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%HRTitleEvent "BFP B3 L01 Losing Trick Count#1"
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[Event "BFP B3 L01 Losing Trick Count"]
[Site ""]
[Date ""]
[Board "1"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "N"]
[Vulnerable "None"]
[Deal "N:AK8765.AK.5432.5 2.Q943.KJT6.QJ97 QT943.876.7.A432 J.JT52.AQ98.KT86"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

North has 14 HCP in an unbalanced hand. Opens 1\S. 

South has only 6 HCP, with a singleton diamond. South knows there is a good fit
in Spades. With 8 losers, South can raise to 3\S. 

South’s raise to 3\S indicates 8 losers, North's hand has 5 losers. 

8+5=13. Subtract from 24 for the number of tricks predicted by the Losing Trick
Count. 24-13=11.

North raises to 4\S.

East/West should win a diamond trick. North should clear trumps, in one round,
win A&K\H, and cross-ruff the rest.
}
[BCFlags "5f"]
[DoubleDummyTricks "9c5569c5564177641776"]
[OptimumScore "NS 980"]
[ParContract "NS 6S="]
[Auction "N"]
1S Pass 3S Pass
4S AP
[OptimumOpeningLeadTable "Leader;Denomination\2R;Result\2R;S\6;H\4;D\4;C"]
N  H  6 AK8765 -    5432 5
N  D  6 -      AK   -    5
N  C  7 -      -    5432 -
S NT  9 QT943  876  7    A
S  S 12 QT943  876  7    A
S  H  6 QT943  -    7    A
S  D  6 -      876  -    A
S  C  7 -      -    7    -
E  H  8 -      Q943 -    -
E  D  8 2      -    KJT6 -
E  C  7 2      Q943 -    QJ97
W  H  8 -      JT52 -    -
W  D  8 J      -    AQ98 -
W  C  7 J      JT52 -    KT86
[OptimumResultTable "Declarer;Denomination\2R;Result\2R"]
N NT  9
N  S 12
N  H  5
N  D  5
N  C  6
S NT  9
S  S 12
S  H  5
S  D  5
S  C  6
E NT  4
E  S  1
E  H  7
E  D  7
E  C  6
W NT  4
W  S  1
W  H  7
W  D  7
W  C  6

[Event "BFP B3 L01 Losing Trick Count"]
[Site ""]
[Date ""]
[Board "2"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "E"]
[Vulnerable "NS"]
[Deal "E:AK65.A3.QJT9.876 874.Q872.K.KQJ32 QJT2.JT9.A543.A5 93.K654.8762.T94"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

East has a maximum 14 HCP for a 1NT opening. 

West checks for a fit in spades with Stayman.

East shows a four-card spade suit.

West has 12 HCPs, and Losing Trick Count of 8. This is in possible game
territory, so bids invitational 3\S.

With 14 HCP and a Losing Trick Count of 7, East raises to game.

In this example the HCP and LCT agree. Despite two flat hands, 11 tricks in
Spades is possible.}
[BCFlags "5f"]
[DoubleDummyTricks "3272732727ab6b6ab6a6"]
[OptimumScore "EW 450"]
[ParContract "EW 4S+1"]
[Auction "E"]
1NT Pass 2C Pass
2S Pass 3S Pass
4S AP
[OptimumOpeningLeadTable "Leader;Denomination\2R;Result\2R;S\4;H\3;D\4;C"]
N NT  3 93   654 8762 T94
N  H  7 93   654 8762 T94
N  D  3 -    654 -    -
N  C  7 93   654 8762 T94
S NT  3 874  -   K    KQJ32
S  H  7 874  -   K    KQJ32
S  C  7 874  -   K    KQJ32
E  D 11 AK65 -   QJT9 876
W NT 10 QJT2 JT9 A    A5
W  S 11 QJT2 JT9 A    A5
W  H  6 QJT2 JT9 A    A5
W  D 11 QJT2 -   A    A5
W  C  6 QJT2 JT9 A    A5
[OptimumResultTable "Declarer;Denomination\2R;Result\2R"]
N NT  3
N  S  2
N  H  7
N  D  2
N  C  7
S NT  3
S  S  2
S  H  7
S  D  2
S  C  7
E NT 10
E  S 11
E  H  6
E  D 11
E  C  6
W NT 10
W  S 11
W  H  6
W  D 10
W  C  6

