Recognised as Dice notation
5d425
- 5d425
- 5 to 2125
- mean 1,065
- mode 1065
Rolling 5d425 gives a total between 5 and 2,125, with a mean of 1,065 and a standard deviation of 274.3356. There are 13,865,791,015,625 equally likely ordered outcomes, and the most likely total is 1,065 at 0.141%.
The roll
Notation5d425
Dice5
Faces per die425
Minimum total5all 5 dice showing 1
Maximum total2,125all 5 dice showing 425
Distinct totals2,121
Mean1,065n(f + 1)/2 + modifier, exact
Variance75,260n(f² − 1)/12, exact
Standard deviation274.33556095≈
Counting the outcomes
Ordered outcomes13,865,791,015,625425^5, every die distinguishable
Most likely total1,065
Chance of that total0.140932%≈
Ways to roll it19,541,296,631exact count
Chance of the minimum7.21199388 × 10^-12%≈1 in 13,865,791,015,625
Chance of the maximum7.21199388 × 10^-12%≈1 in 13,865,791,015,625
Shape of the distribution
2,121 distinct totals, too many to list individually.
1st percentile443≈1.002% of rolls are this or lower
5th percentile612≈5.011% of rolls are this or lower
25th percentile875≈25.052% of rolls are this or lower
50th percentile1,065≈50.07% of rolls are this or lower
75th percentile1,255≈75.062% of rolls are this or lower
95th percentile1,518≈95.029% of rolls are this or lower
99th percentile1,687≈99.009% of rolls are this or lower
Chance of rolling at least
21799.973%≈
53597.4431%≈
1,06550.0705%≈
1,5952.5808%≈
1,9130.0276%≈
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