For Experts Only
by Pamela & Matthew Granovetter

Contents

Introduction                            vii

1. Roman Keycard Blackwood              12
by Edwin B. Kantar
A quick guideline to playing this popular slam convention; a list of 37
rules; plus 30 example auctions


2. Make Your Own Relays                 33
by Alan Truscott
You can be your own bidding inventor. It's easy and it's fun.


3. In-And-Out Valuation                 39
by Jeff Rubens
Some honor cards are more valuable than others. Are they in partner's suit
or out?


4. Two-Club Rebid Artificial            46
by Bobby Lipsitz
Ways for opener to show hand-patterns that are not covered by Standard
American bidding.

5. What Do You Play-and Why?            52
by Alvin Roth and Tobias Stone
A classic quiz of 22 play problems, detailed with famous players of the past.


6. The Monty Hall Trap                  140
by Phil Martin
Information that the opponents give you is not the same as information you
discover for yourself.


7. For Experts Only                     147
by Pamela and Matthew Granovetter
Four essays on cardplay designed to lift the game of the expert and
would-be expert.


8. Three Notrump as a Weak Slam Try     163
by Kit Woolsey
How to distinguish between serious and non-serious slam invitations.


9. How to Be a Difficult Opponent       168
by Terence Reese
A top declarer wins the first trick with the most ambiguous card he can.


10. Rediscovering the Forcing Notrump   174
by Eric Kokish and friends
Welcome to the world of the forcing notrump in the 21st Century. Here are
new methods for describing responder's hand.


11. Bridge Probabilities                185
by Steve Bloom
Are two chances better than one? Not always, says this mathematics professor.


12. The Other Way                       194
by Martin Hoffman
Sometimes declarer must play a critical card early, before the defense
knows what's going on.


13. Ethics For Experts                  196
by Michael Rosenberg
Huddles, non-huddles, slow cards and fast cards all create a dilemma in the
world of bridge ethics.


How to Be a Difficult Opponent
by Terence Reese

As a test of how easy you are to read, how would you play these familiar combinations? In each case you are playing this suit early on in a notrump contract.

(1)     x x x


        K Q x x



(2)     x x


        A Q J x




(3)     x x x


        A K Q x


(4)     x x x


        Q x

You propose to lead a low card from dummy, but you have different purposes. In a technical sense there is a right and a wrong way to play most of these combinations. And the manner in which you play them may be important too. In position (1) you want to ferret out the position of the ace. Which card do you normally play-the king or the queen? The queen is better, because if you play the king, West, holding A-x-x, will place you with king-queen and, if a good player, will hold off. It is not so easy for him to duck the queen because you might be playing toward the Q-J-x-x-x or even to an unsupported queen. Similarly, with K-Q-10-x, the best card to play on the first round is the queen, not the king.

In position (2) you intend to finesse and you want to find out who has the king. This time, if you play the queen, a good defender will read you for A-Q-J and will hold up the king. But if you finesse the jack he will surely win, because from his point of view you might be playing toward A-J-10-x or Q-J-x-x and he won't want to give you an easy trick.

In position (3) you don't want it to be clear to everyone that you hold all the top honors. The best card to play is the queen, which could be from a number of combinations.

With (4) you are leading toward the queen as a deceptive play, hoping that your opponents will place you with strength. This time, of course, you have no alternative but to play the queen.

Now, is your style and tempo exactly the same when you make all four plays? I very much doubt it. Think for a moment of when you play the defense: Can you not usually tell (especially at rubber bridge) whether the declarer is finessing, or that he knows the trick is his, or that he is up to something?

Even at duplicate very few players take a finesse and lay down a winner in exactly the same way. Work on it, and in particular avoid two pitfalls. One is the ethical pitfall. It is, of course, unethical to play the queen from A-K-Q and half wait to see who wins the trick. The other is the pitfall into which weak poker players fall-playing with extra speed or emphasis when trying a bluff.

It is worth adding that there is another side to this. If, as declarer or defender, you have noted that your opponent is slightly unethical in these situations, don't say anything! You won't get your money back, and next time you will read this opponent quite easily.

There are innumerable situations in defense where the same considerations arise. The opening lead is a good example. How does the average player act when contemplating the lead of the 5 (if that is his conventional card) from 7-5-2 against three notrump? He studies the board, goes up and down his hand like a musician strumming a guitar, and finally advances the 5 with an air of foolish expectancy. It is quite different when he leads the 5 from A-J-7-5-2. "My lead?" and out it comes.

Try, then, both to bid and play at a consistent tempo. The one occasion when it is entirely right to take your time is before playing to the first trick. Remember that declarer, seeing two hands in partnership, has an advantage over the defenders at the beginning of the play. By the time five or six tricks have been played, the balance will have shifted: The defenders will usually know more about the hand than the declarer. That is why, so far as possible, declarer should do his thinking when he has the advantage.

Let us turn now to a few technical situations where some players are more transparent than others. Most players are too much inclined to duck when their weakness has been attacked. Playing three notrump you encounter this familiar position:

        8 6 4

5 led           K played

        A 9
Apart from this suit you have one certain trick to lose; after that, you will have enough tricks for game. You cannot be sure which opponent will win the side trick.

Technically, it is correct to duck the first trick, playing West for a six card suit and no entry. Most players would do that. Practically, it is much better to win with the ace and play on the side suit. You must hope that West has the entry and that the suit will be distributed in this fashion:

        8 6 4

Q 10 7 5 x       K J x

        A 9
Now West may think you started with A-J-x and may not realize that you will gallop home unless he lays down the queen. It is quite possible that West will try to find his partner's entry.

