Posted 2006-January-06, 07:42
Don't worry so much about making your contract at matchpoints. Instead try a little thoughtful analysis. To do this, evaluate the expected bidding and play at the other tables.
How common a contract is this, and did you get the normal defense so far.
For how common, you need to know if the field is likely to open multi 2D. If the answer is yes, then the contract is normal and the lead looks normal. So you are even with all the other pairs at the moment. If you are playing in an ACBL event or in the US for that matter, multi 2♦ is very rare, and the normal contract will be 4♠ by NORTH, and they will not find the heart ruff at trick two.
On the other hand, if EVERYONE plays multi-2♦ you are in exactly the same boat.
Let's handl the everyone plays multi-2D first. Here, I would take the spade finesse at matchpoints. This is a no-brainer. First the odds still favor WEST having the spade king (he had one heart to EAST four, giving him more "slots" to hold the king). Maybe someone will go run some math on this, but after WEST didn't ruff with the singleton king, nor follow with doubleton king on the first round of spades, a number of holdings have been eliminated (WEST with K or Kx of spades for instance... so the possible holding are WEST with Kxx, Kxxx, xxx, or xx). If West had xx, either play is fine. If West had xxx, playing the ACE is so much better, and if West had Kxxx only hook is right. But West with three spades, Kxx is much more likely (three times) than xxx. Mathematically, there simply is no excuse not to take the hook.
Now, turn the tables, to where north plays 4♠, this is a much more difficult problem. They found their heart ruff, so you might think you are behind. But what if they had lead a club at trick one? Now you would be at risk of losing a club, a spade, the heart ace and a heart ruff, and could go down. But that would require both black kings to be "wrong" (25%). Otherwise 4♠ would make five or six (six if both kings are right or they fail to find their heart ruff).
So now you have the option of playing to make, which wins if both black kings are offside (club lead, heart ace, heart ruff and slow spade king) or play for the overtrick which wins if the spade King is onsides. In the final analysis, I would play for the overtrick anyway. Evaluate the possible endings after WEST follows low to the second spade...
WEST SPADE holding
32 === ACE or QUEEN same
432 === ACE works wonders
K432 === QUEEN wins
K32 === QUEEN Wins
K42 === QUEEN wins
K43 === QUEEN wins
As you can see, playing the ACE clearly wins in only one holding while the queen works best in four of the six holdings and ties in one of the cases. Those are just too good odds not to go for it at matchpoints.
--Ben--
2♦:2NT
3♦:4♠
W leads ♥J to East's Ace and a heart ruff. W returns a diamond.