Recognised as Dice notation
6d424
- 6d424
- 6 to 2544
- mean 1,275
- mode 1275
Rolling 6d424 gives a total between 6 and 2,544, with a mean of 1,275 and a standard deviation of 299.8124. There are 5,810,254,283,800,576 equally likely ordered outcomes, and the most likely total is 1,275 at 0.13%.
The roll
Notation6d424
Dice6
Faces per die424
Minimum total6all 6 dice showing 1
Maximum total2,544all 6 dice showing 424
Distinct totals2,539
Mean1,275n(f + 1)/2 + modifier, exact
Variance89,887.5n(f² − 1)/12, exact
Standard deviation299.81244137≈
Counting the outcomes
Ordered outcomes5,810,254,283,800,576424^6, every die distinguishable
Most likely total1,275
Chance of that total0.129717%≈
Ways to roll it7,536,905,509,384exact count
Chance of the minimum1.72109507 × 10^-14%≈1 in 5,810,254,283,800,576
Chance of the maximum1.72109507 × 10^-14%≈1 in 5,810,254,283,800,576
Shape of the distribution
2,539 distinct totals, too many to list individually.
1st percentile592≈1% of rolls are this or lower
5th percentile780≈5.001% of rolls are this or lower
25th percentile1,068≈25.02% of rolls are this or lower
50th percentile1,275≈50.065% of rolls are this or lower
75th percentile1,482≈75.084% of rolls are this or lower
95th percentile1,770≈95.035% of rolls are this or lower
99th percentile1,958≈99.01% of rolls are this or lower
Chance of rolling at least
26099.9932%≈
64198.4091%≈
1,27550.0649%≈
1,9101.5909%≈
2,2900.007%≈
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