Recognised as Dice notation
5d122
- 5d122
- 5 to 610
- mean 307.5
Rolling 5d122 gives a total between 5 and 610, with a mean of 307.5 and a standard deviation of 78.748. There are 27,027,081,632 equally likely ordered outcomes, and the most likely total is 307 or 308 at 0.491%.
The roll
Notation5d122
Dice5
Faces per die122
Minimum total5all 5 dice showing 1
Maximum total610all 5 dice showing 122
Distinct totals606
Mean307.5n(f + 1)/2 + modifier, exact
Variance6,201.25n(f² − 1)/12, exact
Standard deviation78.74801585≈
Counting the outcomes
Ordered outcomes27,027,081,632122^5, every die distinguishable
Most likely total307 and 308two totals share the peak
Chance of that total0.490955%≈
Ways to roll it132,690,860exact count
Chance of the minimum3.69999252 × 10^-9%≈1 in 27,027,081,632
Chance of the maximum3.69999252 × 10^-9%≈1 in 27,027,081,632
Shape of the distribution
606 distinct totals, too many to list individually.
1st percentile129≈1.018% of rolls are this or lower
5th percentile178≈5.135% of rolls are this or lower
25th percentile253≈25.21% of rolls are this or lower
50th percentile308≈50.491% of rolls are this or lower
75th percentile362≈75.187% of rolls are this or lower
95th percentile437≈95.004% of rolls are this or lower
99th percentile486≈99.021% of rolls are this or lower
Chance of rolling at least
6699.9694%≈
15697.4198%≈
30850%≈
4592.665%≈
5500.0306%≈
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