1
♠ QJT3
♥ 865
♦ A53
♣ AQ3
Dlr: North Vul: None
♠ 65
♥ Q942
♦ KQT76
♣ 98
♠ A742
♥ AK
♦ J8
♣ KJT62
Double Dummy Makes
♣
♦
♥
♠
NT
North
4
3
4
5
5
South
4
3
4
5
5
East
8
10
9
8
8
West
8
10
9
8
8
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
100
10.00
1.00
4♥
E
-2
+1
3-Pocock-Lenobel
5-Affleck-Affleck
100
10.00
1.00
3N
E
-2
+1
9-Huang-Chuang
4-Noort-Franko
100
10.00
1.00
3N
E
-2
+1
8-Miller-Schroder
2-Oishi-Oishi
90
7.50
3.50
2♣
E
-
1-Parker-Parker
1-Joba-Fullbrook
90
7.50
3.50
1N
E
+1
5-Van Horne-Karlgren
9-Gilraine-Gilraine
120
5.50
5.50
1N
E
+1
-
4-Maher-Shepherd
7-Cowan-Olson
120
5.50
5.50
1N
E
+1
-
6-Yamanouchi-Yamanouchi
11-Cheng-Walker
140
4.00
7.00
2♥
W
+1
-
13-Morse-Shannon
12-Freeman-Lum
150
3.00
8.00
1N
E
+2
-1
2-Brackenbury-Reid
3-Boruta-Boruta
180
2.00
9.00
1N
E
+3
-2
10-Studin-Clayton
6-Wooden-Bourbonnais
300
1.00
10.00
1♠ *
N
-2
-
12-Blacklock-Blacklock
10-Fuhrman-Hesson
430
0.00
11.00
3N
E
+1
-2
11-Brazeau-Strebinger
8-Nist-Christiansen
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
2
♠ 83
♥ A9
♦ JT98432
♣ 84
Dlr: East Vul: N-S
♠ 97
♥ JT6432
♦ A
♣ 7532
♠ Q652
♥ K87
♦ 75
♣ QJT9
Double Dummy Makes
♣
♦
♥
♠
NT
North
6
12
6
10
12
South
6
12
6
10
7
East
6
1
6
2
1
West
6
1
6
1
1
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
1370
10.50
0.50
6♦
N
-
1-Parker-Parker
1-Joba-Fullbrook
1370
10.50
0.50
6♦
N
-
3-Pocock-Lenobel
5-Affleck-Affleck
660
9.00
2.00
3N
S
+2
+4
9-Huang-Chuang
4-Noort-Franko
620
8.00
3.00
5♦
N
+1
-
11-Brazeau-Strebinger
8-Nist-Christiansen
600
7.00
4.00
5♦
N
-1
4-Maher-Shepherd
7-Cowan-Olson
100
5.50
5.50
6♦
N
-1
-1
12-Blacklock-Blacklock
10-Fuhrman-Hesson
100
5.50
5.50
6N
S
-1
+4
6-Yamanouchi-Yamanouchi
11-Cheng-Walker
200
2.50
8.50
3N
S
-2
-
5-Van Horne-Karlgren
9-Gilraine-Gilraine
200
2.50
8.50
4♠
S
-2
-2
2-Brackenbury-Reid
3-Boruta-Boruta
200
2.50
8.50
3N
S
-2
-
13-Morse-Shannon
12-Freeman-Lum
200
2.50
8.50
3N
S
-2
-
10-Studin-Clayton
6-Wooden-Bourbonnais
500
0.00
11.00
6N
S
-5
-
8-Miller-Schroder
2-Oishi-Oishi
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
3
♠ KQT3
♥ 964
♦ Q953
♣ 62
Dlr: South Vul: E-W
♠ 9876
♥ JT2
♦ A4
♣ A875
♠ A54
♥ KQ5
♦ K8762
♣ T3
Double Dummy Makes
♣
♦
♥
♠
NT
North
6
6
5
5
7
South
6
6
5
5
7
East
7
7
7
7
6
West
7
7
7
7
6
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
100
10.00
1.00
2♦
E
-1
-
3-Pocock-Lenobel
4-Noort-Franko
100
10.00
1.00
2♦
E
-1
-
8-Miller-Schroder
1-Joba-Fullbrook
100
10.00
1.00
2♦
E
-1
-
7-Morse-Ayukawa
12-Freeman-Lum
90
8.00
3.00
1N
S
-
9-Huang-Chuang
3-Boruta-Boruta
50
7.00
4.00
4♣
S
-1
+3
10-Studin-Clayton
5-Affleck-Affleck
90
6.00
5.00
1N
W
-1
13-Morse-Shannon
11-Cheng-Walker
100
3.50
7.50
3♣
S
-2
+1
2-Brackenbury-Reid
2-Oishi-Oishi
100
3.50
7.50
2♣
S
-2
-
6-Yamanouchi-Yamanouchi
10-Fuhrman-Hesson
100
3.50
7.50
2♣
S
-2
-
12-Blacklock-Blacklock
9-Gilraine-Gilraine
100
3.50
7.50
2♣
S
-2
-
11-Brazeau-Strebinger
7-Cowan-Olson
150
0.50
10.50
3♣
S
-3
-
5-Van Horne-Karlgren
8-Nist-Christiansen
150
0.50
10.50
3N
N
-3
-1
4-Maher-Shepherd
6-Wooden-Bourbonnais
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
4
♠ J32
♥ Q2
♦ K876
♣ A854
Dlr: West Vul: Both
♠ AQ5
♥ JT83
♦ T93
♣ T97
♠ K96
♥ K976
♦ Q542
♣ K6
Double Dummy Makes
♣
♦
♥
♠
NT
North
8
6
5
7
6
South
8
6
5
7
6
East
5
6
8
6
6
West
5
6
8
5
6
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
