Simulated probabilities of each card in each hand
| | N | S | E | W |
| | N | S | E | W |
| | N | S | E | W |
| | N | S | E | W |
A |  | 0.25 | 0.25 | 0.25 | 0.25 | A |  | 0.25 | 0.25 | 0.25 | 0.25 | A |  | 0.25 | 0.25 | 0.25 | 0.25 | A |  | 0.25 | 0.25 | 0.25 | 0.25 |
K |  | 0.25 | 0.25 | 0.25 | 0.25 | K |  | 0.25 | 0.25 | 0.25 | 0.25 | K |  | 0.25 | 0.25 | 0.25 | 0.25 | K |  | 0.25 | 0.25 | 0.25 | 0.25 |
Q |  | 0.25 | 0.25 | 0.25 | 0.25 | Q |  | 0.25 | 0.25 | 0.25 | 0.25 | Q |  | 0.25 | 0.25 | 0.25 | 0.25 | Q |  | 0.25 | 0.25 | 0.25 | 0.25 |
J |  | 0.25 | 0.25 | 0.25 | 0.25 | J |  | 0.25 | 0.25 | 0.25 | 0.25 | J |  | 0.25 | 0.25 | 0.25 | 0.25 | J |  | 0.25 | 0.25 | 0.25 | 0.25 |
T |  | 0.25 | 0.25 | 0.25 | 0.25 | T |  | 0.25 | 0.25 | 0.25 | 0.25 | T |  | 0.25 | 0.25 | 0.25 | 0.25 | T |  | 0.25 | 0.25 | 0.25 | 0.25 |
9 |  | 0.25 | 0.25 | 0.25 | 0.25 | 9 |  | 0.25 | 0.25 | 0.25 | 0.25 | 9 |  | 0.25 | 0.25 | 0.25 | 0.25 | 9 |  | 0.25 | 0.25 | 0.25 | 0.25 |
8 |  | 0.25 | 0.25 | 0.25 | 0.25 | 8 |  | 0.25 | 0.25 | 0.25 | 0.25 | 8 |  | 0.25 | 0.25 | 0.25 | 0.25 | 8 |  | 0.25 | 0.25 | 0.25 | 0.25 |
7 |  | 0.25 | 0.25 | 0.25 | 0.25 | 7 |  | 0.25 | 0.25 | 0.25 | 0.25 | 7 |  | 0.25 | 0.25 | 0.25 | 0.25 | 7 |  | 0.25 | 0.25 | 0.25 | 0.25 |
6 |  | 0.25 | 0.25 | 0.25 | 0.25 | 6 |  | 0.25 | 0.25 | 0.25 | 0.25 | 6 |  | 0.25 | 0.25 | 0.25 | 0.25 | 6 |  | 0.25 | 0.25 | 0.25 | 0.25 |
5 |  | 0.25 | 0.25 | 0.25 | 0.25 | 5 |  | 0.25 | 0.25 | 0.25 | 0.25 | 5 |  | 0.25 | 0.25 | 0.25 | 0.25 | 5 |  | 0.25 | 0.25 | 0.25 | 0.25 |
4 |  | 0.25 | 0.25 | 0.25 | 0.25 | 4 |  | 0.25 | 0.25 | 0.25 | 0.25 | 4 |  | 0.25 | 0.25 | 0.25 | 0.25 | 4 |  | 0.25 | 0.25 | 0.25 | 0.25 |
3 |  | 0.25 | 0.25 | 0.25 | 0.25 | 3 |  | 0.25 | 0.25 | 0.25 | 0.25 | 3 |  | 0.25 | 0.25 | 0.25 | 0.25 | 3 |  | 0.25 | 0.25 | 0.25 | 0.25 |
2 |  | 0.25 | 0.25 | 0.25 | 0.25 | 2 |  | 0.25 | 0.25 | 0.25 | 0.25 | 2 |  | 0.25 | 0.25 | 0.25 | 0.25 | 2 |  | 0.25 | 0.25 | 0.25 | 0.25 |
Simulated probabilities of each colour length in each hand
| | N | S | E | W |
| | N | S | E | W |
| | N | S | E | W |
| | N | S | E | W |
0 |  | 0.01 | 0.01 | 0.01 | 0.01 | 0 |  | 0.01 | 0.01 | 0.01 | 0.01 | 0 |  | 0.01 | 0.01 | 0.01 | 0.01 | 0 |  | 0.01 | 0.01 | 0.01 | 0.01 |
1 |  | 0.08 | 0.08 | 0.08 | 0.08 | 1 |  | 0.08 | 0.08 | 0.08 | 0.08 | 1 |  | 0.08 | 0.08 | 0.08 | 0.08 | 1 |  | 0.08 | 0.08 | 0.08 | 0.08 |
