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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.

13 votes
Accepted

How many rounds is persistent damage expected to last?

3+1/3 turns On your first turn, you always take damage (\$p=1\$). The probability of failing a DC 15 flat check is \$0.7\$. So on any turn after the first, you have \$0.7\$ chance of taking damage, if …
Ilmari Karonen's user avatar
4 votes

How do I mathematically find this distribution?

Still binomial What you propose only changes the probability of rolling a 6 on every individual die, but they still remain independent of each other. As such it will be binomial, just as it would be w …
Community's user avatar
  • 1
12 votes

Does bounded accuracy effectively increase randomness in D&D 5e, compared to previous editions?

Only if there is a level disparity As the rules not only affect PC stats, but all creatures are designed in this framework, against a level-appropriate enemy this does not change much. The AC and DC-s …
Community's user avatar
  • 1
9 votes

Is there an online tool that can calculate advantage/disadvantage versus arbitrary dice prob...

The most widely used is AnyDice. It has options for most situations that come up with dice: rolling multiple, taking the highest value, counting dice rolling above a threshold and others. Its main ou …
Rubiksmoose's user avatar
  • 95.6k
31 votes
Accepted

What is the average benefit of this particular stats rolling scheme?

The advantage in general is pretty low since the chance of that happening is small. The chance of rolling 4 identical numbers on d6s is \$\frac{6}{6^4} = \frac{1}{216} \approx 0.46\%\$. That would mak …
SevenSidedDie's user avatar
5 votes

Help with Anydice function for 3d10 dice pool

If you want to subtract the lowest of the 3d10 from the highest, use this: function: xx A:s xx { result:1@A - 3@A } output [xx 3d10 xx] Here's a link. As the function expects a sequence, it evalua …
Ifusaso 'he-him''s user avatar
70 votes

My DM insists on rolling a single save for groups affected by AoE save spells. How does this...

Overall, this will make area/multi-target spells less reliable, but more potent. Numbers The chance of a single individual to save is not affected by this change. The number of individuals affected …
Szega's user avatar
  • 61.9k