Simulation 8Z25 Main

by Richard Pavlicek

 Any vul West North East South J 8 7 2 2 NT1 A 10 9 5 Pass 3 NT Pass Pass 8 7 2 Pass 10 4 3 NT 1. 20-21

Leads compared: 2, 10, 5, 8.

Most players would lead a heart — best suit, good attacking prospects, desire to lead a major, and rejecting spades for being too weak or the “never lead from a jack” school. As to which heart, it seems a close call; the 10 might trap the jack in dummy or unblock the suit if partner has five, while the 5 preserves your strength for subsequent rounds.

Not so fast. Leading from A-10-9-5 is one of the worst for safety (see Leading Authority), losing a trick 28 percent of the time, while the loss from J-8-7-2 is only 11 percent. If trick loss were the only issue, a diamond would be clear (less than 1 percent loss) but a diamond lacks severely in attacking ability. The choice between attack and safety is common, and each case is difficult if not impossible to decide in theory. An empirical solution is the only practical one, so let’s toss 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: 20-21 HCP; balanced (5-card major allowed if doubleton is J-x or better). North: 5-11 revalued points; no 5+ major; no 7+ minor; 2+ clubs (else Stayman); no 4-card major unless 4-3-3-3 shape; freakness less than 6. East: freakness less than 6 or fewer than 7.5 playing tricks (i.e., East would need extreme shape and 7.5+ playings tricks to bid over 3 NT.)

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.

Well, there you have it. While a heart is the most attacking, and a diamond is the safest, a spade wins comfortably at any form of scoring and vulnerability. Evidently the combination of a moderate attack with moderate safety is the key. Also note that a diamond is better than a heart, and the 10 is better than the 5.

Results for 10,000 Deals
22.899413.6118.48
102.920812.2724.95
52.889111.5925.15
82.846512.8916.22

ComparisonNet W-LNet ScoreNet IMPsNet ScoreNet IMPs
2 vs. 10+516+52,240+1331+91,690+1671
2 vs. 5+697+90,330+2149+146,830+2617
2 vs. 8+284+46,990+1124+67,190+1252
8 vs. 10+350+5250+271+24,500+496
8 vs. 5+567+43,340+1097+79,640+1450
10 vs. 5+267+38,090+914+55,140+1044

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

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

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

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

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

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

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

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

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

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

 Simulation 8Z25 Main Top Which Suit To Lead?

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

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

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

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

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

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

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

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

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

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

 Simulation 8Z25 Main Top Which Suit To Lead?

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

 357. 10 4 3 Q 3 Q 10 9 4 3 K J 3 J 8 7 2 A 10 9 5 8 7 2 10 4 Q 9 5 K 8 6 4 2 J 5 7 6 2 2 → 1 10 → 5 5 → 4 8 → 1 A K 6 J 7 A K 6 A Q 9 8 5

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

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

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

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

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

 971. 10 9 4 3 8 6 2 K 6 4 Q 6 5 J 8 7 2 A 10 9 5 8 7 2 10 4 6 5 7 3 A Q J 5 3 K 7 3 2 2 → 5 10 → 4 5 → 3 8 → 7 A K Q K Q J 4 10 9 A J 9 8

 1012. 5 4 K 4 3 J 10 9 6 5 Q 9 6 J 8 7 2 A 10 9 5 8 7 2 10 4 10 9 6 Q 7 Q 4 3 A J 8 3 2 2 → 5 10 → 5 5 → 6 8 → 5 A K Q 3 J 8 6 2 A K K 7 5

 1489. K 4 3 4 3 J 9 6 K 9 7 6 3 J 8 7 2 A 10 9 5 8 7 2 10 4 Q 6 K 8 7 6 2 K 5 4 8 5 2 2 → 1 10 → 5 5 → 4 8 → 2 A 10 9 5 Q J A Q 10 3 A Q J

 Simulation 8Z25 Main Top Which Suit To Lead?

