Sunday, September 25, 2011

Event 3 - Match 1 - Board 8

Board 8
Neither vulnerable

♠ A Q 8 6 A 10 7 5 3 Q 10 3 ♣ 4

LHO opens one diamond, partner overcall two clubs, and RHO passes.

I bid two hearts. This isn't forcing, which is fine with me. I doubt we can make a game unless partner can raise hearts or bid two notrump. Everyone passes, and LHO leads the ace of diamonds, which could be from ace-king.


NORTH
Jack
♠ 10 5 4
K 8
6 4
♣ A K J 9 8 3






SOUTH
Phillip
♠ A Q 8 6
A 10 7 5 3
Q 10 3
♣ 4



West North East South
Sophie Jack Jacinta Phillip
1 2 ♣ Pass 2
(All pass)

East plays the diamond nine. I play the ten, the card I'm known to hold. West continues with the king of diamonds. East plays the five, and I play the three. East should have a doubleton and West should know this. With a potential overruff available, East should not encourage with queen third, tempting West to offer me a ruff-sluff. This is just the kind of thing Jack has trouble with, however. East probably would encourage with queen third, and West knows this. So she has a problem. She shifts to the deuce of spades. I'm quite happy to see that shift. My odds of making this contract have just gone up.

I play low from dummy, and East plays the king. With king-jack-nine, East would play the nine, since playing the king makes it impossible for her to play the suit again. This means West's spade is not a singleton. East might play the jack from king-jack-empty as a discovery play, but that's less clear. This discovery play is fine if you are the one to gain the lead next. But it can make things harder for partner if he gains the lead before you do. Thus the jack is not automatic from king-jack. You must weigh the pros and cons in context. (I have assumed, by the way, that East needn't worry that West has underled the ace. In this particular case--given the auction and given that dummy holds the ten--I can't imagine why she would do that.)

If hearts are four-two or better, I've made this. I can discard one spade on the club king, losing at most two hearts, two diamonds, and a spade. So my problem is how to make this if East has five hearts. Say I play a heart to the king, a heart off dummy, and East, with queen-jack-nine fifth, spits her honors. I take the ace, and West shows out. The diamond queen isn't going to cash. But the spade queen will cash. And two clubs will cash (else East would be 1-1-6-5, violating my assumption that she doesn't have a singleton spade). So I need to take two more trump tricks with my ten-seven-five. That's easy enough: I ruff a club and exit, waiting to score my trump ten. An uppercut on the third round of clubs would not hurt.

If West plays a heart honor on the first round of hearts, I can play a heart back to my ace and reach the same position. The problem occurs when everyone plays low to the first round and a half of hearts. If that happens, can I afford to let dummy's eight of hearts ride to guard against a five-one split? I can afford to lose two trump tricks, but I can't afford to lose three. If West wins the trick and gives her partner a diamond ruff, I need to be able to draw the one outstanding trump. But can I? What if West has a singleton club? After the diamond ruff, East returns a club to kill my dummy entry. Now I have to guess West's shape. If she is 3-3-6-1, I must play a spade to my ace, draw her trump, and play another spade. If she is 4-2-6-1, I must cash the club king while I'm in dummy.

Is there a line that works opposite either a singleton heart or a singleton club on my left? So far, West has shown up with ace-king-jack of diamonds and possibly the spade jack. If she doesn't have a heart honor, she must have the club queen for her opening bid. Perhaps I don't need to let the heart eight ride. If I play a heart to my ace and West shows out, I have three trump losers. But if West has the club queen, that's OK. I can finesse the club jack and pitch both small spades.

I play the three of hearts--deuce--king--four. then the eight of hearts to my ace. East plays the six; West, the queen.

I've made my contract. The only question now is whether I can manage an overtrick. One possiblilty is that hearts are three-three. I play the ten of hearts (more deceptive than a low heart), pitching a club from dummy to retain the spade tenace in case East has the jack. West pitches the deuce of diamonds. East wins with the jack of hearts and cashes the nine, on which West pitches the seven of diamonds.

East now exits with the nine of spades. A low spade might give me something to think about. She is down to all black cards, so she could conceivably be endplayed. But I decided at trick three she couldn't have king-jack-nine of spades. I hop with the spade queen and cash all my red cards. I know West began with at most two clubs, so this isn't really a squeeze. But it's almost as much fun. It turns out East has the club queen, so I make only two.


NORTH
Jack
♠ 10 5 4
K 8
6 4
♣ A K J 9 8 3


WEST
Sophie
♠ J 7 2
Q 2
A K J 8 7 2
♣ 7 2


EAST
Jacinta
♠ K 9 3
J 9 6 4
9 5
♣ Q 10 6 5


SOUTH
Phillip
♠ A Q 8 6
A 10 7 5 3
Q 10 3
♣ 4


We played the wrong seven-card major-suit fit. I should be able to take nine tricks in spades. As is often the case, the four-three fit plays better than the five-two fit, because you have more flexibility. Say West starts with three rounds of diamonds. I pitch a club from dummy, and East ruffs. She switches to the nine of spades. If I duck it, I don't think I can make three any more. But suppose I play the queen. It holds, and I cash the ace. West has the spade jack left, but that's all the defense can get. I play the ace and king of clubs, ruff a club, heart to the king, ruff a club, and cash the heart ace. If West ruffs (or overruffs) at any point, dummy will be high. If she doesn't, I'll score the spade ten en passant for the ninth trick. If the defense gets off to a different start (say, a club shift at trick two), I can pitch a diamond on the club king and start crossruffing. The defense can never do better than two diamond tricks and two trump tricks.

Our teammates played two diamonds, down two. How did that happen? It's hard to see how it's possible to sell to two diamonds after a one diamond opening. Maybe our teammate opened a hefty weak two-bid. Anyway, the board is a push. We win our first match 26 imps to 13, netting 19 out of a possible 30 victory points. This puts us in a three-way tie for first place.

Table 1: +110
Table 2: -100

Result on Board 8: 0 imps
Total: +13 imps (19 VP)

Our opponents for the next match are Stella and Kate. (Interesting. Those happen to be the names of two of my ex-partners.) They play Majeure Cinquieme. Wish me bonne chance.