2 |  | 0.21 | 0.21 | 0.21 | 0.20 | 2 |  | 0.21 | 0.21 | 0.20 | 0.21 | 2 |  | 0.21 | 0.20 | 0.21 | 0.20 | 2 |  | 0.21 | 0.20 | 0.21 | 0.21 |
3 |  | 0.29 | 0.29 | 0.29 | 0.29 | 3 |  | 0.28 | 0.28 | 0.29 | 0.29 | 3 |  | 0.29 | 0.29 | 0.29 | 0.29 | 3 |  | 0.29 | 0.29 | 0.29 | 0.29 |
4 |  | 0.24 | 0.24 | 0.24 | 0.24 | 4 |  | 0.24 | 0.24 | 0.24 | 0.24 | 4 |  | 0.24 | 0.24 | 0.24 | 0.24 | 4 |  | 0.24 | 0.24 | 0.24 | 0.24 |
5 |  | 0.12 | 0.12 | 0.12 | 0.12 | 5 |  | 0.12 | 0.12 | 0.13 | 0.12 | 5 |  | 0.13 | 0.12 | 0.12 | 0.13 | 5 |  | 0.12 | 0.12 | 0.12 | 0.13 |
6 |  | 0.04 | 0.04 | 0.04 | 0.04 | 6 |  | 0.04 | 0.04 | 0.04 | 0.04 | 6 |  | 0.04 | 0.04 | 0.04 | 0.04 | 6 |  | 0.04 | 0.04 | 0.04 | 0.04 |
7 |  | 0.01 | 0.01 | 0.01 | 0.01 | 7 |  | 0.01 | 0.01 | 0.01 | 0.01 | 7 |  | 0.01 | 0.01 | 0.01 | 0.01 | 7 |  | 0.01 | 0.01 | 0.01 | 0.01 |
8 |  | 0.00 | 0.00 | 0.00 | 0.00 | 8 |  | 0.00 | 0.00 | 0.00 | 0.00 | 8 |  | 0.00 | 0.00 | 0.00 | 0.00 | 8 |  | 0.00 | 0.00 | 0.00 | 0.00 |
9 |  | 0.00 | 0.00 | 0.00 | 0.00 | 9 |  | 0.00 | 0.00 | 0.00 | 0.00 | 9 |  | 0.00 | 0.00 | 0.00 | 0.00 | 9 |  | 0.00 | 0.00 | 0.00 | 0.00 |
10 |  | 0.00 | 0 | 0 | 0.00 | 10 |  | 0.00 | 0 | 0 | 0.00 | 10 |  | 0.00 | 0.00 | 0 | 0 | 10 |  | 0.00 | 0 | 0.00 | 0 |
11 |  | 0 | 0 | 0 | 0 | 11 |  | 0 | 0 | 0 | 0 | 11 |  | 0 | 0 | 0 | 0 | 11 |  | 0 | 0 | 0 | 0 |
12 |  | 0 | 0 | 0 | 0 | 12 |  | 0 | 0 | 0 | 0 | 12 |  | 0 | 0 | 0 | 0 | 12 |  | 0 | 0 | 0 | 0 |
13 |  | 0 | 0 | 0 | 0 | 13 |  | 0 | 0 | 0 | 0 | 13 |  | 0 | 0 | 0 | 0 | 13 |  | 0 | 0 | 0 | 0 |
Simulated probabilities of honor point numbers in each hand
| | N | S | E | W |
0 | | 0.00 | 0.00 | 0.00 | 0.00 |
1 | | 0.01 | 0.01 | 0.01 | 0.01 |
2 | | 0.01 | 0.01 | 0.01 | 0.01 |
3 | | 0.02 | 0.02 | 0.02 | 0.02 |
4 | | 0.04 | 0.04 | 0.04 | 0.04 |
5 | | 0.05 | 0.05 | 0.05 | 0.05 |
6 | | 0.07 | 0.07 | 0.06 | 0.07 |
7 | | 0.08 | 0.08 | 0.08 | 0.08 |
8 | | 0.09 | 0.09 | 0.09 | 0.09 |
9 | | 0.09 | 0.09 | 0.09 | 0.09 |
10 | | 0.09 | 0.09 | 0.09 | 0.09 |
11 | | 0.09 | 0.09 | 0.09 | 0.09 |
12 | | 0.08 | 0.08 | 0.08 | 0.08 |
13 | | 0.07 | 0.07 | 0.07 | 0.07 |
14 | | 0.06 | 0.06 | 0.06 | 0.06 |
15 | | 0.04 | 0.04 | 0.04 | 0.04 |
16 | | 0.03 | 0.03 | 0.03 | 0.03 |
17 | | 0.02 | 0.02 | 0.02 | 0.02 |
18 | | 0.02 | 0.02 | 0.02 | 0.02 |
19 | | 0.01 | 0.01 | 0.01 | 0.01 |
20 | | 0.01 | 0.01 | 0.01 | 0.01 |
21 | | 0.00 | 0.00 | 0.00 | 0.00 |
