Recognised as Dice notation
3d875
- 3d875
- 3 to 2625
- mean 1,314
- mode 1314
Rolling 3d875 gives a total between 3 and 2,625, with a mean of 1,314 and a standard deviation of 437.4997. There are 669,921,875 equally likely ordered outcomes, and the most likely total is 1,314 at 0.086%.
The roll
Notation3d875
Dice3
Faces per die875
Minimum total3all 3 dice showing 1
Maximum total2,625all 3 dice showing 875
Distinct totals2,623
Mean1,314n(f + 1)/2 + modifier, exact
Variance191,406n(f² − 1)/12, exact
Standard deviation437.49971429≈
Counting the outcomes
Ordered outcomes669,921,875875^3, every die distinguishable
Most likely total1,314
Chance of that total0.085714%≈
Ways to roll it574,219exact count
Chance of the minimum1.49271137 × 10^-7%≈1 in 669,921,875
Chance of the maximum1.49271137 × 10^-7%≈1 in 669,921,875
Shape of the distribution
2,623 distinct totals, too many to list individually.
1st percentile344≈1.004% of rolls are this or lower
5th percentile587≈5.006% of rolls are this or lower
25th percentile1,005≈25.018% of rolls are this or lower
50th percentile1,314≈50.043% of rolls are this or lower
75th percentile1,623≈75.053% of rolls are this or lower
95th percentile2,041≈95.019% of rolls are this or lower
99th percentile2,284≈99.005% of rolls are this or lower
Chance of rolling at least
26599.5474%≈
65992.9446%≈
1,31450.0429%≈
1,9707.0554%≈
2,3630.4578%≈
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