Dice notation
6d652
- 6d652
- 6 to 3912
- mean 1,959
- mode 1959
Rolling 6d652 gives a total between 6 and 3,912, with a mean of 1,959 and a standard deviation of 461.0331. There are 76,821,993,791,524,864 equally likely ordered outcomes, and the most likely total is 1,959 at 0.084%.
The roll
Notation6d652
Dice6
Faces per die652
Minimum total6all 6 dice showing 1
Maximum total3,912all 6 dice showing 652
Distinct totals3,907
Mean1,959n(f + 1)/2 + modifier, exact
Variance212,551.5n(f² − 1)/12, exact
Standard deviation461.03307907≈
Counting the outcomes
Ordered outcomes76,821,993,791,524,864652^6, every die distinguishable
Most likely total1,959
Chance of that total0.084356%≈
Ways to roll it64,803,898,410,700exact count
Chance of the minimum1.30171055 × 10^-15%≈1 in 76,821,993,791,524,864
Chance of the maximum1.30171055 × 10^-15%≈1 in 76,821,993,791,524,864
Shape of the distribution
3,907 distinct totals, too many to list individually.
1st percentile909≈1% of rolls are this or lower
5th percentile1,199≈5.022% of rolls are this or lower
25th percentile1,641≈25.023% of rolls are this or lower
50th percentile1,959≈50.042% of rolls are this or lower
75th percentile2,277≈75.045% of rolls are this or lower
95th percentile2,719≈95.001% of rolls are this or lower
99th percentile3,009≈99.006% of rolls are this or lower
Chance of rolling at least
39799.9933%≈
98398.4168%≈
1,95950.0422%≈
2,9361.5832%≈
3,5210.0068%≈
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