 1622. K 9 Q 4 9 4 3 K 9 7 6 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 10 6 5 4 K 8 7 3 2 J 6 Q 8 2 → 0 10 → 5 5 → 4 8 → 0 A Q 3 J 6 A K Q 10 5 A J 5

 1732. 9 6 7 6 A 6 4 A J 8 7 6 3 J 8 7 2 A 10 9 5 8 7 2 10 4 5 4 3 K J 3 J 10 5 3 9 5 2 2 → 0 10 → 3 5 → 4 8 → 1 A K Q 10 Q 8 4 2 K Q 9 K Q

 1818. 6 5 3 K Q J 9 J 8 7 6 5 3 J 8 7 2 A 10 9 5 8 7 2 10 4 Q 10 9 Q 8 7 6 3 2 A 5 4 2 2 → 5 10 → 4 5 → 4 8 → 7 A K 4 J 4 K 10 6 3 A K Q 9

 1834. Q 3 J 4 2 10 4 Q J 8 7 6 2 J 8 7 2 A 10 9 5 8 7 2 10 4 10 6 5 Q 7 3 A K 9 6 5 3 9 2 → 4 10 → 3 5 → 3 8 → 7 A K 9 4 K 8 6 Q J A K 5 3

 1942. 6 4 3 Q 8 Q 10 9 5 4 3 J 2 J 8 7 2 A 10 9 5 8 7 2 10 4 Q 9 7 3 2 J 6 A Q 9 7 5 3 2 → 3 10 → 6 5 → 5 8 → 3 A K 10 5 K J 6 4 A K K 8 6

 1951. K 9 5 7 Q J 10 9 6 4 Q 7 6 J 8 7 2 A 10 9 5 8 7 2 10 4 Q 10 6 3 K J 3 2 3 J 8 3 2 2 → 1 10 → 3 5 → 4 8 → 1 A 4 Q 8 6 4 A K 5 A K 9 5

 2145. K 5 3 J 6 4 6 4 Q J 6 5 2 J 8 7 2 A 10 9 5 8 7 2 10 4 10 9 6 2 A K J 10 9 3 9 7 3 2 → 5 10 → 4 5 → 4 8 → 7 A Q 4 K Q 8 7 3 Q 5 A K 8

 2162. 5 3 8 7 Q 10 9 6 K Q 9 8 5 J 8 7 2 A 10 9 5 8 7 2 10 4 10 4 Q J 6 4 3 A 4 3 J 7 3 2 → 5 10 → 4 5 → 4 8 → 6 A K Q 9 6 K 2 K J 5 A 6 2

 2180. 6 5 3 6 10 9 6 3 K 7 6 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 A Q 10 Q J 8 7 3 2 Q 5 9 5 2 → 7 10 → 3 5 → 3 8 → 4 K 9 4 K 4 A K J 4 A Q J 8

 2480. Q 5 K 7 10 6 5 4 3 Q 9 8 5 J 8 7 2 A 10 9 5 8 7 2 10 4 9 6 3 J 4 2 A Q 9 J 7 6 2 2 → 4 10 → 4 5 → 5 8 → 4 A K 10 4 Q 8 6 3 K J A K 3

 Simulation 8Z25 Main Top Which Suit To Lead?

 2748. 10 4 J 7 Q 10 9 5 3 J 8 7 2 J 8 7 2 A 10 9 5 8 7 2 10 4 K Q 9 6 5 Q 8 6 3 6 4 A 6 2 → 6 10 → 4 5 → 4 8 → 3 A 3 K 4 2 A K J K Q 9 5 3

 2842. 9 5 4 Q Q J 4 J 9 6 5 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 Q 3 K 8 7 4 2 10 9 5 3 K 8 2 → 2 10 → 5 5 → 4 8 → 2 A K 10 6 J 6 3 A K 6 A Q 7

 2993. Q 6 5 Q 7 2 9 6 Q 9 7 5 2 J 8 7 2 A 10 9 5 8 7 2 10 4 4 3 8 6 3 A K J 5 4 3 8 3 2 → 4 10 → 3 5 → 3 8 → 7 A K 10 9 K J 4 Q 10 A K J 6

