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 | 0.21 | 0.21 | 2 |  | 0.21 | 0.20 | 0.21 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 |
3 |  | 0.29 | 0.29 | 0.29 | 0.29 | 3 |  | 0.29 | 0.28 | 0.29 | 0.29 | 3 |  | 0.28 | 0.29 | 0.28 | 0.28 | 3 |  | 0.29 | 0.29 | 0.28 | 0.28 |
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 |  | 0.13 | 0.12 | 0.13 | 0.12 | 5 |  | 0.13 | 0.13 | 0.13 | 0.12 | 5 |  | 0.12 | 0.12 | 0.13 | 0.12 | 5 |  | 0.12 | 0.12 | 0.13 | 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 | 0.00 | 0.00 | 10 |  | 0 | 0 | 0 | 0 | 10 |  | 0.00 | 0 | 0.00 | 0.00 | 10 |  | 0.00 | 0 | 0 | 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 | | 0.06 | 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 | 0.10 | 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 | 0.00 | 0 | 0.00 |
30 | | 0.00 | 0 | 0 | 0.00 |
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 |
 | QT7 |
 | K53 |
 | AJ96 |
 | 842 |
 | 74 |
 | AKQT8 |
 | 965 |
 | J32 |
 | 532 |
 | AT87 |
 | Q9 |
 | KJ64 |
 | AT852 |
 | 4 |
 | Q963 |
 | KJ7 |
2
| N |
| S |
| E |
| W |
 | A86 |
 | QT532 |
 | 974 |
 | KJ |
 | K3 |
 | QJ9862 |
 | A75 |
 | T4 |
 | KJ8 |
 | A5 |
 | T642 |
 | Q973 |
 | AQ865 |
 | |
 | T94 |
 | KJ732 |
3
| N |
| S |
| E |
| W |
 | K862 |
 | |
 | QT9743 |
 | AJ5 |
 | 864 |
 | A32 |
 | K97 |
 | QJT5 |
 | J732 |
 | Q984 |
 | KT6 |
 | A5 |
 | 52 |
 | AKQ873 |
 | 4 |
 | JT96 |
4
| N |
| S |
| E |
| W |
 | AQ82 |
 | J73 |
 | T96 |
 | K54 |
 | J74 |
 | KQ865 |
 | A32 |
 | T9 |
 | 876 |
 | KT4 |
 | J532 |
 | AQ9 |
 | K96 |
 | T2 |
 | A84 |
 | QJ753 |
5
| N |
| S |
| E |
| W |
 | A983 |
 | QJ765 |
 | 42 |
 | KT |
 | AKQ863 |
 | J4 |
 | 5 |
 | T972 |
 | 8 |
 | QT4 |
 | J97532 |
 | AK6 |
 | 85 |
 | 943 |
 | AKQJ |
 | T762 |
6
| N |
| S |
| E |
| W |
 | A975 |
 | 64 |
 | T2 |
 | KQJ83 |
 | T743 |
 | QJ986 |
 | 5 |
 | AK2 |
 | 876 |
 | QT93 |
 | J542 |
 | AK |
 | 85 |
 | A2 |
 | QJT763 |
 | K94 |
7
| N |
| S |
| E |
| W |
 | |
 | QT983 |
 | AKJ5 |
 | 7642 |
 | AKJ65 |
 | Q84 |
 | 92 |
 | T73 |
 | A986 |
 | J |
 | 75 |
 | KQT432 |
 | AQJ5 |
 | KT98 |
 | 76432 |
 | |
8
| N |
| S |
| E |
| W |
 | Q32 |
 | T9 |
 | KJ75 |
 | A864 |
 | KT72 |
 | Q85 |
 | A9 |
 | J643 |
 | AJ |
 | QT854 |
 | K76 |
 | 932 |
 | AQ53 |
 | KT9 |
 | 8764 |
 | J2 |
9
| N |
| S |
| E |
| W |
 | 9 |
 | AK52 |
 | JT763 |
 | Q84 |
 | A953 |
 | K |
 | QJ2 |
 | T8764 |
 | KQ32 |
 | T964 |
 | A87 |
 | J5 |
 | K953 |
 | AT86 |
 | J2 |
 | Q74 |
10
| N |
| S |
| E |
| W |
 | 3 |
 | KJ84 |
 | AQT52 |
 | 976 |
 | QJT53 |
 | 964 |
 | A7 |
 | K82 |
 | Q4 |
 | 95 |
 | 87632 |
 | AKJT |
 | QJ986 |
 | K754 |
 | T |
 | A32 |
Found 100000 distributions from 100000 tries