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Another 3NT


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IMPs[hv=pc=n&s=sa62h743daj82ck98&n=sj98hkqtdkqt9cqjt&d=e&v=0&b=14&a=1n(9-11)p2h(transfer)p2sppdp3s(asking%20stop)dpp3nppp]266|200[/hv]

You play 3NT after East opened 1NT (9-11 HCP) and West transferred to spades.

West leads 4.

Do you play small or high from dummy?

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This doesn't seem particularily controversial? I mean, first of all, we have 26, if East has 9, then KQ is the absolute maximum West can have in terms of high cards. East could have 10 or West could have some random Jack and then KQ is already impossible, so East is a big favorite to have at least one spade honor. Meanwhile West has 2/3 of the spade cards we haven't seen, so he is favorite to have the 10. Seems pretty obvious to me to play the 8 or 9.
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This doesn't seem particularily controversial? I mean, first of all, we have 26, if East has 9, then KQ is the absolute maximum West can have in terms of high cards. East could have 10 or West could have some random Jack and then KQ is already impossible, so East is a big favorite to have at least one spade honor. Meanwhile West has 2/3 of the spade cards we haven't seen, so he is favorite to have the 10. Seems pretty obvious to me to play the 8 or 9.

You didn't mention West's DBL. Do you consider it unimportant?

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Small.

 

You're playing for LHO with KT+ or QT+, which is roughly twice as likely as KQ+.

Not fully accurate, if J is wrong we have a backup J finesse while if 9 is wrong there is no back up finesse since the J must be wrong. So 1/3 or 1/2 vs 2/3 is equal in theory.

 

We could count all honor combinations.

 

-KQ jack wins

-K low wins 4/5 times when 10 is onside

-K + J anything wins

-Q + J anything wins

-AJ anything wins

-A Anything wins except if they duck Axxx and manage to score 2, 2, 1, but this position still makes no sense given the double.

-A low wins, but double makes no sense

-A + J anything wins

 

 

I am probably missing some combinations, but so far the jack looks a tiny bit better asuming the double cannot be done on 10xxxx.

 

The problem is that we are assuming 2 things that don't need to be true: double shows a willing to get a spade lead, and RHO will never upgrade or downgrade into the 9-11 range. These assumptions are probably far from certain, so playing low will probably be better in practice.

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If LHO has KQ he can never cash them. All we have to do is duck the first trick. Small is obvious. When RHO wins T and continues with the K we can duck again, blocking the entire suit.

Not so obvious. If LHO has KQ then RHO has the other honors and only 8 tricks can be made if you duck the first trick.

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