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 | 0.21 | 0.21 | 0.21 | 2 | | 0.21 | 0.21 | 0.20 | 0.21 |
| 3 | | 0.28 | 0.29 | 0.29 | 0.29 | 3 | | 0.29 | 0.29 | 0.28 | 0.29 | 3 | | 0.29 | 0.29 | 0.29 | 0.29 | 3 | | 0.29 | 0.29 | 0.28 | 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 | | 0.13 | 0.12 | 0.12 | 0.13 | 5 | | 0.12 | 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 | 0 | 0 | 0.00 | 10 | | 0 | 0 | 0.00 | 0.00 | 10 | | 0.00 | 0 | 0 | 0.00 | 10 | | 0.00 | 0 | 0 | 0.00 |
| 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 | 0.03 | 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 | 0.06 | 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 | 0.10 | 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 | 0.00 | 0.00 | 0.00 |
| 29 | | 0.00 | 0.00 | 0 | 0 |
| 30 | | 0 | 0 | 0.00 | 0 |
| 31 | | 0 | 0.00 | 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 |
| |
| AQ8754 |
| T62 |
| KJ93 |
| K52 |
| T7 |
| AQJ86 |
| 943 |
| KQJ842 |
| 65 |
| A93 |
| T7 |
| T972 |
| J83 |
| KQ |
| A654 |
2
| N |
| S |
| E |
| W |
| A9764 |
| Q3 |
| JT8 |
| K52 |
| Q3 |
| AJT72 |
| K96 |
| 854 |
| K8 |
| Q954 |
| JT632 |
| A7 |
| A852 |
| J3 |
| T6 |
| KQ974 |
3
| N |
| S |
| E |
| W |
| 3 |
| Q9752 |
| A86 |
| KJT4 |
| AT852 |
| 43 |
| KJ976 |
| Q |
| K932 |
| JT8 |
| Q4 |
| A765 |
| KJ4 |
| T65 |
| Q97 |
| A832 |
4
| N |
| S |
| E |
| W |
| T6 |
| QJ2 |
| 543 |
| AK987 |
| AKJ87 |
| |
| Q9652 |
| T43 |
| 82 |
| AJ53 |
| QT96 |
| K74 |
| QJ72 |
| AKT654 |
| 9 |
| 83 |
5
| N |
| S |
| E |
| W |
| Q983 |
| AT62 |
| K4 |
| J75 |
| K3 |
| A98742 |
| J5 |
| QT6 |
| 762 |
| T85 |
| AJ43 |
| KQ9 |
| KT32 |
| |
| AJ764 |
| Q985 |
6
| N |
| S |
| E |
| W |
| J954 |
| T76 |
| KQ8 |
| A32 |
| A753 |
| QT86 |
| KJ |
| 942 |
| A4 |
| 753 |
| KT96 |
| QJ82 |
| 962 |
| 843 |
| AJ75 |
| KQT |
7
| N |
| S |
| E |
| W |
| |
| Q94 |
| AKJ763 |
| T852 |
| 98642 |
| K |
| J73 |
| AQT5 |
| KJ7 |
| Q8632 |
| 5 |
| AT94 |
| AKQ98 |
| J432 |
| T65 |
| 7 |
8
| N |
| S |
| E |
| W |
| J8 |
| A9642 |
| KQ5 |
| T73 |
| JT8 |
| A962 |
| Q |
| K7543 |
| Q853 |
| A6 |
| KJ9742 |
| T |
| K954 |
| A6 |
| J83 |
| QT72 |
9
| N |
| S |
| E |
| W |
| Q9754 |
| KT3 |
| A6 |
| J82 |
| Q432 |
| K97 |
| AJ6 |
| T85 |
| 93 |
| AK8 |
| QJT62 |
| 754 |
| 92 |
| JT73 |
| Q65 |
| AK84 |
10
| N |
| S |
| E |
| W |
| Q9 |
| KJ87 |
| AT3 |
| 6542 |
| 875 |
| AJ6 |
| K43 |
| QT92 |
| KJ52 |
| 764 |
| AQT9 |
| 83 |
| AK64 |
| T95 |
| Q73 |
| J82 |
Found 100000 distributions from 100000 tries