Dice Probability Chart for Catan
How often every number rolls with two dice, and what it means for where you settle.
| Number | Ways to roll | Probability | Pips | Per 36 rolls |
|---|---|---|---|---|
| 2 | 1 | 2.8% | • | 1 |
| 3 | 2 | 5.6% | •• | 2 |
| 4 | 3 | 8.3% | ••• | 3 |
| 5 | 4 | 11.1% | •••• | 4 |
| 6 | 5 | 13.9% | ••••• | 5 |
| 7 | 6 | 16.7% | robber | 6 |
| 8 | 5 | 13.9% | ••••• | 5 |
| 9 | 4 | 11.1% | •••• | 4 |
| 10 | 3 | 8.3% | ••• | 3 |
| 11 | 2 | 5.6% | •• | 2 |
| 12 | 1 | 2.8% | • | 1 |
Reading pips
The dots on a token equal the number of ways to roll it out of 36. A settlement touching a 6, 9 and 4 collects on 5+4+3 = 12 of every 36 rolls, a third of the game. Strong openings usually total 10-13 pips with at least two different resources.
The 7
Seven is the most common roll (16.7%), which is why holding more than 7 cards is risky: the robber hits roughly once every six turns.
Next step → Generate a balanced board
Updated 2026-10-26 · about & methodology
More tools & guides
Board generator (3-4 players)
Classic 19-hex balanced map5-6 player generator
30-hex extension layoutBalanced board rules
How fair boards are builtDice probability chart
Odds & pips for 2-12How to set up a board
Variable setup stepsIsland & seafaring ideas
Custom scenario inspirationBest starting positions
Pick opening spots by pipsTiles & number tokens
Full component counts
Classic 19-hex balanced map5-6 player generator
30-hex extension layoutBalanced board rules
How fair boards are builtDice probability chart
Odds & pips for 2-12How to set up a board
Variable setup stepsIsland & seafaring ideas
Custom scenario inspirationBest starting positions
Pick opening spots by pipsTiles & number tokens
Full component counts
Don’t own the game yet?
HexBoardGen works with the base game and the 5-6 player extension. Check prices on Amazon.
Get new board modes first
One email when we add a new generator mode or guide. No spam.