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 | 0.20 | 0.21 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 |
3 |  | 0.29 | 0.29 | 0.28 | 0.29 | 3 |  | 0.29 | 0.29 | 0.28 | 0.29 | 3 |  | 0.29 | 0.29 | 0.29 | 0.29 | 3 |  | 0.29 | 0.29 | 0.29 | 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 |  | 0.12 | 0.13 | 0.12 | 0.13 | 5 |  | 0.12 | 0.13 | 0.12 | 0.12 | 5 |  | 0.13 | 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 |  | 0.00 | 0 | 0 | 0.00 | 10 |  | 0 | 0.00 | 0 | 0 | 10 |  | 0 | 0 | 0.00 | 0 | 10 |  | 0.00 | 0.00 | 0 | 0 |
11 |  | 0 | 0 | 0 | 0 | 11 |  | 0 | 0.00 | 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 | 0.09 | 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 | | 0.05 | 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 | 0.00 | 0.00 |
29 | | 0.00 | 0 | 0 | 0 |
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 |
 | KJ87652 |
 | Q3 |
 | T9 |
 | A4 |
 | |
 | K943 |
 | AQJ62 |
 | T875 |
 | KQ932 |
 | JT85 |
 | 4 |
 | A76 |
 | J |
 | A87 |
 | Q6432 |
 | KT95 |
2
| N |
| S |
| E |
| W |
 | 742 |
 | T95 |
 | A863 |
 | KQJ |
 | 4 |
 | QJT5 |
 | 8763 |
 | AK92 |
 | K976 |
 | Q842 |
 | JT3 |
 | A5 |
 | QJ854 |
 | 97 |
 | K3 |
 | AT62 |
3
| N |
| S |
| E |
| W |
 | JT83 |
 | 42 |
 | Q65 |
 | AK97 |
 | 86 |
 | AQJT753 |
 | K2 |
 | 94 |
 | AQ632 |
 | J7 |
 | K94 |
 | T85 |
 | 82 |
 | Q3 |
 | KJ754 |
 | AT96 |
4
| N |
| S |
| E |
| W |
 | J |
 | T43 |
 | Q87652 |
 | AK9 |
 | AQ8 |
 | T975 |
 | 2 |
 | KJ643 |
 | AJT74 |
 | Q98 |
 | K632 |
 | 5 |
 | KQ83 |
 | J94 |
 | 72 |
 | AT65 |
5
| N |
| S |
| E |
| W |
 | T |
 | AQJ7 |
 | K32 |
 | 98654 |
 | AJT72 |
 | 43 |
 | 986 |
 | KQ5 |
 | T764 |
 | AKJ92 |
 | 3 |
 | Q85 |
 | 942 |
 | T8 |
 | AQJ763 |
 | K5 |
6
| N |
| S |
| E |
| W |
 | T |
 | Q8542 |
 | KJ93 |
 | A76 |
 | AJ732 |
 | K |
 | Q5 |
 | T9864 |
 | A32 |
 | KJ74 |
 | T6 |
 | Q985 |
 | Q852 |
 | T74 |
 | AJ963 |
 | K |
7
| N |
| S |
| E |
| W |
 | 5 |
 | J632 |
 | AK84 |
 | QT97 |
 | K853 |
 | AT2 |
 | J96 |
 | Q74 |
 | A75 |
 | QJT2 |
 | K864 |
 | 93 |
 | AJ654 |
 | T7 |
 | 83 |
 | KQ92 |
8
| N |
| S |
| E |
| W |
 | AJ63 |
 | KQ82 |
 | 54 |
 | T97 |
 | 32 |
 | AK94 |
 | JT87 |
 | Q65 |
 | AQ96 |
 | 54 |
 | JT832 |
 | K7 |
 | AK3 |
 | 952 |
 | JT |
 | Q8764 |
9
| N |
| S |
| E |
| W |
 | QT53 |
 | KJ8 |
 | A2 |
 | 9764 |
 | AQ83 |
 | K2 |
 | JT54 |
 | 976 |
 | A52 |
 | KT3 |
 | Q984 |
 | J76 |
 | KT |
 | AQJ42 |
 | 963 |
 | 875 |
10
| N |
| S |
| E |
| W |
 | 5 |
 | AQ83 |
 | J7 |
 | KT9642 |
 | K32 |
 | 76 |
 | QJT9854 |
 | A |
 | T982 |
 | AKQ64 |
 | 3 |
 | J75 |
 | KQ865 |
 | 32 |
 | A97 |
 | JT4 |
Found 100000 distributions from 100000 tries