Dice notation
3d518
- 3d518
- 3 to 1554
- mean 778.5
Rolling 3d518 gives a total between 3 and 1,554, with a mean of 778.5 and a standard deviation of 258.9995. There are 138,991,832 equally likely ordered outcomes, and the most likely total is 778 or 779 at 0.145%.
The roll
Notation3d518
Dice3
Faces per die518
Minimum total3all 3 dice showing 1
Maximum total1,554all 3 dice showing 518
Distinct totals1,552
Mean778.5n(f + 1)/2 + modifier, exact
Variance67,080.75n(f² − 1)/12, exact
Standard deviation258.99951737≈
Counting the outcomes
Ordered outcomes138,991,832518^3, every die distinguishable
Most likely total778 and 779two totals share the peak
Chance of that total0.144788%≈
Ways to roll it201,243exact count
Chance of the minimum7.19466738 × 10^-7%≈1 in 138,991,832
Chance of the maximum7.19466738 × 10^-7%≈1 in 138,991,832
Shape of the distribution
1,552 distinct totals, too many to list individually.
1st percentile204≈1.003% of rolls are this or lower
5th percentile348≈5.01% of rolls are this or lower
25th percentile596≈25.094% of rolls are this or lower
50th percentile778≈50% of rolls are this or lower
75th percentile961≈75.026% of rolls are this or lower
95th percentile1,209≈95.033% of rolls are this or lower
99th percentile1,353≈99.012% of rolls are this or lower
Chance of rolling at least
15899.5448%≈
39192.9416%≈
77950%≈
1,1667.113%≈
1,3990.464%≈
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