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 |  | 0.26 | 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 | 0.20 | 0.21 | 2 |  | 0.20 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.20 | 0.21 | 0.20 |
3 |  | 0.29 | 0.28 | 0.29 | 0.29 | 3 |  | 0.29 | 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 | 0.12 | 0.12 | 0.13 | 5 |  | 0.12 | 0.12 | 0.13 | 0.12 | 5 |  | 0.13 | 0.12 | 0.13 | 0.12 | 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 | 0.00 | 0 | 10 |  | 0.00 | 0.00 | 0 | 0.00 | 10 |  | 0.00 | 0.00 | 0 | 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 | 0.06 | 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 | 0.10 | 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 | | 0.00 | 0.00 | 0.00 | 0.00 |
29 | | 0 | 0.00 | 0 | 0.00 |
30 | | 0 | 0 | 0.00 | 0 |
31 | | 0 | 0.00 | 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 |
 | 96 |
 | K52 |
 | A743 |
 | QJT8 |
 | K876 |
 | AT5 |
 | J92 |
 | Q43 |
 | KJ6 |
 | AT82 |
 | Q54 |
 | 973 |
 | K876 |
 | A93 |
 | QJT |
 | 542 |
2
| N |
| S |
| E |
| W |
 | K2 |
 | JT76 |
 | 943 |
 | AQ85 |
 | KQ65 |
 | A7 |
 | JT93 |
 | 842 |
 | K6 |
 | AJ872 |
 | Q9 |
 | T543 |
 | QJ753 |
 | K6 |
 | AT42 |
 | 98 |
3
| N |
| S |
| E |
| W |
 | J4 |
 | A873 |
 | KQ62 |
 | T95 |
 | A87 |
 | 43 |
 | T5 |
 | KQJ962 |
 | K9643 |
 | QJT82 |
 | 7 |
 | A5 |
 | A85 |
 | K6 |
 | T97432 |
 | QJ |
4
| N |
| S |
| E |
| W |
 | 753 |
 | 6 |
 | AQJ9 |
 | KT842 |
 | KJT2 |
 | AQ87653 |
 | 4 |
 | 9 |
 | 74 |
 | 8 |
 | AJ62 |
 | KQT953 |
 | AQ98 |
 | K652 |
 | JT73 |
 | 4 |
5
| N |
| S |
| E |
| W |
 | T86 |
 | Q7 |
 | A5 |
 | KJ9432 |
 | AJ5 |
 | 987 |
 | KQ63 |
 | T42 |
 | 974 |
 | AK53 |
 | 862 |
 | QJT |
 | 9765 |
 | KQT2 |
 | AJ83 |
 | 4 |
6
| N |
| S |
| E |
| W |
 | AJ2 |
 | Q983 |
 | T765 |
 | K4 |
 | 652 |
 | Q7 |
 | K9843 |
 | AJT |
 | AQ94 |
 | KJ765 |
 | T32 |
 | 8 |
 | 875 |
 | Q2 |
 | T |
 | AKJ9643 |
7
| N |
| S |
| E |
| W |
 | AJ87653 |
 | T94 |
 | K2 |
 | Q |
 | T6 |
 | 53 |
 | QJ9872 |
 | AK4 |
 | |
 | J87 |
 | Q4 |
 | AKT96532 |
 | 8763 |
 | AKJ54 |
 | Q92 |
 | T |
8
| N |
| S |
| E |
| W |
 | K9532 |
 | AQ7 |
 | T84 |
 | J6 |
 | A97 |
 | KT532 |
 | Q64 |
 | J8 |
 | QJ |
 | AK83 |
 | T62 |
 | 9754 |
 | K92 |
 | T |
 | Q873 |
 | AJ654 |
9
| N |
| S |
| E |
| W |
 | 96 |
 | AK854 |
 | J732 |
 | QT |
 | T32 |
 | K4 |
 | 9 |
 | AQJ8765 |
 | KJT5 |
 | A964 |
 | Q83 |
 | 72 |
 | K653 |
 | Q8 |
 | AJ942 |
 | T7 |
10
| N |
| S |
| E |
| W |
 | 983 |
 | QT764 |
 | A52 |
 | KJ |
 | Q95 |
 | AT3 |
 | J8 |
 | K7642 |
 | 93 |
 | 654 |
 | AQJT8 |
 | K72 |
 | JT943 |
 | KQ |
 | A87 |
 | 652 |
Found 100000 distributions from 100000 tries