Recognised as Dice notation
93d88
- 93d88
- 93 to 8184
- mean 4,138.5
Rolling 93d88 gives a total between 93 and 8,184, with a mean of 4,138.5 and a standard deviation of 244.9658. There are 6,868,920,816,776,006,613,703,743,653,736,154,948,381,121,321,646,321,950,837,598,779,016,336,898,948,017,485,336,682,778,535,481,930,395,198,730,451,059,629,884,399,567,565,610,146,635,362,859,013,226,602,802,398,507,163,801,844,688,355,328 equally likely ordered outcomes, and the most likely total is 4,138 or 4,139 at 0.163%.
The roll
Notation93d88
Dice93
Faces per die88
Minimum total93all 93 dice showing 1
Maximum total8,184all 93 dice showing 88
Distinct totals8,092
Mean4,138.5n(f + 1)/2 + modifier, exact
Variance60,008.25n(f² − 1)/12, exact
Standard deviation244.96581394≈
Counting the outcomes
Ordered outcomes6,868,920,816,776,006,613,703,743,653,736,154,948,381,121,321,646,321,950,837,598,779,016,336,898,948,017,485,336,682,778,535,481,930,395,198,730,451,059,629,884,399,567,565,610,146,635,362,859,013,226,602,802,398,507,163,801,844,688,355,32888^93, every die distinguishable
Most likely total4,138 and 4,139two totals share the peak
Chance of that total0.162593%≈
Ways to roll it11,168,385,493,699,304,385,686,452,035,720,356,762,614,567,845,700,605,869,606,778,790,088,082,932,019,776,520,156,973,398,052,466,386,253,541,746,905,804,887,751,475,705,308,780,009,346,290,134,844,882,272,191,700,608,078,506,025,883,840exact count
Chance of the minimum1.45583277 × 10^-179%≈1 in 6,868,920,816,776,006,613,703,743,653,736,154,948,381,121,321,646,321,950,837,598,779,016,336,898,948,017,485,336,682,778,535,481,930,395,198,730,451,059,629,884,399,567,565,610,146,635,362,859,013,226,602,802,398,507,163,801,844,688,355,328
Chance of the maximum1.45583277 × 10^-179%≈1 in 6,868,920,816,776,006,613,703,743,653,736,154,948,381,121,321,646,321,950,837,598,779,016,336,898,948,017,485,336,682,778,535,481,930,395,198,730,451,059,629,884,399,567,565,610,146,635,362,859,013,226,602,802,398,507,163,801,844,688,355,328
Shape of the distribution
8,092 distinct totals, too many to list individually.
1st percentile3,569≈1.001% of rolls are this or lower
5th percentile3,736≈5.042% of rolls are this or lower
25th percentile3,973≈25.059% of rolls are this or lower
50th percentile4,139≈50.163% of rolls are this or lower
75th percentile4,304≈75.071% of rolls are this or lower
95th percentile4,541≈95% of rolls are this or lower
99th percentile4,708≈99.009% of rolls are this or lower
Chance of rolling at least
902100%≈
2,116100%≈
4,13950%≈
6,1614.29198722 × 10^-16%≈
7,3756.28611356 × 10^-51%≈
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