Recognised as Dice notation
6d159
- 6d159
- 6 to 954
- mean 480
- mode 480
Rolling 6d159 gives a total between 6 and 954, with a mean of 480 and a standard deviation of 112.4278. There are 16,157,819,263,041 equally likely ordered outcomes, and the most likely total is 480 at 0.346%.
The roll
Notation6d159
Dice6
Faces per die159
Minimum total6all 6 dice showing 1
Maximum total954all 6 dice showing 159
Distinct totals949
Mean480n(f + 1)/2 + modifier, exact
Variance12,640n(f² − 1)/12, exact
Standard deviation112.42775458≈
Counting the outcomes
Ordered outcomes16,157,819,263,041159^6, every die distinguishable
Most likely total480
Chance of that total0.345918%≈
Ways to roll it55,892,832,591exact count
Chance of the minimum6.18895399 × 10^-12%≈1 in 16,157,819,263,041
Chance of the maximum6.18895399 × 10^-12%≈1 in 16,157,819,263,041
Shape of the distribution
949 distinct totals, too many to list individually.
1st percentile224≈1.012% of rolls are this or lower
5th percentile295≈5.091% of rolls are this or lower
25th percentile402≈25.002% of rolls are this or lower
50th percentile480≈50.173% of rolls are this or lower
75th percentile558≈75.275% of rolls are this or lower
95th percentile665≈95.006% of rolls are this or lower
99th percentile736≈99.015% of rolls are this or lower
Chance of rolling at least
10199.9926%≈
24398.392%≈
48050.173%≈
7171.648%≈
8590.0078%≈
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