 6
3 → 1 3 → 1 J → 1 2 → 1	K Q 10 6 K 10 6 2 A Q 5 Q J

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

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

Simulation 8Z04 Main

Top Which Four-Card Major?

247.	9 K 9 8 10 5 2 A Q J 10 9 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		K J 10 7 6 J 10 7 6 7 6 4 6
3 → 5 3 → 0 J → 0 2 → 0	Q 8 2 A 2 A K Q 9 8 8 7 4

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

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

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

1626.	K 7 6 A Q 9 6 2 9 8 7 6 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 8 2 10 9 8 A 10 8 7 J 10 3
3 → 5 3 → 5 J → 6 2 → 4	Q J 10 K J 7 6 2 K 5 4 A Q

1781.	Q J 6 10 8 9 7 6 2 A Q 9 8
A 5 4 3 Q 5 4 3 J 3 K 5 2		2 9 7 6 2 A Q 10 8 4 10 4 3
3 → 3 3 → 3 J → 5 2 → 2	K 10 9 8 7 A K J K 5 J 7 6

1830.	K 10 8 6 K Q 7 5 J 9 8 6 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		Q J 9 8 6 J 9 7 2 10 8 2 Q
3 → 5 3 → 2 J → 2 2 → 2	7 2 A K 10 A 9 6 4 A 10 7 3

1861.	J 7 6 A J Q 8 7 5 2 J 10 8
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 K 8 6 2 K 9 6 9 7 6 4 3
3 → 4 3 → 5 J → 2 2 → 4	K Q 9 8 2 10 9 7 A 10 4 A Q

1935.	9 2 K 8 K 10 7 4 2 Q 10 9 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		Q J 8 7 6 6 2 9 6 5 A 7 6
3 → 4 3 → 5 J → 5 2 → 7	K 10 A J 10 9 7 A Q 8 J 8 3

2036.	J 9 8 J 9 8 A Q 10 9 7 2 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 7 2 7 2 5 4 A Q 9 8 7 6
3 → 4 3 → 4 J → 5 2 → 7	K Q 6 A K 10 6 K 8 6 J 10 3

Simulation 8Z04 Main

Top Which Four-Card Major?

2041.	9 2 A 6 Q 10 9 8 6 A 10 9 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		K J 10 8 6 10 8 7 2 7 4 2 J
3 → 5 3 → 0 J → 0 2 → 0	Q 7 K J 9 A K 5 Q 8 7 6 3

2059.	Q J 8 2 A 10 8 2 Q J 7 6 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 8 7 6 2 7 6 K Q 9 6 8 3
3 → 5 3 → 4 J → 6 2 → 5	K 9 A K J 10 9 7 5 4 A 10 9

2108.	J 9 8 2 K 10 9 7 5 4 A J 8
A 5 4 3 Q 5 4 3 J 3 K 5 2		K 10 8 6 2 10 6 Q 8 10 9 6 4
3 → 5 3 → 1 J → 2 2 → 2	Q 7 A K J 9 7 A 6 2 Q 7 3

2120.	K Q 7 10 K 8 7 6 4 10 9 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 9 8 K 9 8 7 6 2 Q 9 5 7
3 → 5 3 → 7 J → 3 2 → 6	J 6 2 A J A 10 2 A Q J 8 6

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

2696.	K 10 9 10 6 10 9 4 A J 8 6 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		Q 8 7 J 9 7 A 7 5 2 10 9 4
3 → 5 3 → 4 J → 4 2 → 2	J 6 2 A K 8 2 K Q 8 6 Q 7

3085.	K 9 2 10 A K 6 5 4 2 9 8 7
A 5 4 3 Q 5 4 3 J 3 K 5 2		8 7 6 K J 9 7 6 10 9 J 6 4
3 → 2 3 → 5 J → 3 2 → 2	Q J 10 A 8 2 Q 8 7 A Q 10 3

3154.	Q 8 7 K J 6 A 10 8 7 4 10 8
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 10 9 8 9 6 5 A J 9 7 6 3
3 → 4 3 → 5 J → 5 2 → 7	K J 9 6 2 A 7 2 K Q 2 Q 4

3394.	K J 7 2 A 8 7 5 4 8 6 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 8 2 A 8 7 Q 10 9 2 10 9 7
3 → 5 3 → 5 J → 6 2 → 4	Q 10 6 K J 10 9 6 K 6 A Q J

3456.	10 8 J 9 2 Q 9 7 6 5 A Q 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		J 9 7 6 2 10 8 7 K 8 8 6 3
3 → 5 3 → 2 J → 1 2 → 2	K Q A K 6 A 10 4 2 J 10 9 7

Simulation 8Z04 Main

Top Which Four-Card Major?

