Dice notation
88d10
- 88d10
- 88 to 880
- mean 484
- mode 484
Rolling 88d10 gives a total between 88 and 880, with a mean of 484 and a standard deviation of 26.9444. There are 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 484 at 1.478%.
The roll
Notation88d10
Dice88
Faces per die10
Minimum total88all 88 dice showing 1
Maximum total880all 88 dice showing 10
Distinct totals793
Mean484n(f + 1)/2 + modifier, exact
Variance726n(f² − 1)/12, exact
Standard deviation26.94438717≈
Counting the outcomes
Ordered outcomes10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,00010^88, every die distinguishable
Most likely total484
Chance of that total1.478037%≈
Ways to roll it147,803,690,249,353,793,831,835,578,756,919,945,270,648,840,422,121,798,343,465,830,237,679,031,761,117,155,521,520exact count
Chance of the minimum1 × 10^-86%≈1 in 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Chance of the maximum1 × 10^-86%≈1 in 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Shape of the distribution
793 distinct totals, too many to list individually.
1st percentile421≈1.009% of rolls are this or lower
5th percentile440≈5.325% of rolls are this or lower
25th percentile466≈25.831% of rolls are this or lower
50th percentile484≈50.739% of rolls are this or lower
75th percentile502≈75.353% of rolls are this or lower
95th percentile528≈95.067% of rolls are this or lower
99th percentile547≈99.087% of rolls are this or lower
Chance of rolling at least
167100%≈
286100%≈
48450.739%≈
6821.78355862 × 10^-12%≈
8018.73877877 × 10^-38%≈
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