| Losing Trick 
Count - A hand evaluation technique originally described by F. Dudley 
Courtenay's book "The System the 
    Experts Play", and popularized by Ron Klinger in his book "Modern Losing 
Trick Count", based on counting effective losers in a trump contract.  Simply 
stated, once partnership has identified a 8+ card suit fit (unless the opener 
has a very strong-long major, e.g., a "self-sustaining suit"), each suit may 
be evaluated as containing between 0 to 3 losers:  Aces and Kings 
are not losers (except a singleton King)  Queens may or may not be 
losers depending on the suit support.    Side suit adjustments to LTC include:  
A J 10 [x...] = 1.5 losers, Q x x = 2.5 losers, while 
J 10 x = 3 losers and Q x = 2 losers, but are a "plus".  Here is a table to evaluate losers: 
  
    | Pattern | Losers |  
    |  |  |  
    | Void | 0 |  
    | A | 0 |  
    | A K | 0 |  
    | A K Q [x x...] | 0 |  
    | A Q | .5 |  
    | A K [x x...] | 1 |  
    | A Q 10 [x x...] | 1 |  
    | A Q x [x x...] | 1 |  
    | A J 10 [x...] | 1.5 |  
    | A J [x x...] | 2 |  
    | A x | 1 |  
    | A x x [x...] | 2 |  
    | K | 1 |  
    | K x | 1 |  
    | K Q [J x x...] | 1 |  
    | K J [x...] | 2 |  
    | K x x [x...] | 2 |  
    | Q J [x...] or Q 10 xbut Q x x
 | 22.5
 |  
    | J 10 9 [x x...] or less | 3 |  Also see 
BridgeHands newsletter on 
Losing Trick Count as well as our
LTC quiz 
(please allow 1 minute to download the attached music and audio file)
 Once a trump 
suit has been identified, a LTC calculation may be performed.  The player's 
LTC is subtracted from 12, with a maximum of 3 losers per suit.  Thus, for 
a side, both players maximum LTC is 24 (12 + 12).  The combined LTC is subtracted from 24 to determine the 
achievable playing tricks: 
  
    | MaxLTC
 | Opener LTC
 | Responder LTC
 | CombinedLTC
 | Tricks (Max - Combined LTC)
 |  
    |  |  |  |  |  |  
    | 24 | 7 | 9 | 16 | 24 - 16 = 8 |  
    | 24 | 6 | 8 | 14 | 24 - 14 = 10 |  
    | 24 | 5 | 9 | 14 | 24 - 14 = 10 |  
    | 24 | 4 | 9 | 13 | 24 - 13 = 11 |  
    | 24 | 4 | 8 | 12 | 24 - 12 = 12 |  
    | 24 | 4 | 7 | 11 | 24 - 11 = 13 |  
Cover Cards A player's High 
Card Points are not directly convertible to LTC, instead based on hand shape and controlling honors.  However, once a fit 
is found, the following table provides a rough translation between HCP, LTC, and 
"Cover Cards" (partner's Aces, King, and trump Queen holdings). Many players 
find the math easier to subtract responder's Cover Cards from opener's LTC to 
determine their side's anticipated losers and lead to more accurate slam bidding.  For instance: Partner 
opening bid equates to 6 LTC and responder has 3 cover cards Then 6 - 3 = 3 
losers; 3 losers equal 10 winners, enough for a major suit game.   (using LTC, the formula  
is 6 LTC + 8 
LTC = 14 LTC, where 24 - 14 LTC = 10 tricks) Also see 
BridgeHands
newsletter on 
Cover Cards as well as our
Cover Cards quiz 
(please allow 1 minute to download the attached music and audio file) 
  
    | Opening Player's Call
 | Typical HCP
 | Typical LTC
 | TypicalCover Cards
 (Aces & Kings)
 |  
    |  |  |  |  |  
    | Weak 2 (Non-Vul) | 4-10 | 7-9 | 1-2 |  
    | Weak 2 (Vul) | 8-10 | 7 | 2 |  
    | 5-5 "Rule of 20" (bare minimum)
 | 10-11 | 7 | 2 |  
    | Minimum Opener | 12-14 | 8-9 | 3 |  
    | Takeout Double | 12+ | 7 | 3+ |  
    | Help Suit Game Try | 13-17 | 6 | 3-4 |  
    | 1NT | 15-17 | Not Applicable* (roughly
    6-7)
 | 3-4 |  
    | Weak 3 | 5-10 | 7 (occasionally 6)
 | 1-2 |  
    | Jump Raise | 15-18 | 6 | 3-4 |  
    | Reverse | 16-21 | Not Applicable* (roughly
    4-5)
 | 3-5 |  
    | 2NT | 20-21 | Not Applicable* (roughly
    5-6)
 | 4-5 |  
    | Takeout & Suit Shift | 17-21 | 4-5 | 4-5 |  
    | Strong Jump Shift | 19-21 | 4 | 4-5 |  
    | 2C Strong Opener | 22+ | 1-4 | 5+ |  
    | Game Jump | 19-21 | 4-5 | 4-5 |  
    | Splinter | 18-21 | 4-5 | 4-5 |  * Not Applicable 
- since Losing Trick Count implies a trump fit, only a rough estimate can 
be attributed to a hand where no partnership fit exists.  Traditional use 
of strength and associated High Card Points are better trick taking indicators 
when partners do not have a fit.  Of course, if responder makes a transfer 
bid with opener subsequently showing a trump fit (as in the Texas Transfer or 
opener's super acceptance), Losing Trick Count provides a sound foundation. 
  
    | Responding Player's Call
 | Typical HCP
 | Typical LTC
 | TypicalCover Cards
 (Aces & Kings)
 |  
    |  |  |  |  |  
    | Advancer Takeout Minimum | 6-8 | 9 | 0-2 |  
    | Minimum Raise | 6-9 | 9 | 1-2 |  
    | 1NT | 6-9 | Not Applicable* (roughly 9)
 | 1-2 |  
    | New Suit at same level | 6+ | Not Applicable* (roughly 1-9)
 | 1+ |  
    | Jump Raise | 10-12 | 8 | 2-3 |  
    | 2NT | 11-12 | Not Applicable* (roughly 8)
 | 2-3 |  
    | 2 over 1 (Standard) | 11+ | Not Applicable* (roughly 1-9)
 | 2+ |  
    | Advancer Takeout Medium | 9-11 | 8 | 2-3 |  
    | Cuebid Opponent's Suit | 10+ | 1-8 | 2+ |  
    | 2 over 1 (Game Forcing) | 12+ | Not Applicable* (roughly 1-8)
 | 3+ |  
    | Splinter | 8-12 | 6-8 | 2-3 |  
    | Strong Jump Shift | 16+ | 5 | 4+ |  Also see 
    Hand 
    Evaluation Books
 |