Recognised as Dice notation
3d176
- 3d176
- 3 to 528
- mean 265.5
Rolling 3d176 gives a total between 3 and 528, with a mean of 265.5 and a standard deviation of 87.9986. There are 5,451,776 equally likely ordered outcomes, and the most likely total is 265 or 266 at 0.426%.
The roll
Notation3d176
Dice3
Faces per die176
Minimum total3all 3 dice showing 1
Maximum total528all 3 dice showing 176
Distinct totals526
Mean265.5n(f + 1)/2 + modifier, exact
Variance7,743.75n(f² − 1)/12, exact
Standard deviation87.99857953≈
Counting the outcomes
Ordered outcomes5,451,776176^3, every die distinguishable
Most likely total265 and 266two totals share the peak
Chance of that total0.426136%≈
Ways to roll it23,232exact count
Chance of the minimum0.00001834%≈1 in 5,451,776
Chance of the maximum0.00001834%≈1 in 5,451,776
Shape of the distribution
526 distinct totals, too many to list individually.
1st percentile70≈1.004% of rolls are this or lower
5th percentile119≈5.023% of rolls are this or lower
25th percentile203≈25.036% of rolls are this or lower
50th percentile266≈50.426% of rolls are this or lower
75th percentile328≈75.318% of rolls are this or lower
95th percentile412≈95.104% of rolls are this or lower
99th percentile461≈99.039% of rolls are this or lower
Chance of rolling at least
5699.5188%≈
13492.9692%≈
26650%≈
3977.1919%≈
4760.4812%≈
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