LESSON 25.1: DISTRIBUTION OF THE CARDS MISSING IN A SUIT

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a) An even number of cards will more often split unevenly than evenly between the two opponents (except for two cards)

b) An odd number of cards will more often split as evenly as possible between the two opponents

c) The opponent holding the greater number of cards in a suit will more likely hold a given card

d) Two missing honors in a suit will split 52 % of the time between the opponents

e) Distribution of the cards missing in a suit

          

number of cards distribution Percentage --------- ----------- ----------- 2 1 - 1 52 % 2 2 - 0 48 % 3 2 - 1 78 % 3 3 - 0 22 % 4 3 - 1 50 % 4 2 - 2 41 % 4 4 - 0 9 % 5 3 - 2 68 % 5 4 - 1 28 % 5 5 - 0 4 % 6 4 - 2 48 % 6 3 - 3 35 % 6 5 - 1 15 % 6 6 - 0 1 to 2 % 7 4 - 3 62 % 7 5 - 2 31 % 7 6 - 1 7 % 7 7 - 0 0 to 1 %


          

Dealer: South
Vul: None

North

A J 9 8 4



 

West

East

 

?



?



 

South

 

10 7 3 2



 

 
   

Example

The probability that the four missing spades split 3-1 is 50 %
(42 % for a 2-2 split)
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