Recognised as Dice notation
3d358
- 3d358
- 3 to 1074
- mean 538.5
Rolling 3d358 gives a total between 3 and 1,074, with a mean of 538.5 and a standard deviation of 178.9993. There are 45,882,712 equally likely ordered outcomes, and the most likely total is 538 or 539 at 0.209%.
The roll
Notation3d358
Dice3
Faces per die358
Minimum total3all 3 dice showing 1
Maximum total1,074all 3 dice showing 358
Distinct totals1,072
Mean538.5n(f + 1)/2 + modifier, exact
Variance32,040.75n(f² − 1)/12, exact
Standard deviation178.99930167≈
Counting the outcomes
Ordered outcomes45,882,712358^3, every die distinguishable
Most likely total538 and 539two totals share the peak
Chance of that total0.209497%≈
Ways to roll it96,123exact count
Chance of the minimum0.00000218%≈1 in 45,882,712
Chance of the maximum0.00000218%≈1 in 45,882,712
Shape of the distribution
1,072 distinct totals, too many to list individually.
1st percentile142≈1.018% of rolls are this or lower
5th percentile241≈5.021% of rolls are this or lower
25th percentile412≈25.057% of rolls are this or lower
50th percentile538≈50% of rolls are this or lower
75th percentile665≈75.118% of rolls are this or lower
95th percentile836≈95.041% of rolls are this or lower
99th percentile935≈99.003% of rolls are this or lower
Chance of rolling at least
11099.5425%≈
27192.9295%≈
53950%≈
8067.1497%≈
9670.4704%≈
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