RainBow Series – Lesson XII


Declarer Play


      Consistent with Ward Rule #2 ("Behave politely, bid obnoxiously !"), Declarer's first task is to thank dummy for tabling hir hand.  Try to refrain from expressing any disappointment, since this may serve to "tip your hand" and make matters worse.  It would not be a good time to ask: "Partner, where is the hand you held during the AUCTION ?" :)

      After thanking Partner and reminding ourselves to keep a straight "poker" face, our third task is to count our tricks
Dummy: A x A K 10 4 A K Q J 10 K J North
West + + + + East
Declarer: Q 9 8 7 6 x x x x 10 x x x South

In 3NT, you have eight certain tricks here. 

      Your next task is the define your goal or "target".
      At IMPs or rubber, this usually involves Making your contract.  Only if you are playing in a sacrifice, does your target change to that of holding the damage down to an amount commensurate with whatever you are sacrificing against. 
      For example, if they can make 4 for 620, while you toil in 4 doubled, you will want to lose no more than –500. 

      At MatchPoints, your target is not quite so clear.  Basically, you must aim to take enough tricks to beat the scores attained by others holding your cards. 
      If, for example, you are in a 2 contract, and notice that 1NT is a plausible contract that will make 8 tricks for 120, you will need to make ten tricks for +130 in order to beat the many "notrumpers"


Counting


      Your first task after thanking partner for the dummy is to count your tricks.  Start with your certain tricks.  Then start planning how you may be able to improve on this total. 

      As the play proceeds, count your opponents' cards in each suit.  This mental exercise requires practice, but if you get into the habit of doing it on every hand, your "card sense" will improve ... and will come in very handy in many endings. 
      Watch your opponents' signals carefully for any clues that they may render.  Always make careful note of their signalling methods, and ask questions wherever appropriate. 

      Bear in mind the bidding.  If an opponent shows great length in one suit (as with, say, a weak 2-bid), chances are that this player's Partner will have length in any other suit. 
      Also keep in mind the fact that any non-preemptive bid by any opponent tends to increase that player's chances of holding any outstanding honour.  In such cases, then, COUNT THAT OPPONENTS points as they appear.  You can often locate an opponent's HCPs by inferring that they "need" this card in order to have enough for their bid. 


Planning


      Planning is integral to increasing your number of certain tricks towards your target.  Vital to this process is a grounding in the odds of various plans working.  Barring any bidding by the opponents, a finesse is a 50% chance.  The chance of finding two cards favourably placed is (50% x 50% =) 25%. 

      Suits tend to break "off-center"

      (a) If there are six outstanding cards in a suit, then, the odds are (about 2-1) in favour of a 4-2 split.  About 36% of the time, it will break 3-3, with 5-1 and 6-0 breaks taking up less than 2% between them. 

      (b) With five cards outstanding, the odds favour a 3-2 split about 2-1 over a 4-1 break.  "Hawaii" (i.e., 5-0) splits are rare (1%), unless you happen to be my partner and we are in a critical slam — whereupon the odds zoom up to 100%.  :(

      (c) With 4 cards outstanding, the percentages favour a 3-1 (50%) over a 2-2 split (40%), with a 4-0 break occurring 10% of the time. 

      (d) 3 outstanding cards will split 2-1 about 2/3 of the time, with a 3-0 break occurring once in three times. 

      These simple percentages will prove invaluable in your planning.  If, for example, you must choose between hinging your target on either a 3-3 split (36%) or a finesse (50%), Take the hook !   ("hook" means "finesse"). 


D.O.S.E.S.


      Often you will find yourself in a situation where achieving your target seems impossible.  Here, our approach must be to try to find some favourable lie of the cards (or some ruse) that will allow us to succeed.  No matter how outlandish the line of play may be, we must pursue a slim chance where the alternative is No chance.  When desperate, then, be optimistic

      On the other hand, a secure contract will often be lost, because we were too complacent and failed to account for the One unlikely event which would cause us to fail in our quest.  When you seem safe, then, be extremely suspicious

      These two maxims give us "DOSES": when Desperate be Optimistic, when Safe be Extremely Suspicious. 
Dummy: x x x K Q x A K Q J 10 3 2 North
West + + + + East
Declarer: A x x x x x x A K 10 9 5 4 South

      South, playing in 6NT, receives the K lead. 
Since there will be no time to work on a Heart trick, South starts with only 1 Spade, 2 Club and 5 Diamond tricks.  The remaining four will have to come from the Clubs.  Therefore, South must go to dummy with a Diamond and immediately finesse 10, hoping East has started with QJx. 
Dummy: x x x x x A K Q x x x x x North
West + + + + East
Declarer: A K Q A K Q x x A K x x x South

