Sunday, March 31, 2024

Free Weekly Instant Tournament - March 15 - Board 2

Board 2
Our side vulnerable

♠ K   J 10 9 8 4   10 3  ♣ A K Q 8 3  

RHO passes. I open with one heart. Partner responds one spade. I rebid two clubs. Partner bid two diamonds, artificial and game-forcing. I bid three clubs, and partner leaps to four hearts.

The tooltip says this shows heart support and 13 to 14 total points. That makes no sense. It's classic Eastern Science Fiction. 

You need some way to show slam interest in hearts. If three hearts promised extra values, then you could play fast arrival: Bid three hearts with slam interest and four hearts with a minimum. But three hearts can't promise extra values, because you haven't established the strain yet. If you have heart support but are willing to play three notrump if partner suggests it, you need to be able to bid three hearts even with a minimum. Since three hearts can't promise extras, playing four hearts as fast arrival would leave you with no way to show slam interest below game. In general, fast arrival should apply only when strain has already been established. In a game-forcing auction, jump preferences, like jumps in notrump, should show about a king more than you have already promised.

One might argue that this auction should be an exception. After opener has shown five-five in hearts and clubs, it's wildly unlikely he will suggest three notrump over three hearts. But making exceptions is dangerous. The rule as stated above makes sense most of the time. A partnership will be less apt to have an accident if it applies such rules consistently.

With this hand, I have a pass whether four hearts shows extras or not. I pass, and LHO leads the diamond ace.


NORTH
Robot
♠ A Q 10 3 2
K 3 2
K J
♣ 7 4 2






SOUTH
Phillip
♠ K
J 10 9 8 4
10 3
♣ A K Q 8 3


West North East South
Robot Robot Robot Phillip
Pass 1
Pass 1 ♠ Pass 2 ♣
Pass 2 Pass 3 ♣
Pass 4 (All pass)

East encourages with the eight. West continues with the diamond nine, and East follows with the six.

Whatever heart losers I have are unavoidable. But I might be able to do something about my club loser if clubs are four-one. I could cash the spade king, then, if I reach dummy with the heart king, pitch my clubs on the ace and queen of spades. That runs the risk of having my spade queen ruffed when clubs were three-two all along.

A priori, a five-two break is less likely than a four-one break. But I have reason to believe clubs are splitting. West might have led a singleton club. And, if he has the heart ace, he might have shifted from at least some four-card holdings, since he would know from the auction that his partner had a singleton. Given that inference, I'm inclined to play for clubs to break rather than risk a spade ruff.

Of course the inference isn't 100%. So if I can cash spades safely, I'd prefer to do that. Can I? Let's assume trumps break. To cash spades safely, I would need to reach dummy with the heart king after trumps are drawn. If West has the heart queen, I can't manage that. He can cover the first or second heart hand and force to me play the king early. If West has the heart ace, however, I can. If he takes the ace early, I can win the third round of hearts with dummy's king. If he has ace third and ducks twice, I can win the second round with the king, and the only heart outstanding will be the ace, which I don't mind his ruffing with.

I play a spade to the king. East plays the six; West, the four. Should I lead the heart jack or a lower heart? I don't see that it matters. I choose the jack as a discovery play. If West has the queen, I'd like to see what holding he does or doesn't cover from for future reference.

West covers my jack with the queen. I play dummy's king, and East wins with the ace. OK. Cashing spades is out. I have to rely on a club break.

East shifts to the club six. I take the ace, and West follows with the five. Everyone follows to the heart ten. This is the position with one trump outstanding:


NORTH
Robot
♠ A Q 10 3
3
--
♣ 7 4






SOUTH
Phillip
♠ --
9 8 4
--
♣ K Q 8 3

If clubs break, I have the rest. What if they don't break? If the hand with club singleton is out of hearts I can cash two clubs and ruff one in dummy to make five. It costs nothing to try. If the club king gets ruffed, I still make four. I'm simply trading a club loser for a trump loser. 

