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Results tagged with statistics
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user 40516
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.
2
votes
Is it still a binomial distribution when rolling dice with different probabilities that must...
The probabilities for your success criteria are quite complex
Some of your criteria, such as "9 on one die, a different odd number on the other die", are simple enough, since you can compute the prob …
- 64.2k
30
votes
Simulating these special dice on more regular dice
Color-code some dice
If you don't mind defacing some dice, you can color code them and then rely on the colors rather than the dots when rolling. For example, you could color the 1 face red (-1), col …
- 64.2k
6
votes
Accepted
Does increasing the dice pool make messy criticals more likely?
Messy criticals become more likely overall, but less likely as a fraction of all criticals
The short answer is: as you add more (non-hunger) dice to the dicepool, messy criticals become a smaller frac …
- 64.2k
6
votes
Accepted
How can I calculate the expected number of stunt points per attack?
I wrote an R script to enumerate all possible rolls and then compare them each against every possible to-hit value and take the average number of stunt points (counting each roll as zero stunt points …
- 64.2k
37
votes
How to approximate rolls for potions of healing using only d6's?
Exact solution: Replace each "d4+1" with "d6, reroll 1 and 6"
Each type of healing potion (except the supreme; see below) is some multiple of "d4+1", so a formula that emulates this with a single d6 …
- 64.2k
40
votes
How does one calculate the distribution of the Matt Colville way of rolling stats?
We can also get some statistics on the distributions. \$Q_{25}\$ and \$Q_{75}\$ are the 25th and 75th percentiles. …
- 64.2k
66
votes
Accepted
Is it okay to roll multiple attacks that all have advantage in one cluster?
Rolling 12d20 and taking the 6 highest is not equivalent
Taking the 6 highest rolls out of 12d20 is not equivalent to 6 attacks with advantage. It is significantly better. I could lay out the probabi …
- 64.2k
5
votes
How can I use AnyDice to simulate rolling 6d6, and dropping the 2 lowest and 1 highest dice?
The middle function already does what you want
In testing, it looks like the dice are sorted in descending order when selecting the middle. This means that [middle 3 of 6d6] should be exactly what yo …
- 64.2k
10
votes
Accepted
What is the average point buy of a stat array from a 6x6 matrix of "roll 4d6, drop the lowes...
The average point buy value is about 37.7; the median is 37
Actually calculating the expected value of the best point buy of any row, column, or diagonal of a 6x6 matrix is tricky, because the values …
- 64.2k