jdonn, on Oct 28 2009, 05:15 PM, said:
I'm fairly sure he is using total bridge-points, as in +50 for setting them one trick, so 4.2 would be extremely tiny and suggest passing was about as good as opening. However I still feel the missing factors suggest opening as well.
Yes, to confirm, I am using total bridge points, so the original sim says passing is about as good as bidding if both sides play par bridge.
I have tweaked the simulation to disallow some of East's 10-11 counts so North's Average HCP is going to be somewhat higher than his expected 9.33.
I also used the true spots -- the original post only specified x's, while a followup post mentioned the actual spots (QJ3 J75 K2 KQ754)
Hands = 1000
Average North HCP = 9.734
Average NS score = 35.75 points
N/S plus = 606
N/S minus = 394
160 [Score "NS -110"]
26 [Score "NS -120"]
15 [Score "NS -130"]
85 [Score "NS -140"]
3 [Score "NS -200"]
8 [Score "NS -400"]
20 [Score "NS -420"]
1 [Score "NS -450"]
10 [Score "NS -80"]
65 [Score "NS -90"]
1 [Score "NS -920"]
154 [Score "NS 100"]
99 [Score "NS 110"]
91 [Score "NS 120"]
11 [Score "NS 130"]
98 [Score "NS 140"]
11 [Score "NS 300"]
16 [Score "NS 500"]
17 [Score "NS 600"]
9 [Score "NS 620"]
1 [Score "NS 630"]
3 [Score "NS 650"]
12 [Score "NS 80"]
84 [Score "NS 90"]
All the +100s and -200s are from doubled contracts, so it's easy to adjust. The total score on the 1000 hands was 35750. Double gains 50 points 154 times, or 7700 points, and loses 100 points 3 times for 300 points. So assuming no matchpoint-style doubles, the adjusted total score would be 35750 - 7400 = 28350, giving N/S a more realistic par average of 28.35 points from opening. So with the East adjustment, it's clear to open in 4th chair.
Also, the -920 involved A7 T6 AT87654 J6 opposite KT842 A984 Q93 8, but it only influences the par average by 1 point. I admit my preempt / weak two function is not robust -- I'd be happy to solicit suggestions to make my future sims better.
This is the complete hand. My partner didn't want to open his 12-count either so we got 0 instead of the 600 that everyone got in 3NT. How would you divide the fault here?