Recognised as Dice notation
5d155
- 5d155
- 5 to 775
- mean 390
- mode 390
Rolling 5d155 gives a total between 5 and 775, with a mean of 390 and a standard deviation of 100.05. There are 89,466,096,875 equally likely ordered outcomes, and the most likely total is 390 at 0.386%.
The roll
Notation5d155
Dice5
Faces per die155
Minimum total5all 5 dice showing 1
Maximum total775all 5 dice showing 155
Distinct totals771
Mean390n(f + 1)/2 + modifier, exact
Variance10,010n(f² − 1)/12, exact
Standard deviation100.04998751≈
Counting the outcomes
Ordered outcomes89,466,096,875155^5, every die distinguishable
Most likely total390
Chance of that total0.386432%≈
Ways to roll it345,725,381exact count
Chance of the minimum1.11774184 × 10^-9%≈1 in 89,466,096,875
Chance of the maximum1.11774184 × 10^-9%≈1 in 89,466,096,875
Shape of the distribution
771 distinct totals, too many to list individually.
1st percentile163≈1.007% of rolls are this or lower
5th percentile225≈5.069% of rolls are this or lower
25th percentile321≈25.243% of rolls are this or lower
50th percentile390≈50.193% of rolls are this or lower
75th percentile459≈75.07% of rolls are this or lower
95th percentile555≈95.041% of rolls are this or lower
99th percentile617≈99.023% of rolls are this or lower
Chance of rolling at least
8299.9714%≈
19897.3789%≈
39050.1932%≈
5832.6211%≈
6980.0305%≈
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