[Event "BFP B3 L01 Losing Trick Count"]
[Site ""]
[Date ""]
[Board "3"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "S"]
[Vulnerable "EW"]
[Deal "S:AK654.A3.T9.8765 87.K872.KJ.KQJ32 QJ32.QJT9.5432.A T9.654.AQ876.T94"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

South opens 1\S on Rule of 20. South does have 7 losers, but don’t use losers
to decide about opening.

North has only 10 HCP but has four spades and 7 losers. North raises to game on
the more optimistic prediction of the Losing Trick Count.

West leads K\C.

South can win 10 tricks in spades. Note that North/South have 21 HCPs between
them. 


}
[BCFlags "5f"]
[DoubleDummyTricks "7a7447a7446367863678"]
[OptimumScore "NS 420"]
[ParContract "NS 4S="]
[Auction "S"]
1S Pass 4S AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 3
W H 6
W D 7
W C 8
W N 6
N S 10
N H 7
N D 4
N C 4
N N 7
E S 3
E H 6
E D 7
E C 8
E N 6
S S 10
S H 7
S D 4
S C 4
S N 7

[Event "BFP B3 L01 Losing Trick Count"]
[Site ""]
[Date ""]
[Board "4"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "W"]
[Vulnerable "All"]
[Deal "W:AK9654.3.AT.8765 87.K872.KJ.KQJ32 QJ32.QJT9.5432.A T.A654.Q9876.T94"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

West opens 1\S on Rule of 20. West does have 7 losers, but don’t use losers to
decide about opening.

East has only 9 HCP, but four spades and 7 losers. Any club overcall is
countered by the singleton A\C. East raises to game which makes.

Note that the HCPs are divided 21/19.}
[BCFlags "5f"]
[DoubleDummyTricks "52868528688b5548b554"]
[OptimumScore "EW 650"]
[ParContract "EW 4S+1"]
[Auction "W"]
1S 2C 4S AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 11
W H 5
W D 5
W C 4
W N 8
N S 2
N H 8
N D 6
N C 8
N N 5
E S 11
E H 5
E D 5
E C 4
E N 8
S S 2
S H 8
S D 6
S C 8
S N 5

[Event "BFP B3 L01 Losing Trick Count"]
[Site ""]
[Date ""]
[Board "5"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "N"]
[Vulnerable "NS"]
[Deal "N:A432.KQ.KQJT65.4 8.J9754.A9.A9862 KQJT6.3.432.QJ53 975.AT862.87.KT7"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

North has shapely 15 HCP hand and opens 1\D because the diamonds outnumber the
spades.

South changes suit to 1\S showing a minimum of 6 HCPs and at least four spades.

North now knows there is a fit in spades. The North hand has five losers. A
hand with six HCPs typically has 9 losers. North estimates South's hand at 9
losers. 

9+5=14. Losing Trick Count suggests that the number of tricks available with
spades as trumps is: 24-14=10. Or, the losing trick count suggests bidding at:
18-14=4. So North bids 4\S.

The contract should make. North/South have 24 HCPs between them, but the Losing
Trick Count prediction takes in the distribution advantages.}
[BCFlags "5f"]
[DoubleDummyTricks "6a3946a3944393843938"]
[OptimumScore "EW -300"]
[ParContract "EW 5HX-2"]
[Auction "N"]
1D Pass 1S Pass
4S AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 3
W H 9
W D 3
W C 8
W N 4
N S 10
N H 3
N D 9
N C 4
N N 6
E S 3
E H 9
E D 3
E C 8
E N 4
S S 10
S H 3
S D 9
S C 4
S N 6

[Event "BFP B3 L01 Losing Trick Count"]
[Site ""]
[Date ""]
[Board "6"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "E"]
[Vulnerable "EW"]
[Deal "E:K32.Q54.K84.A865 A975.32.QT52.KQJ 6.AK9876.A.97432 QJT84.JT.J9763.T"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

West has six hearts and a Losing Trick Count of five.

