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Dice notation

30d20

  • 30d20
  • 30 to 600
  • mean 315
  • mode 315

Rolling 30d20 gives a total between 30 and 600, with a mean of 315 and a standard deviation of 31.5832. There are 1,073,741,824,000,000,000,000,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 315 at 1.257%.

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The roll

Notation30d20
Dice30
Faces per die20
Minimum total30all 30 dice showing 1
Maximum total600all 30 dice showing 20
Distinct totals571
Mean315n(f + 1)/2 + modifier, exact
Variance997.5n(f² − 1)/12, exact
Standard deviation31.58322339≈

Counting the outcomes

Ordered outcomes1,073,741,824,000,000,000,000,000,000,000,000,000,00020^30, every die distinguishable
Most likely total315
Chance of that total1.256783%≈
Ways to roll it13,494,607,548,603,708,306,326,247,564,011,055,344exact count
Chance of the minimum9.31322575 × 10^-38%≈1 in 1,073,741,824,000,000,000,000,000,000,000,000,000,000
Chance of the maximum9.31322575 × 10^-38%≈1 in 1,073,741,824,000,000,000,000,000,000,000,000,000,000

Shape of the distribution

571 distinct totals, too many to list individually.

1st percentile242≈1.059% of rolls are this or lower
5th percentile263≈5.158% of rolls are this or lower
25th percentile294≈25.905% of rolls are this or lower
50th percentile315≈50.628% of rolls are this or lower
75th percentile336≈75.107% of rolls are this or lower
95th percentile367≈95.171% of rolls are this or lower
99th percentile388≈99.028% of rolls are this or lower

Chance of rolling at least

87100%≈
17399.9998%≈
31550.6284%≈
4580.0002%≈
5431.82327742 × 10^-14%≈

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The same dice, different counts

The same count, different dice

Also reads as

#030D20 (colour)

  • #030D20
  • Blue
  • Dark
  • Nearest: Black

#030D20 is a blue with RGB values 3, 13, 32 and HSL 219°, 83%, 7%. It is a dark colour, so white text on it reaches 19.4:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#030D20#030D20
HEX#030D20
RGBrgb(3, 13, 32)
RGB (0–1)0.0118, 0.051, 0.1255
RGB percentages1.2%, 5.1%, 12.5%
HSLhsl(219.3, 82.9%, 6.9%)
HSV / HSBhsv(219.3, 90.6%, 12.5%)
CMYK90.6%, 59.4%, 0%, 87.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer199,968
CSS custom property--colour: #030D20;

Brightness & contrast

Relative luminance0.00411WCAG 2.x, 0 is black and 1 is white
Perceived brightness14.8 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.4:1
Contrast with white19.4:1WCAG normal text: AAA
Contrast with black1.08:1WCAG normal text: Fail
Greyscale equivalent#0C0C0C
Inverted#FCF2DF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#050F21no red cones; affects about 1% of men; ΔE 0.7 from the original
Deuteranopia#020C20no green cones; the most common form, about 1% of men; ΔE 0.6 from the original
Tritanopia#001114no blue cones; rare, and affects men and women equally; ΔE 11.5 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.4:1WCAG large text: AAA
Contrast with black, large text1.08:1WCAG large text: Fail

Named colours

Black · ΔE 13.8Dark slate grey · ΔE 32.2Dim grey · ΔE 42.8Dark slateblue · ΔE 46.4Midnight blue · ΔE 48.5Slate grey · ΔE 49.4
Nearest named CSS colourBlack (#000000)ΔE 13.78, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#201603
Analogous#031C20, #070320
Triadic#20030D, #0D2003
Split complementary#200703, #1C2003
Tetradic#20031C, #201603, #032007

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#1459DB
Lighter +30%#1046AC
Lighter +20%#0C337D
Lighter +10%#07204F
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#000C23
Less saturated −25%#070E1C

Channel breakdown

R3
G13
B32
Red3 (1.2%)
Green13 (5.1%)
Blue32 (12.5%)
Hue219.31°
Saturation (HSL)82.86%
Lightness6.86%
Dominant channelBlue
Hex per channelR 03 · G 0D · B 20

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Every value on this page was computed from “030d20” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.

This page is marked noindex: duplicate of /30d20.