I lead the club king. Everyone follows, and I claim. Making five.


NORTH
Robot
♠ A Q 10 3 2
K 3 2
K J
♣ 7 4 2


WEST
Robot
♠ J 9 8 5 4
Q 5
A 9 7
♣ J 9 5


EAST
Robot
♠ 7 6
A 7 6
Q 8 6 5 4 2
♣ 10 6


SOUTH
Phillip
♠ K
J 10 9 8 4
10 3
♣ A K Q 8 3

Plus 650 is worth 61%.

West covered with queen doubleton, apparently worried I would lead the jack from something like J107xx. I'll keep that in mind.

Some declarers led the heart eight rather than the jack and found themselves with an interesting problem. West played low, and East took the ace and switched to the club six. Declarer won and played a heart to the queen and king, reaching essentially the same position as above except that the lead is in dummy. Now what?

If East has the last trump, declarer can guarantee his contract by playing spades. If East doesn't ruff, he gets his clubs away. If East does ruff, he overruffs and has a trump in dummy to ruff a club with. The only time cashing spades fails is if West is short in spades and has the last trump. On the other hand, the only time you need to cash spades is if clubs aren't breaking, and it seems likely they are. If East had shifted to the ten of clubs, it would be a different matter. But when he leads the six, how can clubs be four-one? Did West really chose to lead the diamond ace holding either a stiff club or J1095?

Most declarers who reached this position played on spades. I think I would have played for clubs to break. Since both lines work, it's hard to say who's right. Although perhaps I did make a mistake in leading the heart jack rather than a lower one. Ensuring West doesn't play the queen on the first round does give you extra options, even if you decide not to take them.

Sunday, March 24, 2024

Free Weekly Instant Tournament - March 15 - Board 1

Board 1
Neither side vulnerable

♠ K Q 2   J 7   A J 10 7 5  ♣ K Q 5  

RHO opens with one spade. I overcall with one notrump. Partner bids two clubs, Stayman. I rebid two diamonds and partner invites game with two notrump. With 16 HCP and a good five-card suit, I have an obvious acceptance. I bid three notrump, and West leads the spade ten.


NORTH
Robot
♠ 8 7 6
A K 9
8 2
♣ J 9 7 6 2






SOUTH
Phillip
♠ K Q 2
J 7
A J 10 7 5
♣ K Q 5


West North East South
Robot Robot Robot Phillip
Pass 1 ♠ 1 NT
Pass 2 ♣ Pass 2
Pass 2 NT Pass 3 NT
(All pass)

If clubs come home, I have nine tricks. Can I do better? If East has all the high cards (the queen-ten of hearts and the king-queen of diamonds), I can triple squeeze him. After I cash my black-suit tricks, I'll be down to


NORTH
Robot
♠ --
A K 9
8 2
♣ --






SOUTH
Phillip
♠ --
J 7
A J 10
♣ --

To keep three hearts and the king-queen of diamonds, East must throw all his good spades away. I can then duck a diamond to take a tenth trick. I have no reason to believe East has all the high cards, but I'll keep this ending in mind as a possibility.

I play a low spade from dummy, and East encourages with the five. East can be pretty sure I have the spade king, but he may be less sure about the queen. So I win with king, the card I'm known to hold.

I lead the king of clubs--three--deuce--ace. East cashes the spade ace, and West drops the nine. East continues with the spade four, and West discards the heart deuce. This is probably from a five-card heart suit.

Here is the current position:


NORTH
Robot
♠ --
A K 9
8 2
♣ J 9 7 6






SOUTH
Phillip
♠ --
J 7
A J 10 7 5
♣ Q 5

West is out of spades. So I can develop a diamond trick if he has a diamond honor and I can arrange to lose a diamond to him. I can cash the club queen, lead a club to dummy, and play a diamond. No, I can't. East simply puts up his diamond honor, forcing me to take the ace, and I have no way back to my hand after I drive the other honor. 

