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 | 0.21 | 2 |  | 0.21 | 0.20 | 0.21 | 0.21 | 2 |  | 0.21 | 0.20 | 0.20 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 |
| 3 |  | 0.29 | 0.29 | 0.28 | 0.28 | 3 |  | 0.28 | 0.28 | 0.29 | 0.29 | 3 |  | 0.29 | 0.29 | 0.28 | 0.29 | 3 |  | 0.28 | 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 | 0.13 | 0.12 | 0.12 | 5 |  | 0.12 | 0.12 | 0.13 | 0.13 | 5 |  | 0.12 | 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 | 0.00 | 0 | 10 |  | 0 | 0 | 0.00 | 0.00 | 10 |  | 0 | 0 | 0 | 0 | 10 |  | 0 | 0 | 0 | 0 |
| 11 |  | 0.00 | 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 | 0.03 | 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 | 0.06 | 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 | 0.09 | 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 | 0.05 | 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 | 0 | 0.00 | 0 |
| 30 | | 0 | 0 | 0 | 0.00 |
| 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 |
 | QT |
 | J7532 |
 | K84 |
 | A96 |
 | QJ95 |
 | A76 |
 | T84 |
 | K32 |
 | 73 |
 | 642 |
 | AJ85 |
 | KQT9 |
 | Q6432 |
 | 85 |
 | AT7 |
 | KJ9 |
2
| N |
| S |
| E |
| W |
 | T62 |
 | A54 |
 | KQ3 |
 | J987 |
 | J74 |
 | 852 |
 | AQ93 |
 | KT6 |
 | A9876 |
 | KT |
 | 5432 |
 | QJ |
 | 52 |
 | AK843 |
 | Q9 |
 | JT76 |
3
| N |
| S |
| E |
| W |
 | 3 |
 | QJ765 |
 | |
 | AKT9842 |
 | 6 |
 | AKJ9 |
 | 8732 |
 | QT54 |
 | AJ87 |
 | T6 |
 | KQ953 |
 | 42 |
 | AKQ9872 |
 | 63 |
 | JT54 |
 | |
4
| N |
| S |
| E |
| W |
 | AQT5 |
 | 94 |
 | KJ2 |
 | 8763 |
 | KJ8 |
 | A92 |
 | Q7654 |
 | T3 |
 | 86 |
 | AKJT53 |
 | 74 |
 | Q92 |
 | K986 |
 | J7 |
 | 432 |
 | AQT5 |
5
| N |
| S |
| E |
| W |
 | K5 |
 | QJ42 |
 | 98 |
 | AT763 |
 | T876 |
 | Q92 |
 | 54 |
 | AKJ3 |
 | QT52 |
 | 93 |
 | AJ876 |
 | K4 |
 | J53 |
 | 9764 |
 | AQT8 |
 | K2 |
6
| N |
| S |
| E |
| W |
 | 432 |
 | AT7 |
 | KJ95 |
 | Q86 |
 | AJ |
 | 95 |
 | Q832 |
 | KT764 |
 | Q96432 |
 | KJ87 |
 | 5 |
 | AT |
 | 73 |
 | AQ62 |
 | KJT4 |
 | 985 |
7
| N |
| S |
| E |
| W |
 | J6432 |
 | 987 |
 | QT |
 | AK5 |
 | QJT8 |
 | K732 |
 | 54 |
 | A96 |
 | 83 |
 | K54 |
 | AJ762 |
 | QT9 |
 | 75 |
 | T42 |
 | AQ86 |
 | KJ93 |
8
| N |
| S |
| E |
| W |
 | K9873 |
 | A |
 | QJT52 |
 | 64 |
 | 5 |
 | AKJT74 |
 | 963 |
 | Q82 |
 | KJT976 |
 | 54 |
 | AQ |
 | 832 |
 | 4 |
 | AJ75 |
 | 932 |
 | KQT86 |
9
| N |
| S |
| E |
| W |
 | AJ98532 |
 | |
 | KQT |
 | 764 |
 | KQ |
 | A98 |
 | 7532 |
 | JT64 |
 | 6 |
 | Q752 |
 | AK93 |
 | JT84 |
 | A98 |
 | KT7632 |
 | Q5 |
 | J4 |
10
| N |
| S |
| E |
| W |
 | 5 |
 | J9842 |
 | AKQ73 |
 | T6 |
 | QJ975 |
 | 42 |
 | A6 |
 | KT83 |
 | AT8 |
 | 652 |
 | Q94 |
 | KJ73 |
 | K972 |
 | Q84 |
 | AJ6 |
 | T53 |
Found 100000 distributions from 100000 tries