Simulation 8Z09   Main

by Richard Pavlicek

[First read Part I, II and III]

Now suppose your trumps are J-2 instead of 3-2, where a trump lead is more likely to lose a trump trick. Would this change the picture?

 You 4 South WestPassPass North1 NT14 EastPassAll Pass SOUTH1 2 A J 9 2 J 2 J 3 2 J 4 3 2 1. forcing (6-12)

Leads compared: 2, 2, 2. I suspect the increased jeopardy in leading from J-2 will reverse the results, returning the 2 to the fore. What do you think?

For a simulation I created 10,000 random deals with the West hand fixed and the other hands constrained to fit the auction. South: 5+ spades; 4+ hearts; 13-14 total points (minimal for better chances to set); freakness at most 7. North: 4+ hearts; not 4+ spades; 11+ support points (a stretch perhaps but leaving higher hopes to set). East: inappropriate hand for an overcall or takeout double.

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 anticipated, the risky trump lead does not overcome the advantage in curbing ruffs. Another way of looking at it: Holding J-2, J-3-2 and J-4-3-2, leading from the longest jack is surely safest, especially with declarer likely short in the suit. Did we learn anything? Who knows, but a hand with all four jacks marks a fitting end to this project.

Results for 10,000 Deals
23.215638.4440.55
23.255740.8140.07
23.278241.2840.75

ComparisonNet W-LNet ScoreNet IMPsNet ScoreNet IMPs
2 vs. 2+567+143460+3174+213760+3728
2 vs. 2+201+27690+664+40090+773
2 vs. 2+378+115770+2515+173670+2961

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

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

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

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

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

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

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

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

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

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

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

 Simulation 8Z09   Main Top   Trump Lead Part IV

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

 12. 8 K 7 5 4 3 8 7 5 4 A K 6 A J 9 2 J 2 J 3 2 J 4 3 2 K Q 4 10 9 K 10 9 Q 10 9 8 5 2 → 1 2 → 1 2 → 1 10 7 6 5 3 A Q 8 6 A Q 6 7

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

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

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

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

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

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

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

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

 Simulation 8Z09   Main Top   Trump Lead Part IV

 412. 7 K 10 5 4 9 6 5 4 A K 10 7 A J 9 2 J 2 J 3 2 J 4 3 2 Q 4 Q 6 3 K Q 10 8 7 Q 9 5 2 → 2 2 → 4 2 → 2 K 10 8 6 5 3 A 9 8 7 A 8 6

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

 471. 8 6 5 A Q 10 9 5 Q 6 K Q 7 A J 9 2 J 2 J 3 2 J 4 3 2 Q 3 A 10 9 8 7 5 4 10 9 6 5 2 → 2 2 → 4 2 → 2 K 10 7 4 3 K 8 7 6 4 K A 8

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

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

 1017. 3 10 9 8 4 K 9 8 A K 7 6 5 A J 9 2 J 2 J 3 2 J 4 3 2 Q 10 6 Q 7 A Q 10 5 Q 10 9 8 2 → 4 2 → 5 2 → 3 K 8 7 5 4 A K 6 5 3 7 6 4 —

 1232. 5 4 K Q 9 8 4 Q 9 7 4 K 7 A J 9 2 J 2 J 3 2 J 4 3 2 Q 6 10 5 K 8 6 5 A Q 9 6 5 2 → 4 2 → 3 2 → 5 K 10 8 7 3 A 7 6 3 A 10 10 8

 1324. 7 4 3 A 10 8 5 10 9 8 A K 7 A J 9 2 J 2 J 3 2 J 4 3 2 8 9 3 A K 7 5 4 10 9 8 6 5 2 → 2 2 → 4 2 → 2 K Q 10 6 5 K Q 7 6 4 Q 6 Q

 1462. 7 K Q 9 5 3 8 7 6 K Q 10 7 A J 9 2 J 2 J 3 2 J 4 3 2 5 4 3 A 10 A Q 9 5 9 8 6 5 2 → 3 2 → 5 2 → 3 K Q 10 8 6 8 7 6 4 K 10 4 A

