Recognised as Dice notation
6d264
- 6d264
- 6 to 1584
- mean 795
- mode 795
Rolling 6d264 gives a total between 6 and 1,584, with a mean of 795 and a standard deviation of 186.6749. There are 338,550,579,265,536 equally likely ordered outcomes, and the most likely total is 795 at 0.208%.
The roll
Notation6d264
Dice6
Faces per die264
Minimum total6all 6 dice showing 1
Maximum total1,584all 6 dice showing 264
Distinct totals1,579
Mean795n(f + 1)/2 + modifier, exact
Variance34,847.5n(f² − 1)/12, exact
Standard deviation186.67485101≈
Counting the outcomes
Ordered outcomes338,550,579,265,536264^6, every die distinguishable
Most likely total795
Chance of that total0.208335%≈
Ways to roll it705,318,306,792exact count
Chance of the minimum2.95376839 × 10^-13%≈1 in 338,550,579,265,536
Chance of the maximum2.95376839 × 10^-13%≈1 in 338,550,579,265,536
Shape of the distribution
1,579 distinct totals, too many to list individually.
1st percentile370≈1.008% of rolls are this or lower
5th percentile487≈5.023% of rolls are this or lower
25th percentile666≈25.033% of rolls are this or lower
50th percentile795≈50.104% of rolls are this or lower
75th percentile924≈75.135% of rolls are this or lower
95th percentile1,103≈95.034% of rolls are this or lower
99th percentile1,220≈99.009% of rolls are this or lower
Chance of rolling at least
16499.993%≈
40198.3957%≈
79550.1042%≈
1,1901.6043%≈
1,4260.0073%≈
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