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ACBL Unit 380 - Las Cruces
12:30 ♦ Open Pairs
Friday, May 6, 2016

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Event: Friday Afternoon Pairs	Session: Friday Aft	Movement: MITCHELL
Date: May 6, 2016	Rating: Club Masterpoint	Section: A
Club No: 200378	Club: Acey-Deucy Club	Dir: Linda Spengler
MP Limits: None/1500/300	Average: 108	Top: 8

Field strength: Mean: 944 MP
Geomean: 568 MP
(based on 38 players)

Both Directions Grouped - Pairs in strats: A=19 / B=15 / C=2

Split by Direction

Section

A

B

C

E-W

10

B

1

1

124.79

1.00

Kathleen Kryway

E-W

3

B

2

2

122.02

0.70

N-S

1

A

1

121.58

1.00

N-S

6

A

2

121.09

0.70

Barbara Caywood

N-S

9

B

3

1

120.90

0.56

Sharyn Shropshire

E-W

9

B

3

3

119.61

0.50

N-S

2

B

4

2

117.71

0.39

Richard Anderson

E-W

4

C

4

-

-

117.51

0.35

Larry Gioannini

Ellen Schneider

E-W

7

B

-

-

116.75

N-S

4

B

-

3

114.23

0.28

N-S

8

C

-

-

-

111.95

E-W

6

B

-

-

109.17

E-W

1

A

-

98.53

Marion Shropshire

E-W

5

A

-

97.28

E-W

8

B

-

-

90.23

William Smithers

N-S

7

B

-

-

88.70

N-S

3

B

-

-

88.15

Billie Edington

N-S

10

B

-

-

87.90

Patricia Hackler

E-W

2

B

-

-

82.28

19 pairs - Pairs in strats: A=19 / B=15 / C=2
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.
		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30

1

♠T432
♥Q94
♦97
♣KJ65

Dlr: North
Vul: None

♠876
♥K53
♦JT3
♣AQT9

♠AQJ
♥T876
♦AK8642
♣-

♠K95
♥AJ2
♦Q5
♣87432

	6
10		14
	10

Double Dummy Makes

	♣	♦	♥	♠	NT
North	6	3	3	6	3
South	6	2	3	5	3
East	7	10	10	7	9
West	7	10	10	7	10

LoTT: 16 - 18 = -2
Par: -430 4N-E

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
50		7.94	0.06	2♥	E	-1	+3	6-Gose-Liner	10-Allen-Oates
	130	6.25	1.75	2♦	E	4	-	7-Holliday-Smithers	3-Unglaub-Kryway
	130	6.25	1.75	3♦	E	4	-	4-Dunkel-Gilbert	6-Randall-Randall
	150	3.44	4.56	2♦	E	5	-1	1-Applebaum-Hiss	1-Lerdal-McMillin
	150	3.44	4.56	3♦	E	5	-1	8-Resch-Rooney	5-Lindeman-Shropshire
	150	3.44	4.56	3♦	E	5	-1	3-McQuaid-Francis	4-Mercurio-Anderson
	180	1.19	6.81	2N	W	4	-	10-Edington-Gordon	9-Sanchez-Shropshire
	400	0.06	7.94	3N	W	3	+1	9-Colson-Caywood	7-Gioannini-Schneider

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

2

♠K76
♥QJT542
♦-
♣KQ65

Dlr: East
Vul: N-S

♠QT84
♥9
♦AKJT86
♣93

♠J952
♥763
♦75
♣AT42

♠A3
♥AK8
♦Q9432
♣J87

	11
10		5
	14

Double Dummy Makes

	♣	♦	♥	♠	NT
North	10	5	11	6	8
South	10	6	11	6	9
East	2	7	1	7	4
West	2	7	2	7	4

LoTT: 18 - 17 = 1
Par: 650 5H-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
680		7.38	0.63	4♥	N	6	+1	6-Gose-Liner	10-Allen-Oates
680		7.38	0.63	4♥	N	6	+1	4-Dunkel-Gilbert	6-Randall-Randall
650		4.56	3.44	4♥	N	5	-	1-Applebaum-Hiss	1-Lerdal-McMillin
650		4.56	3.44	4♥	N	5	-	9-Colson-Caywood	7-Gioannini-Schneider
650		4.56	3.44	4♥	N	5	-	8-Resch-Rooney	5-Lindeman-Shropshire
620		2.31	5.69	4♥	N	4	-1	3-McQuaid-Francis	4-Mercurio-Anderson
600		1.19	6.81	3N	N	3	+1	10-Edington-Gordon	9-Sanchez-Shropshire
200		0.06	7.94	5♠	E	-4	-	7-Holliday-Smithers	3-Unglaub-Kryway

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

3

♠JT87
♥J76
♦J8
♣AJ86

Dlr: South
Vul: E-W

♠A
♥T983
♦AQ62
♣Q432

♠Q6543
♥Q2
♦KT94
♣95

♠K92
♥AK54
♦753
♣KT7

	8
12		7
	13

Double Dummy Makes

	♣	♦	♥	♠	NT
North	8	4	8	8	8
South	8	4	8	8	8
East	5	8	5	5	5
West	5	8	5	5	5

LoTT: 16 - 15 = 1
Par: 120 2N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
120		7.94	0.06	1N	S	2	-	1-Applebaum-Hiss	1-Lerdal-McMillin
90		6.81	1.19	1N	S	1	-1	8-Resch-Rooney	5-Lindeman-Shropshire
80		5.69	2.31	1♠	S	1	-1	4-Dunkel-Gilbert	6-Randall-Randall
	50	4.56	3.44	3♠	S	-1	-	3-McQuaid-Francis	4-Mercurio-Anderson
	100	2.31	5.69	3♣	S	-2	-1	10-Edington-Gordon	9-Sanchez-Shropshire
	100	2.31	5.69	2♠*	N	-1	-1	9-Colson-Caywood	7-Gioannini-Schneider
	100	2.31	5.69	2♥	S	-2	-2	7-Holliday-Smithers	3-Unglaub-Kryway
	110	0.06	7.94	3♦	E	3	-1	6-Gose-Liner	10-Allen-Oates