 3015. Q 4 3 7 J 10 5 A J 8 7 6 3 J 8 7 2 A 10 9 5 8 7 2 10 4 10 9 Q J 6 4 2 A 6 4 9 5 2 2 → 3 10 → 3 5 → 3 8 → 6 A K 6 5 K 8 3 K Q 9 3 K Q

 3023. 9 4 8 6 3 A J 10 4 3 K 8 7 J 8 7 2 A 10 9 5 8 7 2 10 4 A K 10 6 5 7 4 2 5 9 6 5 2 2 → 6 10 → 3 5 → 3 8 → 4 Q 3 K Q J K Q 9 6 A Q J 3

 3411. 6 4 6 2 Q J 10 6 3 J 6 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 K Q 10 Q J 8 3 9 5 4 Q 8 7 2 → 7 10 → 4 5 → 4 8 → 5 A 9 5 3 K 7 4 A K A K 9 5

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

 3596. 10 5 Q 7 6 10 5 K J 9 8 7 3 J 8 7 2 A 10 9 5 8 7 2 10 4 9 6 4 J 2 A K J 6 4 3 5 2 2 → 3 10 → 3 5 → 3 8 → 7 A K Q 3 K 8 4 3 Q 9 A Q 6

 4142. 9 6 5 K 7 4 3 Q 10 5 9 8 3 J 8 7 2 A 10 9 5 8 7 2 10 4 A 4 3 Q 8 K 9 6 4 J 6 5 2 2 → 4 10 → 4 5 → 5 8 → 4 K Q 10 J 6 2 A J 3 A K Q 7

 4146. 6 J 7 4 Q J 10 6 5 3 K 7 6 J 8 7 2 A 10 9 5 8 7 2 10 4 A K 10 5 4 3 6 3 2 — J 9 8 2 2 → 7 10 → 3 5 → 3 8 → 4 Q 9 K Q 8 A K 9 4 A Q 5 3

 Simulation 8Z25 Main Top Which Suit To Lead?

 4574. 6 5 J 7 Q J 10 9 5 9 8 7 5 J 8 7 2 A 10 9 5 8 7 2 10 4 A K 10 4 3 Q 8 6 6 3 J 6 2 2 → 6 10 → 3 5 → 3 8 → 4 Q 9 K 4 3 2 A K 4 A K Q 3

 4948. 9 4 3 4 3 J 9 Q J 9 8 6 2 J 8 7 2 A 10 9 5 8 7 2 10 4 K 10 5 J 2 A K 10 6 4 3 5 3 2 → 5 10 → 4 5 → 4 8 → 7 A Q 6 K Q 8 7 6 Q 5 A K 7

 5102. 10 K 8 7 6 5 4 Q 9 8 6 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 A 9 6 5 4 3 Q 4 2 9 3 A 5 2 → 7 10 → 5 5 → 5 8 → 3 K Q J 6 3 A K Q J 10 K J 7

 5218. 10 8 7 3 Q 9 5 3 Q J 5 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 A K Q 9 5 4 6 2 10 4 9 8 6 2 → 7 10 → 3 5 → 3 8 → 4 6 3 K Q J 4 A K J 6 A K 7

 5227. Q 10 3 3 K 9 6 3 Q J 8 6 2 J 8 7 2 A 10 9 5 8 7 2 10 4 9 6 5 4 K J 7 2 Q J 9 7 5 2 → 1 10 → 3 5 → 4 8 → 1 A K Q 8 6 4 A 10 5 4 A K 3

 5302. 6 3 8 7 K J 10 6 3 K Q 7 5 J 8 7 2 A 10 9 5 8 7 2 10 4 10 9 5 K J 2 Q 9 4 9 6 3 2 2 → 2 10 → 3 5 → 4 8 → 1 A K Q 4 Q 6 4 3 A 5 A J 8

 5509. Q 10 9 2 K 9 6 5 J 7 6 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 K 4 K 8 7 6 4 3 J 10 3 Q 9 2 → 1 10 → 6 5 → 4 8 → 2 A 6 5 3 Q J A Q 4 A K 8 5

