Recognised as Dice notation
3d708
- 3d708
- 3 to 2124
- mean 1,063.5
Rolling 3d708 gives a total between 3 and 2,124, with a mean of 1,063.5 and a standard deviation of 353.9996. There are 354,894,912 equally likely ordered outcomes, and the most likely total is 1,063 or 1,064 at 0.106%.
The roll
Notation3d708
Dice3
Faces per die708
Minimum total3all 3 dice showing 1
Maximum total2,124all 3 dice showing 708
Distinct totals2,122
Mean1,063.5n(f + 1)/2 + modifier, exact
Variance125,315.75n(f² − 1)/12, exact
Standard deviation353.99964689≈
Counting the outcomes
Ordered outcomes354,894,912708^3, every die distinguishable
Most likely total1,063 and 1,064two totals share the peak
Chance of that total0.105932%≈
Ways to roll it375,948exact count
Chance of the minimum2.81773552 × 10^-7%≈1 in 354,894,912
Chance of the maximum2.81773552 × 10^-7%≈1 in 354,894,912
Shape of the distribution
2,122 distinct totals, too many to list individually.
1st percentile279≈1.009% of rolls are this or lower
5th percentile475≈5.001% of rolls are this or lower
25th percentile814≈25.073% of rolls are this or lower
50th percentile1,064≈50.106% of rolls are this or lower
75th percentile1,313≈75.016% of rolls are this or lower
95th percentile1,652≈95.03% of rolls are this or lower
99th percentile1,848≈99.002% of rolls are this or lower
Chance of rolling at least
21599.5462%≈
53392.9688%≈
1,06450%≈
1,5947.071%≈
1,9120.4602%≈
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