3775.	Q J 7 K 8 K 9 7 6 5 2 Q 9
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 2 10 6 2 10 8 A 10 8 7 6 3
3 → 3 3 → 4 J → 4 2 → 7	K 9 8 6 A J 9 7 A Q 4 J 4

3859.	K 2 A 8 7 Q 9 8 5 4 2 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 8 10 9 2 A 6 J 10 9 8 7 6
3 → 2 3 → 2 J → 5 2 → 4	Q J 9 7 6 K J 6 K 10 7 A Q

4752.	Q 10 7 9 6 Q 6 4 A J 10 8 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 8 6 2 J 8 K 10 9 7 5 Q 7
3 → 4 3 → 4 J → 6 2 → 4	K J A K 10 7 2 A 8 2 9 6 4

5306.	7 A 10 6 K 8 7 5 4 2 J 8 7
A 5 4 3 Q 5 4 3 J 3 K 5 2		K Q 10 9 8 6 9 9 6 Q 10 9 4
3 → 6 3 → 1 J → 1 2 → 1	J 2 K J 8 7 2 A Q 10 A 6 3

5388.	K Q 6 A 6 5 4 J 10 9 6 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		8 7 2 J 9 8 7 6 Q 9 8 2 7
3 → 2 3 → 5 J → 2 2 → 2	J 10 9 K 10 2 A K 10 7 A Q 8

5500.	9 A 6 2 Q 8 5 4 2 Q 8 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		Q J 10 8 7 9 8 7 K 6 J 7 6
3 → 5 3 → 4 J → 2 2 → 3	K 6 2 K J 10 A 10 9 7 A 10 9

5545.	K 10 8 9 2 K Q 9 5 4 J 10 7
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 6 A J 10 8 7 8 6 9 8 6 3
3 → 3 3 → 5 J → 3 2 → 2	Q J 7 2 K 6 A 10 7 2 A Q 4

5655.	Q 2 A 2 8 7 4 Q J 9 8 6 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		J 9 8 6 J 7 A 10 9 6 5 2 10
3 → 4 3 → 5 J → 7 2 → 5	K 10 7 K 10 9 8 6 K Q A 7 3

5712.	J 10 7 A 6 K 8 7 6 4 2 10 6
A 5 4 3 Q 5 4 3 J 3 K 5 2		6 2 J 10 8 9 5 A Q 8 7 4 3
3 → 4 3 → 5 J → 5 2 → 7	K Q 9 8 K 9 7 2 A Q 10 J 9

5780.	7 2 J 9 A 8 7 5 2 A 7 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 9 8 6 K 8 7 6 2 K 9 4 8
3 → 2 3 → 5 J → 3 2 → 3	K Q J A 10 Q 10 6 Q J 10 9 6

Simulation 8Z04 Main

Top Which Four-Card Major?

5797.	J 9 6 A J K 10 9 8 5 2 7 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 7 2 9 2 6 4 A J 10 8 6 4
3 → 3 3 → 4 J → 4 2 → 7	K Q 8 K 10 8 7 6 A Q 7 Q 9

5931.	10 9 A 10 9 Q 10 6 4 Q J 6 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		Q J 8 6 2 8 7 2 K 2 10 8 7
3 → 5 3 → 4 J → 2 2 → 3	K 7 K J 6 A 9 8 7 5 A 9 4

5983.	J 10 6 K J A 10 6 5 4 2 Q 10
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 2 8 7 2 9 8 A 8 7 6 4 3
3 → 3 3 → 4 J → 4 2 → 7	K Q 8 7 A 10 9 6 K Q 7 J 9

5994.	Q J 8 10 8 6 Q 10 6 4 2 A 7
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 6 2 9 7 A 9 5 Q 10 9 6 3
3 → 4 3 → 4 J → 6 2 → 5	K 9 7 A K J 2 K 8 7 J 8 4

6043.	K 7 6 9 7 Q 10 7 6 4 A J 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		Q 9 8 K 10 8 6 2 9 5 10 9 6
3 → 4 3 → 5 J → 3 2 → 2	J 10 2 A J A K 8 2 Q 8 7 3

