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 | 0.20 | 0.21 | 0.20 | 2 |  | 0.21 | 0.21 | 0.20 | 0.21 | 2 |  | 0.21 | 0.21 | 0.20 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.20 |
3 |  | 0.29 | 0.29 | 0.29 | 0.29 | 3 |  | 0.29 | 0.28 | 0.28 | 0.28 | 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 |  | 0.13 | 0.13 | 0.13 | 0.12 | 5 |  | 0.12 | 0.12 | 0.13 | 0.13 | 5 |  | 0.13 | 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 | 0 | 0 | 0 | 10 |  | 0 | 0 | 0 | 0 | 10 |  | 0.00 | 0.00 | 0 | 0.00 | 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 | 0.07 | 0.06 |
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 | | 0.10 | 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 | 0.00 |
29 | | 0.00 | 0.00 | 0.00 | 0 |
30 | | 0 | 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 |
 | QJ9542 |
 | A3 |
 | T76 |
 | K8 |
 | KQJ4 |
 | AT92 |
 | |
 | 87653 |
 | Q6 |
 | KJT9 |
 | A87542 |
 | 3 |
 | J |
 | AT8 |
 | 6543 |
 | KQ972 |
2
| N |
| S |
| E |
| W |
 | J654 |
 | Q973 |
 | KT |
 | A82 |
 | A8732 |
 | KJ |
 | T95 |
 | Q64 |
 | 3 |
 | Q9865 |
 | AKJ42 |
 | T7 |
 | AK2 |
 | J5 |
 | Q76 |
 | T9843 |
3
| N |
| S |
| E |
| W |
 | A53 |
 | Q742 |
 | KJT9 |
 | 86 |
 | Q9863 |
 | K7542 |
 | A |
 | JT |
 | KT |
 | Q73 |
 | A9862 |
 | J54 |
 | T96 |
 | 4 |
 | A72 |
 | KQJ853 |
4
| N |
| S |
| E |
| W |
 | 2 |
 | T54 |
 | AQJ7 |
 | K9863 |
 | K85 |
 | 963 |
 | A7 |
 | QJT42 |
 | JT86 |
 | A532 |
 | K74 |
 | Q9 |
 | AKQ75 |
 | J42 |
 | 9863 |
 | T |
5
| N |
| S |
| E |
| W |
 | 4 |
 | AQJ752 |
 | 963 |
 | KT8 |
 | AK8743 |
 | 9 |
 | QJ2 |
 | T65 |
 | J5 |
 | A873 |
 | T964 |
 | KQ2 |
 | Q643 |
 | 97 |
 | JT5 |
 | AK82 |
6
| N |
| S |
| E |
| W |
 | 9642 |
 | 73 |
 | A5 |
 | KQJT8 |
 | J6 |
 | QT732 |
 | K984 |
 | A5 |
 | Q753 |
 | KJ2 |
 | A94 |
 | T86 |
 | AK7 |
 | Q54 |
 | J863 |
 | T92 |
7
| N |
| S |
| E |
| W |
 | KQ |
 | 86 |
 | AJ742 |
 | T953 |
 | J986 |
 | Q43 |
 | 75 |
 | AKT2 |
 | AKJ42 |
 | Q53 |
 | 86 |
 | T97 |
 | J7 |
 | Q6432 |
 | AT95 |
 | K8 |
8
| N |
| S |
| E |
| W |
 | 863 |
 | JT5 |
 | K942 |
 | AQ7 |
 | T2 |
 | AJ83 |
 | 95 |
 | KQ764 |
 | AKQJT4 |
 | 62 |
 | 97 |
 | 853 |
 | Q7 |
 | JT98 |
 | K5432 |
 | A6 |
9
| N |
| S |
| E |
| W |
 | AQ93 |
 | T8752 |
 | K6 |
 | J4 |
 | J2 |
 | 7 |
 | AK94 |
 | QT8653 |
 | Q876 |
 | 932 |
 | JT54 |
 | AK |
 | Q83 |
 | KT54 |
 | J72 |
 | A96 |
10
| N |
| S |
| E |
| W |
 | Q |
 | K98542 |
 | T6 |
 | AJ73 |
 | 964 |
 | J8 |
 | KQT52 |
 | A73 |
 | QJT643 |
 | 97 |
 | K82 |
 | A5 |
 | A95 |
 | T83 |
 | 762 |
 | KQJ4 |
Found 100000 distributions from 100000 tries