120
10.00
1.00
1N
N
+1
+2
3-Pocock-Lenobel
4-Noort-Franko
120
10.00
1.00
1N
N
+1
+2
12-Blacklock-Blacklock
9-Gilraine-Gilraine
120
10.00
1.00
1N
N
+1
+2
8-Miller-Schroder
1-Joba-Fullbrook
110
8.00
3.00
2♠
N
+1
13-Morse-Shannon
11-Cheng-Walker
90
7.00
4.00
1N
S
+1
6-Yamanouchi-Yamanouchi
10-Fuhrman-Hesson
100
6.00
5.00
2♠
S
-1
-
9-Huang-Chuang
3-Boruta-Boruta
110
2.50
8.50
2♥
W
-
2-Brackenbury-Reid
2-Oishi-Oishi
110
2.50
8.50
2♥
W
-
5-Van Horne-Karlgren
8-Nist-Christiansen
110
2.50
8.50
1♥
W
+1
-
4-Maher-Shepherd
6-Wooden-Bourbonnais
110
2.50
8.50
2♥
E
-
11-Brazeau-Strebinger
7-Cowan-Olson
110
2.50
8.50
2♥
W
-
10-Studin-Clayton
5-Affleck-Affleck
110
2.50
8.50
2♥
W
-
7-Morse-Ayukawa
12-Freeman-Lum
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
5
♠ A9
♥ KQ92
♦ 75
♣ AT642
Dlr: North Vul: N-S
♠ T654
♥ T43
♦ KQ3
♣ 985
♠ QJ832
♥ A75
♦ J984
♣ K
Double Dummy Makes
♣
♦
♥
♠
NT
North
11
8
11
6
10
South
11
8
11
6
10
East
2
5
2
7
2
West
2
5
2
7
2
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
650
11.00
0.00
4♥
N
+1
-
13-Morse-Shannon
10-Fuhrman-Hesson
600
9.50
1.50
3N
S
-1
7-Morse-Ayukawa
11-Cheng-Walker
600
9.50
1.50
3N
N
-1
1-Parker-Parker
12-Freeman-Lum
130
6.00
5.00
3♣
N
+1
-1
3-Pocock-Lenobel
3-Boruta-Boruta
130
6.00
5.00
2♣
N
+2
-1
5-Van Horne-Karlgren
7-Cowan-Olson
130
6.00
5.00
4♣
N
-1
12-Blacklock-Blacklock
8-Nist-Christiansen
130
6.00
5.00
3♣
N
+1
-1
11-Brazeau-Strebinger
6-Wooden-Bourbonnais
130
6.00
5.00
3♣
N
+1
-1
9-Huang-Chuang
2-Oishi-Oishi
50
2.50
8.50
2♠
E
-1
-
4-Maher-Shepherd
5-Affleck-Affleck
50
2.50
8.50
2♠
E
-1
-
2-Brackenbury-Reid
1-Joba-Fullbrook
100
0.50
10.50
3N
N
-1
-2
6-Yamanouchi-Yamanouchi
9-Gilraine-Gilraine
100
0.50
10.50
3N
S
-1
-2
10-Studin-Clayton
4-Noort-Franko
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
6
♠ -
♥ Q9874
♦ 87653
♣ 643
Dlr: East Vul: E-W
♠ K62
♥ J
♦ T42
♣ KQJT92
♠ 8743
♥ AT52
♦ QJ
♣ A75
Double Dummy Makes
♣
♦
♥
♠
NT
North
4
9
10
8
5
South
4
9
10
8
5
East
8
2
3
5
8
West
8
2
3
5
8
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
800
11.00
0.00
5♣ *
E
-3
-
10-Studin-Clayton
4-Noort-Franko
170
10.00
1.00
2♠
S
+2
+2
11-Brazeau-Strebinger
6-Wooden-Bourbonnais
140
9.00
2.00
3♠
S
+1
9-Huang-Chuang
2-Oishi-Oishi
80
8.00
3.00
1♠
S
-1
1-Parker-Parker
12-Freeman-Lum
50
4.00
7.00
3♠
S
-1
-
3-Pocock-Lenobel
3-Boruta-Boruta
50
4.00
7.00
3♠
S
-1
-
7-Morse-Ayukawa
11-Cheng-Walker
50
4.00
7.00
3♠
S
-1
-
6-Yamanouchi-Yamanouchi
9-Gilraine-Gilraine
50
4.00
7.00
3♠
S
-1
-
5-Van Horne-Karlgren
7-Cowan-Olson
50
4.00
7.00
3♠
S
-1
-
4-Maher-Shepherd
5-Affleck-Affleck
50
4.00
7.00
3♠
S
-1
-
2-Brackenbury-Reid
1-Joba-Fullbrook
50
4.00
7.00
4♠
S
-1
+1
13-Morse-Shannon
10-Fuhrman-Hesson
100
0.00
11.00
4♠
S
-2
-
12-Blacklock-Blacklock
8-Nist-Christiansen
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
7
♠ AJT96
♥ -
♦ QT843
♣ K92
Dlr: South Vul: Both
♠ 43
♥ KJT953
♦ AJ9
♣ Q6
♠ 8
♥ Q4
♦ K7652
♣ AJT87
Double Dummy Makes
♣
♦
♥
♠
NT
North
5
4
4
10
6
South
2
4
2
10
6
East
7
8
9
3
7
West
7
8
8
2
7
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
650
10.50
0.50
5♠
N
+1
5-Van Horne-Karlgren
6-Wooden-Bourbonnais
650
10.50
0.50
4♠
S
+1
+1
10-Studin-Clayton
3-Boruta-Boruta
620
8.00
3.00
4♠
N
-
8-Miller-Schroder
12-Freeman-Lum
620
8.00
3.00
4♠
N
-
3-Pocock-Lenobel
2-Oishi-Oishi
620
8.00
3.00
4♠
S
-
