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Recognised as Dice notation

2d901

  • 2d901
  • 2 to 1802
  • mean 902
  • mode 902

Rolling 2d901 gives a total between 2 and 1,802, with a mean of 902 and a standard deviation of 367.8315. There are 811,801 equally likely ordered outcomes, and the most likely total is 902 at 0.111%.

The roll

Notation2d901
Dice2
Faces per die901
Minimum total2all 2 dice showing 1
Maximum total1,802all 2 dice showing 901
Distinct totals1,801
Mean902n(f + 1)/2 + modifier, exact
Variance135,300n(f² − 1)/12, exact
Standard deviation367.83148315≈

Counting the outcomes

Ordered outcomes811,801901^2, every die distinguishable
Most likely total902
Chance of that total0.110988%≈
Ways to roll it901exact count
Chance of the minimum0.00012318%≈1 in 811,801
Chance of the maximum0.00012318%≈1 in 811,801

Shape of the distribution

1,801 distinct totals, too many to list individually.

1st percentile128≈1.001% of rolls are this or lower
5th percentile286≈5.02% of rolls are this or lower
25th percentile638≈25.031% of rolls are this or lower
50th percentile902≈50.055% of rolls are this or lower
75th percentile1,166≈75.047% of rolls are this or lower
95th percentile1,518≈95.015% of rolls are this or lower
99th percentile1,676≈99.014% of rolls are this or lower

Chance of rolling at least

18297.9934%≈
45287.5%≈
90250.0555%≈
1,35212.5555%≈
1,6222.0289%≈

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Every value on this page was computed from “2d901” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.