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Statistics deals with the mathematics of probability-based games. This tag should be used for questions about tabletop game mathematics that relate to mechanics rather than game elements such as skills or attributes, and have relevance to RPGs in particular.

14 votes

Does a roleplaying game that uses continuous probability exist?

Ultimately, your “normal-distribution random number generator” is neither random nor normally-distributed. It’s also not actually continuous; all numbers in a computer are always going to be discrete. …
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48 votes
Accepted

Are d8, 10, 12, etc. dice, fair dice?

Yes, d2, d3, d4, d6, d8, d10, d12, and d20 have uniform distributions Of these, the d4, d6, d8, d12, and d20 are regular polyhedrons. The d2 and d10 are not regular polyhedrons, but each face is nonet …
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13 votes

How can I compare the dice ranges for my game features to understand the minimums and maximums?

I mean, if you want the best answer, Take a basic probability and statistics class. That’s how you figure these things out, with basic probability and statistics. … In probability and statistics, we talk about the “expected value” of distributions, which is what you can expect, on average, from that distribution. …
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7 votes

Simulating these special dice on more regular dice

Rolling a regular d6, halving the result (rounding down), and subtracting 1 from that will result in exactly the same values as are on this specal die. This is the easiest method that doesn’t involve …
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0 votes

Handling many modifiers on a probability curve

I’m imagining one of those rotary gatling guns You know, the ones with the belts of bullets that fire very rapidly? They seem to be the best design for rapidly filling the air with lead (the assault r …
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5 votes
Accepted

Which is better of the two: effects happening before rolling, or after rolling?

The latter is strictly better. In cases where you have limited resources involved, you can choose whether or not to use them based on the roll, i.e. how much you think you need the effect. For example …
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18 votes
Accepted

Link between deities' domains and alignment

Based on the list of domains here, which I believe to be particularly thorough, I produced a Google document, found here. It lists the domains for each deity, then gets their alignments, then counts e …
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2 votes

When rolling with disadvantage what is the chance to get a 1?

It’s \$9.75\%\$. To calculate this, you need to do some double-negation. First, you calculate the odds of not rolling a 1. The probability of rolling a 1 is \$5\%\$, so the probability of not rolling …
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