Dice notation
15d10
- 15d10
- 15 to 150
- mean 82.5
Rolling 15d10 gives a total between 15 and 150, with a mean of 82.5 and a standard deviation of 11.1243. There are 1,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 82 or 83 at 3.546%.
The roll
Notation15d10
Dice15
Faces per die10
Minimum total15all 15 dice showing 1
Maximum total150all 15 dice showing 10
Distinct totals136
Mean82.5n(f + 1)/2 + modifier, exact
Variance123.75n(f² − 1)/12, exact
Standard deviation11.12429773≈
Counting the outcomes
Ordered outcomes1,000,000,000,000,00010^15, every die distinguishable
Most likely total82 and 83two totals share the peak
Chance of that total3.546039%≈
Ways to roll it35,460,394,945,125exact count
Chance of the minimum1 × 10^-13%≈1 in 1,000,000,000,000,000
Chance of the maximum1 × 10^-13%≈1 in 1,000,000,000,000,000
Shape of the distribution
136 distinct totals, too many to list individually.
1st percentile57≈1.176% of rolls are this or lower
5th percentile64≈5.3% of rolls are this or lower
25th percentile75≈26.637% of rolls are this or lower
50th percentile83≈53.546% of rolls are this or lower
75th percentile90≈76.215% of rolls are this or lower
95th percentile101≈95.618% of rolls are this or lower
99th percentile108≈99.084% of rolls are this or lower
Chance of rolling at least
29100%≈
4999.9135%≈
8350%≈
1160.1207%≈
1370%≈
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