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

4

♠A53
♥KQJ8764
♦K5
♣6

Dlr: West
Vul: Both

♠KQJ8
♥32
♦QJ72
♣K75

♠T976
♥T9
♦A863
♣Q94

♠42
♥A5
♦T94
♣AJT832

	13
12		6
	9

Double Dummy Makes

	♣	♦	♥	♠	NT
North	8	6	10	7	9
South	8	6	10	7	9
East	5	7	3	6	4
West	5	7	3	6	4

LoTT: 17 - 17 = 0
Par: 620 4H-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
650		7.94	0.06	4♥	N	5	+1	10-Edington-Gordon	8-Rohr-Benjamins
620		6.25	1.75	4♥	N	4	-	6-Gose-Liner	9-Sanchez-Shropshire
620		6.25	1.75	4♥	N	4	-	4-Dunkel-Gilbert	5-Lindeman-Shropshire
200		4.56	3.44	3♥	N	5	+1	9-Colson-Caywood	6-Randall-Randall
170		2.31	5.69	3♥	N	4	-	2-Peale-Binning	2-McCoy-Hackler
170		2.31	5.69	3♥	N	4	-	8-Resch-Rooney	4-Mercurio-Anderson
170		2.31	5.69	3♥	N	4	-	7-Holliday-Smithers	1-Lerdal-McMillin
	100	0.06	7.94	5♥	N	-1	-	1-Applebaum-Hiss	10-Allen-Oates

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

5

♠J85
♥8732
♦76
♣AQJ5

Dlr: North
Vul: N-S

♠K976
♥A5
♦QJ
♣76432

♠T4
♥KQT6
♦AKT943
♣9

♠AQ32
♥J94
♦852
♣KT8

	8
10		12
	10

Double Dummy Makes

	♣	♦	♥	♠	NT
North	6	2	3	6	3
South	6	2	3	6	3
East	7	11	8	7	8
West	7	11	8	7	8

LoTT: 17 - 15 = 2
Par: -400 5D-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	150	4.56	3.44	3♦	E	5	-	2-Peale-Binning	2-McCoy-Hackler
	150	4.56	3.44	2♦	E	5	-	10-Edington-Gordon	8-Rohr-Benjamins
	150	4.56	3.44	2♦	E	5	-	9-Colson-Caywood	6-Randall-Randall
	150	4.56	3.44	2♦	E	5	-	8-Resch-Rooney	4-Mercurio-Anderson
	150	4.56	3.44	2♦	E	5	-	7-Holliday-Smithers	1-Lerdal-McMillin
	150	4.56	3.44	2♦	E	5	-	6-Gose-Liner	9-Sanchez-Shropshire
	150	4.56	3.44	2♦	E	5	-	4-Dunkel-Gilbert	5-Lindeman-Shropshire
	430	0.06	7.94	3N	E	4	-2	1-Applebaum-Hiss	10-Allen-Oates

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

6

♠AQ5
♥965
♦K94
♣9754

Dlr: East
Vul: E-W

♠J972
♥KQJ2
♦T
♣AJ32

♠KT84
♥T74
♦83
♣QT86

♠63
♥A83
♦AQJ7652
♣K

	9
12		5
	14

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	9	4	4	9
South	3	9	4	3	9
East	10	4	8	9	4
West	10	4	8	9	4

LoTT: 19 - 18 = 1
Par: 200 4S*-EW-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
130		7.38	0.63	4♦	S	4	+1	9-Colson-Caywood	6-Randall-Randall
130		7.38	0.63	2♦	S	4	+1	6-Gose-Liner	9-Sanchez-Shropshire
110		4.56	3.44	2♦	S	3	-	1-Applebaum-Hiss	10-Allen-Oates
110		4.56	3.44	3♦	S	3	-	7-Holliday-Smithers	1-Lerdal-McMillin
110		4.56	3.44	3♦	S	3	-	4-Dunkel-Gilbert	5-Lindeman-Shropshire
	50	1.75	6.25	4♦	S	-1	-	2-Peale-Binning	2-McCoy-Hackler
	50	1.75	6.25	4♦	S	-1	-	8-Resch-Rooney	4-Mercurio-Anderson
	100	0.06	7.94	5♦	S	-2	-	10-Edington-Gordon	8-Rohr-Benjamins

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

7

♠952
♥QT952
♦7
♣AT96

Dlr: South
Vul: Both

♠AKJ
♥J
♦8654
♣K8754

♠Q643
♥A76
♦932
♣Q32

♠T87
♥K843
♦AKQJT
♣J

	6
12		8
	14

Double Dummy Makes

	♣	♦	♥	♠	NT
North	5	7	9	6	7
South	5	7	9	6	7
East	7	4	2	6	5
West	7	4	2	6	5

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

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
650		7.94	0.06	4♥	N	5	+2	8-Resch-Rooney	2-McCoy-Hackler
200		5.13	2.88	2♥	N	5	+2	2-Peale-Binning	1-Lerdal-McMillin
200		5.13	2.88	3♣	W	-2	-	1-Applebaum-Hiss	9-Sanchez-Shropshire
200		5.13	2.88	3♣	W	-2	-	9-Colson-Caywood	5-Lindeman-Shropshire
200		5.13	2.88	4♣	W	-2	-1	7-Holliday-Smithers	10-Allen-Oates
100		2.31	5.69	2♣	W	-1	-	10-Edington-Gordon	7-Gioannini-Schneider
	100	1.19	6.81	4♥	N	-1	-	6-Gose-Liner	8-Rohr-Benjamins
	200	0.06	7.94	4♥	N	-2	-1	3-McQuaid-Francis	3-Unglaub-Kryway