      Again playing in 6NT at IMPs, South counted 15 tricks: 3 Spades, 3 Hearts, 7 Diamonds, 2 Clubs.  Upon winning the Spade lead, South should have stopped and asked: "What can wrong here ?" Instead, South went to Dummy's Q and, when East showed out, found that four of the Diamond tricks had just vanished into thin air !   Had South ducked the first Diamond, the second Diamond would have acted as an entry to the 6 remaining Diamond tricks. 
Dummy: K 7 6 5 4 North
West + East
Declarer: Q 3 2 South

      In 4, let's say that your target rests upon losing only one trump trick here.  Your only chance is what is called an "Obligatory Finesse".  Lead towards one of the honours — let's say, towards your Queen.  If it holds, lead a Heart back and duck it, hoping that A will fall doubleton.  Your remaining honour will draw the last trump.


Play small towards BIG

     

      As South, consider this holding:
Dummy: K 4  North
West + East
Declarer: 3 2 South

      If East leads a Spade, North-South will take a Spade trick 100% of the time.  If You or West leads a spade, you will take a Spade trick 50% of the time, depending on whether West or East holds the Ace.  However, if North is forced to lead a Spade, you will almost Never take a Spade trick !   By leading a small Spade towards the K, you have increased your chances of winning a Spade trick immensely !   
      This illustrates one of the most fundamental rules of card play:

   Play SMALL towards BIG
Note that the expression reads "PLAY small towards big" and not simply "LEAD small towards big".  Consider the case of the "free finesse":
Dummy: A 5 4  North
West + East
Declarer: Q 3 2  South
      If West were to lead a Diamond here, you can guarantee a Diamond trick by playing "2nd hand LOW" from dummy.  This amounts to nothing more than the 2nd player (North) playing Low towards the 4th player (South), who will play High if East does not produce K. 
      Similarly, the Simple Finesse is a continuation of this same theme:
Dummy: A Q  North
West + East
Declarer: 3 2  South
      N-S will score only One trick if North plays Clubs first, but might win Two Club tricks, if South leads them and inserts Q without East producing K — a 50% chance. 

      The Double Finesse is another logical extension of this simple theme. 
Dummy: A Q 10  North
West + East
Declarer: 4 3 2 South
      Lead small towards North and insert 10, if West plays small.  25% of the time, West will hold KJx(x) and you will be able to take Three Club tricks. 
Dummy: A J 10  North
West + East
Declarer: 4 3 2 South
      While you will always lose a Spade trick here, you will capture two Spade tricks 75% of the time, by playing twice towards dummy's AJ10, inserting the J, and then the 10, if West contributes a low card. 
      Why 75%, you ask ?
      There are two outstanding honours: K and Q.  Then, there are four possibilities:
         (1) West having Both,
         (2) West having the King,
         (3) West having the Queen, and
         (4) West having Neither.
      Only the last of these four equally likely scenarios prevents you from making a second Spade trick.  Hence, the odds are 3-1, or 75% in your favour !
      Note the importance, though, of using entries to your hand to lead the Spades twice; any spade from dummy will all but eliminate your chances of taking a second spade trick. 

      When we have high cards in both hands we employ the "LONG and SHORT" rule, leading from the LONGer suit towards the SHORTer suit.  This will help unblock the suit, where necessary, and will often retain the option of finessing later. 
Dummy: K 10 x x x  North
West + East
Declarer: Q 9 2 South
      Lead towards Q here first.  Later, you may lead a Heart towards North, inserting 10.  In this way, if West has J and the suit breaks 3-2, you will be in the North hand to cash the long Hearts. 
      Yes, you could finesse 9 on the first round, but wouldn't it be frustrating to lose to the singleton Jack ?   :(

      One of the exceptions to the "play small towards big" rules occurs, when you have a doubleton Queen or Jack and the lead will be coming around to your Ax(xx). 

      Suppose West leads 5 here:
Dummy: Q 4 North
West + East
Declarer: A 3 2  South
      Since the Q will fall on the second round anyway, you may as well play it now in the hopes that West has lead from K. 
Dummy: J 4 North
West + East
Declarer: A 3 2  South
      Similarly, we would rise with the Jack here, hoping that West has lead from KQx(x). 

      If we add any good spot cards into the mix, the recommendation may swing back in favour of "2nd hand low" (i.e., playing small towards big). 
Dummy: Q 4 North
West + East
Declarer: A 10 2 South
      By playing 4, we ensure ourselves of a 2nd trick in this suit. 