If I'm going to develop a diamond trick, I have to do so while I still have a club entry to my hand: Heart to dummy immediately. Diamond. East rises with his honor. I win with the ace and play the diamond jack. That works if the diamond honors are split. But if East has both honors, I go down. It's not all that unlikely East has both diamond honors. In fact, there is a slight inference that he does. Clearing the spades suggests he has an entry. So I like playing for the triple squeeze better.

Maybe I can improve my chances for the squeeze, though. Suppose I lead the heart jack. If West has the queen, he will probably cover. Now all I need for the squeeze to work is for East to have both diamond honors and the heart ten. If West doesn't cover the jack, no harm done. I'll go up with the ace and play East for everything.

I lead the heart jack. West covers. Great! I take the ace, and East plays the four. 

Let's take stock now. How likely is the squeeze to work? If East is balanced, he needs at least the diamond king to come up to 12 HCP. Both diamond honors would bring him up to 14. Either is possible, so the squeeze isn't necessarily working even if East has the heart ten. But I now have another option. I can simply finesse West for the heart ten. I'll run the clubs first, then decide which line to take.

I lead a club to the queen. East plays the ten; West, the eight. Now a club back to dummy. West discards the diamond six. If I'm right about his holding five hearts, that gives West 2-5-4-2 and East 5-3-2-3. The doubleton diamond does not bode well for East's having both diamond honors. There are four ways for him to hold Kx but only one way to hold KQ. The diamond queen is four to one to be on my left.

I cash the nine of clubs, and East pitches the heart five. A good player might be stiffing his heart ten here. But I don't think my robot opponent would do that. I suspect the heart ten is onside. I pitch the five of diamonds. West pitches the heart six.

On dummy's last club, East pitches the four of diamonds. West, the nine of diamonds. If I've read the deal correctly, we are down to this position:


NORTH
Robot
♠ --
 K 9
8 2
♣ --


WEST
Robot
♠ --
 10 x
Q x
♣ --


EAST
Robot
♠ J x
x
K
♣ --

SOUTH
Phillip
♠ --
 7
A J 10
♣ --

I lead a diamond. East plays the king. I take the ace and lead a heart to the nine. It holds. Making four.


NORTH
Robot
♠ 8 7 6
A K 9
8 2
♣ J 9 7 6 2


WEST
Robot
♠ 10 9
Q 10 6 3 2
Q 9 6 3
♣ 8 3


EAST
Robot
♠ A J 5 4 3
8 5 4
K 4
♣ A 10 4


SOUTH
Phillip
♠ K Q 2
J 7
A J 10 7 5
♣ K Q 5

Plus 430 is worth 86%. I thought it would be better, but quite a few players made four, which surprises me. It takes a bit of foresight to make four, and the field doesn't often have foresight.

It turns out at most tables, East, after taking the club ace, cashed the spade ace then shifted to the king of diamonds, making it easy to make four. Why was the defense so soft at the other tables?

Most other declarers won trick one with the spade queen. It shouldn't matter. Either way declarer knows I have the remaining honor after he cashes the ace, since West would unblock from honor-ten-nine. But robots don't draws inferences from the play. So my East must have thought his partner had the queen left. At the other tables, East thought it unlikely his partner had the king left, since that meant South had overcalled one notrump with queen doubleton of spades. Looking at no entries, they gave up on spades and shifted to the diamond king.

As declarer, I almost always try to play the card that is most apt to keep the defense in the dark. But that's lazy of me. Sometimes you don't want to keep the defense in the dark. Here, I would welcome any shift, so I should be advertising my spade strength, not trying to hide it. Winning with the spade queen at trick one is the correct play. By playing routinely, I made the deal harder for myself than it should have been.

Sunday, March 17, 2024

Free Weekly Instant Tournament - January 18 - Board 8

Board 8
Neither side vulnerable

♠ --   A K Q 8   A J 10 8 7 3  ♣ A J 6  

The auction begins one spade--pass--two spades to me.

