Settlers Resource Production Calculator
Calculate your "Pips" and expected resource yield per dice roll cycle. In Settlers, a full cycle is 36 rolls. Enter the number of Settlements you have adjacent to each number tile below. If you have a City, count it as 2 settlements for that number.
Production Analysis
Total Pips (out of 36)
Resources Per Roll
Probability of Robber Loss
Understanding Settlers Math: The "Pip" System
In strategic board games involving two six-sided dice, the probability of any number being rolled is determined by the number of combinations that sum to that value. These are often represented as "dots" or "pips" on the number tiles. There are 36 possible outcomes when rolling two dice.
The Frequency Table
- 2 & 12: 1 way (1 pip) – 2.78% chance
- 3 & 11: 2 ways (2 pips) – 5.56% chance
- 4 & 10: 3 ways (3 pips) – 8.33% chance
- 5 & 9: 4 ways (4 pips) – 11.11% chance
- 6 & 8: 5 ways (5 pips) – 13.89% chance
- 7: 6 ways (The Robber) – 16.67% chance
How to Use the Settlers Calculator
To use this calculator, look at your current board state. For every settlement you have, check the number tiles adjacent to it. If you have a settlement on the intersection of an 8, 5, and 10:
- Input '1' in the 6 or 8 field.
- Input '1' in the 5 or 9 field.
- Input '1' in the 4 or 10 field.
If you upgrade a settlement to a City, it counts as 2 in the corresponding field because you receive double resources.
Example Strategy Analysis
Scenario: You have two settlements. One is on (6, 9, 3) and the other is on (8, 10, 11).
Your Input:
– 6 or 8: 2 units (The 6 and the 8)
– 5 or 9: 1 unit (The 9)
– 4 or 10: 1 unit (The 10)
– 3 or 11: 2 units (The 3 and the 11)
The Result: This setup yields 21 pips. Mathematically, this means every time the dice are rolled, you have a 21/36 (58.3%) chance of receiving at least one resource. In a full cycle of 36 rolls, you should expect 21 resource cards.
The Rule of 7 and Risk Management
The number 7 is the most frequent roll (16.67%). If you have more than 7 cards in your hand when a 7 is rolled, you lose half your resources. This calculator monitors your "Hand Size" to remind you of the statistical danger of holding too many cards when your production is high.