6362.	Q J 8 A J 8 K 6 9 8 7 6 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 9 10 9 7 A 10 9 8 5 4 2 10
3 → 4 3 → 5 J → 7 2 → 4	K 7 6 2 K 6 2 Q 7 A Q J 3

6488.	8 6 A 8 6 K Q 10 9 6 4 10 8
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 7 J 10 9 A 7 J 9 7 6 4 3
3 → 2 3 → 4 J → 5 2 → 4	K Q J 9 2 K 7 2 8 5 2 A Q

6669.	J 10 2 A 10 6 4 Q J 9 8 7 6
A 5 4 3 Q 5 4 3 J 3 K 5 2		7 10 9 7 6 2 A K 8 7 5 4 3
3 → 5 3 → 6 J → 5 2 → 4	K Q 9 8 6 K J 8 Q 9 2 A 10

6732.	J 10 6 A 8 7 K Q 9 8 2 9 6
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 2 10 2 6 5 4 A 10 8 7 4 3
3 → 4 3 → 4 J → 5 2 → 7	K Q 8 7 K J 9 6 A 10 7 Q J

6795.	J 6 K J 8 Q 9 7 6 A J 8 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		K 9 8 7 2 10 7 6 10 4 2 7 6
3 → 5 3 → 2 J → 2 2 → 2	Q 10 A 9 2 A K 8 5 Q 10 9 4

Simulation 8Z04 Main

Top Which Four-Card Major?

6834.	J J 10 8 10 5 2 A Q J 10 7 6
A 5 4 3 Q 5 4 3 J 3 K 5 2		Q 10 9 7 2 9 7 6 A 9 6 4 3
3 → 4 3 → 4 J → 6 2 → 4	K 8 6 A K 2 K Q 8 7 9 8 4

6861.	Q 6 J 10 6 K 10 7 5 2 A 10 6
A 5 4 3 Q 5 4 3 J 3 K 5 2		K J 10 7 2 9 8 2 9 6 9 7 3
3 → 5 3 → 1 J → 2 2 → 2	9 8 A K 7 A Q 8 4 Q J 8 4

6932.	K 10 7 8 6 Q 9 5 A 9 8 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 8 6 9 7 2 K 10 8 7 4 Q 7
3 → 4 3 → 3 J → 6 2 → 4	Q J 2 A K J 10 A 6 2 J 10 6

7133.	J 9 7 6 A 10 9 2 Q J 9 8 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		K 10 8 6 A 10 9 8 2 8 6 5 3
3 → 6 3 → 7 J → 4 2 → 4	Q 2 K J 7 K Q 7 4 A 10 7 6

7262.	Q 9 8 A 8 10 2 Q J 10 9 8 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		J 10 7 6 K 10 9 2 9 7 6 5 7
3 → 3 3 → 5 J → 2 2 → 4	K 2 J 7 6 A K Q 8 4 A 6 3

7270.	6 2 10 8 2 A K 9 4 Q 10 8 6
A 5 4 3 Q 5 4 3 J 3 K 5 2		Q J 9 J 9 7 6 Q 10 5 9 7 3
3 → 4 3 → 6 J → 5 2 → 5	K 10 8 7 A K 8 7 6 2 A J 4

7671.	7 8 6 2 K Q 10 9 4 A J 7 4
A 5 4 3 Q 5 4 3 J 3 K 5 2		J 10 9 8 6 10 9 7 A 7 6 2 8
3 → 5 3 → 2 J → 2 2 → 2	K Q 2 A K J 8 5 Q 10 9 6 3

7775.	9 6 2 2 A K 10 9 5 Q 6 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		J 8 A J 10 9 7 6 8 4 2 8 7
3 → 3 3 → 6 J → 3 2 → 2	K Q 10 7 K 8 Q 7 6 A J 10 9

7980.	K 9 J 6 2 A 10 8 7 5 2 J 9
A 5 4 3 Q 5 4 3 J 3 K 5 2		J 10 6 10 8 K 9 Q 10 8 7 6 4
3 → 3 3 → 3 J → 5 2 → 7	Q 8 7 2 A K 9 7 Q 6 4 A 3

8067.	Q 9 2 K J 6 A 9 7 6 5 2 J
A 5 4 3 Q 5 4 3 J 3 K 5 2		6 10 8 7 8 4 A 10 9 8 7 6 4
3 → 3 3 → 4 J → 4 2 → 8	K J 10 8 7 A 9 2 K Q 10 Q 3

Simulation 8Z04 Main

Top Which Four-Card Major?