I have two options. I can double, intending to follow with some number of diamonds if partner can't bid hearts. Or I can bid three diamonds, intending to double on the next round. As a general rule, you should time your auctions so that they end with double. That way, you aren't committed to offense. If you bid then double, partner can pass if the hand is a misfit. If you double then bid, partner doesn't have the option of defending. 

With this hand, however, there are problems with the bid-then-double approach. For one thing, if I bid three diamonds, I can't be sure of getting another chance to act. I may buy it in three diamonds cold for four hearts. For another, even if I do get a chance to double on the next round, we may still miss a heart fit. Partner may be worried I have only three hearts and may elect to support diamonds rather than bid a weak four-card heart suit.

I do have quite a good hand for offense: four losers and a good suit, so I'm not too worried about taking away partner's option to defend. I'll go for the double-then-bid approach.

I double, LHO passes, partner bids three clubs, and RHO bids three spades. I bid four diamonds as planned. To my surprise, LHO doubles. Everyone passes. and LHO leads the ten of hearts.


NORTH
Robot
♠ Q J 8 4
9 4
6 5 2
♣ 10 9 3 2






SOUTH
Phillip
♠ --
A K Q 8
A J 10 8 7 3
♣ A J 6


West North East South
Robot Robot Robot Phillip
1 ♠ Pass 2 ♠ Double
Pass 3 ♣ 3 ♠ 4
Double (All pass)

LHO probably has all the outstanding diamonds for his double. And RHO has four spades for his three-spade bid. So LHO is either 5-2-4-2 or 5-1-4-3. He probably would have led a spade from ace-king, so I'll assume East has a spade honor. With his diamond void, East doesn't need any other high cards. So West could have one or both club honors.

With the bad trump break, I have five losers, not four: three diamonds and two clubs. So I can't see making this. But if I can get West to break clubs for me, I'll avoid one of those losers and get out for down one.

I unblock the nine of hearts from dummy. East plays the deuce, and I win with the queen.

I need to ruff a heart in dummy, so I cash the heart ace. If West ruffs, I don't mind. It's with a natural trump trick. He doesn't ruff. He follows with the heart seven; East, with the five. So West is 5-2-4-2.

Now a low heart. West declines to ruff in front of dummy. He pitches the spade deuce instead. I ruff in dummy and lead a diamond. East shows out as expected, pitching the spade seven. I play the ten, losing the the queen. Here is the presumed position:


NORTH
Robot
♠ Q J 8 4
--
6
♣ 10 9 3 2


WEST
Robot
♠ H x x x
--
K 9 4
♣ ? ?


EAST
Robot
♠ H x x
x x
--
♣ ? ? ? ?


SOUTH
Phillip
♠ --
 K
A J 8 7 3
♣ A J 6

West can't afford to play a diamond or a club. So he perforce switches to a small spade, the three. I play the jack from dummy. East covers with the king, and I ruff. Now the seven of diamonds endplays West again. He wins with the nine as East discards the eight of clubs. We've reached this position:


NORTH
Robot
♠ Q 8 4
--
 --
♣ 10 9 3 2


WEST
Robot
♠ A x x
--
K 4
♣ ? ?


EAST
Robot
♠  x x
x x
--
♣ ? ? ?


SOUTH
Phillip
♠ --
 K
A J 8
♣ A J 6

Again, West can't afford a trump or a club, so he exits with the ace of spades. I ruff. Now ace and jack of diamonds endplays him a third time:


NORTH
Robot
♠ Q 8
--
 --
♣ 10 9


WEST
Robot
♠ x x
--
--
♣ ? ?


EAST
Robot
♠  x
--
--
♣ ? ? ?


SOUTH
Phillip
♠ --
 K
--
♣ A J 6

West must lead either a club, giving me a club trick, or a spade, giving me dummy's spade queen. He chooses a spade. I pitch one of my club losers on the spade queen and finish down one.


