Dice notation
6d137
- 6d137
- 6 to 822
- mean 414
- mode 414
Rolling 6d137 gives a total between 6 and 822, with a mean of 414 and a standard deviation of 96.871. There are 6,611,856,250,609 equally likely ordered outcomes, and the most likely total is 414 at 0.401%.
The roll
Notation6d137
Dice6
Faces per die137
Minimum total6all 6 dice showing 1
Maximum total822all 6 dice showing 137
Distinct totals817
Mean414n(f + 1)/2 + modifier, exact
Variance9,384n(f² − 1)/12, exact
Standard deviation96.87104831≈
Counting the outcomes
Ordered outcomes6,611,856,250,609137^6, every die distinguishable
Most likely total414
Chance of that total0.40147%≈
Ways to roll it26,544,591,317exact count
Chance of the minimum1.51243458 × 10^-11%≈1 in 6,611,856,250,609
Chance of the maximum1.51243458 × 10^-11%≈1 in 6,611,856,250,609
Shape of the distribution
817 distinct totals, too many to list individually.
1st percentile193≈1.001% of rolls are this or lower
5th percentile254≈5.031% of rolls are this or lower
25th percentile347≈25.092% of rolls are this or lower
50th percentile414≈50.201% of rolls are this or lower
75th percentile481≈75.231% of rolls are this or lower
95th percentile574≈95.08% of rolls are this or lower
99th percentile635≈99.03% of rolls are this or lower
Chance of rolling at least
8899.9924%≈
21098.3857%≈
41450.2007%≈
6181.6609%≈
7400.0082%≈
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