11-Brazeau-Strebinger
5-Affleck-Affleck
200
6.00
5.00
5♥ *
W
-1
-2
9-Huang-Chuang
1-Joba-Fullbrook
170
5.00
6.00
3♠
S
+1
-
6-Yamanouchi-Yamanouchi
8-Nist-Christiansen
100
3.00
8.00
4♠
S
-1
-1
4-Maher-Shepherd
4-Noort-Franko
100
3.00
8.00
4♠
N
-1
-1
1-Parker-Parker
11-Cheng-Walker
100
3.00
8.00
4♠
S
-1
-1
13-Morse-Shannon
9-Gilraine-Gilraine
140
1.00
10.00
3♥
W
-1
12-Blacklock-Blacklock
7-Cowan-Olson
200
0.00
11.00
4♠ *
N
-1
-1
7-Morse-Ayukawa
10-Fuhrman-Hesson
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
8
♠ QT9842
♥ T87
♦ 94
♣ 86
Dlr: West Vul: None
♠ A
♥ 9654
♦ J5
♣ KJT952
♠ 765
♥ AJ32
♦ KQ763
♣ 7
Double Dummy Makes
♣
♦
♥
♠
NT
North
4
5
4
9
8
South
4
5
4
9
8
East
9
8
9
4
5
West
9
8
9
4
5
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
300
11.00
0.00
5♥ *
W
-2
-
8-Miller-Schroder
12-Freeman-Lum
170
10.00
1.00
3♠
N
+1
+1
4-Maher-Shepherd
4-Noort-Franko
150
9.00
2.00
2N
S
+1
+1
1-Parker-Parker
11-Cheng-Walker
140
7.00
4.00
2♠
S
+1
-
5-Van Horne-Karlgren
6-Wooden-Bourbonnais
140
7.00
4.00
2♠
N
+1
-
3-Pocock-Lenobel
2-Oishi-Oishi
140
7.00
4.00
3♠
N
-
12-Blacklock-Blacklock
7-Cowan-Olson
110
5.00
6.00
2♠
N
-1
7-Morse-Ayukawa
10-Fuhrman-Hesson
50
3.00
8.00
2♠
S
-1
-2
6-Yamanouchi-Yamanouchi
8-Nist-Christiansen
50
3.00
8.00
4♠
S
-1
-
11-Brazeau-Strebinger
5-Affleck-Affleck
50
3.00
8.00
4♠
S
-1
-
9-Huang-Chuang
1-Joba-Fullbrook
100
1.00
10.00
4♠
N
-2
-1
13-Morse-Shannon
9-Gilraine-Gilraine
530
0.00
11.00
3♥ *
W
-
10-Studin-Clayton
3-Boruta-Boruta
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
9
♠ -
♥ AK652
♦ 9632
♣ KQ96
Dlr: North Vul: E-W
♠ QT853
♥ QJT74
♦ A
♣ AJ
♠ KJ764
♥ 3
♦ J5
♣ 87543
Double Dummy Makes
♣
♦
♥
♠
NT
North
6
10
8
3
7
South
6
10
8
3
7
East
7
2
5
10
4
West
7
2
5
10
4
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
200
11.00
0.00
5♠
E
-2
+1
8-Miller-Schroder
11-Cheng-Walker
150
9.00
2.00
4♦
S
+1
+1
7-Morse-Ayukawa
9-Gilraine-Gilraine
150
9.00
2.00
2♦
S
+3
+1
2-Brackenbury-Reid
12-Freeman-Lum
150
9.00
2.00
3♦
S
+2
+1
12-Blacklock-Blacklock
6-Wooden-Bourbonnais
50
6.50
4.50
5♦
S
-1
-
5-Van Horne-Karlgren
5-Affleck-Affleck
50
6.50
4.50
3N
S
-1
+1
4-Maher-Shepherd
3-Boruta-Boruta
100
5.00
6.00
5♦ *
S
-1
-
6-Yamanouchi-Yamanouchi
7-Cowan-Olson
170
3.50
7.50
3♠
W
+1
-
3-Pocock-Lenobel
1-Joba-Fullbrook
170
3.50
7.50
3♠
W
+1
-
1-Parker-Parker
10-Fuhrman-Hesson
300
2.00
9.00
6♦ *
S
-2
-
11-Brazeau-Strebinger
4-Noort-Franko
620
1.00
10.00
4♠
W
-
10-Studin-Clayton
2-Oishi-Oishi
790
0.00
11.00
4♠ *
E
-
13-Morse-Shannon
8-Nist-Christiansen
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
10
♠ A85
♥ J
♦ Q9872
♣ T976
Dlr: East Vul: Both
♠ T62
♥ K632
♦ 3
♣ KQ843
♠ KQ94
♥ AQ98754
♦ 6
♣ 2
Double Dummy Makes
♣
♦
♥
♠
NT
North
6
9
3
3
6
South
6
9
3
3
6
East
7
4
10
9
5
West
7
4
10
9
5
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
400
11.00
0.00
5♥ **
E
-1
-
2-Brackenbury-Reid
12-Freeman-Lum
100
7.00
4.00
5♥
E
-1
-
8-Miller-Schroder
11-Cheng-Walker
100
7.00
4.00
5♥
E
-1
-
7-Morse-Ayukawa
9-Gilraine-Gilraine
100
7.00
4.00
5♥
E
-1
-
6-Yamanouchi-Yamanouchi
7-Cowan-Olson
100
7.00
4.00
5♥
W
-1
-
3-Pocock-Lenobel
1-Joba-Fullbrook
100
7.00
4.00
5♥
E
-1
-
1-Parker-Parker
10-Fuhrman-Hesson
100
7.00
4.00
5♥
E
-1
-
13-Morse-Shannon
8-Nist-Christiansen
100
7.00
4.00
5♥
E
-1
-
10-Studin-Clayton
2-Oishi-Oishi
620
2.00
9.00
4♥
E
