Recognised as Dice notation
3d976
- 3d976
- 3 to 2928
- mean 1,465.5
Rolling 3d976 gives a total between 3 and 2,928, with a mean of 1,465.5 and a standard deviation of 487.9997. There are 929,714,176 equally likely ordered outcomes, and the most likely total is 1,465 or 1,466 at 0.077%.
The roll
Notation3d976
Dice3
Faces per die976
Minimum total3all 3 dice showing 1
Maximum total2,928all 3 dice showing 976
Distinct totals2,926
Mean1,465.5n(f + 1)/2 + modifier, exact
Variance238,143.75n(f² − 1)/12, exact
Standard deviation487.99974385≈
Counting the outcomes
Ordered outcomes929,714,176976^3, every die distinguishable
Most likely total1,465 and 1,466two totals share the peak
Chance of that total0.076844%≈
Ways to roll it714,432exact count
Chance of the minimum1.07559939 × 10^-7%≈1 in 929,714,176
Chance of the maximum1.07559939 × 10^-7%≈1 in 929,714,176
Shape of the distribution
2,926 distinct totals, too many to list individually.
1st percentile384≈1.007% of rolls are this or lower
5th percentile655≈5.015% of rolls are this or lower
25th percentile1,121≈25.025% of rolls are this or lower
50th percentile1,465≈50% of rolls are this or lower
75th percentile1,810≈75.039% of rolls are this or lower
95th percentile2,276≈95.008% of rolls are this or lower
99th percentile2,547≈99.001% of rolls are this or lower
Chance of rolling at least
29699.5444%≈
73492.9688%≈
1,46650%≈
2,1977.0601%≈
2,6360.4556%≈
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