han, on Sep 19 2008, 12:51 AM, said:
han, on Sep 17 2008, 03:31 PM, said:
awm, on Sep 17 2008, 01:25 PM, said:
I would be willing to bet that most partner hands with 33(34)/(23)44 shape and Kxx or weaker spades will play better in 5m than 3nt.
OK I'm taking you up on this bet, will post results later.
I regret to say that I lost the bet.
I gave south the hand that started the discussion,
♠A
♥KJ75
♦Q852
♣QT63, and gave north a 33(34)/(23)44 12-14 count. I produced 1000 hands to fit the criteria. I found that game in NT (34.2%) and game in a minor (33.0%) were nearly identical propositions. (I think the difference will be significant once you add in the real world factor of a relatively blind opening lead after 1N-3N compared to the revealing auction to 5m.)
Some other findings:
- Game in NT made 24.3% of the time when responder had two spades and 35.9% of the time when responder had three spades.
- When responder held Kx(x) or QJx in spades, 3NT made 51.6% of the time; when responder had worse spades, 3NT made 27.4% of the time.
- When responder held Kx(x) or QJx in spades, 5m made 13.9% of the time; when responder had worse spades, 5m made 40.5% of the time.
- When responder had 12 HCP, 3NT made 22.7% of the time; when responder had 13 HCP, 3NT made 32.7% of the time; when responder had 14 HCP, 3NT made 53.5% of the time.
The middle two items suggest to me that this is a situation where an exchange of information will help the partnership land in the right spot -- the difference between making 3NT 51.6% of the time responder has spade help and 27.4% of the time responder has no spade help is not going to be overcome by putting the defenders to a blind opening lead (and defense). Of course, this is only a subset of the possible hands facing a 1444 opening 1NT, so there may be lots of responding hands where an exchange of information won't help our side and will help the defenders.
Below is the input file I used with mdealer for this simulations.
[space] [space]predeal south SA, HKJ75, DQ852, CQT63
[space] [space]shape_ok=shape(north, 3343 + 3334 + 2344 + 3244)
[space] [space]hcp_ok=hcp(north)>11 && hcp(north)<15
[space] [space]spades_ok = hcp(north, spades)<4
[space] [space]
[space] [space]north_ok = shape_ok && hcp_ok && spades_ok
[space] [space]tn=tricks(north,notrump)
[space] [space]td=tricks(south,diamonds)
[space] [space]tc=tricks(south,clubs)
[space] [space]
[space] [space]diamond_fit = diamonds(north)==4
[space] [space]club_fit = clubs(north)==4
[space] [space]
[space] [space]kx = hascard(north, KS)
[space] [space]qjx = hascard(north, QS) && hascard(north, JS) && spades(north)==3
[space] [space]bad_spades = !kx && !qjx
[space] [space]
[space] [space]game_nt = tn>8
[space] [space]game_m = td>10 || tc>10
[space] [space]condition north_ok
[space] [space]produce 1000
[space] [space]action
[space] [space] [space] [space]average "Tricks in NT" (tn),
[space] [space] [space] [space]average "Game in NT" (game_nt),
[space] [space] [space] [space]average "Game in minor" (game_m),
[space] [space] [space] [space]frequency "Tricks in clubs by club length" (clubs(north), 3, 4, tc, 9, 10),
[space] [space] [space] [space]frequency "Tricks in diamonds by diamond length" (diamonds(north), 3, 4, td, 9, 10),
[space] [space] [space] [space]frequency "Tricks in NT by spade length" (spades(north), 2, 3, tn, 7, 8),
[space] [space] [space] [space]frequency "Tricks in NT with bad spades" (bad_spades, 0, 1, tn, 7, 8),
[space] [space] [space] [space]frequency "Game in minor with bad spades" (bad_spades, 0, 1, game_m, 0, 1),
[space] [space] [space] [space]
[space] [space] [space] [space]frequency "Tricks at NT by HCP" (hcp(north), 12, 14, tn, 7, 8),