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ACBL Unit 159 Sectionals and Events
1:30 ♦ Open Pairs
Sunday, March 6, 2022

Photo Gallery of Winners | GIB | PBN | Hand Records

Event: Sunday Afternoon Pairs

Session: Sunday Aft

Movement: ONE WINNER

Date: March 6, 2022

Rating: Club Masterpoint

Section: A

Club No: 194332

Club: Sun City BC

Dir: Robert Craig

MP Limits: None/4000

Average: 10

Top: 1

Field strength: Mean: 4668 MP
Geomean: 3540 MP
(based on 10 players)

 

Overall

Section

 

 

Name

Name

No

Flt

A

B

A

B

Score

Result

Points

1

Herbert Woods Jr

Catherine Tompkins

3

B

1

-

1

1

12.50

62.50

0.50

2

Ella Duncan

Gerald Sullivan

6

B

2

-

2

-

10.50

52.50

0.35

3

R Liguori

Donald Klenke

2

B

3

-

-

-

9.50

47.50

4

Peggy Craig

Robert Craig

1

A

-

-

9.00

45.00

5

Barbara Harrid

Chuck Duke

4

A

-

-

8.50

42.50

5 pairs - Pairs in strats: A=5 / B=3
Click on a result to see the recap for this pair.

You can move from board to board by using the arrow keys on your keyboard.

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1

2

3

4

5

6

7

8

9

10

11

12

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14

15

16

17

18

19

20

21

22

23

24

25

Next Board

1 ♠A96
♥Q7653
♦63
♣Q54

Dlr: North
Vul: None
♠8
♥AJT92
♦KJ2
♣K832
 ♠QJT75
♥84
♦97
♣AT97
♠K432
♥K
♦AQT854
♣J6
8
127
13

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

4

8

5

5

5

South

4

7

5

5

5

East

9

5

8

7

8

West

9

5

8

7

8

LoTT: 17 - 16 = 1
Par: -100 3D*-N-1

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

 

50

1.00

0.00

2♦

S

-1

-

6-Duncan-Sullivan

1-Craig-Craig

 

150

0.00

1.00

2N

W

3

-1

4-Harrid-Duke

2-Liguori-Klenke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
2 ♠T74
♥A762
♦Q653
♣Q4

Dlr: East 
Vul: N-S
♠QJ986
♥954
♦87
♣J96
 ♠K52
♥JT8
♦KJT
♣T752
♠A3
♥KQ3
♦A942
♣AK83
8
48
20

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

9

10

10

8

9

South

10

10

10

8

9

East

3

2

3

5

3

West

3

2

3

5

3

LoTT: 15 - 16 = -1
Par: 620 4H-NS

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

630

 

0.50

0.50

3N

S

4

+1

6-Duncan-Sullivan

1-Craig-Craig

630

 

0.50

0.50

3N

S

4

+1

4-Harrid-Duke

2-Liguori-Klenke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
3 ♠A875
♥AKJT65
♦6
♣J2

Dlr: South
Vul: E-W
♠QJ63
♥2
♦J43
♣Q9874
 ♠T42
♥Q83
♦QT9
♣AT65
♠K9
♥974
♦AK8752
♣K3
13
68
13

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

6

10

11

8

8

South

6

10

11

8

8

East

5

3

1

5

3

West

5

3

1

5

3

LoTT: 16 - 18 = -2
Par: 450 5H-NS

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

480

 

1.00

0.00

4♥

N

6

+1

4-Harrid-Duke

2-Liguori-Klenke

420

 

0.00

1.00

4♥

N

4

-1

6-Duncan-Sullivan

1-Craig-Craig

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
4 ♠Q86
♥AQT652
♦KT
♣J4

Dlr: West
Vul: Both
♠K543
♥K9
♦A654
♣A86
 ♠AJT
♥-
♦98732
♣QT532
♠972
♥J8743
♦QJ
♣K97
12
147
7

