Simulation 8Z11   Main

Long Suit or Punt II

by Richard Pavlicek

[First read Part I]

Having shown in Part I that it is better to punt (lead a short suit trying to hit partner) with everything else more or less equal, what if that’s not the case. What if the long suit is a safe lead, and the short suit is not? Does this change things? Let’s find out.

Suppose you are West with this hand on the same auction:

10 2 10 9 8 7 6 10 9 8 4 3 2

West Pass

North 3 NT

East All Pass

South 1 NT

Should you lead the 10, 10 or 10? The only difference is having 10-2 instead of 10-9, which means a spade lead could lose a trick in the suit. Which choice do you bet on now?

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.

This was a surprise. While I would always have chosen 10-9 over a heart, I would have rejected the unsafe 10-2; yet results show it is still the better lead. The margin has narrowed somewhat, but it’s still the clear winner, so I learned something: Punt those major doubletons! Does this superiority extend to situations that are extremely unsafe? I wonder, so on to Part III.

Results for 10,000 Deals

Lead	Trick Avg	Make Pct	Matchpoints	Nonvul TPs	Nonvul IMPs	Vul TPs	Vul IMPs
10	10.126	87.54	18867 47.17	394780 34.42	9406 35.95	562980 33.33	10774 35.33
10	10.259	91.85	20173 50.43	615870 53.70	13917 53.18	916620 54.26	16333 53.57
10	10.314	93.10	20960 52.40	709670 61.88	15928 60.87	1054220 62.41	18630 61.10

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 9CB7163D 10000

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

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

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

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

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

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

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

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

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

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

Simulation 8Z11   Main

Top   Long Suit or Punt II

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

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

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

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

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

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

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

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

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

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

Simulation 8Z11   Main

Top   Long Suit or Punt II

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

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

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

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

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

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

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

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

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

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

Simulation 8Z11   Main

Top   Long Suit or Punt II

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

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

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

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

272.	9 8 7 Q J 2 K 6 5 K 9 7 5
10 2 10 9 8 7 6 10 9 8 4 3 2		A Q J 5 5 4 3 A Q J 3 8 6
10 9 10 9 10 8	K 6 4 3 A K 7 4 2 A Q J 10

299.	8 4 Q 4 3 K Q 7 6 Q 10 9 8
10 2 10 9 8 7 6 10 9 8 4 3 2		A J 9 6 5 A 5 A 5 3 K 7 5
10 8 10 10 10 10	K Q 7 3 K J 2 J 4 2 A J 6

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

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

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

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

Simulation 8Z11   Main

Top   Long Suit or Punt II

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

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

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

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

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

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

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

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

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

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

Simulation 8Z11   Main

Top   Long Suit or Punt II

441.	9 5 4 Q 4 3 2 Q 7 4 A J 6
10 2 10 9 8 7 6 10 9 8 4 3 2		Q J 8 6 3 A J K J 3 K 10 8
10 8 10 9 10 7	A K 7 K 5 A 6 5 2 Q 9 7 5

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

452.	9 8 3 K J 3 2 J 3 2 K J 7
10 2 10 9 8 7 6 10 9 8 4 3 2		A K J 6 5 A Q 7 6 5 4 Q 10
10 8 10 10 10 10	Q 7 4 Q 5 4 A K A 9 8 6 5

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

462.	8 4 3 K Q J J 7 6 K Q 8 6
10 2 10 9 8 7 6 10 9 8 4 3 2		K Q J 9 6 5 2 A 2 J 10 9 5
10 8 10 11 10 11	A 7 5 A 4 3 K Q 5 4 3 A 7

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

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

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

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

481.	6 4 Q 3 A 6 3 K Q 10 8 6 5
10 2 10 9 8 7 6 10 9 8 4 3 2		J 9 7 5 3 A K J 4 K Q 5 2 —
10 11 10 8 10 11	A K Q 8 5 2 J 7 4 A J 9 7

Simulation 8Z11   Main

Top   Long Suit or Punt II

484.	8 6 3 A J Q J 6 2 K 10 9 7
10 2 10 9 8 7 6 10 9 8 4 3 2		A J 9 5 4 Q 3 2 A K 8 6 5
10 8 10 9 10 10	K Q 7 K 5 4 7 5 4 3 A Q J

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

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

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

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

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

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

518.	8 7 6 K J Q 6 4 K Q 10 8 5
10 2 10 9 8 7 6 10 9 8 4 3 2		J 9 5 3 4 2 A K J 3 A J 6
10 9 10 9 10 8	A K Q 4 A Q 5 3 7 5 2 9 7