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

8

♠AK943
♥KQ
♦6
♣QJ532

Dlr: West
Vul: None

♠Q862
♥J93
♦K752
♣96

♠T
♥AT765
♦QT43
♣AT4

♠J75
♥842
♦AJ98
♣K87

	15
6		10
	9

Double Dummy Makes

	♣	♦	♥	♠	NT
North	10	5	6	10	8
South	10	5	6	10	8
East	3	7	7	3	4
West	3	7	7	3	4

LoTT: 17 - 16 = 1
Par: 420 4S-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
450		7.94	0.06	4♠	N	5	+1	1-Applebaum-Hiss	9-Sanchez-Shropshire
420		6.81	1.19	4♠	N	4	-	9-Colson-Caywood	5-Lindeman-Shropshire
140		5.69	2.31	3♠	N	3	-1	3-McQuaid-Francis	3-Unglaub-Kryway
90		4.56	3.44	1N	S	1	-1	2-Peale-Binning	1-Lerdal-McMillin
	50	2.31	5.69	4♠	N	-1	-1	10-Edington-Gordon	7-Gioannini-Schneider
	50	2.31	5.69	4♠	N	-1	-1	8-Resch-Rooney	2-McCoy-Hackler
	50	2.31	5.69	4♠	N	-1	-1	6-Gose-Liner	8-Rohr-Benjamins
	100	0.06	7.94	4♠*	N	-1	-1	7-Holliday-Smithers	10-Allen-Oates

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

9

♠KQJ
♥AT85
♦Q93
♣Q95

Dlr: North
Vul: E-W

♠7654
♥K63
♦A72
♣AKT

♠983
♥97
♦865
♣J8743

♠AT2
♥QJ42
♦KJT4
♣62

	14
14		1
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	8	10	10	9	10
South	8	10	10	9	10
East	5	3	3	4	3
West	5	3	3	4	3

LoTT: 15 - 16 = -1
Par: 430 4N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
420		6.81	1.19	4♥	S	4	-	2-Peale-Binning	1-Lerdal-McMillin
420		6.81	1.19	4♥	S	4	-	9-Colson-Caywood	5-Lindeman-Shropshire
420		6.81	1.19	4♥	S	4	-	6-Gose-Liner	8-Rohr-Benjamins
180		4.56	3.44	2N	S	4	-	8-Resch-Rooney	2-McCoy-Hackler
170		2.88	5.13	2♥	S	4	-	1-Applebaum-Hiss	9-Sanchez-Shropshire
170		2.88	5.13	2♥	S	4	-	7-Holliday-Smithers	10-Allen-Oates
140		0.63	7.38	2♥	S	3	-1	3-McQuaid-Francis	3-Unglaub-Kryway
140		0.63	7.38	2♥	S	3	-1	10-Edington-Gordon	7-Gioannini-Schneider

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

10

♠KQ7
♥AT
♦QJT64
♣965

Dlr: East
Vul: Both

♠T6
♥Q8
♦AK3
♣AJT874

♠J854
♥J63
♦982
♣KQ2

♠A932
♥K97542
♦75
♣3

	12
14		7
	7

Double Dummy Makes

	♣	♦	♥	♠	NT
North	5	8	9	8	5
South	5	8	9	8	5
East	8	5	4	4	7
West	8	5	4	4	7

LoTT: 17 - 17 = 0
Par: 140 3H-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
200		8.00	0.00	4♣	W	-2	-	3-McQuaid-Francis	2-McCoy-Hackler
170		7.00	1.00	3♥	S	4	+1	1-Applebaum-Hiss	8-Rohr-Benjamins
140		5.50	2.50	3♥	S	3	-	9-Colson-Caywood	3-Unglaub-Kryway
140		5.50	2.50	2♥	S	3	-	6-Gose-Liner	7-Gioannini-Schneider
110		3.50	4.50	2♦	N	3	+1	8-Resch-Rooney	1-Lerdal-McMillin
110		3.50	4.50	2♠	S	2	-	7-Holliday-Smithers	9-Sanchez-Shropshire
100		2.00	6.00	3♣	W	-1	-	10-Edington-Gordon	6-Randall-Randall
	110	1.00	7.00	3♣	W	3	-1	2-Peale-Binning	10-Allen-Oates
	200	0.00	8.00	4♥	S	-2	-1	4-Dunkel-Gilbert	4-Mercurio-Anderson

