Recognised as Dice notation
3d487
- 3d487
- 3 to 1461
- mean 732
- mode 732
Rolling 3d487 gives a total between 3 and 1,461, with a mean of 732 and a standard deviation of 243.4995. There are 115,501,303 equally likely ordered outcomes, and the most likely total is 732 at 0.154%.
The roll
Notation3d487
Dice3
Faces per die487
Minimum total3all 3 dice showing 1
Maximum total1,461all 3 dice showing 487
Distinct totals1,459
Mean732n(f + 1)/2 + modifier, exact
Variance59,292n(f² − 1)/12, exact
Standard deviation243.49948665≈
Counting the outcomes
Ordered outcomes115,501,303487^3, every die distinguishable
Most likely total732
Chance of that total0.154004%≈
Ways to roll it177,877exact count
Chance of the minimum8.65791098 × 10^-7%≈1 in 115,501,303
Chance of the maximum8.65791098 × 10^-7%≈1 in 115,501,303
Shape of the distribution
1,459 distinct totals, too many to list individually.
1st percentile192≈1.005% of rolls are this or lower
5th percentile328≈5.045% of rolls are this or lower
25th percentile560≈25.044% of rolls are this or lower
50th percentile732≈50.077% of rolls are this or lower
75th percentile904≈75.084% of rolls are this or lower
95th percentile1,136≈95.001% of rolls are this or lower
99th percentile1,272≈99.01% of rolls are this or lower
Chance of rolling at least
14999.5417%≈
36892.9254%≈
73250.077%≈
1,0977.0746%≈
1,3150.4678%≈
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