Sunday, September 18, 2011

Event 3 - Match 1 - Board 7

Board 7
Both sides vulnerable

♠ K 10 7 A Q J 9 A K 6 4 ♣ 9 2

I bid one heart. This is a good hand for four-card majors. With a side suit like ace-king fourth, a four-three heart fit might easily be the right strain, and it may be hard to investigate without opening one heart. LHO doubles, partner passes, and RHO bids one spade. A bid of one notrump opposite a passing partner should show better than a strong notrump, and doubling without spade shortness is unthinkable. So I pass. If LHO passes as well, partner should suspect I have a strong notrump with three or more spades. (Not that my pass shows that. But my pass combined with the opponents' unwillingness to bid past the one level makes that my likeliest hand.) LHO bids two spades, which ends the auction.

Maybe this wasn't such a good hand for the system after all. A one notump opening might have shut the opponents out.

It's going to be hard to beat this without taking two heart tricks. But, since partner didn't raise hearts, there is a fair chance I have them. The likeliest heart split is 3-2-4 (in that order). That gives LHO a 4-3-3-3 pattern and RHO perhaps a 4-4-2-3 pattern. If my king-ten third of spades is worth a trick, I have book in hand and need to find only one trick from partner to beat this. Even the spade nine in partner's hand may be enough to give declarer a problem.

Should I start hearts right away to threaten a fourth-round overruff by partner? I might regret leading a heart if declarer has the king. (Although that's not necessarily true. I might find myself getting endplayed anyway.) I could postpone my decision by leading a high diamond. But that could work out badly also. Declarer probably wants to set up dummy's diamond queen for a discard and may be short of entries to her hand. Leading diamonds may just be doing her work for her. In addition, failure to lead a high diamond may get declarer to misplace the high cards. She may waste a hand entry taking a losing club finesse.

I have no real confidence in this decision. If a heart lead is wrong, it may be hard to justify in the post-mortem. Partners tend not to understand when you have an ace-king and lead something else. But it feels right, and Jack doesn't yell much. So I lead the heart ace.


NORTH
Sophie
♠ J 9 8 6
K 7 6
Q 7
♣ A K J 3


WEST
Phillip
♠ K 10 7
A Q J 9
A K 6 4
♣ 9 2




West North East South
Phillip Sophie Jack Jacinta
1 Double Pass 1 ♠
Pass 2 ♠ (All pass)

What kind of dummy is that? I don't care for either of North's calls. The hand is not good enough for an offshape double or for a raise to two spades.

Dummy plays the six; partner, the deuce; and declarer, the three. The deuce is attitude. Since I already know partner's attitude, it's not very informative. I continue with the heart queen--king--five--four. Partner's five should be present count, so he should be out of hearts now. Jack is rather inconsistent about present count, however. Most of the time--though, curiously, not always--he seems to play up-the-line after the initial signal.

Declarer plays the club three--four--queen. If partner's four is honest, declarer rates to be 4-4-3-2. She seems to want to pitch her fourth heart before touching trumps. But what's the point of that? I must be wrong about her shape. Maybe she's 4-3-4-2 and wants to pitch her only heart before touching trumps. That makes more sense. I guess partner decided not to give count in hearts this time. I play the club deuce. (No reason to advertise my doubleton. Partner will find out my count soon enough.) Declarer plays the seven of clubs--nine--jack--five, then the club king--six--heart eight. I ruff with the spade seven.

It's hard to see where the setting trick is coming from unless partner has a trump trick. If he has the spade ace, I have nothing to worry about. Is there any way to exploit the spade queen in partner's hand? Maybe I can get declarer to play me for a stiff ten of spades. Perhaps I can entice her to lead the spade jack from dummy in a position where I can win the king and give partner a ruff with the queen. What if I lead ace-king and a third diamond, ignoring the temptation to try to cash my heart? If declarer thinks I have

♠ 10 7 A Q J 10 9 A K x x ♣ x x

then she will lead the spade jack. I can then win with my king and lead a fourth diamond for partner to overruff.

Can it ever cost to try this? How about if the heart is actually cashing and I have to ruff the fourth club with a natural spade trick? That gives declarer

♠ A Q x x  x x x x  x x x ♣ Q x

which is inconsistent with both the auction and the play. I play the king of diamonds--seven--deuce--five. Partner's deuce should be telling me that he is out of hearts. But Jack's attitude signals are not that sophisticated. He is probably just telling me he doesn't have the diamond jack. I play the ace of diamonds--queen--three--nine. The three should show three diamonds remaining. But I don't believe it. I think partner's just not in the mood for present count today. I play the diamond six. Dummy ruffs with the spade six. Partner follows with the eight; declarer, with the ten. Not that it would have mattered, but declarer should have played the jack, the card she was known to hold (assuming partner's diamond deuce was intended to deny that card).

This ploy might actually work. If declarer is missing the spade queen and thinks I am 2-5-4-2, leading the spade jack is the right play. A singleton king or queen in my hand does her no good, so she might as well play me for a stiff ten.

Declarer plays the heart seven and ruffs it with the spade deuce as partner follows with the heart ten. Ah! If partner follows, she knows I'm 3-4-4-2, and she can play ace and another spade. If he doesn't follow, she can still choose to play me for a stiff ten of spades by leading a low spade to the ten and jack. Partner wins and must either lead a spade for her or put her in dummy with a club. Nice discovery play, Jacinta. I didn't think of that.

Declarer now leads the spade three. Partner must have the space ace, since this play makes no sense of declarer has it. I might as well duck in case it's singleton, although I don't think that's likely. Even if partner does have queen doubleton of spades, I have no need to give him an overruff in diamonds. He can give me an overruff in clubs instead. I play the ten--jack--ace. Partner returns a club. I ruff with the spade king and concede the balance. Down one.


NORTH
Sophie
♠ J 9 8 6
K 7 6
Q 7
♣ A K J 3


WEST
Phillip
♠ K 10 7
A Q J 9
A K 6 4
♣ 9 2


EAST
Jack
♠ A 5
10 5 2
8 3 2
♣ 10 8 6 5 4


SOUTH
Jacinta
♠ Q 4 3 2
8 4 3
J 10 9 5
♣ Q 7


At the other table, our opponents play one notrump, making two. So we lose one imp. It does seem our teammates dropped a trick, doesn't it? The king of clubs lead and a spade shift seems like a normal start. How will declarer find an eighth trick now?

Table 1: +100
Table 2: -120

Result on Board 7: -1 imp
Total: +13 imps

Sunday, September 11, 2011

Event 3 - Match 1 - Board 6

Board 6
Opponents vulnerable

♠ J 10 2 Q 7 5 J 7 5 ♣ A 10 9 8

RHO passes, I pass, and LHO opens with a Polish club (showing either a weak notrump, a natural one club opening, or at least 18 high-card points). Partner overcalls with one heart, and RHO bids three clubs, which is explained as showing 10 to 12 points and five or more clubs. I've never played Polish club, but I don't see how that treatment makes sense. Isn't partner's likeliest hand a weak notrump?