I noted a similar situation recently from the other side of the table. Defending against two notrump, East won the first trick and switched to a new suit, which in fact was distributed as follows:

        A x x

K J x           Q 10 9 x

        x x x
Most declarers, when the ten was led, would have held up for a round or two and everyone would have known what was going on. But this declarer won calmly with the ace. Twice later West was in the lead, but he had a fixed idea that declarer held Q-x-x in the suit his partner had attacked.

On the other side of the coin are the plays that conceal strength. Many of these are well known, but here are a few that are not.

        8 4 2

K J 7 3         9 6 5

        A Q 10
At notrump, West leads the three and East plays the nine. If you win with the 10, you will never induce West to lead this suit again. But if you play the queen at trick one, West may well lead a low card when next on lead. A similar coup is possible with K-J-x:
        4

A Q 8 6 2       10 7 5 3

        K J 9
West leads the 6 and on East's 10 South plays the king. If West takes the first defense trick (as you must hope) he will lead low, because his partner might hold J-10-x.

Finally, have you ever held up in a suit where you held three top winners and only three cards?

        K 3

10 8 6 5 2       Q 9 7

        A J 4
Suppose that this suit is spades, that you have no guard in hearts, and that you will need to finesse toward East in diamonds. If you head the SQ with the ace at trick one and lose a diamond trick to East, he may attack hearts when he comes in. But suppose you play low from dummy and let the queen hold! East will return the nine to dummy's king and will surely persist with the suit later, placing his partner with A-x-x-x-x.


Three Notrump as a Weak Slam Try*
by Kit Woolsey

* A similar method is played by Eric Rodwell in his partnership with Jeff Meckstroth, and has been popularized as "Serious Three Notrump." In that method, the bids have a reverse meaning: three notrump is a serious slam try, and a cuebid is a weak try. Perhaps the method proposed by Woolsey could be labeled: "Non-Serious Three Notrump."

A common problem that troubles experts as well as average players is as follows:

Once a trump suit has been established and a game force has been created, just how much extra strength should a player have to make that first cuebid on the road to slam?

I have seen several expert pairs miss excellent slams or get too high because their methods are unable to handle this problem. Let's look at a typical case. Playing two over one as a game force, West holds:

 S  AKJxx  H  Axx  D  xx  C  Jxx

        West    East
        1 S     2 D
        2 S     3 S
          ?
Now what? Is this minimum West hand worth a four-heart cuebid, even assuming East's three-spade call shows some slam interest, as many pairs play? If West fails to cuebid four hearts, reasoning that he has a minimum opening, he may find his partner holding:
 S  QTx  H  xx  D  AKJxxx  C  KQ
East will certainly not move over a four-spade call. From his point of view partner likely has no side aces and the defense could have three cashing tricks if West's hand is:
 S  AKJxxx  H  QJx  D  Qx  C  Jx
That East hand opposite the first West hand produces a pretty good play for slam.

On the other hand, suppose West tries a four-heart cuebid. Suppose East holds something like:

 S  xxx  H  Kx  D  AKJxx  C  Axx
Because West could be considerably stronger for his four-heart cuebid, it would be hard to imagine that East would not drive to at least the five-level and quite possibly to a slam. On this pair of hands, even five spades is in quite a bit of jeopardy.

How can this problem be solved?
What we would like is for West to be able to make a bid that shows some slam interest without really being a slam try. If we decide to forget about playing in three notrump when we have an established eight-card major-suit fit, three notrump can be used for just that purpose. Not only does West convey his approximate strength, but the whole four-level is left open for further cuebidding without taking the partnership above game. Furthermore, if West does cuebid instead of bidding three notrump, East knows that West is really making a slam try rather than just cooperating, and East can bid accordingly.

Let's see how this structure would work on my above examples:

 West                   East
 S  A K J x x            S  Q 10 x
 H  A x x                H  x x
 D  x x                  D  A K J x x x
 C  J x x                C  K Q

 1 S                    2 D

 2 S                    3 S

 3 NT (some interest)   4 D (I'm interested,
                            tell me more)

 4 H (normal cuebid)    4 NT (that's what I
                                needed)

 5 C (0 or 3 keycards)  6 S

 pass


 West                   East
 S A K J x x            S x x x
 H A x x                H K x
 D x x                  D A K J x x
 C J x x                C A x x

 1 S                    2 D

 2 S                    3 S

 3 NT (some interest)   4 C (cuebid, also
                             interested)

 4 H (normal cuebid)    4 S (I've made my try,
                            it's up to you)

 pass (I'm out of gas)


 If West were somewhat stronger, with a hand like:

 S  AKQxx  H  Axx  D  Qx  C xxx,
he would cuebid an immediate four hearts rather than start with three
notrump. Note that this hand is a favorite to make a grand slam opposite
the second East hand, while the original hand is in jeopardy at the
five-level, which illustrates just how important it is to distinguish
between a real slam try and a hand that is just cooperating.

What if our trump suit is hearts? It is unwieldy to make three notrump the general interest bid, for we no longer have room to cuebid spades below the four-heart safety level. The solution is to make three spades the general interest bid. Three notrump by either partner is a spade cuebid, of course. This way, we have all the room we need.

Under what conditions should we play this treatment?
Any time we have established a game force with an eight-card major-suit fit and the last bid was three of the major, it is reasonable to use the general interest bid.

Also, consider auctions such as this:

        Opener  Responder
        1 H     2 C
        3 H
The jump establishes hearts as trumps, so it might not be a bad idea to play three spades here as the mild slam try. The exact rules for when these methods apply must be determined by each partnership. Whatever the rules are, use of this treatment should make your slam bidding much smoother.

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