Recognised as Dice notation
2d516
- 2d516
- 2 to 1032
- mean 517
- mode 517
Rolling 2d516 gives a total between 2 and 1,032, with a mean of 517 and a standard deviation of 210.6557. There are 266,256 equally likely ordered outcomes, and the most likely total is 517 at 0.194%.
The roll
Notation2d516
Dice2
Faces per die516
Minimum total2all 2 dice showing 1
Maximum total1,032all 2 dice showing 516
Distinct totals1,031
Mean517n(f + 1)/2 + modifier, exact
Variance44,375.83333333n(f² − 1)/12, exact
Standard deviation210.65572229≈
Counting the outcomes
Ordered outcomes266,256516^2, every die distinguishable
Most likely total517
Chance of that total0.193798%≈
Ways to roll it516exact count
Chance of the minimum0.00037558%≈1 in 266,256
Chance of the maximum0.00037558%≈1 in 266,256
Shape of the distribution
1,031 distinct totals, too many to list individually.
1st percentile74≈1.014% of rolls are this or lower
5th percentile164≈5.02% of rolls are this or lower
25th percentile366≈25.087% of rolls are this or lower
50th percentile517≈50.097% of rolls are this or lower
75th percentile668≈75.05% of rolls are this or lower
95th percentile870≈95.041% of rolls are this or lower
99th percentile960≈99.013% of rolls are this or lower
Chance of rolling at least
10597.9884%≈
26087.4516%≈
51750.0969%≈
77512.5484%≈
9292.0507%≈
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