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Puzzle #18: Problem and Solution

Inferential Problem
by Kit Woolsey
 NORTH
S A 7 5
H A Q 10
D A J 3
C 8 6 4 2
 
SOUTH
S Q J 8 6
H 9 7 2
D K 6 5
C A K 9

   South, who has the best poker hand, can make six spades against any defense.

   What are the exact East-West hands?

Solution


NORTH
S A 7 5
H A Q 10
D A J 3
C 8 6 4 2
WEST
S K 4 3 2
H K J 8
D Q 10 8
C 7 5 3
EAST
S 10 9
H 6 5 4 3
D 9 7 4 2
C Q J 10
SOUTH
S Q J 8 6
H 9 7 2
D K 6 5
C A K 9



   Neither defender can have five spades (else South's straight would not be the highest-ranking poker hand). East must hold ten-nine doubleton of spades, and the contract is made on a smother play. South wins the opening club lead (best), takes the queen and jack of trumps, wins a heart finesse, leads a club to the closed hand, wins another heart finesse, cashes the ace of hearts and three diamonds, then leads a club to force East on lead to play a red card, smothering West's king of spades.
   East's clubs must be queen-jack-ten, else he can unblock; the rest of the red-suit cards can be deduced from the condition that South holds the best poker hand.


(Adapted from The Bridge World)

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