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

11

♠2
♥KQT
♦K984
♣QJ982

Dlr: South
Vul: None

♠QJ753
♥A975
♦Q76
♣3

♠T864
♥J6432
♦J52
♣6

♠AK9
♥8
♦AT3
♣AKT754

	11
9		2
	18

Double Dummy Makes

	♣	♦	♥	♠	NT
North	12	11	7	7	12
South	12	11	7	7	11
East	1	2	6	6	1
West	1	2	6	6	1

LoTT: 18 - 20 = -2
Par: 990 6N-N

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
920		7.50	0.50	6♣	S	6	-	1-Applebaum-Hiss	8-Rohr-Benjamins
920		7.50	0.50	6♣	S	6	-	8-Resch-Rooney	1-Lerdal-McMillin
490		6.00	2.00	3N	N	6	-	10-Edington-Gordon	6-Randall-Randall
420		2.50	5.50	5♣	S	6	-	4-Dunkel-Gilbert	4-Mercurio-Anderson
420		2.50	5.50	5♣	S	6	-	3-McQuaid-Francis	2-McCoy-Hackler
420		2.50	5.50	5♣	S	6	-	2-Peale-Binning	10-Allen-Oates
420		2.50	5.50	5♣	S	6	-	9-Colson-Caywood	3-Unglaub-Kryway
420		2.50	5.50	5♣	S	6	-	7-Holliday-Smithers	9-Sanchez-Shropshire
420		2.50	5.50	5♣	S	6	-	6-Gose-Liner	7-Gioannini-Schneider

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

12

♠Q6
♥T86543
♦T762
♣J

Dlr: West
Vul: N-S

♠84
♥AQJ97
♦95
♣T854

♠K753
♥-
♦AQJ43
♣AKQ3

♠AJT92
♥K2
♦K8
♣9762

	3
7		19
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	2	4	6	6	4
South	2	3	6	6	3
East	11	7	6	7	8
West	10	7	6	7	8

LoTT: 17 - 16 = 1
Par: -400 5C-W

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
100		7.50	0.50	3N	E	-2	+1	3-McQuaid-Francis	2-McCoy-Hackler
100		7.50	0.50	5♣	E	-2	+2	10-Edington-Gordon	6-Randall-Randall
50		6.00	2.00	3♣	E	-1	+3	1-Applebaum-Hiss	8-Rohr-Benjamins
	90	5.00	3.00	2♣	E	2	+3	4-Dunkel-Gilbert	4-Mercurio-Anderson
	110	3.00	5.00	3♣	E	3	+2	2-Peale-Binning	10-Allen-Oates
	110	3.00	5.00	3♣	E	3	+2	7-Holliday-Smithers	9-Sanchez-Shropshire
	110	3.00	5.00	2♣	E	3	+2	6-Gose-Liner	7-Gioannini-Schneider
	130	1.00	7.00	3♣	E	4	+1	8-Resch-Rooney	1-Lerdal-McMillin
	400	0.00	8.00	5♣	E	5	-	9-Colson-Caywood	3-Unglaub-Kryway

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

13

♠KQ
♥QJT86
♦74
♣QJT6

Dlr: North
Vul: Both

♠A762
♥72
♦J96532
♣8

♠-
♥A953
♦KT8
♣AK7532

♠JT98543
♥K4
♦AQ
♣94

	11
5		14
	10

Double Dummy Makes

	♣	♦	♥	♠	NT
North	6	2	6	8	5
South	6	2	6	8	5
East	7	11	6	5	4
West	6	9	6	5	4

LoTT: 19 - 18 = 1
Par: -600 5D-W

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
400		7.94	0.06	4♣	E	-4	+1	8-Resch-Rooney	10-Allen-Oates
200		6.25	1.75	3♣	E	-2	-	1-Applebaum-Hiss	7-Gioannini-Schneider
200		6.25	1.75	3♣	E	-2	-	10-Edington-Gordon	4-Mercurio-Anderson
	100	4.00	4.00	4♠	S	-1	+1	4-Dunkel-Gilbert	3-Unglaub-Kryway
	100	4.00	4.00	3♠	S	-1	-	7-Holliday-Smithers	8-Rohr-Benjamins
	110	2.31	5.69	3♦	W	3	-	2-Peale-Binning	9-Sanchez-Shropshire
	130	1.19	6.81	4♦	W	4	-1	3-McQuaid-Francis	1-Lerdal-McMillin
	200	0.06	7.94	4♠	S	-2	-	9-Colson-Caywood	2-McCoy-Hackler

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

14

♠AK
♥KQT
♦T3
♣JT7643

Dlr: East
Vul: None

♠Q8
♥972
♦742
♣AK852

♠JT3
♥A8654
♦QJ8
♣Q9

♠976542
♥J3
♦AK965
♣-

	13
9		10
	8

Double Dummy Makes

	♣	♦	♥	♠	NT
North	8	11	7	11	9
South	8	11	7	11	9
East	5	2	5	2	4
West	5	2	4	2	4

LoTT: 16 - 16 = 0
Par: 450 5S-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
400		7.94	0.06	3N	N	3	-	7-Holliday-Smithers	8-Rohr-Benjamins
200		6.81	1.19	2♠	S	5	-	9-Colson-Caywood	2-McCoy-Hackler
170		4.56	3.44	3♠	S	4	-1	1-Applebaum-Hiss	7-Gioannini-Schneider
170		4.56	3.44	1♠	S	4	-1	10-Edington-Gordon	4-Mercurio-Anderson
170		4.56	3.44	3♠	S	4	-1	8-Resch-Rooney	10-Allen-Oates
140		1.75	6.25	3♠	S	3	-2	4-Dunkel-Gilbert	3-Unglaub-Kryway
140		1.75	6.25	3♠	S	3	-2	2-Peale-Binning	9-Sanchez-Shropshire
120		0.06	7.94	2N	N	2	-1	3-McQuaid-Francis	1-Lerdal-McMillin

