Recognised as Dice notation
3d801
- 3d801
- 3 to 2403
- mean 1,203
- mode 1203
Rolling 3d801 gives a total between 3 and 2,403, with a mean of 1,203 and a standard deviation of 400.4997. There are 513,922,401 equally likely ordered outcomes, and the most likely total is 1,203 at 0.094%.
The roll
Notation3d801
Dice3
Faces per die801
Minimum total3all 3 dice showing 1
Maximum total2,403all 3 dice showing 801
Distinct totals2,401
Mean1,203n(f + 1)/2 + modifier, exact
Variance160,400n(f² − 1)/12, exact
Standard deviation400.49968789≈
Counting the outcomes
Ordered outcomes513,922,401801^3, every die distinguishable
Most likely total1,203
Chance of that total0.093633%≈
Ways to roll it481,201exact count
Chance of the minimum1.94581905 × 10^-7%≈1 in 513,922,401
Chance of the maximum1.94581905 × 10^-7%≈1 in 513,922,401
Shape of the distribution
2,401 distinct totals, too many to list individually.
1st percentile315≈1.004% of rolls are this or lower
5th percentile538≈5.022% of rolls are this or lower
25th percentile920≈25.011% of rolls are this or lower
50th percentile1,203≈50.047% of rolls are this or lower
75th percentile1,486≈75.067% of rolls are this or lower
95th percentile1,868≈95.006% of rolls are this or lower
99th percentile2,091≈99.006% of rolls are this or lower
Chance of rolling at least
24399.5461%≈
60392.96%≈
1,20350.0468%≈
1,8037.0752%≈
2,1630.4596%≈
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