Recognised as Dice notation
2d900
- 2d900
- 2 to 1800
- mean 901
- mode 901
Rolling 2d900 gives a total between 2 and 1,800, with a mean of 901 and a standard deviation of 367.4232. There are 810,000 equally likely ordered outcomes, and the most likely total is 901 at 0.111%.
The roll
Notation2d900
Dice2
Faces per die900
Minimum total2all 2 dice showing 1
Maximum total1,800all 2 dice showing 900
Distinct totals1,799
Mean901n(f + 1)/2 + modifier, exact
Variance134,999.83333333n(f² − 1)/12, exact
Standard deviation367.42323461≈
Counting the outcomes
Ordered outcomes810,000900^2, every die distinguishable
Most likely total901
Chance of that total0.111111%≈
Ways to roll it900exact count
Chance of the minimum0.00012346%≈1 in 810,000
Chance of the maximum0.00012346%≈1 in 810,000
Shape of the distribution
1,799 distinct totals, too many to list individually.
1st percentile128≈1.003% of rolls are this or lower
5th percentile286≈5.031% of rolls are this or lower
25th percentile637≈25.008% of rolls are this or lower
50th percentile901≈50.056% of rolls are this or lower
75th percentile1,165≈75.07% of rolls are this or lower
95th percentile1,516≈95.004% of rolls are this or lower
99th percentile1,674≈99.012% of rolls are this or lower
Chance of rolling at least
18297.9889%≈
45287.4722%≈
90150.0556%≈
1,35112.5278%≈
1,6202.0335%≈
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