Dice notation
3d280
- 3d280
- 3 to 840
- mean 421.5
Rolling 3d280 gives a total between 3 and 840, with a mean of 421.5 and a standard deviation of 139.9991. There are 21,952,000 equally likely ordered outcomes, and the most likely total is 421 or 422 at 0.268%.
The roll
Notation3d280
Dice3
Faces per die280
Minimum total3all 3 dice showing 1
Maximum total840all 3 dice showing 280
Distinct totals838
Mean421.5n(f + 1)/2 + modifier, exact
Variance19,599.75n(f² − 1)/12, exact
Standard deviation139.99910714≈
Counting the outcomes
Ordered outcomes21,952,000280^3, every die distinguishable
Most likely total421 and 422two totals share the peak
Chance of that total0.267857%≈
Ways to roll it58,800exact count
Chance of the minimum0.00000456%≈1 in 21,952,000
Chance of the maximum0.00000456%≈1 in 21,952,000
Shape of the distribution
838 distinct totals, too many to list individually.
1st percentile111≈1.01% of rolls are this or lower
5th percentile189≈5.045% of rolls are this or lower
25th percentile323≈25.179% of rolls are this or lower
50th percentile421≈50% of rolls are this or lower
75th percentile520≈75.045% of rolls are this or lower
95th percentile654≈95.035% of rolls are this or lower
99th percentile732≈99.017% of rolls are this or lower
Chance of rolling at least
8799.5338%≈
21292.9689%≈
42250%≈
6317.132%≈
7560.4828%≈
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