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%Created: Sun Aug 27 18:31:02 2023 +0100
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%HRTitleEvent "BFP B2 L03 Sacrifices"
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[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "1"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "N"]
[Vulnerable "None"]
[Deal "N:98642.KQ7.AKQ.63 .JT9654.T92.T752 JT753.A.J543.KQJ AKQ.832.876.A984"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

With 5 spades and 14 HCPs, North opens 1\S. With 12 HCPs, and a singleton A\H,
South raises to 4\S.

With three absolutely certain tricks, and a 99% certain fourth trick, West
doubles the contract for penalties.

A double of a contract above 3NT is for penalties, and East passes.

Declarer cannot avoid losing the three top trumps and the \CA, but will take
the remaining nine tricks for one down. 

The defence get a score of 100, rather than 50, because the declaring side are
not vulnerable.}
[BCFlags "5f"]
[DoubleDummyTricks "99587995864474544745"]
[OptimumScore "NS 400"]
[ParContract "NS 3N="]
[Auction "N"]
1S Pass 4S X
AP
[OptimumOpeningLeadTable "Leader;Denomination\2R;Result\1R;S\5;H\3;D\4;C"]
N NT 9 98642 7   AKQ  63
N  H 6 -     7   AKQ  -
N  D 9 -     KQ7 AKQ  -
N  C 8 -     7   AKQ  -
S  H 6 -     A   J543 -
S  D 9 -     A   J543 -
S  C 8 -     A   J543 -
E  H 8 -     -   -    T752
E  D 5 -     -   -    T752
E  C 6 -     -   -    T752
W  S 4 AKQ   832 876  A
W  H 8 AKQ   -   -    A
W  D 5 AKQ   -   -    A
W  C 7 AKQ   -   -    -
[OptimumResultTable "Declarer;Denomination\2R;Result\1R"]
N NT 9
N  S 9
N  H 5
N  D 8
N  C 7
S NT 9
S  S 9
S  H 5
S  D 8
S  C 6
E NT 4
E  S 4
E  H 7
E  D 4
E  C 5
W NT 4
W  S 4
W  H 7
W  D 4
W  C 5

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "2"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "E"]
[Vulnerable "NS"]
[Deal "E:JT753.A.J543.KQJ AKQ.832.876.9842 98642.KQ7.AKQ.63 .JT9654.T92.AT75"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

With 5 spades and 14 HCPs, West opens 1\S. With 12 HCPs, and a singleton A\H,
East raises to 4\S.

With only three absolutely certain tricks, South does NOT double the contract
for penalties.

Declarer cannot avoid losing the three top trumps and the \CA, but will take
the remaining nine tricks for one down. 

The defence get a score of 100, because the declaring side are  vulnerable.}
[BCFlags "5f"]
[DoubleDummyTricks "44545445458959699898"]
[OptimumScore "EW 400"]
[ParContract "W 3N="]
[Auction "E"]
1S Pass 4S AP
[OptimumOpeningLeadTable "Leader;Denomination\2R;Result\1R;S\3;H\6;D\4;C"]
N  S 4 -   JT9654 T92  A
S NT 5 AKQ -      -    -
S  H 8 AKQ -      -    -
S  C 7 AKQ -      -    -
E NT 9 -   A      J543 KQJ
E  H 8 -   A      J543 KQJ
E  C 8 -   A      J543 KQJ
W NT 9 -   7      AKQ  63
W  H 8 -   7      AKQ  63
W  C 8 -   7      AKQ  63
[OptimumResultTable "Declarer;Denomination\2R;Result\1R"]
N NT 4
N  S 4
N  H 5
N  D 4
N  C 5
S NT 4
S  S 4
S  H 5
S  D 4
S  C 5
E NT 8
E  S 9
E  H 5
E  D 9
E  C 6
W NT 9
W  S 9
W  H 8
W  D 9
W  C 8

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "3"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "S"]
[Vulnerable "EW"]
[Deal "S:.JT9654.T92.T752 JT753.A.J543.KQJ AKQ.832.876.A984 98642.KQ7.AKQ.63"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

With 5 spades and 12 HCPs, West opens 1\S. With 14 HCPs, and a singleton A\H,
East raises to 4\S.

With three absolutely certain tricks, and a 99% certain fourth trick, South
doubles the contract for penalties.

A double of a contract above 3NT is for penalties, and North passes.

Declarer cannot avoid losing the three top trumps and the \CA, but will take
the remaining nine tricks for one down. 

