Recognised as Dice notation
5d108
- 5d108
- 5 to 540
- mean 272.5
Rolling 5d108 gives a total between 5 and 540, with a mean of 272.5 and a standard deviation of 69.7107. There are 14,693,280,768 equally likely ordered outcomes, and the most likely total is 272 or 273 at 0.555%.
The roll
Notation5d108
Dice5
Faces per die108
Minimum total5all 5 dice showing 1
Maximum total540all 5 dice showing 108
Distinct totals536
Mean272.5n(f + 1)/2 + modifier, exact
Variance4,859.58333333n(f² − 1)/12, exact
Standard deviation69.71071175≈
Counting the outcomes
Ordered outcomes14,693,280,768108^5, every die distinguishable
Most likely total272 and 273two totals share the peak
Chance of that total0.554599%≈
Ways to roll it81,488,835exact count
Chance of the minimum6.80583197 × 10^-9%≈1 in 14,693,280,768
Chance of the maximum6.80583197 × 10^-9%≈1 in 14,693,280,768
Shape of the distribution
536 distinct totals, too many to list individually.
1st percentile115≈1.045% of rolls are this or lower
5th percentile157≈5.008% of rolls are this or lower
25th percentile224≈25.121% of rolls are this or lower
50th percentile273≈50.555% of rolls are this or lower
75th percentile321≈75.326% of rolls are this or lower
95th percentile388≈95.147% of rolls are this or lower
99th percentile430≈99.001% of rolls are this or lower
Chance of rolling at least
5999.9688%≈
13997.3668%≈
27350%≈
4062.7307%≈
4870.0312%≈
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