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

15

♠875
♥Q95
♦AKQ5
♣QJT

Dlr: South
Vul: N-S

♠J63
♥J63
♦T9843
♣95

♠AT92
♥KT874
♦6
♣763

♠KQ4
♥A2
♦J72
♣AK842

	14
2		7
	17

Double Dummy Makes

	♣	♦	♥	♠	NT
North	12	10	7	9	12
South	11	10	7	9	11
East	1	3	6	3	1
West	1	3	6	3	1

LoTT: 18 - 16 = 2
Par: 1440 6N-N

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
690		5.69	2.31	3N	S	6	+1	4-Dunkel-Gilbert	3-Unglaub-Kryway
690		5.69	2.31	3N	N	6	-	3-McQuaid-Francis	1-Lerdal-McMillin
690		5.69	2.31	3N	S	6	+1	1-Applebaum-Hiss	7-Gioannini-Schneider
690		5.69	2.31	3N	S	6	+1	9-Colson-Caywood	2-McCoy-Hackler
690		5.69	2.31	3N	S	6	+1	8-Resch-Rooney	10-Allen-Oates
660		1.19	6.81	3N	S	5	-	2-Peale-Binning	9-Sanchez-Shropshire
660		1.19	6.81	3N	S	5	-	10-Edington-Gordon	4-Mercurio-Anderson
660		1.19	6.81	3N	S	5	-	7-Holliday-Smithers	8-Rohr-Benjamins

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

16

♠AT53
♥AQT53
♦972
♣A

Dlr: West
Vul: E-W

♠976
♥862
♦K853
♣KQT

♠KJ8
♥K9
♦AQJ4
♣J763

♠Q42
♥J74
♦T6
♣98542

	14
8		15
	3

Double Dummy Makes

	♣	♦	♥	♠	NT
North	6	4	9	7	5
South	6	4	8	7	5
East	7	9	4	5	7
West	7	9	4	5	7

LoTT: 18 - 16 = 2
Par: 140 3H-N

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
140		7.38	0.63	2♥	N	3	-	4-Dunkel-Gilbert	2-McCoy-Hackler
140		7.38	0.63	2♥	N	3	-	9-Colson-Caywood	1-Lerdal-McMillin
	90	5.69	2.31	1N	E	1	-	10-Edington-Gordon	3-Unglaub-Kryway
	110	4.56	3.44	2♦	E	3	-	2-Peale-Binning	8-Rohr-Benjamins
	130	2.31	5.69	3♦	W	4	-1	6-Gose-Liner	6-Randall-Randall
	130	2.31	5.69	2♦	W	4	-1	3-McQuaid-Francis	10-Allen-Oates
	130	2.31	5.69	2♦	W	4	-1	8-Resch-Rooney	9-Sanchez-Shropshire
	150	0.06	7.94	1N	E	3	-2	1-Applebaum-Hiss	5-Lindeman-Shropshire

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

17

♠K863
♥T87
♦QT75
♣75

Dlr: North
Vul: None

♠T7
♥5432
♦2
♣AQ8632

♠J94
♥AKJ6
♦9643
♣J9

♠AQ52
♥Q9
♦AKJ8
♣KT4

	5
6		10
	19

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	9	3	8	7
South	3	9	3	8	7
East	10	4	8	4	5
West	10	4	8	4	5

LoTT: 19 - 16 = 3
Par: -100 4D*-NS-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
110		7.94	0.06	1♦	S	3	-	2-Peale-Binning	8-Rohr-Benjamins
90		6.25	1.75	2♦	S	2	-1	1-Applebaum-Hiss	5-Lindeman-Shropshire
90		6.25	1.75	1♦	S	2	-1	9-Colson-Caywood	1-Lerdal-McMillin
	50	4.00	4.00	4♠	S	-1	+1	4-Dunkel-Gilbert	2-McCoy-Hackler
	50	4.00	4.00	3♠	N	-1	-	3-McQuaid-Francis	10-Allen-Oates
	100	1.75	6.25	4♠	N	-2	-	6-Gose-Liner	6-Randall-Randall
	100	1.75	6.25	4♠	N	-2	-	10-Edington-Gordon	3-Unglaub-Kryway
	170	0.06	7.94	2♥	E	4	-2	8-Resch-Rooney	9-Sanchez-Shropshire

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

18

♠JT64
♥Q87
♦AK83
♣QT

Dlr: East
Vul: N-S

♠732
♥K
♦QJT76
♣8742

♠AQ9
♥AT953
♦2
♣J963

♠K85
♥J642
♦954
♣AK5

	12
6		11
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	6	7	7	8	8
South	6	7	7	8	8
East	7	6	6	5	5
West	7	6	6	5	5

LoTT: 15 - 15 = 0
Par: 120 2N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
150		7.94	0.06	2♥	E	-3	+1	2-Peale-Binning	8-Rohr-Benjamins
120		5.69	2.31	2N	N	2	-	6-Gose-Liner	6-Randall-Randall
120		5.69	2.31	1N	S	2	-	9-Colson-Caywood	1-Lerdal-McMillin
120		5.69	2.31	1N	S	2	-	8-Resch-Rooney	9-Sanchez-Shropshire
100		3.44	4.56	2♥	E	-2	-	4-Dunkel-Gilbert	2-McCoy-Hackler
50		1.75	6.25	3♣	E	-1	-1	1-Applebaum-Hiss	5-Lindeman-Shropshire
50		1.75	6.25	3♣	E	-1	-1	10-Edington-Gordon	3-Unglaub-Kryway
Pass		0.06	7.94	Pass Out			-	3-McQuaid-Francis	10-Allen-Oates