NORTH
Robot
♠ Q J 8 4
9 4
6 5 2
♣ 10 9 3 2


WEST
Robot
♠ A 9 5 3 2
10 7
K Q 9 4
♣ K 7


EAST
Robot
♠ K 10 7 6
J 6 5 3 2
--
♣ Q 8 5 4


SOUTH
Phillip
♠ --
A K Q 8
A J 10 8 7 3
♣ A J 6

Most players in four diamonds doubled went down two. Some got higher. Minus 100 is worth 68%.

The reason this result isn't better is that some doubled two spades, then doubled again over three spades and played it there. That worked out fine this time, but it strikes me as an awfully dangerous way to live. We can argue about whether it's right to bid diamonds now or later, but not bidding them at all makes no sense to me. How can you expect partner to make an intelligent play-or-defend decision when you have good six-card suit you haven't told him about?

Be sure to play this week's Free Weekly Instant Tournament by Thursday. We can start comparing results next week.

Sunday, March 10, 2024

Free Weekly Instant Tournament - January 18 - Board 7

Board 7
Both sides vulnerable

♠ A Q 4   9 6 3   10 8 6 3  ♣ A Q 5  

I open with one diamond in first seat. Partner bids one heart and I rebid one notrump. Partner raises to two. Even though I have only 12 HCP, I do have three honor tricks, which is a maximum by some standards. Still, 4-3-3-3 is a minus, and I have no fitting card in partner's suit. So I suppose I should decline the invitation. I pass, and LHO leads the spade eight.


NORTH
Robot
♠ 9 5 3
K Q J 2
A 5
♣ J 10 9 8






SOUTH
Phillip
♠ A Q 4
9 6 3
10 8 6 3
♣ A Q 5


West North East South
Robot Robot Robot Phillip
1
Pass 1 Pass 1 NT
Pass 2 NT (All pass)

I can take three clubs, two spades, two hearts, and a diamond. Eight tricks unless the opponents can take six first. The spade eight looks like top of a doubleton. So I must duck the first spade to maximize the chance that I can keep the opponents from establishing and running the suit. The diamond suit does represent a danger. But that's the suit I opened, so it may be hard for the opponents to attack that suit.

I play low from dummy, East plays the king, and I duck. East continues with the six of spades. I win with the queen (the card West knows I hold) and West drops the jack. The jack? Apparently West led low from jack-ten-eight rather than top of his sequence.

I play the six of hearts, concealing the three, to dummy's king. West plays the four; East, the seven. If the club king is onside, I've made this. I can take three clubs and establish another heart for my eighth trick. What if the club king is offside?

Let's say I ride the jack of clubs and it loses to the king. West switches to a diamond. I duck one round and win the second round. Since clubs are blocked, I can cash only two club tricks, reaching this position:


NORTH
Robot
♠ 9
 Q J 2
 --
♣ 8






SOUTH
Phillip
♠ A
9 3
10 8
♣ --

I need three of the last five tricks. I lead a heart. The opponents win the heart ace, cash whatever diamonds they can, and I have the rest. If they can take only one more diamond trick, I've made my contract. If they can take two, I'm down one. If they can take three, I'm down two.

If I don't block the clubs, I can cash three club tricks, ensuring I can't go down more than one. Maybe floating the jack of clubs is a bad idea.

What happens if I lead a club to the queen? If the king is onside, it makes no difference. I can repeat the finesse later. If the queen loses to the king, I'm in good shape. The clubs are no longer blocked. I either make or go down one depending on what happens in diamonds. 

The problem comes if the king is offside and they duck. If I assume the king is onside, then I might find myself in some precarious predicament later on. But I don't think my robot opponent is up to ducking. If the club queen holds, I think I can safely assume East has the king. 

I wouldn't do this against opponents I trust. But I decide to play a club to the queen. East plays the deuce; West, the king. See? I told you he wouldn't duck.

