Statto, on 2012-March-25, 17:25, said:
Please demonstrate then. I would like to see how this flawed analysis holds up.
Very well, just to keep it simple:
Assume opener has 4+ diamonds. I have 4 diamonds and 5 clubs, so ignoring my exact major suit layouts, this accounts for 13 of the cards. 39 are unknown, and partner has 13. Therefore on an expectation basis, partner has a 13/39 (1/3) claim to every unknown card.
The unknown cards are:
13 spades
13 hearts
5 diamonds
8 clubs
Partner has, on average:
13 x (1/3) = 13/3, or 4.3 spades.
13 x (1/3) = 13/3, or 4.3 hearts.
5 x (1/3) = 5/3, or 1.7 diamonds.
8 x (1/3) = 8/3, or 2.7 clubs.
On average, you usually have a club fit (if not at least club tolerance). It gets even better if you add a 5th diamond to your hand or opener's hand. Even if he only has 2 clubs, he may have a diamond ruffing value.
Now change your minor shape to 1-5. Now, there are 42 unknown cards, but they are 13 spades, 13 hearts, 8 diamonds, and 8 clubs.
Partner has, on average:
13 x (13/42) = 169/42, or 4.0 spades.
13 x (13/42) = 169/42, or 4.0 hearts.
8 x (13/42) = 104/42, or 2.5 diamonds.
8 x (13/42) = 104/42, or 2.5 clubs.
Now, partner only rates to have a club fit about half the time. In addition, just as often as not, dummy will be of no value for ruffing anything (in a club contract) and you may get tapped at trick 2. Granted a major suit fit is now more likely, but that offsets the decrease in the chance of a club fit. (Plus we can overcall in a major or takeout double with any hands having a 1-5 minor suit shape.)
I realize the difference is small, but the expectation of finding a fit a slightly more often, alongside the increased likelihood that the trumps can be used to ruff diamonds, is an important consideration.