 1525. 6 10 7 6 3 10 8 7 A K Q 6 5 A J 9 2 J 2 J 3 2 J 4 3 2 8 5 4 Q 9 5 A K Q 9 10 9 7 2 → 3 2 → 5 2 → 3 K Q 10 7 3 A K 8 4 6 5 4 8

 Simulation 8Z09   Main Top   Trump Lead Part IV

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

 1776. Q 10 4 A K 10 8 Q 10 6 4 9 7 A J 9 2 J 2 J 3 2 J 4 3 2 5 7 6 5 K 9 8 7 A Q 8 6 5 2 → 3 2 → 2 2 → 4 K 8 7 6 3 Q 9 4 3 A 5 K 10

 2081. 5 K 10 9 4 A 7 6 5 4 Q 6 5 A J 9 2 J 2 J 3 2 J 4 3 2 K 8 4 7 6 3 K Q 8 A 9 8 7 2 → 4 2 → 3 2 → 2 Q 10 7 6 3 A Q 8 5 10 9 K 10

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

 2459. 8 5 Q 10 9 6 5 K Q 9 8 K 7 A J 9 2 J 2 J 3 2 J 4 3 2 K Q 8 4 10 7 5 4 A Q 8 6 5 2 → 3 2 → 2 2 → 4 10 7 6 4 3 A K 7 3 A 6 10 9

 2661. 6 5 Q 7 4 3 A K 10 9 8 Q 10 A J 9 2 J 2 J 3 2 J 4 3 2 10 K 6 5 7 5 4 A 9 8 7 6 5 2 → 1 2 → 3 2 → 4 K Q 8 7 4 3 A 10 9 8 Q 6 K

 2773. 10 10 6 4 3 Q 5 4 A K 10 9 6 A J 9 2 J 2 J 3 2 J 4 3 2 6 5 4 K 7 A K 7 6 Q 8 7 5 2 → 3 2 → 4 2 → 2 K Q 8 7 3 A Q 9 8 5 10 9 8 —

 2954. Q 10 Q 8 6 3 K Q 10 9 7 10 6 A J 9 2 J 2 J 3 2 J 4 3 2 7 4 K 9 5 A 8 5 4 A 8 7 5 2 → 3 2 → 5 2 → 4 K 8 6 5 3 A 10 7 4 6 K Q 9

 3026. — K Q 9 5 9 8 7 5 4 K 10 9 6 A J 9 2 J 2 J 3 2 J 4 3 2 Q 10 8 5 A 10 7 K Q 6 Q 8 5 2 → 5 2 → 4 2 → 3 K 7 6 4 3 8 6 4 3 A 10 A 7

 3116. Q K 10 9 3 K 7 6 5 Q 10 9 5 A J 9 2 J 2 J 3 2 J 4 3 2 10 7 4 A 7 6 A 9 8 K 8 7 6 2 → 5 2 → 3 2 → 4 K 8 6 5 3 Q 8 5 4 Q 10 4 A

 Simulation 8Z09   Main Top   Trump Lead Part IV

 3387. — 6 5 4 3 K Q 10 9 A 10 9 8 7 A J 9 2 J 2 J 3 2 J 4 3 2 10 7 6 3 A K 8 7 5 4 K Q 6 2 → 4 2 → 2 2 → 2 K Q 8 5 4 Q 10 9 7 A 8 6 5

 3429. 6 A 8 6 4 8 5 4 A Q 9 7 5 A J 9 2 J 2 J 3 2 J 4 3 2 10 7 K 7 5 K Q 9 6 K 10 8 6 2 → 4 2 → 5 2 → 3 K Q 8 5 4 3 Q 10 9 3 A 10 7 —

 3466. — 10 8 7 4 A 10 9 8 7 Q 10 8 5 A J 9 2 J 2 J 3 2 J 4 3 2 10 8 4 3 A Q 5 Q 5 A K 7 6 2 → 5 2 → 3 2 → 4 K Q 7 6 5 K 9 6 3 K 6 4 9

