Recognised as Dice notation
3d486
- 3d486
- 3 to 1458
- mean 730.5
Rolling 3d486 gives a total between 3 and 1,458, with a mean of 730.5 and a standard deviation of 242.9995. There are 114,791,256 equally likely ordered outcomes, and the most likely total is 730 or 731 at 0.154%.
The roll
Notation3d486
Dice3
Faces per die486
Minimum total3all 3 dice showing 1
Maximum total1,458all 3 dice showing 486
Distinct totals1,456
Mean730.5n(f + 1)/2 + modifier, exact
Variance59,048.75n(f² − 1)/12, exact
Standard deviation242.9994856≈
Counting the outcomes
Ordered outcomes114,791,256486^3, every die distinguishable
Most likely total730 and 731two totals share the peak
Chance of that total0.154321%≈
Ways to roll it177,147exact count
Chance of the minimum8.71146492 × 10^-7%≈1 in 114,791,256
Chance of the maximum8.71146492 × 10^-7%≈1 in 114,791,256
Shape of the distribution
1,456 distinct totals, too many to list individually.
1st percentile192≈1.012% of rolls are this or lower
5th percentile327≈5.03% of rolls are this or lower
25th percentile559≈25.063% of rolls are this or lower
50th percentile730≈50% of rolls are this or lower
75th percentile902≈75.066% of rolls are this or lower
95th percentile1,134≈95.016% of rolls are this or lower
99th percentile1,269≈99.004% of rolls are this or lower
Chance of rolling at least
14999.5388%≈
36792.9398%≈
73150%≈
1,0947.1184%≈
1,3130.4612%≈
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