Dice notation

14d10

14d10
14 to 140
mean 77
mode 77

Rolling 14d10 gives a total between 14 and 140, with a mean of 77 and a standard deviation of 10.7471. There are 100,000,000,000,000 equally likely ordered outcomes, and the most likely total is 77 at 3.671%.

The roll

Notation14d10

Dice14

Faces per die10

Minimum total14all 14 dice showing 1

Maximum total140all 14 dice showing 10

Distinct totals127

Mean77n(f + 1)/2 + modifier, exact

Variance115.5n(f² − 1)/12, exact

Standard deviation10.74709263≈

Counting the outcomes

Ordered outcomes100,000,000,000,00010^14, every die distinguishable

Most likely total77

Chance of that total3.671331%≈

Ways to roll it3,671,331,273,480exact count

Chance of the minimum1 × 10^-12%≈1 in 100,000,000,000,000

Chance of the maximum1 × 10^-12%≈1 in 100,000,000,000,000

Shape of the distribution

127 distinct totals, too many to list individually.

1st percentile52≈1.072% of rolls are this or lower

5th percentile59≈5.19% of rolls are this or lower

25th percentile70≈27.453% of rolls are this or lower

50th percentile77≈51.836% of rolls are this or lower

75th percentile84≈75.542% of rolls are this or lower

95th percentile95≈95.744% of rolls are this or lower

99th percentile102≈99.177% of rolls are this or lower

Chance of rolling at least

27100%≈

4699.8652%≈

7751.8357%≈

1090.1348%≈

1270%≈

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