Dice notation
3d944
- 3d944
- 3 to 2832
- mean 1,417.5
Rolling 3d944 gives a total between 3 and 2,832, with a mean of 1,417.5 and a standard deviation of 471.9997. There are 841,232,384 equally likely ordered outcomes, and the most likely total is 1,417 or 1,418 at 0.079%.
The roll
Notation3d944
Dice3
Faces per die944
Minimum total3all 3 dice showing 1
Maximum total2,832all 3 dice showing 944
Distinct totals2,830
Mean1,417.5n(f + 1)/2 + modifier, exact
Variance222,783.75n(f² − 1)/12, exact
Standard deviation471.99973517≈
Counting the outcomes
Ordered outcomes841,232,384944^3, every die distinguishable
Most likely total1,417 and 1,418two totals share the peak
Chance of that total0.079449%≈
Ways to roll it668,352exact count
Chance of the minimum1.18873217 × 10^-7%≈1 in 841,232,384
Chance of the maximum1.18873217 × 10^-7%≈1 in 841,232,384
Shape of the distribution
2,830 distinct totals, too many to list individually.
1st percentile371≈1.004% of rolls are this or lower
5th percentile633≈5.001% of rolls are this or lower
25th percentile1,084≈25.007% of rolls are this or lower
50th percentile1,418≈50.079% of rolls are this or lower
75th percentile1,751≈75.06% of rolls are this or lower
95th percentile2,202≈95.022% of rolls are this or lower
99th percentile2,464≈99.005% of rolls are this or lower
Chance of rolling at least
28699.5462%≈
71092.9688%≈
1,41850%≈
2,1257.0611%≈
2,5490.4586%≈
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