Some double dummy analysis

by Jonathan Mestel

Last Newsletter you were asked to analyse the following two hands on a double dummy basis. They weren't easy:

Problem 1
S A94
H 1094
D J95
C A863
5c by South
S Q75
H AKJ63
D Q104
C J7
N
W         E
S
S K108
H Q8752
D 72
C 954
S J632
H -
D AK863
C KQ102

What lead sets the contract?

Declarer has two possible routes to an 11th trick to accompany 4 diamonds, 5 trumps and sA. He can either ruff a 2nd heart in hand, or establish the 13th spade. The former plan requires entries to dummy, but the latter needs a late entry to hand. The key to the defence is to force declarer in hearts at just the right time.

It was shown last Newsletter that a dummy reversal is successful on a heart lead - declarer ruffs and leads a small diamond, establishing dJ as a second entry along with sA, enabling him to ruff a 2nd heart, cash cKQ and enter dummy to draw cA.

So what other leads are possible? A diamond is immediately fatal. sQ enables declarer to establish sJ, while a small spade to partner's sK leaves partner unable to continue the suit. If he leads a heart the dummy reversal works as before, while if the defence play to dQ and continue diamonds declarer can draw trumps, cash sA, throw a spade on the diamonds and ruff the spades good, still having a heart ruff as an entry to hand. If East switches to a trump at trick 2, declarer wins in hand and leads a small diamond, and again the defence have the choice of forcing with a heart, permitting the dummy reversal, or exiting passively enabling the spades to be ruffed out.

So we are left with a trump lead. If c7 is led, dummy covers with c8, West must play c9 to deny dummy a free entry (else the play continues heart ruff, small diamond etc), but now declarer can later afford to overtake a club honour as another entry, as dummy's c6 suffices to draw the 3rd round of trumps.

Only the lead of cJ defeats the contract! Declarer wins in hand, and if he ducks a diamond, the defence continue diamonds. Declarer now ducks a spade to East, but now a heart force kills the late entry to the 13th spade. If South leads a spade at trick 2, the defence wins and continues spades.

I found this hand very hard to analyse.

CDSH CDSH CDSH

Secondly, you were defending 4s as East below:

Problem 2
S 4
H 5
D J543
C AQ105432
4s by South
S J32
H Q42
D 98762
C 98
N
W         E
S
S 98
H AK8763
D AK
C J76
S AKQ10765
H J109
D Q10
C K

The bidding was

   South       West       North       East   
1s P 1NT 2h
4s P P P

West leads h2 to your king. How can you set the contract?

It looks natural to return a trump, but it's not hard to see what will happen. Declarer plays off all 7 trumps and we are forced to keep cJxx else he can overtake cK. If we come down to two red aces declarer cashes cK and throws us in with a red card, and we have to give dummy the last two tricks. In practice, we would throw hA keeping a low heart, hoping partner has hQ10, but of course double dummy we know he hasn't.

So suppose we force dummy with hA at trick 2? Declarer must immediately play cAQ, throwing a diamond and then a third club throwing another diamond. If West throws hQ on this trick, trying for a trump promotion, it is at the cost of a natural heart trick. So instead, we must lead a low heart at trick 2. This is the position after declarer cashes cAQ:

N to play
S -
H -
D J543
C 105432
4s by South
S J32
H 4
D 98762
C -
N
W         E
S
S 98
H A876
D AK
C J
S AKQ10765
H J
D Q
C -

If a diamond is led, East wins and plays hA and another heart. Or on a third round of clubs, if South throws a loser West throws his last heart. East now leads hA and if this wins a 3rd heart. West scores sJ via a trump promotion.

Note that we cannot afford to cash even one diamond before leading a heart, else in the diagram, declarer can get back to hand with a diamond ruff.

It might be possible to work all this out at the table, but I'd be very pleased with myself if I did.

CDSH CDSH CDSH

So while we're in an analytic mood let's consider the hand from the front cover. The auction is something on the lines of

   South       West       North       East   
1h P 1s P
2c P 2d P
3NT P 4h P
5c P 5d P
5h P P X
P P P
What to lead?
S AKJ65
H Q43
D A876
C 5
5hX by S
S 742
H -
D KJ1092
C 109873
N
W         E
S
S Q1098
H KJ1082
D 5
C Q64
S 3
H A9765
D Q43
C AKJ2

What's the best lead? Looking at all four hands, it's natural to choose a spade, but see what happens. sAK are cashed, pitching a diamond, followed by a spade ruff, cAK throwing a diamond and a club ruff and a spade ruff. South is now on lead in the following position:

S to play
S J
H Q4
D A87
C -
5hX by South
S -
H -
D KJ10
C 1098
N
W         E
S
S -
H KJ1082
D 5
C -
S -
H A97
D Q4
C J

Needing 4 tricks, South crosses to table with dA and leads sJ. If h9 is allowed to score South exits with a loser and makes hAQ by means of the endplay. So East does best to ruff with h10, but South discards dQ. East exits with h2 and South wins with hQ (NOT h9!) and leads a diamond. East must ruff high and South discards, making 11 tricks.

So what is the best lead? You guessed it - a diamond sets the contract, by denying declarer the late entry to table. I did in fact lead a diamond against 4hX at the table, and declarer misplayed the hand to go one off. Afterwards, I apologised to partner for my poor choice, not realising I'd found the only lead to prevent the overtrick! If only partner would stop doubling with such feeble trumps.

CDSH CDSH CDSH

An unlikely entry - Anon

We've all defended hands where dummy is packed with winners but is completely entryless; then out of the blue, we're forced to give it the last trick, usually to declarer's surprise and pleasure. In a recent Cambs-Suffolk ECL match I was stunned by the most unlikely entry I have ever seen. See if you can predict which of North's cards will provide an entry at trick 9...

N/S Vul
S J97642
H J85
D -
C J1096
Dealer East
S A853
H 964
D 62
C AQ82
N
W         E
S
S Q
H K102
D KQ10953
C 754
S K10
H AQ73
D AJ874
C K3
   East       South       West       North   
P 1d P 1s
P 2h P 2s
P 2NT all pass

I led c2, which dummy won with c9, partner showing an odd number, marking declarer with a 2-4-5-2 shape. Chris Chambers of Suffolk now led a low spade to the Q and K which I ducked. I won the spade continuation and cashed cAQ, declarer throwing a diamond. I now led h6 to show partner I held no honours in the suit. Dummy covered with the h8, partner put in the 10 and declarer won with hQ and led h7. I covered with h9, dummy played the hJ and partner won with hK and switched to dK. Declarer won with dA, grinned widely, and led the h3 to dummy's h5 while we followed with the 4 and 2 amid general hilarity. Dummy was now high!!

I'm sure I could have defended better, but in some ways I'm glad it happened the way it did. Declarer afterwards commented that this had fulfilled one of his lifelong ambitions.