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Settlers of Catan 2d6 Resource Probability Calculator

Calculate exact odds, pips, and resource yields for hex tile numbers in Settlers of Catan.

⚙️ Input Parameters

Real-Time Simulation
8
2 12
Mathematical Formula
P(2d6 = N) based on 36 permutations; Pips = count of winning dice combinations
Primary Probability Result
--%
Success Probability
Fractional Odds
1 in 2.0
Failure Chance
50.0%
Client-side mathematical calculation ● 100% Deterministic

Tactical Analysis & Mathematical Context

In tabletop gaming, understanding the mathematical distribution behind your rolls allows you to make informed risk-reward decisions. Whether balancing spell slot usage in D&D 5e, evaluating an attack profile in Warhammer 40k, or weighing trade routes in Catan, knowing the exact probability mass function (PMF) turns guesswork into strategy.

Frequently Asked Questions

Why are 6 and 8 red numbers in Catan?

Numbers 6 and 8 have 5 dots (pips) each because there are 5 distinct ways to roll them out of 36 combinations (5/36 = 13.89%). Aside from 7 (which moves the robber), 6 and 8 are the highest-producing resource tiles.

What is the probability of the robber rolling (7) in Catan?

The number 7 is the single most likely roll on 2d6, with 6 out of 36 combinations (16.67%, or exactly 1 in every 6 turns).

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