Given the opponents could be in a silly spot, I see no reason to stretch with three hearts. If we have a game, I'll hear from partner again. And I suspect we have a better shot at a plus score defending three clubs than declaring three hearts. Of course, I may regret not raising hearts if LHO bids three notrump and partner chooses to lead something else.

I pass, LHO bids three notrump--pass--pass to me. Exactly the auction I was worried about. Should I double to make sure partner leads a heart? I do have a double stopper in dummy's long suit. But for all I know they can take nine tricks outside the club suit. Or perhaps they can even afford to lose two club tricks if partner doesn't have a side entry. For that matter, why am I even so sure I want him to lead a heart? If he has, say, ace-jack-ten fifth of hearts and out, a heart might be the only lead to let them make it.

All in all, doubling seems like a bad idea. I pass, and partner leads the king of spades.


NORTH
Jacinta
♠ 8 5 3
K
10 9 8 6
♣ K Q 7 4 2




EAST
Phillip
♠ J 10 2
Q 7 5
J 7 5
♣ A 10 9 8


West North East South
Jack Jacinta Phillip Sophie
Pass Pass 1 ♣1
1 3 ♣ Pass 3 NT
(All pass)
1Polish Club

Since declarer appears not to have a natural one club opening (and can hardly have a weak notrump), she must have at least 18 high-card points, which leaves partner with at most six. If I credit partner with the king-queen of spades and a side jack, how many tricks does that give declarer? Four diamonds (I hope only four), two hearts, and one spade. All she needs is two club tricks, so I have to hope partner's jack is the club jack.

Dummy plays the three of spades. The fact that partner led the spade king without the jack or ten suggests he is leading a short suit, hoping to find me with length. If so, I don't like our chances, so I might as well assume that's not the case. Perhaps partner decided to lead the king rather than low from king-queen-nine fourth. I play the jack, and declarer wins with the ace. That's a surprise. Why isn't she ducking this trick?

Before I turn my card over, I need to figure that out. Any time declarer does something unexpected, it's time to stop and think. Often, there is only one explanation for declarer's play, and if you take the time to work out what it is, you will be double-dummy from that point on.

The usual reason for spurning a duck at trick one is that you are afraid of a shift. What shift could that be? Perhaps she is afraid of a heart shift, which would kill the entry to dummy's clubs. Maybe she has this hand:

♠ A x x A J x x A K Q x ♣ x x

She intends to play partner for the club ace, taking a spade, two hearts, four diamonds, and two clubs. But a heart shift at trick two might kill the only entry to the second club. (She might have a diamond entry. But not if I have jack fourth of diamonds.) Whether this is the right line or not doesn't concern me, since I'm not declaring. But it's certainly a reasonable line. And it's the only explanation I can think of for winning the first trick. This construction does give partner a rather questionable one heart overcall:

♠ K Q 9 x x x x x x x x ♣ J x

That looks more like a one spade overcall to me. But it wouldn't be the first time I disapproved of Jack's bidding.

Now that I know declarer's plan, I know what to do. When she leads a club to dummy's king, I'm going to duck. We don't have enough cashable tricks to beat this, and I have nothing constructive to do with the tempo. So there is nothing to gain by winning the trick. Declarer will then play a diamond to her hand and a club to the queen, allowing us to cash three clubs and three spades for down two. Come to think of it, this beats it one even if partner did lead a three-card spade suit. I guess it was pre-mature to give up on that layout. OK. I'm ready. I turn my jack of spades over.

Declarer plays the diamond queen, Why cash a diamond? Is she unblocking with ace-king-queen tight? No. Partner plays the four, which must be from four-three or four-deuce doubleton. I play the diamond seven, following the routine procedure of giving false count when holding the jack. (It's hard to see how it will matter here. But it pays to be consistent. In my opinion, partner is entitled to assume I don't have the jack if I give correct count.)

Declarer plays the five of clubs--three--queen. I duck as planned. Since I want declarer to think partner has the club ace, I play the eight of clubs, as I would if I had ten-nine-eight.

Declarer plays a diamond to her ace. I play the five and partner follows with the deuce. I expect another club, but declarer cashes the king of diamonds, on which partner discards the heart deuce. What's this? Declarer is now out of entries to her hand and hearts are still blocked. What's she up to? Time to pause and take stock again.

If declarer is stranding her heart ace, she must be intending to force us to play hearts for her. It appears she is abandoning the idea of playing for the club ace onside (And I thought I ducked smoothly!) Instead, she is playing me for the heart queen (or no spade entry, which seems wildly unlikely given my play at trick one). She is going to cash diamonds, cash the heart king, and play a spade. If partner began with a singleton club or with ace doubleton, then there is no way for us to avoid handing declarer her ninth trick. Say, for example, that partner began with a singleton club. Then this will be the position in the endgame:


NORTH
Jacinta
♠ 8 5
--
--
♣ K 7 4 2


WEST
Jack
♠ Q 9 x
x x x
--
♣ --


EAST
Phillip
♠ 10 2
Q
--
♣ A J 10


SOUTH
Sophie
♠ x x
A J x
--
♣ x


When declarer leads a spade from dummy, there is no way for us to avoid giving her a club trick or an extra heart trick. She will end up taking two hearts or a heart and a club whatever we do. Pretty clever, that Sophie.

Except it isn't going to work, because partner has another club, and it's the jack, not the ace. So this will be the end position


NORTH
Jacinta
♠ 8 5
--
--
♣ K 7 4 2


WEST
Jack
♠ Q 9 x
x x
--
♣ J


EAST
Phillip
♠ 10 2
Q
--
♣ A 10 9


SOUTH
Sophie
♠ x x
A J x
--
♣ x


When declarer plays a spade, partner will cash his spades, and I will pitch my queen of hearts. When partner plays the club jack, declarer will duck. But I will overtake and return a club to dummy's king, establishing my club nine as the setting trick.

