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 | 0.20 | 0.21 | 2 | | 0.21 | 0.21 | 0.20 | 0.21 | 2 | | 0.20 | 0.21 | 0.21 | 0.21 | 2 | | 0.21 | 0.20 | 0.21 | 0.21 |
| 3 | | 0.29 | 0.29 | 0.29 | 0.29 | 3 | | 0.29 | 0.29 | 0.29 | 0.28 | 3 | | 0.29 | 0.28 | 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 | | 0.13 | 0.12 | 0.13 | 0.12 | 5 | | 0.12 | 0.13 | 0.12 | 0.13 | 5 | | 0.13 | 0.12 | 0.12 | 0.12 | 5 | | 0.12 | 0.13 | 0.12 | 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 | 0.00 | 0 | 10 | | 0.00 | 0 | 0.00 | 0 | 10 | | 0.00 | 0.00 | 0 | 0 | 10 | | 0.00 | 0 | 0 | 0.00 |
| 11 | | 0 | 0 | 0 | 0 | 11 | | 0 | 0.00 | 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 | 0.03 |
| 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 | 0.06 |
| 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 | 0.10 | 0.09 | 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 | 0.05 | 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 | 0.00 | 0.00 |
| 30 | | 0 | 0 | 0 | 0.00 |
| 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 |
| 7 |
| KJ95 |
| AT6 |
| Q8432 |
| T97 |
| K53 |
| AQJ8642 |
| |
| KQJ874 |
| T5 |
| A |
| 9632 |
| K43 |
| T986 |
| J5 |
| AQ72 |
2
| N |
| S |
| E |
| W |
| Q985 |
| 73 |
| K4 |
| AJT62 |
| AKJT |
| 87642 |
| Q953 |
| |
| KQ96 |
| AT54 |
| 72 |
| J83 |
| 5 |
| A9 |
| JT863 |
| KQ742 |
3
| N |
| S |
| E |
| W |
| QT92 |
| K643 |
| AJ5 |
| 87 |
| T |
| J873 |
| KQ9542 |
| A6 |
| AKJ96 |
| 82 |
| 53 |
| QT74 |
| K76 |
| A53 |
| T4 |
| QJ982 |
4
| N |
| S |
| E |
| W |
| A7543 |
| JT6 |
| Q982 |
| K |
| |
| KQ93 |
| A6542 |
| JT87 |
| JT9732 |
| 6 |
| Q |
| AK854 |
| JT |
| K8642 |
| A93 |
| Q75 |
5
| N |
| S |
| E |
| W |
| 9742 |
| 6 |
| AQ83 |
| KJT5 |
| A984 |
| J76 |
| KT532 |
| Q |
| J9 |
| Q865 |
| KT42 |
| A73 |
| K95 |
| QJT76 |
| |
| A8432 |
6
| N |
| S |
| E |
| W |
| A98 |
| QJ76 |
| 542 |
| KT3 |
| J985 |
| QT3 |
| K2 |
| A764 |
| J96 |
| A82 |
| 7543 |
| KQT |
| KJ8 |
| 964 |
| Q752 |
| AT3 |
7
| N |
| S |
| E |
| W |
| 8 |
| JT954 |
| AKQ3 |
| 762 |
| AKJ4 |
| 86 |
| QT73 |
| 952 |
| Q862 |
| AJ743 |
| T5 |
| K9 |
| KQ95 |
| A |
| J83 |
| T7642 |
8
| N |
| S |
| E |
| W |
| 8753 |
| K9 |
| JT4 |
| AQ62 |
| T963 |
| AKQ84 |
| 72 |
| J5 |
| QT5 |
| AJ2 |
| K763 |
| 984 |
| 42 |
| Q73 |
| AK85 |
| JT96 |
9
| N |
| S |
| E |
| W |
| 8 |
| 76 |
| AKQT52 |
| J943 |
| KQ82 |
| 965 |
| A3 |
| JT74 |
| K |
| J85 |
| T9642 |
| AQ73 |
| QT86432 |
| AK975 |
| |
| J |
10
| N |
| S |
| E |
| W |
| 92 |
| 873 |
| AQT54 |
| KJ6 |
| AKJ87 |
| 96543 |
| Q2 |
| T |
| J4 |
| 53 |
| KQT6 |
| A9872 |
| T643 |
| J52 |
| K8 |
| AQ97 |
Found 100000 distributions from 100000 tries