8099.	Q 2 A 8 2 A 10 9 7 4 2 J 9
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 7 6 10 9 6 5 A 10 8 7 4 3
3 → 4 3 → 4 J → 5 2 → 7	K J 10 8 K J 7 K Q 8 6 Q 6

8250.	K 10 8 A Q 10 9 7 J 10 9 8 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		J 9 7 6 K J 10 9 8 5 4 2 6
3 → 3 3 → 6 J → 4 2 → 4	Q 2 7 6 2 A K 8 6 A Q 7 4

8353.	K 8 6 A 8 6 10 5 Q 10 9 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		J 2 10 9 A 9 8 7 6 4 2 7 6
3 → 4 3 → 5 J → 7 2 → 4	Q 10 9 7 K J 7 2 K Q A J 8

8462.	J 7 K J 7 A 10 8 7 5 4 10 7
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 8 6 10 6 2 9 A Q 9 6 4 3
3 → 3 3 → 4 J → 4 2 → 7	K Q 10 2 A 9 8 K Q 6 2 J 8

8750.	Q J 2 9 7 6 A Q 6 5 4 2 9
A 5 4 3 Q 5 4 3 J 3 K 5 2		10 9 6 10 8 K 8 Q J 10 8 6 4
3 → 3 3 → 4 J → 4 2 → 7	K 8 7 A K J 2 10 9 7 A 7 3

8949.	9 8 7 A 10 6 A 8 5 J 10 8 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		K 10 J 9 7 Q 10 7 6 4 2 6 4
3 → 4 3 → 5 J → 6 2 → 4	Q J 6 2 K 8 2 K 9 A Q 9 7

9428.	K 9 A J 8 Q 10 8 5 4 9 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		8 2 9 6 2 A 9 6 J 10 8 7 6
3 → 2 3 → 2 J → 5 2 → 4	Q J 10 7 6 K 10 7 K 7 2 A Q

9448.	9 K 8 7 Q 8 6 A 10 8 7 4 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		K Q 10 6 2 J 10 6 2 9 4 2 6
3 → 5 3 → 0 J → 0 2 → 0	J 8 7 A 9 A K 10 7 5 Q J 9

9711.	10 7 9 8 A K Q 10 7 5 2 8 6
A 5 4 3 Q 5 4 3 J 3 K 5 2		J 9 8 7 6 2 6 A J 10 7 4 3
3 → 3 3 → 3 J → 4 2 → 7	K Q 6 2 A K J 10 9 8 4 Q 9

9965.	10 7 K 7 2 K Q 10 9 6 2 Q 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		K Q 9 8 2 10 9 7 4 10 8 7 4
3 → 5 3 → 3 J → 3 2 → 1	J 6 A J 8 6 A 8 5 A J 9 6

Simulation 8Z04 Main

Top Which Four-Card Major?

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

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

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

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

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

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

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

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

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

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

Simulation 8Z04 Main

Top Which Four-Card Major?

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

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

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

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

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

9996.	10 2 J 10 2 K 10 5 A J 10 9 8
A 5 4 3 Q 5 4 3 J 3 K 5 2		K J 9 8 6 9 8 6 9 8 4 7 3
3 → 5 3 → 0 J → 1 2 → 1	Q 7 A K 7 A Q 7 6 2 Q 6 4

9997.	J 10 8 10 7 6 A Q A J 9 8 3
A 5 4 3 Q 5 4 3 J 3 K 5 2		9 2 K 2 10 9 7 5 4 2 10 6 4
3 → 2 3 → 2 J → 2 2 → 1	K Q 7 6 A J 9 8 K 8 6 Q 7

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

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

10000.	10 9 8 10 K Q 10 9 6 A Q 10 8
A 5 4 3 Q 5 4 3 J 3 K 5 2		Q 2 J 9 8 7 2 8 5 J 7 6 4
3 → 1 3 → 1 J → 1 2 → 1	K J 7 6 A K 6 A 7 4 2 9 3

Simulation 8Z04 Main

Top Which Four-Card Major?

© 2015 Richard Pavlicek