Declarer's line fails because the heart ace is stranded. Could she have made this by not cashing the third diamond, retaining communication to her hand? We would reach this position:


NORTH
Jacinta
♠ 8 5
--
10 9
♣ K 7 4 2


WEST
Jack
♠ Q 9 x
x x x x
--
♣ J


EAST
Phillip
♠ 10 2
Q 7
J
♣ A 10 9


SOUTH
Sophie
♠ x x
A J x
K x
♣ x


When declarer plays a spade from dummy, I duck it to partner's nine. Partner switches to the club jack, which declarer and I must duck. Partner can't afford to cash the spades now, as he will have only hearts left. So he leads a low spade to my ten, and I exit with the jack of diamonds. Declarer can't take a ninth trick.

So declarer must cash three diamonds to strip me of my exit. But she must also retain a fourth-round diamond entry to her to hand to avoid stranding the heart ace. The way to do that is to take a finesse against my jack of diamonds. When she played the eight of diamonds from dummy, she needed to let it ride. She could then play a diamond to ace, a heart to the king, and a spade. There is no longer any defense. What a great hand!

Back to the actual problem. In case you've lost track, this is where we are, with declarer on lead:


NORTH
Jacinta
♠ 8 5
K
10
♣ K 7 4 2




EAST
Phillip
♠ 10 2
Q 7 5
--
♣ A 10 9

Declarer plays a diamond to dummy, and partner discards a second heart, the three. I need all my black cards, so I pitch the five of hearts. Declarer cashes the heart king--seven--six--nine. The nine? That's an unexpected card. It must be present count from four remaining, so partner began with six hearts. But the nine can't be his highest card, so he must have begun with jack-nine sixth. My whole construction is wrong. Partner is 3-6-2-2, making declarer 4-3-4-2. Furthermore, declarer has only a 17-count:

♠ A x x x A 10 x A K Q x ♣ x x

That's a pretty good 17-count, though. Perhaps she upgraded it. And it does give partner a less questionable one heart overcall. (Though Adam Meredith might still overcall one spade.)

Declarer leads the five of spades from dummy. I hop with ten. Declarer plays the four, and partner plays the nine. Yes. That confirms it. Partner is indeed 3-6-2-2. He wouldn't play the nine of spades with queen-nine-small left. Instead of playing a spade as I intended, I must play the heart queen, establishing partner's hearts before declarer can set up her long spade.

It is strange, however, that declarer made no attempt to make this contract. She could have played partner for the club ace (which wouldn't work) or she could have played for three-three spades (which would). The line of play she chose makes no sense at all unless she has the heart jack. I'm inclined to think partner miscarded, dropping the nine instead of the ten from ten-nine fourth remaining. Still, it can't be right to play a spade, since I'm 100% sure about the count. As weird as it is to signal with the nine while holding the ten, it's even weirder to give false count in hearts, then drop the spade nine under my ten for no reason.

I play the queen of hearts. Declarer wins with the ace, then cashes the jack of hearts. Oh, well. I pitch a club. Declarer plays a club to the jack, king, and my ace. Partner has a high heart and a high spade left. I'm not about to cash my last club and give him a chance to pitch the wrong thing. I play the spade deuce, and partner claims.


NORTH
Jacinta
♠ 8 5 3
K
10 9 8 6
♣ K Q 7 4 2


WEST
Jack
♠ K Q 9
10 9 8 4 3 2
4 2
♣ J 3


EAST
Phillip
♠ J 10 2
Q 7 5
J 7 5
♣ A 10 9 8


SOUTH
Sophie
♠ A 7 6 4
A J 6
A K Q 3
♣ 6 5


We were never beating this. But partner's nine of hearts could have caused an accident. Any card intended as high should deny the touching higher card. It's important to be disciplined about that, so that any deviation can be safely interpreted as some kind of alarm-clock signal.

Did I err in ducking the club? If declarer was 3-4-4-2 as I was assuming, I allowed her to make it, albeit by a line few declarers would find. Had I taken the club ace and returned a club, nothing bad could happen. (Taking the club ace and playing a spade works as well provided partner plays a club after cashing spades to get me off the club-heart squeeze. It's better if I play clubs myself to take the pressure off partner.) On the other hand, ducking and hoping declarer would play partner for the club ace was my only shot to beat it on the actual layout. I suspect ducking was the right play, but I still have to give myself a charge for not appreciating the risk I was taking.

Might declarer find the winning line with 3-4-4-2? Perhaps. If she is confident for whatever reason that I ducked the club ace, what else is there to do but try for an endplay? But to execute the endplay, she must guess diamonds. If partner is three-one in the minors, she must cash the top diamonds. If partner is two-two in the minors with both jacks, she must cash two diamonds and play the third diamond to dummy. And if partner is two-two with only the club jack, she must finesse against my diamond jack. Note that, as the cards lie, if the defense can be counted on to give honest count but do not play mandatory false cards with the jack, declarer can work out the lie of the diamonds. West plays the diamond four on the first trick; East plays five-seven. West must have the deuce and East must the jack. But if they do play mandatory false cards with the jack, South can't read the position. West plays the diamond four; East plays seven-five. She knows one defender gave correct count with two small and the other gave false count with jack third. But there is no way to know which defender is which. This is the principle behind the mandatory false card. It allows you to give honest count to partner without revealing the count to declarer. But I've never seen it work in quite this way before.

Our teammates also made three notrump, so the board is a push. A classic Gargoyle Chronicles deal! Lots of things to discuss. But the board is a push and every decision I made proved to be immaterial.

Table 1: -600
Table 2: +600

Result on Board 6: 0 imps
Total: +14 imps

Monday, September 5, 2011

Event 3 - Match 1 - Board 5

Board 5
Our side vulnerable

♠ K 7 6 Q 9 8 3 K 10 4 ♣ Q 5 4

RHO opens one notrump (15-17) in second seat. LHO bids two hearts, a transfer to spades. RHO bids two spades, which ends the auction.

With nothing much to go on, I lead the eight of hearts, choosing my longest suit.


NORTH
Sophie
♠ 10 9 4 3 2
K 10 5
8 6
♣ 10 9 6


WEST
Phillip
♠ K 7 6
Q 9 8 3
K 10 4
♣ Q 5 4



West North East South
Phillip Sophie Jack Jacinta
Pass 1 NT
Pass 2 1 Pass 2 ♠
(All pass)
1Jacoby-transfer

Partner has from 10 to 12 high-card points. Make that 10 to 11, since he's a passed hand. It's inconceivable he didn't balance with a singleton spade. So declarer has at most three spades.

