VM1973, on 2011-August-09, 07:23, said:
Using Bridge Baron I dealt 10 hands to analyze them. In all of the hands I held:
♠AKQ10987
♥2
♦2
♣5432
White vs. Red, 2nd seat, matchpoints, opener passes. This is, in my opinion, superior than culling a large database of people of all seats and drawing generalizations about what will happen. These were the results:
Hand 1:
4S and 1S lead to +450
3S and Pass lead to +200.
Hand 2:
4S and 1S lead to +420
3S leads to +100 (opponents bid 5♦)
Pass leads to 4S doubled making.
Hand 3:
The most interesting hand, dummy hits with:
♠Jx
♥AKQxx
♦AKxxx
♣x
After a low heart lead I won on the board, ruffed a small heart in hand and ran the spades hoping for some kind of squeeze. In the end hearts broke 4-3 and +510 for everyone - flat.
Hand 4:
4S and 1S lead to +450
3S +200
Pass leads to 4S doubled +5
Hand 5:
4S and 1S lead to +450
3S and Pass lead to +200
Hand 6:
4S and 1S lead to +420
3S +170
Pass -> 4S*+4
Hand 7:
Regardless what you open you reach 4S*+5. Flat
Hand 8:
4S, 3S, and Pass lead to 4S*-1
1S +140
Hand 9:
Another very interesting hand.
4S gets cracked right off the bat and dummy hits with ♠Jxxxx (!) Routine play leads to 12 tricks.
3S, 1S, Pass lead to +480
Hand 10:
RHO has ♠Jxxxx of spades and 4S never has a prayer, but doesn't get doubled, either.
4S-2
3S-1
1S+100 (4H-1)
Pass+100 (4H-1) Although in all fairness, had I not previously played the hand 3 times, I might have taken an action after P-P-1H-P-1S-???
End Result:
3S +9
4S +16.5
Pass +17
1S +17.5
My conclusion: 3S doesn't work out, but the other 3 options are too close to call.
As wyman noted, your simulation involves far too few hands from which to draw conclusions, altho I lack the math to tell you how many would be approprite (several here have the math). More to the point, it seems highly likely that few good players would agree your results when you do not give any of your analyses (or your constraints).
As gwnn observed, your analysis seems odd on the hand to which he refers, and I was puzzled by the hand where the opps double 4♠, apparently sit for it, and we make 12 tricks.
Doing a serious analyis of this type of situation is extremely difficult and requires significant self-discipline and the ability to recognize that on many hands it is impossible to predict the auction well enough to allow for valid analysis. I generally won't attempt a simulation of this type for that reason.
I also find it amuising that you have criticized the validity of my views (and others with whom you disgree) on the basis that we won't have encountered this hand type often enough to allow us to form an opinion from experience, yet you think that a sample size of 10 allows you to draw useful conclusions