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Very neat card comb in BW


benlessard

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Q64

 

AJ75

 

You need 3 tricks but know that east has the K and at least tripleton.

 

 

Hidden chart of hands to help you

 

M= T,9,8

S= 3,2

 

 

 

 

No_____W_____E_____________Times

1______-______KMMMSS______ 1

2______S_____KMMMS________ 2

3______SS____ KMMM_________1

4______M_____ KMMSS________3

5______MS____ KMMS_________6

6______MSS___ KMM__________3

7______MM____ KMSS_________3

8______MMS___KMS__________ 6

9______MMM___KSS__________ 1

 

 

 

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Let there be 4 cases.

 

1. 3-3 distribution. So long as you finesse some time anything works.

 

2. 4-2 distribution. Some time you will need to finesse twice deep.

 

Suppose East is K 10 9 8 you can finesse at first and win.

Suppose East is K 10 9 x then you're cooked. There is no way to fight against that.

You simply don't have enough intermediates. You only succeed for any East Kxx or K1098.

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Both lines work against MSS-KMM. Each line gains over the other against six combinations. However, the combinations where the intrafinesse gains are all 4-2, whereas some of the combinations where the triple finesse works are 5-1. Hence the intrafinesse is better, isn't it?
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Mxx - KMM : both lines work

Mx  - KMMx (6 combinations): intrafinesse works

MM  - KMxx (3 combinations): treble finesse works

M   - KMMxx (3 rarer combinations): treble finesse works

 

Thus, as I said, the intrafinesse is better.

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Seems trickier to me. Suppose you are going for intrafinesse, you lead towards dummy and LHO plays a middle card. Now you cover with queen and RHO wins king.

 

You now have to guess if LHO played a middle card from Mx (in which case you should finesse RHO for both outstanding middle cards) or from MMx (in which case you must play for the remaining middle cards to drop). Note that the double finesse picks up all 3-3 breaks (except LHO with all three middle cards) routinely.

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sorry my mistake,

 

 

MMx---------kms

 

is the gain.

 

intrafinesse lose to East M, you go to dummy play the Q to smother west M (from Mx) and go again to dummy to...

 

finesse you win against Mx-----KMMx but lose to

MMx---------KMX.

 

 

play for the drop you win with mmx-------kms but lose to Mx----kmmx

 

its 9 to six 6 in favor of playing the Q (smothering MM or M in West)

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I guess I am lost.... what is the superior play after all...?

Unless anyone else has something to add, we've settled on running the queen, then finessing twice more ("treble finesse").

 

Mxx - KMM : both lines work

MMx - KMx (6 combinations): treble finesse works

Mx - KMMx (6 combinations): intrafinesse works

MM - KMxx (3 combinations): treble finesse works

M - KMMxx (3 combinations): both lines work (I got this bit wrong earlier)

 

This assumes that if I set out to play the intrafinesse line, and LHO plays a middle card on the first round, I'm going to play him for Mx or M. Obviously, in the real world one might do something different.

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