Dice notation
2d173
- 2d173
- 2 to 346
- mean 174
- mode 174
Rolling 2d173 gives a total between 2 and 346, with a mean of 174 and a standard deviation of 70.6258. There are 29,929 equally likely ordered outcomes, and the most likely total is 174 at 0.578%.
The roll
Notation2d173
Dice2
Faces per die173
Minimum total2all 2 dice showing 1
Maximum total346all 2 dice showing 173
Distinct totals345
Mean174n(f + 1)/2 + modifier, exact
Variance4,988n(f² − 1)/12, exact
Standard deviation70.62577433≈
Counting the outcomes
Ordered outcomes29,929173^2, every die distinguishable
Most likely total174
Chance of that total0.578035%≈
Ways to roll it173exact count
Chance of the minimum0.00334124%≈1 in 29,929
Chance of the maximum0.00334124%≈1 in 29,929
Shape of the distribution
345 distinct totals, too many to list individually.
1st percentile25≈1.002% of rolls are this or lower
5th percentile56≈5.146% of rolls are this or lower
25th percentile123≈25.069% of rolls are this or lower
50th percentile174≈50.289% of rolls are this or lower
75th percentile225≈75.338% of rolls are this or lower
95th percentile292≈95.038% of rolls are this or lower
99th percentile323≈99.078% of rolls are this or lower
Chance of rolling at least
3698.012%≈
8887.5004%≈
17450.289%≈
26012.7903%≈
3122.105%≈
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