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Recognised as Dice notation

2d300

  • 2d300
  • 2 to 600
  • mean 301
  • mode 301

Rolling 2d300 gives a total between 2 and 600, with a mean of 301 and a standard deviation of 122.4738. There are 90,000 equally likely ordered outcomes, and the most likely total is 301 at 0.333%.

The roll

Notation2d300
Dice2
Faces per die300
Minimum total2all 2 dice showing 1
Maximum total600all 2 dice showing 300
Distinct totals599
Mean301n(f + 1)/2 + modifier, exact
Variance14,999.83333333n(f² − 1)/12, exact
Standard deviation122.47380672≈

Counting the outcomes

Ordered outcomes90,000300^2, every die distinguishable
Most likely total301
Chance of that total0.333333%≈
Ways to roll it300exact count
Chance of the minimum0.00111111%≈1 in 90,000
Chance of the maximum0.00111111%≈1 in 90,000

Shape of the distribution

599 distinct totals, too many to list individually.

1st percentile43≈1.003% of rolls are this or lower
5th percentile96≈5.067% of rolls are this or lower
25th percentile213≈25.087% of rolls are this or lower
50th percentile301≈50.167% of rolls are this or lower
75th percentile389≈75.149% of rolls are this or lower
95th percentile506≈95.039% of rolls are this or lower
99th percentile559≈99.043% of rolls are this or lower

Chance of rolling at least

6297.9667%≈
15287.4167%≈
30150.1667%≈
45112.5833%≈
5402.1011%≈

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Every value on this page was computed from “2d300” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.