Recognised as Dice notation
3d124
- 3d124
- 3 to 372
- mean 187.5
Rolling 3d124 gives a total between 3 and 372, with a mean of 187.5 and a standard deviation of 61.998. There are 1,906,624 equally likely ordered outcomes, and the most likely total is 187 or 188 at 0.605%.
The roll
Notation3d124
Dice3
Faces per die124
Minimum total3all 3 dice showing 1
Maximum total372all 3 dice showing 124
Distinct totals370
Mean187.5n(f + 1)/2 + modifier, exact
Variance3,843.75n(f² − 1)/12, exact
Standard deviation61.99798384≈
Counting the outcomes
Ordered outcomes1,906,624124^3, every die distinguishable
Most likely total187 and 188two totals share the peak
Chance of that total0.604839%≈
Ways to roll it11,532exact count
Chance of the minimum0.00005245%≈1 in 1,906,624
Chance of the maximum0.00005245%≈1 in 1,906,624
Shape of the distribution
370 distinct totals, too many to list individually.
1st percentile50≈1.028% of rolls are this or lower
5th percentile85≈5.18% of rolls are this or lower
25th percentile144≈25.381% of rolls are this or lower
50th percentile187≈50% of rolls are this or lower
75th percentile231≈75.124% of rolls are this or lower
95th percentile290≈95.002% of rolls are this or lower
99th percentile325≈99.034% of rolls are this or lower
Chance of rolling at least
4099.5207%≈
9592.9696%≈
18850%≈
2807.2597%≈
3350.5182%≈
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page