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Dice notation

2d180

  • 2d180
  • 2 to 360
  • mean 181
  • mode 181

Rolling 2d180 gives a total between 2 and 360, with a mean of 181 and a standard deviation of 73.4836. There are 32,400 equally likely ordered outcomes, and the most likely total is 181 at 0.556%.

The roll

Notation2d180
Dice2
Faces per die180
Minimum total2all 2 dice showing 1
Maximum total360all 2 dice showing 180
Distinct totals359
Mean181n(f + 1)/2 + modifier, exact
Variance5,399.83333333n(f² − 1)/12, exact
Standard deviation73.48355825

Counting the outcomes

Ordered outcomes32,400180^2, every die distinguishable
Most likely total181
Chance of that total0.555556%
Ways to roll it180exact count
Chance of the minimum0.00308642%1 in 32,400
Chance of the maximum0.00308642%1 in 32,400

Shape of the distribution

359 distinct totals, too many to list individually.

1st percentile261.003% of rolls are this or lower
5th percentile585.102% of rolls are this or lower
25th percentile12825.086% of rolls are this or lower
50th percentile18150.278% of rolls are this or lower
75th percentile23475.306% of rolls are this or lower
95th percentile30495.074% of rolls are this or lower
99th percentile33699.074% of rolls are this or lower

Chance of rolling at least

3897.9444%
9287.3611%
18150.2778%
27112.6389%
3242.1698%

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Every value on this page was computed from “2d180” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.