P_Marlowe, on 2022-April-01, 00:28, said:
Hi,
if you want to set up the 4th spade, lead low otherwise high.
if you have all (most of) the combined strength, i.e. besided AK add.
values, A will be safer, you get a look, and you can continue with a
low one, you dont expect partner to get in.
With kind regards
Marlowe
PS: The given Bird / Anthias hand is a hand, that would fall, you have most
of the strength, i.e. high.
I ran a couple of sims of my own.
To keep things extremely basic, I assumed any balanced 15-17 HCP for South, and any 10-15 HCP for North, either 4333 or 4 card major; I assumed no singleton as well.
My results for the original hand over 1000 sims were:
SA: beats game 26.9%, averages 4.13 tricks
S4: beats game 15.7%, averages 3.86 tricks
Obviously all of these are a lot lower than their stats since I assume they included some 9 HCP acceptances as you would expect from a human - can rerun with more accurate acceptances if someone wants to provide a good definition - but it shows a similar advantage for SA.
If I then replace the club ace with the club 2:
SA: beats game 14.5%, averages 3.40 tricks
S4: beats game 7.3%, averages 2.86 tricks
With the latter, weaker hand:
- on 74 occasions a high spade beat game and a low spade didn't
- only on 2 occasions a low spade beat game and a high spade didn't
- on 316 occasions a high spade took more tricks
- on 22 occasions a low spade took more tricks
Again, double dummy blah blah - there were 32 cases when partner held Jxx(x), dummy held the Q, and dummy/declarer held the T, where low may cause declarer to misguess and give us an extra trick. But I'd be surprised if double dummy advantage is going to provide such a big swing on the remaining holdings - there are very few where low gains anything, and many where it costs.