The Einstein-Idiot Principle


      This rule, often expressed as

"Remember that the cards have BACKS on them",
is fundamental.  You must always bear in mind that, on the subject of what you have in your hand, you are a genius.  Others at the table are ... well, far less prescient — and you want to keep it that way as Declarer.  After all, Declarer doesn't have to worry about fooling partner !   
Dummy: x x North
West + East
Declarer: A K x  South
      West leads a small Club to East's Q.  If you decide to win this trick, do so with the Highest of your touching honours, the Ace
      If you win with K, West will know that you started with AK, since East would have played A ("3rd hand high") if East had it.  But, since East would always play the Lower of touching Honours with KQ(x), West will not know who has K, if you win with A. 
      In this way, you camouflage your Club holding, and prevent the defence from knowing the location of your HCPs until, hopefully, it is too late !   Keep the Opponents in the dark !  
And always give them every chance to go wrong !   :)
Dummy: 8 7 North
West + East
Declarer: A J 6 2  South
      In 3NT, you receive the K lead.  Keep in mind that many people lead the King from KQxx(x).  East does not want a Heart continuation, and signals with 3. 
      You do want a Heart continuation, so you play the 6. 
West may now scratch hir head and wonder who has 2. 
      Is it East, playing 3 to encourage from J32 ?   Had you played 2 at trick #1, of course, West would know that 3 was definitely East's smallest Heart and would switch. :(

Dummy: 8 7 North
West + East
Declarer: A 9 6 2  South
      This time, if East plays 3 under the K lead (perhaps from J3 or 103), you will want to make it clear to West that this is a discouraging card, by playing the 2.  In a sense, then, Declarer is signalling attitude to the opening leader !  
            High to encourage, Low to discourage !  
In fact, if the opponents happen to be playing "upside down attitude" you (as Declarer) will too, playing Low to encourage and High to discourage !   :)


Ducks, Avoidance and Endplays


      We will often find ourselves ducking a trick which we could win, with the hope of exhausting one opponent in the suit. 
This is particularly common in NoTrump Contracts, but does appear often in suit contracts as well. 
Dummy: A x x K Q x x J x x K x x North
West + + + + East
Declarer: x x x J 10 x x A x A Q J x South

      Well, you and Ollie are in a fine mess here.
WestOllieEastYou
1
1DblePass2
Pass4PassPass
Pass
      West overcalled your 1 opening with 1.  Ollie (North) made a negative double, wrenching a 2 bid from you.  Ollie leapt to 4 and, sure enough, West leads the K. 
      Knowing that 5-card suits are more common than 6-carders, you duck the opening lead !   You win the second spade and play a trump ... hoping that East has A and does not have a third Spade. 
      This gives you time to draw trump and pitch a Spade on the 4th round of Clubs.  Sure enough, West started with:
West: K Q J x x x x K Q x x x x
You make 4.  Well played !   

      Often you will be in a situation where, one opponent presents a particular danger.  In such instances, we strain to keep the other opponent on lead if we must lose a trick. 

      At IMPs, you have:
Dummy: A Q J x x 9 x x x x A Q 10 North
West + + + + East
Declarer: K x A x x A Q 10 9 x x x x South

      In 3NT, you receive the King lead from West, who has overcalled 1 along the way.  You hold up two rounds, winning the 3rd Heart as East follows to all three rounds.  With 4 tricks in Major suits, we will need to get 4 tricks from one of the minors.  The minors are exactly equal.  Which should we choose ?  Clubs !
      We will take two finesses in Clubs.
      What is more, if East wins the 1st Club hook, say with J, and returns a Diamond, we will rise with A, to prevent West from gaining the lead to cash two Hearts !   Sure enough, West started with:
West: 10 9 K Q J x x K J x K x x
And 3NT comes fluttering home.  :)

      Endplays are often a natural outcrop of counting a hand well.  You will often find yourself in a situation where you have a "tenace" (i.e., the "1st and 3rd" or "2nd and 4th" best card in a suit), and need to put a defender on lead, forcing them to lead into your holding. 

      Suppose you hold AQ10, and feel that LHO has KJ9 left. 
If you play off A, you will take no more tricks.  But if you Exit with the Q or 10, LHO must concede that last two tricks to you !   