Dummy plays the heart ten, partner plays the jack, and declarer follows with the seven. Partner switches to the ace of clubs. With ace-jack doubleton of hearts, partner would cash the ace and try for a heart ruff. With ace-jack fourth, partner might worry that declarer can ruff a heart and might switch to a trump. (He can't be sure I have four hearts, but it's likely, since queen-nine-eight third is a rather unattractive lead.) I am going to assume, therefore, that hearts are three-three, although I can hardly be certain about that just yet. Partner might have reasons I don't know about to prefer a club switch to a trump switch.

Why is partner leading the club ace rather than a low one? Perhaps he has ace doubleton and is looking for a ruff. Or perhaps he has the jack and sees no gain in leading low. Perhaps he would prefer to retain the option of switching plans if, say, declarer dropped an honor under the ace. Leading the ace from length without the jack would be dangerous, since it could cost a trick if I had queen doubleton or queen-jack doubleton. (Not to mention taking declarer off a potential guess, although that's something Jack wouldn't worry about.)

Declarer plays the eight. Do I want partner to continue clubs or to switch to diamond? Say partner plays a club and declarer hops with the king and plays another one to my queen. Partner still has the ace of hearts as an entry to put a diamond through. And I have a spade entry to cash it. So we won't lose my king of diamonds. If partner switches to a diamond, however, and if declarer has ace-queen-jack, there may be no way for us to stop my club trick from disappearing. Accordingly, I encourage with the five.

Partner continues with the seven of clubs, and declarer wins with the king. If the seven is an honest card, partner should have either (1) ace-seven doubleton, (2) ace-jack-seven,  or (3) ace-jack-seven fifth (where the seven is present count). He might also have (4) ace-seven third. As I explained earlier, I'm inclined to think won't have length without the jack. But I will include that holding anyway for the time being. I can always discard that possibility later if it becomes too hard to cater to it. That gives declarer:

(1) ♣ K J 8 3 2
(2) ♣ K 8 3 2
(3) ♣ K 8
(4) ♣ K J 8 x

(2) is impossible. Declarer cannot afford to falsecard the eight with that holding. So I'm left with (1), (3), and (4).

What else do I know? Since partner has shown up with nine high-card points and is a passed hand, he can't have both spade honors. Declarer also knows partner is limited to two additional high-card points. so, from his point of view, I am marked with both the diamond king and spade king.

I follow with the club four. Declarer cashes the spade ace. He needn't bother finessing with ace-queen. But he would probably make a more concerted effort to pick up spades if he had ace-jack. So I am going to assume he has ace-queen, ace-queen-small, or ace-queen-jack.

I play the seven--deuce--five. Declarer now leads the diamond jack. Whoa! What is going on? What's the hurry to play diamonds? For that matter, why play diamonds at all? All our round-suit tricks are ready to cash, so there is nothing to gain by setting up diamond tricks.

I play the king, and partner follows with the deuce, showing an odd number. I should be able to construct declarer's hand now. Declarer must have either

(1) ♠ A Q x x x A Q J ♣ K J 8 x x
(3) ♠ A Q ? x x x A Q J x x ♣ K 8
(4) ♠ A Q ?  x x x  A Q J ♣ K J 8 x

(1) and (4) are not possible. Declarer has nothing to gain by conceding a diamond with those hands. He would play clubs, intending to pitch a diamond on the club jack and hoping we must ruff with a natural trump trick. Playing on diamonds makes perfect sense with (3), however. Declarer must knock out the diamond before trumps are drawn, else we will be able to cash a club trick. Driving the diamond king allows him to pitch dummy's club if diamonds are three-three, if someone ruffs the third diamond with a natural trump trick, or if we make a mistake on defense. In fact, I suspect I can go even further and assume that the '?' is the jack. If it is the eight, declarer probably would not have cashed the spade ace. Cashing the ace risks allowing us to draw his trumps (heart to the ace and a spade to my putative king-jack) and cash the club.

I play the nine of hearts (the lowest card I can afford, to show an odd number remaining. The queen should show a doubleton.) Declarer plays king from dummy. Partner wins with the ace and returns the deuce to my queen. If my construction is correct, it doesn't matter what I do. So I must assume I'm wrong. It's hard to believe I'm wrong about declarer's having a doubleton club. Abandoning trumps to establish diamonds is simply pointless otherwise. But I might be wrong about the spade jack. If partner has it and I continue a club, declarer will ruff and play the spade queen, smothering the jack. If I play a diamond, allowing declarer to pitch his club loser, he must play trumps out of his hand and might misguess.

Of course, a human expert could not possibly misguess. If I had king doubleton, I could take two trump tricks by force by tapping him. So, against a human, I would play a club anyway. Even though I'm fairly sure it's not cashing, there's nothing else worth trying. Jack, however, cannot draw inferences from my defense. So he's perfectly capable of "misguessing" spades. I play the ten of diamonds--eight--seven--ace. Declarer cashes the queen of diamonds, pitching dummy's club, then plays the eight of spades from his hand, which I let ride to partner's jack. Down two.


NORTH
Sophie
♠ 10 9 4 3 2
K 10 5
8 6
♣ 10 9 6


WEST
Phillip
♠ K 7 6
Q 9 8 3
K 10 4
♣ Q 5 4


EAST
Jack
♠ J 5
A J 2
9 7 2
♣ A J 7 3 2


SOUTH
Jacinta
♠ A Q 8
7 6 4
A Q J 5 3
♣ K 8


My care in going for the extra trick was worthwhile, since our teammates played the same contract, down one. We pick up two imps.

Table 1: +100
Table 2: -50

Result on Board 5: +2 imps
Total: +14 imps

Sunday, August 28, 2011

Event 3 - Match 1 - Board 4

Board 4
Both sides vulnerable

♠ J 7 4 2 A 9 7 5 4 ♣ J 8 6 5

Partner opens one diamond, RHO doubles, and I bid one spade. Partner raises to three spades, and RHO bids four hearts. I wasn't bidding if she passed, and I have no surprises on defense. So I pass. Partner goes on to four spades.

I've never cared for auctions like this. As far as I'm concerned, once you've made a limit bid, you're out of the auction unless partner invites you back in. But, putting my personal bias aside for the moment, this bid might be excusable if three spades was based primarily on shape. Perhaps partner is six-four in diamonds and spades. Excusable or not, I still wouldn't do it myself. If partner knows I'm capable of this kind of auction, it puts too much pressure on him to make close penalty doubles. RHO passes, I pass, and LHO bids on to five hearts. Partner doubles.

