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 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.20 | 0.21 | 0.21 | 2 |  | 0.21 | 0.21 | 0.20 | 0.21 |
| 3 |  | 0.28 | 0.29 | 0.29 | 0.29 | 3 |  | 0.28 | 0.29 | 0.28 | 0.29 | 3 |  | 0.29 | 0.28 | 0.29 | 0.29 | 3 |  | 0.29 | 0.28 | 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 |  | 0.12 | 0.12 | 0.12 | 0.12 | 5 |  | 0.12 | 0.12 | 0.13 | 0.12 | 5 |  | 0.12 | 0.13 | 0.12 | 0.12 | 5 |  | 0.13 | 0.12 | 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 |  | 0.00 | 0 | 0 | 0 | 10 |  | 0 | 0.00 | 0 | 0 | 10 |  | 0 | 0 | 0 | 0.00 | 10 |  | 0 | 0.00 | 0.00 | 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 | | 0.03 | 0.02 | 0.02 | 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 | 0.06 | 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 | 0.05 | 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 | 0.00 |
| 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 |
 | AJ7 |
 | Q64 |
 | T952 |
 | K83 |
 | 74 |
 | J953 |
 | KQ86 |
 | AT2 |
 | AT862 |
 | Q753 |
 | |
 | KJ94 |
 | A75 |
 | QJ |
 | KT632 |
 | 984 |
2
| N |
| S |
| E |
| W |
 | AJ975 |
 | 83 |
 | 642 |
 | KQT |
 | T7 |
 | J6532 |
 | AQ |
 | K984 |
 | 87 |
 | QJ64 |
 | KT93 |
 | A52 |
 | AKQJ |
 | T7 |
 | 8652 |
 | 943 |
3
| N |
| S |
| E |
| W |
 | KT9 |
 | AQ4 |
 | J75 |
 | 8632 |
 | AT84 |
 | 932 |
 | Q7 |
 | KJ65 |
 | 63 |
 | T92 |
 | AKJ854 |
 | Q7 |
 | 9853 |
 | JT64 |
 | Q2 |
 | AK7 |
4
| N |
| S |
| E |
| W |
 | AQ853 |
 | JT62 |
 | 4 |
 | K97 |
 | A8 |
 | K |
 | J9643 |
 | QT752 |
 | QJ2 |
 | AKT63 |
 | 874 |
 | 95 |
 | KT5 |
 | QJ4 |
 | A862 |
 | 973 |
5
| N |
| S |
| E |
| W |
 | AQJ42 |
 | T87653 |
 | K9 |
 | |
 | J9653 |
 | Q74 |
 | A2 |
 | KT8 |
 | 73 |
 | JT9 |
 | 842 |
 | AKQ65 |
 | 9 |
 | 2 |
 | QJT865 |
 | AK743 |
6
| N |
| S |
| E |
| W |
 | T652 |
 | A73 |
 | KQ98 |
 | J4 |
 | Q53 |
 | KT6 |
 | 98742 |
 | AJ |
 | Q6 |
 | 84 |
 | T9 |
 | AKJ7532 |
 | JT42 |
 | Q8753 |
 | AK |
 | 96 |
7
| N |
| S |
| E |
| W |
 | J9 |
 | K7653 |
 | AQ8 |
 | T42 |
 | KJ94 |
 | T8 |
 | Q52 |
 | A763 |
 | T653 |
 | A8 |
 | Q742 |
 | KJ9 |
 | 754 |
 | QJT3 |
 | A82 |
 | K96 |
8
| N |
| S |
| E |
| W |
 | Q854 |
 | KJ3 |
 | T2 |
 | A976 |
 | QJ76 |
 | K932 |
 | 854 |
 | AT |
 | 2 |
 | AKT4 |
 | J8765 |
 | Q93 |
 | KQ65 |
 | T4 |
 | J32 |
 | A987 |
9
| N |
| S |
| E |
| W |
 | QT876 |
 | J4 |
 | A32 |
 | K95 |
 | 72 |
 | KJ43 |
 | A98 |
 | QT65 |
 | A843 |
 | J9 |
 | QT652 |
 | K7 |
 | T2 |
 | KQ975 |
 | A8 |
 | J643 |
10
| N |
| S |
| E |
| W |
 | T854 |
 | KJ63 |
 | A92 |
 | Q7 |
 | J9 |
 | AK2 |
 | QT3 |
 | 87654 |
 | A42 |
 | KQ |
 | JT73 |
 | 9865 |
 | KQT4 |
 | 8765 |
 | J32 |
 | A9 |
Found 100000 distributions from 100000 tries