quiddity, on Jan 21 2010, 02:28 AM, said:
We need to figure out how to play trumps for no losers. If East has all three, we need to cross to dummy and run the J - but this will lose to singleton Q and doubleton QT offside when cashing the AK would have worked.
I used Pavlicek's suit break calculator here:
http://www.rpbridge.net/xsb2.htm
and it looks like a toss-up:
missing cards: 3
west spaces: 6
east spaces: 11
specific 2-1 break (QT offside) = 8%
specific 1-2 break (Q offside) = 16%
0-3 break (QTx onside) = 24%.
Is there a handy way of doing this kind of calculation at the table?
This is not a good way of doing it. It ignores that west is never 5071, or 4072, or 1075 or even 0076 etc
Also, west always has at least one spade honor here. Definitely don't play west for a heart void, the only time they will have one is if they're 3073, or 2074, and that is far less likely than west being 2173, 1174, 3172 with stiff Q or 2272, 1273, with QT doubleton. Stiff spade is maybe discounted since if it was the stiff A it might have gotten led, but stiff K never would (stiff small is impossible since righty would shift to a high spade).
red/white I wouldn't put much stock into the fact that LHO might open 1D with SA, DKQ, and HQ, especially when the HQ is short, but it's possible with all that + the CJ, 1D would be opened. I think it is more likely that a hand with a void and the SA and DKQ and CJ would be opened 1D, especially Ax --- KQxxxxx Jxxx, so we can discount both. I think a void is just as likely to open aggressively at the 1 level as stiff Q or QT doubleton is basically.
Still there are just way more hands where it is right to play for the drop in hearts.
EDIT:
Also if you want to do empty spaces, it seems to me like we know righty has 5 clubs at least (else LHO has 5 clubs), and we know righty has 2 spades at least (else LHO has 4 spades), and we know RHO has 2 diamonds. So we "know" 9 of his cards, compared to LHO who we know has 7 diamonds, 2 clubs (else he would lead his stiff club since it's not an honor), and 1 spade. So we "know" 10 of his cards. 10-9 is not much.
3♦-p-p-3♥
p-4♥-all p
lead ♦K overtaken by Ace
and ♦8 played at trick two
You win by a low ruff and now what?