West shifts to the four of diamonds. I duck in dummy. East takes the king, and I play the six to disguise whether West's four is low or high. East continues with the nine of diamonds--three--seven--ace. It appears West had QJ74 and East had K92.

If so I'm down. The defense has taken three tricks and can take three more when they get in. Maybe West started with five diamonds, QJ742, and East has the heart ace. That seems unlikely. Why would the defense set up the suit in the hand that has no entry? East probably has the long spade. If he had the heart ace and only one more diamond, he would have shifted back to spades after winning the diamond king.

Still, it doesn't hurt to try. If that's the layout, I don't need to knock out the heart ace early. I can cash all my tricks, reaching this position:


NORTH
Robot
♠ --
 Q J 2
--
♣ --






SOUTH
Phillip
♠ --
9
10 8
♣ --

I need one more trick. If East has the heart ace and is out of diamonds, I can play a heart to the queen. East can win and cash a long spade, but he will have to concede a heart trick to dummy at the end.

I play a club to the ace and a club back to dummy. Both opponents follow. I cash the club ten, and East pitches the spade seven. That confirms my suspicion that the heart ace is on my left. East wouldn't be pitching his spade winner if he held the heart ace.

The ten-eight of diamonds may prove useful if I've misread the position. But my hearts are worthless. So I pitch the three of hearts. West pitches the heart eight.

I play a spade to my ace, reaching the above position. Both opponents follow. I exit with a heart. To my surprise, it's East, not West, who wins the trick. East then cashes the diamond jack and concedes a heart to dummy. Making two.


NORTH
Robot
♠ 9 5 3
K Q J 2
A 5
♣ J 10 9 8


WEST
Robot
♠ J 10 8
10 8 4
Q 7 4 2
♣ K 7 6


EAST
Robot
♠ K 7 6 2
A 7 5
K J 9
♣ 4 3 2


SOUTH
Phillip
♠ A Q 4
9 6 3
10 8 6 3
♣ A Q 5

Plus 120 is worth 75%. The median result was passing it out. I briefly considered accepting partner's game try, and some thought this hand wasn't worth opening?

West played four, then seven from Q742 and the diamonds were blocked all along. It turns out I gave the defense a chance to beat me. Here was the position when I cashed the last club:


NORTH
Robot
♠ 9
 Q J 2
--
♣ 10


WEST
Robot
♠ 10
10 8
Q 2
♣ --


EAST
Robot
♠ 7 2
A 5
 J 
♣ --


SOUTH
Phillip
♠ A
9 3
10 8
♣ --

If I knock out the heart ace at this point, I take eight tricks thanks to the diamond blockage. When, instead, I cashed the last club, all East had to do to beat me was to pitch a loser instead of a winner. If he pitches a heart, my hand is squeezed. To hold my diamond stopper, I have to let go of a heart and now have no way to cash the heart once I establish it.

I didn't visualize the diamond blockage. I was mesmerized by the defense's carding and assumed West had the queen-jack or queen-jack-deuce of diamonds left. I should have gotten the end position right. I lucked out that East defended poorly.

This deal is a good example of how humans and robots make different kinds of mistakes. My mistake was making an assumption about the layout and forgetting that my assumption might be wrong. That's a very human mistake and a difficult one to avoid.

Most of what we think about when we play a deal is reconstructing the opponents' hands from clues. Sometimes our deductions are virtually certain; sometimes they are more speculative. It's easy to forget which ones are speculative and back off those assumptions when necessary. But robots don't have that problem. They don't play detective in the first place. So a robot would not have a blind spot in the above position and would easily find the heart play.

East's mistake was assuming I knew what I was doing. That's a very robot mistake. He could see that, if I played correctly, it made no difference whether he pitched a spade or a heart, so he chose one at random. Giving your opponent a losing option when he has a choice is something a robot doesn't even "think" about. A human, on the other hand, would see that the long spade might come in handy but the low heart could not and would be unlikely to make this mistake. 

