|
Expected Controls - The percentage of expected "2-1" controls (Ace = 2, King = 1 control) for
balanced hands (4-3-3-3, 4-4-3-2, or 5-3-3-2 distribution) based on HCPs, first published in "Bridge World" (December, 1974) by George Rosencrantz.
Expected Number of Controls for balanced
hands
(row #'s in percentages - add to 100%)
Predominant control numbers shown in RED |
| Controls |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
| HCP |
|
|
|
|
|
|
|
|
|
|
|
|
|
| 3 |
67 |
33 |
|
|
|
|
|
|
|
|
|
|
|
| 4 |
40 |
39 |
21 |
|
|
|
|
|
|
|
|
|
|
| 5 |
23 |
48 |
29 |
|
|
|
|
|
|
|
|
|
|
| 6 |
12 |
41 |
47 |
|
|
|
|
|
|
|
|
|
|
| 7 |
5 |
30 |
46 |
19 |
|
|
|
|
|
|
|
|
|
| 8 |
2 |
19 |
44 |
38 |
7 |
|
|
|
|
|
|
|
|
| 9 |
|
10 |
35 |
44 |
11 |
|
|
|
|
|
|
|
|
| 10 |
|
5 |
24 |
44 |
27 |
|
|
|
|
|
|
|
|
| 11 |
|
2 |
14 |
40 |
33 |
11 |
|
|
|
|
|
|
|
| 12 |
|
1 |
8 |
30 |
42 |
17 |
2 |
|
|
|
|
|
|
| 13 |
|
|
3 |
20 |
39 |
34 |
4 |
|
|
|
|
|
|
| 14 |
|
|
1 |
11 |
33 |
38 |
17 |
|
|
|
|
|
|
| 15 |
|
|
|
5 |
24 |
42 |
23 |
6 |
|
|
|
|
|
| 16 |
|
|
|
2 |
14 |
36 |
37 |
10 |
1 |
|
|
|
|
| 17 |
|
|
|
1 |
8 |
27 |
39 |
24 |
1 |
|
|
|
|
| 18 |
|
|
|
|
3 |
18 |
39 |
30 |
19 |
|
|
|
|
| 19 |
|
|
|
|
1 |
10 |
32 |
40 |
15 |
2 |
|
|
|
| 20 |
|
|
|
|
|
5 |
22 |
38 |
31 |
4 |
|
|
|
| 21 |
|
|
|
|
|
2 |
13 |
35 |
35 |
15 |
|
|
|
| 22 |
|
|
|
|
|
1 |
6 |
26 |
43 |
20 |
4 |
|
|
| 23 |
|
|
|
|
|
|
3 |
18 |
39 |
35 |
7 |
|
|
| 24 |
|
|
|
|
|
|
1 |
9 |
31 |
38 |
21 |
|
|
| 25 |
|
|
|
|
|
|
|
4 |
21 |
43 |
26 |
6 |
|
|
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 |
