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Seattle Bridge Center
10:30 am ♦ Club Game
Thursday, March 29, 2018

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Event: Thursday Morning Pairs	Session: Thursday Morn	Movement: WEB
Date: March 29, 2018	Rating: Club Masterpoint	Section: A
Club No: 167601	Club: Seattle Bridge Center	Dir: Nick Tipton
MP Limits: None/2000/750	Average: 121.5	Top: 9

Field strength: Mean: 1934 MP
Geomean: 961 MP
(based on 40 players)

Both Directions Grouped - Pairs in strats: A=20 / B=14 / C=7

Split by Direction

Section

A

B

C

E-W

4

C

1

1

1

170.50

1.00

N-S

10

A

1

157.00

1.00

E-W

10

B

2

2

132.50

0.70

N-S

2

B

2

1

132.00

0.70

N-S

9

B

3

2

131.50

0.50

N-S

7

A

4

129.50

0.35

E-W

3

A

3

129.00

0.50

E-W

5

C

4

3

-

127.00

0.35

N-S

6

A

-

126.50

N-S

4

C

-

-

1

125.00

0.32

E-W

8

B

-

-

122.00

Mary Jo Boarman

E-W

9

B

-

-

122.00

E-W

2

B

-

-

118.50

Corrine Joinette

N-S

5

A

-

111.50

N-S

3

C

-

-

2

110.00

0.22

N-S

8

C

-

-

-

105.50

E-W

7

A

-

102.00

Krishna Rustagi

Madan Mendiratta

E-W

1

B

-

-

99.50

E-W

6

C

-

-

-

92.00

N-S

1

C

-

-

-

86.50

20 pairs - Pairs in strats: A=20 / B=14 / C=7
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

1

♠AQ642
♥2
♦873
♣K532

Dlr: North
Vul: None

♠853
♥T76
♦AK4
♣QJT7

♠J9
♥AKQ543
♦T62
♣A8

♠KT7
♥J98
♦QJ95
♣964

	9
10		14
	7

Double Dummy Makes

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

LoTT: 17 - 17 = 0
Par: -420 4H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
50		9.00	0.00	4♥	E	-1	+1	7-Chinn-Binney	5-Doland-Wells
	170	8.00	1.00	3♥	E	4	-	3-Ye-Ye	6-Bukowski-Toomey
	420	4.50	4.50	4♥	E	4	-	1-Hart-Campbell	1-Rustagi-Mendiratta
	420	4.50	4.50	4♥	E	4	-	9-Decker-Hauck	9-Boarman-Arsene
	420	4.50	4.50	4♥	E	4	-	8-Raman-Raman	7-English-Bovarnick
	420	4.50	4.50	4♥	E	4	-	5-Joinette-Sax	10-Chen-Bailey
	420	4.50	4.50	4♥	E	4	-	4-Ottersen-King	8-Fox-Gilman
	420	4.50	4.50	4♥	E	4	-	10-Bailey-Tracy	2-Shen-Moen
	500	1.00	8.00	4♠*	N	-3	-	6-Gokhale-Gokhale	3-Bolson-Lewis
	800	0.00	9.00	4♠*	N	-4	-1	2-Gray-Reams	4-Kirk-Marx

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

2

♠Q54
♥KJ542
♦Q3
♣865

Dlr: East
Vul: N-S

♠T72
♥873
♦AJ84
♣A74

♠AK83
♥A6
♦T52
♣Q932

♠J96
♥QT9
♦K976
♣KJT

	8
9		13
	10

Double Dummy Makes

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

LoTT: 16 - 15 = 1
Par: 100 2N*-EW-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
100		8.50	0.50	3♠	E	-2	+1	7-Chinn-Binney	5-Doland-Wells
100		8.50	0.50	2♠	E	-2	+2	6-Gokhale-Gokhale	3-Bolson-Lewis
50		4.50	4.50	1N	W	-1	+1	1-Hart-Campbell	1-Rustagi-Mendiratta
50		4.50	4.50	1N	E	-1	+1	8-Raman-Raman	7-English-Bovarnick
50		4.50	4.50	1N	W	-1	+1	5-Joinette-Sax	10-Chen-Bailey
50		4.50	4.50	1N	W	-1	+1	4-Ottersen-King	8-Fox-Gilman
50		4.50	4.50	2♠	E	-1	+1	3-Ye-Ye	6-Bukowski-Toomey
50		4.50	4.50	1N	W	-1	+1	10-Bailey-Tracy	2-Shen-Moen
	90	1.00	8.00	1N	W	1	-	2-Gray-Reams	4-Kirk-Marx
	100	0.00	9.00	2♥	N	-1	-1	9-Decker-Hauck	9-Boarman-Arsene