This time the defence score 200, because the declaring side is vulnerable.}
[BCFlags "5f"]
[DoubleDummyTricks "44745447459958799586"]
[OptimumScore "NS -500"]
[ParContract "NS 4HX-3"]
[Auction "S"]
Pass 1S Pass 4S
X AP
[OptimumOpeningLeadTable "Leader;Denomination\2R;Result\1R;S\5;H\3;D\4;C"]
N  S 4 AKQ   832 876  A
N  H 8 AKQ   -   -    A
N  D 5 AKQ   -   -    A
N  C 7 AKQ   -   -    -
S  H 8 -     -   -    T752
S  D 5 -     -   -    T752
S  C 6 -     -   -    T752
E NT 9 98642 7   AKQ  63
E  H 6 -     7   AKQ  -
E  D 9 -     KQ7 AKQ  -
E  C 8 -     7   AKQ  -
W  H 6 -     A   J543 -
W  D 9 -     A   J543 -
W  C 8 -     A   J543 -
[OptimumResultTable "Declarer;Denomination\2R;Result\1R"]
N NT 4
N  S 4
N  H 7
N  D 4
N  C 5
S NT 4
S  S 4
S  H 7
S  D 4
S  C 5
E NT 9
E  S 9
E  H 5
E  D 8
E  C 7
W NT 9
W  S 9
W  H 5
W  D 8
W  C 6

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "4"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "W"]
[Vulnerable "All"]
[Deal "W:JT753.A.J543.KQJ AKQ.832.876.9843 98642.KQ7.AKQ.A6 .JT9654.T92.T752"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

With 5 spades and 12 HCPs, West opens 1\S. With 18 HCPs, East raises to 4\S.

With only three absolutely certain tricks, South does NOT double the contract
for penalties.

Declarer cannot avoid losing the three top trumps, but will take the remaining
ten tricks. 

}
[BCFlags "5f"]
[DoubleDummyTricks "3343333433aa9a9aa6a8"]
[OptimumScore "EW 630"]
[ParContract "EW 3N+1"]
[Auction "W"]
1S Pass 4S AP
[OptimumOpeningLeadTable "Leader;Denomination\2R;Result\2R;S\5;H;D\4;C"]
N  H  7 AKQ   - -    -
N  C  5 AKQ   - -    -
S  C  4 -     - -    T752
E NT 10 98642 7 AKQ  A6
E  H  9 -     7 AKQ  A6
E  C 10 -     7 AKQ  -
W  H  9 -     A J543 KQJ
W  C 10 -     A J543 -
[OptimumResultTable "Declarer;Denomination\2R;Result\2R"]
N NT  3
N  S  3
N  H  4
N  D  3
N  C  3
S NT  3
S  S  3
S  H  4
S  D  3
S  C  3
E NT 10
E  S 10
E  H  9
E  D 10
E  C  9
W NT 10
W  S 10
W  H  6
W  D 10
W  C  8

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "5"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "N"]
[Vulnerable "NS"]
[Deal "N:A2.Q6532.AQ652.A KQJT93..KJT97.KQ 6.AK874.843.7654 8754.JT9..JT9832"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

East’s 2\S is an intermediate jump overcall showing a 6-card suit AND opening
values.

South’s hand has 7 HCPs, plus a singleton spade, almost like another king. It
would be worth normally 3\H, but we stretch it in a competitive auction to
discourage the opponents, so 4\H.

West checks the vulnerability. N/S are vulnerable, making their 4\H worth 620
scoring points. West cannot see any chance of beating 4\H. E/W are NOT
vulnerable. 4\S two down doubled non-vulnerable is -300, and three down doubled
non vulnerable is -500, both "better" than -620 for the N/S game in hearts.

West decides on a sacrifice bid of 4\S.

North has 3 Aces outside hearts so doubles for penalties.
}
[BCFlags "5f"]
[DoubleDummyTricks "82b9482b945a2485b248"]
[OptimumScore "NS -200"]
[ParContract "NS 6HX-1"]
[Auction "N"]
1H 2S 4H 4S
5H 5S Pass Pass
X AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 11
W H 2
W D 4
W C 8
W N 5
N S 2
N H 11
N D 9
N C 4
N N 8
E S 10
E H 2
E D 4
E C 8
E N 5
S S 2
S H 11
S D 9
S C 4
S N 8

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "6"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "E"]
[Vulnerable "EW"]
[Deal "E:A2.Q8532.AQ65.AJ KQJT93.T.JT9.QT9 6.AK74.8432.7654 8754.J96.K7.K832"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

South’s 1\S is a simple overcall, so partner should expect a high quality five
card or more suit, and somewhere from 8-14 HCPs.

West’s hand has 7 HCPs, plus a singleton spade, almost like another king. It
would be worth normally 3\H, but we stretch it in a competitive auction to
discourage the opponents, so 4\H.

