2 Two Way
This method is based on the Paradox method on Chris Ryall's bridge homepage. It allows the inclusion of SemiForcing hands with / into the strong 2 opening bid.
Also included are strong 2NT hands (23-24 balanced) and GF hands. As we will see, one can include a weak two in for free! So to summarize:
Weak Two in
SemiGF in /
Response to 2
||Negative, may contain a trick for a SemiGF
||Negative, one trick for a SemiGF but nothing for
||Natural and forcing
The paradox lies in the responses 2 and 2: If you have a trick for just one major, for example
Q54 53 8752 7652, you bid the major you do NOT like.
Now you must be thinking: "Is he nuts?! If you have nothing you bid higher than 2?". Well, here's the catch:
This "never" happens. It is very unlikely to hold a terrible hand if partner has a weak two and RHO passes.
If it happens they probably have a slam and will think 3 does not go down enough.
If you have no trick for a major you have at least 2 and probably more diamonds.
If partner is weak you have just bid the suit they have a fit in. This will be hard for them to find out.
What constitutes a trick in light of the 2-level responses? This can be very little, one of the following will do:
An Ace or King
Queen of trumps
A singleton or void
Two doubletons or a doubleton and a Queen, accompanied by at least three trumps
As one can see, even yarboroughs like xxxx xxx xxxxx x qualify for a 2 response.
On the other hand, when you have a SemiForcing in or , this is useful information. The trick is not just a trick but an entry as well, which might be worth another trick. So it is likely that the game will not make if responder has no trick/entry, and it will when responder does have the trick.
Also what is funny is that many opponents will be very surprised to see an auction 2 - 2/ - pass which will actually work well, as normally this would mean a wheel has come off :)
For some examples see Chris Ryall's ParadoX advances.
Just for completeness, if they double 2 assume partner is weak:
Pass shows 5+ and willingness to play there.
Redouble shows a strong hand and asks partner to pass and to cooperate doubling opponents if they run.
2/ is natural and constructive but not forcing.
2 and preemptive raises cover all weak hands.
Add-on for the brave
To accommodate a tricky hand type, one can include a natural and constructive hand type in the 2/ responses: In addition to the meaning shown above, these bids can also show a good 5-card major and game interest opposite a Weak Two in (non-forcing). Both sides will continue with the assumption that partner is strong if they are weak and vice versa until proven otherwise.