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

3

♠KJT74
♥QT52
♦985
♣7

Dlr: South
Vul: E-W

♠32
♥AJ9
♦AQT76
♣QJ6

♠AQ8
♥K73
♦J3
♣AK854

♠965
♥864
♦K42
♣T932

	6
14		17
	3

Double Dummy Makes

	♣	♦	♥	♠	NT
North	0	0	2	3	0
South	0	0	2	3	0
East	13	13	11	9	13
West	13	13	11	9	13

LoTT: 16 - 16 = 0
Par: -2220 7N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	720	5.50	3.50	3N	E	7	-	1-Hart-Campbell	1-Rustagi-Mendiratta
	720	5.50	3.50	3N	E	7	-	9-Decker-Hauck	9-Boarman-Arsene
	720	5.50	3.50	3N	W	7	-	8-Raman-Raman	7-English-Bovarnick
	720	5.50	3.50	3N	E	7	-	7-Chinn-Binney	5-Doland-Wells
	720	5.50	3.50	3N	W	7	-	5-Joinette-Sax	10-Chen-Bailey
	720	5.50	3.50	3N	E	7	-	4-Ottersen-King	8-Fox-Gilman
	720	5.50	3.50	3N	E	7	-	3-Ye-Ye	6-Bukowski-Toomey
	720	5.50	3.50	3N	E	7	-	10-Bailey-Tracy	2-Shen-Moen
	1390	1.00	8.00	6♣	E	7	-	2-Gray-Reams	4-Kirk-Marx
	1470	0.00	9.00	6N	E	7	-	6-Gokhale-Gokhale	3-Bolson-Lewis

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

4

♠J85
♥96
♦AT8
♣J8532

Dlr: West
Vul: Both

♠T932
♥AKQ53
♦32
♣AK

♠Q
♥J74
♦QJ954
♣QT94

♠AK764
♥T82
♦K76
♣76

	6
16		8
	10

Double Dummy Makes

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

LoTT: 16 - 16 = 0
Par: -140 3H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
200		8.50	0.50	4♥	W	-2	+1	6-Gokhale-Gokhale	4-Kirk-Marx
200		8.50	0.50	4♥	W	-2	+1	10-Bailey-Tracy	3-Bolson-Lewis
140		7.00	2.00	3♠	S	3	+2	9-Decker-Hauck	1-Rustagi-Mendiratta
100		5.50	3.50	3♥	W	-1	+1	7-Chinn-Binney	6-Bukowski-Toomey
100		5.50	3.50	4♥	W	-1	-	5-Joinette-Sax	9-Boarman-Arsene
	110	3.50	5.50	2♥	W	2	+1	2-Gray-Reams	2-Shen-Moen
	110	3.50	5.50	2♥	E	2	+1	3-Ye-Ye	5-Doland-Wells
	140	2.00	7.00	3♥	W	3	-	8-Raman-Raman	8-Fox-Gilman
	170	1.00	8.00	3♥	W	4	-1	4-Ottersen-King	7-English-Bovarnick
	630	0.00	9.00	3N	W	4	-2	1-Hart-Campbell	10-Chen-Bailey

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

5

♠A76542
♥A5
♦K
♣T643

Dlr: North
Vul: N-S

♠983
♥KJ6
♦Q94
♣AKJ5

♠QJT
♥98
♦JT3
♣Q9872

♠K
♥QT7432
♦A87652
♣-

	11
14		6
	9

Double Dummy Makes

	♣	♦	♥	♠	NT
North	5	11	11	7	6
South	5	11	11	7	6
East	7	2	1	5	6
West	7	2	1	5	6

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

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
650		9.00	0.00	4♥	S	5	-	7-Chinn-Binney	6-Bukowski-Toomey
620		7.50	1.50	4♥	S	4	-1	5-Joinette-Sax	9-Boarman-Arsene
620		7.50	1.50	4♥	S	4	-1	10-Bailey-Tracy	3-Bolson-Lewis
170		6.00	3.00	3♥	S	4	-1	4-Ottersen-King	7-English-Bovarnick
50		5.00	4.00	2N	E	-1	-1	9-Decker-Hauck	1-Rustagi-Mendiratta
	100	4.00	5.00	2♠	N	-1	-	6-Gokhale-Gokhale	4-Kirk-Marx
	200	2.50	6.50	4♥	S	-2	-3	2-Gray-Reams	2-Shen-Moen
	200	2.50	6.50	3♠	N	-2	-	8-Raman-Raman	8-Fox-Gilman
	300	0.50	8.50	4♥	S	-3	-4	1-Hart-Campbell	10-Chen-Bailey
	300	0.50	8.50	4♠	N	-3	-	3-Ye-Ye	5-Doland-Wells

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

6

♠T53
♥Q
♦984
♣KJT873

Dlr: East
Vul: E-W

♠-
♥AJ86
♦AKJ53
♣A952

♠K98642
♥KT73
♦Q
♣64

♠AQJ7
♥9542
♦T762
♣Q

	6
17		8
	9

Double Dummy Makes

	♣	♦	♥	♠	NT
North	5	3	1	4	3
South	5	3	2	4	3
East	8	10	11	8	10
West	8	10	11	8	10

LoTT: 16 - 15 = 1
Par: -650 5H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
300		9.00	0.00	3♠	E	-3	+2	2-Gray-Reams	2-Shen-Moen
200		8.00	1.00	2♠	E	-2	+2	7-Chinn-Binney	6-Bukowski-Toomey
100		7.00	2.00	3♣	W	-1	-	4-Ottersen-King	7-English-Bovarnick
	150	6.00	3.00	3♣	N	-3	+1	9-Decker-Hauck	1-Rustagi-Mendiratta
	300	5.00	4.00	3♣*	N	-2	+2	6-Gokhale-Gokhale	4-Kirk-Marx
	620	3.50	5.50	4♥	W	4	+1	5-Joinette-Sax	9-Boarman-Arsene
	620	3.50	5.50	4♥	W	4	+1	10-Bailey-Tracy	3-Bolson-Lewis
	630	1.50	7.50	3N	W	4	-	1-Hart-Campbell	10-Chen-Bailey
	630	1.50	7.50	3N	W	4	-	3-Ye-Ye	5-Doland-Wells
	650	0.00	9.00	4♥	W	5	-	8-Raman-Raman	8-Fox-Gilman