-
5-Van Horne-Karlgren
5-Affleck-Affleck
620
2.00
9.00
4♥
E
-
4-Maher-Shepherd
3-Boruta-Boruta
620
2.00
9.00
4♥
E
-
12-Blacklock-Blacklock
6-Wooden-Bourbonnais
990
0.00
11.00
4♥ *
E
+1
-1
11-Brazeau-Strebinger
4-Noort-Franko
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
11
♠ Q7
♥ A853
♦ 872
♣ QJT3
Dlr: South Vul: None
♠ KT3
♥ KQJ6
♦ KQJ3
♣ K2
♠ AJ652
♥ T92
♦ 954
♣ 96
Double Dummy Makes
♣
♦
♥
♠
NT
North
7
3
4
3
4
South
7
3
4
3
4
East
6
9
9
10
7
West
6
9
9
10
7
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
50
10.00
1.00
2N
W
-1
-
4-Maher-Shepherd
2-Oishi-Oishi
50
10.00
1.00
3♠
E
-1
+2
13-Morse-Shannon
7-Cowan-Olson
50
10.00
1.00
3N
W
-1
-1
12-Blacklock-Blacklock
5-Affleck-Affleck
140
7.50
3.50
2♠
W
+1
+1
9-Huang-Chuang
12-Freeman-Lum
140
7.50
3.50
2♠
W
+1
+1
8-Miller-Schroder
10-Fuhrman-Hesson
170
3.50
7.50
2♠
W
+2
-
6-Yamanouchi-Yamanouchi
6-Wooden-Bourbonnais
170
3.50
7.50
2♠
W
+2
-
10-Studin-Clayton
1-Joba-Fullbrook
170
3.50
7.50
3♠
E
+1
-
7-Morse-Ayukawa
8-Nist-Christiansen
170
3.50
7.50
2♠
W
+2
-
2-Brackenbury-Reid
11-Cheng-Walker
170
3.50
7.50
2♠
W
+2
-
1-Parker-Parker
9-Gilraine-Gilraine
170
3.50
7.50
2♠
W
+2
-
11-Brazeau-Strebinger
3-Boruta-Boruta
180
0.00
11.00
2N
W
+2
-3
5-Van Horne-Karlgren
4-Noort-Franko
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
12
♠ 2
♥ A82
♦ K9853
♣ J987
Dlr: West Vul: N-S
♠ T9854
♥ JT
♦ J7
♣ KT43
♠ AKQ
♥ Q9543
♦ AQT4
♣ 5
Double Dummy Makes
♣
♦
♥
♠
NT
North
7
6
5
4
5
South
7
6
5
4
5
East
6
7
8
9
7
West
6
7
8
9
7
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
100
11.00
0.00
4♠
W
-2
+1
11-Brazeau-Strebinger
3-Boruta-Boruta
50
9.00
2.00
3♥
E
-1
-
6-Yamanouchi-Yamanouchi
6-Wooden-Bourbonnais
50
9.00
2.00
1♦
E
-1
+1
9-Huang-Chuang
12-Freeman-Lum
50
9.00
2.00
4♥
E
-1
-1
1-Parker-Parker
9-Gilraine-Gilraine
110
7.00
4.00
2♠
W
+1
7-Morse-Ayukawa
8-Nist-Christiansen
140
6.00
5.00
2♠
W
+1
-
4-Maher-Shepherd
2-Oishi-Oishi
170
4.00
7.00
2♥
E
+2
-2
8-Miller-Schroder
10-Fuhrman-Hesson
170
4.00
7.00
1♥
E
+3
-2
5-Van Horne-Karlgren
4-Noort-Franko
170
4.00
7.00
2♥
E
+2
-2
2-Brackenbury-Reid
11-Cheng-Walker
200
1.50
9.50
1♠
S
-2
+1
10-Studin-Clayton
1-Joba-Fullbrook
200
1.50
9.50
1N
N
-2
-
13-Morse-Shannon
7-Cowan-Olson
420
0.00
11.00
4♥
E
-2
12-Blacklock-Blacklock
5-Affleck-Affleck
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
13
♠ K4
♥ Q654
♦ A9873
♣ J4
Dlr: North Vul: Both
♠ QJT986
♥ A93
♦ Q6
♣ 75
♠ 52
♥ KJ72
♦ JT
♣ QT963
Double Dummy Makes
♣
♦
♥
♠
NT
North
8
11
8
6
9
South
8
11
8
6
9
East
5
2
5
6
4
West
5
2
5
6
4
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
600
10.50
0.50
5♦
S
-
5-Van Horne-Karlgren
3-Boruta-Boruta
600
10.50
0.50
3N
S
-
13-Morse-Shannon
6-Wooden-Bourbonnais
300
9.00
2.00
3♠
W
-3
-
11-Brazeau-Strebinger
2-Oishi-Oishi
200
8.00
3.00
3♠
W
-2
-1
9-Huang-Chuang
11-Cheng-Walker
150
5.50
5.50
2♦
S
+3
-
7-Morse-Ayukawa
7-Cowan-Olson
150
5.50
5.50
3♦
S
+2
-
6-Yamanouchi-Yamanouchi
5-Affleck-Affleck
150
5.50
5.50
3♦
S
+2
-
3-Pocock-Lenobel
12-Freeman-Lum
150
5.50
5.50
3♦
S
+2
-
2-Brackenbury-Reid
10-Fuhrman-Hesson
130
2.50
8.50
3♦
S
+1
-1
8-Miller-Schroder
9-Gilraine-Gilraine
130
2.50
8.50
3♦
S
+1
-1
4-Maher-Shepherd
1-Joba-Fullbrook
120
1.00
10.00
2N
S
-1
12-Blacklock-Blacklock
4-Noort-Franko
140
0.00
11.00
2♠
W
+1
-3
1-Parker-Parker
8-Nist-Christiansen
