Simulation 8Z13   Main

Long Suit or Punt IV

by Richard Pavlicek

[First read Part I, II and III]

Surprised by Part II and III, let’s beef up the long suit a notch to J-10-9-8-7. If leading the J still wins, I expect Rod Serling to step out of the background and explain that I’ve just entered the twilight zone.

Suppose West his this hand on the same auction:

J 2 J 10 9 8 7 J 10 9 4 3 2

West Pass

North 3 NT

East All Pass

South 1 NT

Which jack should you lead? I’m almost afraid to spin the wheel, as the J is a no-brainer by all my accounts, yet strange things have been happening around here. Close your eyes!

To determine the best 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.

Finally some sensibility, though not without contention. At matchpoints or IMPs, the long-suit lead ( J) is now the winner, though not by a wide margin. Curiously, the J still beats the contract more often and is the winner at total points; but I can live with that, as total-point scoring is in the history books. Another curiosity is that the J beats the J slightly at matchpoints but otherwise loses heavily. Thanks to some feedback, there is now a Part V.

Results for 10,000 Deals

Lead	Trick Avg	Make Pct	Matchpoints	Nonvul TPs	Nonvul IMPs	Vul TPs	Vul IMPs
J	10.251	88.69	21258 53.15	505990 44.40	12466 47.26	704090 42.41	14040 46.04
J	10.195	90.96	18524 46.31	518370 45.49	11685 44.30	770970 46.44	13690 44.89
J	10.301	93.38	20218 50.55	684920 60.11	15414 58.44	1015420 61.16	18011 59.06

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 CA7B61E9 10000

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

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

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

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

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

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

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

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

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

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

Simulation 8Z13   Main

Top   Long Suit or Punt IV

19.	7 6 4 Q 4 A Q 3 K 10 9 6 5
J 2 J 10 9 8 7 J 10 9 4 3 2		A K Q 8 3 5 3 8 7 6 5 Q 7
J 8 J 11 J 11	10 9 5 A K 6 2 K 4 2 A J 8

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

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

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

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

37.	9 7 5 3 A 6 3 Q 8 2 K 6 5
J 2 J 10 9 8 7 J 10 9 4 3 2		A Q 8 6 Q 4 2 A 4 3 10 9 8
J 9 J 8 J 9	K 10 4 K 5 K 7 6 5 A Q J 7

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

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

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

50.	8 7 Q 3 2 K Q 3 Q J 10 9 8
J 2 J 10 9 8 7 J 10 9 4 3 2		Q 9 5 3 K 5 A 6 5 4 K 6 5
J 10 J 9 J 8	A K 10 6 4 A 6 4 8 7 2 A 7

Simulation 8Z13   Main

Top   Long Suit or Punt IV

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

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

74.	10 4 K 5 Q 8 7 5 3 2 K Q J
J 2 J 10 9 8 7 J 10 9 4 3 2		K Q 9 8 7 3 A Q 3 — 9 8 6 5
J 10 J 8 J 10	A 6 5 6 4 2 A K 6 4 A 10 7

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

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

91.	8 3 Q 6 2 A 8 7 K Q 10 8 6
J 2 J 10 9 8 7 J 10 9 4 3 2		K Q 10 9 7 A 5 Q 6 5 3 7 5
J 8 J 10 J 10	A 6 5 4 K 4 3 K 4 2 A J 9

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

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

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

103.	10 6 5 A 6 4 3 Q 5 3 Q J 7
J 2 J 10 9 8 7 J 10 9 4 3 2		K Q 8 7 4 3 — A 8 6 4 K 9 6
J 8 J 9 J 9	A 9 K Q 5 2 K 7 2 A 10 8 5

Simulation 8Z13   Main

Top   Long Suit or Punt IV

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

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

121.	7 6 4 Q 6 Q 5 4 A Q 10 7 6
J 2 J 10 9 8 7 J 10 9 4 3 2		K 10 5 3 A K 4 2 7 3 2 J 8
J 12 J 8 J 12	A Q 9 8 5 3 A K 8 6 K 9 5

123.	Q 9 3 6 2 K 8 7 5 A J 8 5
J 2 J 10 9 8 7 J 10 9 4 3 2		10 8 6 5 K Q 5 4 A 6 Q 9 7
J 12 J 8 J 11	A K 7 4 A 3 Q 4 3 2 K 10 6

137.	10 5 5 3 K 8 5 2 A K 10 8 6
J 2 J 10 9 8 7 J 10 9 4 3 2		A Q 9 6 4 3 A 4 2 Q 6 3 9
J 8 J 10 J 10	K 8 7 K Q 6 A 7 4 Q J 7 5

149.	8 5 4 A Q 2 K 7 6 5 2 Q 7
J 2 J 10 9 8 7 J 10 9 4 3 2		A Q 10 9 3 4 A 3 J 10 9 8 5
J 8 J 11 J 11	K 7 6 K 6 5 3 Q 8 4 A K 6