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

19

♠9
♥9643
♦K975
♣KT53

Dlr: South
Vul: E-W

♠A83
♥AQJ
♦J8
♣Q9872

♠KQ542
♥K8752
♦A
♣A4

♠JT76
♥T
♦QT6432
♣J6

	6
14		16
	4

Double Dummy Makes

	♣	♦	♥	♠	NT
North	2	8	1	2	2
South	2	8	1	2	2
East	10	5	11	11	10
West	10	5	11	11	10

LoTT: 19 - 18 = 1
Par: -650 5S-EW/5H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
500		7.94	0.06	7♥*	W	-2	-	9-Colson-Caywood	10-Allen-Oates
300		6.81	1.19	6♥	W	-3	+2	4-Dunkel-Gilbert	1-Lerdal-McMillin
200		5.69	2.31	6♥	E	-2	+1	10-Edington-Gordon	2-McCoy-Hackler
100		4.00	4.00	6♠	E	-1	-	7-Holliday-Smithers	7-Gioannini-Schneider
100		4.00	4.00	6♠	E	-1	-	6-Gose-Liner	5-Lindeman-Shropshire
	650	1.19	6.81	4♠	E	5	-	3-McQuaid-Francis	9-Sanchez-Shropshire
	650	1.19	6.81	4♠	E	5	-	2-Peale-Binning	6-Randall-Randall
	650	1.19	6.81	4♥	E	5	-	1-Applebaum-Hiss	4-Mercurio-Anderson

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

20

♠93
♥AJT8
♦AQT8
♣J85

Dlr: West
Vul: Both

♠KQT2
♥9
♦K6
♣KQ9742

♠AJ8765
♥K53
♦J
♣AT3

♠4
♥Q7642
♦975432
♣6

	12
13		13
	2

Double Dummy Makes

	♣	♦	♥	♠	NT
North	1	10	9	1	1
South	1	9	9	1	1
East	11	3	3	11	6
West	11	3	3	11	11

LoTT: 21 - 20 = 1
Par: -500 6D*-N-2

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	650	7.94	0.06	5♠	E	5	-	6-Gose-Liner	5-Lindeman-Shropshire
	680	4.56	3.44	5♠	E	6	-1	7-Holliday-Smithers	7-Gioannini-Schneider
	680	4.56	3.44	4♠	E	6	-1	3-McQuaid-Francis	9-Sanchez-Shropshire
	680	4.56	3.44	4♠	E	6	-1	2-Peale-Binning	6-Randall-Randall
	680	4.56	3.44	4♠	E	6	-1	1-Applebaum-Hiss	4-Mercurio-Anderson
	680	4.56	3.44	4♠	E	6	-1	10-Edington-Gordon	2-McCoy-Hackler
	710	1.19	6.81	4♠	E	7	-2	9-Colson-Caywood	10-Allen-Oates
	800	0.06	7.94	6♦*	N	-3	-1	4-Dunkel-Gilbert	1-Lerdal-McMillin

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

21

♠QT5
♥A
♦Q872
♣KT864

Dlr: North
Vul: N-S

♠J762
♥J62
♦T964
♣J3

♠AK43
♥K9874
♦AK
♣72

♠98
♥QT53
♦J53
♣AQ95

	11
3		17
	9

Double Dummy Makes

	♣	♦	♥	♠	NT
North	9	8	5	5	7
South	9	8	5	5	7
East	4	5	7	8	5
West	4	5	7	8	5

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

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
110		7.94	0.06	3♣	N	3	-	4-Dunkel-Gilbert	1-Lerdal-McMillin
50		5.69	2.31	3♥	E	-1	-1	3-McQuaid-Francis	9-Sanchez-Shropshire
50		5.69	2.31	3♥	E	-1	-1	2-Peale-Binning	6-Randall-Randall
50		5.69	2.31	3♠	E	-1	-	1-Applebaum-Hiss	4-Mercurio-Anderson
	80	2.88	5.13	1♥	E	1	-	10-Edington-Gordon	2-McCoy-Hackler
	80	2.88	5.13	1♥	E	1	-	9-Colson-Caywood	10-Allen-Oates
	110	1.19	6.81	2♠	E	2	-	7-Holliday-Smithers	7-Gioannini-Schneider
	140	0.06	7.94	3♥	E	3	-2	6-Gose-Liner	5-Lindeman-Shropshire

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

22

♠T63
♥64
♦A853
♣KJ53

Dlr: East
Vul: E-W

♠AQ5
♥Q532
♦JT7
♣874

♠KJ82
♥AK987
♦96
♣A9

♠974
♥JT
♦KQ42
♣QT62

	8
9		15
	8

Double Dummy Makes

	♣	♦	♥	♠	NT
North	7	7	3	3	3
South	7	7	3	3	3
East	6	6	10	10	9
West	6	6	10	10	9

LoTT: 17 - 17 = 0
Par: -620 4S-EW/4H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	170	7.38	0.63	3♥	E	4	-	6-Gose-Liner	4-Mercurio-Anderson
	170	7.38	0.63	3♥	E	4	-	2-Peale-Binning	5-Lindeman-Shropshire
	620	2.88	5.13	4♥	E	4	-	8-Resch-Rooney	8-Rohr-Benjamins
	620	2.88	5.13	4♥	E	4	-	7-Holliday-Smithers	6-Randall-Randall
	620	2.88	5.13	4♥	E	4	-	4-Dunkel-Gilbert	10-Allen-Oates
	620	2.88	5.13	4♥	E	4	-	3-McQuaid-Francis	7-Gioannini-Schneider
	620	2.88	5.13	4♥	E	4	-	1-Applebaum-Hiss	3-Unglaub-Kryway
	620	2.88	5.13	4♥	E	4	-	10-Edington-Gordon	1-Lerdal-McMillin

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

23

♠AK92
♥AKT2
♦KJ
♣KQJ

Dlr: South
Vul: Both

♠J53
♥743
♦A9764
♣52

♠T87
♥J985
♦52
♣A976

♠Q64
♥Q6
♦QT83
♣T843

	24
5		5
	6

Double Dummy Makes

	♣	♦	♥	♠	NT
North	11	10	10	11	11
South	11	10	10	11	11
East	2	3	3	2	2
West	2	3	3	2	2

