Simulation 8Z05 Main

Which Five-Card Major?

by Richard Pavlicek

Suppose South opens 1 NT, and you hold the West hand. At favorable vulnerability you might enter the fray with a takeout bid for the majors, but let’s assume otherwise and a prudent pass, then North raises to 3 NT. Which major suit, or specifically, which jack should you lead? In theory this is very difficult to answer, because many factors are involved, so a simulation seems to be the only practical solution.

A J 10 3 2
J 10 8 3 2
3 2
2 Table

West

Pass North

3 NT East

All Pass South
1 NT

Should West lead the J or the J?

My gut reaction is that the J will be better at matchpoints (more likely to prevent overtricks) while the J will be better at IMPs (more likely to set the contract). Let’s find out.

To determine the better lead I created 10,000 random deals with the West hand fixed, and North-South constrained to fit the bidding: South HCP 15-17; freakness less than 3 (balanced); with a 5-card major, doubleton must be J-x or better; North HCP 9-14 (max 14 revalued points); freakness less than 5; no 4-card major unless 4-3-3-3 shape.

As predicted. The J wins at matchpoints, because it minimizes the average tricks won by declarer. The J wins at total points or IMPs, because it sets the contract more often (vulnerability makes little difference).

Results for 10,000 Deals
Lead Trick Avg Make Pct Matchpoints Nonvul TPs Nonvul IMPs Vul TPs Vul IMPs
J 9.351 66.72 11359 56.80 635180 45.67 14922 47.34 966680 45.83 17761 47.31
J 9.276 70.49 8641 43.21 755620 54.33 16596 52.66 1142720 54.17 19778 52.69

Results for 10,000 Deals
Lead	Trick Avg	Make Pct	Matchpoints	Nonvul TPs	Nonvul IMPs	Vul TPs	Vul IMPs
J	9.351	66.72	11359 56.80	635180 45.67	14922 47.34	966680 45.83	17761 47.31
J	9.276	70.49	8641 43.21	755620 54.33	16596 52.66	1142720 54.17	19778 52.69

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.) All numbers are relative to declarer, so lower values indicate better for the defense.

Below are 100 of the 10,000 deals, including the first 10 and last 10, and selected deals in-between where the lead made a significant difference. The number of tricks won by declarer is shown for each lead, assuming double-dummy play by both sides thereafter.

Seed B2C37AD9 10000

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

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

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

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

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

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

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

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

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

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

Simulation 8Z05 Main Top Which Five-Card Major?

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

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

16. 9 7 4
A Q
Q 9 8 6
K Q 10 9
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8
9 6 5 4
J 7 5 4
8 5 3
J 8
J 11 Q 6 5
K 7
A K 10
A J 7 6 4

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

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

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

23. 7 5
Q 6 4
A Q 7
Q 9 7 5 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 8 6 4
7 5
J 10 4
A 8 6 3
J 9
J 8 K 9
A K 9
K 9 8 6 5
K J 10

25. 8 7
Q 6
A Q 9 7 4
K 9 8 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 5 4
9 7 5
8 5
A Q 7 6 3
J 9
J 8 K 9 6
A K 4
K J 10 6
J 10 4

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

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

Simulation 8Z05 Main Top Which Five-Card Major?

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

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

45. 7 5 4
9 6
K J 5 4
A Q 8 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 8
A K 7
10 9 7 6
10 9 7 6
J 9
J 6 K 9 6
Q 5 4
A Q 8
K J 4 3

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

58. 5 4
5 4
A Q 10 6 5
A J 10 8
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 9 7 6
Q 9 7
9 8 7
Q 6 5
J 8
J 12 Q 8
A K 6
K J 4
K 9 7 4 3

59. 9 4
A 6
A 9 6
Q J 10 9 8 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table K Q 8
K 9 4
10 8 7 5 4
7 4
J 8
J 10 7 6 5
Q 7 5
K Q J
A K 6 3

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

72. 6 4
A K 6
10 8 7 5 4
K 10 8
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 7
9 5 4
Q J
J 7 6 5 3
J 8
J 12 Q 9 5
Q 7
A K 9 6
A Q 9 4

73. 8 6
Q 6 4
A 9 5
K 6 5 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 7
K 9
Q 8 7 6 4
Q J 9 8
J 9
J 8 K 9 5 4
A 7 5
K J 10
A 10 7

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

Simulation 8Z05 Main Top Which Five-Card Major?

