Recognised as Dice notation
2d800
- 2d800
- 2 to 1600
- mean 801
- mode 801
Rolling 2d800 gives a total between 2 and 1,600, with a mean of 801 and a standard deviation of 326.5984. There are 640,000 equally likely ordered outcomes, and the most likely total is 801 at 0.125%.
The roll
Notation2d800
Dice2
Faces per die800
Minimum total2all 2 dice showing 1
Maximum total1,600all 2 dice showing 800
Distinct totals1,599
Mean801n(f + 1)/2 + modifier, exact
Variance106,666.5n(f² − 1)/12, exact
Standard deviation326.59837722≈
Counting the outcomes
Ordered outcomes640,000800^2, every die distinguishable
Most likely total801
Chance of that total0.125%≈
Ways to roll it800exact count
Chance of the minimum0.00015625%≈1 in 640,000
Chance of the maximum0.00015625%≈1 in 640,000
Shape of the distribution
1,599 distinct totals, too many to list individually.
1st percentile114≈1.006% of rolls are this or lower
5th percentile254≈5.02% of rolls are this or lower
25th percentile567≈25.072% of rolls are this or lower
50th percentile801≈50.062% of rolls are this or lower
75th percentile1,035≈75.016% of rolls are this or lower
95th percentile1,348≈95.019% of rolls are this or lower
99th percentile1,488≈99.011% of rolls are this or lower
Chance of rolling at least
16297.9875%≈
40287.4688%≈
80150.0625%≈
1,20112.5312%≈
1,4402.0377%≈
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