kenberg, on Apr 12 2007, 07:46 AM, said:
Here is a bit of speculative logic: Suppose that the king of hearts is wrong. Then rho always could have set you by leading another club. You would play the ten, he would ruff with the king, you would later use the Q of clubs to get your diamond pitch, but you would still have to lose a spade. Therefore, the contract could always have been beaten if the king of hearts is wrong, and you must decide if your right hand opponent has overlooked this or is just hoping you get it wrong.
This logic requires that LHO overcall 2
♣ on Ax and that RHO passed 4
♥ with KJxxx in
♣s... you got the bidding backwards
So, RHO couldn't play another
♣ because his Kx holding was already longer than the auction suggested: LHO overcalled on AJ9xx...
BTW, to the problem poster, at the table, we'd have additional info re the
♦K, since LHO would have given suit preference (usually) by his
♣ spot on trick 2. But, in any event, I am morally certain that the
♦ hook loses, so I am winning the A.
Now the only relevant factor is the trump suit.
We actually inferentially know quite a bit about the hand. Thus, it is highly probable that LHO holds Kxx or Qxx of
♠s... with both honours, even KQ tight, he might well have led that suit rather than the strange lead of the
♣ A from an otherwise potentially useful holding.
I think that his lead strengthens the likelihood of the stiff trump King, since he will have to be 3=1=4=5 for the auction to make sense: 4=1=3=5 is a double, 2=1=5=5 is an 2N and so on, and the
♣ lead from AJxxx suggests a lead problem.
So I have to decide whether the inference that he is worried about his lead because he has Kxx K KJxx AJxxx is enough to overcome the strong a priori odds in favour of the
♥ hook.
Ordinarily, one would say that the chances of a 3=0 break add to the odds favouring the finesse... its not just that Kx onside is far more likely than x onside... we have to add in Kxx onside. But here, Kxx is almost impossible since LHO would then be 4=0=4=5 and who bids 2
♣ on that shape?
This is an at-the-table situation for me, but, here in the forum, I am going against the strict probabilities and am playing for the stiff K offside... based on the lead. But if my LHO were known to be a weak player, I hook the trump since the lead inference is of less weight.
'one of the great markers of the advance of human kindness is the howls you will hear from the Men of God' Johann Hari