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 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.20 | 2 |  | 0.20 | 0.21 | 0.21 | 0.20 | 2 |  | 0.20 | 0.20 | 0.20 | 0.21 |
3 |  | 0.29 | 0.29 | 0.29 | 0.29 | 3 |  | 0.28 | 0.29 | 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 | 0.13 | 0.13 | 0.13 | 5 |  | 0.13 | 0.12 | 0.13 | 0.12 | 5 |  | 0.12 | 0.12 | 0.12 | 0.13 | 5 |  | 0.13 | 0.13 | 0.12 | 0.12 |
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 | 0.00 | 0 | 0.00 | 10 |  | 0 | 0 | 0 | 0.00 | 10 |  | 0 | 0 | 0 | 0 | 10 |  | 0 | 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 | | 0.03 | 0.03 | 0.02 | 0.02 |
4 | | 0.04 | 0.04 | 0.04 | 0.04 |
5 | | 0.05 | 0.05 | 0.05 | 0.05 |
6 | | 0.06 | 0.07 | 0.07 | 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 | 0.00 | 0.00 | 0.00 |
29 | | 0.00 | 0.00 | 0 | 0.00 |
30 | | 0 | 0 | 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 |
 | AKQJ93 |
 | T74 |
 | 8652 |
 | |
 | A4 |
 | T75 |
 | Q98 |
 | KJ632 |
 | T83 |
 | AJ94 |
 | 62 |
 | KQ75 |
 | 92 |
 | A74 |
 | KJ63 |
 | QT85 |
2
| N |
| S |
| E |
| W |
 | Q8 |
 | 97542 |
 | AKJ3 |
 | T6 |
 | KT9854 |
 | A3 |
 | 76 |
 | QJ2 |
 | QJ5 |
 | A963 |
 | T |
 | K8742 |
 | 65 |
 | J9 |
 | KQT742 |
 | A83 |
3
| N |
| S |
| E |
| W |
 | 54 |
 | Q3 |
 | KJT987 |
 | A62 |
 | AKT654 |
 | 83 |
 | Q7 |
 | J92 |
 | 98 |
 | AJ532 |
 | QT4 |
 | K76 |
 | J42 |
 | Q965 |
 | AT |
 | K873 |
4
| N |
| S |
| E |
| W |
 | Q63 |
 | 2 |
 | AJT8 |
 | K9754 |
 | Q52 |
 | AT9 |
 | 8763 |
 | KJ4 |
 | 842 |
 | AKJ765 |
 | T9 |
 | Q3 |
 | KT75 |
 | Q93 |
 | 862 |
 | AJ4 |
5
| N |
| S |
| E |
| W |
 | J652 |
 | KQT74 |
 | 9 |
 | A83 |
 | Q43 |
 | K85 |
 | JT6 |
 | A972 |
 | AQ3 |
 | J852 |
 | T4 |
 | K976 |
 | Q74 |
 | 5 |
 | AKJT962 |
 | 83 |
6
| N |
| S |
| E |
| W |
 | AKQ4 |
 | 9876 |
 | 52 |
 | JT3 |
 | 76 |
 | 93 |
 | AT2 |
 | KQJ854 |
 | KQJT5 |
 | A43 |
 | 976 |
 | 82 |
 | A7 |
 | KQJT |
 | 98542 |
 | 63 |
7
| N |
| S |
| E |
| W |
 | 7 |
 | AKQJT53 |
 | 864 |
 | 92 |
 | 7 |
 | QT4 |
 | J96 |
 | AK8532 |
 | QJT32 |
 | 96 |
 | AK8 |
 | 754 |
 | KQJ953 |
 | 8 |
 | AT74 |
 | 62 |
8
| N |
| S |
| E |
| W |
 | 752 |
 | KQ964 |
 | AJ8 |
 | T3 |
 | KT6 |
 | 7 |
 | 432 |
 | AQJ985 |
 | T832 |
 | AQ |
 | K754 |
 | J96 |
 | QT8 |
 | AKJ94 |
 | 765 |
 | 32 |
9
| N |
| S |
| E |
| W |
 | 82 |
 | KJT |
 | 9653 |
 | AQ74 |
 | K97 |
 | J2 |
 | A63 |
 | QT854 |
 | Q54 |
 | AK32 |
 | J96 |
 | T87 |
 | AQJ74 |
 | K965 |
 | T82 |
 | 3 |
10
| N |
| S |
| E |
| W |
 | A832 |
 | QJT6 |
 | 5 |
 | K974 |
 | T73 |
 | K86 |
 | J9542 |
 | AQ |
 | A6 |
 | Q85 |
 | K942 |
 | JT73 |
 | AK94 |
 | J83 |
 | Q65 |
 | T72 |
Found 100000 distributions from 100000 tries