I suppose I should be grateful for partner's break in discipline on the previous round. But this double makes no sense at all. It's not as if he needs to double to stop me from bidding five spades when I wasn't willing to bid four. So he must be doubling to increase the penalty. If he expects to beat them only one, the imp odds on doubling are rather poor. And if he expects to beat them more than one, why did he sacrifice on the previous round? Unless partner misbid earlier, this double is sheer bravado.

Everyone passes. What should I lead? Partner's likeliest pattern is 4-1-6-2. In general, it's dangerous to lead a weak nine-card fit. If the opponents have bid a lot, the suit rates to be three-one. So, unless there is some urgency to cash your ace, there is probably nothing to gain by leading the suit. And it may help declarer by setting up pitches for him. For example, I might catch dummy with king third and declarer with a singleton queen. Leading a weak eight-card fit is both more likely to be productive (since you are more likely to have tricks to establish in that suit) and, in my experience, tends to be safer as well.

Note this caveat applies only to weak nine card fits. If I had the king or queen of diamonds, I would lead a diamond. With no fillers in diamonds, however, I lead the four of spades.


NORTH
Sophie
♠ 10 9
10 7 6 5 4
10 6
♣ K 10 9 4


WEST
Phillip
♠ J 7 4 2
A 9
7 5 4
♣ J 8 6 5




West North East South
Phillip Sophie Jack Jacinta
Pass 1 Double
1 ♠ Pass 3 ♠ 4
Pass Pass 4 ♠ Pass
Pass 5 Double (All pass)

It appears partner has a void in hearts. He's probably 4-0-6-3, leaving declarer with 3-6-2-2. Perhaps that explains his four spade bid. Some players advise you to "bid one more than normal" with a void in the opponents' suit. Although that rule seems dangerous to me. Once you internalize it, your idea of "normal" changes, and you wind up with infinite regression problems.

Partner plays the spade king and declarer wins with the ace. So much for spade tricks. It's a good thing I have the spade jack, else my lead might have allowed declarer to pitch one of dummy's diamonds away, which would be quite embarrassing after my lecture about opening leads.

A typical jump raise by opener contains about three and half honor tricks if balanced and about three honor tricks with a shapely hand. (I know it's old fashioned to think in terms of honor tricks instead of high-card points. But I often find honor tricks easier to work with in contructing hands, particularly when you are trying to count tricks on defense.) The king of spades is half an honor trick. Partner should have about two and half left. There are various possiblities. He might have (1) king-queen of diamonds and the ace-queen of clubs, (2) the ace and king of diamonds plus both minor-suit queens, or (3) both minor-suit aces and one of the minor-suit queens. It would be highly optimistic to count on a second-round diamond trick on defense. So, given partner's double, (1) and (2) seem unlikely. If partner has (3), what does that leave declarer?

♠ A Q x K Q J x x x K ? ♣ ? x

where one of the question marks is a queen. Personally, I would overcall one heart with that hand rather than double one diamond. But some people think 17 high card points is too much for a simple overcall. Perhaps Jacinta is one of them.

The problem with this construction is that it doesn't matter what I do. We will take our three aces and perhaps partner's club queen. Nothing is going away. For it to matter what I do, I need to credit declarer with one of the aces. I need to consider (1) and (2), even though they each give partner a less attractive double.

If partner has (1), then declarer has,

♠ A Q x K Q J x x x A x ♣ x x

If I don't switch to a club on winning the heart ace, declarer can strip the hand and endplay partner.

If partner has (2), declarer has,

♠ A Q x K Q J x x x x x ♣ A x

Now switching to a club costs a trick. The diamonds aren't going anywhere, however. Is there anything to gain by not cashing them? Maybe. If declarer happens to have the eight of spades, refusing to cash them gives her the option of trying to make the hand by finessing partner for the spade jack. If she does that, she'll go down two instead of one. So opposite this hand, my best play on winning the heart ace is to return another heart.

Fortunately, partner can help me when I win the heart ace. If he wants a club switch, he will pitch a discouraging diamond.

Declarer leads the deuce of hearts. If I need to switch to a club, I can't afford to duck this. Declarer has no need to play a second heart. She can simply strip the hand and play ace and a diamond. Accordingly, I hop with the heart ace. Partner follows with the three.

So declarer bid this way with a five-card heart suit? That means I get no signal from partner. But it also gives declarer an extra minor-suit card, which means I don't have to worry about case (1). There is no endplay, since declarer either has a third diamond or a third club (in which case a ruff sluff doesn't cost).

Since there is no reason for me to play a club, my choice is between cashing partner's diamonds or going for the sucker play by exiting with a trump. Is there any risk in exiting a trump? Some. If declarer has ace-queen third of clubs, she can finesse me out of my club jack, pitch a diamond from her hand, and make this. But if she has that hand, partner has an inconceivable double of five hearts:

♠ K x x x x A K Q x x x ♣ x x

Inconceivable or not, am I willing to bet the contract that partner doesn't have that? And how likely is my ploy to work anyway? For a heart exit to gain, not only must declarer have the spade eight, but she must also play me to be an idiot, failing to cash partner's diamonds for no reason.

On second thought, playing me to be an idiot might not be such a bad idea, because I am an idiot for even thinking about this. We pushed the opponents to the five level, doubled them, and now I'm going to risk letting them make it in search of an extra undertrick? That makes no sense. I play the seven of diamonds. Partner wins with the queen, cashes the ace, then shifts to the six of spades. The six, eh? That means declarer does have the eight. Declarer hops with the queen and claims. Down one.


NORTH
Sophie
♠ 10 9
10 7 6 5 4
10 6
♣ K 10 9 4


WEST
Phillip
♠ J 7 4 2
A 9
7 5 4
♣ J 8 6 5


EAST
Jack
♠ K 6 5 3
3
A K Q 2
♣ Q 7 3 2


SOUTH
Jacinta
♠ A Q 8
K Q J 8 2
J 9 8 3
♣ A


Partner bid this way with a 4-1-4-4 pattern? I guess I can't argue. He was right. Four hearts is making, and four spades is a good save. I'm lucky we weren't sitting in opposite seats.

Would the sucker play have worked? One of the nice things about Jack is you don't have to speculate about such matters. You can find out. I replay the deal, exiting with a trump after winning the heart ace. Jacinta indeed takes the spade finesse and goes down two.

As one might expect, however, my "error" did not cost much. Our teammates were allowed to play four hearts, making, so we pick up 13 imps. The extra trick would have been worth an additional two imps, whereas allowing them to score this (were that possible) would have cost 19 imps. Given that risk-reward ratio, I think I did the right thing.

