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Probability of Hand Distribution - The priori probability of holding a certain hand pattern is based on mathematical odds.  Aspiring Bridge players make mental references the hand distribution when bidding or determining the best line of play, particularly the most probable hand distribution. 

Among the 39 possible hand patterns, 5 hand patterns comprise 70 percent of the the possible hands.

Longest
Suit
Distribution
Pattern
Percentage Ranking
4

4-4-3-2

21.6

# 1

4-3-3-3

10.5

# 5

4-4-4-1

 3.0

 

35.10

     
5

5-3-3-2

15.5

# 2

5-4-3-1

12.9

# 3

5-4-2-2

10.6

# 4

5-5-2-1

 3.2

 

5-4-4-0

 1.2

5-5-3-0

 .90

 

44.34

 

 

 
6

6-3-2-2

5.6

6-4-2-1

4.7

 

6-3-3-1

 3.5

6-4-3-0

 1.3

 

6-5-1-1

.71

6-5-2-0

.65

 

16.55

 

   
7

7-3-2-1

1.9

7-2-2-2

.51

 
7-4-1-1

.39

7-4-2-0

.36  
7-3-3-0

.27

7-5-1-0

.1  

3.90

Others

.50

Card Distribution (remaining two hands)
Hand Distribution (suits within a hand)
High Card Point Count (HCPs in one hand)
Miscellaneous Probabilities (assorted interesting odds)
Number of Cards (card quantity in a suit)
Posteriori Probability (example when additional information is known)
Suit Combinations (best lead and plays)
Expected Controls (based on HCP)

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