Posted 2013-June-21, 21:47
ok i tried a simulation using the south hand. The constraints i placed on the north hand was 5-10 hcp, 2-3 spades, 5 hearts, 2+ in each minor. i ffigured no 4 spades due to lack of stayma followed by smolen. i look at 1000 unique deals and aanalyzed them by double play using deal masterpro.
The results were close but a "big" advantage seemed to be clear at matchponts or imps to the pass.
FIRST OF THE 1000 HANDS, 75% (751) made four hearts, while 80% (803) made 3NT. There is no worrying about overtricks in those numbers, clearly your game would be more likely to make in notrump than in hearts.
At matchpoints, it is a closer decision. Here you would have to take into acount the number of times you took one or more tricks in hearts than in nortump.. for example, while 80% of the hands took 9 tricks or more at notrump, 94% took nine tricks (or more) in hearts. Let's just compare the number of hand that took exactly 10 tricks in hearts to the number of hands that took exactly 10 tricks in notrump. This iis 751 in hearts to 526 in notrump. Clearly hearts took more tricks, on average, than notrump. The problem in figuring out which is better at matchpoint is that when there is a tie, notrump wins. So one might assume (this is not 100% right) that the same hands taht took 10 tricks in notrump took at least 10 tricks in hearts. So I compared all 1000 notrump contracts to 1000 heart contracts, and found that notrump took the same number or more tricks than hearts on 565 of the 1000 hands. That means notrump was a better spot 56.5% of the time. There were times when hearts took two or three tricks but at matchpoint it is the frequency.
I admit my constraints are not ideal perhaps. I should not allow an opponent to have 8 spades for instance. But these numbers support fairly losely the numbers i quoted from bridgebrowser (This was way more deasls, and used double dummy play and defense). In the bridgebrowser study, 3NT won by about an imp and a quarter over 4H. Somehow that seems a little high for a 5% difference in making. The matchpoint difference was 54% here is is 56.5% "better". Anyway, others can try thiis hand and simulations to see what they find. In the simulations i did, there was some huge swings between the number of tricks taken in notrump and hearts on the hands.
--Ben--