Catan Dice Strategy & Probabilities
In Catan, two six-sided dice determine which tiles produce resources each turn. Understanding the probability distribution of 2d6 is the foundation of good Catan strategy — it tells you which numbers to settle on, when to expect the robber, and how to value different resource hexes.
2d6 Probability Distribution
With two dice, 7 is the most common result (16.7%), followed by 6 and 8 (13.9% each), then 5 and 9 (11.1% each). The number tokens in Catan show dots representing relative frequency — 6 and 8 have five dots, while 2 and 12 have just one. The probability drops symmetrically from 7 toward the extremes. Understanding this curve is the single most important strategic concept in Catan.
Best Numbers to Settle On
6 and 8 are the best numbers — each produces on 13.9% of rolls (5 out of 36 combinations). 5 and 9 are next at 11.1%. 4 and 10 produce on 8.3%. Avoid 2 and 12 as primary resource sources — they only produce 2.8% of the time. When placing settlements, count the total dots on adjacent number tokens. A settlement touching a 6, 9, and 4 has 5+4+3 = 12 dots (out of a maximum possible of 15), which is strong.
The Robber and 7s
A 7 is rolled 16.7% of the time — roughly every 6 turns. When a 7 is rolled: any player with more than 7 resource cards must discard half (rounded down), the roller moves the robber to block a hex and steals one card from an adjacent player. Because 7s are so frequent, keeping your hand at 7 or fewer cards is crucial. Build or trade aggressively to avoid losing half your hand. The robber also makes 6 and 8 hexes slightly less valuable in practice since they are frequent robber targets.
Resource Scarcity Strategy
Not all resources are equally available on every board. Count how many dots are on each resource type. If brick has low-dot numbers (like 2 and 12), brick will be scarce — and therefore more valuable for trading. Controlling a scarce resource (by settling on the best hex for it) gives you massive trading power. Ports become more valuable when you have abundant access to one resource — a 2:1 port for a resource you produce frequently is extremely powerful.
Port Trading and Probability Math
A 3:1 generic port requires 3 of any resource for 1 of your choice. A 2:1 specific port requires 2 of one type. To evaluate a port, consider your production rate. If you have a settlement on a wheat hex with number 6 (13.9% per turn), you'll produce wheat roughly every 7 turns. With a 2:1 wheat port, you can convert excess wheat efficiently. Without a port, the bank rate is 4:1 — making ports one of the most underrated strategic assets.
Common Beginner Mistakes
Settling on 2 or 12 for a "rare" resource — these numbers are too unlikely. Ignoring port positions during initial placement. Holding more than 7 cards and losing half to the robber. Overvaluing ore and wheat early when you need brick and wood to expand. Neglecting road placement to block opponents. Not diversifying across different numbers — if all your settlements are on 6 and 9, a single robber placement cripples you.
Frequently Asked Questions
What is the best number in Catan?
6 and 8 are the best numbers, each producing on 13.9% of rolls. They are the most frequent non-7 results. A settlement touching a 6 and 8 hex is statistically ideal.
How often does a 7 get rolled in Catan?
A 7 is rolled about 16.7% of the time (1 in 6 rolls). In a typical game with 70-80 dice rolls, expect the robber to be activated 12-13 times.
Should I always go for the highest dots?
Usually, but not always. Resource diversity matters too. A settlement on a 6-ore, 4-wheat, 3-brick is often better than 6-ore, 8-ore, 5-ore because you need multiple resource types to build.
Are ports worth settling on?
Yes, especially 2:1 ports for a resource you produce a lot of. A 2:1 port effectively doubles the trading value of that resource compared to the 4:1 bank rate. Ports become more valuable in the mid to late game.