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 | | 0.20 | 0.21 | 0.21 | 0.21 | 2 | | 0.21 | 0.21 | 0.21 | 0.21 | 2 | | 0.20 | 0.20 | 0.21 | 0.21 | 2 | | 0.21 | 0.21 | 0.21 | 0.21 |
| 3 | | 0.29 | 0.29 | 0.29 | 0.29 | 3 | | 0.28 | 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 | 0.13 | 0.12 | 5 | | 0.13 | 0.13 | 0.13 | 0.12 | 5 | | 0.12 | 0.13 | 0.12 | 0.13 | 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 | | 0.00 | 0 | 0.00 | 0.00 | 10 | | 0 | 0.00 | 0.00 | 0 | 10 | | 0 | 0 | 0 | 0 | 10 | | 0 | 0 | 0.00 | 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 | 0.03 | 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 | 0.06 | 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 | 0.09 | 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 | 0.00 | 0.00 | 0.00 |
| 30 | | 0 | 0 | 0 | 0.00 |
| 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 |
| A85 |
| QT73 |
| KJ92 |
| 64 |
| QT2 |
| 9543 |
| AJ8 |
| K76 |
| Q96 |
| 84 |
| K3 |
| AJT752 |
| KQ43 |
| AJT |
| 9852 |
| 76 |
2
| N |
| S |
| E |
| W |
| 542 |
| K |
| JT8763 |
| AQ9 |
| A743 |
| T62 |
| J |
| KQ985 |
| T2 |
| AKQ764 |
| J85 |
| 93 |
| A752 |
| K84 |
| QJ6 |
| T93 |
3
| N |
| S |
| E |
| W |
| J3 |
| AQ9 |
| 876 |
| KT542 |
| K9652 |
| T4 |
| 8 |
| AQJ73 |
| A97 |
| QT8543 |
| J2 |
| K6 |
| A65 |
| Q7 |
| KJT9832 |
| 4 |
4
| N |
| S |
| E |
| W |
| 963 |
| QT54 |
| K87 |
| AJ2 |
| Q4 |
| A653 |
| KJT92 |
| 87 |
| 962 |
| Q853 |
| T4 |
| AKJ7 |
| AKT76 |
| 8 |
| Q42 |
| J953 |
5
| N |
| S |
| E |
| W |
| T2 |
| J7 |
| KQ98 |
| A6543 |
| Q8532 |
| 976 |
| AK4 |
| JT |
| A754 |
| KJ8 |
| T3 |
| Q962 |
| J7 |
| K9543 |
| AQ86 |
| T2 |
6
| N |
| S |
| E |
| W |
| 87 |
| 4 |
| KQJT3 |
| A9652 |
| QT93 |
| 5 |
| 872 |
| AKJ64 |
| 87654 |
| AKQJT3 |
| 9 |
| 2 |
| K8 |
| AT763 |
| J952 |
| Q4 |
7
| N |
| S |
| E |
| W |
| AT4 |
| KQ6 |
| 752 |
| J983 |
| JT43 |
| K76 |
| 82 |
| AQ95 |
| 86 |
| J32 |
| KT954 |
| AQ7 |
| K753 |
| QJ96 |
| A82 |
| T4 |
8
| N |
| S |
| E |
| W |
| AQJ985 |
| 76 |
| 3 |
| KT42 |
| K6 |
| AQT83 |
| J754 |
| 92 |
| 75 |
| 63 |
| J92 |
| AKQT84 |
| 762 |
| AQ94 |
| KJT85 |
| 3 |
9
| N |
| S |
| E |
| W |
| AQT3 |
| 4 |
| 82 |
| KJ9765 |
| 984 |
| Q762 |
| AKJ53 |
| T |
| A8 |
| KT973 |
| J652 |
| Q4 |
| J962 |
| AQ4 |
| K8 |
| T753 |
10
| N |
| S |
| E |
| W |
| AKQT876 |
| |
| J9432 |
| 5 |
| J3 |
| AT987652 |
| K4 |
| Q |
| A |
| J2 |
| Q7 |
| KT986543 |
| A74 |
| QT8 |
| J532 |
| K96 |
Found 100000 distributions from 100000 tries