Recognised as Dice notation
10d93
- 10d93
- 10 to 930
- mean 470
- mode 470
Rolling 10d93 gives a total between 10 and 930, with a mean of 470 and a standard deviation of 84.8921. There are 48,398,230,717,929,318,249 equally likely ordered outcomes, and the most likely total is 470 at 0.463%.
The roll
Notation10d93
Dice10
Faces per die93
Minimum total10all 10 dice showing 1
Maximum total930all 10 dice showing 93
Distinct totals921
Mean470n(f + 1)/2 + modifier, exact
Variance7,206.66666667n(f² − 1)/12, exact
Standard deviation84.89208836≈
Counting the outcomes
Ordered outcomes48,398,230,717,929,318,24993^10, every die distinguishable
Most likely total470
Chance of that total0.46284%≈
Ways to roll it224,006,365,504,456,943exact count
Chance of the minimum2.06619123 × 10^-18%≈1 in 48,398,230,717,929,318,249
Chance of the maximum2.06619123 × 10^-18%≈1 in 48,398,230,717,929,318,249
Shape of the distribution
921 distinct totals, too many to list individually.
1st percentile275≈1.017% of rolls are this or lower
5th percentile330≈5.044% of rolls are this or lower
25th percentile412≈25.188% of rolls are this or lower
50th percentile470≈50.231% of rolls are this or lower
75th percentile528≈75.183% of rolls are this or lower
95th percentile610≈95.08% of rolls are this or lower
99th percentile665≈99.016% of rolls are this or lower
Chance of rolling at least
102100%≈
24099.7322%≈
47050.2314%≈
7000.2789%≈
8380%≈
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