Recognised as Dice notation
6d770
- 6d770
- 6 to 4620
- mean 2,313
- mode 2313
Rolling 6d770 gives a total between 6 and 4,620, with a mean of 2,313 and a standard deviation of 544.4718. There are 208,422,380,089,000,000 equally likely ordered outcomes, and the most likely total is 2,313 at 0.071%.
The roll
Notation6d770
Dice6
Faces per die770
Minimum total6all 6 dice showing 1
Maximum total4,620all 6 dice showing 770
Distinct totals4,615
Mean2,313n(f + 1)/2 + modifier, exact
Variance296,449.5n(f² − 1)/12, exact
Standard deviation544.47176235≈
Counting the outcomes
Ordered outcomes208,422,380,089,000,000770^6, every die distinguishable
Most likely total2,313
Chance of that total0.071429%≈
Ways to roll it148,873,242,768,404exact count
Chance of the minimum4.79794924 × 10^-16%≈1 in 208,422,380,089,000,000
Chance of the maximum4.79794924 × 10^-16%≈1 in 208,422,380,089,000,000
Shape of the distribution
4,615 distinct totals, too many to list individually.
1st percentile1,074≈1.005% of rolls are this or lower
5th percentile1,415≈5.011% of rolls are this or lower
25th percentile1,938≈25.05% of rolls are this or lower
50th percentile2,313≈50.036% of rolls are this or lower
75th percentile2,688≈75.008% of rolls are this or lower
95th percentile3,211≈95.009% of rolls are this or lower
99th percentile3,552≈99% of rolls are this or lower
Chance of rolling at least
46799.9934%≈
1,16098.4189%≈
2,31350.0357%≈
3,4671.5811%≈
4,1590.0067%≈
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