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

7

♠T3
♥Q2
♦AK962
♣Q843

Dlr: South
Vul: Both

♠K986
♥6
♦843
♣J9752

♠74
♥KJ543
♦QJT75
♣A

♠AQJ52
♥AT987
♦-
♣KT6

	11
4		11
	14

Double Dummy Makes

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

LoTT: 14 - 15 = -1
Par: 600 3N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
800		8.50	0.50	3♦*	E	-3	-1	2-Gray-Reams	1-Rustagi-Mendiratta
800		8.50	0.50	2♥*	E	-3	-1	5-Joinette-Sax	8-Fox-Gilman
620		7.00	2.00	4♥	S	4	+1	9-Decker-Hauck	2-Shen-Moen
500		6.00	3.00	2♥*	E	-2	-2	7-Chinn-Binney	7-English-Bovarnick
170		5.00	4.00	2♠	S	4	+1	10-Bailey-Tracy	4-Kirk-Marx
	100	2.50	6.50	3N	N	-1	-1	3-Ye-Ye	3-Bolson-Lewis
	100	2.50	6.50	4♠	S	-1	-	6-Gokhale-Gokhale	5-Doland-Wells
	100	2.50	6.50	3♠	S	-1	-1	4-Ottersen-King	6-Bukowski-Toomey
	100	2.50	6.50	4♠	S	-1	-	8-Raman-Raman	10-Chen-Bailey
	200	0.00	9.00	3N	N	-2	-2	1-Hart-Campbell	9-Boarman-Arsene

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

8

♠KJ965
♥AT6
♦JT6
♣AQ

Dlr: West
Vul: None

♠743
♥Q42
♦AK73
♣K95

♠T8
♥KJ98753
♦98
♣J6

♠AQ2
♥-
♦Q542
♣T87432

	15
12		5
	8

Double Dummy Makes

	♣	♦	♥	♠	NT
North	9	10	5	10	8
South	9	10	5	10	8
East	3	3	8	2	3
West	3	3	8	2	3

LoTT: 18 - 18 = 0
Par: 420 4S-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
420		7.50	1.50	4♠	N	4	-	3-Ye-Ye	3-Bolson-Lewis
420		7.50	1.50	4♠	N	4	-	2-Gray-Reams	1-Rustagi-Mendiratta
420		7.50	1.50	4♠	N	4	-	4-Ottersen-King	6-Bukowski-Toomey
420		7.50	1.50	4♠	N	4	-	8-Raman-Raman	10-Chen-Bailey
170		3.50	5.50	3♠	N	4	-	7-Chinn-Binney	7-English-Bovarnick
170		3.50	5.50	3♠	N	4	-	1-Hart-Campbell	9-Boarman-Arsene
170		3.50	5.50	3♠	N	4	-	10-Bailey-Tracy	4-Kirk-Marx
170		3.50	5.50	3♠	N	4	-	5-Joinette-Sax	8-Fox-Gilman
140		1.00	8.00	2♠	N	3	-1	9-Decker-Hauck	2-Shen-Moen
	50	0.00	9.00	5♣	S	-1	+1	6-Gokhale-Gokhale	5-Doland-Wells

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

9

♠AJ732
♥KJ
♦7
♣T9842

Dlr: North
Vul: E-W

♠T
♥6
♦AQJ98542
♣AQ7

♠KQ54
♥AQ7432
♦6
♣K6

♠986
♥T985
♦KT3
♣J53

	9
13		14
	4

Double Dummy Makes

	♣	♦	♥	♠	NT
North	5	1	3	5	2
South	5	1	3	4	2
East	8	11	10	8	11
West	8	11	10	8	11

LoTT: 16 - 17 = -1
Par: -660 5N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
100		9.00	0.00	6N	W	-1	-	1-Hart-Campbell	9-Boarman-Arsene
	150	8.00	1.00	4♦	W	5	-	9-Decker-Hauck	2-Shen-Moen
	600	5.50	3.50	5♦	W	5	-	2-Gray-Reams	1-Rustagi-Mendiratta
	600	5.50	3.50	5♦	W	5	-	6-Gokhale-Gokhale	5-Doland-Wells
	600	5.50	3.50	5♦	W	5	-	5-Joinette-Sax	8-Fox-Gilman
	600	5.50	3.50	5♦	W	5	-	8-Raman-Raman	10-Chen-Bailey
	620	3.00	6.00	5♦	W	6	-1	7-Chinn-Binney	7-English-Bovarnick
	660	2.00	7.00	3N	E	5	-	4-Ottersen-King	6-Bukowski-Toomey
	800	1.00	8.00	4♠*	N	-4	+1	3-Ye-Ye	3-Bolson-Lewis
	1370	0.00	9.00	6♦	W	6	-1	10-Bailey-Tracy	4-Kirk-Marx

