Recognised as Dice notation
2d400
- 2d400
- 2 to 800
- mean 401
- mode 401
Rolling 2d400 gives a total between 2 and 800, with a mean of 401 and a standard deviation of 163.2988. There are 160,000 equally likely ordered outcomes, and the most likely total is 401 at 0.25%.
The roll
Notation2d400
Dice2
Faces per die400
Minimum total2all 2 dice showing 1
Maximum total800all 2 dice showing 400
Distinct totals799
Mean401n(f + 1)/2 + modifier, exact
Variance26,666.5n(f² − 1)/12, exact
Standard deviation163.29880587≈
Counting the outcomes
Ordered outcomes160,000400^2, every die distinguishable
Most likely total401
Chance of that total0.25%≈
Ways to roll it400exact count
Chance of the minimum0.000625%≈1 in 160,000
Chance of the maximum0.000625%≈1 in 160,000
Shape of the distribution
799 distinct totals, too many to list individually.
1st percentile58≈1.033% of rolls are this or lower
5th percentile127≈5.001% of rolls are this or lower
25th percentile284≈25.116% of rolls are this or lower
50th percentile401≈50.125% of rolls are this or lower
75th percentile518≈75.061% of rolls are this or lower
95th percentile675≈95.078% of rolls are this or lower
99th percentile744≈99.002% of rolls are this or lower
Chance of rolling at least
8297.975%≈
20287.4375%≈
40150.125%≈
60112.5625%≈
7202.0756%≈
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