North checks the vulnerability. E/W are vulnerable, making their 4\H worth 620
scoring points. North cannot see any chance of beating 4\H. N/S are NOT
vulnerable. 4\S two down doubled non-vulnerable is -300, and three down doubled
non vulnerable is -500, both "better" than -620 for the E/W game in hearts.

North advances partner's overcall with 4\S. This is the absolute limit of the
value of the hand. East's hand is super powerful. East checks the vulnerability
and realises the E/W game in hearts is worth more than the probable score from
doubling N/S and taking their contract down, so bids 5\H.


}
[BCFlags "5f"]
[DoubleDummyTricks "372263722695bb795bb7"]
[OptimumScore "EW 650"]
[ParContract "EW 5H="]
[Auction "E"]
1H 1S 4H 4S
5H AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 5
W H 11
W D 11
W C 7
W N 9
N S 7
N H 2
N D 2
N C 6
N N 3
E S 5
E H 11
E D 11
E C 7
E N 9
S S 7
S H 2
S D 2
S C 6
S N 3

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "7"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "S"]
[Vulnerable "All"]
[Deal "S:Q8532.A2.AQ65.AJ T.KQJT93.JT9.QT9 AK74.6.8432.7654 J96.8754.K7.K832"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

West’s 2\H is a simple overcall, so partner should expect a quality heart suit
with at least five cards and 10-14 HCPs. In this case West also has a singleton
spade, adding a bit more to the value of the hand.

North’s 4\S is a stretch bid reflecting a fit in spades, 7 HCPs , a singleton
heart and an added level because the auction has become competitive.

East has four hearts, but a flat hand. E/W would have to bid 5\H over the 4\S,
and E/W are vulnerable. They could easily be doubled and miss their contract by
3 giving away 800, when N/S hearts game is worth 620.
}
[BCFlags "5f"]
[DoubleDummyTricks "9b5b79b5b73272632726"]
[OptimumScore "NS 650"]
[ParContract "NS 4S+1"]
[Auction "S"]
1S 2H 4S AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 2
W H 7
W D 2
W C 6
W N 3
N S 11
N H 5
N D 11
N C 7
N N 9
E S 2
E H 7
E D 2
E C 6
E N 3
S S 11
S H 5
S D 11
S C 7
S N 9

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "8"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "W"]
[Vulnerable "None"]
[Deal "W:A2.Q6532.AQ5.AJ7 KQJT3.T7.JT98.Q9 96.AK84.643.6542 8754.J9.K72.KT83"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

North’s 1\S is a simple overcall, so partner should expect a quality suit with
five or more cards with 8-14 HCPs.

East’s hand has 7 HCPs, four hearts and would normally be a raise to 2\H. 3\H
is a stretch bid reflecting the competitive situation.

West knows that East's hand is actually a 2\H raise. West has 17 HCP and a
known 9-card heart fit so bids 4\H.

South has four spades but estimates North is probably low on HCPs so passes
because three down doubled non-vulnerable in 4\S is -500, worse than -420 for
the E/W game in hearts.
}
[BCFlags "5f"]
[DoubleDummyTricks "473644736496a6896a78"]
[OptimumScore "EW 420"]
[ParContract "EW 4H="]
[Auction "W"]
1H 1S 3H Pass
4H AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 6
W H 10
W D 7
W C 8
W N 9
N S 7
N H 3
N D 6
N C 4
N N 4
E S 6
E H 10
E D 6
E C 8
E N 9
S S 7
S H 3
S D 6
S C 4
S N 4

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "9"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "N"]
[Vulnerable "EW"]
[Deal "N:A2.Q6532.AQ652.A KQJT93..KJT97.KQ 6.AK874.843.7654 8754.JT9..JT9832"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

East’s 2\S is an intermediate jump overcall showing a 6-card suit AND opening
values.

South’s hand with five hearts, HCP count of 7 plus a useful singleton in spades
would normally be a raise to 3\H. However, after the interfering bid of 2\S,
raising a further level to 4\H is a stretch bid designed to discourage further
competition.

West has a fit in spades and a useful void in diamonds; estimates 4\S will be
two down, doubled non-vulnerable, gives away 300, better than 420 for the N/S
game in hearts.

North hand is powerful enough to bid 5\H.

East has no defence to a heart contract and estimates three lost tricks, and so
raises to 5\S.

