Recognised as Dice notation
8d124
- 8d124
- 8 to 992
- mean 500
- mode 500
Rolling 8d124 gives a total between 8 and 992, with a mean of 500 and a standard deviation of 101.2423. There are 55,895,067,029,733,376 equally likely ordered outcomes, and the most likely total is 500 at 0.387%.
The roll
Notation8d124
Dice8
Faces per die124
Minimum total8all 8 dice showing 1
Maximum total992all 8 dice showing 124
Distinct totals985
Mean500n(f + 1)/2 + modifier, exact
Variance10,250n(f² − 1)/12, exact
Standard deviation101.24228366≈
Counting the outcomes
Ordered outcomes55,895,067,029,733,376124^8, every die distinguishable
Most likely total500
Chance of that total0.386596%≈
Ways to roll it216,088,315,364,324exact count
Chance of the minimum1.78906664 × 10^-15%≈1 in 55,895,067,029,733,376
Chance of the maximum1.78906664 × 10^-15%≈1 in 55,895,067,029,733,376
Shape of the distribution
985 distinct totals, too many to list individually.
1st percentile268≈1.009% of rolls are this or lower
5th percentile333≈5.038% of rolls are this or lower
25th percentile431≈25.282% of rolls are this or lower
50th percentile500≈50.193% of rolls are this or lower
75th percentile569≈75.029% of rolls are this or lower
95th percentile667≈95.067% of rolls are this or lower
99th percentile732≈99.02% of rolls are this or lower
Chance of rolling at least
10699.9995%≈
25499.3557%≈
50050.1933%≈
7460.6645%≈
8940.0005%≈
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