Recognised as Dice notation
6d664
- 6d664
- 6 to 3984
- mean 1,995
- mode 1995
Rolling 6d664 gives a total between 6 and 3,984, with a mean of 1,995 and a standard deviation of 469.5184. There are 85,705,457,236,443,136 equally likely ordered outcomes, and the most likely total is 1,995 at 0.083%.
The roll
Notation6d664
Dice6
Faces per die664
Minimum total6all 6 dice showing 1
Maximum total3,984all 6 dice showing 664
Distinct totals3,979
Mean1,995n(f + 1)/2 + modifier, exact
Variance220,447.5n(f² − 1)/12, exact
Standard deviation469.51837025≈
Counting the outcomes
Ordered outcomes85,705,457,236,443,136664^6, every die distinguishable
Most likely total1,995
Chance of that total0.082831%≈
Ways to roll it70,991,039,273,272exact count
Chance of the minimum1.16678684 × 10^-15%≈1 in 85,705,457,236,443,136
Chance of the maximum1.16678684 × 10^-15%≈1 in 85,705,457,236,443,136
Shape of the distribution
3,979 distinct totals, too many to list individually.
1st percentile926≈1.002% of rolls are this or lower
5th percentile1,221≈5.021% of rolls are this or lower
25th percentile1,671≈25.013% of rolls are this or lower
50th percentile1,995≈50.041% of rolls are this or lower
75th percentile2,319≈75.054% of rolls are this or lower
95th percentile2,769≈95.002% of rolls are this or lower
99th percentile3,064≈99.004% of rolls are this or lower
Chance of rolling at least
40499.9933%≈
1,00198.417%≈
1,99550.0414%≈
2,9901.583%≈
3,5860.0068%≈
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