Sunday, March 3, 2024

Free Weekly Instant Tournament - January 18 - Board 6

Board 6
Opponents vulnerable

♠ Q 9 2   8 7 2   A K J 9  ♣ K 5 4  

RHO passes. I open with one diamond. Partner responds one spade, and I rebid one notrump. LHO chimes in with two clubs.

The tooltip confirms what I suspect: LHO has no idea what this auction means. He thinks it shows five or more clubs and ten or more HCP. He probably has a hand where he wanted to overcall on the previous round but he considered his hand flawed in some way. Possibly the suit quality is below standard.

This kind of bidding makes no sense at all. If you're going to make an overcall you consider unsound, why let the opponents exchange information first? Not only is it more dangerous to bid now than it was on the first round, it is also less productive. An immediate two club overcall would have taken the one level away from us. Passing allowed responder to get his suit into the auction cheaply and allowed me to limit my hand with a one-notrump rebid.

That's not to say this auction doesn't exist. But it should show at least a sound opening bid with primary diamonds and secondary clubs. Clubs might even be a four-card suit. Just because your opponent opened with one diamond doesn't mean diamonds isn't your side's best strain. And it can be hard to get there without the agreement that unsolicited belated actions show primary length in opener's suit. It is certainly a more useful agreement than playing that such actions announce to the opponents that you are making a questionable call.

Over two clubs, partner bids two spades and buys it. RHO leads the club queen.


NORTH
Phillip
♠ Q 9 2
8 7 2
A K J 9
♣ K 5 4






SOUTH
Robot
♠ K J 10 7 4
10 4 3
Q 10 7 5
♣ A


West North East South
Robot Phillip Robot Robot
Pass 1 Pass 1 ♠
Pass 1 NT 2 ♣ 2 ♠
(All pass)

Note that an immediate two club overcall would have worked much better. Partner would bid two spades, which I would raise to three. With his diamond fit, partner would probably decide to bid on and we would reach a hopeless game.

East plays the club three at trick one, and I win with the ace. I could play a diamond to dummy and take a heart pitch on the the club king. But the opening lead suggests East has seven clubs, and West's silence suggests East has at least two hearts as well. So the chance East has a singleton diamond is quite high. If he does, breaking diamonds may enable him to get two diamond ruffs when the defense takes the spade ace. I'll be trading one heart loser for two diamonds losers, which is not a good trade. On a bad day, East might even be void in diamonds. Then I could go down trying to take my pitch.

What if I play a spade instead? If West has the ace and ducks, I'm in dummy to take my pitch. Will he duck? Almost surely. He's not looking at my hand and doesn't know my problem. From his point of view, I might be intending to insert the spade nine, losing to East's jack. Or hopping might drop his partner's stiff king.

And even if the spade ace is offside, a spade lead doesn't necessarily cost. East may ask himself why I seemed uninterested in taking a pitch on the club king. He might conclude that his partner is the one with the singleton and might try to give West a club ruff rather than cash hearts. 

Since a spade will surely work if West has the spade ace and might work even if he doesn't, it looks like a better play than opening myself up to diamond ruffs.

I play a spade--eight--nine--ace. Will East play a club now? No. He cashes the heart king, then plays the queen. West overtakes with the ace to cash to jack. East doesn't let him cash it, however. He makes the good play of ruffing his partner's trick to lead a club. I ruff with the ten and claim. Making three.


NORTH
Phillip
♠ Q 9 2
8 7 2
A K J 9
♣ K 5 4


WEST
Robot
♠ 8 6 3
A J 9 6 5
8 6 4
♣ Q 2


EAST
Robot
♠ A 5
K Q
3 2
♣ J 10 9 8 7 6 3


SOUTH
Robot
♠ K J 10 7 4
10 4 3
Q 10 7 5
♣ A

Plus 140 is worth 46%. My first below average board in this set. East has a doubleton diamond, so I could have made four by crossing with a diamond to take my pitch, as some did. I stand by my choice, however. I think a spade at trick two is the better play, even though it was wrong this time.