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Enabling the Error

Sometimes a contract cannot be made without a defensive error. In such a case, you still get credit if you created the opportunity for the error to occur.

Playing pairs, I am the dealer at favorable vulnerability, and I hold:

S762 / HKJ9865 / DJ / CAKQ

I open 1H and West overcalls 2D. Partner bids 2H and East passes.

I don’t have a whopper in terms of strength, but I have extra length in hearts and partner did make a free bid. I think I am worth an invitation, so I bid 3H. Partner bids 4H and all pass. After some thought, West leads the H4, and partner comes down with a hand that makes the contract almost cold, but not quite:

S Q J 8 5
H A Q 7 3
D 10 7
C 8 7 6

S 7 6 2
H K J 9 8 6 5
D J
C A K Q

       
W
N
E
S
1H
2D
2H
P
3H
P
4H
AP
 

I win the HA as East plays the 10, and I draw the last trump with a small heart to the King, East discarding an encouraging diamond. I have to lose one diamond and two spades, so the whole hand comes down to avoiding a third spade loser.

If I lead spades toward dummy’s SQJ twice, I will score the Queen or Jack provided West holds at least one of the missing spade honors, which seems likely. A priori, it’s a 75% chance. It comes down to 66%, because West would have led a top spade if he had SAK, but then it gets somewhat better than that, because West put in that vulnerable 2D overcall. It's a strong chance, anyway.

So it looks like an easy hand, but who knows, maybe West is weak on points but has extra diamond length.

As I am thinking of a way to improve the chances, it occurs to me that it’s a pity the defense didn’t open with a diamond and continue a diamond, because then I would make the contract almost automatically. After ruffing the second diamond, I would just draw trump and cash the clubs. Then I lead a spade to the board, and although East probably wins, she is endplayed: any return costs the defense a trick.

Unfortunately, at this point, I can’t legitimately engineer such an endplay, because I'd have to lose a diamond before attacking spades, and West could get in and lead a spade over to East, who could get out safely with a diamond. Then I'd have to lead spades again myself and I’d lose three spade tricks if East has the SAK.

But why not give it a try anyway! There’s no guarantee the defenders will make the right play. And even if they do, I’ll be no worse off than I am now, because I can always fall back on leading spades twice toward the dummy.

So I cash the three club tricks and lead the DJ. West takes the Queen and after a moment’s thought leads back a diamond! I happily ruff in hand and now I have the 100% play.

I lead a spade toward the board. East takes the King, thinks about it, realizes that she is endplayed, and finally leads back the thirteenth club. I sluff a spade, ruff in dummy, and claim for making four.

And what do you know, East had the SA after all! So the endplay was necessary to make the contract. We get 17 out of 23 matchpoints.

So even when a play requires a defensive error, it’s worth trying if it’s a free extra chance. The defenders can’t see all their cards and who knows what they will do.

The full deal was:

  S Q J 8 5
H A Q 7 3
D 10 7
C 8 7 6
 

S 10 4 3
H 4 2
D A Q 5 4 3
C J 4 2

S A K 9
H 10
D K 9 8 6 2
C 10 9 5 3
 

S 7 6 2
H K J 9 8 6 5
D J
C A K Q

 

[Bethesda Regional, Open Pairs, 7-9-2010]