Dice notation
5d171
- 5d171
- 5 to 855
- mean 430
- mode 430
Rolling 5d171 gives a total between 5 and 855, with a mean of 430 and a standard deviation of 110.3781. There are 146,211,169,851 equally likely ordered outcomes, and the most likely total is 430 at 0.35%.
The roll
Notation5d171
Dice5
Faces per die171
Minimum total5all 5 dice showing 1
Maximum total855all 5 dice showing 171
Distinct totals851
Mean430n(f + 1)/2 + modifier, exact
Variance12,183.33333333n(f² − 1)/12, exact
Standard deviation110.37813793≈
Counting the outcomes
Ordered outcomes146,211,169,851171^5, every die distinguishable
Most likely total430
Chance of that total0.350273%≈
Ways to roll it512,138,601exact count
Chance of the minimum6.83942274 × 10^-10%≈1 in 146,211,169,851
Chance of the maximum6.83942274 × 10^-10%≈1 in 146,211,169,851
Shape of the distribution
851 distinct totals, too many to list individually.
1st percentile180≈1.018% of rolls are this or lower
5th percentile248≈5.067% of rolls are this or lower
25th percentile354≈25.264% of rolls are this or lower
50th percentile430≈50.175% of rolls are this or lower
75th percentile506≈75.02% of rolls are this or lower
95th percentile612≈95.032% of rolls are this or lower
99th percentile680≈99.01% of rolls are this or lower
Chance of rolling at least
9099.9716%≈
21897.3866%≈
43050.1751%≈
6432.6134%≈
7700.0301%≈
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