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 | 0.20 | 2 | | 0.20 | 0.21 | 0.21 | 0.21 | 2 | | 0.21 | 0.20 | 0.20 | 0.21 | 2 | | 0.21 | 0.21 | 0.21 | 0.20 |
| 3 | | 0.29 | 0.29 | 0.29 | 0.29 | 3 | | 0.29 | 0.28 | 0.29 | 0.29 | 3 | | 0.29 | 0.29 | 0.29 | 0.29 | 3 | | 0.28 | 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 | 0.12 | 0.13 | 5 | | 0.13 | 0.12 | 0.12 | 0.12 | 5 | | 0.12 | 0.12 | 0.13 | 0.12 | 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 | 0.00 | 0 | 0 | 10 | | 0.00 | 0.00 | 0.00 | 0 | 10 | | 0 | 0 | 0 | 0.00 | 10 | | 0 | 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 | | 0.02 | 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 | | 0.06 | 0.06 | 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 | | 0.09 | 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 | 0.04 | 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 | 0.00 | 0.00 |
| 29 | | 0.00 | 0 | 0.00 | 0 |
| 30 | | 0.00 | 0.00 | 0 | 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 |
| KQ |
| A952 |
| JT643 |
| 87 |
| Q82 |
| 976 |
| J54 |
| AKT3 |
| 9632 |
| AKQJ7 |
| T |
| 854 |
| Q743 |
| 2 |
| 9865 |
| AKJT |
2
| N |
| S |
| E |
| W |
| KJ853 |
| 4 |
| T6 |
| AQ972 |
| KQ |
| AJ8762 |
| T9543 |
| |
| T94 |
| 8762 |
| AQ3 |
| KJ5 |
| QJ6 |
| 94 |
| T52 |
| AK873 |
3
| N |
| S |
| E |
| W |
| J853 |
| 92 |
| A64 |
| KQT7 |
| K72 |
| AQJT98 |
| 643 |
| 5 |
| T93 |
| Q6 |
| AJ2 |
| K8754 |
| J73 |
| T94 |
| Q865 |
| AK2 |
4
| N |
| S |
| E |
| W |
| KQ6 |
| T |
| 98542 |
| AJ73 |
| J97 |
| AQT64 |
| 83 |
| K52 |
| KJ52 |
| AQ84 |
| 97 |
| T63 |
| 765 |
| J84 |
| KQ32 |
| AT9 |
5
| N |
| S |
| E |
| W |
| KJ54 |
| 92 |
| AT76 |
| Q83 |
| AK4 |
| J732 |
| T5 |
| Q986 |
| AJ9 |
| KT542 |
| Q76 |
| 83 |
| 974 |
| Q6 |
| A852 |
| KJT3 |
6
| N |
| S |
| E |
| W |
| AQJ653 |
| T8 |
| 942 |
| K7 |
| 76 |
| AK9832 |
| J5 |
| QT4 |
| KT6 |
| 42 |
| AQ875 |
| J93 |
| Q4 |
| 862 |
| AKT |
| J9753 |
7
| N |
| S |
| E |
| W |
| J5 |
| KT4 |
| 9873 |
| AQ62 |
| AJT75 |
| K4 |
| 932 |
| Q86 |
| 872 |
| AQ9 |
| KJ4 |
| T653 |
| AJ8 |
| KQ963 |
| 742 |
| T5 |
8
| N |
| S |
| E |
| W |
| A985 |
| QT6 |
| KJ43 |
| 72 |
| T987643 |
| AQJ2 |
| K5 |
| |
| |
| T543 |
| A87 |
| KQJ962 |
| 97 |
| J2 |
| K653 |
| AQT84 |
9
| N |
| S |
| E |
| W |
| 53 |
| KQ92 |
| JT876 |
| A4 |
| QT7 |
| K643 |
| J5 |
| A982 |
| T82 |
| Q7 |
| AK543 |
| J96 |
| Q8652 |
| 743 |
| A |
| KJT9 |
10
| N |
| S |
| E |
| W |
| AKQT3 |
| 87 |
| J9654 |
| 2 |
| KT73 |
| QJ64 |
| A2 |
| 985 |
| 4 |
| J87 |
| A9 |
| KQT6532 |
| 975 |
| Q632 |
| AKT8 |
| J4 |
Found 100000 distributions from 100000 tries