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

541.	8 7 3 4 3 A K J 6 5 A 10 5
10 2 10 9 8 7 6 10 9 8 4 3 2		Q J 6 5 4 A K 5 2 4 J 8 6
10 12 10 8 10 12	A K 9 Q J Q 7 3 2 K Q 9 7

Simulation 8Z11   Main

Top   Long Suit or Punt II

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

564.	6 5 4 A K 5 4 4 3 2 A J 9
10 2 10 9 8 7 6 10 9 8 4 3 2		J 9 8 7 — A K Q J 5 Q 8 7 5
10 10 10 10 10 8	A K Q 3 Q J 3 2 7 6 K 10 6

568.	8 5 4 5 2 A K 5 K J 10 6 5
10 2 10 9 8 7 6 10 9 8 4 3 2		K J 3 A J 4 3 J 7 6 4 A 9
10 10 10 8 10 10	A Q 9 7 6 K Q Q 3 2 Q 8 7

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

573.	5 4 A 5 3 Q 7 3 2 Q J 9 5
10 2 10 9 8 7 6 10 9 8 4 3 2		A K J 9 8 7 K J 4 A 8 7 6
10 8 10 9 10 10	Q 6 3 Q 4 2 A K J 6 5 K 10

578.	8 7 Q 4 3 K Q 6 5 K 9 8 6
10 2 10 9 8 7 6 10 9 8 4 3 2		A Q 9 4 3 5 2 A 7 A 10 7 5
10 8 10 10 10 10	K J 6 5 A K J J 4 3 2 Q J

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

583.	6 A K 2 K J 7 6 4 J 8 6 5
10 2 10 9 8 7 6 10 9 8 4 3 2		A Q J 8 7 5 5 4 Q 5 2 A 7
10 7 10 10 10 9	K 9 4 3 Q J 3 A 3 K Q 10 9

585.	7 6 4 Q 3 A Q 3 2 J 10 9 7
10 2 10 9 8 7 6 10 9 8 4 3 2		A K Q J 8 5 K 5 4 J 7 5 6
10 7 10 11 10 11	9 3 A J 2 K 6 4 A K Q 8 5

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

Simulation 8Z11   Main

Top   Long Suit or Punt II

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

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

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

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

621.	7 6 4 K 3 2 J 5 A Q 10 9 5
10 2 10 9 8 7 6 10 9 8 4 3 2		K Q J 9 8 3 A 4 K 6 3 8 6
10 8 10 10 10 10	A 5 Q J 5 A Q 7 4 2 K J 7

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

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

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

639.	8 5 3 K 5 4 J 6 5 2 A Q 7
10 2 10 9 8 7 6 10 9 8 4 3 2		K Q J 7 4 2 A Q 7 J 10 6 5
10 8 10 9 10 9	A 9 6 A Q J 3 K 4 3 K 9 8

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

Simulation 8Z11   Main

Top   Long Suit or Punt II

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

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

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

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

9995.	8 7 3 4 A K 4 3 K Q 8 6 5
10 2 10 9 8 7 6 10 9 8 4 3 2		K 6 5 K Q J 2 Q J 6 J 10 9
10 13 10 13 10 13	A Q J 9 4 A 5 3 7 5 2 A 7

9996.	K Q 5 A 5 K J 6 5 2 10 7 6
10 2 10 9 8 7 6 10 9 8 4 3 2		J 9 7 6 4 J 4 2 A Q 3 Q J
10 11 10 11 10 11	A 8 3 K Q 3 7 4 A K 9 8 5

9997.	6 3 J 2 A 7 4 A K 10 9 7 6
10 2 10 9 8 7 6 10 9 8 4 3 2		A J 9 5 4 Q 3 Q J 6 5 J 8
10 12 10 12 10 12	K Q 8 7 A K 5 4 K 3 2 Q 5

9998.	8 7 3 Q J 4 K Q J 2 K 8 6
10 2 10 9 8 7 6 10 9 8 4 3 2		A Q J 9 6 5 A 2 6 3 10 9 7
10 9 10 11 10 11	K 4 K 5 3 A 7 5 4 A Q J 5

9999.	Q 8 6 K 5 4 3 Q 7 2 A Q 6
10 2 10 9 8 7 6 10 9 8 4 3 2		J 9 5 4 Q J A 6 5 3 K 9 5
10 11 10 10 10 10	A K 7 3 A 2 K J 4 J 10 8 7

10000.	A J 8 K J Q J 7 5 3 J 10 5
10 2 10 9 8 7 6 10 9 8 4 3 2		K 7 6 5 3 3 K 6 K Q 9 7 6
10 11 10 11 10 11	Q 9 4 A Q 5 4 2 A 4 2 A 8

Simulation 8Z11   Main

Top   Long Suit or Punt II

© 2017 Richard Pavlicek