Dice notation
3d970
- 3d970
- 3 to 2910
- mean 1,456.5
Rolling 3d970 gives a total between 3 and 2,910, with a mean of 1,456.5 and a standard deviation of 484.9997. There are 912,673,000 equally likely ordered outcomes, and the most likely total is 1,456 or 1,457 at 0.077%.
The roll
Notation3d970
Dice3
Faces per die970
Minimum total3all 3 dice showing 1
Maximum total2,910all 3 dice showing 970
Distinct totals2,908
Mean1,456.5n(f + 1)/2 + modifier, exact
Variance235,224.75n(f² − 1)/12, exact
Standard deviation484.99974227≈
Counting the outcomes
Ordered outcomes912,673,000970^3, every die distinguishable
Most likely total1,456 and 1,457two totals share the peak
Chance of that total0.07732%≈
Ways to roll it705,675exact count
Chance of the minimum1.09568268 × 10^-7%≈1 in 912,673,000
Chance of the maximum1.09568268 × 10^-7%≈1 in 912,673,000
Shape of the distribution
2,908 distinct totals, too many to list individually.
1st percentile381≈1.002% of rolls are this or lower
5th percentile651≈5.015% of rolls are this or lower
25th percentile1,114≈25.018% of rolls are this or lower
50th percentile1,457≈50.077% of rolls are this or lower
75th percentile1,799≈75.047% of rolls are this or lower
95th percentile2,262≈95.008% of rolls are this or lower
99th percentile2,532≈99.006% of rolls are this or lower
Chance of rolling at least
29499.5454%≈
73092.9543%≈
1,45750%≈
2,1837.0748%≈
2,6190.4593%≈
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