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

2

2

7

2

6

South

2

2

7

3

6

East

11

11

6

10

6

West

11

11

6

10

7

LoTT: 18 - 20 = -2
Par: -620 4S-EW

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

 

200

1.00

0.00

2♠

E

5

-1

6-Duncan-Sullivan

1-Craig-Craig

 

600

0.00

1.00

5♦

W

5

-

4-Harrid-Duke

2-Liguori-Klenke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
5 ♠J872
♥8
♦AKJ954
♣QT

Dlr: North
Vul: N-S
♠3
♥AKQJ32
♦732
♣K87
 ♠A96
♥T976
♦6
♣J9543
♠KQT54
♥54
♦QT8
♣A62
11
135
11

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

3

9

2

10

6

South

3

9

2

10

6

East

10

2

10

2

6

West

10

2

10

2

6

LoTT: 20 - 19 = 1
Par: 100 5H*-EW-1/5C*-EW-1

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

650

 

1.00

0.00

5♠

S

5

+1

4-Harrid-Duke

2-Liguori-Klenke

 

650

0.00

1.00

5♥*

W

5

-1

6-Duncan-Sullivan

1-Craig-Craig

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
6 ♠7653
♥42
♦Q987
♣865

Dlr: East 
Vul: E-W
♠K98
♥AKQT85
♦K3
♣J3
 ♠2
♥J976
♦JT64
♣KQ92
♠AQJT4
♥3
♦A52
♣AT74
2
167
15

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

6

6

3

8

4

South

5

6

3

8

4

East

7

7

10

5

7

West

7

7

10

5

7

LoTT: 18 - 19 = -1
Par: -300 4S*-NS-2

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

 

100

1.00

0.00

4♠

N

-2

-

4-Harrid-Duke

3-Woods Jr-Tompkins

 

300

0.00

1.00

4♠*

S

-2

-

6-Duncan-Sullivan

2-Liguori-Klenke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
7 ♠T83
♥JT862
♦64
♣Q64

Dlr: South
Vul: Both
♠Q952
♥9543
♦A32
♣K2
 ♠J764
♥KQ7
♦J985
♣85
♠AK
♥A
♦KQT7
♣AJT973
3
97
21

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

11

9

8

6

9

South

11

9

8

6

9

East

2

4

5

7

4

West

2

4

5

6

4

LoTT: 18 - 17 = 1
Par: 600 3N-NS/5C-NS

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

600

 

1.00

0.00

3N

S

3

-

6-Duncan-Sullivan

2-Liguori-Klenke

150

 

0.00

1.00

1♣

S

5

-

4-Harrid-Duke

3-Woods Jr-Tompkins

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
8 ♠J9642
♥9
♦AT986
♣T5

Dlr: West
Vul: None
♠K
♥5
♦QJ53
♣KJ96432
 ♠AQ5
♥T6432
♦K
♣AQ87
♠T873
♥AKQJ87
♦742
♣-
5
1015
10

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

1

7

7

9

3

South

1

7

7

9

3

East

11

5

6

3

8

West

11

5

6

3

8

LoTT: 20 - 20 = 0
Par: -300 5S*-NS-2

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

50

 

1.00

0.00

3N

E

-1

-

6-Duncan-Sullivan

2-Liguori-Klenke

 

430

0.00

1.00

3N

E

4

-2

4-Harrid-Duke

3-Woods Jr-Tompkins

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
9 ♠Q6
♥732
♦J943
♣AJT7

Dlr: North
Vul: E-W
♠KJ3
♥JT
♦865
♣98542
 ♠98752
♥A854
♦Q
♣Q63
♠AT4
♥KQ96
♦AKT72
♣K
8
58
19

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

8

12

10

8

11

South

8

12

10

8

11

East

4

1

2

4

2

West

4

1

2

4

2

LoTT: 16 - 17 = -1
Par: 920 6D-NS

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

460

 

1.00

0.00

3N

S

5

-

6-Duncan-Sullivan

2-Liguori-Klenke

420

 