1NT, 12-14, openers are estimated at eight losers. (Some have seven, a few have
nine).

West can rely on at least two cards in hearts in East's hand. So there is at
least an eight card fit.

5 + 8 = 13. Losing Trick Count suggests that the number of tricks available
with spades as trumps is: 24-13=11. Or, the losing trick count suggests bidding
at: 18-13=5. So North bids 4\H.

East/West total HCP is 23. The Losing Trick Count includes the distribution
advantages of the singleton A\D. }
[BCFlags "5f"]
[DoubleDummyTricks "3728237282a6a5a85a5a"]
[OptimumScore "NS -500"]
[ParContract "NS 5DX-3"]
[Auction "E"]
1NT Pass 4H AP
[OptimumOpeningLeadTable "Leader;Denomination\2R;Result\2R;S\5;H\6;D\4;C"]
N NT  5 QJT8  -      -    -
N  S  8 QJT84 -      -    -
N  H  3 QJT84 -      -    -
N  C  3 QJT84 -      -    -
S  H  3 A     -      -    -
S  D  8 -     32     QT52 KQJ
S  C  3 A     -      -    -
E NT 10 -     Q54    84   A865
E  S  6 -     Q54    84   A
E  H 11 -     Q54    84   A
E  D  5 K32   Q54    84   A
E  C 11 -     Q54    84   A
W NT 10 -     AK9876 A    97432
W  S  6 -     AK9876 A    97432
W  H 11 -     AK9876 A    97432
W  C 11 -     AK9876 A    97432
[OptimumResultTable "Declarer;Denomination\2R;Result\2R"]
N NT  3
N  S  7
N  H  2
N  D  8
N  C  2
S NT  3
S  S  7
S  H  2
S  D  8
S  C  2
E NT 10
E  S  6
E  H 10
E  D  5
E  C 10
W NT  8
W  S  5
W  H 10
W  D  5
W  C 10

[Event "BFP B3 L01 Losing Trick Count"]
[Site ""]
[Date ""]
[Board "7"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "S"]
[Vulnerable "All"]
[Deal "S:A43.KQ.KQJT65.J4 86.J9754.A9.9862 KQJT.A3.7432.AKQ 9752.T862.8.T753"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

South has 16 HCPs and six diamonds and opens 1\D. North changes suit to 1\S.
South shows an upper end hand with six diamonds by jump rebidding the diamonds.

The contract must be in diamonds, or possibly NT. The jump re-bid  is estimated
at five losers. Norths hand has five losers.

5 + 5 = 10. Losing Trick Count suggests that the number of tricks available
with diamonds as trumps is: 24-10=14. Or, the losing trick count suggests
bidding at: 18-10=7. 

Before bidding a slam based on Losing Trick Count, the pair should try and
investigate first round controls.

Any version of Blackwood should South has one Ace, therefore an ace is missing.
6NT will score slightly better than 6\D.}
[BCFlags "5f"]
[DoubleDummyTricks "cb8c8cb8c81151411514"]
[OptimumScore "NS 1440"]
[ParContract "NS 6N="]
[Auction "S"]
1D Pass 1S Pass
3D Pass 4NT Pass
5D Pass 6NT AP
[OptimumOpeningLeadTable "Leader;Denomination\2R;Result\2R;S\4;H\5;D\4;C"]
N  S 12 KQJT A3    -    AKQ
N  H  8 KQJT 3     7432 AKQ
N  C  9 KQJT -     7432 -
S NT 12 A43  KQ    KQJT J4
S  S 12 A43  KQ    -    J4
S  D 12 A43  KQ    KQJT J4
S  C  9 A43  -     KQJT -
E  S  2 -    -     8    -
E  C  5 -    T862  -    T753
W  S  2 -    -     A    -
W  H  5 86   J9754 A    9862
W  C  5 -    J9754 -    9862
[OptimumResultTable "Declarer;Denomination\2R;Result\2R"]
N NT 12
N  S 11
N  H  8
N  D 12
N  C  8
S NT 12
S  S 11
S  H  8
S  D 12
S  C  8
E NT  1
E  S  1
E  H  5
E  D  1
E  C  4
W NT  1
W  S  1
W  H  5
W  D  1
W  C  4