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
14
♠ 854
♥ K5
♦ JT95
♣ AT64
Dlr: East Vul: None
♠ KQ92
♥ J98
♦ K83
♣ Q72
♠ JT7
♥ A6
♦ AQ74
♣ KJ53
Double Dummy Makes
♣
♦
♥
♠
NT
North
3
4
6
3
3
South
3
4
6
3
3
East
9
9
7
9
10
West
9
9
7
9
10
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
150
10.50
0.50
3N
E
-3
+4
8-Miller-Schroder
9-Gilraine-Gilraine
150
10.50
0.50
3N
E
-3
+4
5-Van Horne-Karlgren
3-Boruta-Boruta
100
8.50
2.50
3N
W
-2
+3
11-Brazeau-Strebinger
2-Oishi-Oishi
100
8.50
2.50
3N
E
-2
+3
2-Brackenbury-Reid
10-Fuhrman-Hesson
110
7.00
4.00
3♦
E
-
3-Pocock-Lenobel
12-Freeman-Lum
170
6.00
5.00
3♠
W
+1
-1
7-Morse-Ayukawa
7-Cowan-Olson
300
5.00
6.00
2♥ *
S
-2
-
9-Huang-Chuang
11-Cheng-Walker
400
2.50
8.50
3N
E
+1
6-Yamanouchi-Yamanouchi
5-Affleck-Affleck
400
2.50
8.50
3N
E
+1
1-Parker-Parker
8-Nist-Christiansen
400
2.50
8.50
3N
E
+1
13-Morse-Shannon
6-Wooden-Bourbonnais
400
2.50
8.50
3N
E
+1
12-Blacklock-Blacklock
4-Noort-Franko
430
0.00
11.00
3N
E
+1
-
4-Maher-Shepherd
1-Joba-Fullbrook
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
15
♠ AQ2
♥ JT7
♦ AK54
♣ QT2
Dlr: South Vul: N-S
♠ KJT654
♥ 94
♦ J2
♣ J94
♠ 87
♥ Q632
♦ 9863
♣ AK3
Double Dummy Makes
♣
♦
♥
♠
NT
North
10
11
11
7
11
South
10
11
11
7
11
East
2
2
2
6
2
West
3
2
2
6
2
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
800
11.00
0.00
4♠ *
W
-4
-
13-Morse-Shannon
5-Affleck-Affleck
660
8.50
2.50
3N
N
+2
-
11-Brazeau-Strebinger
1-Joba-Fullbrook
660
8.50
2.50
3N
N
+2
-
7-Morse-Ayukawa
6-Wooden-Bourbonnais
660
8.50
2.50
3N
N
+2
-
3-Pocock-Lenobel
11-Cheng-Walker
660
8.50
2.50
3N
N
+2
-
1-Parker-Parker
7-Cowan-Olson
630
4.50
6.50
3N
N
+1
-1
8-Miller-Schroder
8-Nist-Christiansen
630
4.50
6.50
3N
N
+1
-1
9-Huang-Chuang
10-Fuhrman-Hesson
630
4.50
6.50
3N
N
+1
-1
6-Yamanouchi-Yamanouchi
4-Noort-Franko
630
4.50
6.50
3N
N
+1
-1
2-Brackenbury-Reid
9-Gilraine-Gilraine
600
2.00
9.00
3N
N
-2
5-Van Horne-Karlgren
2-Oishi-Oishi
210
1.00
10.00
2N
N
+3
-
10-Studin-Clayton
12-Freeman-Lum
100
0.00
11.00
3♥
S
-1
-3
12-Blacklock-Blacklock
3-Boruta-Boruta
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
16
♠ AT9
♥ AKQ82
♦ A7
♣ AQ6
Dlr: West Vul: E-W
♠ 8753
♥ T5
♦ KJ53
♣ J94
♠ KJ64
♥ J7
♦ Q642
♣ K87
Double Dummy Makes
♣
♦
♥
♠
NT
North
9
6
9
6
9
South
9
6
9
6
9
East
4
6
3
6
4
West
4
6
3
6
4
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
460
11.00
0.00
3N
N
+2
+2
3-Pocock-Lenobel
11-Cheng-Walker
420
8.50
2.50
4♥
N
+1
10-Studin-Clayton
12-Freeman-Lum
420
8.50
2.50
4♥
S
+1
9-Huang-Chuang
10-Fuhrman-Hesson
420
8.50
2.50
4♥
N
+1
5-Van Horne-Karlgren
2-Oishi-Oishi
420
8.50
2.50
4♥
S
+1
1-Parker-Parker
7-Cowan-Olson
400
6.00
5.00
3N
N
-
7-Morse-Ayukawa
6-Wooden-Bourbonnais
180
5.00
6.00
2N
N
+2
+1
6-Yamanouchi-Yamanouchi
4-Noort-Franko
150
2.50
8.50
2N
N
+1
-
8-Miller-Schroder
8-Nist-Christiansen
150
2.50
8.50
2N
N
+1
-
11-Brazeau-Strebinger
1-Joba-Fullbrook
150
2.50
8.50
2N
N
+1
-
2-Brackenbury-Reid
9-Gilraine-Gilraine
150
2.50
8.50
2N
N
+1
-
13-Morse-Shannon
5-Affleck-Affleck
50
0.00
11.00
3N
N
-1
-1
12-Blacklock-Blacklock
3-Boruta-Boruta
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
17
♠ A
♥ 763
♦ KQT852
♣ Q97
Dlr: North Vul: None
♠ 9832
♥ 5
♦ J73
♣ J8653
♠ QJ6
♥ AJ9842
♦ A64
♣ 2
Double Dummy Makes
♣
♦
♥
♠
NT
North
9
7
8
7
10
South
9
7
8
7
10
East
4
3
5
4
2
West
4
3
5
4
2
