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Subject to defining partner's 3 agree with Cyberyeti's first choice. We have 17 with fabulous controls but not a great fit, and partner's bid is at least "a king over minimum" (taken to be a good 14 upwards) we must be close to 6NT.

 

4NT is unambiguously quantitative because we have a natural 4 (or 3) to set the suit as trumps. A pair that plays the system must have an agreement as to the minimum hcp value of 3, but on the basis that "a king over minimum" means 14hcp, then 4NT from me. If "a king over minimum" means a good 15 hcp upwards, then 6NT direct.

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I see problem. if p is 5/5 no control, say 5125 if you bid 3 then what partner bid next 3(?), then what do you next bid? 4NT? quantitative or rkcb?

 

with good controls and 17 points I would gamble 6nt after 3 - not science but the A is a good card. you might get lead from the K. 6nt looks about where you want to be, except if partner comes up with KQJ10x xx x AKQxx so sensible bid is 3 after 3

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I see problem. if p is 5/5 no control, say 5125 if you bid 3 then what partner bid next 3(?), then what do you next bid? 4NT? quantitative or rkcb?

 

with good controls and 17 points I would gamble 6nt after 3 - not science but the A is a good card. you might get lead from the K. 6nt looks about where you want to be, except if partner comes up with KQJ10x xx x AKQxx so sensible bid is 3 after 3

 

Well also unless partner comes up with KJxxx, Q, KJx, KQJx where 4N is plenty

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Actually, we can stop after the 3 bid. All I needed to check was my belief, with what I hold opposite "a K more than min", is that we should be in 6nt.

 

Depends what the K above minimum looks like, there are plenty of minimum hands where 6 is good (KQJ10x, Q, Kxx, Axxx is cold for example)

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