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 | 0.20 | 0.21 | 0.20 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.21 | 0.20 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 |
| 3 |  | 0.29 | 0.29 | 0.28 | 0.29 | 3 |  | 0.28 | 0.29 | 0.29 | 0.29 | 3 |  | 0.29 | 0.29 | 0.29 | 0.28 | 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 | 0.13 | 0.12 | 5 |  | 0.12 | 0.13 | 0.12 | 0.12 | 5 |  | 0.13 | 0.12 | 0.12 | 0.12 | 5 |  | 0.13 | 0.13 | 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 | 0.00 | 0.00 | 0.00 | 10 |  | 0 | 0.00 | 0.00 | 0 | 10 |  | 0 | 0.00 | 0 | 0 | 10 |  | 0 | 0 | 0 | 0 |
| 11 |  | 0 | 0 | 0.00 | 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 | | 0.07 | 0.07 | 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 | 0.09 |
| 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 | 0.05 | 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 | | 0.00 | 0.00 | 0 | 0 |
| 30 | | 0.00 | 0 | 0.00 | 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 |
 | J64 |
 | T732 |
 | AQ8 |
 | K95 |
 | 5 |
 | JT6 |
 | K74 |
 | AQ9832 |
 | K9864 |
 | QT3 |
 | J75 |
 | A2 |
 | QJ85 |
 | K93 |
 | AT76 |
 | 42 |
2
| N |
| S |
| E |
| W |
 | KQ7 |
 | T63 |
 | J985 |
 | A42 |
 | A9 |
 | KJ8 |
 | QT6 |
 | 75432 |
 | QJ942 |
 | KT5 |
 | A87 |
 | 63 |
 | 983 |
 | AK76 |
 | T52 |
 | QJ4 |
3
| N |
| S |
| E |
| W |
 | 32 |
 | KT74 |
 | QJ9 |
 | A865 |
 | KT652 |
 | J87 |
 | 94 |
 | AQ3 |
 | A75 |
 | KQJ4 |
 | 9862 |
 | T3 |
 | K32 |
 | 87 |
 | AJ65 |
 | QT94 |
4
| N |
| S |
| E |
| W |
 | K86 |
 | Q32 |
 | JT95 |
 | A74 |
 | 853 |
 | T97 |
 | AJ642 |
 | KQ |
 | AQ76 |
 | KT5 |
 | 8 |
 | J9432 |
 | 832 |
 | T974 |
 | KQJ |
 | A65 |
5
| N |
| S |
| E |
| W |
 | Q852 |
 | J |
 | T9763 |
 | AK4 |
 | 872 |
 | AQ943 |
 | |
 | KJT65 |
 | 2 |
 | Q4 |
 | AKJT983 |
 | 765 |
 | 97643 |
 | QJT85 |
 | 2 |
 | AK |
6
| N |
| S |
| E |
| W |
 | J8 |
 | A65 |
 | KQT93 |
 | 742 |
 | T843 |
 | AKJ72 |
 | Q5 |
 | 96 |
 | AQT87 |
 | K |
 | 64 |
 | J9532 |
 | AT |
 | QJ97 |
 | K862 |
 | 543 |
7
| N |
| S |
| E |
| W |
 | QT85 |
 | J3 |
 | 97 |
 | AK642 |
 | AQT84 |
 | J72 |
 | 653 |
 | K9 |
 | 5 |
 | AT96 |
 | K7432 |
 | QJ8 |
 | AT7 |
 | KQ98 |
 | J63 |
 | 542 |
8
| N |
| S |
| E |
| W |
 | Q8 |
 | 76 |
 | AK4 |
 | JT9532 |
 | K972 |
 | JT5 |
 | AQ843 |
 | 6 |
 | AKJ73 |
 | QT98 |
 | 5 |
 | 642 |
 | Q8 |
 | JT95 |
 | 7643 |
 | AK2 |
9
| N |
| S |
| E |
| W |
 | Q93 |
 | AKJT5 |
 | 72 |
 | 864 |
 | 94 |
 | KQ6 |
 | AT832 |
 | J75 |
 | K2 |
 | QT3 |
 | A654 |
 | J987 |
 | AQJ872 |
 | K9 |
 | T5 |
 | 643 |
10
| N |
| S |
| E |
| W |
 | AKQ976 |
 | 4 |
 | 52 |
 | JT83 |
 | 9 |
 | QJ854 |
 | AK63 |
 | T72 |
 | KQ2 |
 | 974 |
 | J865 |
 | AT3 |
 | K64 |
 | Q753 |
 | 982 |
 | AJT |
Found 100000 distributions from 100000 tries