LoTT: 14 - 14 = 0
Par: 660 5N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
690		7.94	0.06	3N	N	6	+1	8-Resch-Rooney	8-Rohr-Benjamins
660		3.44	4.56	3N	N	5	-	7-Holliday-Smithers	6-Randall-Randall
660		3.44	4.56	5N	N	5	-	6-Gose-Liner	4-Mercurio-Anderson
660		3.44	4.56	3N	N	5	-	4-Dunkel-Gilbert	10-Allen-Oates
660		3.44	4.56	3N	N	5	-	3-McQuaid-Francis	7-Gioannini-Schneider
660		3.44	4.56	3N	N	5	-	2-Peale-Binning	5-Lindeman-Shropshire
660		3.44	4.56	3N	N	5	-	1-Applebaum-Hiss	3-Unglaub-Kryway
660		3.44	4.56	3N	N	5	-	10-Edington-Gordon	1-Lerdal-McMillin

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

24

♠J75
♥J6543
♦QJ42
♣3

Dlr: West
Vul: None

♠83
♥KT7
♦AT65
♣AT82

♠64
♥Q9
♦9873
♣QJ965

♠AKQT92
♥A82
♦K
♣K74

	5
11		5
	19

Double Dummy Makes

	♣	♦	♥	♠	NT
North	5	6	9	9	7
South	5	6	9	9	8
East	8	7	4	3	4
West	8	7	4	3	4

LoTT: 17 - 18 = -1
Par: 140 3S-NS/3H-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
450		5.69	2.31	4♠	S	5	+2	8-Resch-Rooney	8-Rohr-Benjamins
450		5.69	2.31	4♠	S	5	+2	6-Gose-Liner	4-Mercurio-Anderson
450		5.69	2.31	4♠	S	5	+2	4-Dunkel-Gilbert	10-Allen-Oates
450		5.69	2.31	4♠	S	5	+2	3-McQuaid-Francis	7-Gioannini-Schneider
450		5.69	2.31	4♠	S	5	+2	2-Peale-Binning	5-Lindeman-Shropshire
420		2.31	5.69	4♠	S	4	+1	1-Applebaum-Hiss	3-Unglaub-Kryway
170		1.19	6.81	1♠	S	4	+1	10-Edington-Gordon	1-Lerdal-McMillin
140		0.06	7.94	3♠	S	3	-	7-Holliday-Smithers	6-Randall-Randall

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

25

♠32
♥AQ85
♦AK832
♣T2

Dlr: North
Vul: E-W

♠AT75
♥J976
♦J6
♣AQ3

♠6
♥KT32
♦QT94
♣K987

♠KQJ984
♥4
♦75
♣J654

	13
12		8
	7

Double Dummy Makes

	♣	♦	♥	♠	NT
North	5	6	4	8	5
South	5	6	4	8	4
East	7	7	9	5	8
West	7	7	9	5	8

LoTT: 17 - 16 = 1
Par: -100 3S*-NS-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
140		7.94	0.06	2♠	S	3	+1	1-Applebaum-Hiss	2-McCoy-Hackler
110		6.25	1.75	2♠	S	2	-	9-Colson-Caywood	9-Sanchez-Shropshire
110		6.25	1.75	2♠	S	2	-	8-Resch-Rooney	7-Gioannini-Schneider
	50	2.88	5.13	2♠	S	-1	-1	7-Holliday-Smithers	5-Lindeman-Shropshire
	50	2.88	5.13	4♠	S	-1	+1	6-Gose-Liner	3-Unglaub-Kryway
	50	2.88	5.13	4♠	S	-1	+1	4-Dunkel-Gilbert	8-Rohr-Benjamins
	50	2.88	5.13	3♠	S	-1	-	3-McQuaid-Francis	6-Randall-Randall
	100	0.06	7.94	3♠	S	-2	-1	2-Peale-Binning	4-Mercurio-Anderson

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

26

♠Q85
♥A9854
♦KJ64
♣K

Dlr: East
Vul: Both

♠KJ42
♥KT3
♦A3
♣A954

♠AT96
♥76
♦87
♣JT763

♠73
♥QJ2
♦QT952
♣Q82

	13
15		5
	7

Double Dummy Makes

	♣	♦	♥	♠	NT
North	4	8	8	3	4
South	4	8	8	3	4
East	9	5	5	9	6
West	9	5	5	9	6

LoTT: 17 - 18 = -1
Par: -140 3S-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
170		7.94	0.06	2♥	S	4	+2	2-Peale-Binning	4-Mercurio-Anderson
140		6.25	1.75	2♥	N	3	+1	7-Holliday-Smithers	5-Lindeman-Shropshire
140		6.25	1.75	3♥	N	3	+1	3-McQuaid-Francis	6-Randall-Randall
	90	4.00	4.00	1N	W	1	-1	8-Resch-Rooney	7-Gioannini-Schneider
	90	4.00	4.00	1N	W	1	-1	1-Applebaum-Hiss	2-McCoy-Hackler
	120	1.19	6.81	1N	W	2	-2	9-Colson-Caywood	9-Sanchez-Shropshire
	120	1.19	6.81	1N	W	2	-2	6-Gose-Liner	3-Unglaub-Kryway
	120	1.19	6.81	1N	W	2	-2	4-Dunkel-Gilbert	8-Rohr-Benjamins

