Dice notation
7d173
- 7d173
- 7 to 1211
- mean 609
- mode 609
Rolling 7d173 gives a total between 7 and 1,211, with a mean of 609 and a standard deviation of 132.1287. There are 4,637,914,326,451,397 equally likely ordered outcomes, and the most likely total is 609 at 0.295%.
The roll
Notation7d173
Dice7
Faces per die173
Minimum total7all 7 dice showing 1
Maximum total1,211all 7 dice showing 173
Distinct totals1,205
Mean609n(f + 1)/2 + modifier, exact
Variance17,458n(f² − 1)/12, exact
Standard deviation132.12872511≈
Counting the outcomes
Ordered outcomes4,637,914,326,451,397173^7, every die distinguishable
Most likely total609
Chance of that total0.295394%≈
Ways to roll it13,700,134,110,517exact count
Chance of the minimum2.1561416 × 10^-14%≈1 in 4,637,914,326,451,397
Chance of the maximum2.1561416 × 10^-14%≈1 in 4,637,914,326,451,397
Shape of the distribution
1,205 distinct totals, too many to list individually.
1st percentile307≈1.007% of rolls are this or lower
5th percentile391≈5.027% of rolls are this or lower
25th percentile518≈25.071% of rolls are this or lower
50th percentile609≈50.148% of rolls are this or lower
75th percentile700≈75.167% of rolls are this or lower
95th percentile827≈95.054% of rolls are this or lower
99th percentile911≈99.016% of rolls are this or lower
Chance of rolling at least
12799.9982%≈
30898.9935%≈
60950.1477%≈
9101.0293%≈
1,0910.0019%≈
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