basic

Catan Number Roll Probability Calculator

Probability of any of N favoured numbers in K rolls.

For Catan and other 2d6 games, compute the probability that at least one of your favoured numbers will come up over K rolls of two dice, given a chosen subset of pip counts.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

p(roll) = chosen_pip_total / 36; P(any in K rolls) = 1 − (1 − p)^K.

In depth

For Catan and other 2d6 games, compute the probability that at least one of your favoured numbers will come up over K rolls of two dice, given a chosen subset of pip counts.