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 | 0.20 | 0.21 | 2 |  | 0.20 | 0.21 | 0.20 | 0.21 | 2 |  | 0.21 | 0.21 | 0.21 | 0.21 | 2 |  | 0.21 | 0.20 | 0.21 | 0.21 |
3 |  | 0.29 | 0.29 | 0.29 | 0.28 | 3 |  | 0.29 | 0.28 | 0.29 | 0.28 | 3 |  | 0.29 | 0.29 | 0.29 | 0.28 | 3 |  | 0.29 | 0.28 | 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 |  | 0.13 | 0.13 | 0.12 | 0.13 | 5 |  | 0.13 | 0.12 | 0.12 | 0.13 | 5 |  | 0.12 | 0.12 | 0.13 | 0.12 | 5 |  | 0.12 | 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 | 0 | 0 | 10 |  | 0.00 | 0 | 0 | 0 | 10 |  | 0.00 | 0 | 0 | 0 | 10 |  | 0.00 | 0 | 0 | 0 |
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 | 0.07 |
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 | 0.05 | 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 | 0.00 | 0.00 |
30 | | 0 | 0.00 | 0 | 0 |
31 | | 0 | 0.00 | 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 |
 | 72 |
 | KQ83 |
 | T965 |
 | AJ4 |
 | JT98 |
 | Q732 |
 | 6 |
 | AK54 |
 | KQ64 |
 | A85 |
 | JT73 |
 | 92 |
 | AK8 |
 | T5 |
 | 9764 |
 | QJ32 |
2
| N |
| S |
| E |
| W |
 | QT875 |
 | 4 |
 | A |
 | KJ9632 |
 | J964 |
 | A872 |
 | QT |
 | K53 |
 | 95 |
 | K7 |
 | AJT643 |
 | Q82 |
 | 64 |
 | AJ9832 |
 | QT75 |
 | K |
3
| N |
| S |
| E |
| W |
 | 964 |
 | AQT83 |
 | 52 |
 | KJ7 |
 | Q863 |
 | J95 |
 | AK7 |
 | T42 |
 | AT5 |
 | 83 |
 | 9642 |
 | KQJ7 |
 | 743 |
 | AT6 |
 | KJ92 |
 | Q85 |
4
| N |
| S |
| E |
| W |
 | 872 |
 | QJ965 |
 | AK3 |
 | T4 |
 | 63 |
 | Q872 |
 | JT95 |
 | AK4 |
 | K92 |
 | 7 |
 | J64 |
 | AQT853 |
 | T7542 |
 | AJ6 |
 | K83 |
 | Q9 |
5
| N |
| S |
| E |
| W |
 | T |
 | A976 |
 | KJ84 |
 | Q532 |
 | QT82 |
 | 4 |
 | A96 |
 | KJ753 |
 | AQ72 |
 | KJ985 |
 | 63 |
 | T4 |
 | 9432 |
 | QT7 |
 | AK86 |
 | J5 |
6
| N |
| S |
| E |
| W |
 | 84 |
 | AKJ7 |
 | Q9652 |
 | T3 |
 | JT3 |
 | 987 |
 | Q52 |
 | AK64 |
 | AKT7 |
 | 982 |
 | J6543 |
 | Q |
 | JT43 |
 | Q72 |
 | |
 | AK9865 |
7
| N |
| S |
| E |
| W |
 | 9 |
 | 72 |
 | KQ64 |
 | AJT853 |
 | AKQ2 |
 | J9843 |
 | T6 |
 | 75 |
 | Q983 |
 | AT |
 | J64 |
 | K752 |
 | K543 |
 | AJ92 |
 | T876 |
 | Q |
8
| N |
| S |
| E |
| W |
 | KQ9863 |
 | A75 |
 | JT2 |
 | 4 |
 | 98 |
 | J6432 |
 | AT5 |
 | KQ7 |
 | QT2 |
 | 85 |
 | AK6 |
 | J9743 |
 | 96 |
 | J82 |
 | T743 |
 | AKQ5 |
9
| N |
| S |
| E |
| W |
 | JT754 |
 | 98632 |
 | Q |
 | AK |
 | J654 |
 | K8 |
 | AT932 |
 | Q7 |
 | 3 |
 | 54 |
 | AT76 |
 | KQJ982 |
 | KQ7 |
 | A432 |
 | JT5 |
 | 986 |
10
| N |
| S |
| E |
| W |
 | AQ62 |
 | J987 |
 | KT43 |
 | 5 |
 | J74 |
 | T862 |
 | A95 |
 | KQ3 |
 | Q7 |
 | 43 |
 | K2 |
 | AJT9865 |
 | 6542 |
 | 987 |
 | AKQ3 |
 | JT |
Found 100000 distributions from 100000 tries