Recognised as Dice notation
4d146
- 4d146
- 4 to 584
- mean 294
- mode 294
Rolling 4d146 gives a total between 4 and 584, with a mean of 294 and a standard deviation of 84.2912. There are 454,371,856 equally likely ordered outcomes, and the most likely total is 294 at 0.457%.
The roll
Notation4d146
Dice4
Faces per die146
Minimum total4all 4 dice showing 1
Maximum total584all 4 dice showing 146
Distinct totals581
Mean294n(f + 1)/2 + modifier, exact
Variance7,105n(f² − 1)/12, exact
Standard deviation84.29116205≈
Counting the outcomes
Ordered outcomes454,371,856146^4, every die distinguishable
Most likely total294
Chance of that total0.456632%≈
Ways to roll it2,074,806exact count
Chance of the minimum2.20084054 × 10^-7%≈1 in 454,371,856
Chance of the maximum2.20084054 × 10^-7%≈1 in 454,371,856
Shape of the distribution
581 distinct totals, too many to list individually.
1st percentile104≈1.012% of rolls are this or lower
5th percentile155≈5.09% of rolls are this or lower
25th percentile235≈25.109% of rolls are this or lower
50th percentile294≈50.228% of rolls are this or lower
75th percentile353≈75.258% of rolls are this or lower
95th percentile433≈95.041% of rolls are this or lower
99th percentile484≈99.027% of rolls are this or lower
Chance of rolling at least
6299.8851%≈
14995.7765%≈
29450.2283%≈
4394.3401%≈
5260.1228%≈
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