Recognised as Dice notation
93d12
- 93d12
- 93 to 1116
- mean 604.5
Rolling 93d12 gives a total between 93 and 1,116, with a mean of 604.5 and a standard deviation of 33.2904. There are 23,112,976,750,158,560,309,992,848,699,048,858,991,880,142,131,089,071,348,679,973,505,753,740,345,173,797,064,266,762,182,272,745,472 equally likely ordered outcomes, and the most likely total is 604 or 605 at 1.196%.
The roll
Notation93d12
Dice93
Faces per die12
Minimum total93all 93 dice showing 1
Maximum total1,116all 93 dice showing 12
Distinct totals1,024
Mean604.5n(f + 1)/2 + modifier, exact
Variance1,108.25n(f² − 1)/12, exact
Standard deviation33.290389≈
Counting the outcomes
Ordered outcomes23,112,976,750,158,560,309,992,848,699,048,858,991,880,142,131,089,071,348,679,973,505,753,740,345,173,797,064,266,762,182,272,745,47212^93, every die distinguishable
Most likely total604 and 605two totals share the peak
Chance of that total1.196275%≈
Ways to roll it276,494,830,386,659,470,078,007,234,524,386,542,225,814,938,125,969,973,411,061,469,497,343,211,836,061,468,378,624,246,136,658,440exact count
Chance of the minimum4.32657382 × 10^-99%≈1 in 23,112,976,750,158,560,309,992,848,699,048,858,991,880,142,131,089,071,348,679,973,505,753,740,345,173,797,064,266,762,182,272,745,472
Chance of the maximum4.32657382 × 10^-99%≈1 in 23,112,976,750,158,560,309,992,848,699,048,858,991,880,142,131,089,071,348,679,973,505,753,740,345,173,797,064,266,762,182,272,745,472
Shape of the distribution
1,024 distinct totals, too many to list individually.
1st percentile527≈1.028% of rolls are this or lower
5th percentile550≈5.242% of rolls are this or lower
25th percentile582≈25.464% of rolls are this or lower
50th percentile605≈51.196% of rolls are this or lower
75th percentile627≈75.489% of rolls are this or lower
95th percentile659≈95.073% of rolls are this or lower
99th percentile682≈99.052% of rolls are this or lower
Chance of rolling at least
195100%≈
349100%≈
60550%≈
8601.13272979 × 10^-13%≈
1,0149.80119301 × 10^-42%≈
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