Dice notation
5d218
- 5d218
- 5 to 1090
- mean 547.5
Rolling 5d218 gives a total between 5 and 1,090, with a mean of 547.5 and a standard deviation of 140.7169. There are 492,359,665,568 equally likely ordered outcomes, and the most likely total is 547 or 548 at 0.275%.
The roll
Notation5d218
Dice5
Faces per die218
Minimum total5all 5 dice showing 1
Maximum total1,090all 5 dice showing 218
Distinct totals1,086
Mean547.5n(f + 1)/2 + modifier, exact
Variance19,801.25n(f² − 1)/12, exact
Standard deviation140.71691441≈
Counting the outcomes
Ordered outcomes492,359,665,568218^5, every die distinguishable
Most likely total547 and 548two totals share the peak
Chance of that total0.274753%≈
Ways to roll it1,352,770,660exact count
Chance of the minimum2.03103558 × 10^-10%≈1 in 492,359,665,568
Chance of the maximum2.03103558 × 10^-10%≈1 in 492,359,665,568
Shape of the distribution
1,086 distinct totals, too many to list individually.
1st percentile229≈1.02% of rolls are this or lower
5th percentile315≈5.019% of rolls are this or lower
25th percentile450≈25.097% of rolls are this or lower
50th percentile547≈50% of rolls are this or lower
75th percentile645≈75.125% of rolls are this or lower
95th percentile780≈95.058% of rolls are this or lower
99th percentile866≈99.002% of rolls are this or lower
Chance of rolling at least
11499.9715%≈
27697.4379%≈
54850%≈
8192.6091%≈
9820.0285%≈
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