Recognised as Dice notation

93d15

93d15
93 to 1395
mean 744
mode 744

Rolling 93d15 gives a total between 93 and 1,395, with a mean of 744 and a standard deviation of 41.6653. There are 23,795,075,777,095,359,116,073,069,304,335,314,992,834,773,662,983,360,639,651,863,989,245,915,431,691,713,592,954,329,214,990,139,007,568,359,375 equally likely ordered outcomes, and the most likely total is 744 at 0.956%.

The roll

Notation93d15

Dice93

Faces per die15

Minimum total93all 93 dice showing 1

Maximum total1,395all 93 dice showing 15

Distinct totals1,303

Mean744n(f + 1)/2 + modifier, exact

Variance1,736n(f² − 1)/12, exact

Standard deviation41.66533331≈

Counting the outcomes

Ordered outcomes23,795,075,777,095,359,116,073,069,304,335,314,992,834,773,662,983,360,639,651,863,989,245,915,431,691,713,592,954,329,214,990,139,007,568,359,37515^93, every die distinguishable

Most likely total744

Chance of that total0.955933%≈

Ways to roll it227,464,923,596,387,012,341,054,120,533,823,327,427,538,256,623,180,977,919,957,314,412,151,067,019,771,598,821,764,976,041,563,275,997,938,421exact count

Chance of the minimum4.20255018 × 10^-108%≈1 in 23,795,075,777,095,359,116,073,069,304,335,314,992,834,773,662,983,360,639,651,863,989,245,915,431,691,713,592,954,329,214,990,139,007,568,359,375

Chance of the maximum4.20255018 × 10^-108%≈1 in 23,795,075,777,095,359,116,073,069,304,335,314,992,834,773,662,983,360,639,651,863,989,245,915,431,691,713,592,954,329,214,990,139,007,568,359,375

Shape of the distribution

1,303 distinct totals, too many to list individually.

1st percentile647≈1.019% of rolls are this or lower

5th percentile675≈5.011% of rolls are this or lower

25th percentile716≈25.491% of rolls are this or lower

50th percentile744≈50.478% of rolls are this or lower

75th percentile772≈75.273% of rolls are this or lower

95th percentile813≈95.233% of rolls are this or lower

99th percentile841≈99.044% of rolls are this or lower

Chance of rolling at least

223100%≈

419100%≈

74450.478%≈

1,0702.86699089 × 10^-14%≈

1,2651.37601942 × 10^-43%≈

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