BridgeHands

Google BridgeHands

 HOME  Encyclopedia  Newsletter  Laws  Products  Services  Reviews  Tournaments  Blog  Training  Practice   HELP
 You are at:

 

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)

 

HOME  Encyclopedia  Newsletter  Laws  Products  Services  Reviews  Tournaments  Blog  Training Practice Links HELP
Contacts: Sales  Support  Reviews  Q&A    Disclaimer    Privacy    2005 BridgeHands   Updated 01/22/11