      A variation on this common theme is the "strip and endplay".  Here you find yourself in 6:
Dummy: A x J x x x A x x x J x x North
West + + + + East
Declarer: K x A K x x x K J x A K Q South
       You win the Q lead and bang down the AK, with East showing out after the first round.  Faced with a trump loser, you play another spade and then Three rounds of Clubs, "eliminating" your holding in both black suits. 
       If West does not ruff in, you will then play a trump with the idea of Forcing West to either concede a ruff-and-sluff (as you ruff the black card lead on Dummy and toss a Diamond from your hand) or to lead into the teeth of your KJx.  If West does ruff one of the Clubs, West will be faced with the same unpalatable choice.  No need for Diamond finesses on this hand !   West's held:
West: Q J 10 x Q x x Q 10 9 x x x
Making 6 without breaking a sweat !   :)


Finding Missing Honours


      Novices often wonder why experts are able to succeed with so many finesses.  Aren't finesses a 50% proposition for everyone ?   Yes, they are, but an astute Declarer can increase the success rate of hir finesses in a variety of ways, including:

      1.  Counting the opponents' points. 

      If an opponent has shown 12 HCPs so far, but did not open when given the chance, that player's partner is marked for All of the remaining outstanding HCPs. 

      2.  Reading the opponents' signals. 

      If an opponent leads a small card, you might finesse with dummy's AQx at trick #1.  But, if LHO leads a Higher card, which looks like "top of nothing", we may look for another way to make out target.

      3.  Draw inferences from the bidding (if any). 

      Play the partner of any pre-emptor for most cards outside their bid suit.  Play Opener or Overcaller for most cards in any suit. 

      Even when the experienced player seems to have nothing to go on, they still make slightly more than 50% of their finesses !
      How ?
      – By applying some very basic rules. 
      The first rule applies ONLY to the trump Queen:

« Always play opening leader for the trump Queen.»
      Why ?
      – Because if holding, say, Q83 one would Rarely lead trumps.  But holding, say, 83 one may well have led one !   Hence, the mere fact that the opening leader did not (presumably) lead a trump tilts the balance slightly in favour of the opening leader holding the Queen !   

      What about Other outstanding honours ?
      With Nothing else to go on, employ the "Hurdles Rule":

Play Opener's Right Hand Opponent for any outstanding honour.  Not Declarer's RHO, mind you, but Opener's RHO !  
      Why ?
      – Imagine an auction that starts, say with 1-Pass-1-Pass.  Opener's LHO passed over 1, a bid which is easily overcalled.  Opener's RHO, on the other hand, had a much higher "hurdle" to overcome; not only was the auction higher, but RHO had also heard hir partner pass !

      Why does this increase the chance of Opener's RHO holding more HCPs than Opener's LHO ?
      – Imagine two groups of 1000 people.  The first group failed to jump over a 1-foot-high hurdle.  The second group failed to jump over a 3-foot-high hurdle.  Which group probably has the better high jumpers ?   The second group !
      Similarly, we should assume that RHO's failure to bid over a higher call than LHO is far less limiting than Opener's LHO's inability to clear a lower obstacle. 


2HARD


      The well known "Principle of Restricted Choice" states that, if we are missing two honours, and an opponent plays one on the first round, we should assume this to be that player's last card in the suit. 
Dummy: A K 10 4  North
West + East
Declarer: 9 8 7 6 South

      Under K, East playes J.  To finesse or play for the drop of the Q ?

      Since the two honours QJ are rarely doubleton, come to your hand and finesse, expecting West to have started with Q532 and East with a singleton Jack. 

      Because the expression "Principle of Restricted Choice" is so difficult to remember, repeat and decipher, we have invented the helpful mnemonic:

      "2HARD" - 2 Honours Are Rarely Doubleton. 


Squeezes


      Novices tend to be intimidated by the concept of squeezes, dismissing them as the domain of more experienced players.
      In truth, squeezes can be even easier than finesses !
      The basis of all squeezes is the idea of "isolating" one opponent, "overloading" that opponent by forcing them to guard TWO (or more) suits. 

      (1) First, we should start by losing any tricks we need to lose early.  If, for example, we need to make 12 tricks, and can only see 11, lose one trick as early as possible so as to pave the way for making the remaining 12.
      This is called "rectifying the count"

      (2) Next, we start running off all of our winners, making certain we retain an entry to the other hand.  Setting up a winner in the other hand will not help us, if we cannot enter the other hand to enjoy it !

