Logic Trumps Odds

Author: Larry Cohen
Date of publish: 05/01/2019
Level: Intermediate

For the 5th consecutive month, we visit a misplayed deal from the 2018 U.S. Team Trials. Watching online can frustrate me, as I expect more from the expert players. South held:

♠ AKQ  
♥ Q75  
♦ AKQJ5  
♣ J9
Vulnerable against not, he opened 2♠ and (after partner's 2♠ waiting) rebid 2NT to show 22-24 balanced. Partner used Stayman and then jumped to 5NT to offer a choice of slams. South chose diamonds, but North was having none of that and corrected to 6NT. A low diamond was led:

♠ J97
♥ K1096
♦ 98
♣ AQ54
 
♠ AKQ
♥ Q75
♦ AKQJ5
♣ J9

Dummy's 9 held. What are the odds? You don't need to know them! You just need good logic. Can you figure out the best line of play (note: there is no 100% line)?

Start by counting top tricks. You have 3 spades, 5 diamonds and 1 club. One big conclusion is that you should disregard the club suit. Even if you were to win a club finesse, that would get you to only 10 tricks. You could later establish a sure heart trick, but would still need to find the ♠J for a 12th trick.

Since you will have to find the ♠J regardless, there is no reason to take an initial club finesse. Contrast the club finesse plan to working on hearts (the right play). If you can find the ♠J (which you will always need) and take 3 heart tricks, you won't need a club finesse. You'd have the 9 top tricks mentioned above and 3 heart tricks.  So, it is only a question of how to play hearts.

You can finesse against either opponent for the ♠J, but you should choose to finesse against West (LHO). Why? Because if he has the ♠J (a 50% chance), you claim 12 tricks. If you play East (RHO) for it and he has it, you are not home free. You'd still need a reasonable heart break or club finesse. Picture, for example, East with ♠Jxxx or ♠AJxx. You'd lead the ♠10 for a finesse, but later, the ♠Q and another heart would reveal the suit isn't running.

At trick 2 (in dummy), lead a low heart (East could have a singleton jack). No matter who has the ace, take the 50-50 finesse against West's ♠J. Nothing (certainly stay away from the clubs) is better. This was the Real Deal:

Vul:Both
Dlr: North
♠ J97
♥ K1096
♦ 98
♣ AQ54
 
♠ 104
♥ AJ842
♦ 1074
♣ K102
  ♠ 86532
♥ 3
♦ 632
♣ 8763
  ♠ AKQ
♥ Q75
♦ AKQJ5
♣ J9
 

Declarer did actually work on hearts, but he played them incorrectly (running the ♠10 from dummy) for down one. The other table played in game, so this cost 26 IMPs (lose 13 instead of winning the same number).