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Balanced Dice for Settlers of Catan
How balanced dice work
Dice that even out the odds as you play, making the game fairer and more strategic. For Settlers of Catan, Seafarers, Cities & Knights and Colonist-style games with 2 to 6 players.
Why balanced dice for Settlers of Catan?
In Settlers of Catan, settlement placement relies on roll probabilities. Normal dice can be erratic, favoring some players by chance. Balanced dice ensure numbers like 6 or 8 pay off as expected, making strategy matter more.
Example: With balanced dice, a 6 will roll closer to its 5/36 chance over time, unlike normal dice where luck might skip it.
What are "balanced dice"?
Balanced dice adjust their rolls based on your game’s history. If a number hasn’t appeared as often as its probability suggests, the app increases its chances on the next roll. Over time, this ensures numbers 2 through 12 match their expected frequencies.
Example: If 7 (expected 1/6 of the time) is under-rolled, balanced dice make it more likely, helping it align with the odds.
What does the "balance intensity" do?
The balance intensity slider controls how much the dice adjust. At 0%, rolls are random (like normal dice). At 100%, they closely follow expected probabilities (e.g., 7 at ~17%). Settings in between blend randomness and balance.
We recommend 50%. Long droughts and streaks get smoothed out, but the dice still surprise you, so nobody can work out what comes next.
36 rolls at three settings
A typical game at each setting, picked from 2,000 simulated games. The dashed line is what perfect odds would give.
2
2×
3
2×
4
3×
5
6×
6
3×
7
7×
8
8×
9
2×
10
1×
11
1×
12
1×
RolledExpected
2
1×
3
2×
4
3×
5
3×
6
5×
7
5×
8
5×
9
3×
10
4×
11
4×
12
1×
RolledExpected
2
1×
3
2×
4
3×
5
4×
6
5×
7
6×
8
5×
9
4×
10
3×
11
2×
12
1×
RolledExpected
Made by Camiel. Dice for Catan is free, with no ads and no sign-up. If it makes your game nights better, you can buy me a coffee.