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 | 0.21 | 0.21 | 2 | | 0.21 | 0.21 | 0.21 | 0.20 | 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 | | 0.28 | 0.29 | 0.28 | 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 | 0.13 | 0.12 | 0.12 | 5 | | 0.12 | 0.13 | 0.12 | 0.13 | 5 | | 0.13 | 0.12 | 0.12 | 0.12 | 5 | | 0.12 | 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 | 0.00 | 0 | 0 | 10 | | 0 | 0 | 0 | 0 | 10 | | 0 | 0.00 | 0.00 | 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 | | 0.03 | 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 | 0.07 | 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 | 0.09 | 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 | 0.06 | 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 | 0.00 | 0 | 0 |
| 29 | | 0 | 0.00 | 0.00 | 0 |
| 30 | | 0 | 0 | 0 | 0 |
| 31 | | 0 | 0 | 0 | 0.00 |
| 32 | | 0.00 | 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 |
| AKQ53 |
| 96 |
| JT8 |
| 742 |
| 7 |
| AQT84 |
| K9 |
| J6532 |
| A952 |
| J7 |
| KQT643 |
| 8 |
| T94 |
| J865 |
| Q7 |
| AK32 |
2
| N |
| S |
| E |
| W |
| 972 |
| Q4 |
| AJT86 |
| K53 |
| K42 |
| QJT |
| 763 |
| A985 |
| 6542 |
| A98 |
| QT |
| KJ73 |
| T86 |
| AK753 |
| QJ2 |
| 94 |
3
| N |
| S |
| E |
| W |
| 83 |
| AKT54 |
| QJ97 |
| 62 |
| 9653 |
| AT84 |
| KQJ7 |
| 2 |
| Q85 |
| A |
| 942 |
| KJT763 |
| QT97 |
| 854 |
| AK |
| J632 |
4
| N |
| S |
| E |
| W |
| T9 |
| AKQ76 |
| 8532 |
| J4 |
| A543 |
| QJ9 |
| K |
| T8762 |
| K952 |
| Q43 |
| A76 |
| JT8 |
| KJ9 |
| A4 |
| QT753 |
| 862 |
5
| N |
| S |
| E |
| W |
| K9863 |
| J |
| AT542 |
| Q7 |
| A2 |
| 975 |
| J |
| KQT8643 |
| K6543 |
| T9872 |
| QJ |
| A |
| 2 |
| A753 |
| KQT98 |
| J64 |
6
| N |
| S |
| E |
| W |
| KQJ3 |
| A76 |
| 9542 |
| T8 |
| J94 |
| 865 |
| AQT |
| K732 |
| T763 |
| 42 |
| KJ5 |
| AQ98 |
| 84 |
| KQ632 |
| AJ5 |
| T97 |
7
| N |
| S |
| E |
| W |
| |
| J54 |
| T632 |
| AKQ987 |
| K432 |
| AQT95 |
| 6 |
| J87 |
| AQJ74 |
| T532 |
| K98 |
| 6 |
| 9863 |
| 7 |
| AKQ52 |
| JT4 |
8
| N |
| S |
| E |
| W |
| Q862 |
| AJ974 |
| T3 |
| K5 |
| 985 |
| A |
| KQT762 |
| J43 |
| QJ2 |
| A9874 |
| 5 |
| KT63 |
| K83 |
| A5 |
| QT64 |
| J972 |
9
| N |
| S |
| E |
| W |
| J95432 |
| T8 |
| A7 |
| KQ6 |
| T64 |
| KQ872 |
| J5 |
| A93 |
| A76 |
| Q943 |
| KJ2 |
| T85 |
| 2 |
| AJ |
| QT9853 |
| K764 |
10
| N |
| S |
| E |
| W |
| AJ5 |
| Q |
| 943 |
| KT8762 |
| Q6543 |
| A92 |
| JT87 |
| K |
| J43 |
| AQ9752 |
| T86 |
| K |
| 85 |
| K96 |
| A74 |
| QJT32 |
Found 100000 distributions from 100000 tries