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

10

♠A9765
♥-
♦92
♣T97532

Dlr: East
Vul: Both

♠43
♥KT9542
♦Q8764
♣-

♠QJ
♥QJ
♦KT53
♣QJ864

♠KT82
♥A8763
♦AJ
♣AK

	4
5		12
	19

Double Dummy Makes

	♣	♦	♥	♠	NT
North	10	5	6	11	9
South	10	5	6	11	9
East	3	8	7	2	4
West	3	8	7	2	4

LoTT: 19 - 18 = 1
Par: 650 5S-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
800		9.00	0.00	1♣*	E	-3	-1	5-Joinette-Sax	7-English-Bovarnick
650		6.00	3.00	5♠	N	5	-	1-Hart-Campbell	8-Fox-Gilman
650		6.00	3.00	4♠	N	5	-	10-Bailey-Tracy	5-Doland-Wells
650		6.00	3.00	4♠	S	5	-	9-Decker-Hauck	3-Bolson-Lewis
650		6.00	3.00	4♠	N	5	-	8-Raman-Raman	1-Rustagi-Mendiratta
650		6.00	3.00	4♠	N	5	-	7-Chinn-Binney	9-Boarman-Arsene
620		3.00	6.00	4♠	N	4	-1	6-Gokhale-Gokhale	6-Bukowski-Toomey
200		1.50	7.50	3♠	S	5	-	4-Ottersen-King	4-Kirk-Marx
200		1.50	7.50	3♠	N	5	-	3-Ye-Ye	2-Shen-Moen
	200	0.00	9.00	1♥	S	-2	-1	2-Gray-Reams	10-Chen-Bailey

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

11

♠J862
♥A932
♦Q532
♣3

Dlr: South
Vul: None

♠Q5
♥KQ85
♦AT86
♣AJ6

♠KT4
♥JT76
♦K97
♣Q75

♠A973
♥4
♦J4
♣KT9842

	7
16		9
	8

Double Dummy Makes

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

LoTT: 14 - 16 = -2
Par: -400 3N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
50		8.50	0.50	4♥	W	-1	-	10-Bailey-Tracy	5-Doland-Wells
50		8.50	0.50	4♥	W	-1	-	8-Raman-Raman	1-Rustagi-Mendiratta
	400	6.50	2.50	3N	W	3	-	4-Ottersen-King	4-Kirk-Marx
	400	6.50	2.50	3N	W	3	-	6-Gokhale-Gokhale	6-Bukowski-Toomey
	420	4.00	5.00	4♥	W	4	-1	3-Ye-Ye	2-Shen-Moen
	420	4.00	5.00	4♥	W	4	-1	5-Joinette-Sax	7-English-Bovarnick
	420	4.00	5.00	4♥	W	4	-1	7-Chinn-Binney	9-Boarman-Arsene
	430	1.50	7.50	3N	W	4	-1	2-Gray-Reams	10-Chen-Bailey
	430	1.50	7.50	3N	W	4	-1	9-Decker-Hauck	3-Bolson-Lewis
	450	0.00	9.00	4♥	E	5	-2	1-Hart-Campbell	8-Fox-Gilman

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

12

♠J975
♥K8
♦KT932
♣75

Dlr: West
Vul: N-S

♠KT
♥AQ4
♦J876
♣Q862

♠A8632
♥T962
♦4
♣KJT

♠Q4
♥J753
♦AQ5
♣A943

	7
12		8
	13

Double Dummy Makes

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

LoTT: 16 - 15 = 1
Par: -110 2H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
130		9.00	0.00	2♦	N	4	+2	6-Gokhale-Gokhale	6-Bukowski-Toomey
110		7.50	1.50	2♦	N	3	+1	3-Ye-Ye	2-Shen-Moen
110		7.50	1.50	2♦	N	3	+1	9-Decker-Hauck	3-Bolson-Lewis
100		6.00	3.00	2N	W	-2	-	1-Hart-Campbell	8-Fox-Gilman
50		4.50	4.50	3♥	E	-1	-	5-Joinette-Sax	7-English-Bovarnick
50		4.50	4.50	2N	W	-1	-1	7-Chinn-Binney	9-Boarman-Arsene
	90	3.00	6.00	1N	W	1	-1	4-Ottersen-King	4-Kirk-Marx
	100	2.00	7.00	4♦	N	-1	+1	8-Raman-Raman	1-Rustagi-Mendiratta
	110	1.00	8.00	2♠	E	2	-1	10-Bailey-Tracy	5-Doland-Wells
	120	0.00	9.00	1N	W	2	-2	2-Gray-Reams	10-Chen-Bailey

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

13

♠AT93
♥Q7
♦865
♣T962

Dlr: North
Vul: Both

♠84
♥AKJ6543
♦A74
♣K

♠KQJ76
♥98
♦KJ2
♣AQ3

♠52
♥T2
♦QT93
♣J8754

	6
15		16
	3

Double Dummy Makes

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

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

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
100		9.00	0.00	6N	E	-1	+1	7-Chinn-Binney	10-Chen-Bailey
	650	8.00	1.00	4♥	W	5	+1	3-Ye-Ye	1-Rustagi-Mendiratta
	680	6.00	3.00	5♥	W	6	-	1-Hart-Campbell	7-English-Bovarnick
	680	6.00	3.00	4♥	E	6	-	10-Bailey-Tracy	6-Bukowski-Toomey
	680	6.00	3.00	4♥	W	6	-	8-Raman-Raman	2-Shen-Moen
	690	3.50	5.50	3N	E	6	-	4-Ottersen-King	3-Bolson-Lewis
	690	3.50	5.50	3N	E	6	-	6-Gokhale-Gokhale	8-Fox-Gilman
	1430	1.50	7.50	6♥	W	6	-	5-Joinette-Sax	5-Doland-Wells
	1430	1.50	7.50	6♥	W	6	-	9-Decker-Hauck	4-Kirk-Marx
	1460	0.00	9.00	6♥	E	7	-1	2-Gray-Reams	9-Boarman-Arsene

