Recognised as Dice notation
6d136
- 6d136
- 6 to 816
- mean 411
- mode 411
Rolling 6d136 gives a total between 6 and 816, with a mean of 411 and a standard deviation of 96.1639. There are 6,327,518,887,936 equally likely ordered outcomes, and the most likely total is 411 at 0.404%.
The roll
Notation6d136
Dice6
Faces per die136
Minimum total6all 6 dice showing 1
Maximum total816all 6 dice showing 136
Distinct totals811
Mean411n(f + 1)/2 + modifier, exact
Variance9,247.5n(f² − 1)/12, exact
Standard deviation96.16392255≈
Counting the outcomes
Ordered outcomes6,327,518,887,936136^6, every die distinguishable
Most likely total411
Chance of that total0.404422%≈
Ways to roll it25,589,859,688exact count
Chance of the minimum1.58039829 × 10^-11%≈1 in 6,327,518,887,936
Chance of the maximum1.58039829 × 10^-11%≈1 in 6,327,518,887,936
Shape of the distribution
811 distinct totals, too many to list individually.
1st percentile192≈1.013% of rolls are this or lower
5th percentile252≈5.013% of rolls are this or lower
25th percentile345≈25.26% of rolls are this or lower
50th percentile411≈50.202% of rolls are this or lower
75th percentile477≈75.066% of rolls are this or lower
95th percentile570≈95.099% of rolls are this or lower
99th percentile630≈99.018% of rolls are this or lower
Chance of rolling at least
8799.9926%≈
20998.362%≈
41150.2022%≈
6141.638%≈
7350.008%≈
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