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South is worth 14 points if balancer has 4 card support of hearts--very common for a takeout double of spades. If that doesn't work South's values are very good for NT or diamond contracts. South should force to game with a cue-bid of 3 and accept North's suggestion of 4.

 

Edit: Wrong! See next post.

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Uh Oh? Just glanced at Mike Lawrence. The Complete Book on Balancing in Contract Bridge. Revised ed. 2012. p 358. He advise using the cue bid after lebensohl to find the 4-4 major fit, and the direct cue bid for the stopper ask. Good thing I checked. Corrected auction 2 p p (double)

p (2NT) p (3C)

p (3 p (4)

ppp

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If you're playing leb, what's wrong with 3?

While S has 11 HCP, the upper range of 8-11 HCP that the direct 3 promises according to Lawrence, S also has a singleton and a good 5 card side suit so an upgrade is in order demanding the heart game if partner has the very common minimum TO with 4 hearts.

 

As noted in my second post, Lawrence recommends the delayed cue after lebensohl to show this S hand type. (gf with 4 hearts)

 

With either distributional feature I would game force with this 11 hcp. With both I would gf with 10.

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