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 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.21 | 0.20 | 0.21 | 2 |  | 0.21 | 0.20 | 0.21 | 0.20 |
| 3 |  | 0.29 | 0.29 | 0.29 | 0.29 | 3 |  | 0.28 | 0.28 | 0.29 | 0.28 | 3 |  | 0.28 | 0.28 | 0.29 | 0.29 | 3 |  | 0.29 | 0.29 | 0.29 | 0.28 |
| 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 | 0.13 | 0.12 | 5 |  | 0.13 | 0.12 | 0.12 | 0.13 | 5 |  | 0.12 | 0.12 | 0.12 | 0.12 | 5 |  | 0.12 | 0.12 | 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 |  | 0.00 | 0 | 0 | 0 | 10 |  | 0.00 | 0 | 0 | 0.00 | 10 |  | 0.00 | 0 | 0.00 | 0 | 10 |  | 0.00 | 0.00 | 0.00 | 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 | 0.02 | 0.02 |
| 4 | | 0.04 | 0.04 | 0.04 | 0.04 |
| 5 | | 0.05 | 0.05 | 0.05 | 0.05 |
| 6 | | 0.07 | 0.07 | 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 | 0.04 | 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 | 0.00 | 0.00 | 0 |
| 30 | | 0 | 0 | 0.00 | 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 |
 | T83 |
 | K754 |
 | Q |
 | AJ962 |
 | T94 |
 | Q8 |
 | 7652 |
 | AKJ3 |
 | 8432 |
 | KJ765 |
 | AT |
 | Q9 |
 | A65 |
 | Q8 |
 | JT9732 |
 | K4 |
2
| N |
| S |
| E |
| W |
 | A985 |
 | T64 |
 | KQ72 |
 | J3 |
 | K6 |
 | QJ982 |
 | 74 |
 | AT53 |
 | KJ93 |
 | 5 |
 | Q64 |
 | AT872 |
 | K42 |
 | J953 |
 | AQT8 |
 | 76 |
3
| N |
| S |
| E |
| W |
 | 87 |
 | AQJ3 |
 | T6 |
 | K9542 |
 | KQ2 |
 | A63 |
 | J985 |
 | T74 |
 | KJT64 |
 | 8752 |
 | Q93 |
 | A |
 | KJ2 |
 | 95 |
 | 7643 |
 | AQT8 |
4
| N |
| S |
| E |
| W |
 | AJ3 |
 | 765 |
 | T9842 |
 | KQ |
 | 9632 |
 | AJ |
 | T |
 | KQ8754 |
 | 97432 |
 | AQT65 |
 | K |
 | J8 |
 | A |
 | K64 |
 | JT9872 |
 | Q53 |
5
| N |
| S |
| E |
| W |
 | K543 |
 | 9862 |
 | AQJT7 |
 | |
 | JT87 |
 | 943 |
 | Q6 |
 | AK52 |
 | KJ75 |
 | 862 |
 | A93 |
 | QT4 |
 | 9 |
 | AT2 |
 | K63 |
 | QJ8754 |
6
| N |
| S |
| E |
| W |
 | J93 |
 | AQ |
 | KT8752 |
 | 64 |
 | K64 |
 | 98 |
 | Q7 |
 | AJT532 |
 | Q863 |
 | JT752 |
 | A94 |
 | K |
 | K83 |
 | 9762 |
 | J5 |
 | AQT4 |
7
| N |
| S |
| E |
| W |
 | J753 |
 | T962 |
 | |
 | AKQ84 |
 | T932 |
 | K875 |
 | AJ4 |
 | Q6 |
 | 8542 |
 | 9 |
 | KJT3 |
 | AQ76 |
 | 6 |
 | A832 |
 | KQJ974 |
 | T5 |
8
| N |
| S |
| E |
| W |
 | K852 |
 | AJ4 |
 | T93 |
 | Q76 |
 | 42 |
 | 5 |
 | AKJ6 |
 | QT9873 |
 | AQ4 |
 | KJ9872 |
 | T65 |
 | 3 |
 | 9543 |
 | AQ6 |
 | KT2 |
 | J87 |
9
| N |
| S |
| E |
| W |
 | 3 |
 | 9854 |
 | AKJT |
 | Q762 |
 | K643 |
 | 872 |
 | A9 |
 | QJT5 |
 | AJ643 |
 | T85 |
 | KQ2 |
 | 97 |
 | JT5 |
 | A87 |
 | KQ43 |
 | 962 |
10
| N |
| S |
| E |
| W |
 | 9876 |
 | J32 |
 | AKQT5 |
 | 4 |
 | KT83 |
 | QJ92 |
 | 64 |
 | A75 |
 | AJ |
 | 54 |
 | T9873 |
 | KQ62 |
 | AJ6 |
 | QT98 |
 | 2 |
 | K7543 |
Found 100000 distributions from 100000 tries