Nerdulator> put something in

Recognised as Dice notation

6d160

  • 6d160
  • 6 to 960
  • mean 483
  • mode 483

Rolling 6d160 gives a total between 6 and 960, with a mean of 483 and a standard deviation of 113.1349. There are 16,777,216,000,000 equally likely ordered outcomes, and the most likely total is 483 at 0.344%.

The roll

Notation6d160
Dice6
Faces per die160
Minimum total6all 6 dice showing 1
Maximum total960all 6 dice showing 160
Distinct totals955
Mean483n(f + 1)/2 + modifier, exact
Variance12,799.5n(f² − 1)/12, exact
Standard deviation113.13487526≈

Counting the outcomes

Ordered outcomes16,777,216,000,000160^6, every die distinguishable
Most likely total483
Chance of that total0.343756%≈
Ways to roll it57,672,704,032exact count
Chance of the minimum5.96046448 × 10^-12%≈1 in 16,777,216,000,000
Chance of the maximum5.96046448 × 10^-12%≈1 in 16,777,216,000,000

Shape of the distribution

955 distinct totals, too many to list individually.

1st percentile225≈1.001% of rolls are this or lower
5th percentile296≈5.01% of rolls are this or lower
25th percentile405≈25.138% of rolls are this or lower
50th percentile483≈50.172% of rolls are this or lower
75th percentile561≈75.139% of rolls are this or lower
95th percentile670≈95.085% of rolls are this or lower
99th percentile741≈99.025% of rolls are this or lower

Chance of rolling at least

10199.9929%≈
24598.3725%≈
48350.1719%≈
7221.6275%≈
8650.0076%≈

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

The same dice, different counts

The same count, different dice

Nerdulate something else

Nothing in mind? Surprise me · today’s page

Every value on this page was computed from “6d160” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.