Trumpace, on Dec 18 2005, 02:17 AM, said:
(To make the problem a little more interesting {I hope} assume spades are 3-3)
I guess this was a random deal rather than a specific counting problem.
But since it is a count problem, I don't think it is a good idea to "Assume" spades are 3-3. But you can assume that they are 3-3 or that EAST has four. You see why, right? With four spades, most WEST's would have responded 1
♠ and if WEST had 1
♠, EAST would have five.
It is also probably ok to assume that EAST has at least four diamonds and that diamonds are 5-4. Why does east have four diamonds? He can't be 4
♠-4
♦-3
♦-2
♣ simply because they only have a total of 3
♥'s. And if he was 4
♠-3
♥-3
♦-3
♣ WEST would have six diamonds and a heart void and would surely have taken the push to 3
♦ over 2
♥'s.
As robert said, knowing what cards were played to the first two tricks will be helpful in "counting". They have 22 hcp and have found their nine-card fit and yet sold out at the two level. This suggest they have little in the way of distributional value despite one of them having to have a void or singleton in
♥'s.
The problem here, is there is no easy exit from dummy to take the heart hook even if it was on. So, you will be playing hearts from the top. The thought is to endplay EAST in hearts or spades. Basic line. Win club ace, cash heart ace, cash club king, lead a heart. If East is forced to win, you are in control.
If West wins and doesn't exit a spade all is well too. This line will work anytime EAST has only one spade honor, or if he has heart king (one, two or three hearts) and both spade honors. If WEST wins and leads a spade, you have to play for split spade honors.
There could be some lines where you might play EAST for AK doubleton spade, but you will have to do some serious counting of honors before such a line.
Opponents start off with two diamonds and switch to clubs which you win with the ♣A.
Plan the play.