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

Generally, when opponents hold an even number of cards, the number of cards held will not break evenly between the opponents.  When opponents hold an odd number of cards, the number of cards held will break evenly.

Also see Suit Combinations

Outstanding Cards Possible Holding Percentage Number of Hands Percent
Singleton
(Drop or Finesse)
Percent
Doubleton
Percent
Trebleton
2 1-1
2-0, 0-2
52.0
48.0
2 52.0
Drop any, no finesse
48.0 NA
3 2-1, 1-2
3-0, 0-3
78.0
22.0
6
2
26.0
Finesse K but not QJ
52.0 22.0
4 3-1, 1-3
2-2
4-0, 0-4
49.7
40.7
9.6
8
6
2
12.4
Finesse K but not QJ
40.7 37.3
5 3-2, 2-3
4-1, 1-4
5-0, 0-5
67.8
28.3
3.9
20
10
2
5.7
Finesse KQ but not J
27.1 40.7
6 4-2, 2-4
3-3
5-1, 1-5
6-0, 0-6
48.5
35.5
14.5
1.5
30
20
12
2
2.4
Finesse KQJ
16.2 35.5
7 4-3, 3-4
5-2, 2-5
6-1, 1-6
7-0, 0-7
62.2
30.5
6.8
.5
70
42
14
2
.96 8.8 26.9
8 5-3, 3-5
4-4
6-2, 2-6
7-1, 1-7
8-0, 0-8
47.1
32.7
17.1
2.9
.16
112
70
56
16
2
.36 4.3 17.7

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)

Also see books on Probabilities
 

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