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

27

♠AT76
♥4
♦A73
♣KQ954

Dlr: South
Vul: None

♠J85
♥Q862
♦JT54
♣62

♠K9
♥AJT95
♦Q62
♣AJ7

♠Q432
♥K73
♦K98
♣T83

	13
4		15
	8

Double Dummy Makes

	♣	♦	♥	♠	NT
North	9	6	5	8	7
South	9	6	5	8	7
East	4	7	8	5	6
West	4	7	8	5	6

LoTT: 17 - 17 = 0
Par: 100 3H*-EW-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
450		7.94	0.06	4♠	N	5	+3	1-Applebaum-Hiss	2-McCoy-Hackler
300		6.81	1.19	4♥*	E	-2	-	6-Gose-Liner	3-Unglaub-Kryway
140		5.69	2.31	3♠	S	3	+1	9-Colson-Caywood	9-Sanchez-Shropshire
110		4.00	4.00	2♣	N	3	-	7-Holliday-Smithers	5-Lindeman-Shropshire
110		4.00	4.00	2♠	N	2	-	2-Peale-Binning	4-Mercurio-Anderson
50		2.31	5.69	3♥	E	-1	-	8-Resch-Rooney	7-Gioannini-Schneider
	50	0.63	7.38	3♠	S	-1	-	4-Dunkel-Gilbert	8-Rohr-Benjamins
	50	0.63	7.38	3♠	S	-1	-	3-McQuaid-Francis	6-Randall-Randall

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

28

♠T975
♥JT54
♦K63
♣Q9

Dlr: West
Vul: N-S

♠Q83
♥AK7
♦87
♣AT432

♠KJ62
♥Q932
♦54
♣J65

♠A4
♥86
♦AQJT92
♣K87

	6
13		7
	14

Double Dummy Makes

	♣	♦	♥	♠	NT
North	4	9	5	5	7
South	4	9	5	5	7
East	8	4	7	8	5
West	8	4	7	8	5

LoTT: 17 - 17 = 0
Par: 100 3S*-EW-1/3C*-EW-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
130		7.38	0.63	1♦	S	4	+1	9-Colson-Caywood	8-Rohr-Benjamins
130		7.38	0.63	2♦	N	4	+1	2-Peale-Binning	3-Unglaub-Kryway
110		4.00	4.00	2♦	S	3	-	7-Holliday-Smithers	4-Mercurio-Anderson
110		4.00	4.00	3♦	N	3	-	6-Gose-Liner	2-McCoy-Hackler
110		4.00	4.00	2♦	N	3	-	4-Dunkel-Gilbert	7-Gioannini-Schneider
110		4.00	4.00	3♦	N	3	-	3-McQuaid-Francis	5-Lindeman-Shropshire
100		0.63	7.38	2N	W	-2	-1	10-Edington-Gordon	10-Allen-Oates
100		0.63	7.38	2♥	E	-2	+1	8-Resch-Rooney	6-Randall-Randall

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

29

♠AKQJ9
♥54
♦T
♣AK632

Dlr: North
Vul: Both

♠64
♥KQJ72
♦8543
♣J4

♠T72
♥A86
♦KQ9
♣Q985

♠853
♥T93
♦AJ762
♣T7

	17
7		11
	5

Double Dummy Makes

	♣	♦	♥	♠	NT
North	9	7	6	10	8
South	9	7	6	10	8
East	4	6	7	3	5
West	4	6	7	3	5

LoTT: 17 - 16 = 1
Par: 620 4S-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
650		7.94	0.06	4♠	N	5	+1	2-Peale-Binning	3-Unglaub-Kryway
620		5.13	2.88	4♠	N	4	-	10-Edington-Gordon	10-Allen-Oates
620		5.13	2.88	4♠	N	4	-	8-Resch-Rooney	6-Randall-Randall
620		5.13	2.88	4♠	N	4	-	6-Gose-Liner	2-McCoy-Hackler
620		5.13	2.88	4♠	N	4	-	4-Dunkel-Gilbert	7-Gioannini-Schneider
300		2.31	5.69	4♥	E	-3	-	3-McQuaid-Francis	5-Lindeman-Shropshire
110		1.19	6.81	1♠	N	2	-2	9-Colson-Caywood	8-Rohr-Benjamins
	100	0.06	7.94	4♠	N	-1	-1	7-Holliday-Smithers	4-Mercurio-Anderson

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

30

♠Q8
♥AKJ65
♦AQ2
♣AK3

Dlr: East
Vul: None

♠JT972
♥Q72
♦J853
♣2

♠54
♥4
♦KT76
♣QJ7654

♠AK63
♥T983
♦94
♣T98

	23
4		6
	7

Double Dummy Makes

	♣	♦	♥	♠	NT
North	9	8	12	10	12
South	8	7	12	9	11
East	4	5	1	3	1
West	4	5	1	3	1

LoTT: 17 - 17 = 0
Par: 990 6N-N

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
460		7.94	0.06	3N	N	5	-1	6-Gose-Liner	2-McCoy-Hackler
450		5.13	2.88	4♥	N	5	-1	9-Colson-Caywood	8-Rohr-Benjamins
450		5.13	2.88	4♥	N	5	-1	7-Holliday-Smithers	4-Mercurio-Anderson
450		5.13	2.88	4♥	N	5	-1	4-Dunkel-Gilbert	7-Gioannini-Schneider
450		5.13	2.88	4♥	N	5	-1	2-Peale-Binning	3-Unglaub-Kryway
420		2.31	5.69	4♥	N	4	-2	10-Edington-Gordon	10-Allen-Oates
	100	0.63	7.38	6N	N	-2	-2	8-Resch-Rooney	6-Randall-Randall
	100	0.63	7.38	6N	N	-2	-2	3-McQuaid-Francis	5-Lindeman-Shropshire

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