22 | | 0.00 | 0.00 | 0.00 | 0.00 |
23 | | 0.00 | 0.00 | 0.00 | 0.00 |
24 | | 0.00 | 0.00 | 0.00 | 0.00 |
25 | | 0.00 | 0.00 | 0.00 | 0.00 |
26 | | 0.00 | 0.00 | 0.00 | 0.00 |
27 | | 0.00 | 0.00 | 0.00 | 0.00 |
28 | | 0.00 | 0.00 | 0.00 | 0.00 |
29 | | 0.00 | 0.00 | 0.00 | 0 |
30 | | 0.00 | 0.00 | 0 | 0 |
31 | | 0 | 0 | 0 | 0 |
32 | | 0 | 0 | 0 | 0 |
33 | | 0 | 0 | 0 | 0 |
34 | | 0 | 0 | 0 | 0 |
35 | | 0 | 0 | 0 | 0 |
36 | | 0 | 0 | 0 | 0 |
37 | | 0 | 0 | 0 | 0 |
38 | | 0 | 0 | 0 | 0 |
39 | | 0 | 0 | 0 | 0 |
40 | | 0 | 0 | 0 | 0 |
Simulated sample distributions
1
| N |
| S |
| E |
| W |
 | QJ532 |
 | A8 |
 | T4 |
 | K976 |
 | JT |
 | AK64 |
 | Q53 |
 | 9872 |
 | A742 |
 | Q865 |
 | KT9 |
 | J3 |
 | 85 |
 | Q74 |
 | KJ932 |
 | AT6 |
2
| N |
| S |
| E |
| W |
 | QT52 |
 | 986 |
 | A3 |
 | KJ74 |
 | 7 |
 | KJ842 |
 | A953 |
 | QT6 |
 | QT73 |
 | 6 |
 | AK852 |
 | J94 |
 | AJ94 |
 | 8632 |
 | Q5 |
 | KT7 |
3
| N |
| S |
| E |
| W |
 | A |
 | KJ64 |
 | T8753 |
 | Q92 |
 | KQT863 |
 | A |
 | 92 |
 | J754 |
 | A3 |
 | K98652 |
 | 74 |
 | QJT |
 | QJ65 |
 | 93 |
 | T872 |
 | AK4 |
4
| N |
| S |
| E |
| W |
 | K953 |
 | T76 |
 | J842 |
 | AQ |
 | J |
 | QT952 |
 | K83 |
 | A764 |
 | K64 |
 | 983 |
 | J752 |
 | AQT |
 | K8652 |
 | 97 |
 | Q3 |
 | AJT4 |
5
| N |
| S |
| E |
| W |
 | 543 |
 | K97 |
 | AJ6 |
 | QT82 |
 | A6 |
 | QJ |
 | KT9872 |
 | 543 |
 | T9753 |
 | AK |
 | Q64 |
 | J82 |
 | 985 |
 | AKJT64 |
 | 3 |
 | Q72 |
6
| N |
| S |
| E |
| W |
 | J62 |
 | K987 |
 | AT5 |
 | Q43 |
 | T6 |
 | 32 |
 | AKJ98 |
 | Q754 |
 | AQT874 |
 | J92 |
 | K |
 | 653 |
 | 64 |
 | KQJ9 |
 | 8753 |
 | AT2 |
7
| N |
| S |
| E |
| W |
 | 4 |
 | J953 |
 | AKQT7 |
 | 862 |
 | KT65 |
 | AJ |
 | 92 |
 | Q8743 |
 | QJ86 |
 | K7432 |
 | T95 |
 | A |
 | QT53 |
 | 84 |
 | AK9 |
 | J762 |
8
| N |
| S |
| E |
| W |
 | T8 |
 | AKJ942 |
 | 653 |
 | Q7 |
 | T984 |
 | AK |
 | Q752 |
 | J63 |
 | JT43 |
 | 86 |
 | A2 |
 | KQ975 |
 | 652 |
 | KQ8 |
 | A974 |
 | JT3 |
9
| N |
| S |
| E |
| W |
 | Q93 |
 | A764 |
 | KJT8 |
 | 52 |
 | KT8 |
 | 97 |
 | A3 |
 | QJ6542 |
 | 6 |
 | AQJT84 |
 | K9752 |
 | 3 |
 | T98532 |
 | Q |
 | KJ |
 | A764 |
10
| N |
| S |
| E |
| W |
 | 7 |
 | AKQ |
 | T632 |
 | J9854 |
 | JT5 |
 | A732 |
 | KQ |
 | 9864 |
 | AQJ94 |
 | 3 |
 | KT8 |
 | 7652 |
 | K942 |
 | AQJ86 |
 | T753 |
 | |
Found 100000 distributions from 100000 tries