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 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 | 2 |  | 0.20 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.20 |
| 3 |  | 0.28 | 0.29 | 0.28 | 0.29 | 3 |  | 0.28 | 0.29 | 0.29 | 0.29 | 3 |  | 0.29 | 0.28 | 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 | 0.13 | 0.12 | 5 |  | 0.12 | 0.13 | 0.12 | 0.12 | 5 |  | 0.12 | 0.13 | 0.12 | 0.12 | 5 |  | 0.13 | 0.12 | 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 |  | 0.00 | 0.00 | 0 | 0 | 10 |  | 0 | 0 | 0.00 | 0.00 | 10 |  | 0 | 0 | 0 | 0 | 10 |  | 0 | 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 | 0.03 | 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 | 0.10 |
| 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 | | 0.00 | 0.00 | 0.00 | 0.00 |
| 30 | | 0 | 0.00 | 0 | 0 |
| 31 | | 0 | 0 | 0 | 0.00 |
| 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 |
 | T9853 |
 | KQ |
 | |
 | AJ7642 |
 | K43 |
 | 6 |
 | AT752 |
 | QJ98 |
 | 8 |
 | QJ6543 |
 | KT92 |
 | A7 |
 | KT98 |
 | Q653 |
 | A742 |
 | J |
2
| N |
| S |
| E |
| W |
 | T52 |
 | Q98 |
 | AKJ743 |
 | 6 |
 | KJ82 |
 | 97 |
 | Q4 |
 | AT653 |
 | K97 |
 | 53 |
 | AJ82 |
 | QT64 |
 | Q85 |
 | AJ9763 |
 | 4 |
 | KT2 |
3
| N |
| S |
| E |
| W |
 | AJT7 |
 | K86 |
 | 93 |
 | Q542 |
 | J832 |
 | K |
 | Q7654 |
 | AT9 |
 | 976 |
 | JT842 |
 | K3 |
 | AQ5 |
 | 62 |
 | KJ93 |
 | AQ85 |
 | T74 |
4
| N |
| S |
| E |
| W |
 | 965 |
 | KQ874 |
 | AT2 |
 | J3 |
 | T875 |
 | AQ932 |
 | J |
 | K64 |
 | A97 |
 | 5 |
 | KT864 |
 | QJ32 |
 | AJ8 |
 | Q5 |
 | T972 |
 | K643 |
5
| N |
| S |
| E |
| W |
 | A432 |
 | KQJ8 |
 | T65 |
 | 97 |
 | AQ732 |
 | J4 |
 | K965 |
 | T8 |
 | 5 |
 | QJ762 |
 | 43 |
 | AKT98 |
 | J76 |
 | 94 |
 | K853 |
 | AQT2 |
6
| N |
| S |
| E |
| W |
 | AQ42 |
 | T5 |
 | 973 |
 | KJ86 |
 | A74 |
 | KT52 |
 | J63 |
 | Q98 |
 | A3 |
 | K94 |
 | Q8765 |
 | JT2 |
 | 8432 |
 | T965 |
 | Q7 |
 | AKJ |
7
| N |
| S |
| E |
| W |
 | AKQ6 |
 | 8432 |
 | T7 |
 | J95 |
 | KJ32 |
 | 976 |
 | AQ4 |
 | T85 |
 | T2 |
 | 7654 |
 | 98 |
 | AKQJ3 |
 | Q72 |
 | A9 |
 | KJ8653 |
 | T4 |
8
| N |
| S |
| E |
| W |
 | QT95432 |
 | A86 |
 | K |
 | J7 |
 | Q6 |
 | K875 |
 | JT932 |
 | A4 |
 | K8 |
 | A94 |
 | QJT2 |
 | 7653 |
 | K3 |
 | J85 |
 | QT9 |
 | A7642 |
9
| N |
| S |
| E |
| W |
 | JT8 |
 | AK92 |
 | 75 |
 | Q643 |
 | AQ53 |
 | 97 |
 | J842 |
 | KT6 |
 | KJ865 |
 | AT |
 | 72 |
 | Q943 |
 | J |
 | T9753 |
 | AK862 |
 | Q4 |
10
| N |
| S |
| E |
| W |
 | A4 |
 | T73 |
 | KQJ2 |
 | 9865 |
 | KT9 |
 | Q62 |
 | A743 |
 | J85 |
 | AQ6 |
 | KJ2 |
 | T93 |
 | 8754 |
 | T9764 |
 | AQJ5 |
 | 83 |
 | K2 |
Found 100000 distributions from 100000 tries