North has 3 Aces outside hearts so doubles for penalties.
}
[BCFlags "5f"]
[DoubleDummyTricks "82b9482b945a2485b248"]
[OptimumScore "NS -100"]
[ParContract "NS 6HX-1"]
[Auction "N"]
1H 2S 4H 4S
5H 5S Pass X
AP
[OptimumOpeningLeadTable "Leader;Denomination\2R;Result\2R;S\6;H\5;D\5;C"]
N  H 11 A      Q6532 -     A
N  D  9 A      Q6532 AQ652 A
N  C  5 -      Q6532 -     -
S  S  3 -      -     843   -
S  H 11 6      AK874 -     7654
S  C  5 -      AK874 -     -
E NT  5 KQJT9  -     -     KQ
E  S 11 KQJT93 -     -     KQ
E  D  4 KQJT93 -     -     KQ
E  C  9 KQJT93 -     -     KQ
W  C  9 8754   -     -     JT9832
[OptimumResultTable "Declarer;Denomination\2R;Result\2R"]
N NT  8
N  S  2
N  H 11
N  D  9
N  C  4
S NT  8
S  S  2
S  H 11
S  D  9
S  C  4
E NT  5
E  S 10
E  H  2
E  D  4
E  C  8
W NT  5
W  S 11
W  H  2
W  D  4
W  C  8

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "10"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "E"]
[Vulnerable "All"]
[Deal "E:A2.Q8532.AQ65.AJ KQJT93.T.JT9.QT9 6.AK74.8432.7654 8754.J96.K7.K832"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

South’s 1\S is a simple overcall, a 5+card suit with 8-14HCPs.

West’s has four hearts, HCP count of 7 and a useful singleton in spades,
normally a raise to 3\H. However, after the interfering bid of 1\S, raising a
further level to 4\H is a stretch bid designed to discourage further
competition.

East/West game in hearts wins 420 scoring points. North/South are vulnerable.
If they are doubled: -1 costs 200; -2 costs 500. 500 is worse than 420, so it
is not worth raising to 4\S, in fact goes 3 down for -800!

Neither North nor South has any prospect of taking four tricks, so no doubling!

Declarer will take the first spade trick; clear trumps; ruff the 2\S in dummy;
take the diamond finesse; concede a diamond; take a third diamond trick; take
the A\C; and still has two trumps.
}
[BCFlags "5f"]
[DoubleDummyTricks "372263722695bb795bb7"]
[OptimumScore "EW 650"]
[ParContract "EW 4H+1"]
[Auction "E"]
1H 1S 4H AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 5
W H 11
W D 11
W C 7
W N 9
N S 7
N H 2
N D 2
N C 6
N N 3
E S 5
E H 11
E D 11
E C 7
E N 9
S S 7
S H 2
S D 2
S C 6
S N 3

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "11"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "S"]
[Vulnerable "None"]
[Deal "S:Q8532.A2.AQ65.AJ T.KQJT93.JT9.QT9 AK74.6.8432.7654 J96.8754.K7.K832"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

West’s 2\H is a simple overcall, so partner expects a quality five-card suit
with 10-14 HCPs.

North’s hand has four spapes, 7 HCPs and a useful heart singlton. This would
usually be a raise to 3\S. 4\S is a stretch bid reflecting the competitive
situation.

East has four hearts, but a flat hand with 7 HCPs. East passes because three
down doubled non vulnerable in 5\H is -500, worse than -420 for the N/S game in
spades.
}
[BCFlags "5f"]
[DoubleDummyTricks "9b5b79b5b73272632726"]
[OptimumScore "NS 450"]
[ParContract "NS 4S+1"]
[Auction "S"]
1S 2H 4S AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 2
W H 7
W D 2
W C 6
W N 3
N S 11
N H 5
N D 11
N C 7
N N 9
E S 2
E H 7
E D 2
E C 6
E N 3
S S 11
S H 5
S D 11
S C 7
S N 9

[Event "BFP B2 L03 Vulnerability - Doubling - Scoring"]
[Site ""]
[Date ""]
[Board "12"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "W"]
[Vulnerable "All"]
[Deal "W:A2.Q6532.AQ5.AJ7 KQJT3.T7.JT98.Q9 96.AK84.643.6542 8754.J9.K72.KT83"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

North’s 1\S is a simple overcall, so partner so partner expects a quality
five-card suit with 8-14 HCPs.

East’s 3\H hand has four hearts, 7 HCPs and a useful spade singleton. This
would usually be a raise to 2\H. 3\H is a stretch bid reflecting the
competitive situation.

West has 17 HCP and a known 9-card heart fit so bids 4\H.

South estimates partner is weak for their bid, so passes, despite holding four
spades because three down doubled  vulnerable in 4\S is -800, worse than -620
for the E/W game in hearts.
}
[BCFlags "5f"]
[DoubleDummyTricks "473644736496a6896a78"]
[OptimumScore "EW 620"]
[ParContract "EW 4H="]
[Auction "W"]
1H 1S 3H Pass
4H AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 6
W H 10
W D 7
W C 8
W N 9
N S 7
N H 3
N D 6
N C 4
N N 4
E S 6
E H 10
E D 6
E C 8
E N 9
S S 7
S H 3
S D 6
S C 4
S N 4