 3532. K 10 6 K 9 5 3 Q 9 4 A 10 6 A J 9 2 J 2 J 3 2 J 4 3 2 7 Q 7 6 K 10 8 7 5 K 9 8 5 2 → 2 2 → 4 2 → 3 Q 8 5 4 3 A 10 8 4 A 6 Q 7

 3740. 5 4 K 7 6 3 8 4 A K 9 8 5 A J 9 2 J 2 J 3 2 J 4 3 2 K 7 Q 5 A 10 9 7 6 5 10 7 6 2 → 2 2 → 4 2 → 2 Q 10 8 6 3 A 10 9 8 4 K Q Q

 3753. — 10 9 8 7 K 7 6 5 A Q 8 7 5 A J 9 2 J 2 J 3 2 J 4 3 2 Q 6 5 4 A K 4 10 9 K 10 9 6 2 → 5 2 → 3 2 → 3 K 10 8 7 3 Q 6 5 3 A Q 8 4 —

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

 4248. 6 4 A K 9 7 Q 10 9 8 6 4 8 A J 9 2 J 2 J 3 2 J 4 3 2 Q 7 8 6 5 A K 5 K 10 9 7 6 2 → 4 2 → 3 2 → 2 K 10 8 5 3 Q 10 4 3 7 A Q 5

 4356. 8 3 K 9 7 5 3 A Q 9 4 9 6 A J 9 2 J 2 J 3 2 J 4 3 2 K Q Q 8 10 7 6 5 A 10 8 7 5 2 → 3 2 → 2 2 → 4 10 7 6 5 4 A 10 6 4 K 8 K Q

 4554. 10 K 9 8 4 A 10 9 6 K 7 6 5 A J 9 2 J 2 J 3 2 J 4 3 2 K 5 3 10 7 3 Q 7 4 A Q 10 8 2 → 5 2 → 3 2 → 4 Q 8 7 6 4 A Q 6 5 K 8 5 9

 Simulation 8Z09   Main Top   Trump Lead Part IV

 4733. 8 Q 10 8 5 A Q 7 6 Q 10 9 8 A J 9 2 J 2 J 3 2 J 4 3 2 K Q 10 9 4 3 K 9 8 4 K 7 6 2 → 4 2 → 3 2 → 2 7 6 5 4 3 A K 7 6 10 5 A 5

 4962. 8 10 9 5 4 A 7 6 4 K Q 9 5 A J 9 2 J 2 J 3 2 J 4 3 2 K Q 6 8 6 3 Q 8 5 A 10 7 6 2 → 4 2 → 2 2 → 3 10 7 5 4 3 A K Q 7 K 10 9 8

 5046. Q 5 Q 8 7 6 A K 10 5 4 10 8 A J 9 2 J 2 J 3 2 J 4 3 2 10 7 K 9 3 9 7 6 A 9 7 6 5 2 → 2 2 → 3 2 → 4 K 8 6 4 3 A 10 5 4 Q 8 K Q

 5833. Q 7 K 8 7 4 K 10 9 K 10 7 6 A J 9 2 J 2 J 3 2 J 4 3 2 10 6 Q 9 6 Q 6 4 A Q 9 8 5 2 → 3 2 → 2 2 → 4 K 8 5 4 3 A 10 5 3 A 8 7 5 —

 6310. K 8 3 K 8 6 4 Q 8 6 A 9 7 A J 9 2 J 2 J 3 2 J 4 3 2 7 Q 9 3 K 10 7 5 4 K Q 8 5 2 → 3 2 → 4 2 → 5 Q 10 6 5 4 A 10 7 5 A 9 10 6

 6503. K Q 6 Q 10 9 6 5 Q 10 5 K 7 A J 9 2 J 2 J 3 2 J 4 3 2 4 7 3 K 9 8 7 6 A 10 9 8 5 2 → 3 2 → 2 2 → 4 10 8 7 5 3 A K 8 4 A 4 Q 6

