Recognised as Dice notation
85d65
- 85d65
- 85 to 5525
- mean 2,805
- mode 2805
Rolling 85d65 gives a total between 85 and 5,525, with a mean of 2,805 and a standard deviation of 172.974. There are 12,520,893,300,916,973,570,028,372,988,279,248,121,147,870,002,858,362,036,338,685,923,137,397,999,448,695,709,135,673,367,388,786,973,349,799,926,656,135,407,032,621,742,473,565,973,341,464,996,337,890,625 equally likely ordered outcomes, and the most likely total is 2,805 at 0.23%.
The roll
Notation85d65
Dice85
Faces per die65
Minimum total85all 85 dice showing 1
Maximum total5,525all 85 dice showing 65
Distinct totals5,441
Mean2,805n(f + 1)/2 + modifier, exact
Variance29,920n(f² − 1)/12, exact
Standard deviation172.97398648≈
Counting the outcomes
Ordered outcomes12,520,893,300,916,973,570,028,372,988,279,248,121,147,870,002,858,362,036,338,685,923,137,397,999,448,695,709,135,673,367,388,786,973,349,799,926,656,135,407,032,621,742,473,565,973,341,464,996,337,890,62565^85, every die distinguishable
Most likely total2,805
Chance of that total0.23023%≈
Ways to roll it28,826,801,117,479,168,302,250,293,425,532,198,467,223,807,840,695,677,904,600,329,315,797,518,437,628,112,338,157,638,497,985,371,247,318,342,483,602,547,025,974,244,937,254,752,657,694,715,837,902,845exact count
Chance of the minimum7.9866506 × 10^-153%≈1 in 12,520,893,300,916,973,570,028,372,988,279,248,121,147,870,002,858,362,036,338,685,923,137,397,999,448,695,709,135,673,367,388,786,973,349,799,926,656,135,407,032,621,742,473,565,973,341,464,996,337,890,625
Chance of the maximum7.9866506 × 10^-153%≈1 in 12,520,893,300,916,973,570,028,372,988,279,248,121,147,870,002,858,362,036,338,685,923,137,397,999,448,695,709,135,673,367,388,786,973,349,799,926,656,135,407,032,621,742,473,565,973,341,464,996,337,890,625
Shape of the distribution
5,441 distinct totals, too many to list individually.
1st percentile2,403≈1.005% of rolls are this or lower
5th percentile2,520≈5.004% of rolls are this or lower
25th percentile2,688≈25.063% of rolls are this or lower
50th percentile2,805≈50.115% of rolls are this or lower
75th percentile2,922≈75.12% of rolls are this or lower
95th percentile3,090≈95.056% of rolls are this or lower
99th percentile3,207≈99.01% of rolls are this or lower
Chance of rolling at least
629100%≈
1,445100%≈
2,80550.1151%≈
4,1651.46323253 × 10^-14%≈
4,9815.65998949 × 10^-46%≈
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page