Dice notation
19d10
- 19d10
- 19 to 190
- mean 104.5
Rolling 19d10 gives a total between 19 and 190, with a mean of 104.5 and a standard deviation of 12.52. There are 10,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 104 or 105 at 3.158%.
The roll
Notation19d10
Dice19
Faces per die10
Minimum total19all 19 dice showing 1
Maximum total190all 19 dice showing 10
Distinct totals172
Mean104.5n(f + 1)/2 + modifier, exact
Variance156.75n(f² − 1)/12, exact
Standard deviation12.51998403≈
Counting the outcomes
Ordered outcomes10,000,000,000,000,000,00010^19, every die distinguishable
Most likely total104 and 105two totals share the peak
Chance of that total3.158251%≈
Ways to roll it315,825,118,347,405,835exact count
Chance of the minimum1 × 10^-17%≈1 in 10,000,000,000,000,000,000
Chance of the maximum1 × 10^-17%≈1 in 10,000,000,000,000,000,000
Shape of the distribution
172 distinct totals, too many to list individually.
1st percentile76≈1.223% of rolls are this or lower
5th percentile84≈5.526% of rolls are this or lower
25th percentile96≈26.282% of rolls are this or lower
50th percentile104≈50% of rolls are this or lower
75th percentile113≈76.245% of rolls are this or lower
95th percentile125≈95.322% of rolls are this or lower
99th percentile133≈99.016% of rolls are this or lower
Chance of rolling at least
36100%≈
6299.9791%≈
10550%≈
1470.0291%≈
1738.5849984 × 10^-8%≈
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page