Dice notation
3d624
- 3d624
- 3 to 1872
- mean 937.5
Rolling 3d624 gives a total between 3 and 1,872, with a mean of 937.5 and a standard deviation of 311.9996. There are 242,970,624 equally likely ordered outcomes, and the most likely total is 937 or 938 at 0.12%.
The roll
Notation3d624
Dice3
Faces per die624
Minimum total3all 3 dice showing 1
Maximum total1,872all 3 dice showing 624
Distinct totals1,870
Mean937.5n(f + 1)/2 + modifier, exact
Variance97,343.75n(f² − 1)/12, exact
Standard deviation311.99959936≈
Counting the outcomes
Ordered outcomes242,970,624624^3, every die distinguishable
Most likely total937 and 938two totals share the peak
Chance of that total0.120192%≈
Ways to roll it292,032exact count
Chance of the minimum4.11572388 × 10^-7%≈1 in 242,970,624
Chance of the maximum4.11572388 × 10^-7%≈1 in 242,970,624
Shape of the distribution
1,870 distinct totals, too many to list individually.
1st percentile246≈1.009% of rolls are this or lower
5th percentile419≈5.01% of rolls are this or lower
25th percentile717≈25.018% of rolls are this or lower
50th percentile938≈50.12% of rolls are this or lower
75th percentile1,158≈75.082% of rolls are this or lower
95th percentile1,456≈95.026% of rolls are this or lower
99th percentile1,629≈99.004% of rolls are this or lower
Chance of rolling at least
19099.5442%≈
47092.9688%≈
93850%≈
1,4057.0764%≈
1,6850.4631%≈
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