Recognised as Dice notation
4d108
- 4d108
- 4 to 432
- mean 218
- mode 218
Rolling 4d108 gives a total between 4 and 432, with a mean of 218 and a standard deviation of 62.3512. There are 136,048,896 equally likely ordered outcomes, and the most likely total is 218 at 0.617%.
The roll
Notation4d108
Dice4
Faces per die108
Minimum total4all 4 dice showing 1
Maximum total432all 4 dice showing 108
Distinct totals429
Mean218n(f + 1)/2 + modifier, exact
Variance3,887.66666667n(f² − 1)/12, exact
Standard deviation62.3511561≈
Counting the outcomes
Ordered outcomes136,048,896108^4, every die distinguishable
Most likely total218
Chance of that total0.61731%≈
Ways to roll it839,844exact count
Chance of the minimum7.35029853 × 10^-7%≈1 in 136,048,896
Chance of the maximum7.35029853 × 10^-7%≈1 in 136,048,896
Shape of the distribution
429 distinct totals, too many to list individually.
1st percentile78≈1.048% of rolls are this or lower
5th percentile115≈5.081% of rolls are this or lower
25th percentile175≈25.496% of rolls are this or lower
50th percentile218≈50.309% of rolls are this or lower
75th percentile261≈75.004% of rolls are this or lower
95th percentile321≈95.095% of rolls are this or lower
99th percentile358≈99.005% of rolls are this or lower
Chance of rolling at least
4799.8801%≈
11195.7565%≈
21850.3087%≈
3254.4021%≈
3890.1311%≈
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