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
460
8.50
2.50
3N
S
+2
+1
9-Huang-Chuang
9-Gilraine-Gilraine
460
8.50
2.50
3N
S
+2
+1
13-Morse-Shannon
4-Noort-Franko
460
8.50
2.50
3N
S
+2
+1
12-Blacklock-Blacklock
2-Oishi-Oishi
460
8.50
2.50
3N
S
+2
+1
8-Miller-Schroder
7-Cowan-Olson
460
8.50
2.50
3N
S
+2
+1
6-Yamanouchi-Yamanouchi
3-Boruta-Boruta
460
8.50
2.50
3N
S
+2
+1
2-Brackenbury-Reid
8-Nist-Christiansen
430
5.00
6.00
3N
N
+1
-
3-Pocock-Lenobel
10-Fuhrman-Hesson
400
3.50
7.50
3N
S
-1
7-Morse-Ayukawa
5-Affleck-Affleck
400
3.50
7.50
3N
S
-1
4-Maher-Shepherd
12-Freeman-Lum
110
2.00
9.00
2♠
S
+1
1-Parker-Parker
6-Wooden-Bourbonnais
50
0.50
10.50
3♣
S
-1
-1
10-Studin-Clayton
11-Cheng-Walker
50
0.50
10.50
3N
S
-1
-2
5-Van Horne-Karlgren
1-Joba-Fullbrook
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
18
♠ 962
♥ T83
♦ T32
♣ KJ74
Dlr: East Vul: N-S
♠ T873
♥ K5
♦ AK7
♣ A932
♠ 54
♥ QJ762
♦ J964
♣ Q5
Double Dummy Makes
♣
♦
♥
♠
NT
North
7
5
5
6
6
South
7
5
5
6
6
East
6
8
8
7
7
West
6
8
8
7
7
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
120
10.50
0.50
1N
S
+1
+2
9-Huang-Chuang
9-Gilraine-Gilraine
120
10.50
0.50
1N
S
+1
+2
13-Morse-Shannon
4-Noort-Franko
90
8.00
3.00
1N
S
+1
12-Blacklock-Blacklock
2-Oishi-Oishi
90
8.00
3.00
1N
S
+1
10-Studin-Clayton
11-Cheng-Walker
90
8.00
3.00
1N
S
+1
6-Yamanouchi-Yamanouchi
3-Boruta-Boruta
80
6.00
5.00
1♠
S
+1
1-Parker-Parker
6-Wooden-Bourbonnais
70
4.50
6.50
1♣
S
-
8-Miller-Schroder
7-Cowan-Olson
70
4.50
6.50
1♣
S
-
4-Maher-Shepherd
12-Freeman-Lum
100
1.50
9.50
1N
S
-1
-
7-Morse-Ayukawa
5-Affleck-Affleck
100
1.50
9.50
2♠
S
-1
+1
5-Van Horne-Karlgren
1-Joba-Fullbrook
100
1.50
9.50
1N
S
-1
-
3-Pocock-Lenobel
10-Fuhrman-Hesson
100
1.50
9.50
1N
N
-1
-
2-Brackenbury-Reid
8-Nist-Christiansen
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
19
♠ 2
♥ AQ96
♦ AJ94
♣ QT74
Dlr: South Vul: E-W
♠ AKJ843
♥ 873
♦ K
♣ 963
♠ QT97
♥ KT52
♦ QT8
♣ AJ
Double Dummy Makes
♣
♦
♥
♠
NT
North
8
8
6
3
4
South
8
8
6
3
4
East
5
5
7
10
8
West
5
5
7
10
8
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
140
11.00
0.00
3♠
W
+1
2-Brackenbury-Reid
7-Cowan-Olson
170
9.50
1.50
3♠
W
+1
-
13-Morse-Shannon
3-Boruta-Boruta
170
9.50
1.50
3♠
W
+1
-
8-Miller-Schroder
6-Wooden-Bourbonnais
620
4.50
6.50
4♠
W
-
10-Studin-Clayton
10-Fuhrman-Hesson
620
4.50
6.50
4♠
W
-
1-Parker-Parker
5-Affleck-Affleck
620
4.50
6.50
4♠
W
-
11-Brazeau-Strebinger
12-Freeman-Lum
620
4.50
6.50
4♠
W
-
9-Huang-Chuang
8-Nist-Christiansen
620
4.50
6.50
4♠
W
-
7-Morse-Ayukawa
4-Noort-Franko
620
4.50
6.50
4♠
W
-
6-Yamanouchi-Yamanouchi
2-Oishi-Oishi
620
4.50
6.50
4♠
W
-
4-Maher-Shepherd
11-Cheng-Walker
620
4.50
6.50
4♠
W
-
3-Pocock-Lenobel
9-Gilraine-Gilraine
650
0.00
11.00
4♠
W
+1
-1
12-Blacklock-Blacklock
1-Joba-Fullbrook
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
20
♠ J82
♥ Q532
♦ KT3
♣ AQ4
Dlr: West Vul: Both
♠ KQ963
♥ K64
♦ QJ
♣ 753
♠ 75
♥ A987
♦ 97542
♣ J9
Double Dummy Makes
♣
♦
♥
♠
NT
North
9
7
8
8
9
South
10
7
8
8
10
East
3
5
4
5
3
West
3
5
4
5
3
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
660
11.00
0.00
3N
S
+2
+1
13-Morse-Shannon
3-Boruta-Boruta
630
9.50
1.50
3N
S
+1
-
7-Morse-Ayukawa
4-Noort-Franko
630
9.50
1.50
3N
N
+1
+1
6-Yamanouchi-Yamanouchi
2-Oishi-Oishi
600
7.50
3.50
3N
N
-
1-Parker-Parker
5-Affleck-Affleck
600
7.50
3.50
3N
N
-
