Recognised as Dice notation
5d215
- 5d215
- 5 to 1075
- mean 540
- mode 540
Rolling 5d215 gives a total between 5 and 1,075, with a mean of 540 and a standard deviation of 138.7804. There are 459,401,384,375 equally likely ordered outcomes, and the most likely total is 540 at 0.279%.
The roll
Notation5d215
Dice5
Faces per die215
Minimum total5all 5 dice showing 1
Maximum total1,075all 5 dice showing 215
Distinct totals1,071
Mean540n(f + 1)/2 + modifier, exact
Variance19,260n(f² − 1)/12, exact
Standard deviation138.78040207≈
Counting the outcomes
Ordered outcomes459,401,384,375215^5, every die distinguishable
Most likely total540
Chance of that total0.278588%≈
Ways to roll it1,279,836,631exact count
Chance of the minimum2.17674573 × 10^-10%≈1 in 459,401,384,375
Chance of the maximum2.17674573 × 10^-10%≈1 in 459,401,384,375
Shape of the distribution
1,071 distinct totals, too many to list individually.
1st percentile225≈1% of rolls are this or lower
5th percentile311≈5.043% of rolls are this or lower
25th percentile444≈25.134% of rolls are this or lower
50th percentile540≈50.139% of rolls are this or lower
75th percentile636≈75.091% of rolls are this or lower
95th percentile769≈95.036% of rolls are this or lower
99th percentile855≈99.022% of rolls are this or lower
Chance of rolling at least
11299.9721%≈
27397.4019%≈
54050.1393%≈
8082.5981%≈
9680.0292%≈
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