Interesting Deal For Mathematicians

Pages: Page 7 of 10

Dealer: South
Vuln: N-S
Scoring: Pairs
  1. spadeJ 8 2
  2. heartA K
  3. diamondJ 5 4
  4. clubK 9 8 7 6
  1. spade4
  2. heart10 6 4 3 2
  3. diamondK Q 10 8 2
  4. clubQ 5
club diamond heart spade NT
N 5 1 2 6 5
S 5 1 2 6 5
E - - - - -
W - - - - -
Green square in centre
  1. spade10 7 3
  2. heartQ J
  3. diamond9 7 6 3
  4. clubJ 10 4 3
  1. spadeA K Q 9 6 5
  2. heart9 8 7 5
  3. diamondA
  4. clubA 2
Double dummy analyser: makeable contracts
West North East South
1spade
2spade* etc etc 7spade
End

* Michaels

Assuming LHO has 5-5 in the red suits, there are 120 possible combinations of black cards for him to hold (10x9x8)/(3x2x1). He can have any of 4 spade singletons, and any of (6x5)/2 = 15 combinations of doubleton clubs, so he has 4x15, or 60 possible black suit holdings that permit this slam to come home. This is precisely half of the 5-5 in the red suit hands. Does this make this line superior to the "in a vacuum" line?
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