Recognised as Dice notation
3d292
- 3d292
- 3 to 876
- mean 439.5
Rolling 3d292 gives a total between 3 and 876, with a mean of 439.5 and a standard deviation of 145.9991. There are 24,897,088 equally likely ordered outcomes, and the most likely total is 439 or 440 at 0.257%.
The roll
Notation3d292
Dice3
Faces per die292
Minimum total3all 3 dice showing 1
Maximum total876all 3 dice showing 292
Distinct totals874
Mean439.5n(f + 1)/2 + modifier, exact
Variance21,315.75n(f² − 1)/12, exact
Standard deviation145.99914383≈
Counting the outcomes
Ordered outcomes24,897,088292^3, every die distinguishable
Most likely total439 and 440two totals share the peak
Chance of that total0.256849%≈
Ways to roll it63,948exact count
Chance of the minimum0.00000402%≈1 in 24,897,088
Chance of the maximum0.00000402%≈1 in 24,897,088
Shape of the distribution
874 distinct totals, too many to list individually.
1st percentile116≈1.018% of rolls are this or lower
5th percentile197≈5.04% of rolls are this or lower
25th percentile336≈25.007% of rolls are this or lower
50th percentile440≈50.257% of rolls are this or lower
75th percentile543≈75.206% of rolls are this or lower
95th percentile682≈95.036% of rolls are this or lower
99th percentile763≈99.008% of rolls are this or lower
Chance of rolling at least
9099.5439%≈
22192.9689%≈
44050%≈
6587.1279%≈
7890.4719%≈
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