TWO4BRIDGE, on 2012-February-02, 10:15, said:
After much agonizing thought, I too think quiddity's line is best.
Really? I was pretty sure it was the worst.
Here's an attempt at comparison:
Line 1:
♦A. If RHO drops an honor, draw trump and diamond to the ten. Otherwise,
♦K,
♦x, hoping to ruff a diamond and cash the
♥A.
Line 2: strip majors, draw trumps, diamond to the ten.
Line 1 gains when hearts are 2=6 and RHO holds one, two, or three diamonds containing exactly one honor.
Line 2 gains when LHO holds both diamond honors and (hearts are 1=7 or RHO holds 0-1 diamonds).
Line 1 gaining:
- 2=6 heart break : 11:7 empty spaces
- diamond breaks: 3-3 = 31.1%, 4=2 = 37.3%, 5=1 = 17.4%
3-3: 20 total holdings, RHO holds exactly one honor in 12 of them.
4=2: 15 total holdings, RHO holds exactly one honor in 8 of them.
5=1: 6 total, RHO holds an honor in 2 of them.
===> (12/20)*31.1 + (8/15)*37.3 + (2/6)*17.4 = 44.4% of the 2=6 heart breaks.
Line 2 gaining:
- 1=7 heart break : 12:6 empty spaces
- chance of LHO holding
♦QJ = (12/18)(11/17) = 43.1% of the 1=7 heart breaks
- 2=6 heart break
- diamond breaks: 6=0 = 2.5%, 5=1 = 17.4%
===> (4/6)*17.4 + 2.5 = 14% of the 2=6 heart breaks
These lines are equal if RHO started with 6 hearts 58% of the time. My guess is that this is too low (given the loose preempt style and the solid heart suit). If RHO is always opening 3
♥ whether he has 6 or 7, then the chance he has 6 is the same as the chance that LHO has the
♥4 given 12:7 empty spaces (63%). In fact RHO might open 4
♥ on some of his 7-baggers so it looks like the diamond ruff line is significantly better.
Cascade asks "Lead ♥ 6. 3♥ was described as "loose could be a six-card suit". How do you play?[
Guess: ♥K, ♦A, ♣x towards ♣Q.
- If ♣Q wins then ♦x towards ♦K, ♣A and another round of ♦, hoping to ruff the fourth round in dummy.
- If LHO wins ♣K, then cash ♣A , ♠KQ, ♣QJ.
- If RHO wins ♣K then run ♥ return to dummy's ♥A, hoping RHO has fewer than 7 ♥.,