Dice notation
62d20
- 62d20
- 62 to 1240
- mean 651
- mode 651
Rolling 62d20 gives a total between 62 and 1,240, with a mean of 651 and a standard deviation of 45.4037. There are 461,168,601,842,738,790,400,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 651 at 0.877%.
The roll
Notation62d20
Dice62
Faces per die20
Minimum total62all 62 dice showing 1
Maximum total1,240all 62 dice showing 20
Distinct totals1,179
Mean651n(f + 1)/2 + modifier, exact
Variance2,061.5n(f² − 1)/12, exact
Standard deviation45.40374434≈
Counting the outcomes
Ordered outcomes461,168,601,842,738,790,400,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,00020^62, every die distinguishable
Most likely total651
Chance of that total0.876516%≈
Ways to roll it4,042,216,693,319,102,406,223,717,473,999,275,910,623,122,345,525,077,336,900,437,943,860,792,901,320,800exact count
Chance of the minimum2.16840434 × 10^-79%≈1 in 461,168,601,842,738,790,400,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Chance of the maximum2.16840434 × 10^-79%≈1 in 461,168,601,842,738,790,400,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Shape of the distribution
1,179 distinct totals, too many to list individually.
1st percentile546≈1.056% of rolls are this or lower
5th percentile576≈5.046% of rolls are this or lower
25th percentile620≈25.131% of rolls are this or lower
50th percentile651≈50.438% of rolls are this or lower
75th percentile682≈75.565% of rolls are this or lower
95th percentile726≈95.18% of rolls are this or lower
99th percentile756≈99.005% of rolls are this or lower
Chance of rolling at least
180100%≈
357100%≈
65150.4383%≈
9468.8789276 × 10^-10%≈
1,1222.93359637 × 10^-30%≈
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