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 | 0.20 | 0.21 | 0.21 |  2 |   | 0.20 | 0.20 | 0.20 | 0.21 |  2 |   | 0.21 | 0.21 | 0.21 | 0.21 | 
|  3 |   | 0.29 | 0.29 | 0.28 | 0.29 |  3 |   | 0.29 | 0.29 | 0.29 | 0.28 |  3 |   | 0.29 | 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 | 0.12 | 0.12 | 0.13 |  5 |   | 0.12 | 0.13 | 0.12 | 0.12 |  5 |   | 0.13 | 0.12 | 0.13 | 0.12 |  5 |   | 0.13 | 0.12 | 0.12 | 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    | 0    | 0    | 0.00 |  10 |   | 0    | 0.00 | 0    | 0.00 |  10 |   | 0    | 0.00 | 0.00 | 0    |  10 |   | 0.00 | 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 | 0.10 | 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 | 0.05 | 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 |  | 0.00 | 0.00 | 0.00 | 0.00 | 
|  29 |  | 0    | 0    | 0.00 | 0.00 | 
|  30 |  | 0.00 | 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 | 
  | AJ87 | 
  | 6 | 
  | K5432 | 
  | QT9 | 
  | 9864 | 
  | J7 | 
  | AQ2 | 
  | KT53 | 
  | QT7 | 
  | K96532 | 
  | A84 | 
  | J | 
  | T3 | 
  | QJ92 | 
  | 64 | 
  | AK875 | 
 2
 | N | 
 | S | 
 | E | 
 | W | 
  | Q | 
  | AKJ853 | 
  | T62 | 
  | 974 | 
  | KJT2 | 
  | 8 | 
  | 7654 | 
  | AQ93 | 
  | QT | 
  | KJ2 | 
  | 987 | 
  | A6543 | 
  | Q98653 | 
  | KT2 | 
  | AJ7 | 
  | 4 | 
 3
 | N | 
 | S | 
 | E | 
 | W | 
  | 973 | 
  | AJT54 | 
  | K6 | 
  | Q82 | 
  | K2 | 
  | T83 | 
  | J74 | 
  | AQ965 | 
  | J | 
  | A32 | 
  | KT9854 | 
  | Q76 | 
  | AKQ9854 | 
  | T6 | 
  | 73 | 
  | J2 | 
 4
 | N | 
 | S | 
 | E | 
 | W | 
  | AKJ76 | 
  | 952 | 
  | QT843 | 
  |  | 
  | J5 | 
  | AQ83 | 
  | K97 | 
  | T642 | 
  | AT54 | 
  | J3 | 
  | K7 | 
  | Q9862 | 
  | 97 | 
  | AKT5 | 
  | QJ8 | 
  | 6432 | 
 5
 | N | 
 | S | 
 | E | 
 | W | 
  | 83 | 
  | 754 | 
  | AK2 | 
  | QJT96 | 
  | QJ75 | 
  | 94 | 
  | A86 | 
  | KT32 | 
  | AK43 | 
  | JT | 
  | 982 | 
  | Q765 | 
  | J75 | 
  | QT9862 | 
  | AK43 | 
  |  | 
 6
 | N | 
 | S | 
 | E | 
 | W | 
  | AJ98 | 
  | 5 | 
  | T2 | 
  | KQ7643 | 
  | 87643 | 
  | Q | 
  | JT5 | 
  | AK92 | 
  | 2 | 
  | KQJT3 | 
  | 987654 | 
  | A | 
  | K64 | 
  | AJT985 | 
  | 32 | 
  | Q7 | 
 7
 | N | 
 | S | 
 | E | 
 | W | 
  | J763 | 
  | 82 | 
  | 954 | 
  | AKQT | 
  | 7 | 
  | 93 | 
  | KQ62 | 
  | AJT854 | 
  | KJ872 | 
  | Q965 | 
  | AT | 
  | 43 | 
  | 964 | 
  | KJT72 | 
  | AQ83 | 
  | 5 | 
 8
 | N | 
 | S | 
 | E | 
 | W | 
  | KT8 | 
  | A7 | 
  | QJ | 
  | 965432 | 
  | A742 | 
  | KJT5 | 
  | Q98 | 
  | 63 | 
  | AJ8 | 
  | K54 | 
  | T976 | 
  | Q32 | 
  | K85 | 
  | QJT4 | 
  | A632 | 
  | 97 | 
 9
 | N | 
 | S | 
 | E | 
 | W | 
  | Q5 | 
  | AKT9 | 
  | J743 | 
  | 862 | 
  | JT97 | 
  | Q8542 | 
  | K | 
  | A63 | 
  | Q6 | 
  | A85 | 
  | KT4 | 
  | J9732 | 
  | AQ975 | 
  | 8 | 
  | KJ632 | 
  | T4 | 
 10
 | N | 
 | S | 
 | E | 
 | W | 
  | K52 | 
  | AJ84 | 
  | QT9763 | 
  |  | 
  | 8654 | 
  | A | 
  | K3 | 
  | QJT972 | 
  | AJ | 
  | T952 | 
  | 87 | 
  | KQ643 | 
  | Q632 | 
  | JT85 | 
  | K97 | 
  | A4 | 
Found  100000 distributions from  100000 tries