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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.

34 votes

What is the probability for a thousand with 3 D10

Just roll a d1000 in anydice. The probabilities for rolling 3d10 as the 3 tens places will be exactly the same as rolling a d1000. These answers shows the math for d100 vs 2d10, it's exactly the s …
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48 votes

When rolling percentages, do 1d100 and two d10s (percentiles) share the same probabilities?

D100 and d%+d10 have exactly the same probabilities. If all 3 dice involved are fair, then they should come up with very similar distributions when rolled repeatedly. Obviously this isn't always the c …
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2 votes

What's the probability of getting three matching faces in any one roll of four Fudge dice?

The probability of 3 of any one result is 33.33%. Here's why: The basic probability of getting at least 3 of any one outcome of fudge dice is 11.11%. This is 1/9. The fact that you have 3 possibile r …
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7 votes

Is there a subtle mathematical difference between increasing the target number and adding de...

This depends heavily on the kind of adjustment you're making to the DC and to the roll. If the adjustments to the DC and roll are equal and static numbers, then there is no effective difference betwee …
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8 votes
Accepted

What's the average damage increase from Elemental Adept?

Ok, the easiest thing to do is to figure out the per die increase in damage. This is easy to calculate. d4 increase of .25 per die (1/4) (2+2+3+4)/4 = 2.75 d6 increase of .16 per die (1/6) (2+2+3+ …
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14 votes

Is it better to take the array and be Joe Average, or to roll for the odds of getting on ave...

It depends. As you've pointed out, with the rolled average you do end up with (on average), slightly higher scores. But you also distribute them more towards the center. As you can see, there i …
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1 vote

How do you calculate the expected damage increase from the sorcerer's Empowered Spell metama...

So we have to ask ourselves, how likely are we to need a reroll, how many rerolls do we need, and then, how much does this increase our damage output. I'm going to use a d6 for my examples, because, f …
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