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

14

♠AT42
♥2
♦9862
♣T982

Dlr: East
Vul: None

♠KQ73
♥AT64
♦J54
♣Q5

♠J9
♥KJ3
♦KQT3
♣A643

♠865
♥Q9875
♦A7
♣KJ7

	4
12		14
	10

Double Dummy Makes

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

LoTT: 14 - 14 = 0
Par: -430 4N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
50		9.00	0.00	4♥	W	-1	-1	4-Ottersen-King	3-Bolson-Lewis
	150	8.00	1.00	2N	E	3	+1	10-Bailey-Tracy	6-Bukowski-Toomey
	180	7.00	2.00	2N	E	4	-	8-Raman-Raman	2-Shen-Moen
	430	4.00	5.00	3N	E	4	-	5-Joinette-Sax	5-Doland-Wells
	430	4.00	5.00	3N	E	4	-	3-Ye-Ye	1-Rustagi-Mendiratta
	430	4.00	5.00	3N	E	4	-	2-Gray-Reams	9-Boarman-Arsene
	430	4.00	5.00	3N	E	4	-	9-Decker-Hauck	4-Kirk-Marx
	430	4.00	5.00	3N	W	4	-	6-Gokhale-Gokhale	8-Fox-Gilman
	460	0.50	8.50	3N	E	5	-1	1-Hart-Campbell	7-English-Bovarnick
	460	0.50	8.50	3N	W	5	-1	7-Chinn-Binney	10-Chen-Bailey

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

15

♠T872
♥Q8
♦AQT42
♣Q5

Dlr: South
Vul: N-S

♠AKJ65
♥AK
♦63
♣T732

♠Q93
♥T754
♦K97
♣864

♠4
♥J9632
♦J85
♣AKJ9

	10
15		5
	10

Double Dummy Makes

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

LoTT: 17 - 16 = 1
Par: 100 3N*-EW-1/3S*-EW-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
110		9.00	0.00	3♦	N	3	-	8-Raman-Raman	2-Shen-Moen
50		8.00	1.00	3♠	W	-1	-	4-Ottersen-King	3-Bolson-Lewis
	110	6.00	3.00	2♠	W	2	-	2-Gray-Reams	9-Boarman-Arsene
	110	6.00	3.00	2♠	W	2	-	1-Hart-Campbell	7-English-Bovarnick
	110	6.00	3.00	2♠	W	2	-	10-Bailey-Tracy	6-Bukowski-Toomey
	140	2.50	6.50	3♠	W	3	-1	5-Joinette-Sax	5-Doland-Wells
	140	2.50	6.50	3♠	W	3	-1	3-Ye-Ye	1-Rustagi-Mendiratta
	140	2.50	6.50	2♠	W	3	-1	9-Decker-Hauck	4-Kirk-Marx
	140	2.50	6.50	2♠	W	3	-1	7-Chinn-Binney	10-Chen-Bailey
	200	0.00	9.00	4♦*	N	-1	-	6-Gokhale-Gokhale	8-Fox-Gilman

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

16

♠K6
♥Q865
♦AK6
♣AQ85

Dlr: West
Vul: E-W

♠T
♥A32
♦QJT973
♣642

♠AJ74
♥JT94
♦52
♣KT3

♠Q98532
♥K7
♦84
♣J97

	18
7		9
	6

Double Dummy Makes

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

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

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
400		9.00	0.00	3N	N	3	+1	6-Gokhale-Gokhale	9-Boarman-Arsene
140		6.50	2.50	3♠	S	3	-	10-Bailey-Tracy	7-English-Bovarnick
140		6.50	2.50	3♠	N	3	-	3-Ye-Ye	10-Chen-Bailey
140		6.50	2.50	3♠	N	3	-	2-Gray-Reams	8-Fox-Gilman
140		6.50	2.50	3♠	N	3	-	9-Decker-Hauck	5-Doland-Wells
	50	2.50	6.50	4♠	N	-1	-	5-Joinette-Sax	4-Kirk-Marx
	50	2.50	6.50	3N	N	-1	-	4-Ottersen-King	2-Shen-Moen
	50	2.50	6.50	3N	N	-1	-	8-Raman-Raman	3-Bolson-Lewis
	50	2.50	6.50	4♣	N	-1	+1	7-Chinn-Binney	1-Rustagi-Mendiratta
	100	0.00	9.00	3N	N	-2	-1	1-Hart-Campbell	6-Bukowski-Toomey

