Recognised as Dice notation
6d403
- 6d403
- 6 to 2418
- mean 1,212
- mode 1212
Rolling 6d403 gives a total between 6 and 2,418, with a mean of 1,212 and a standard deviation of 284.9632. There are 4,283,810,754,983,929 equally likely ordered outcomes, and the most likely total is 1,212 at 0.136%.
The roll
Notation6d403
Dice6
Faces per die403
Minimum total6all 6 dice showing 1
Maximum total2,418all 6 dice showing 403
Distinct totals2,413
Mean1,212n(f + 1)/2 + modifier, exact
Variance81,204n(f² − 1)/12, exact
Standard deviation284.96315551≈
Counting the outcomes
Ordered outcomes4,283,810,754,983,929403^6, every die distinguishable
Most likely total1,212
Chance of that total0.136477%≈
Ways to roll it5,846,408,212,021exact count
Chance of the minimum2.33437016 × 10^-14%≈1 in 4,283,810,754,983,929
Chance of the maximum2.33437016 × 10^-14%≈1 in 4,283,810,754,983,929
Shape of the distribution
2,413 distinct totals, too many to list individually.
1st percentile563≈1.002% of rolls are this or lower
5th percentile742≈5.02% of rolls are this or lower
25th percentile1,016≈25.105% of rolls are this or lower
50th percentile1,212≈50.068% of rolls are this or lower
75th percentile1,408≈75.005% of rolls are this or lower
95th percentile1,682≈95.018% of rolls are this or lower
99th percentile1,861≈99.008% of rolls are this or lower
Chance of rolling at least
24799.9932%≈
60998.4156%≈
1,21250.0682%≈
1,8151.5998%≈
2,1770.0069%≈
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