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 | 0.20 | 0.21 | 0.21 | 2 |  | 0.20 | 0.21 | 0.20 | 0.21 |
3 |  | 0.29 | 0.28 | 0.29 | 0.29 | 3 |  | 0.29 | 0.29 | 0.29 | 0.29 | 3 |  | 0.28 | 0.29 | 0.29 | 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 |  | 0.13 | 0.13 | 0.12 | 0.12 | 5 |  | 0.13 | 0.13 | 0.12 | 0.12 | 5 |  | 0.13 | 0.12 | 0.12 | 0.12 | 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 | 0.00 | 0.00 | 0 | 10 |  | 0 | 0 | 0 | 0 | 10 |  | 0 | 0.00 | 0 | 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 | | 0.03 | 0.02 | 0.03 | 0.03 |
4 | | 0.04 | 0.04 | 0.04 | 0.04 |
5 | | 0.05 | 0.05 | 0.05 | 0.05 |
6 | | 0.07 | 0.06 | 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 | 0.04 | 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 | 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 |
 | KQJ |
 | T82 |
 | A76543 |
 | 9 |
 | 85 |
 | A6 |
 | 974 |
 | KQJT32 |
 | KT9852 |
 | Q |
 | J73 |
 | A64 |
 | A7 |
 | KQJ5432 |
 | 9 |
 | T86 |
2
| N |
| S |
| E |
| W |
 | KJT |
 | 852 |
 | A4 |
 | Q9763 |
 | AQT985 |
 | J73 |
 | 42 |
 | K6 |
 | 43 |
 | 7 |
 | AKQJ92 |
 | T865 |
 | 95 |
 | KT7432 |
 | J86 |
 | AQ |
3
| N |
| S |
| E |
| W |
 | AT97 |
 | Q64 |
 | K52 |
 | J83 |
 | J542 |
 | 83 |
 | T96 |
 | AKQ7 |
 | 84 |
 | K763 |
 | QT5 |
 | AJ92 |
 | AQT |
 | KJ98 |
 | 7632 |
 | 54 |
4
| N |
| S |
| E |
| W |
 | 862 |
 | AQ95 |
 | T43 |
 | KJ7 |
 | 643 |
 | AK85 |
 | JT7 |
 | Q92 |
 | Q8 |
 | 972 |
 | AJT |
 | K6543 |
 | Q7653 |
 | AK |
 | T842 |
 | J9 |
5
| N |
| S |
| E |
| W |
 | J832 |
 | AT4 |
 | Q |
 | K9765 |
 | 7 |
 | 9852 |
 | AKQ643 |
 | JT |
 | 82 |
 | AK76 |
 | QJ3 |
 | T954 |
 | AQJ632 |
 | T8 |
 | K94 |
 | 75 |
6
| N |
| S |
| E |
| W |
 | AJ32 |
 | K976 |
 | QT54 |
 | 8 |
 | AT7 |
 | 643 |
 | 2 |
 | KQJ985 |
 | AJ |
 | T8 |
 | KQ974 |
 | 6532 |
 | K976 |
 | AJ85 |
 | T32 |
 | Q4 |
7
| N |
| S |
| E |
| W |
 | T653 |
 | 87 |
 | Q2 |
 | AKJ94 |
 | 963 |
 | KQJ2 |
 | 87 |
 | AT54 |
 | Q8543 |
 | A76 |
 | KT9 |
 | J2 |
 | 7 |
 | KQ32 |
 | JT9864 |
 | A5 |
8
| N |
| S |
| E |
| W |
 | 98652 |
 | KT |
 | A43 |
 | QJ7 |
 | 8 |
 | KQJ643 |
 | T972 |
 | A5 |
 | A743 |
 | T8 |
 | J952 |
 | KQ6 |
 | A94 |
 | Q53 |
 | T6 |
 | KJ872 |
9
| N |
| S |
| E |
| W |
 | 976 |
 | AK832 |
 | T4 |
 | QJ5 |
 | KJ3 |
 | 9842 |
 | Q65 |
 | AT7 |
 | 83 |
 | J742 |
 | AQ96 |
 | KT5 |
 | QJ853 |
 | |
 | A974 |
 | KT62 |
10
| N |
| S |
| E |
| W |
 | 3 |
 | K84 |
 | JT965 |
 | AQ72 |
 | A653 |
 | Q84 |
 | J72 |
 | KT9 |
 | QJ4 |
 | KT6 |
 | 9532 |
 | A87 |
 | QT963 |
 | KJ42 |
 | 7 |
 | A85 |
Found 100000 distributions from 100000 tries