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 | | 0.21 | 0.20 | 0.21 | 0.21 | 2 | | 0.20 | 0.21 | 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 | 0.28 | 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 | | 0.12 | 0.12 | 0.12 | 0.12 | 5 | | 0.12 | 0.12 | 0.13 | 0.13 | 5 | | 0.12 | 0.12 | 0.12 | 0.13 | 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 | | 0.00 | 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 | 0 | 0 | 10 | | 0 | 0.00 | 0 | 0 | 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 | 0.02 |
| 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 | 0.10 |
| 10 | | 0.09 | 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 | | 0.06 | 0.06 | 0.06 | 0.06 |
| 15 | | 0.04 | 0.04 | 0.05 | 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 | 0.00 | 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 |
| KJ |
| T75 |
| A86432 |
| Q9 |
| QJT8 |
| A3 |
| 94 |
| K7652 |
| J95 |
| T42 |
| Q8 |
| AK763 |
| AT52 |
| KJ874 |
| Q96 |
| 3 |
2
| N |
| S |
| E |
| W |
| AKQ953 |
| T7 |
| 62 |
| J84 |
| Q84 |
| JT752 |
| AK63 |
| 9 |
| 92 |
| QT |
| A43 |
| KJ8765 |
| 97 |
| AJT4 |
| KQ32 |
| 865 |
3
| N |
| S |
| E |
| W |
| 32 |
| AKQJT7 |
| 654 |
| 98 |
| A9654 |
| J |
| 32 |
| KQT87 |
| A8 |
| KJ752 |
| 643 |
| QT9 |
| AJT9 |
| 2 |
| K8754 |
| Q63 |
4
| N |
| S |
| E |
| W |
| 953 |
| AKQT |
| J72 |
| 864 |
| T9752 |
| |
| K864 |
| AQJ3 |
| KT3 |
| QJ62 |
| A94 |
| 875 |
| Q9 |
| J7653 |
| T84 |
| AK2 |
5
| N |
| S |
| E |
| W |
| AQ752 |
| T8 |
| K94 |
| J63 |
| J52 |
| AK9 |
| Q764 |
| T83 |
| T7 |
| KQ652 |
| J9 |
| A843 |
| 976 |
| 432 |
| AK85 |
| QJT |
6
| N |
| S |
| E |
| W |
| 83 |
| J94 |
| AQT52 |
| K76 |
| KJ83 |
| Q954 |
| AT2 |
| 76 |
| AT8 |
| 95 |
| Q62 |
| KJ743 |
| AT85 |
| J762 |
| K3 |
| Q94 |
7
| N |
| S |
| E |
| W |
| QT643 |
| 87 |
| K95 |
| AJ2 |
| 5 |
| AKQJT9 |
| 8762 |
| 43 |
| Q7 |
| J853 |
| K9 |
| AT642 |
| KQT32 |
| 6 |
| AJ75 |
| 984 |
8
| N |
| S |
| E |
| W |
| KQ87 |
| 2 |
| AJT64 |
| 953 |
| 65 |
| 9743 |
| AKT2 |
| QJ8 |
| A642 |
| Q853 |
| KJ |
| T97 |
| J95 |
| AT32 |
| KQ |
| 8764 |
9
| N |
| S |
| E |
| W |
| T52 |
| 73 |
| K98 |
| AQJ64 |
| KQT832 |
| A5 |
| J74 |
| 96 |
| A7 |
| 8652 |
| JT94 |
| KQ3 |
| 73 |
| KT954 |
| QJ8 |
| A62 |
10
| N |
| S |
| E |
| W |
| J94 |
| QT82 |
| AK53 |
| 76 |
| Q6 |
| 9432 |
| KJ8 |
| AT75 |
| K98652 |
| J43 |
| QT7 |
| A |
| KQ |
| 63 |
| A42 |
| JT9875 |
Found 100000 distributions from 100000 tries