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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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