 5704. 10 9 6 2 J 9 4 Q 8 7 6 5 3 J 8 7 2 A 10 9 5 8 7 2 10 4 6 3 Q 8 7 4 K Q 10 6 5 A 2 2 → 2 10 → 4 5 → 4 8 → 6 A K Q 5 4 K J 3 A 3 K J 9

 5884. A 6 4 8 K J 6 5 4 J 8 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 9 5 3 K J 6 3 Q 9 3 9 7 5 2 → 1 10 → 3 5 → 4 8 → 1 K Q 10 Q 7 4 2 A 10 A K Q 6

 5974. K 10 9 J 2 K 5 4 Q 9 6 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 6 5 K 8 7 4 3 Q J 9 3 8 7 2 → 2 10 → 5 5 → 4 8 → 2 A Q 4 3 Q 6 A 10 6 A K J 5

 Simulation 8Z25 Main Top Which Suit To Lead?

 6052. 9 6 4 7 3 10 4 3 K Q 7 5 2 J 8 7 2 A 10 9 5 8 7 2 10 4 K 10 3 K J 8 Q 9 5 J 9 8 3 2 → 4 10 → 4 5 → 5 8 → 4 A Q 5 Q 6 4 2 A K J 6 A 6

 6602. Q 10 4 7 4 3 Q 5 Q 8 5 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 6 3 8 6 2 A K J 10 6 4 9 6 2 → 4 10 → 3 5 → 3 8 → 7 A K 9 5 K Q J 9 3 A K J 7

 6968. Q 5 J 8 4 9 5 4 Q 8 6 5 3 J 8 7 2 A 10 9 5 8 7 2 10 4 10 9 6 4 3 7 2 A J 6 3 A J 2 → 6 10 → 4 5 → 4 8 → 5 A K K Q 6 3 K Q 10 K 9 7 2

 7021. Q 9 4 8 6 4 2 K 5 3 J 9 2 J 8 7 2 A 10 9 5 8 7 2 10 4 10 5 3 J 3 10 6 4 A K 8 6 5 2 → 4 10 → 4 5 → 5 8 → 4 A K 6 K Q 7 A Q J 9 Q 7 3

 7137. 10 9 3 3 6 5 3 A K 8 7 6 3 J 8 7 2 A 10 9 5 8 7 2 10 4 6 K 8 7 6 4 2 Q J 10 4 J 9 2 → 0 10 → 6 5 → 4 8 → 2 A K Q 5 4 Q J A K 9 Q 5 2

 7552. 9 5 4 8 K Q 10 6 Q J 7 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 6 3 K 7 6 4 3 2 J 9 3 K 6 2 → 0 10 → 6 5 → 4 8 → 1 A K Q 10 Q J A 5 4 A 9 8 5

 7958. Q 10 6 J K Q J 4 3 8 7 5 2 J 8 7 2 A 10 9 5 8 7 2 10 4 9 5 4 K 8 7 6 3 9 6 Q 6 3 2 → 1 10 → 5 5 → 4 8 → 1 A K 3 Q 4 2 A 10 5 A K J 9

 8072. A 10 J 8 J 6 5 4 Q 9 7 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 9 4 3 K 6 4 3 2 Q 10 J 8 6 2 → 0 10 → 5 5 → 4 8 → 0 K Q 6 5 Q 7 A K 9 3 A K 5

 8082. 10 9 5 7 J 10 9 4 3 A J 8 7 J 8 7 2 A 10 9 5 8 7 2 10 4 A 3 Q J 8 6 3 2 5 Q 9 6 3 2 → 7 10 → 4 5 → 4 8 → 5 K Q 6 4 K 4 A K Q 6 K 5 2

 8095. K 8 4 3 J 10 9 3 J 7 5 3 2 J 8 7 2 A 10 9 5 8 7 2 10 4 A Q 10 9 6 4 J 7 6 Q 5 4 9 2 → 7 10 → 3 5 → 3 8 → 4 5 3 K Q 2 A K 6 A K Q 8 6

 Simulation 8Z25 Main Top Which Suit To Lead?

