Recognised as Dice notation
8d767
- 8d767
- 8 to 6136
- mean 3,072
- mode 3072
Rolling 8d767 gives a total between 8 and 6,136, with a mean of 3,072 and a standard deviation of 626.2523. There are 119,774,098,731,718,282,045,441 equally likely ordered outcomes, and the most likely total is 3,072 at 0.062%.
The roll
Notation8d767
Dice8
Faces per die767
Minimum total8all 8 dice showing 1
Maximum total6,136all 8 dice showing 767
Distinct totals6,129
Mean3,072n(f + 1)/2 + modifier, exact
Variance392,192n(f² − 1)/12, exact
Standard deviation626.2523453≈
Counting the outcomes
Ordered outcomes119,774,098,731,718,282,045,441767^8, every die distinguishable
Most likely total3,072
Chance of that total0.062499%≈
Ways to roll it74,857,321,497,166,767,871exact count
Chance of the minimum8.34905051 × 10^-22%≈1 in 119,774,098,731,718,282,045,441
Chance of the maximum8.34905051 × 10^-22%≈1 in 119,774,098,731,718,282,045,441
Shape of the distribution
6,129 distinct totals, too many to list individually.
1st percentile1,638≈1.002% of rolls are this or lower
5th percentile2,040≈5.011% of rolls are this or lower
25th percentile2,643≈25.042% of rolls are this or lower
50th percentile3,072≈50.031% of rolls are this or lower
75th percentile3,501≈75.009% of rolls are this or lower
95th percentile4,104≈95.006% of rolls are this or lower
99th percentile4,506≈99.003% of rolls are this or lower
Chance of rolling at least
62199.9996%≈
1,54099.3803%≈
3,07250.0312%≈
4,6040.6229%≈
5,5230.0004%≈
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