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 | 0.20 | 0.20 | 0.21 | 2 | | 0.20 | 0.20 | 0.21 | 0.21 | 2 | | 0.21 | 0.21 | 0.20 | 0.20 | 2 | | 0.21 | 0.21 | 0.20 | 0.21 |
| 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 | 3 | | 0.29 | 0.28 | 0.29 | 0.28 |
| 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 | 0.13 | 0.13 | 0.12 | 5 | | 0.13 | 0.13 | 0.13 | 0.12 | 5 | | 0.13 | 0.12 | 0.12 | 0.12 | 5 | | 0.12 | 0.12 | 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 | 0.00 | 0 | 10 | | 0.00 | 0 | 0.00 | 0.00 | 10 | | 0 | 0 | 0.00 | 0 | 10 | | 0.00 | 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 | 0.02 | 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 | | 0.10 | 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 | | 0.06 | 0.06 | 0.06 | 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 | 0.00 |
| 29 | | 0.00 | 0 | 0 | 0 |
| 30 | | 0 | 0 | 0.00 | 0.00 |
| 31 | | 0.00 | 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 |
| K8732 |
| AQ4 |
| J |
| T965 |
| 87 |
| AK432 |
| QJT965 |
| |
| K63 |
| 52 |
| T |
| AQJ9874 |
| K52 |
| QT7 |
| J9843 |
| A6 |
2
| N |
| S |
| E |
| W |
| AJ97 |
| Q8 |
| 6542 |
| KT3 |
| Q95 |
| AT4 |
| 876 |
| KJ32 |
| 973 |
| K652 |
| Q8 |
| AJT4 |
| JT4 |
| K972 |
| AQ85 |
| 63 |
3
| N |
| S |
| E |
| W |
| AKJ3 |
| T762 |
| Q854 |
| 9 |
| J2 |
| 97 |
| AQT865 |
| K43 |
| KQT765 |
| 9832 |
| J4 |
| A |
| 2 |
| Q95 |
| 4 |
| AKJT8763 |
4
| N |
| S |
| E |
| W |
| 9863 |
| QT4 |
| K72 |
| AJ5 |
| 654 |
| 2 |
| KJ973 |
| AQT8 |
| KJ9 |
| QT732 |
| 64 |
| A85 |
| Q72 |
| KT86 |
| J94 |
| A53 |
5
| N |
| S |
| E |
| W |
| KT |
| J85 |
| AQ76 |
| 9432 |
| J86 |
| T3 |
| K542 |
| AQ97 |
| KJ6 |
| 742 |
| AQ95 |
| T83 |
| K8763 |
| JT952 |
| 4 |
| AQ |
6
| N |
| S |
| E |
| W |
| Q9432 |
| JT7 |
| 85 |
| AK6 |
| T82 |
| 4 |
| AQ965 |
| KJ73 |
| Q42 |
| J8 |
| 96 |
| AKT753 |
| 52 |
| QJT7643 |
| AK98 |
| |
7
| N |
| S |
| E |
| W |
| JT8 |
| 3 |
| K972 |
| AQ654 |
| J82 |
| AK96 |
| T753 |
| Q4 |
| KQ943 |
| 752 |
| A6 |
| JT8 |
| T6 |
| A9873 |
| K52 |
| QJ4 |
8
| N |
| S |
| E |
| W |
| KT9 |
| J7542 |
| AQ8 |
| 63 |
| 84 |
| A62 |
| J3 |
| KQT975 |
| AQJ97 |
| 32 |
| KT86 |
| 54 |
| 832 |
| AK9 |
| JT75 |
| Q64 |
9
| N |
| S |
| E |
| W |
| KJ753 |
| 942 |
| |
| AQT86 |
| QJ |
| T72 |
| K643 |
| A985 |
| 983 |
| QJ5 |
| AKT764 |
| 2 |
| JT5 |
| K863 |
| Q92 |
| A74 |
10
| N |
| S |
| E |
| W |
| Q932 |
| AT8 |
| J76 |
| K54 |
| 76 |
| AQ9 |
| 43 |
| KJT852 |
| A86 |
| Q7432 |
| KJ95 |
| T |
| T752 |
| 83 |
| AQJ6 |
| K94 |
Found 100000 distributions from 100000 tries