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 | 0.20 | 0.20 | 0.21 |  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 | 
|  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 | 0.28 |  3 |   | 0.29 | 0.28 | 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 |   | 0.13 | 0.12 | 0.13 | 0.12 |  5 |   | 0.13 | 0.12 | 0.13 | 0.12 |  5 |   | 0.12 | 0.12 | 0.13 | 0.13 |  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    | 0    | 0    |  10 |   | 0    | 0    | 0    | 0    |  10 |   | 0    | 0.00 | 0.00 | 0    |  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 | 0.02 | 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 | 0.07 | 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 | 0.09 | 0.10 | 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 | 0.04 | 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    | 0.00 | 0.00 | 0.00 | 
|  29 |  | 0    | 0.00 | 0.00 | 0    | 
|  30 |  | 0    | 0    | 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 | 
  | J93 | 
  | 64 | 
  | Q85 | 
  | AKT72 | 
  | T8 | 
  | QJ32 | 
  | AK976 | 
  | 54 | 
  | 6532 | 
  | KJ9 | 
  | A87 | 
  | QT4 | 
  | AT93 | 
  | KQ64 | 
  | 52 | 
  | J87 | 
 2
 | N | 
 | S | 
 | E | 
 | W | 
  | J96 | 
  | Q742 | 
  | K5 | 
  | AT83 | 
  | AK2 | 
  | JT73 | 
  | Q86 | 
  | 954 | 
  | A965 | 
  | T | 
  | K87432 | 
  | QJ | 
  | J74 | 
  | AK82 | 
  | T3 | 
  | Q965 | 
 3
 | N | 
 | S | 
 | E | 
 | W | 
  | 873 | 
  | QJT54 | 
  | 96 | 
  | AK2 | 
  | A932 | 
  | Q | 
  | JT854 | 
  | K76 | 
  | J4 | 
  | KQT5 | 
  | 762 | 
  | A983 | 
  | 9432 | 
  | J75 | 
  | K86 | 
  | AQT | 
 4
 | N | 
 | S | 
 | E | 
 | W | 
  | AK8 | 
  | JT92 | 
  | 53 | 
  | Q764 | 
  | Q97 | 
  | KJT5 | 
  | A632 | 
  | 84 | 
  | K987 | 
  | J | 
  | T42 | 
  | AQ653 | 
  | 876 | 
  | AT93 | 
  | KQ52 | 
  | J4 | 
 5
 | N | 
 | S | 
 | E | 
 | W | 
  | T7 | 
  | Q63 | 
  | A | 
  | KJ98542 | 
  | AQ87 | 
  | K962 | 
  | JT543 | 
  |  | 
  | AK2 | 
  | 754 | 
  | Q986 | 
  | JT3 | 
  | KQT2 | 
  | 764 | 
  | AJ5 | 
  | 983 | 
 6
 | N | 
 | S | 
 | E | 
 | W | 
  | KQJ753 | 
  |  | 
  | 98 | 
  | AT642 | 
  | J7 | 
  | AK93 | 
  | QT654 | 
  | 82 | 
  | A5 | 
  | KQ74 | 
  | JT62 | 
  | 983 | 
  | AKQ | 
  | J8732 | 
  | 65 | 
  | T94 | 
 7
 | N | 
 | S | 
 | E | 
 | W | 
  | KT6 | 
  | AQJ42 | 
  | 97 | 
  | 853 | 
  | T652 | 
  | 84 | 
  | AQ93 | 
  | KJ7 | 
  | 873 | 
  | KQ542 | 
  | AT6 | 
  | J9 | 
  | K75 | 
  | 3 | 
  | A982 | 
  | QJT64 | 
 8
 | N | 
 | S | 
 | E | 
 | W | 
  | 9432 | 
  | T7 | 
  | KQJ | 
  | A865 | 
  | T854 | 
  | AJ96 | 
  | Q3 | 
  | K72 | 
  | QJT7 | 
  | 9542 | 
  | K86 | 
  | A3 | 
  | A | 
  | 652 | 
  | KQJ93 | 
  | T874 | 
 9
 | N | 
 | S | 
 | E | 
 | W | 
  | A642 | 
  | KT8 | 
  | J953 | 
  | Q7 | 
  | QJ | 
  | 963 | 
  | AKT2 | 
  | 8754 | 
  | QT96 | 
  | J753 | 
  | K | 
  | A842 | 
  | T63 | 
  | AQ9 | 
  | J874 | 
  | K52 | 
 10
 | N | 
 | S | 
 | E | 
 | W | 
  | T953 | 
  | A864 | 
  | QJ | 
  | K72 | 
  | Q8764 | 
  | 2 | 
  | AJ953 | 
  | KT | 
  | T6 | 
  | KJ4 | 
  | AQ95 | 
  | 8732 | 
  | T2 | 
  | AK865 | 
  | 73 | 
  | QJ94 | 
Found  100000 distributions from  100000 tries