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 |  | 0.20 | 0.21 | 0.20 | 0.21 | 2 |  | 0.20 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 |
| 3 |  | 0.29 | 0.29 | 0.29 | 0.29 | 3 |  | 0.29 | 0.28 | 0.29 | 0.29 | 3 |  | 0.29 | 0.29 | 0.29 | 0.28 | 3 |  | 0.29 | 0.28 | 0.28 | 0.29 |
| 4 |  | 0.24 | 0.24 | 0.24 | 0.23 | 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 | 0.13 | 0.13 | 5 |  | 0.12 | 0.13 | 0.13 | 0.13 | 5 |  | 0.12 | 0.13 | 0.12 | 0.12 | 5 |  | 0.12 | 0.13 | 0.13 | 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 | 0.00 | 0 | 10 |  | 0 | 0 | 0 | 0.00 | 10 |  | 0.00 | 0.00 | 0 | 0.00 | 10 |  | 0.00 | 0.00 | 0 | 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 | 0.03 | 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 | 0.07 |
| 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 | 0.10 | 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 | 0.00 | 0.00 | 0 |
| 29 | | 0.00 | 0.00 | 0.00 | 0.00 |
| 30 | | 0.00 | 0.00 | 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 |
 | A63 |
 | T7 |
 | KQJ984 |
 | 52 |
 | 432 |
 | KQT9 |
 | A86 |
 | J75 |
 | KT532 |
 | 8764 |
 | J9 |
 | AQ |
 | 32 |
 | K97 |
 | J8 |
 | AQT654 |
2
| N |
| S |
| E |
| W |
 | KJ5 |
 | A87 |
 | Q642 |
 | T93 |
 | 4 |
 | 98 |
 | AQJT653 |
 | K72 |
 | KQJ97 |
 | T654 |
 | |
 | A832 |
 | Q862 |
 | K953 |
 | AJ |
 | T74 |
3
| N |
| S |
| E |
| W |
 | J953 |
 | K642 |
 | QT8 |
 | A7 |
 | JT87 |
 | 92 |
 | AKQ5 |
 | 643 |
 | A8 |
 | QT954 |
 | 62 |
 | KJ73 |
 | 643 |
 | K8 |
 | AQ52 |
 | JT97 |
4
| N |
| S |
| E |
| W |
 | AQJT2 |
 | 64 |
 | K9753 |
 | 8 |
 | A7 |
 | 32 |
 | QJT95 |
 | K864 |
 | Q94 |
 | KT765 |
 | J |
 | A832 |
 | A65 |
 | T972 |
 | 83 |
 | KQJ4 |
5
| N |
| S |
| E |
| W |
 | KJ8752 |
 | A4 |
 | 93 |
 | QT6 |
 | K3 |
 | 8754 |
 | AJT9 |
 | Q62 |
 | 753 |
 | KQJ42 |
 | A98 |
 | T6 |
 | K9 |
 | A2 |
 | Q863 |
 | JT754 |
6
| N |
| S |
| E |
| W |
 | AK5 |
 | J |
 | T863 |
 | Q9742 |
 | JT6 |
 | AQ982 |
 | K3 |
 | 754 |
 | KQ964 |
 | A732 |
 | T5 |
 | J8 |
 | Q6 |
 | AJ4 |
 | 87532 |
 | KT9 |
7
| N |
| S |
| E |
| W |
 | K76 |
 | 843 |
 | AQ52 |
 | JT9 |
 | 74 |
 | K5 |
 | Q9832 |
 | AJT6 |
 | KQT |
 | J74 |
 | 92 |
 | A8653 |
 | Q8742 |
 | AKJ96 |
 | 53 |
 | T |
8
| N |
| S |
| E |
| W |
 | AKT42 |
 | Q3 |
 | 975 |
 | J86 |
 | AK3 |
 | 94 |
 | T752 |
 | QJ86 |
 | 932 |
 | KQJ7 |
 | T854 |
 | A6 |
 | A7 |
 | K9654 |
 | 83 |
 | QJT2 |
9
| N |
| S |
| E |
| W |
 | A6 |
 | QJ94 |
 | T752 |
 | K83 |
 | K854 |
 | Q |
 | AT2 |
 | J9763 |
 | AJ9 |
 | K8732 |
 | QT6 |
 | 54 |
 | J732 |
 | AT8 |
 | Q54 |
 | K96 |
10
| N |
| S |
| E |
| W |
 | AQ |
 | KT853 |
 | 764 |
 | J92 |
 | J72 |
 | KT965 |
 | 43 |
 | AQ8 |
 | J52 |
 | 3 |
 | AKQT986 |
 | 74 |
 | AJ543 |
 | 92 |
 | K |
 | QT876 |
Found 100000 distributions from 100000 tries