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

17

♠AQ64
♥JT
♦8
♣986532

Dlr: North
Vul: None

♠7
♥87
♦AJ9652
♣AJT7

♠J92
♥9653
♦KQ73
♣K4

♠KT853
♥AKQ42
♦T4
♣Q

	7
10		9
	14

Double Dummy Makes

	♣	♦	♥	♠	NT
North	8	3	10	11	3
South	8	3	10	11	3
East	4	10	3	1	3
West	4	10	3	1	3

LoTT: 21 - 19 = 2
Par: 300 6D*-EW-2

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
450		7.00	2.00	4♠	S	5	-	4-Ottersen-King	2-Shen-Moen
450		7.00	2.00	4♠	S	5	-	10-Bailey-Tracy	7-English-Bovarnick
450		7.00	2.00	4♠	N	5	-	2-Gray-Reams	8-Fox-Gilman
450		7.00	2.00	5♠	S	5	-	7-Chinn-Binney	1-Rustagi-Mendiratta
450		7.00	2.00	4♠	S	5	-	6-Gokhale-Gokhale	9-Boarman-Arsene
200		4.00	5.00	2♠	S	5	-	9-Decker-Hauck	5-Doland-Wells
100		3.00	6.00	5♦*	W	-1	-	3-Ye-Ye	10-Chen-Bailey
50		2.00	7.00	5♦	W	-1	-	5-Joinette-Sax	4-Kirk-Marx
	50	1.00	8.00	5♠	N	-1	-1	1-Hart-Campbell	6-Bukowski-Toomey
	130	0.00	9.00	4♦	W	4	-	8-Raman-Raman	3-Bolson-Lewis

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

18

♠QT75
♥KJ7
♦KT97
♣65

Dlr: East
Vul: N-S

♠J9864
♥98542
♦8
♣JT

♠A2
♥T63
♦AJ42
♣Q982

♠K3
♥AQ
♦Q653
♣AK743

	9
2		11
	18

Double Dummy Makes

	♣	♦	♥	♠	NT
North	8	11	7	9	9
South	8	11	7	9	9
East	4	2	5	4	3
West	4	2	5	4	3

LoTT: 16 - 16 = 0
Par: 600 3N-NS/5D-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
800		9.00	0.00	4♥*	W	-4	-1	10-Bailey-Tracy	7-English-Bovarnick
630		7.50	1.50	3N	N	4	+1	2-Gray-Reams	8-Fox-Gilman
630		7.50	1.50	3N	N	4	+1	1-Hart-Campbell	6-Bukowski-Toomey
600		5.50	3.50	3N	N	3	-	3-Ye-Ye	10-Chen-Bailey
600		5.50	3.50	3N	S	3	-	8-Raman-Raman	3-Bolson-Lewis
150		4.00	5.00	2N	S	3	-	4-Ottersen-King	2-Shen-Moen
	100	1.50	7.50	3N	S	-1	-1	5-Joinette-Sax	4-Kirk-Marx
	100	1.50	7.50	3N	S	-1	-1	9-Decker-Hauck	5-Doland-Wells
	100	1.50	7.50	3N	S	-1	-1	7-Chinn-Binney	1-Rustagi-Mendiratta
	100	1.50	7.50	3N	S	-1	-1	6-Gokhale-Gokhale	9-Boarman-Arsene

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

19

♠AQT
♥Q975
♦KJ
♣QT64

Dlr: South
Vul: E-W

♠KJ8
♥AKJ843
♦93
♣A2

♠743
♥2
♦AT65
♣KJ985

♠9652
♥T6
♦Q8742
♣73

	14
16		8
	2

Double Dummy Makes

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

LoTT: 15 - 14 = 1
Par: -600 3N-E

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
200		8.50	0.50	4♥	W	-2	+1	10-Bailey-Tracy	8-Fox-Gilman
200		8.50	0.50	2♥	W	-2	+3	4-Ottersen-King	1-Rustagi-Mendiratta
100		6.00	3.00	2♥	W	-1	+2	3-Ye-Ye	9-Boarman-Arsene
100		6.00	3.00	3♥	W	-1	+1	7-Chinn-Binney	2-Shen-Moen
100		6.00	3.00	3♥	W	-1	+1	6-Gokhale-Gokhale	10-Chen-Bailey
	110	2.50	6.50	2♥	W	2	+1	5-Joinette-Sax	3-Bolson-Lewis
	110	2.50	6.50	2♥	W	2	+1	9-Decker-Hauck	6-Bukowski-Toomey
	110	2.50	6.50	2♥	W	2	+1	8-Raman-Raman	4-Kirk-Marx
	110	2.50	6.50	2♥	W	2	+1	1-Hart-Campbell	5-Doland-Wells
	170	0.00	9.00	2♥	W	4	-1	2-Gray-Reams	7-English-Bovarnick

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

20

♠J7
♥K8643
♦AQ92
♣AQ

Dlr: West
Vul: Both

♠K9832
♥QT2
♦-
♣75432

♠QT5
♥A7
♦KT873
♣JT6

♠A64
♥J95
♦J654
♣K98

	16
5		10
	9

Double Dummy Makes

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

LoTT: 16 - 16 = 0
Par: -110 2S-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
180		9.00	0.00	2N	N	4	+3	10-Bailey-Tracy	8-Fox-Gilman
170		7.50	1.50	2♥	N	4	+2	9-Decker-Hauck	6-Bukowski-Toomey
170		7.50	1.50	2♥	N	4	+2	6-Gokhale-Gokhale	10-Chen-Bailey
140		5.00	4.00	3♥	N	3	+1	4-Ottersen-King	1-Rustagi-Mendiratta
140		5.00	4.00	2♥	N	3	+1	2-Gray-Reams	7-English-Bovarnick
140		5.00	4.00	2♥	N	3	+1	1-Hart-Campbell	5-Doland-Wells
	100	2.00	7.00	4♥	N	-1	+1	5-Joinette-Sax	3-Bolson-Lewis
	100	2.00	7.00	4♥	N	-1	+1	3-Ye-Ye	9-Boarman-Arsene
	100	2.00	7.00	4♥	N	-1	+1	7-Chinn-Binney	2-Shen-Moen
	200	0.00	9.00	4♥	N	-2	-	8-Raman-Raman	4-Kirk-Marx