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

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

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

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

Simulation 8Z13   Main

Top   Long Suit or Punt IV

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

200.	9 5 3 A 4 A 8 7 6 2 J 10 6
J 2 J 10 9 8 7 J 10 9 4 3 2		A K Q 10 7 4 6 5 2 5 K 7 5
J 7 J 12 J 12	8 6 K Q 3 K Q 4 3 A Q 9 8

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

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

228.	5 4 3 K 5 2 K Q 7 5 4 J 6
J 2 J 10 9 8 7 J 10 9 4 3 2		K Q 10 9 8 6 6 A 3 K 9 8 7
J 8 J 10 J 10	A 7 A Q 4 3 8 6 2 A Q 10 5

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

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

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

259.	6 4 3 6 4 2 Q 7 A K 10 8 5
J 2 J 10 9 8 7 J 10 9 4 3 2		A K Q 9 7 K 3 6 5 4 2 J 9
J 8 J 11 J 11	10 8 5 A Q 5 A K 8 3 Q 7 6

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

Simulation 8Z13   Main

Top   Long Suit or Punt IV

286.	5 4 3 Q 6 2 K 7 2 A J 10 8
J 2 J 10 9 8 7 J 10 9 4 3 2		A 10 9 8 5 A Q 8 5 4 Q 6 5
J 10 J 10 J 7	K Q 7 6 A K 4 3 6 3 K 9 7

296.	K 10 8 2 A Q 8 7 2 10 7 6 5
J 2 J 10 9 8 7 J 10 9 4 3 2		Q 7 6 3 K Q 5 3 K 6 Q 9 8
J 12 J 8 J 11	A 9 5 4 A 6 4 5 4 3 A K J

308.	A 10 5 2 A 8 5 3 J 9 8 7 5
J 2 J 10 9 8 7 J 10 9 4 3 2		Q 8 6 3 K Q 5 4 7 4 2 A Q
J 12 J 8 J 11	K 9 7 4 A 6 3 K Q 6 K 10 6

322.	9 7 6 K Q 8 7 3 A K J 10 9
J 2 J 10 9 8 7 J 10 9 4 3 2		A K 10 8 5 4 4 3 2 Q 4 2 8
J 7 J 10 J 10	Q 3 A 6 5 A K 6 5 Q 7 6 5

330.	7 5 4 6 5 K 6 4 3 A K Q 7
J 2 J 10 9 8 7 J 10 9 4 3 2		A Q 10 9 3 4 3 A 8 2 10 8 6
J 8 J 9 J 9	K 8 6 A K Q 2 Q 7 5 J 9 5

332.	7 6 3 K 3 K Q 4 2 A 8 6 5
J 2 J 10 9 8 7 J 10 9 4 3 2		A K Q 8 5 4 6 5 2 6 5 J 10
J 7 J 11 J 11	10 9 A Q 4 A 8 7 3 K Q 9 7

337.	9 7 3 6 A Q 7 6 4 A Q 10 7
J 2 J 10 9 8 7 J 10 9 4 3 2		A K 10 8 6 4 5 4 8 3 J 6 5
J 7 J 12 J 12	Q 5 A K Q 3 2 K 5 2 K 9 8

340.	4 3 5 4 3 A K 8 5 2 K Q 7
J 2 J 10 9 8 7 J 10 9 4 3 2		A K Q 7 6 5 6 2 3 J 10 9 8
J 7 J 11 J 11	10 9 8 A K Q Q 7 6 4 A 6 5

348.	8 4 Q 5 3 7 6 3 A K 10 9 8
J 2 J 10 9 8 7 J 10 9 4 3 2		A Q 10 9 5 3 K 4 A 5 4 2 5
J 8 J 9 J 10	K 7 6 A 6 2 K Q 8 Q J 7 6

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

Simulation 8Z13   Main

Top   Long Suit or Punt IV

370.	8 6 4 3 Q 6 4 A Q 5 K J 9
J 2 J 10 9 8 7 J 10 9 4 3 2		A Q 10 9 7 5 2 8 7 4 3 A 8
J 8 J 11 J 11	K 5 A K 3 K 6 2 Q 10 7 6 5

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

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

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

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

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

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

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

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

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

Simulation 8Z13   Main

Top   Long Suit or Punt IV

460.	7 6 3 Q 6 5 A K Q 5 J 6 5
J 2 J 10 9 8 7 J 10 9 4 3 2		K Q 9 8 5 4 3 6 4 A 10 9 7
J 8 J 10 J 10	A 10 4 A K 2 8 7 3 2 K Q 8

464.	7 4 3 Q 2 A Q 7 6 5 K 10 5
J 2 J 10 9 8 7 J 10 9 4 3 2		K 8 6 A 6 4 3 K 3 J 9 7 6
J 11 J 8 J 10	A Q 10 9 5 K 5 8 4 2 A Q 8

