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 | 0.20 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 | 2 |  | 0.20 | 0.21 | 0.21 | 0.21 |
3 |  | 0.29 | 0.29 | 0.28 | 0.29 | 3 |  | 0.29 | 0.29 | 0.29 | 0.28 | 3 |  | 0.29 | 0.28 | 0.28 | 0.28 | 3 |  | 0.29 | 0.29 | 0.28 | 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 | 0.13 | 0.12 | 0.13 | 5 |  | 0.12 | 0.13 | 0.12 | 0.13 | 5 |  | 0.12 | 0.13 | 0.13 | 0.12 | 5 |  | 0.13 | 0.12 | 0.13 | 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 | 10 |  | 0.00 | 0 | 0 | 0 | 10 |  | 0 | 0 | 0 | 0 | 10 |  | 0 | 0.00 | 0.00 | 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 | 0.09 | 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 | | 0.04 | 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 | 0.00 | 0 |
30 | | 0 | 0 | 0.00 | 0 |
31 | | 0 | 0 | 0 | 0.00 |
32 | | 0 | 0 | 0.00 | 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 |
 | 54 |
 | K762 |
 | T983 |
 | AQJ |
 | Q532 |
 | A7 |
 | KJ864 |
 | T9 |
 | 8632 |
 | Q4 |
 | JT |
 | AK975 |
 | J83 |
 | KQ742 |
 | T6 |
 | A95 |
2
| N |
| S |
| E |
| W |
 | T764 |
 | Q9 |
 | AJ832 |
 | K5 |
 | J6 |
 | AK832 |
 | 9 |
 | QT754 |
 | 73 |
 | AK5 |
 | QT942 |
 | J86 |
 | AKT52 |
 | 873 |
 | Q6 |
 | J94 |
3
| N |
| S |
| E |
| W |
 | J82 |
 | AQT954 |
 | 76 |
 | K3 |
 | QT97 |
 | 65 |
 | AK42 |
 | J83 |
 | |
 | JT82 |
 | 9653 |
 | AKQ74 |
 | AKQJ87 |
 | T |
 | 643 |
 | 952 |
4
| N |
| S |
| E |
| W |
 | |
 | AQ982 |
 | KJT6 |
 | 7543 |
 | AQJ974 |
 | KT5 |
 | 6 |
 | 832 |
 | AK762 |
 | QJ53 |
 | T4 |
 | 98 |
 | AK |
 | 4 |
 | QJ9762 |
 | T853 |
5
| N |
| S |
| E |
| W |
 | 5 |
 | AKT8 |
 | J943 |
 | Q762 |
 | A54 |
 | Q872 |
 | K6 |
 | JT93 |
 | KT754 |
 | 2 |
 | QJ83 |
 | A96 |
 | QT76 |
 | J932 |
 | A54 |
 | K8 |
6
| N |
| S |
| E |
| W |
 | AKT8 |
 | 5 |
 | QJ97 |
 | 6432 |
 | AQ7653 |
 | K42 |
 | T9 |
 | J8 |
 | T63 |
 | AJ82 |
 | KQ |
 | 9754 |
 | |
 | AJ832 |
 | KQ974 |
 | T65 |
7
| N |
| S |
| E |
| W |
 | Q |
 | KJ6 |
 | A98 |
 | T75432 |
 | KT8432 |
 | Q76 |
 | A5 |
 | J9 |
 | A542 |
 | KT97 |
 | QJ6 |
 | 83 |
 | 65 |
 | J32 |
 | AQ987 |
 | KT4 |
8
| N |
| S |
| E |
| W |
 | K5 |
 | 8743 |
 | J92 |
 | AQT6 |
 | KJ432 |
 | 8 |
 | AQ65 |
 | T97 |
 | JT87 |
 | Q6 |
 | K43 |
 | A952 |
 | 87 |
 | QT9632 |
 | AKJ |
 | 54 |
9
| N |
| S |
| E |
| W |
 | 4 |
 | Q973 |
 | 82 |
 | AKJT65 |
 | KQ83 |
 | J |
 | AT9754 |
 | 62 |
 | KT94 |
 | AQJ863 |
 | |
 | 752 |
 | J852 |
 | 76 |
 | KQ943 |
 | AT |
10
| N |
| S |
| E |
| W |
 | AKJ632 |
 | T7 |
 | Q5 |
 | 984 |
 | K8 |
 | QT543 |
 | 762 |
 | AJ9 |
 | 92 |
 | AK76 |
 | Q4 |
 | JT853 |
 | 852 |
 | A3 |
 | KQT974 |
 | J6 |
Found 100000 distributions from 100000 tries