0.00

1.00

5♦

S

6

-

4-Harrid-Duke

3-Woods Jr-Tompkins

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
10 ♠QJ2
♥AKT873
♦32
♣K6

Dlr: East 
Vul: Both
♠K98643
♥64
♦AQ
♣Q43
 ♠75
♥Q92
♦54
♣A98752
♠AT
♥J5
♦KJT9876
♣JT
13
116
10

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

4

9

8

6

5

South

4

9

8

6

5

East

9

4

5

7

6

West

9

4

5

7

6

LoTT: 18 - 18 = 0
Par: 110 3D-NS

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

 

200

1.00

0.00

4♥

N

-2

-

6-Duncan-Sullivan

2-Liguori-Klenke

 

300

0.00

1.00

5♥

N

-3

-

4-Harrid-Duke

3-Woods Jr-Tompkins

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
11 ♠KT864
♥Q9
♦KT754
♣6

Dlr: South
Vul: None
♠7
♥KT73
♦Q832
♣T875
 ♠92
♥AJ862
♦A6
♣K943
♠AQJ53
♥54
♦J9
♣AQJ2
8
512
15

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

6

9

5

10

7

South

6

9

5

10

7

East

7

4

8

2

5

West

7

3

7

2

5

LoTT: 18 - 19 = -1
Par: 420 4S-NS

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

420

 

1.00

0.00

4♠

S

4

-

2-Liguori-Klenke

1-Craig-Craig

 

100

0.00

1.00

4♠

S

-2

-2

6-Duncan-Sullivan

3-Woods Jr-Tompkins

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
12 ♠A54
♥K8632
♦853
♣T7

Dlr: West
Vul: N-S
♠62
♥AT9
♦Q974
♣QJ93
 ♠KT8
♥QJ5
♦T2
♣A8542
♠QJ973
♥74
♦AKJ6
♣K6
7
910
14

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

5

8

8

8

7

South

5

8

8

9

7

East

8

5

4

4

6

West

8

5

5

4

6

LoTT: 17 - 17 = 0
Par: 140 3S-S

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

110

 

0.50

0.50

2♠

S

2

-1

6-Duncan-Sullivan

3-Woods Jr-Tompkins

110

 

0.50

0.50

1♠

S

2

-1

2-Liguori-Klenke

1-Craig-Craig

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
13 ♠QJ876
♥K53
♦AKT4
♣J

Dlr: North
Vul: Both
♠54
♥A
♦9765
♣T98732
 ♠A2
♥8642
♦Q83
♣AKQ5
♠KT93
♥QJT97
♦J2
♣64
14
415
7

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

3

5

10

9

5

South

3

6

10

9

5

East

9

6

3

4

8

West

9

6

3

4

8

LoTT: 18 - 19 = -1
Par: 500 4N*-EW-2

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

620

 

1.00

0.00

4♠

N

4

+1

2-Liguori-Klenke

1-Craig-Craig

170

 

0.00

1.00

3♠

N

4

+1

6-Duncan-Sullivan

3-Woods Jr-Tompkins

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
14 ♠KQT5
♥854
♦KJT43
♣K

Dlr: East 
Vul: None
♠J3
♥T732
♦A752
♣A98
 ♠9764
♥KQJ6
♦Q98
♣J3
♠A82
♥A9
♦6
♣QT76542
12
99
10

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

10

8

6

9

7

South

10

8

6

9

7

East

2

5

7

4

2

West

2

5

7

4

2

LoTT: 17 - 16 = 1
Par: 140 3S-NS

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

130

 

1.00

0.00

4♣

S

4

-

6-Duncan-Sullivan

3-Woods Jr-Tompkins

 

50

0.00

1.00

4♣

S

-1

-1

2-Liguori-Klenke

1-Craig-Craig

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
15 ♠QJT9732
♥7
♦T9
♣A52

Dlr: South
Vul: N-S
♠4
♥AQT98
♦QJ82
♣QT7
 ♠A86
♥K3
♦AK75
♣9643
♠K5
♥J6542
♦643
♣KJ8
7
1114
8

