Interesting Deal For Mathematicians

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

So the critical consideration is how often LHO will have been dealt more than 10 red cards (you can't handle either 5-1 clubs or 4-0 spades with this line). A priori, 5-5 hands are dealt about 4% of the time, and 6-5's or 6-6's about 1.4%. So the ruffing squeeze line will work about 2/5.4 times, or about 37% of the time. This makes it upwards of a 20% favourite over the other option.
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