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 |  | 0.20 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.21 | 0.20 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 |
3 |  | 0.29 | 0.28 | 0.29 | 0.29 | 3 |  | 0.29 | 0.29 | 0.29 | 0.28 | 3 |  | 0.28 | 0.28 | 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 |  | 0.13 | 0.12 | 0.12 | 0.13 | 5 |  | 0.12 | 0.12 | 0.13 | 0.13 | 5 |  | 0.12 | 0.13 | 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 | 0 | 0 | 0 | 10 |  | 0 | 0.00 | 0.00 | 0 | 10 |  | 0.00 | 0 | 0.00 | 0 | 10 |  | 0 | 0 | 0 | 0.00 |
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 | 0.07 | 0.07 |
7 | | 0.08 | 0.08 | 0.08 | 0.08 |
8 | | 0.09 | 0.09 | 0.09 | 0.09 |
9 | | 0.09 | 0.10 | 0.09 | 0.09 |
10 | | 0.10 | 0.09 | 0.09 | 0.10 |
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 | 0.05 |
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 | 0.00 | 0.00 |
30 | | 0 | 0 | 0 | 0.00 |
31 | | 0.00 | 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 |
 | 5 |
 | AJT83 |
 | 72 |
 | KQ964 |
 | KJ932 |
 | Q |
 | AT74 |
 | 865 |
 | KT53 |
 | 9762 |
 | A84 |
 | QJ |
 | 943 |
 | KQ7 |
 | AJ52 |
 | T86 |
2
| N |
| S |
| E |
| W |
 | KJ653 |
 | A |
 | Q9 |
 | T8742 |
 | AT9 |
 | KQJ842 |
 | 763 |
 | 5 |
 | 64 |
 | T95 |
 | AKJ873 |
 | Q2 |
 | 654 |
 | T82 |
 | Q9 |
 | AKJ73 |
3
| N |
| S |
| E |
| W |
 | 5 |
 | JT64 |
 | K2 |
 | AQ9873 |
 | KQ87 |
 | A653 |
 | 42 |
 | JT9 |
 | K73 |
 | 2 |
 | AT9864 |
 | QJ5 |
 | QJ964 |
 | AK52 |
 | T73 |
 | 8 |
4
| N |
| S |
| E |
| W |
 | 9743 |
 | A852 |
 | KJT |
 | Q6 |
 | 9 |
 | QT74 |
 | AKJ3 |
 | 8652 |
 | A52 |
 | T43 |
 | Q7 |
 | KJ986 |
 | K8752 |
 | Q3 |
 | AJT4 |
 | 96 |
5
| N |
| S |
| E |
| W |
 | 985 |
 | AK74 |
 | QJT3 |
 | 62 |
 | J763 |
 | T94 |
 | K |
 | AQ852 |
 | K96 |
 | 854 |
 | QJT2 |
 | A73 |
 | AJ6 |
 | 932 |
 | QT87 |
 | K54 |
6
| N |
| S |
| E |
| W |
 | KQ986 |
 | AJ53 |
 | T2 |
 | 74 |
 | Q |
 | AKJ8 |
 | 9762 |
 | T543 |
 | K942 |
 | 76 |
 | AJT83 |
 | Q5 |
 | J42 |
 | 753 |
 | 98 |
 | AKQT6 |
7
| N |
| S |
| E |
| W |
 | J974 |
 | QT32 |
 | 86 |
 | AK5 |
 | 8 |
 | QJ62 |
 | K97 |
 | AT543 |
 | AT976 |
 | K32 |
 | Q4 |
 | J85 |
 | K76 |
 | 43 |
 | AQJT98 |
 | 52 |
8
| N |
| S |
| E |
| W |
 | KQT72 |
 | J9654 |
 | 3 |
 | A8 |
 | AK3 |
 | J5 |
 | 8762 |
 | QT94 |
 | 972 |
 | 5 |
 | AQJ83 |
 | KT64 |
 | 87 |
 | QT432 |
 | KJ5 |
 | A96 |
9
| N |
| S |
| E |
| W |
 | AT943 |
 | KJ |
 | 752 |
 | Q86 |
 | A32 |
 | 96 |
 | KQ85 |
 | JT74 |
 | 4 |
 | JT62 |
 | AK853 |
 | Q97 |
 | K762 |
 | JT983 |
 | 4 |
 | AQ5 |
10
| N |
| S |
| E |
| W |
 | 963 |
 | JT854 |
 | KQ2 |
 | A7 |
 | JT93 |
 | A85 |
 | Q74 |
 | K62 |
 | 3 |
 | K |
 | A98754 |
 | QJT62 |
 | K9865 |
 | JT32 |
 | 7 |
 | AQ4 |
Found 100000 distributions from 100000 tries