WesleyC, on 2015-August-07, 21:40, said:
I can kinda see that playing AJ of hearts will gain when both black suits break nicely and you can ruff a club small and then cross in trumps. On the other hand, we are basically playing not to surrender two ruffs if you play that way, and that is surrendering to some pretty likely layouts when the hearts are 4-1 given the diamond lead. So I don't think its something that you should be concerned about. Also, its not as if its a clear technical improvement since e.g. here:
cashing the heart AJ is fatal, and cashing the AK succeeds.
So assuming that we cash the AK of hearts. What next? The main problem is when can we deal with lho being 4-1 in the red suits. Eventually I can pitch my club loser. But if rho has the spade ace and either the Q or J or A of clubs its all over (can get two ruffs most likely if rho has both black aces). At this point I probably maximise my chances by cashing a third round of trumps and playing a spade. If LHO has the ace of spades I have won now, as anything which he returns enables me to draw trumps. If rho has the spade I need lho to have all of the AQJ of clubs. If rho fishes out one of the Q or J of clubs I will cover/fly K because thats my only chance. So I will make - geven lho has 4 trumps - when
(1) LHO has the spade A
(2) RHO has the club A
(3) LHO has all of the AQJ of clubs as now there are no entries for both two clubs and a ruff if the diamonds are 2-2
(4) Probably when lho has the AQ of clubs, as its tough for a defender to switch back to a low club at this point. Depends how good they are.
The alternative line of cashing 4 trumps and playing a spade to the Qworks whenever the spade A is with lho or the club ace is with rho which is 75%, my line is slightly better as gets AQJ of clubs with lho also. I think not cashing a third trump is a mistake because it has the big losing case of rho having two black aces and lho getting two ruffs.
Probably at the table I would not have picked up the extra case of lho having AQJ clubs and diamonds being 2-2 despite the lead, and just cashed 4 trumps and played a spade to the Q. Given that I am going to cash a third round of trumps to avoid going off when rho has both black aces, its going to be AK and J in some order. I think this is clearly superior to any line involving cashing only two trumps.
The physics is theoretical, but the fun is real. - Sheldon Cooper