Recognised as Dice notation
19d87
- 19d87
- 19 to 1653
- mean 836
- mode 836
Rolling 19d87 gives a total between 19 and 1,653, with a mean of 836 and a standard deviation of 109.4654. There are 7,093,585,369,945,932,256,195,429,028,464,404,423 equally likely ordered outcomes, and the most likely total is 836 at 0.362%.
The roll
Notation19d87
Dice19
Faces per die87
Minimum total19all 19 dice showing 1
Maximum total1,653all 19 dice showing 87
Distinct totals1,635
Mean836n(f + 1)/2 + modifier, exact
Variance11,982.66666667n(f² − 1)/12, exact
Standard deviation109.46536743≈
Counting the outcomes
Ordered outcomes7,093,585,369,945,932,256,195,429,028,464,404,42387^19, every die distinguishable
Most likely total836
Chance of that total0.361557%≈
Ways to roll it25,647,349,622,151,663,109,677,339,430,676,395exact count
Chance of the minimum1.40972435 × 10^-35%≈1 in 7,093,585,369,945,932,256,195,429,028,464,404,423
Chance of the maximum1.40972435 × 10^-35%≈1 in 7,093,585,369,945,932,256,195,429,028,464,404,423
Shape of the distribution
1,635 distinct totals, too many to list individually.
1st percentile583≈1.013% of rolls are this or lower
5th percentile656≈5.067% of rolls are this or lower
25th percentile762≈25.242% of rolls are this or lower
50th percentile836≈50.181% of rolls are this or lower
75th percentile910≈75.048% of rolls are this or lower
95th percentile1,016≈95.029% of rolls are this or lower
99th percentile1,089≈99.012% of rolls are this or lower
Chance of rolling at least
182100%≈
42899.9943%≈
83650.1808%≈
1,2450.0057%≈
1,4903.82615481 × 10^-10%≈
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