Recognised as Dice notation
4d127
- 4d127
- 4 to 508
- mean 256
- mode 256
Rolling 4d127 gives a total between 4 and 508, with a mean of 256 and a standard deviation of 73.3212. There are 260,144,641 equally likely ordered outcomes, and the most likely total is 256 at 0.525%.
The roll
Notation4d127
Dice4
Faces per die127
Minimum total4all 4 dice showing 1
Maximum total508all 4 dice showing 127
Distinct totals505
Mean256n(f + 1)/2 + modifier, exact
Variance5,376n(f² − 1)/12, exact
Standard deviation73.32121112≈
Counting the outcomes
Ordered outcomes260,144,641127^4, every die distinguishable
Most likely total256
Chance of that total0.524951%≈
Ways to roll it1,365,631exact count
Chance of the minimum3.84401538 × 10^-7%≈1 in 260,144,641
Chance of the maximum3.84401538 × 10^-7%≈1 in 260,144,641
Shape of the distribution
505 distinct totals, too many to list individually.
1st percentile91≈1.027% of rolls are this or lower
5th percentile135≈5.087% of rolls are this or lower
25th percentile205≈25.273% of rolls are this or lower
50th percentile256≈50.262% of rolls are this or lower
75th percentile307≈75.15% of rolls are this or lower
95th percentile377≈95.064% of rolls are this or lower
99th percentile421≈99.018% of rolls are this or lower
Chance of rolling at least
5499.8874%≈
13095.768%≈
25650.2625%≈
3824.3664%≈
4580.1216%≈
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