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

21

♠AQ94
♥932
♦9876
♣J5

Dlr: North
Vul: N-S

♠J732
♥KQ54
♦KT4
♣AQ

♠K6
♥T76
♦AQ532
♣973

♠T85
♥AJ8
♦J
♣KT8642

	7
15		9
	9

Double Dummy Makes

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

LoTT: 16 - 16 = 0
Par: -420 4H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
100		9.00	0.00	3N	W	-2	+2	2-Gray-Reams	7-English-Bovarnick
	130	7.50	1.50	2♦	W	4	-	9-Decker-Hauck	6-Bukowski-Toomey
	130	7.50	1.50	2♦	E	4	-	6-Gokhale-Gokhale	10-Chen-Bailey
	150	5.50	3.50	2N	W	3	-	10-Bailey-Tracy	8-Fox-Gilman
	150	5.50	3.50	2N	W	3	-	3-Ye-Ye	9-Boarman-Arsene
	180	4.00	5.00	1N	E	4	-1	4-Ottersen-King	1-Rustagi-Mendiratta
	210	3.00	6.00	2N	W	5	-2	1-Hart-Campbell	5-Doland-Wells
	400	1.50	7.50	2♠	N	-4	-1	5-Joinette-Sax	3-Bolson-Lewis
	400	1.50	7.50	3N	W	3	-	8-Raman-Raman	4-Kirk-Marx
	430	0.00	9.00	3N	W	4	-1	7-Chinn-Binney	2-Shen-Moen

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

22

♠Q
♥QJ83
♦KJ
♣QJ9543

Dlr: East
Vul: E-W

♠T64
♥742
♦8542
♣AT7

♠A9853
♥T96
♦A63
♣82

♠KJ72
♥AK5
♦QT97
♣K6

	12
4		8
	16

Double Dummy Makes

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

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

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
460		7.50	1.50	3N	S	5	+1	10-Bailey-Tracy	9-Boarman-Arsene
460		7.50	1.50	3N	S	5	+1	9-Decker-Hauck	7-English-Bovarnick
460		7.50	1.50	3N	S	5	+1	7-Chinn-Binney	3-Bolson-Lewis
460		7.50	1.50	3N	S	5	+1	2-Gray-Reams	6-Bukowski-Toomey
430		2.50	6.50	3N	S	4	-	5-Joinette-Sax	2-Shen-Moen
430		2.50	6.50	3N	S	4	-	8-Raman-Raman	5-Doland-Wells
430		2.50	6.50	3N	S	4	-	4-Ottersen-King	10-Chen-Bailey
430		2.50	6.50	3N	S	4	-	3-Ye-Ye	8-Fox-Gilman
430		2.50	6.50	3N	S	4	-	6-Gokhale-Gokhale	1-Rustagi-Mendiratta
430		2.50	6.50	3N	S	4	-	1-Hart-Campbell	4-Kirk-Marx

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

23

♠QJ2
♥T987
♦96
♣KJ74

Dlr: South
Vul: Both

♠98
♥AQ5
♦AQ8542
♣A8

♠T765
♥KJ2
♦KT7
♣T32

♠AK43
♥643
♦J3
♣Q965

	7
16		7
	10

Double Dummy Makes

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

LoTT: 17 - 17 = 0
Par: -600 3N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	130	7.00	2.00	2♦	W	4	-	9-Decker-Hauck	7-English-Bovarnick
	130	7.00	2.00	2♦	W	4	-	5-Joinette-Sax	2-Shen-Moen
	130	7.00	2.00	3♦	W	4	-	4-Ottersen-King	10-Chen-Bailey
	130	7.00	2.00	3♦	W	4	-	7-Chinn-Binney	3-Bolson-Lewis
	130	7.00	2.00	3♦	W	4	-	2-Gray-Reams	6-Bukowski-Toomey
	180	3.00	6.00	1N	W	4	-1	10-Bailey-Tracy	9-Boarman-Arsene
	180	3.00	6.00	1N	W	4	-1	6-Gokhale-Gokhale	1-Rustagi-Mendiratta
	180	3.00	6.00	1N	W	4	-1	1-Hart-Campbell	4-Kirk-Marx
	600	1.00	8.00	5♦	W	5	-1	8-Raman-Raman	5-Doland-Wells
	630	0.00	9.00	3N	E	4	-1	3-Ye-Ye	8-Fox-Gilman

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

24

♠A842
♥AKQ
♦KT732
♣K

Dlr: West
Vul: None

♠KQT65
♥J6
♦AJ9
♣A83

♠7
♥54
♦Q654
♣J97642

♠J93
♥T98732
♦8
♣QT5

	19
15		3
	3

Double Dummy Makes

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

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

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
420		9.00	0.00	4♥	S	4	+1	6-Gokhale-Gokhale	1-Rustagi-Mendiratta
200		8.00	1.00	3♥	S	5	+2	2-Gray-Reams	6-Bukowski-Toomey
170		7.00	2.00	3♥	S	4	+1	10-Bailey-Tracy	9-Boarman-Arsene
140		5.50	3.50	2♥	N	3	-	9-Decker-Hauck	7-English-Bovarnick
140		5.50	3.50	3♥	S	3	-	8-Raman-Raman	5-Doland-Wells
	50	3.50	5.50	3♥	S	-1	-1	4-Ottersen-King	10-Chen-Bailey
	50	3.50	5.50	4♥	S	-1	-	3-Ye-Ye	8-Fox-Gilman
	80	2.00	7.00	1♠	W	1	-2	7-Chinn-Binney	3-Bolson-Lewis
	100	0.50	8.50	2♦	N	-2	-	5-Joinette-Sax	2-Shen-Moen
	100	0.50	8.50	2♦	N	-2	-	1-Hart-Campbell	4-Kirk-Marx

