Probability Solver
Calculate exact combinatorial probabilities from known cards, HCP, and suit-length ranges.
North
-
♠
♥
♦
♣
Select 13 cards
0 / 13
♠
A
K
Q
J
T
9
8
7
6
5
4
3
2
♥
A
K
Q
J
T
9
8
7
6
5
4
3
2
♦
A
K
Q
J
T
9
8
7
6
5
4
3
2
♣
A
K
Q
J
T
9
8
7
6
5
4
3
2
West
-
♠
♥
♦
♣
Select 13 cards
0 / 13
♠
A
K
Q
J
T
9
8
7
6
5
4
3
2
♥
A
K
Q
J
T
9
8
7
6
5
4
3
2
♦
A
K
Q
J
T
9
8
7
6
5
4
3
2
♣
A
K
Q
J
T
9
8
7
6
5
4
3
2
East
-
♠
♥
♦
♣
Select 13 cards
0 / 13
♠
A
K
Q
J
T
9
8
7
6
5
4
3
2
♥
A
K
Q
J
T
9
8
7
6
5
4
3
2
♦
A
K
Q
J
T
9
8
7
6
5
4
3
2
♣
A
K
Q
J
T
9
8
7
6
5
4
3
2
South
-
♠
♥
♦
♣
Select 13 cards
0 / 13
♠
A
K
Q
J
T
9
8
7
6
5
4
3
2
♥
A
K
Q
J
T
9
8
7
6
5
4
3
2
♦
A
K
Q
J
T
9
8
7
6
5
4
3
2
♣
A
K
Q
J
T
9
8
7
6
5
4
3
2
Compare events
How to use
- Choose Feature or Full hand for each seat. Feature mode narrows possible hands by HCP, shape, and known cards; Full hand fixes all 13 cards.
- In Compare events, define the event to calculate, such as a player's HCP range, shape, or specific card holding.
- Use Add condition or Add group when the event needs AND/OR logic, then click Calculate exact probability.
Input notes
- Shape ranges use the same format as the other tools, for example 0-13 or 5-7.
- Known cards accept tokens such as SA, HK, or -DQ. A minus sign means the hand does not hold that card.
- If no deals match the base conditions, loosen the HCP, shape, or known-card constraints.