Dice notation
6d173
- 6d173
- 6 to 1038
- mean 522
- mode 522
Rolling 6d173 gives a total between 6 and 1,038, with a mean of 522 and a standard deviation of 122.3274. There are 26,808,753,332,089 equally likely ordered outcomes, and the most likely total is 522 at 0.318%.
The roll
Notation6d173
Dice6
Faces per die173
Minimum total6all 6 dice showing 1
Maximum total1,038all 6 dice showing 173
Distinct totals1,033
Mean522n(f + 1)/2 + modifier, exact
Variance14,964n(f² − 1)/12, exact
Standard deviation122.32742947≈
Counting the outcomes
Ordered outcomes26,808,753,332,089173^6, every die distinguishable
Most likely total522
Chance of that total0.317924%≈
Ways to roll it85,231,435,115exact count
Chance of the minimum3.73012496 × 10^-12%≈1 in 26,808,753,332,089
Chance of the maximum3.73012496 × 10^-12%≈1 in 26,808,753,332,089
Shape of the distribution
1,033 distinct totals, too many to list individually.
1st percentile244≈1.024% of rolls are this or lower
5th percentile320≈5.024% of rolls are this or lower
25th percentile438≈25.214% of rolls are this or lower
50th percentile522≈50.159% of rolls are this or lower
75th percentile606≈75.043% of rolls are this or lower
95th percentile724≈95.064% of rolls are this or lower
99th percentile800≈99.001% of rolls are this or lower
Chance of rolling at least
10999.9929%≈
26498.3952%≈
52250.159%≈
7801.6415%≈
9350.0076%≈
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