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 | 0.24 | A |  | 0.25 | 0.26 | 0.25 | 0.24 | A |  | 0.25 | 0.26 | 0.24 | 0.25 | A |  | 0.24 | 0.26 | 0.25 | 0.25 |
| K |  | 0.26 | 0.25 | 0.25 | 0.25 | K |  | 0.25 | 0.25 | 0.25 | 0.25 | K |  | 0.25 | 0.26 | 0.25 | 0.25 | K |  | 0.25 | 0.24 | 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 | 0.26 | 0.24 | 0.25 | Q |  | 0.25 | 0.25 | 0.25 | 0.25 |
| J |  | 0.24 | 0.24 | 0.25 | 0.26 | J |  | 0.25 | 0.24 | 0.25 | 0.25 | J |  | 0.25 | 0.25 | 0.24 | 0.25 | J |  | 0.25 | 0.23 | 0.26 | 0.25 |
| T |  | 0.24 | 0.26 | 0.24 | 0.26 | T |  | 0.25 | 0.25 | 0.25 | 0.25 | T |  | 0.25 | 0.25 | 0.25 | 0.24 | T |  | 0.25 | 0.25 | 0.26 | 0.25 |
| 9 |  | 0.25 | 0.25 | 0.26 | 0.24 | 9 |  | 0.24 | 0.25 | 0.25 | 0.26 | 9 |  | 0.24 | 0.26 | 0.25 | 0.25 | 9 |  | 0.25 | 0.26 | 0.25 | 0.25 |
| 8 |  | 0.25 | 0.25 | 0.25 | 0.25 | 8 |  | 0.25 | 0.25 | 0.25 | 0.26 | 8 |  | 0.25 | 0.25 | 0.25 | 0.25 | 8 |  | 0.25 | 0.25 | 0.25 | 0.25 |
| 7 |  | 0.26 | 0.25 | 0.25 | 0.25 | 7 |  | 0.25 | 0.25 | 0.25 | 0.25 | 7 |  | 0.24 | 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 | 0.24 | 0.25 | 0.25 | 6 |  | 0.25 | 0.25 | 0.25 | 0.25 |
| 5 |  | 0.25 | 0.24 | 0.25 | 0.26 | 5 |  | 0.25 | 0.25 | 0.25 | 0.25 | 5 |  | 0.25 | 0.26 | 0.25 | 0.25 | 5 |  | 0.25 | 0.25 | 0.26 | 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 |  | 0.26 | 0.25 | 0.25 | 0.25 |
| 3 |  | 0.25 | 0.26 | 0.25 | 0.24 | 3 |  | 0.25 | 0.25 | 0.25 | 0.25 | 3 |  | 0.25 | 0.25 | 0.26 | 0.24 | 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 | 0.24 | 0.25 | 0.26 | 2 |  | 0.25 | 0.24 | 0.25 | 0.26 |
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 |  | 0.02 | 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 | 0.09 | 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 | 0.20 | 0.21 | 2 |  | 0.21 | 0.20 | 0.21 | 0.20 | 2 |  | 0.20 | 0.21 | 0.20 | 0.21 |
| 3 |  | 0.29 | 0.29 | 0.29 | 0.28 | 3 |  | 0.28 | 0.29 | 0.29 | 0.29 | 3 |  | 0.28 | 0.28 | 0.28 | 0.30 | 3 |  | 0.29 | 0.29 | 0.28 | 0.28 |
| 4 |  | 0.24 | 0.24 | 0.24 | 0.24 | 4 |  | 0.24 | 0.24 | 0.24 | 0.23 | 4 |  | 0.24 | 0.24 | 0.24 | 0.24 | 4 |  | 0.23 | 0.24 | 0.24 | 0.24 |
| 5 |  | 0.12 | 0.13 | 0.13 | 0.13 | 5 |  | 0.13 | 0.12 | 0.12 | 0.13 | 5 |  | 0.13 | 0.13 | 0.12 | 0.12 | 5 |  | 0.13 | 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 | 0.00 | 0 | 0.00 | 9 |  | 0.00 | 0.00 | 0 | 0 | 9 |  | 0 | 0.00 | 0.00 | 0 | 9 |  | 0.00 | 0 | 0.00 | 0 |