Table 1: +200
Table 2: +620

Result on Board 4: +13 imps
Total: +12 imps

Sunday, August 21, 2011

Event 3 - Match 1 - Board 3

Board 3
Opponents vulnerable

♠ A K J 7 6 2 8 7 ♣ A J 10 9 5

If I open one spade and partner responds one notrump, I have a problem. This hand isn't good enough to force to game with three clubs, but I could easily miss a game if I rebid only two clubs. Fortunately, I have an Acol two-bid available for precisely this situation  I open two spades, partner responds two notrump (negative), and I bid three clubs. Some play this auction as forcing to three spades, but that doesn't make sense to me. Acol two-bids shouldn't have playability in more than two strains, so why do you a need a forcing three club bid? If three clubs doesn't do your hand justice, bid four clubs.

Over three clubs, partner bids three diamonds. Maybe I'm supposed to pass this. But with a sixth spade and a singleton diamond it seems advisable to bid three spades. Partner bids five diamonds. He must have thought three diamonds was forcing. Or maybe he's just mad at me for not passing three diamonds. Given the original negative response, I can't see how we're going to make this. I pass. LHO, agreeing with my assessment, doubles, ending the auction. West leads the king of hearts.


NORTH
Phillip
♠ A K J 7 6 2
8
7
♣ A J 10 9 5






SOUTH
Jack
♠ --
J 10 3
Q J 10 9 8 5 4 2
♣ 7 6


West North East South
Jacinta Phillip Sophie Jack
2 ♠1 Pass 2 NT2
Pass 3 ♣ Pass 3
Pass 3 ♠ Pass 5
Pass Pass Double (All pass)
1Acol Strong two
2Negative

What was wrong with four diamonds? Was partner really worried that we would make five if I passed? Perhaps I should have passed three diamonds, but it didn't seem like a good idea at the time.

There isn't much to the play. West finds the obvious diamond shift at trick two, and the opponents cash their hearts. We lose three hearts and two diamonds for down three.


NORTH
Phillip
♠ A K J 7 6 2
8
7
♣ A J 10 9 5


WEST
Jacinta
♠ 9 5 4
K Q 9 6 4 2
K 3
♣ Q 8


EAST
Sophie
♠ Q 10 8 3
A 7 5
A 6
♣ K 4 3 2


SOUTH
Jack
♠ --
J 10 3
Q J 10 9 8 5 4 2
♣ 7 6


Look at that! The diamond shift wasn't quite so obvious as I thought. Nor is it obvious which diamond to lead. There are plenty of three-card holdings East might have where it would be right to lead the king. Jack third, queen-ten third, and ace-jack third come to mind. I guess Jacinta thought her partner was more likely to hold a singleton than to hold three.

Can the opponents make anything? Four hearts goes down on a ruff, but they can make three notrump. In fact, they can make four notrump. So, technically, five diamonds doubled is par. I'll have to point that out when our teammates complain about our result. Actually, this result might not look so bad to them. We benefited from the pre-emptive effect of the Acol two-bid. After a one spade opening, East-West will probably reach four hearts. And, while it does go down, it may be hard for South to sell out. So, even though we should have played four diamonds at our table (or maybe even three), five diamonds doubled is probably a fairly normal result.

When we compare, we discover our teammates defended four spades undoubled, down two. There is no way to find out from Jack what the auction was at the other table, but they must have had some auction that, like ours, prevented West from sticking in a heart overcall. If West bids, surely East, looking at five potential defensive tricks in his own hand and the high probability that his side can make a game, will double four spades.

Maybe North opened four spades. That's about the only way I can imagine his playing there without being doubled. It's also the only way I can imagine his getting out for down two. If West bids hearts, East will lead the heart ace, and declarer will finish down three. After a four-spade opening, however, East will probably lead a club.


Table 1: -500
Table 2: +100

Result on Board 3: -9 imps
Total: -1 imp

Monday, August 15, 2011

Event 3 - Match 1 - Board 2

Board 2
Our side vulnerable

♠ Q 6 5 9 Q J 9 8 3 ♣ Q 8 7 3

RHO opens with a Polish club, showing, as I understand it, either a weak notrump or a normal one club opening or a good hand. Such an ambiguous call screams for me to act, but no bid appeals, especially at this vulnerability. I pass. LHO responds one heart (natural). Partner passes, and RHO bids two diamonds (artificial), showing a game force with at least three hearts. I double. This might not be such a good idea. With queens in the other two suits, I might regret talking partner out of his normal lead. But I hate going through an entire auction without bidding or doubling something.

LHO bids three notrump. This should be mildly slammish. Even if you generally play fast arrival (which I don't), fast arrival should not apply here. Two notrump can't promise slam interest, because it's needed to allow further exploration for the right strain. Thus, if one doesn't play three notrump as slammish, one has no unambiguous way to show extras without bidding past game. But who knows what Jack thinks? Everyone passes three notrump, and partner leads the deuce of diamonds.


NORTH
Jacinta
♠ A 7 3
A 7 2
A 6
♣ A K 6 4 2




EAST
Phillip
♠ Q 6 5
9
Q J 9 8 3
♣ Q 8 7 3


West North East South
Jack Jacinta Phillip Sophie
1 ♣1 Pass 1
Pass 2 2 Double 3 NT
(All pass)
1Polish Club
2Relay. At least threecard support and strong.

Presumably declarer has the diamond king. As I understand Jack's leads, partner would lead high from three small. So he has either ten third or four small diamonds. (I guess he could have a singleton, too. But, in that case, we might be defending two diamonds redoubled.) Declarer plays low from dummy. It crosses my mind to make a discovery play of the eight. If I'm right that partner can't have three small, the eight can't hurt. And if declarer wins with the ten, I will know right away that partner has four diamonds.

It crosses my mind, but I'm not going to do it. Perhaps it comes from playing with Lowenthal. But I prefer to give partner more leeway on opening lead than that. Not to mention how silly I'd feel if Sophie had brazenly bid three notrump with ten third. I play the jack, and declarer wins with the king. Declarer plays the three of hearts to dummy's ace. Partner plays the four. It appears declarer has four hearts and partner has five. Declarer continues with the deuce of hearts from dummy. It probably can't hurt to pitch a spade. I surely can't afford a club, and I may need the long diamond trick. So I pitch the five of spades. Declarer wins with the queen, and partner follows with the six. Jack plays up the line after his initial count signal, so declarer must have the five of hearts, presumably king-queen-five-three. Now I know enough about the hand to start counting tricks. Declarer has one spade, three hearts, two clubs, and two diamonds. I must assume partner has the spade king, else declarer has nine tricks.