 6554. 6 10 8 7 5 9 8 7 A K Q 8 6 A J 9 2 J 2 J 3 2 J 4 3 2 10 4 3 K 9 6 A K Q 10 9 7 5 2 → 3 2 → 5 2 → 3 K Q 8 7 5 A Q 4 3 6 5 4 10

 6609. 10 6 A 9 8 3 10 8 7 5 K Q 10 A J 9 2 J 2 J 3 2 J 4 3 2 4 3 Q 6 5 K Q 4 A 9 8 7 5 2 → 3 2 → 5 2 → 4 K Q 8 7 5 K 10 7 4 A 9 6 6

 6701. Q Q 8 6 5 K 10 9 6 5 K Q 9 A J 9 2 J 2 J 3 2 J 4 3 2 10 6 4 K 9 4 Q 8 7 A 10 8 5 2 → 2 2 → 3 2 → 4 K 8 7 5 3 A 10 7 3 A 4 7 6

 7204. — K 10 7 5 Q 10 9 7 6 5 4 10 9 A J 9 2 J 2 J 3 2 J 4 3 2 K 10 8 7 Q 8 3 A 8 A 8 7 6 2 → 2 2 → 3 2 → 4 Q 6 5 4 3 A 9 6 4 K K Q 5

 Simulation 8Z09   Main Top   Trump Lead Part IV

 7294. 10 K Q 4 3 Q 9 7 5 K 10 9 6 A J 9 2 J 2 J 3 2 J 4 3 2 K Q 5 10 7 5 A 10 8 4 Q 8 7 2 → 4 2 → 3 2 → 2 8 7 6 4 3 A 9 8 6 K 6 A 5

 7384. K 4 10 9 8 6 K Q 10 9 8 K 5 A J 9 2 J 2 J 3 2 J 4 3 2 Q 5 K 7 4 6 5 4 A Q 9 8 6 2 → 2 2 → 3 2 → 4 10 8 7 6 3 A Q 5 3 A 7 10 7

 7397. 6 9 8 7 5 A K 9 6 5 K 9 6 A J 9 2 J 2 J 3 2 J 4 3 2 8 7 4 K 6 4 10 8 4 A Q 10 8 2 → 2 2 → 3 2 → 4 K Q 10 5 3 A Q 10 3 Q 7 7 5

 7400. 10 7 K 8 7 5 4 K Q 8 7 K 7 A J 9 2 J 2 J 3 2 J 4 3 2 Q 6 Q 6 9 5 4 A Q 10 9 6 5 2 → 2 2 → 2 2 → 4 K 8 5 4 3 A 10 9 3 A 10 6 8

 7422. Q 3 K 10 6 5 3 K 10 9 5 4 10 A J 9 2 J 2 J 3 2 J 4 3 2 K 7 Q 9 A 8 6 Q 9 8 7 6 5 2 → 2 2 → 4 2 → 2 10 8 6 5 4 A 8 7 4 Q 7 A K

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

 7796. 6 5 9 8 6 5 K 10 7 A K 10 8 A J 9 2 J 2 J 3 2 J 4 3 2 Q 4 Q 7 A Q 9 6 5 Q 9 7 5 2 → 3 2 → 5 2 → 4 K 10 8 7 3 A K 10 4 3 8 4 6

 7803. K 5 3 Q 8 4 3 Q 6 4 A Q 10 A J 9 2 J 2 J 3 2 J 4 3 2 8 K 7 6 K 10 9 8 7 K 9 7 6 2 → 3 2 → 5 2 → 4 Q 10 7 6 4 A 10 9 5 A 5 8 5

 7865. — K 6 5 4 K 9 7 6 5 8 7 6 5 A J 9 2 J 2 J 3 2 J 4 3 2 Q 10 4 3 A Q 7 Q 4 K Q 10 9 2 → 5 2 → 3 2 → 3 K 8 7 6 5 10 9 8 3 A 10 8 A

 8161. — Q 8 5 3 Q 8 7 6 K 9 8 7 5 A J 9 2 J 2 J 3 2 J 4 3 2 Q 8 7 6 A K 4 9 5 A Q 10 6 2 → 6 2 → 3 2 → 3 K 10 5 4 3 10 9 7 6 A K 10 4 —

