Recognised as Dice notation
9d800
- 9d800
- 9 to 7200
- mean 3,604.5
Rolling 9d800 gives a total between 9 and 7,200, with a mean of 3,604.5 and a standard deviation of 692.8198. There are 134,217,728,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 3,604 or 3,605 at 0.057%.
The roll
Notation9d800
Dice9
Faces per die800
Minimum total9all 9 dice showing 1
Maximum total7,200all 9 dice showing 800
Distinct totals7,192
Mean3,604.5n(f + 1)/2 + modifier, exact
Variance479,999.25n(f² − 1)/12, exact
Standard deviation692.81978176≈
Counting the outcomes
Ordered outcomes134,217,728,000,000,000,000,000,000800^9, every die distinguishable
Most likely total3,604 and 3,605two totals share the peak
Chance of that total0.056615%≈
Ways to roll it75,987,566,134,881,222,870,000exact count
Chance of the minimum7.4505806 × 10^-25%≈1 in 134,217,728,000,000,000,000,000,000
Chance of the maximum7.4505806 × 10^-25%≈1 in 134,217,728,000,000,000,000,000,000
Shape of the distribution
7,192 distinct totals, too many to list individually.
1st percentile2,015≈1.001% of rolls are this or lower
5th percentile2,463≈5.009% of rolls are this or lower
25th percentile3,130≈25.004% of rolls are this or lower
50th percentile3,604≈50% of rolls are this or lower
75th percentile4,079≈75.041% of rolls are this or lower
95th percentile4,746≈95.006% of rolls are this or lower
99th percentile5,194≈99.003% of rolls are this or lower
Chance of rolling at least
72899.9999%≈
1,80799.6075%≈
3,60550%≈
5,4020.3944%≈
6,4810.0001%≈
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