2-Brackenbury-Reid
7-Cowan-Olson
200
6.00
5.00
2♠
W
-2
-1
9-Huang-Chuang
8-Nist-Christiansen
180
5.00
6.00
2N
S
+2
-
10-Studin-Clayton
10-Fuhrman-Hesson
130
3.50
7.50
3♣
N
+1
+1
11-Brazeau-Strebinger
12-Freeman-Lum
130
3.50
7.50
3♣
N
+1
+1
4-Maher-Shepherd
11-Cheng-Walker
100
2.00
9.00
2♠
W
-1
-2
3-Pocock-Lenobel
9-Gilraine-Gilraine
100
0.50
10.50
4♣
N
-1
-
12-Blacklock-Blacklock
1-Joba-Fullbrook
100
0.50
10.50
3N
S
-1
-2
8-Miller-Schroder
6-Wooden-Bourbonnais
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
21
♠ 87653
♥ 97
♦ J953
♣ 54
Dlr: North Vul: N-S
♠ AJ9
♥ AQT6432
♦ 7
♣ K7
♠ 2
♥ J85
♦ Q842
♣ AJT82
Double Dummy Makes
♣
♦
♥
♠
NT
North
3
7
0
8
2
South
3
7
0
8
2
East
9
6
12
5
11
West
9
6
12
5
9
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
200
11.00
0.00
2♥
W
+3
+1
9-Huang-Chuang
7-Cowan-Olson
480
6.50
4.50
4♥
W
+2
-
2-Brackenbury-Reid
6-Wooden-Bourbonnais
480
6.50
4.50
4♥
W
+2
-
1-Parker-Parker
4-Noort-Franko
480
6.50
4.50
4♥
W
+2
-
13-Morse-Shannon
2-Oishi-Oishi
480
6.50
4.50
4♥
W
+2
-
10-Studin-Clayton
9-Gilraine-Gilraine
480
6.50
4.50
4♥
W
+2
-
8-Miller-Schroder
5-Affleck-Affleck
480
6.50
4.50
4♥
W
+2
-
7-Morse-Ayukawa
3-Boruta-Boruta
480
6.50
4.50
4♥
W
+2
-
4-Maher-Shepherd
10-Fuhrman-Hesson
480
6.50
4.50
4♥
W
+2
-
3-Pocock-Lenobel
8-Nist-Christiansen
510
2.00
9.00
4♥
W
+3
-1
5-Van Horne-Karlgren
12-Freeman-Lum
750
1.00
10.00
5♥ *
W
+1
-
6-Yamanouchi-Yamanouchi
1-Joba-Fullbrook
790
0.00
11.00
4♥ *
W
+2
-
11-Brazeau-Strebinger
11-Cheng-Walker
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
22
♠ 98
♥ A73
♦ T9
♣ KQ9842
Dlr: East Vul: E-W
♠ AKQ5
♥ 9652
♦ Q85
♣ A5
♠ T76432
♥ -
♦ A762
♣ JT7
Double Dummy Makes
♣
♦
♥
♠
NT
North
8
5
9
2
5
South
8
5
9
2
5
East
5
7
4
11
7
West
5
7
4
11
7
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
590
11.00
0.00
4♥ *
S
+1
11-Brazeau-Strebinger
11-Cheng-Walker
140
10.00
1.00
2♥
S
+1
-
13-Morse-Shannon
2-Oishi-Oishi
100
9.00
2.00
5♥ *
S
-1
+1
8-Miller-Schroder
5-Affleck-Affleck
200
7.50
3.50
3♠
E
+2
-
2-Brackenbury-Reid
6-Wooden-Bourbonnais
200
7.50
3.50
3♠
E
+2
-
5-Van Horne-Karlgren
12-Freeman-Lum
620
6.00
5.00
4♠
W
+1
1-Parker-Parker
4-Noort-Franko
650
3.50
7.50
4♠
W
+1
-
10-Studin-Clayton
9-Gilraine-Gilraine
650
3.50
7.50
4♠
W
+1
-
9-Huang-Chuang
7-Cowan-Olson
650
3.50
7.50
4♠
W
+1
-
4-Maher-Shepherd
10-Fuhrman-Hesson
650
3.50
7.50
5♠
W
-
3-Pocock-Lenobel
8-Nist-Christiansen
850
1.00
10.00
5♠ *
W
-
7-Morse-Ayukawa
3-Boruta-Boruta
990
0.00
11.00
4♠ *
W
+1
-
6-Yamanouchi-Yamanouchi
1-Joba-Fullbrook
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
23
♠ J8753
♥ AKJ9
♦ 6
♣ J54
Dlr: South Vul: Both
♠ -
♥ 6542
♦ AK72
♣ KT976
♠ AKQ
♥ 8
♦ QJT98
♣ AQ83
Double Dummy Makes
♣
♦
♥
♠
NT
North
0
0
6
8
0
South
0
0
6
8
0
East
12
12
7
5
9
West
12
12
7
5
9
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
500
11.00
0.00
4♠ *
N
-2
-
7-Morse-Ayukawa
2-Oishi-Oishi
620
9.50
1.50
5♦
W
+1
-
12-Blacklock-Blacklock
12-Freeman-Lum
620
9.50
1.50
5♣
W
+1
-
2-Brackenbury-Reid
5-Affleck-Affleck
640
5.50
5.50
5♦
E
+2
-1
3-Pocock-Lenobel
7-Cowan-Olson
640
5.50
5.50
5♣
E
+2
-1
1-Parker-Parker
3-Boruta-Boruta
640
5.50
5.50
5♦
E
+2
-1
10-Studin-Clayton
8-Nist-Christiansen
640
5.50
5.50
5♦
E
+2
-1
8-Miller-Schroder
4-Noort-Franko
640
5.50
5.50
5♦
E
+2
-1
5-Van Horne-Karlgren
11-Cheng-Walker
640
5.50
5.50
5♦
E
