Dice notation
3d652
- 3d652
- 3 to 1956
- mean 979.5
Rolling 3d652 gives a total between 3 and 1,956, with a mean of 979.5 and a standard deviation of 325.9996. There are 277,167,808 equally likely ordered outcomes, and the most likely total is 979 or 980 at 0.115%.
The roll
Notation3d652
Dice3
Faces per die652
Minimum total3all 3 dice showing 1
Maximum total1,956all 3 dice showing 652
Distinct totals1,954
Mean979.5n(f + 1)/2 + modifier, exact
Variance106,275.75n(f² − 1)/12, exact
Standard deviation325.99961656≈
Counting the outcomes
Ordered outcomes277,167,808652^3, every die distinguishable
Most likely total979 and 980two totals share the peak
Chance of that total0.115031%≈
Ways to roll it318,828exact count
Chance of the minimum3.60792261 × 10^-7%≈1 in 277,167,808
Chance of the maximum3.60792261 × 10^-7%≈1 in 277,167,808
Shape of the distribution
1,954 distinct totals, too many to list individually.
1st percentile257≈1.009% of rolls are this or lower
5th percentile438≈5.018% of rolls are this or lower
25th percentile749≈25.006% of rolls are this or lower
50th percentile979≈50% of rolls are this or lower
75th percentile1,210≈75.09% of rolls are this or lower
95th percentile1,521≈95.016% of rolls are this or lower
99th percentile1,702≈99.003% of rolls are this or lower
Chance of rolling at least
19899.5472%≈
49192.9688%≈
98050%≈
1,4687.0744%≈
1,7610.4597%≈
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