      (3) The third item that we need is a "threat"; a card (one we are threatening to promote) which only One opponent can guard against.  The Simple Squeeze, then, usually comes into play at trick #11. 
Game: IMPs
Vuln: Both
A 3  
2
K Q  
A
N
W + E
S
J
K Q 
2
A 2 

South plays A. 
What can poor West do ?
If West pitches A, South will toss 3 from dummy, and score 2 !
And if West jettisons K or Q, South ditches the now-useless 2, and claims the last two tricks with A3 !
This, then, is the key: whatever West (the person you are squeezing here) pitches at trick #11, Declarer pitches the Other suit (from Dummy, in this case).  This is nothing more than an application of another fundamental rule of card play: Keep winners, toss losers. 

      Note that, if at some point in the play South had disposed of 2 (say, to keep a 3rd Spade), there would be no threat to West !
      West would simply get rid of the useless A, and keep KQ to score a trick.  Note also that East is kept busy guarding those Diamonds, and cannot help West guard Spades.  Had East been dealt another Heart, though, East could guard them and allow West to concentrate on Spades. 

      In order for the squeeze to work, then, West must be "isolated" as the only one who can guard Hearts. 
      Returning to the issue of "rectifying the count", you will note that if we add one Spade to all four hands above, the squeeze doesn't work, because West can pitch Spades and leave East to "mind the store" with the Jx.  Hence, by ducking a spade early in the play (while we still have control of all four suits), we may come to the above ending. 

      And that is really all there is to the Simple Squeeze !  

      How can you remember these four essentials ?
      Use the mnemonic "CITE": Count, Isolate, Threat and Entry.  Rectify the Count, have a Threat, Isolate your victim and keep an Entry.  If those four things are in place, run your winners and wait for your opponent to start getting uncomfortable around trick 11 !


A Final Note


      This lesson is intended as a primer only.  For a far more comprehensive textbook on play, I strongly recommend Louis H. Watson's "Play of the Hand".  The definitive work on bidding will never be written, but the definitive work on card play (defence and declarer play) has been !   :)


Quiz


      1.  Partner raises your 1NT opening to 3NT on AKQ9x and nothing else.  All other suits are reasonably secure.  You calculate that you need Four Club tricks to make your contract.  Bearing in mind that you have no side entry to Dummy, how do you play the Club suit ...  
Dummy: A K Q 9 2 North
West + East
Declarer: 6 5 3 South
      (A)   ... at IMPs ?
      (B)   ... at MatchPoints ?

      2.  You need only Three Diamond tricks here:
Dummy: K 5 4 North
West + East
Declarer: A J 3 2  South
      You have plenty of entries to both hands.  At IMPs, how do you play the Diamond suit for 3 tricks ?

      3.  About leading unsupported honours ... . 

      (3a)   Playing against opponents who know to cover an honour with an honour, is it ever right to lead J here ?
Dummy: A K 4 2  North
West + East
Declarer: J 6 5 3  South

      (3b)   When can leading the J cost us a trick ?

      4.  Your opponents, who play standard bidding and carding methods, lead 7 against 1NT:3NT. 
Dummy: A Q 10 2 North
West + East
Declarer: 8 3 South
      What card should you play from Dummy at trick #1 ?



RAINBOW Series

The Rainbow Series, from 10:00 A.M.  to 12:30 PST every weekday, is a lecture program on the SAYC system, from Opening Bids all the way through to the conventional aspects of SAYC.  Unlike the FireSide and 5th Chair sessions mentioned above, the Rainbow Series is a semi-private lesson program for our students.  Nevertheless, you are invited to stop by and "eavesdrop" on the discussion from the Spectator's Loft.


If you have any questions arising from these notes, or about the Rainbow Lesson Series, please do not hesitate to email me at: cpw@escape.ca

Lesson #1: Opening Bids Lesson #2: Responses to Opening Bids
Lesson #3: Rebidding Strategies Lesson #4: Interference
Lesson #5: OverCalls & Takeout Doubles Lesson #6: Two-Suited Overcalls
Lesson #7: Pre-Empts Lesson #8: Competing with Doubles
Lesson #9: Lebensohl Lesson #10: Defensive Signalling
Lesson #11: Defensive Strategies Lesson #12: Declarer Play


General Rules of SAYC Bidding Fit Inspired Bids – "FIBs"
Doubles Cuebids
IMPs Versus MatchPoints Lebensohl
Hand Evaluation Defensive Signals
Jacoby Transfers Pre-Empts
Jacoby 2NT Response to 1 or 1S Michaels Cuebids
3 Types of Responding Hands Percentages in Bridge
Roman Key Card Blackwood BROZEL over their 1NT
4th Suit Force Assume Jumps Are Raises
Glossary of Terms Colin's Rules of Bridge



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