 Simulation 8Z09   Main Top   Trump Lead Part IV

 8178. K 10 7 5 4 3 K Q 6 4 A 8 5 A J 9 2 J 2 J 3 2 J 4 3 2 10 8 3 A 6 10 9 8 7 5 K Q 9 2 → 3 2 → 2 2 → 4 Q 7 6 5 4 K Q 9 8 A 10 7 6

 8334. 6 A 9 7 3 Q 8 7 5 K 10 8 6 A J 9 2 J 2 J 3 2 J 4 3 2 K Q 10 K 10 5 K 10 9 4 9 7 5 2 → 5 2 → 4 2 → 3 8 7 5 4 3 Q 8 6 4 A 6 A Q

 8591. 4 K 10 9 5 K Q 8 7 4 Q 8 6 A J 9 2 J 2 J 3 2 J 4 3 2 K 8 6 Q 4 3 A 10 9 5 K 7 5 2 → 5 2 → 4 2 → 3 Q 10 7 5 3 A 8 7 6 6 A 10 9

 8926. 3 K 10 8 6 A Q 7 5 4 10 8 5 A J 9 2 J 2 J 3 2 J 4 3 2 Q 7 Q 7 5 K 9 8 6 A 9 7 6 2 → 3 2 → 4 2 → 5 K 10 8 6 5 4 A 9 4 3 10 K Q

 8958. 10 7 6 5 3 A 7 6 K Q 10 9 7 A J 9 2 J 2 J 3 2 J 4 3 2 8 6 4 K 9 4 K Q 10 5 A 8 6 2 → 3 2 → 5 2 → 3 K Q 7 5 3 A Q 10 8 9 8 4 5

 9134. Q 4 Q 10 8 5 3 Q 9 8 K Q 10 A J 9 2 J 2 J 3 2 J 4 3 2 6 5 K 7 K 10 7 6 A 9 8 6 5 2 → 2 2 → 4 2 → 3 K 10 8 7 3 A 9 6 4 A 5 4 7

 9184. 7 A 8 6 4 K Q 8 6 4 10 8 5 A J 9 2 J 2 J 3 2 J 4 3 2 8 4 3 Q 7 3 10 7 5 A K Q 9 2 → 2 2 → 2 2 → 4 K Q 10 6 5 K 10 9 5 A 9 7 6

 9220. 8 9 7 6 4 Q 10 9 8 7 6 A 10 A J 9 2 J 2 J 3 2 J 4 3 2 Q 10 5 A K A K 5 4 9 7 6 5 2 → 4 2 → 2 2 → 3 K 7 6 4 3 Q 10 8 5 3 — K Q 8

 9608. 8 5 Q 10 9 4 A 10 6 A 9 8 6 A J 9 2 J 2 J 3 2 J 4 3 2 K 4 6 5 3 Q 7 5 4 K Q 10 7 2 → 4 2 → 2 2 → 3 Q 10 7 6 3 A K 8 7 K 9 8 5

 9973. 3 A 7 5 3 A Q 8 5 4 9 8 7 A J 9 2 J 2 J 3 2 J 4 3 2 7 6 4 Q 6 4 10 7 6 A K 6 5 2 → 2 2 → 2 2 → 4 K Q 10 8 5 K 10 9 8 K 9 Q 10

 Simulation 8Z09   Main Top   Trump Lead Part IV

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

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

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

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

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

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

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

 9988. — Q 10 8 7 5 K 10 8 7 6 A 9 5 A J 9 2 J 2 J 3 2 J 4 3 2 Q 8 7 3 6 A 9 5 4 K 10 8 6 2 → 1 2 → 1 2 → 2 K 10 6 5 4 A K 9 4 3 Q Q 7

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

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

 Simulation 8Z09   Main Top   Trump Lead Part IV

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

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

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

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

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

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

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

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

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

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

 Simulation 8Z09   Main Top   Trump Lead Part IV