Recognised as Dice notation
5d798
- 5d798
- 5 to 3990
- mean 1,997.5
Rolling 5d798 gives a total between 5 and 3,990, with a mean of 1,997.5 and a standard deviation of 515.1064. There are 323,604,428,863,968 equally likely ordered outcomes, and the most likely total is 1,997 or 1,998 at 0.075%.
The roll
Notation5d798
Dice5
Faces per die798
Minimum total5all 5 dice showing 1
Maximum total3,990all 5 dice showing 798
Distinct totals3,986
Mean1,997.5n(f + 1)/2 + modifier, exact
Variance265,334.58333333n(f² − 1)/12, exact
Standard deviation515.1063806≈
Counting the outcomes
Ordered outcomes323,604,428,863,968798^5, every die distinguishable
Most likely total1,997 and 1,998two totals share the peak
Chance of that total0.075057%≈
Ways to roll it242,889,251,010exact count
Chance of the minimum3.09019256 × 10^-13%≈1 in 323,604,428,863,968
Chance of the maximum3.09019256 × 10^-13%≈1 in 323,604,428,863,968
Shape of the distribution
3,986 distinct totals, too many to list individually.
1st percentile830≈1.002% of rolls are this or lower
5th percentile1,147≈5.003% of rolls are this or lower
25th percentile1,641≈25.041% of rolls are this or lower
50th percentile1,998≈50.075% of rolls are this or lower
75th percentile2,354≈75.02% of rolls are this or lower
95th percentile2,848≈95.018% of rolls are this or lower
99th percentile3,165≈99.004% of rolls are this or lower
Chance of rolling at least
40499.9733%≈
1,00197.4546%≈
1,99850%≈
2,9942.5581%≈
3,5920.0267%≈
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