+2
-1
4-Maher-Shepherd
9-Gilraine-Gilraine
720
1.50
9.50
3N
E
+4
-4
13-Morse-Shannon
1-Joba-Fullbrook
720
1.50
9.50
3N
E
+4
-4
9-Huang-Chuang
6-Wooden-Bourbonnais
1370
0.00
11.00
6♣
E
-
11-Brazeau-Strebinger
10-Fuhrman-Hesson
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
24
♠ AQT5
♥ Q6
♦ AKQ76
♣ Q3
Dlr: West Vul: None
♠ 32
♥ JT8743
♦ -
♣ KT987
♠ J874
♥ 952
♦ JT
♣ J654
Double Dummy Makes
♣
♦
♥
♠
NT
North
5
13
5
12
13
South
6
13
5
13
13
East
7
0
7
0
0
West
7
0
7
0
0
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
1020
10.50
0.50
6N
S
+1
-
8-Miller-Schroder
4-Noort-Franko
1020
10.50
0.50
6N
S
+1
-
4-Maher-Shepherd
9-Gilraine-Gilraine
990
8.50
2.50
6N
N
-1
13-Morse-Shannon
1-Joba-Fullbrook
990
8.50
2.50
6N
S
-1
9-Huang-Chuang
6-Wooden-Bourbonnais
940
7.00
4.00
6♦
N
+1
-
3-Pocock-Lenobel
7-Cowan-Olson
920
4.50
6.50
6♦
N
-1
1-Parker-Parker
3-Boruta-Boruta
920
4.50
6.50
6♦
N
-1
11-Brazeau-Strebinger
10-Fuhrman-Hesson
920
4.50
6.50
6♦
N
-1
10-Studin-Clayton
8-Nist-Christiansen
920
4.50
6.50
6♦
N
-1
7-Morse-Ayukawa
2-Oishi-Oishi
420
1.00
10.00
5♦
N
+1
-1
12-Blacklock-Blacklock
12-Freeman-Lum
420
1.00
10.00
5♦
N
+1
-1
2-Brackenbury-Reid
5-Affleck-Affleck
420
1.00
10.00
5♦
N
+1
-1
5-Van Horne-Karlgren
11-Cheng-Walker
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
25
♠ KJ74
♥ T9
♦ A86
♣ QT74
Dlr: North Vul: E-W
♠ Q3
♥ KQ8
♦ Q94
♣ AKJ82
♠ T985
♥ 73
♦ K752
♣ 953
Double Dummy Makes
♣
♦
♥
♠
NT
North
6
7
9
7
8
South
6
7
9
7
8
East
7
6
4
6
5
West
7
6
4
6
5
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
300
10.50
0.50
2N
W
-3
-
11-Brazeau-Strebinger
9-Gilraine-Gilraine
300
10.50
0.50
2N
W
-3
-
7-Morse-Ayukawa
1-Joba-Fullbrook
200
9.00
2.00
3♣
W
-2
-
10-Studin-Clayton
7-Cowan-Olson
140
5.50
5.50
3♥
S
-
4-Maher-Shepherd
8-Nist-Christiansen
140
5.50
5.50
2♥
S
+1
-
2-Brackenbury-Reid
4-Noort-Franko
140
5.50
5.50
2♥
S
+1
-
1-Parker-Parker
2-Oishi-Oishi
140
5.50
5.50
2♥
S
+1
-
9-Huang-Chuang
5-Affleck-Affleck
140
5.50
5.50
2♥
S
+1
-
8-Miller-Schroder
3-Boruta-Boruta
140
5.50
5.50
2♥
S
+1
-
6-Yamanouchi-Yamanouchi
12-Freeman-Lum
110
2.00
9.00
2♥
S
-1
3-Pocock-Lenobel
6-Wooden-Bourbonnais
100
1.00
10.00
2N
W
-1
-2
5-Van Horne-Karlgren
10-Fuhrman-Hesson
90
0.00
11.00
1N
W
-2
12-Blacklock-Blacklock
11-Cheng-Walker
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.
26
♠ Q8432
♥ J92
♦ T4
♣ AT5
Dlr: East Vul: Both
♠ A
♥ T87
♦ AK986
♣ J974
♠ T965
♥ 6543
♦ J
♣ KQ62
Double Dummy Makes
♣
♦
♥
♠
NT
North
4
6
6
8
6
South
4
6
6
8
6
East
9
7
7
5
7
West
9
7
7
5
7
N-S
E-W
N-S
E-W
Contract
ETF
N-S
E-W
140
11.00
0.00
2♠
S
+1
+1
11-Brazeau-Strebinger
9-Gilraine-Gilraine
110
8.00
3.00
2♠
S
-
3-Pocock-Lenobel
6-Wooden-Bourbonnais
110
8.00
3.00
2♠
N
-
2-Brackenbury-Reid
4-Noort-Franko
110
8.00
3.00
2♠
S
-
10-Studin-Clayton
7-Cowan-Olson
110
8.00
3.00
2♠
S
-
9-Huang-Chuang
5-Affleck-Affleck
110
8.00
3.00
2♠
S
-
8-Miller-Schroder
3-Boruta-Boruta
100
3.00
8.00
3♠
N
-1
-
4-Maher-Shepherd
8-Nist-Christiansen
100
3.00
8.00
2♠
N
-1
-1
1-Parker-Parker
2-Oishi-Oishi
100
3.00
8.00
2♠
S
-1
-1
7-Morse-Ayukawa
1-Joba-Fullbrook
100
3.00
8.00
2♠
S
-1
-1
6-Yamanouchi-Yamanouchi
12-Freeman-Lum
100
3.00
8.00
2♠
S
-1
-1
5-Van Horne-Karlgren
10-Fuhrman-Hesson
200
0.00
11.00
2♥
S
-2
-
12-Blacklock-Blacklock
11-Cheng-Walker
ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.