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 | 0.21 | 2 |  | 0.21 | 0.21 | 0.20 | 0.21 | 2 |  | 0.21 | 0.20 | 0.20 | 0.21 | 2 |  | 0.21 | 0.20 | 0.20 | 0.21 |
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 | 0.28 | 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 |  | 0.13 | 0.12 | 0.13 | 0.13 | 5 |  | 0.12 | 0.12 | 0.13 | 0.13 | 5 |  | 0.12 | 0.12 | 0.13 | 0.13 | 5 |  | 0.12 | 0.13 | 0.12 | 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 | 0.00 | 0 | 0 | 10 |  | 0 | 0.00 | 0 | 0 | 10 |  | 0 | 0.00 | 0 | 0.00 | 10 |  | 0 | 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 | 0.10 |
10 | | 0.09 | 0.10 | 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 | 0.04 |
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 | | 0.00 | 0.00 | 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 |
 | AQ542 |
 | K873 |
 | 96 |
 | JT |
 | KJ5 |
 | |
 | A9843 |
 | QT762 |
 | K5 |
 | AQT6 |
 | J92 |
 | 8743 |
 | 975 |
 | QT643 |
 | A82 |
 | KJ |
2
| N |
| S |
| E |
| W |
 | AJ987 |
 | Q4 |
 | 32 |
 | KT65 |
 | 5 |
 | AJT6 |
 | Q9843 |
 | K72 |
 | AK853 |
 | T976 |
 | 2 |
 | QJ4 |
 | 86 |
 | AQ7 |
 | KT952 |
 | J43 |
3
| N |
| S |
| E |
| W |
 | J83 |
 | Q7 |
 | AT965 |
 | K42 |
 | T65 |
 | AQ4 |
 | K3 |
 | J9872 |
 | AKQ9 |
 | J85 |
 | 62 |
 | T743 |
 | 932 |
 | J8764 |
 | AKQ5 |
 | T |
4
| N |
| S |
| E |
| W |
 | AKT87 |
 | Q92 |
 | J654 |
 | 3 |
 | T7 |
 | A8632 |
 | Q |
 | KJ954 |
 | T843 |
 | Q96 |
 | AK5 |
 | J72 |
 | 96 |
 | Q7 |
 | AKJ82 |
 | T543 |
5
| N |
| S |
| E |
| W |
 | 742 |
 | QJ85 |
 | AT963 |
 | K |
 | 3 |
 | KJT742 |
 | Q |
 | A9865 |
 | T9742 |
 | 6 |
 | Q85 |
 | AKJ3 |
 | T642 |
 | J9 |
 | K853 |
 | AQ7 |
6
| N |
| S |
| E |
| W |
 | K875 |
 | T6 |
 | AQJ93 |
 | 42 |
 | QT73 |
 | J94 |
 | AK5 |
 | 862 |
 | 7 |
 | KQT |
 | 8653 |
 | AJ942 |
 | Q653 |
 | T9742 |
 | 8 |
 | AKJ |
7
| N |
| S |
| E |
| W |
 | 97 |
 | AQJ2 |
 | T63 |
 | K854 |
 | |
 | AT92 |
 | KQ76 |
 | J8543 |
 | KJ8754 |
 | AT9 |
 | Q632 |
 | |
 | J7532 |
 | T4 |
 | AK |
 | Q986 |
8
| N |
| S |
| E |
| W |
 | AK |
 | T983 |
 | Q7642 |
 | J5 |
 | AT63 |
 | Q972 |
 | K85 |
 | J4 |
 | 52 |
 | 97 |
 | AKQJ |
 | T8643 |
 | AQT97 |
 | KJ5 |
 | 3 |
 | 8642 |
9
| N |
| S |
| E |
| W |
 | T9 |
 | AJ5 |
 | KQ86 |
 | 7432 |
 | 32 |
 | AJT85 |
 | Q9 |
 | K764 |
 | AK43 |
 | T962 |
 | Q87 |
 | J5 |
 | T9743 |
 | 8 |
 | AK52 |
 | QJ6 |
10
| N |
| S |
| E |
| W |
 | AJT7 |
 | K853 |
 | 964 |
 | Q2 |
 | A |
 | K9765 |
 | T32 |
 | QJ84 |
 | J97 |
 | A83 |
 | 642 |
 | KQT5 |
 | K9832 |
 | 6 |
 | AQJT |
 | 754 |
Found 100000 distributions from 100000 tries