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# Small Slam Down with Grand Cold

by Richard Pavlicek

Today’s deal occurred in the first round of the Vanderbilt Knockout Teams, held last month in Buffalo, N.Y. As West I was a bystander in the bidding as our opponents bid to six diamonds — an excellent contract, but placed in jeopardy when I chose to lead a spade: queen, king, ace.

 6 SouthNone Vul Q 3 A K J Q 4 K Q 9 6 5 4 WestPassPassPassPassPass North2 2 4 6 EastPassPassPassPass SOUTH1 2 3 4 Pass 9 6 4 9 8 6 5 4 3 2 5 8 2 K J 8 5 2 Q 10 K 8 3 10 7 3 Lead: 4 A 10 7 7 A J 10 9 7 6 2 A J

As readily seen, declarer has 17 top tricks — seven diamonds (with the finesse), six clubs, three hearts (with the queen falling) and one spade — which is four more than he could ever need. Then what’s the problem? Even a beginner could win 12 of those tricks!

Not so fast. Declarer is not privy to all four hands; he must choose the line of play which offers the best chance of success based on the information he has. Several reasonable plays exist: (1) Cross to dummy with a heart and take the diamond finesse. (2) Cash the diamond ace then, if the king does not fall, take the heart finesse. (3) Cash the diamond ace, two top hearts, then run the clubs (except lead the heart jack first when East’s queen drops).

Which is best? If the contract were seven diamonds, Line 1 is a standout. With nine diamonds, the finesse is by far the best chance of avoiding a loser in that suit. But the contract is only six diamonds. Let’s calculate the chances.

Line 1 is basically 50-50 — if East has the diamond king you succeed; otherwise you fail. Line 2 is about 56 percent — it works if the diamond king is singleton (12.5 percent) or if West has the heart queen (half of the remaining 87.5 percent). Line 3 is a complex analysis, but intuitively it must be under 50 percent, so I’ll write it off.

The bridge gods were cruel. Line 1 or 3 would work; but the proper play, Line 2, fails — in fact declarer was defeated two tricks. This brings out the curious fact that a good player would make seven diamonds, but go down in six.

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