Recognised as Dice notation
25d35
- 25d35
- 25 to 875
- mean 450
- mode 450
Rolling 25d35 gives a total between 25 and 875, with a mean of 450 and a standard deviation of 50.4975. There are 399,669,593,472,470,313,551,127,910,614,013,671,875 equally likely ordered outcomes, and the most likely total is 450 at 0.785%.
The roll
Notation25d35
Dice25
Faces per die35
Minimum total25all 25 dice showing 1
Maximum total875all 25 dice showing 35
Distinct totals851
Mean450n(f + 1)/2 + modifier, exact
Variance2,550n(f² − 1)/12, exact
Standard deviation50.49752469≈
Counting the outcomes
Ordered outcomes399,669,593,472,470,313,551,127,910,614,013,671,87535^25, every die distinguishable
Most likely total450
Chance of that total0.785261%≈
Ways to roll it3,138,451,187,607,228,255,752,762,614,070,255,131exact count
Chance of the minimum2.50206675 × 10^-37%≈1 in 399,669,593,472,470,313,551,127,910,614,013,671,875
Chance of the maximum2.50206675 × 10^-37%≈1 in 399,669,593,472,470,313,551,127,910,614,013,671,875
Shape of the distribution
851 distinct totals, too many to list individually.
1st percentile333≈1.022% of rolls are this or lower
5th percentile367≈5.127% of rolls are this or lower
25th percentile416≈25.463% of rolls are this or lower
50th percentile450≈50.393% of rolls are this or lower
75th percentile484≈75.166% of rolls are this or lower
95th percentile533≈95.08% of rolls are this or lower
99th percentile567≈99.032% of rolls are this or lower
Chance of rolling at least
110100%≈
23899.9993%≈
45050.3926%≈
6630.0007%≈
7909.09098292 × 10^-13%≈
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