Recognised as Dice notation
3d340
- 3d340
- 3 to 1020
- mean 511.5
Rolling 3d340 gives a total between 3 and 1,020, with a mean of 511.5 and a standard deviation of 169.9993. There are 39,304,000 equally likely ordered outcomes, and the most likely total is 511 or 512 at 0.221%.
The roll
Notation3d340
Dice3
Faces per die340
Minimum total3all 3 dice showing 1
Maximum total1,020all 3 dice showing 340
Distinct totals1,018
Mean511.5n(f + 1)/2 + modifier, exact
Variance28,899.75n(f² − 1)/12, exact
Standard deviation169.9992647≈
Counting the outcomes
Ordered outcomes39,304,000340^3, every die distinguishable
Most likely total511 and 512two totals share the peak
Chance of that total0.220588%≈
Ways to roll it86,700exact count
Chance of the minimum0.00000254%≈1 in 39,304,000
Chance of the maximum0.00000254%≈1 in 39,304,000
Shape of the distribution
1,018 distinct totals, too many to list individually.
1st percentile135≈1.02% of rolls are this or lower
5th percentile229≈5.026% of rolls are this or lower
25th percentile392≈25.179% of rolls are this or lower
50th percentile511≈50% of rolls are this or lower
75th percentile631≈75.005% of rolls are this or lower
95th percentile794≈95.04% of rolls are this or lower
99th percentile888≈99.002% of rolls are this or lower
Chance of rolling at least
10599.5367%≈
25792.9689%≈
51250%≈
7667.1142%≈
9180.4769%≈
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page