Recognised as Dice notation
8d765
- 8d765
- 8 to 6120
- mean 3,064
- mode 3064
Rolling 8d765 gives a total between 8 and 6,120, with a mean of 3,064 and a standard deviation of 624.6194. There are 117,298,236,065,000,375,390,625 equally likely ordered outcomes, and the most likely total is 3,064 at 0.063%.
The roll
Notation8d765
Dice8
Faces per die765
Minimum total8all 8 dice showing 1
Maximum total6,120all 8 dice showing 765
Distinct totals6,113
Mean3,064n(f + 1)/2 + modifier, exact
Variance390,149.33333333n(f² − 1)/12, exact
Standard deviation624.61935075≈
Counting the outcomes
Ordered outcomes117,298,236,065,000,375,390,625765^8, every die distinguishable
Most likely total3,064
Chance of that total0.062662%≈
Ways to roll it73,501,598,406,979,728,045exact count
Chance of the minimum8.52527739 × 10^-22%≈1 in 117,298,236,065,000,375,390,625
Chance of the maximum8.52527739 × 10^-22%≈1 in 117,298,236,065,000,375,390,625
Shape of the distribution
6,113 distinct totals, too many to list individually.
1st percentile1,634≈1.003% of rolls are this or lower
5th percentile2,035≈5.016% of rolls are this or lower
25th percentile2,636≈25.036% of rolls are this or lower
50th percentile3,064≈50.031% of rolls are this or lower
75th percentile3,492≈75.015% of rolls are this or lower
95th percentile4,093≈95.001% of rolls are this or lower
99th percentile4,494≈99.002% of rolls are this or lower
Chance of rolling at least
61999.9996%≈
1,53699.3802%≈
3,06450.0313%≈
4,5920.6229%≈
5,5090.0004%≈
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