Dice notation
3d992
- 3d992
- 3 to 2976
- mean 1,489.5
Rolling 3d992 gives a total between 3 and 2,976, with a mean of 1,489.5 and a standard deviation of 495.9997. There are 976,191,488 equally likely ordered outcomes, and the most likely total is 1,489 or 1,490 at 0.076%.
The roll
Notation3d992
Dice3
Faces per die992
Minimum total3all 3 dice showing 1
Maximum total2,976all 3 dice showing 992
Distinct totals2,974
Mean1,489.5n(f + 1)/2 + modifier, exact
Variance246,015.75n(f² − 1)/12, exact
Standard deviation495.99974798≈
Counting the outcomes
Ordered outcomes976,191,488992^3, every die distinguishable
Most likely total1,489 and 1,490two totals share the peak
Chance of that total0.075605%≈
Ways to roll it738,048exact count
Chance of the minimum1.02438918 × 10^-7%≈1 in 976,191,488
Chance of the maximum1.02438918 × 10^-7%≈1 in 976,191,488
Shape of the distribution
2,974 distinct totals, too many to list individually.
1st percentile390≈1.005% of rolls are this or lower
5th percentile666≈5.021% of rolls are this or lower
25th percentile1,139≈25.002% of rolls are this or lower
50th percentile1,489≈50% of rolls are this or lower
75th percentile1,840≈75.061% of rolls are this or lower
95th percentile2,313≈95.002% of rolls are this or lower
99th percentile2,589≈99.003% of rolls are this or lower
Chance of rolling at least
30099.5482%≈
74692.9688%≈
1,49050%≈
2,2337.0596%≈
2,6790.4564%≈
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