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

3

2

3

8

4

South

3

2

3

8

4

East

9

11

9

5

9

West

9

11

9

5

9

LoTT: 19 - 17 = 2
Par: -400 3N-EW/5D-EW

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

 

420

1.00

0.00

4♥

W

4

-1

2-Liguori-Klenke

1-Craig-Craig

 

430

0.00

1.00

3N

W

4

-1

6-Duncan-Sullivan

3-Woods Jr-Tompkins

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
16 ♠AQJ65
♥AQ
♦875
♣643

Dlr: West
Vul: E-W
♠T87
♥KJ873
♦AK2
♣Q5
 ♠93
♥54
♦QT643
♣AKT9
♠K42
♥T962
♦J9
♣J872
13
139
5

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

5

4

5

7

5

South

4

4

4

7

4

East

7

9

8

5

6

West

8

9

8

5

6

LoTT: 16 - 16 = 0
Par: -110 3D-EW

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

 

100

1.00

0.00

3♠

N

-2

-

6-Duncan-Sullivan

4-Harrid-Duke

 

110

0.00

1.00

3♦

W

3

-

3-Woods Jr-Tompkins

1-Craig-Craig

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
17 ♠J862
♥QT93
♦872
♣A3

Dlr: North
Vul: None
♠AQ3
♥AJ7
♦AK
♣JT754
 ♠95
♥852
♦T943
♣Q862
♠KT74
♥K64
♦QJ65
♣K9
7
192
12

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

4

7

7

8

5

South

4

7

6

8

5

East

9

6

6

5

8

West

9

6

6

5

8

LoTT: 17 - 17 = 0
Par: -100 3S*-NS-1

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

 

120

0.50

0.50

1N

W

2

-

3-Woods Jr-Tompkins

1-Craig-Craig

 

120

0.50

0.50

2N

W

2

-

6-Duncan-Sullivan

4-Harrid-Duke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
18 ♠Q7
♥872
♦A42
♣JT983

Dlr: East 
Vul: N-S
♠AKJT94
♥AJ4
♦95
♣AQ
 ♠8532
♥Q5
♦KT76
♣K75
♠6
♥KT963
♦QJ83
♣642
7
198
6

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

5

4

5

1

1

South

5

4

5

1

1

East

8

9

7

12

12

West

8

9

7

12

12

LoTT: 17 - 18 = -1
Par: -990 6N-EW

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

 

480

1.00

0.00

4♠

E

6

-

3-Woods Jr-Tompkins

1-Craig-Craig

 

510

0.00

1.00

4♠

W

7

-1

6-Duncan-Sullivan

4-Harrid-Duke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
19 ♠AQ5
♥J9
♦Q9872
♣J42

Dlr: South
Vul: E-W
♠JT64
♥K742
♦63
♣Q97
 ♠K98
♥83
♦AJT54
♣K86
♠732
♥AQT65
♦K
♣AT53
10
611
13

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

7

6

7

6

7

South

7

6

8

6

7

East

5

7

5

7

6

West

5

7

5

7

6

LoTT: 15 - 14 = 1
Par: 110 2H-S

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

 

50

0.50

0.50

2♥

S

-1

-1

3-Woods Jr-Tompkins

1-Craig-Craig

 

50

0.50

0.50

3N

S

-1

+1

6-Duncan-Sullivan

4-Harrid-Duke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
20 ♠J65
♥A92
♦A8543
♣43

Dlr: West
Vul: Both
♠AK73
♥KT7
♦2
♣AKQ98
 ♠Q8
♥Q853
♦QT7
♣JT52
♠T942
♥J64
♦KJ96
♣76
9
197
5

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

2

6

2

4

5

South

2

6

2

4

5

East

11

7

10

9

7

West

11

7

10

9

7

LoTT: 17 - 18 = -1
Par: -620 4H-EW

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

200

 

