Quick Answer: In Catan, hex numbers 6 and 8 produce resources 5 out of 36 rolls (13.89% each). Numbers 2 and 12 produce resources only once every 36 rolls (2.78%). Placing settlements on high-probability hexes (5, 6, 8, 9) gives you significantly more resources per game.
Resource Production Probability in Catan
| Hex Number | Frequency (of 36) | Probability | Dot Indicator |
|---|---|---|---|
| 2 | 1 | 2.78% | ● |
| 3 | 2 | 5.56% | ●● |
| 4 | 3 | 8.33% | ●●● |
| 5 | 4 | 11.11% | ●●●● |
| 6 | 5 | 13.89% | ●●●●● |
| 7 | 6 | 16.67% | Robber — no production |
| 8 | 5 | 13.89% | ●●●●● |
| 9 | 4 | 11.11% | ●●●● |
| 10 | 3 | 8.33% | ●●● |
| 11 | 2 | 5.56% | ●● |
| 12 | 1 | 2.78% | ● |
Why 7 Triggers the Robber (Not Resources)
Seven is the most common roll (16.67%) but no hex has the number 7. Instead, rolling 7 activates the Robber — a key disruption mechanic. Players with more than 7 resource cards must discard half when a 7 is rolled, and the active player moves the Robber to block a hex and steal from an adjacent player. The high frequency of 7s means resource management is crucial.
First Settlement Placement Strategy
The optimal first-turn strategy prioritizes intersections touching high-probability numbers (6, 8, 5, 9) across diverse resources. A perfect first placement would be an intersection touching three hexes with numbers 6, 8, and 9 — giving access to three different resource types, all with above-average production. Prioritize variety (ore, grain, and one of wool/lumber/brick) alongside probability.