[Event "BFP B3 L01 Losing Trick Count"]
[Site ""]
[Date ""]
[Board "8"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "W"]
[Vulnerable "None"]
[Deal "W:A43.KQ4.KQJT6.42 862.J975.A95.986 KQJT.32.432.AKQJ 975.AT86.87.T753"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{The only fit is in diamonds, but the joint High Card Point count is 31 or 32.
3NT should be easy.}
[BCFlags "df"]
[DoubleDummyTricks "2242222422bb9bbbb9bb"]
[OptimumScore "EW 460"]
[ParContract "EW 3N+2"]
[Auction "W"]
1D Pass 1S Pass
1NT Pass 3NT AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 11
W H 9
W D 11
W C 11
W N 11
N S 2
N H 4
N D 2
N C 2
N N 2
E S 11
E H 9
E D 11
E C 11
E N 11
S S 2
S H 4
S D 2
S C 2
S N 2

[Event "BFP B3 L01 Losing Trick Count"]
[Site ""]
[Date ""]
[Board "9"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "N"]
[Vulnerable "EW"]
[Deal "N:A65.AJ64.8.AJ953 QT73.973.T76.Q74 8.KQT82.AKQ943.2 KJ942.5.J52.KT86"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

South has only 3 losers. North’s re-bid indicates a hand with 7 losers and
shows the heart fit.\n
The losing trick count: 18-(3+7)=8 indicates that a grand slam is on. South
uses Blackwood to check for controls. North’s reply shows all four Aces are
held between the two hands.\n
South bids the grand slam.

}
[BCFlags "5f"]
[DoubleDummyTricks "d7ddad7dda0600306003"]
[OptimumScore "NS 1520"]
[ParContract "NS 7N="]
[Auction "N"]
1C Pass 1D Pass
1H Pass 4NT Pass
5S Pass 7H AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 6
W H 0
W D 0
W C 3
W N 0
N S 7
N H 13
N D 13
N C 10
N N 13
E S 6
E H 0
E D 0
E C 3
E N 0
S S 7
S H 13
S D 13
S C 10
S N 13

[Event "BFP B3 L01 Losing Trick Count"]
[Site ""]
[Date ""]
[Board "10"]
[West ""]
[North ""]
[East ""]
[South ""]
[Dealer "E"]
[Vulnerable "All"]
[Deal "E:J8.KT832.754.Q96 T762..AQT2.AJT32 A5.QJ96.KJ83.K87 KQ943.A754.96.54"]
[Scoring ""]
[Declarer ""]
[Contract ""]
[Result ""]
{

South re-bid raising spades shows a four-card spade suit and a seven loser
hand. 

North has a seven loser hand. 

7 + 7 = 14. Losing Trick Count suggests that the number of tricks available
with spades as trumps is: 24-14=10. Or, the losing trick count suggests bidding
at: 18-14=4.

North raises to the game contract in spades. 

}
[BCFlags "5f"]
[DoubleDummyTricks "7a5797b58a6285362753"]
[OptimumScore "NS 650"]
[ParContract "S 4S+1"]
[Auction "E"]
Pass 1C Pass 1S
Pass 2S Pass 4S
AP
[OptimumResultTable "Declarer;Denomination;Result"]
W S 2
W H 7
W D 5
W C 3
W N 6
N S 10
N H 5
N D 7
N C 9
N N 7
E S 2
E H 8
E D 5
E C 3
E N 6
S S 11
S H 5
S D 8
S C 10
S N 7