| 10 |  | 0 | 0 | 0 | 0 | 10 |  | 0 | 0 | 0 | 0 | 10 |  | 0 | 0 | 0 | 0.00 | 10 |  | 0 | 0 | 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 | | 0.06 | 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 | | 0.10 | 0.09 | 0.09 | 0.10 |
| 10 | | 0.10 | 0.09 | 0.10 | 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 | | 0.05 | 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 | 0.00 | 0.01 |
| 21 | | 0.00 | 0.00 | 0.01 | 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 | 0.00 | 0.00 | 0.00 |
| 26 | | 0.00 | 0.00 | 0.00 | 0.00 |
| 27 | | 0 | 0 | 0.00 | 0 |
| 28 | | 0 | 0 | 0 | 0 |
| 29 | | 0 | 0 | 0 | 0 |
| 30 | | 0 | 0 | 0.00 | 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 |
 | KJ432 |
 | A87 |
 | QT5 |
 | 96 |
 | 3 |
 | KT75 |
 | AQ96 |
 | J842 |
 | JT64 |
 | K5 |
 | Q987 |
 | A32 |
 | T86 |
 | KQ75 |
 | 92 |
 | AJ43 |
2
| N |
| S |
| E |
| W |
 | AJT |
 | 62 |
 | K87 |
 | Q9543 |
 | 32 |
 | QJ854 |
 | KT97 |
 | A6 |
 | JT53 |
 | AK642 |
 | 98 |
 | Q7 |
 | Q953 |
 | 8 |
 | K764 |
 | AJT2 |
3
| N |
| S |
| E |
| W |
 | |
 | AKT98 |
 | 7653 |
 | QJ42 |
 | 8 |
 | JT2 |
 | AQ7653 |
 | K94 |
 | 876 |
 | AQT95 |
 | J43 |
 | K2 |
 | AKQJ98653 |
 | |
 | |
 | T742 |
4
| N |
| S |
| E |
| W |
 | AKT |
 | 5 |
 | J973 |
 | Q8642 |
 | J |
 | T75 |
 | Q962 |
 | AK843 |
 | AQT74 |
 | K93 |
 | 852 |
 | J6 |
 | Q963 |
 | AJ8542 |
 | T7 |
 | K |
5
| N |
| S |
| E |
| W |
 | T76 |
 | 853 |
 | KQ2 |
 | AJ94 |
 | 42 |
 | J7 |
 | QT83 |
 | AK965 |
 | KT52 |
 | AQ987 |
 | J43 |
 | 6 |
 | KJ86 |
 | 942 |
 | 753 |
 | AQT |
6
| N |
| S |
| E |
| W |
 | 9874 |
 | KQ5 |
 | |
 | AJT632 |
 | KT83 |
 | A9 |
 | J654 |
 | Q72 |
 | 8 |
 | KQ542 |
 | AT976 |
 | J3 |
 | K953 |
 | T62 |
 | QJ74 |
 | A8 |
7
| N |
| S |
| E |
| W |
 | 92 |
 | 76 |
 | AJ8543 |
 | KQT |
 | Q3 |
 | KJ75 |
 | A982 |
 | T64 |
 | J53 |
 | AT864 |
 | 9 |
 | KQ72 |
 | QJ9875 |
 | A4 |
 | T6 |
 | K32 |
8
| N |
| S |
| E |
| W |
 | Q |
 | KT2 |
 | 98765 |
 | AJ43 |
 | Q2 |
 | AKT5 |
 | J763 |
 | 984 |
 | AT653 |
 | 872 |
 | Q9 |
 | KJ4 |
 | J7642 |
 | KQ3 |
 | T5 |
 | A98 |
9
| N |
| S |
| E |
| W |
 | KJ752 |
 | Q9 |
 | AT8 |
 | 643 |
 | A4 |
 | K765 |
 | 2 |
 | QJT983 |
 | J42 |
 | 983 |
 | AQT7 |
 | K65 |
 | AK2 |
 | Q543 |
 | J9876 |
 | T |
10
| N |
| S |
| E |
| W |
 | KQ952 |
 | T83 |
 | AJ6 |
 | 74 |
 | J7 |
 | KQ943 |
 | T6 |
 | A852 |
 | 43 |
 | AKT |
 | J76 |
 | Q9852 |
 | A643 |
 | T5 |
 | KQ987 |
 | J2 |
Found 10000 distributions from 10000 tries