Declarer plays the five of clubs--ten--king. Partner should have either a singleton ten or ten-nine. The eight and seven are too important to part with, so I play the three. Declarer plays the seven of hearts. If declarer had jack-nine of clubs remaining, she would have played a low club from dummy, establishing her ninth trick, so clubs must be two-two. That makes declarer 4-4-3-2. After this trick, declarer will be out of entries to her hand, so I needn't worry about holding on to diamond winners. As long as we prevent declarer from developing a trick in the black suits, she's going down. I can't afford another spade, since that will give declarer a trick if she has jack-ten. I pitch the nine of diamonds. Declarer wins with the king, and partner plays the ten. The ten? What happened to playing up the line?

Declarer plays the five of hearts, and partner pitches the four of diamonds. I see. Declarer has six hearts. Time to reevaluate. Declarer has eleven cashing tricks, twelve if she has the spade king. Our objective now is to stop the overtricks. It would simplify my analysis to know if declarer had the spade king or not. Do I have any clues? The play is more consistent with having twelve cashing tricks than with having eleven. With eleven cashing tricks, the normal procedure is to duck a trick to set up a potential squeeze. So I would expect declarer to duck a club. In addition to setting up a possible squeeze, this would offer her the chance of finding three-three clubs. The fact that declarer isn't ducking a club suggests she has twelve cashing tricks and is trying to take thirteen. It also means that my inference above about two-two clubs was wrong. The reason declarer didn't duck a club was that she doesn't intend to lose any more tricks.

On the other hand, the spade king gives her an awfully good hand. King-queen-jack-ten sixth of hearts and two kings? Six playing tricks opposite a hand willing to force to game opposite a simple response? Surely she would have made a more serious slam move with that hand. I'm changing my mind. I'm going to assume partner has the spade king. But if declarer has only eleven tricks, why isn't she ducking a club? Instead of going for a squeeze, she must be intending some kind of endplay.

What is declarer's shape? Partner's diamond four should show an odd number remaining. But Jack's present count signals aren't always reliable. Fortunately, logic confirms the message of his signal. He would be disinclined to pitch a diamond with ten doubleton remaining, leaving me to guard diamonds by myself. So he must have started with four. That makes him either 5-3-4-1 or 4-3-4-2, leaving declarer with either 2-6-2-3 or 3-6-2-2. The latter seems more likely. Partner might have pitched a spade from five. And, if I'm right that declarer is planning an endplay in spades, she must have three. There can be no endplay with jack doubleton of spades. So I am going to assume that declarer is 3-6-2-2, but I will keep 2-6-2-3 in the back of my mind as a remote possibility.

Declarer pitches the deuce of clubs from dummy; I pitch the three of diamonds. On the next heart, partner pitches the four of spades. Declarer plays the four of clubs from dummy; I pitch the club seven. On the last heart, partner pitches the five of diamonds, and dummy pitches the six of clubs. This is the position I'm assuming, with me still to play.


NORTH
Jacinta
♠ A 7 3
--
A
♣ A


WEST
Jack
♠ K ? ?
--
x
♣ 9


EAST
Phillip
♠ Q 6
--
Q 8
♣ Q 8


SOUTH
Sophie
♠ ? ? ?
--
x
♣ J


Which minor should I unguard? If my construction is correct, it doesn't matter. So I might as well assume my construction is wrong. This is where the back of my mind comes in handy. I've already decided that there is a remote possibility declarer was 2-6-2-3. Accordingly, I'll guard clubs and pitch a diamond. (If this is wrong, I can always blame partner. What's he doing holding on to the nine of clubs anyway? He should have pitched it. Then I would know for sure declarer didn't have another club.)

Before I play, however, I need to think about what's going to happen in the end position. This is a familiar matrix. It appears declarer has jack-ten third of spades and is hoping to catch partner with king-queen. She has kept both minor-suit aces in dummy to prevent partner from pitching down to king-queen doubleton of spades. Partner must hold king-queen third of spades and two minor-suit cards. If partner is void in one of the minors, declarer now cashes that ace, forcing partner to come down to a singleton in the other minor. Declarer then cashes the other ace and leads a spade to the jack, endplaying partner. Nicely done.

Except that the endplay isn't going to work, since I have the spade queen. So, when declarer leads a spade from dummy at trick eleven, I have two choices: (1) hop with the queen and cash my club, holding declarer to five; or (2) duck, hoping declarer plays partner for both spade honors. If she does, we'll take the last three tricks, holding declarer to four. If she doesn't--if she rises with the ace when partner leads a spade at trick twelve--she'll drop my queen and make six.

At matchpoints, this problem would be a nightmare. At IMPs, it's much easier. If I trust my teammates to reach six hearts, then it makes no difference whether we hold declarer to ten tricks or eleven. Either way, we gain 11 imps. If I let declarer make six, however, we gain only 10 imps. So there is nothing to gain by ducking. My proper play is to hop and cash my club.

Now I'm ready. I pitch the eight of diamonds. Declarer plays the ten of diamonds to the ace, and partner follows with the seven. Declarer cashes the club ace--eight--nine--jack. Apparently partner miscarded on the first club trick, though that doesn't change anything. Declarer now plays a low spade from dummy. As planned, I hop with the queen and cash the club queen. Making five.


NORTH
Jacinta
♠ A 7 3
A 7 2
A 6
♣ A K 6 4 2


WEST
Jack
♠ K 10 8 4
10 6 4
7 5 4 2
♣ J 10


EAST
Phillip
♠ Q 6 5
9
Q J 9 8 3
♣ Q 8 7 3


SOUTH
Sophie
♠ J 9 2
K Q J 8 5 3
K 10
♣ 9 5


Declarer had jack-nine of spades. I didn't think of that. I should have ducked. Then we would see the kind of stuff partner is made of. Declarer would play the nine, and partner must win the trick with the king, not the ten. When he returns the eight, it would take an awfully suspicious declarer not to duck. I apologize, partner, for not giving you the chance to find that play. (Between you and me, there isn't a chance in the world partner would have found it. He should be grateful I didn't duck. I saved him from embarrassing himself.)

As expected, our teammates are in six hearts, making six, so we pick up 11 imps.

Table 1: -460
Table 2: +980

Result on Board 2: +11 imps
Total: +8 imps