Dice notation
5d393
- 5d393
- 5 to 1965
- mean 985
- mode 985
Rolling 5d393 gives a total between 5 and 1,965, with a mean of 985 and a standard deviation of 253.6796. There are 9,374,815,985,193 equally likely ordered outcomes, and the most likely total is 985 at 0.152%.
The roll
Notation5d393
Dice5
Faces per die393
Minimum total5all 5 dice showing 1
Maximum total1,965all 5 dice showing 393
Distinct totals1,961
Mean985n(f + 1)/2 + modifier, exact
Variance64,353.33333333n(f² − 1)/12, exact
Standard deviation253.67958793≈
Counting the outcomes
Ordered outcomes9,374,815,985,193393^5, every die distinguishable
Most likely total985
Chance of that total0.152407%≈
Ways to roll it14,287,887,951exact count
Chance of the minimum1.0666876 × 10^-11%≈1 in 9,374,815,985,193
Chance of the maximum1.0666876 × 10^-11%≈1 in 9,374,815,985,193
Shape of the distribution
1,961 distinct totals, too many to list individually.
1st percentile410≈1.005% of rolls are this or lower
5th percentile566≈5.008% of rolls are this or lower
25th percentile809≈25.019% of rolls are this or lower
50th percentile985≈50.076% of rolls are this or lower
75th percentile1,161≈75.104% of rolls are this or lower
95th percentile1,404≈95.035% of rolls are this or lower
99th percentile1,560≈99.007% of rolls are this or lower
Chance of rolling at least
20199.973%≈
49597.4417%≈
98550.0762%≈
1,4752.5843%≈
1,7690.0277%≈
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