470.	9 5 4 Q 3 2 K 7 5 4 2 A 7
J 2 J 10 9 8 7 J 10 9 4 3 2		K Q 8 6 3 A 6 Q 8 6 Q 10 9
J 8 J 10 J 10	A 10 7 K 5 4 A 3 K J 8 6 5

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

478.	10 8 3 Q 4 K Q 3 2 A J 9 5
J 2 J 10 9 8 7 J 10 9 4 3 2		A 7 6 5 K 5 3 2 8 4 K 10 6
J 11 J 8 J 11	K Q 9 4 A 6 A 7 6 5 Q 8 7

482.	8 6 4 K 2 Q 8 7 4 3 A K 10
J 2 J 10 9 8 7 J 10 9 4 3 2		Q 9 7 3 A Q 5 3 5 2 Q 8 7
J 12 J 8 J 11	A K 10 5 6 4 A K 6 J 9 6 5

488.	9 6 A 5 2 K Q 6 5 K 10 9 7
J 2 J 10 9 8 7 J 10 9 4 3 2		A K 10 8 5 4 3 4 7 4 2 J 8
J 6 J 11 J 11	Q 7 K Q 6 3 A 8 3 A Q 6 5

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

491.	10 8 5 6 K Q 8 7 3 K J 9 8
J 2 J 10 9 8 7 J 10 9 4 3 2		A Q 3 K Q 5 4 6 2 Q 10 7 5
J 10 J 8 J 10	K 9 7 6 4 A 3 2 A 5 4 A 6

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

Simulation 8Z13   Main

Top   Long Suit or Punt IV

506.	6 4 3 6 2 A Q 6 3 K 10 6 5
J 2 J 10 9 8 7 J 10 9 4 3 2		K 9 7 5 A 3 8 7 5 4 A Q 7
J 9 J 9 J 8	A Q 10 8 K Q 5 4 K 2 J 9 8

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

519.	8 5 3 K Q 3 A K 6 J 8 7 5
J 2 J 10 9 8 7 J 10 9 4 3 2		K Q 10 9 7 A 8 7 5 4 2 10 6
J 8 J 10 J 10	A 6 4 6 5 4 2 Q 3 A K Q 9

524.	10 9 Q 5 3 A 7 6 5 4 2 K Q
J 2 J 10 9 8 7 J 10 9 4 3 2		K Q 8 6 5 A 6 Q 3 10 9 6 5
J 8 J 10 J 10	A 7 4 3 K 4 2 K 8 A J 8 7

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

530.	8 7 3 4 2 A 7 2 K Q J 8 5
J 2 J 10 9 8 7 J 10 9 4 3 2		A K 9 6 5 4 Q 5 Q 8 6 4 7
J 7 J 9 J 9	Q 10 A K 6 3 K 5 3 A 10 9 6

543.	10 5 4 3 A 7 5 4 3 K Q 7 6
J 2 J 10 9 8 7 J 10 9 4 3 2		K 9 8 6 3 A K Q 5 4 8 10 8
J 11 J 8 J 11	A Q 7 6 2 K Q 6 2 A J 9 5

547.	9 8 4 Q A 7 4 2 K 10 9 7 6
J 2 J 10 9 8 7 J 10 9 4 3 2		10 7 6 3 A K 4 3 K Q 8 8 5
J 10 J 8 J 9	A K Q 5 6 5 2 6 5 3 A Q J

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

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

Simulation 8Z13   Main

Top   Long Suit or Punt IV

9991.	10 8 4 A K 6 K 8 3 Q 10 8 7
J 2 J 10 9 8 7 J 10 9 4 3 2		K 9 6 3 Q 3 2 7 5 2 K 6 5
J 12 J 12 J 12	A Q 7 5 5 4 A Q 6 4 A J 9

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

9993.	K 9 6 4 K Q 3 8 6 4 A 9 8
J 2 J 10 9 8 7 J 10 9 4 3 2		Q 8 7 5 4 2 A K 7 2 J 7 6
J 11 J 10 J 10	A 10 3 A 6 5 Q 5 3 K Q 10 5

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

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

9996.	A 9 3 A K Q 8 7 4 J 9 8 7
J 2 J 10 9 8 7 J 10 9 4 3 2		Q 10 8 6 5 4 3 6 5 2 A Q 5
J 12 J 12 J 12	K 7 6 5 4 2 A K Q 3 K 10 6

9997.	8 7 3 A 2 K Q 8 7 6 K 10 5
J 2 J 10 9 8 7 J 10 9 4 3 2		A K 6 4 Q 4 3 5 3 2 J 8 7
J 11 J 11 J 11	Q 10 9 5 K 6 5 A 4 A Q 9 6

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

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

10000.	8 5 3 K 5 A K Q 4 3 2 9 8
J 2 J 10 9 8 7 J 10 9 4 3 2		10 9 7 4 A Q 6 3 7 K 10 6 5
J 13 J 8 J 13	A K Q 6 4 2 8 6 5 A Q J 7

Simulation 8Z13   Main

Top   Long Suit or Punt IV

© 2017 Richard Pavlicek