Dice notation
3d173
- 3d173
- 3 to 519
- mean 261
- mode 261
Rolling 3d173 gives a total between 3 and 519, with a mean of 261 and a standard deviation of 86.4986. There are 5,177,717 equally likely ordered outcomes, and the most likely total is 261 at 0.434%.
The roll
Notation3d173
Dice3
Faces per die173
Minimum total3all 3 dice showing 1
Maximum total519all 3 dice showing 173
Distinct totals517
Mean261n(f + 1)/2 + modifier, exact
Variance7,482n(f² − 1)/12, exact
Standard deviation86.4985549≈
Counting the outcomes
Ordered outcomes5,177,717173^3, every die distinguishable
Most likely total261
Chance of that total0.433531%≈
Ways to roll it22,447exact count
Chance of the minimum0.00001931%≈1 in 5,177,717
Chance of the maximum0.00001931%≈1 in 5,177,717
Shape of the distribution
517 distinct totals, too many to list individually.
1st percentile69≈1.012% of rolls are this or lower
5th percentile117≈5.024% of rolls are this or lower
25th percentile200≈25.197% of rolls are this or lower
50th percentile261≈50.217% of rolls are this or lower
75th percentile322≈75.165% of rolls are this or lower
95th percentile405≈95.105% of rolls are this or lower
99th percentile453≈99.032% of rolls are this or lower
Chance of rolling at least
5599.5209%≈
13292.9284%≈
26150.2168%≈
3907.236%≈
4670.5067%≈
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