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Probability of
High Card Point - The a priori probability of holding a given number of High
Card Points is based on mathematical odds. Aspiring Bridge players make
mental references the hand strength when bidding or determining the optimum bid
and best line of play.
Note: since the
deck has 16 honors (4 suits x 4 HCP honors/suit), a 13 cards hand cannot hold
all 40 HCPs in the deck. Of course, suit length, fit, and other
Environmental Factors are also
important. Also see Probability HCP
|
High Card Point
Count in 1 Hand |
Cummulative
Percentage
Probability
(rounded) |
Individual
Percentage
Probability
(rounded) |
|
37 |
0.00 |
0.00 |
|
36 |
0.00 |
0.00 |
|
35 |
0.00 |
0.00 |
|
34 |
0.00 |
0.00 |
|
33 |
0.00 |
0.00 |
|
32 |
0.00 |
0.00 |
|
31 |
0.00 |
0.00 |
|
30 |
0.00 |
0.00 |
|
29 |
0.00 |
0.00 |
|
28 |
0.00 |
0.00 |
|
27 |
0.00 |
0.00 |
|
26 |
0.02 |
0.01 |
|
25 |
0.05 |
0.03 |
|
24 |
0.10 |
0.06 |
|
23 |
0.21 |
0.11 |
|
22 |
0.42 |
0.21 |
|
21 |
0.80 |
0.38 |
|
20 |
1.45 |
0.64 |
|
19 |
2.48 |
1.04 |
|
18 |
4.09 |
1.61 |
|
17 |
6.45 |
2.36 |
|
16 |
9.76 |
3.31 |
|
15 |
14.18 |
4.42 |
|
14 |
19.88 |
5.69 |
|
13 |
26.79 |
6.91 |
|
12 |
34.82 |
8.03 |
|
11 |
43.76 |
8.94 |
|
10 |
53.17 |
9.41 |
|
9 |
62.52 |
9.36 |
|
8 |
71.42 |
8.89 |
|
7 |
79.44 |
8.03 |
|
6 |
86.00 |
6.55 |
|
5 |
91.18 |
5.19 |
|
4 |
95.03 |
3.85 |
|
3 |
97.49 |
2.46 |
|
2 |
98.85 |
1.36 |
|
1 |
99.64 |
0.79 |
|
0 |
100.00 |
0.36 |
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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