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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.

21 votes
5 answers
3k views

What is the chance of rolling at least 10 before a 1 on a d20?

I need at least a 10 on a d20. I can roll until I get it, or I get a 1. What is the chance I succeed? I would like to have the general formula, not just for 10. The chance of success on the first try …
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20 votes
2 answers
3k views

How much attack damage does the AC boost from a shield prevent on average?

Statistically, how much attack damage does the AC boost from a shield prevent on average? I've seen claims it results in a 10% reduction in damage taken, is that accurate?
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8 votes
3 answers
2k views

Is Deadly Aim worth it?

Deadly Aim is very similar to Power Attack in PF1, in that it reduces your chance to hit in exchange for some extra damage. In PF2 however the enemies' AC increases together with your attacks, so -2 p …
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7 votes
2 answers
358 views

How can I calculate the expected number of stunt points per attack?

If I hit on a 3, the Dragon Dice can show anything, the chance of getting a double is 44.44%, so on average it is 1.55 (3.5 * 0.44) Stunt Point per attack. If I hit only on a 18, the Dragon Dice can …
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7 votes
1 answer
5k views

How long can you expect to maintain Concentration during combat? [closed]

Every concentration spell has a listed duration in the spell description, like: Concentration, up to 1 minute. Spells that require concentration might end prematurely if the caster takes d …
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5 votes
3 answers
3k views

How do I calculate the chance of hits?

(I do not know if I should post this in math.stackexchange.com, so I try to phrase it in a way that it makes sense for non-roleplayers. Just in case it gets moved) In the latest two editions of Shado …
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4 votes
1 answer
1k views

What is the expected hit chance?

(inspired by this answer) A cursory look thru the Bestiary has shown values ranging from 12 to 19 (plus level). Did anyone collect the data, or has seen any guidelines from the creators?
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3 votes
2 answers
887 views

How many rounds is persistent damage expected to last?

If you do not spend any actions to deal with it, persistent damage ends if you succeed on a DC 15 flat check. What is the expected duration? (as calculated from the chance of ending it)
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