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 | 0.20 | 2 |  | 0.21 | 0.20 | 0.21 | 0.20 | 2 |  | 0.21 | 0.21 | 0.20 | 0.20 | 2 |  | 0.21 | 0.21 | 0.20 | 0.21 |
| 3 |  | 0.28 | 0.28 | 0.28 | 0.29 | 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 | 0.29 |
| 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 | 0.12 | 0.12 | 5 |  | 0.12 | 0.12 | 0.13 | 0.13 | 5 |  | 0.12 | 0.12 | 0.13 | 0.12 | 5 |  | 0.12 | 0.13 | 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 | 0 | 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 | 0.00 | 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 | | 0.03 | 0.02 | 0.03 | 0.02 |
| 4 | | 0.04 | 0.04 | 0.04 | 0.04 |
| 5 | | 0.05 | 0.05 | 0.05 | 0.05 |
| 6 | | 0.06 | 0.06 | 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 | 0.05 | 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 | 0.00 | 0.00 | 0.00 |
| 29 | | 0.00 | 0.00 | 0.00 | 0 |
| 30 | | 0.00 | 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 |
 | A |
 | KT87 |
 | Q643 |
 | J952 |
 | AKJ75 |
 | 64 |
 | Q982 |
 | T3 |
 | T54 |
 | AJ7 |
 | Q93 |
 | K862 |
 | AT76 |
 | KJ52 |
 | 83 |
 | Q94 |
2
| N |
| S |
| E |
| W |
 | 963 |
 | 7 |
 | KQT54 |
 | AJ82 |
 | K42 |
 | Q7653 |
 | A9 |
 | JT8 |
 | J54 |
 | K6 |
 | AT8 |
 | Q9732 |
 | QJT5 |
 | K8742 |
 | 963 |
 | A |
3
| N |
| S |
| E |
| W |
 | KJ |
 | A87 |
 | Q9642 |
 | T53 |
 | AJ2 |
 | K9 |
 | Q75 |
 | T8643 |
 | Q52 |
 | 986 |
 | AJ73 |
 | KT4 |
 | AJ943 |
 | KQ652 |
 | T |
 | 87 |
4
| N |
| S |
| E |
| W |
 | AJ854 |
 | KQ93 |
 | 62 |
 | T7 |
 | T7 |
 | K85 |
 | J96432 |
 | AQ |
 | 97 |
 | Q |
 | KT43 |
 | AJ8652 |
 | AQ54 |
 | KT863 |
 | 7 |
 | J92 |
5
| N |
| S |
| E |
| W |
 | K74 |
 | AJ6 |
 | 983 |
 | QT52 |
 | 872 |
 | T |
 | AK543 |
 | QJ96 |
 | Q6 |
 | A8532 |
 | KT4 |
 | J97 |
 | J9853 |
 | K762 |
 | AT |
 | Q4 |
6
| N |
| S |
| E |
| W |
 | 875 |
 | AK2 |
 | 3 |
 | QJT964 |
 | T85 |
 | AK63 |
 | J742 |
 | Q9 |
 | J653 |
 | K97 |
 | AQT84 |
 | 2 |
 | J64 |
 | Q85 |
 | A92 |
 | KT73 |
7
| N |
| S |
| E |
| W |
 | Q954 |
 | T32 |
 | AJ76 |
 | K8 |
 | K2 |
 | 7 |
 | AT843 |
 | QJ965 |
 | QJ |
 | A97654 |
 | KT3 |
 | 82 |
 | KQT96 |
 | A83 |
 | 5 |
 | J742 |
8
| N |
| S |
| E |
| W |
 | A95 |
 | KQ6 |
 | JT42 |
 | 873 |
 | KT9 |
 | QJ432 |
 | 85 |
 | A76 |
 | J6 |
 | 952 |
 | A743 |
 | KQT8 |
 | JT954 |
 | A8 |
 | K73 |
 | Q62 |
9
| N |
| S |
| E |
| W |
 | AJ7 |
 | T432 |
 | K865 |
 | Q9 |
 | QJ63 |
 | T |
 | K92 |
 | A8754 |
 | KJ |
 | A432 |
 | QT6 |
 | 9875 |
 | AQ95 |
 | KT62 |
 | 743 |
 | J8 |
10
| N |
| S |
| E |
| W |
 | AQJ76 |
 | 9832 |
 | K |
 | T54 |
 | T6 |
 | J873 |
 | AQ9542 |
 | K |
 | QT63 |
 | J2 |
 | A85 |
 | K974 |
 | A7 |
 | T84 |
 | 632 |
 | KQJ95 |
Found 100000 distributions from 100000 tries