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 | 0.20 | 0.20 | 2 |  | 0.21 | 0.20 | 0.20 | 0.20 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.20 | 0.21 | 0.21 |
| 3 |  | 0.29 | 0.29 | 0.29 | 0.29 | 3 |  | 0.28 | 0.29 | 0.29 | 0.29 | 3 |  | 0.29 | 0.29 | 0.28 | 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 |  | 0.13 | 0.12 | 0.13 | 0.12 | 5 |  | 0.12 | 0.12 | 0.12 | 0.13 | 5 |  | 0.13 | 0.12 | 0.12 | 0.12 | 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 | 0 | 0.00 | 10 |  | 0.00 | 0.00 | 0 | 0 | 10 |  | 0 | 0.00 | 0.00 | 0.00 | 10 |  | 0 | 0 | 0.00 | 0 |
| 11 |  | 0 | 0 | 0.00 | 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 | 0.03 |
| 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 | 0.10 | 0.09 | 0.10 |
| 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 | | 0.00 | 0.00 | 0 | 0.00 |
| 29 | | 0 | 0.00 | 0.00 | 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 |
 | K9 |
 | Q632 |
 | JT8754 |
 | A |
 | 2 |
 | AQT74 |
 | J985 |
 | K63 |
 | AQJT9875 |
 | 2 |
 | 64 |
 | K3 |
 | T3 |
 | 654 |
 | A |
 | KQJ9872 |
2
| N |
| S |
| E |
| W |
 | AJ84 |
 | 62 |
 | KQ9 |
 | T753 |
 | A72 |
 | KJT |
 | 865 |
 | Q943 |
 | 964 |
 | A5 |
 | KQT3 |
 | J872 |
 | AK9 |
 | J65432 |
 | QT7 |
 | 8 |
3
| N |
| S |
| E |
| W |
 | A5 |
 | 6 |
 | QJT872 |
 | K943 |
 | AQJ42 |
 | 87 |
 | 96 |
 | KT53 |
 | T8 |
 | AKJ976532 |
 | |
 | Q4 |
 | AJ95 |
 | 4 |
 | KT863 |
 | Q72 |
4
| N |
| S |
| E |
| W |
 | 96 |
 | AQJ8 |
 | T7542 |
 | K3 |
 | AKQ32 |
 | JT7 |
 | 86 |
 | 954 |
 | K3 |
 | A862 |
 | T4 |
 | QJ975 |
 | AQ43 |
 | T7 |
 | KJ62 |
 | 985 |
5
| N |
| S |
| E |
| W |
 | 82 |
 | T75 |
 | QJ93 |
 | AK64 |
 | 82 |
 | Q974 |
 | J53 |
 | AKT6 |
 | AT965 |
 | J |
 | KQ842 |
 | 73 |
 | J753 |
 | AK984 |
 | 2 |
 | QT6 |
6
| N |
| S |
| E |
| W |
 | 6 |
 | AK42 |
 | 5 |
 | QJT9873 |
 | 8752 |
 | K64 |
 | AQ93 |
 | JT |
 | AJ74 |
 | QT5 |
 | K8632 |
 | 9 |
 | J962 |
 | K83 |
 | A74 |
 | QT5 |
7
| N |
| S |
| E |
| W |
 | A75432 |
 | Q |
 | J98 |
 | KT6 |
 | T76 |
 | AQ985 |
 | K4 |
 | J32 |
 | Q3 |
 | KT87 |
 | J652 |
 | A94 |
 | K8 |
 | Q74 |
 | JT95 |
 | A632 |
8
| N |
| S |
| E |
| W |
 | 97 |
 | K54 |
 | Q63 |
 | AJT82 |
 | KQT54 |
 | J986 |
 | A73 |
 | 2 |
 | 8 |
 | K53 |
 | AJ976 |
 | QT42 |
 | AT764 |
 | KJ5 |
 | 83 |
 | Q92 |
9
| N |
| S |
| E |
| W |
 | QT976 |
 | K85 |
 | J4 |
 | A32 |
 | 82 |
 | Q7643 |
 | AJT95 |
 | K |
 | AK93 |
 | J52 |
 | T8 |
 | Q764 |
 | AQ |
 | 64 |
 | J853 |
 | KT972 |
10
| N |
| S |
| E |
| W |
 | J976 |
 | 854 |
 | AKQ32 |
 | T |
 | AJ4 |
 | 8753 |
 | 6 |
 | KQT92 |
 | A85 |
 | J92 |
 | T63 |
 | KQ74 |
 | AJ8 |
 | 743 |
 | QT62 |
 | K95 |
Found 100000 distributions from 100000 tries