0.50

0.50

3N

E

-2

-

3-Woods Jr-Tompkins

1-Craig-Craig

200

 

0.50

0.50

3♠

E

-2

+2

6-Duncan-Sullivan

4-Harrid-Duke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
21 ♠J93
♥Q743
♦964
♣A43

Dlr: North
Vul: N-S
♠A87
♥862
♦J752
♣KQ6
 ♠K62
♥J9
♦AQT
♣JT752
♠QT54
♥AKT5
♦K83
♣98
7
1011
12

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

4

5

8

7

6

South

4

5

8

7

6

East

8

7

5

5

7

West

8

7

5

5

7

LoTT: 16 - 16 = 0
Par: 100 2N*-EW-1/2D*-EW-1

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

50

 

1.00

0.00

3♣

E

-1

-

3-Woods Jr-Tompkins

2-Liguori-Klenke

 

180

0.00

1.00

1N*

E

1

-

1-Craig-Craig

4-Harrid-Duke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
22 ♠KQ863
♥J965
♦9
♣AK7

Dlr: East 
Vul: E-W
♠7542
♥T7
♦J86542
♣3
 ♠T9
♥AKQ42
♦QT7
♣Q52
♠AJ
♥83
♦AK3
♣JT9864
13
113
13

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

10

6

8

10

9

South

10

6

8

10

9

East

2

6

5

3

3

West

2

6

5

3

3

LoTT: 16 - 18 = -2
Par: 420 4S-NS

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

130

 

1.00

0.00

3♣

S

4

-

3-Woods Jr-Tompkins

2-Liguori-Klenke

 

50

0.00

1.00

4♠

N

-1

-1

1-Craig-Craig

4-Harrid-Duke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
23 ♠T64
♥AJ65
♦T5
♣A962

Dlr: South
Vul: Both
♠872
♥KQT93
♦Q6
♣KT8
 ♠Q3
♥74
♦AKJ97
♣Q753
♠AKJ95
♥82
♦8432
♣J4
9
1012
9

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

6

4

6

8

7

South

5

4

6

8

7

East

7

8

7

5

6

West

7

9

7

5

6

LoTT: 17 - 15 = 2
Par: -110 3D-E

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

200

 

1.00

0.00

1N

E

-2

+1

1-Craig-Craig

4-Harrid-Duke

Pass

0.00

1.00

Pass Out 

-

3-Woods Jr-Tompkins

2-Liguori-Klenke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
24 ♠65
♥J97654
♦8
♣K943

Dlr: West
Vul: None
♠8432
♥T2
♦JT76
♣QJ8
 ♠QJT9
♥3
♦AKQ432
♣72
♠AK7
♥AKQ8
♦95
♣AT65
4
412
20

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

11

5

11

5

7

South

11

5

11

5

7

East

2

7

2

7

3

West

2

7

2

7

3

LoTT: 18 - 20 = -2
Par: 450 5H-NS

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

450

 

0.50

0.50

5♥

N

5

-

3-Woods Jr-Tompkins

2-Liguori-Klenke

450

 

0.50

0.50

5♥

S

5

-

1-Craig-Craig

4-Harrid-Duke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
25 ♠QT7
♥AJ942
♦32
♣932

Dlr: North
Vul: E-W
♠K952
♥Q7
♦AK9
♣AQJ8
 ♠A3
♥T53
♦Q864
♣KT75
♠J864
♥K86
♦JT75
♣64
7
199
5

Double Dummy Makes

 

♣

♦

♥

♠

NT

North

2

3

6

4

3

South

2

3

6

4

3

East

11

10

7

8

8

West

11

10

7

8

8

LoTT: 17 - 16 = 1
Par: -600 5C-EW

N-S

E-W

N-S

E-W

Contract

ETF

N-S

E-W

100

 

1.00

0.00

3N

W

-1

-

1-Craig-Craig

4-Harrid-Duke

 

150

0.00

1.00

3♣

W

5

-

3-Woods Jr-Tompkins

2-Liguori-Klenke

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.