Recognised as Dice notation
2d424
- 2d424
- 2 to 848
- mean 425
- mode 425
Rolling 2d424 gives a total between 2 and 848, with a mean of 425 and a standard deviation of 173.0968. There are 179,776 equally likely ordered outcomes, and the most likely total is 425 at 0.236%.
The roll
Notation2d424
Dice2
Faces per die424
Minimum total2all 2 dice showing 1
Maximum total848all 2 dice showing 424
Distinct totals847
Mean425n(f + 1)/2 + modifier, exact
Variance29,962.5n(f² − 1)/12, exact
Standard deviation173.09679373≈
Counting the outcomes
Ordered outcomes179,776424^2, every die distinguishable
Most likely total425
Chance of that total0.235849%≈
Ways to roll it424exact count
Chance of the minimum0.00055625%≈1 in 179,776
Chance of the maximum0.00055625%≈1 in 179,776
Shape of the distribution
847 distinct totals, too many to list individually.
1st percentile61≈1.018% of rolls are this or lower
5th percentile135≈5.031% of rolls are this or lower
25th percentile301≈25.115% of rolls are this or lower
50th percentile425≈50.118% of rolls are this or lower
75th percentile549≈75.052% of rolls are this or lower
95th percentile715≈95.043% of rolls are this or lower
99th percentile789≈99.015% of rolls are this or lower
Chance of rolling at least
8797.9669%≈
21487.441%≈
42550.1179%≈
63712.559%≈
7632.0809%≈
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