 8572. Q 9 6 J 10 9 5 Q J 9 6 5 3 J 8 7 2 A 10 9 5 8 7 2 10 4 10 4 Q 7 6 4 3 A K 4 3 7 2 2 → 3 10 → 3 5 → 3 8 → 7 A K 5 3 K 8 2 Q J 6 A K 8

 8834. 6 4 3 J 6 9 4 K Q J 7 5 3 J 8 7 2 A 10 9 5 8 7 2 10 4 K 10 9 8 7 4 3 2 10 5 3 A 8 2 → 2 10 → 5 5 → 4 8 → 2 A Q 5 K Q A K Q J 6 9 6 2

 8865. 9 6 5 8 3 J 10 4 K J 7 5 3 J 8 7 2 A 10 9 5 8 7 2 10 4 A 10 3 Q J 7 4 2 K 6 3 9 8 2 → 6 10 → 3 5 → 3 8 → 4 K Q 4 K 6 A Q 9 5 A Q 6 2

 8905. Q 10 5 3 J 10 5 4 Q 9 7 6 3 J 8 7 2 A 10 9 5 8 7 2 10 4 9 6 3 Q J 8 7 6 A K 6 3 5 2 → 5 10 → 4 5 → 4 8 → 7 A K 4 K 4 2 Q 9 A K J 8 2

 9189. K Q 6 7 2 Q 10 J 9 8 7 5 3 J 8 7 2 A 10 9 5 8 7 2 10 4 10 9 4 3 K J 4 9 5 4 3 K 6 2 → 0 10 → 3 5 → 4 8 → 0 A 5 Q 8 6 3 A K J 6 A Q 2

 9349. 4 3 8 7 3 Q 9 3 Q J 8 6 3 J 8 7 2 A 10 9 5 8 7 2 10 4 A K 10 6 5 Q J 4 10 6 4 9 5 2 → 9 10 → 3 5 → 3 8 → 4 Q 9 K 6 2 A K J 5 A K 7 2

 9368. A 6 3 8 6 4 3 Q 10 3 A 7 5 J 8 7 2 A 10 9 5 8 7 2 10 4 9 J 7 2 J 9 6 4 Q 8 6 3 2 2 → 1 10 → 2 5 → 3 8 → 2 K Q 10 5 4 K Q A K 5 K J 9

 9404. 6 5 8 7 2 9 6 K J 9 7 5 3 J 8 7 2 A 10 9 5 8 7 2 10 4 10 9 3 6 3 A K Q J 10 3 8 6 2 → 4 10 → 3 5 → 3 8 → 7 A K Q 4 K Q J 4 5 4 A Q 2

 9537. 9 3 K 6 3 J 10 Q 9 8 7 6 2 J 8 7 2 A 10 9 5 8 7 2 10 4 6 5 4 8 7 A K 6 5 4 3 J 3 2 → 3 10 → 3 5 → 3 8 → 7 A K Q 10 Q J 4 2 Q 9 A K 5

 9681. A 10 6 8 3 2 9 6 3 J 9 8 7 J 8 7 2 A 10 9 5 8 7 2 10 4 K 9 4 3 Q J 4 10 5 A 6 3 2 2 → 6 10 → 4 5 → 4 8 → 5 Q 5 K 7 6 A K Q J 4 K Q 5

 Simulation 8Z25 Main Top Which Suit To Lead?

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

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

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

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

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

 9986. 9 6 8 4 2 6 5 A Q 8 7 6 3 J 8 7 2 A 10 9 5 8 7 2 10 4 K Q 4 3 Q 7 6 3 10 4 3 J 9 2 → 1 10 → 0 5 → 0 8 → 1 A 10 5 K J A K Q J 9 K 5 2

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

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

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

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

 Simulation 8Z25 Main Top Which Suit To Lead?

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

 9992. K 4 3 6 4 9 6 4 3 A K 6 3 J 8 7 2 A 10 9 5 8 7 2 10 4 10 9 6 5 7 3 2 K J 9 7 5 2 2 → 1 10 → 1 5 → 1 8 → 1 A Q K Q J 8 A Q 10 5 Q J 8

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

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

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

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

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

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

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

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

 Simulation 8Z25 Main Top Which Suit To Lead?