Recognised as Dice notation
5d424
- 5d424
- 5 to 2120
- mean 1,062.5
Rolling 5d424 gives a total between 5 and 2,120, with a mean of 1,062.5 and a standard deviation of 273.6901. There are 13,703,429,914,624 equally likely ordered outcomes, and the most likely total is 1,062 or 1,063 at 0.141%.
The roll
Notation5d424
Dice5
Faces per die424
Minimum total5all 5 dice showing 1
Maximum total2,120all 5 dice showing 424
Distinct totals2,116
Mean1,062.5n(f + 1)/2 + modifier, exact
Variance74,906.25n(f² − 1)/12, exact
Standard deviation273.69006193≈
Counting the outcomes
Ordered outcomes13,703,429,914,624424^5, every die distinguishable
Most likely total1,062 and 1,063two totals share the peak
Chance of that total0.141264%≈
Ways to roll it19,357,998,780exact count
Chance of the minimum7.29744309 × 10^-12%≈1 in 13,703,429,914,624
Chance of the maximum7.29744309 × 10^-12%≈1 in 13,703,429,914,624
Shape of the distribution
2,116 distinct totals, too many to list individually.
1st percentile442≈1.003% of rolls are this or lower
5th percentile611≈5.028% of rolls are this or lower
25th percentile873≈25.058% of rolls are this or lower
50th percentile1,063≈50.141% of rolls are this or lower
75th percentile1,252≈75.056% of rolls are this or lower
95th percentile1,514≈95.012% of rolls are this or lower
99th percentile1,683≈99.008% of rolls are this or lower
Chance of rolling at least
21799.9727%≈
53497.4371%≈
1,06350%≈
1,5912.587%≈
1,9090.0273%≈
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