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

80. 7
A K 6
Q J 10 5 4
J 5 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 9 8 6 4
—
8 7 6
A Q 9 8 7
J 9
J 8 K 5
Q 9 7 5 4
A K 9
K 10 6

81. 9 6 4
Q 7 6
A J 9 4
A 9 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 7
A 9 5
10 7 6
K J 8 5 3
J 8
J 9 K Q 5
K 4
K Q 8 5
Q 10 7 6

83. 9 8 6
K 6
A Q 9 8 6 4
8 6
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 5
Q 9 4
J 10
A 10 9 7 5 3
J 9
J 8 K 7 4
A 7 5
K 7 5
K Q J 4

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

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

93. 6 4
9 4
K J 10 9 7 6
K Q 6
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 9 8 7
5
8 5
A J 9 8 4 3
J 7
J 9 Q 5
A K Q 7 6
A Q 4
10 7 5

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

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

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

Simulation 8Z05 Main Top Which Five-Card Major?

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

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

120. 9 7 4
A 6 4
K 7 5
A J 8 6
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 8
Q 7 5
Q J 10 4
10 7 4 3
J 9
J 8 K 6 5
K 9
A 9 8 6
K Q 9 5

125. 9 7
K 9 5
K 9 7 6
A J 5 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 8
Q 7 4
J 10 5 4
Q 10 7 6
J 9
J 8 K 6 5 4
A 6
A Q 8
K 9 8 4

127. 9 5
K 6
K Q 9 8
J 9 8 7 6
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 6
9 7 5 4
10 7 5
A Q 5 4
J 9
J 8 K 8 7 4
A Q
A J 6 4
K 10 3

130. 8 7
Q 9 6
Q J 10
A Q 10 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 6 5
A 5
9 8 7 6 5
J 8 7
J 9
J 7 K 9 4
K 7 4
A K 4
K 9 6 5

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

133. 7 6 5
K Q
Q J 8
A 9 8 5 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table 9
A 6 4
10 9 7 6 4
Q J 6 4
J 9
J 7 K Q 8 4
9 7 5
A K 5
K 10 7

140. 8 5
7 6 4
A 9 5
K Q 8 4 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 7
9 5
Q J 8 7
A J 9 7 6
J 9
J 8 K 9 6 4
A K Q
K 10 6 4
10 5

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

Simulation 8Z05 Main Top Which Five-Card Major?

154. 6 5 4
A Q 7
A 10 9
Q 10 9 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 9 8
9 6
7 6 5
A 7 6 4 3
J 9
J 8 K 7
K 5 4
K Q J 8 4
K J 8

160. 9 8 5
Q 6
A Q 10
A J 10 9 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 6
K 9 7 4
7 6 4
8 6 4 3
J 8
J 11 Q 7 4
A 5
K J 9 8 5
K Q 7

171. 8 7 6
A 5
A 8 7 6
J 10 8 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 9 5
Q 6 4
J 9 4
K 9 7 5
J 8
J 9 Q 4
K 9 7
K Q 10 5
A Q 6 3

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

174. 7 5 4
K 4
Q J 9
A Q 9 7 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 9 6
Q 7
10 7 6 5
J 10 8 5
J 8
J 9 Q 8
A 9 6 5
A K 8 4
K 6 4

176. 6 5
5 4
A Q 10 5 4
Q J 9 7
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 9 8 7
A Q 6
J 9 7
10 4 3
J 11
J 7 K 4
K 9 7
K 8 6
A K 8 6 5

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

180. 8 5
K 6 5
A K J 8 7 4
10 8
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 7 6
7 4
9 6
Q J 9 6 5 4
J 8
J 11 Q 9 4
A Q 9
Q 10 5
A K 7 3

188. 9 4
9 5
A 9 5 4
A J 8 6 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 8 7 5
Q 4
K J 7
10 9 4 3
J 9
J 8 K 6
A K 7 6
Q 10 8 6
K Q 7

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

Simulation 8Z05 Main Top Which Five-Card Major?

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

198. 7 6 4
9 7
K 10 6
A K 6 5 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 9 8
Q 6 4
Q J 8 7
10 9 7
J 8
J 9 Q 5
A K 5
A 9 5 4
Q J 8 3

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

204. 9 4
9 4
A 10 9 8 7 4
K Q 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 8
A K
J 5
10 9 8 7 6 5 4
J 10
J 8 K 7 6 5
Q 7 6 5
K Q 6
A J

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

219. 7 4
Q 5
K Q J 8 5 4
Q 7 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table K Q 9 8
9 7 4
6
K J 9 5 4
J 8
J 10 6 5
A K 6
A 10 9 7
A 10 8 6

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

224. 9
9 6 5
Q 10 9 6
A Q J 10 7
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 7 6
K 7 4
A 7 4
8 6 5 4
J 8
J 9 K 8 5 4
A Q
K J 8 5
K 9 3

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

245. 5
K Q 9
Q J 10 9 4
K J 9 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 9 7 6
6 5 4
8
A 10 8 7 6
J 9
J 8 K 8 4
A 7
A K 7 6 5
Q 5 3

Simulation 8Z05 Main Top Which Five-Card Major?

