Recognised as Dice notation
3d727
- 3d727
- 3 to 2181
- mean 1,092
- mode 1092
Rolling 3d727 gives a total between 3 and 2,181, with a mean of 1,092 and a standard deviation of 363.4997. There are 384,240,583 equally likely ordered outcomes, and the most likely total is 1,092 at 0.103%.
The roll
Notation3d727
Dice3
Faces per die727
Minimum total3all 3 dice showing 1
Maximum total2,181all 3 dice showing 727
Distinct totals2,179
Mean1,092n(f + 1)/2 + modifier, exact
Variance132,132n(f² − 1)/12, exact
Standard deviation363.49965612≈
Counting the outcomes
Ordered outcomes384,240,583727^3, every die distinguishable
Most likely total1,092
Chance of that total0.103164%≈
Ways to roll it396,397exact count
Chance of the minimum2.60253613 × 10^-7%≈1 in 384,240,583
Chance of the maximum2.60253613 × 10^-7%≈1 in 384,240,583
Shape of the distribution
2,179 distinct totals, too many to list individually.
1st percentile286≈1.004% of rolls are this or lower
5th percentile488≈5.01% of rolls are this or lower
25th percentile835≈25.002% of rolls are this or lower
50th percentile1,092≈50.052% of rolls are this or lower
75th percentile1,349≈75.083% of rolls are this or lower
95th percentile1,696≈95.021% of rolls are this or lower
99th percentile1,898≈99.006% of rolls are this or lower
Chance of rolling at least
22199.5444%≈
54892.9397%≈
1,09250.0516%≈
1,6377.0603%≈
1,9630.4619%≈
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