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

25

♠AK852
♥T32
♦KQ8
♣J3

Dlr: North
Vul: E-W

♠43
♥AJ964
♦-
♣AKT742

♠Q97
♥K875
♦A95
♣985

♠JT6
♥Q
♦JT76432
♣Q6

	13
12		9
	6

Double Dummy Makes

	♣	♦	♥	♠	NT
North	1	8	0	6	1
South	1	8	0	7	1
East	11	5	11	6	11
West	11	5	11	6	11

LoTT: 19 - 19 = 0
Par: -660 5N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	50	8.50	0.50	3♠	N	-1	+2	3-Ye-Ye	7-English-Bovarnick
	50	8.50	0.50	2♠	N	-1	+1	2-Gray-Reams	5-Doland-Wells
	100	6.50	2.50	4♦	S	-2	-	7-Chinn-Binney	4-Kirk-Marx
	100	6.50	2.50	3♠	N	-2	+1	5-Joinette-Sax	1-Rustagi-Mendiratta
	150	5.00	4.00	4♠	N	-3	+1	6-Gokhale-Gokhale	2-Shen-Moen
	170	4.00	5.00	3♣	W	6	-1	10-Bailey-Tracy	10-Chen-Bailey
	230	3.00	6.00	3♥	W	6	-1	9-Decker-Hauck	8-Fox-Gilman
	650	1.00	8.00	4♥	E	5	-	8-Raman-Raman	6-Bukowski-Toomey
	650	1.00	8.00	5♥	E	5	-	4-Ottersen-King	9-Boarman-Arsene
	650	1.00	8.00	4♥	E	5	-	1-Hart-Campbell	3-Bolson-Lewis

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

26

♠KJ9
♥K52
♦A9743
♣53

Dlr: East
Vul: Both

♠T85
♥J87
♦QJT
♣8762

♠73
♥QT
♦K652
♣QJT94

♠AQ642
♥A9643
♦8
♣AK

	11
4		8
	17

Double Dummy Makes

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

LoTT: 18 - 17 = 1
Par: 1430 6S-NS/6H-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
1430		7.50	1.50	6♠	S	6	-	9-Decker-Hauck	8-Fox-Gilman
1430		7.50	1.50	6♠	S	6	-	5-Joinette-Sax	1-Rustagi-Mendiratta
1430		7.50	1.50	6♠	S	6	-	6-Gokhale-Gokhale	2-Shen-Moen
1430		7.50	1.50	6♠	S	6	-	2-Gray-Reams	5-Doland-Wells
680		3.50	5.50	4♠	S	6	-	10-Bailey-Tracy	10-Chen-Bailey
680		3.50	5.50	4♠	S	6	-	8-Raman-Raman	6-Bukowski-Toomey
680		3.50	5.50	4♠	S	6	-	4-Ottersen-King	9-Boarman-Arsene
680		3.50	5.50	5♠	S	6	-	3-Ye-Ye	7-English-Bovarnick
230		1.00	8.00	2♠	S	6	-	1-Hart-Campbell	3-Bolson-Lewis
	100	0.00	9.00	6♠	S	-1	-1	7-Chinn-Binney	4-Kirk-Marx

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

27

♠J872
♥J63
♦JT632
♣2

Dlr: South
Vul: None

♠9
♥AK7
♦9854
♣KJ985

♠AKQ65
♥T2
♦AK7
♣T73

♠T43
♥Q9854
♦Q
♣AQ64

	3
11		16
	10

Double Dummy Makes

	♣	♦	♥	♠	NT
North	1	4	4	2	1
South	1	4	4	2	1
East	12	9	8	10	12
West	12	9	8	10	12

LoTT: 16 - 16 = 0
Par: -990 6N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
50		8.50	0.50	3N	W	-1	+4	10-Bailey-Tracy	10-Chen-Bailey
50		8.50	0.50	3♦	E	-1	+1	2-Gray-Reams	5-Doland-Wells
	100	7.00	2.00	2♥*	S	-1	+3	8-Raman-Raman	6-Bukowski-Toomey
	240	6.00	3.00	1N	W	6	-	1-Hart-Campbell	3-Bolson-Lewis
	400	4.50	4.50	3N	W	3	+3	9-Decker-Hauck	8-Fox-Gilman
	400	4.50	4.50	3N	W	3	+3	4-Ottersen-King	9-Boarman-Arsene
	430	3.00	6.00	3N	W	4	+2	7-Chinn-Binney	4-Kirk-Marx
	460	1.50	7.50	3N	E	5	+1	5-Joinette-Sax	1-Rustagi-Mendiratta
	460	1.50	7.50	3N	W	5	+1	3-Ye-Ye	7-English-Bovarnick
	1100	0.00	9.00	4♠*	N	-5	+3	6-Gokhale-Gokhale	2-Shen-Moen

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