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

250. 7 4
Q 5 4
K Q 8 7
A J 10 5
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 5
9 6
J 10 5 4
Q 7 4 3
J 8
J 10 Q 9 6
A K 7
A 9 6
K 9 8 6

251. 9 8
A 9
J 10 6
A 10 9 6 5 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 5 4
K 7 6 4
K 9 7
J 7 3
J 8
J 12 Q 7 6
Q 5
A Q 8 5 4
K Q 8

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

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

257. 9 4
A 9
Q J 10 7 6 4
A 8 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 7 5
Q 5 4
A 5
J 10 6 5 3
J 8
J 11 K Q 6
K 7 6
K 9 8
K Q 9 7

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

268. 7 6 4
A Q 6
J 10 8 4
Q 10 9
A J 10 3 2
J 10 8 3 2
3 2
2 Table 8 5
9 7 5
9 6
A K J 7 5 3
J 9
J 8 K Q 9
K 4
A K Q 7 5
8 6 4

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

289. 9 6
Q 7 4
A J 8 7 4
Q 9 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q
K 9 6
K 10 5
J 10 8 7 6 3
J 9
J 8 K 8 7 5 4
A 5
Q 9 6
A K 5

Simulation 8Z05 Main Top Which Five-Card Major?

291. 8 5
A K 5
Q J 9 6
10 7 5 3
A J 10 3 2
J 10 8 3 2
3 2
2 Table Q 6 4
7 4
K 10 7 4
Q J 9 4
J 9
J 7 K 9 7
Q 9 6
A 8 5
A K 8 6

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

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

297. 8 5
Q 5
A Q J 6 5 4
9 8 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table K Q 9 7
9 7
9 7
K Q 10 7 6
J 8
J 10 6 4
A K 6 4
K 10 8
A J 5 3

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

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

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

307. 9 4
K 7 4
K 8 7 5 4
A Q 4
A J 10 3 2
J 10 8 3 2
3 2
2 Table K 8 7 6
6 5
Q 10
10 9 7 6 5
J 8
J 12 Q 5
A Q 9
A J 9 6
K J 8 3

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

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

Simulation 8Z05 Main Top Which Five-Card Major?

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

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

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

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

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

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

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

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

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

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

Simulation 8Z05 Main

Top Which Five-Card Major?

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

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

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

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

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

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

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

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

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

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

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

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

16.	9 7 4 A Q Q 9 8 6 K Q 10 9
A J 10 3 2 J 10 8 3 2 3 2 2		K 8 9 6 5 4 J 7 5 4 8 5 3
J 8 J 11	Q 6 5 K 7 A K 10 A J 7 6 4

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

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

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

23.	7 5 Q 6 4 A Q 7 Q 9 7 5 4
A J 10 3 2 J 10 8 3 2 3 2 2		Q 8 6 4 7 5 J 10 4 A 8 6 3
J 9 J 8	K 9 A K 9 K 9 8 6 5 K J 10

25.	8 7 Q 6 A Q 9 7 4 K 9 8 5
A J 10 3 2 J 10 8 3 2 3 2 2		Q 5 4 9 7 5 8 5 A Q 7 6 3
J 9 J 8	K 9 6 A K 4 K J 10 6 J 10 4

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

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

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

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

45.	7 5 4 9 6 K J 5 4 A Q 8 5
A J 10 3 2 J 10 8 3 2 3 2 2		Q 8 A K 7 10 9 7 6 10 9 7 6
J 9 J 6	K 9 6 Q 5 4 A Q 8 K J 4 3

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

58.	5 4 5 4 A Q 10 6 5 A J 10 8
A J 10 3 2 J 10 8 3 2 3 2 2		K 9 7 6 Q 9 7 9 8 7 Q 6 5
J 8 J 12	Q 8 A K 6 K J 4 K 9 7 4 3

59.	9 4 A 6 A 9 6 Q J 10 9 8 5
A J 10 3 2 J 10 8 3 2 3 2 2		K Q 8 K 9 4 10 8 7 5 4 7 4
J 8 J 10	7 6 5 Q 7 5 K Q J A K 6 3

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

72.	6 4 A K 6 10 8 7 5 4 K 10 8
A J 10 3 2 J 10 8 3 2 3 2 2		K 8 7 9 5 4 Q J J 7 6 5 3
J 8 J 12	Q 9 5 Q 7 A K 9 6 A Q 9 4

73.	8 6 Q 6 4 A 9 5 K 6 5 4 3
A J 10 3 2 J 10 8 3 2 3 2 2		Q 7 K 9 Q 8 7 6 4 Q J 9 8
J 9 J 8	K 9 5 4 A 7 5 K J 10 A 10 7

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