Recognised as Dice notation
6d670
- 6d670
- 6 to 4020
- mean 2,013
- mode 2013
Rolling 6d670 gives a total between 6 and 4,020, with a mean of 2,013 and a standard deviation of 473.761. There are 90,458,382,169,000,000 equally likely ordered outcomes, and the most likely total is 2,013 at 0.082%.
The roll
Notation6d670
Dice6
Faces per die670
Minimum total6all 6 dice showing 1
Maximum total4,020all 6 dice showing 670
Distinct totals4,015
Mean2,013n(f + 1)/2 + modifier, exact
Variance224,449.5n(f² − 1)/12, exact
Standard deviation473.7610157≈
Counting the outcomes
Ordered outcomes90,458,382,169,000,000670^6, every die distinguishable
Most likely total2,013
Chance of that total0.08209%≈
Ways to roll it74,256,956,075,884exact count
Chance of the minimum1.10548075 × 10^-15%≈1 in 90,458,382,169,000,000
Chance of the maximum1.10548075 × 10^-15%≈1 in 90,458,382,169,000,000
Shape of the distribution
4,015 distinct totals, too many to list individually.
1st percentile934≈1% of rolls are this or lower
5th percentile1,232≈5.021% of rolls are this or lower
25th percentile1,686≈25.008% of rolls are this or lower
50th percentile2,013≈50.041% of rolls are this or lower
75th percentile2,340≈75.058% of rolls are this or lower
95th percentile2,794≈95.002% of rolls are this or lower
99th percentile3,092≈99.006% of rolls are this or lower
Chance of rolling at least
40799.9934%≈
1,01098.4171%≈
2,01350.041%≈
3,0171.5829%≈
3,6190.0067%≈
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