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Dice notation

20d4

  • 20d4
  • 20 to 80
  • mean 50
  • mode 50

Rolling 20d4 gives a total between 20 and 80, with a mean of 50 and a standard deviation of 5. There are 1,099,511,627,776 equally likely ordered outcomes, and the most likely total is 50 at 7.911%.

The roll

Notation20d4
Dice20
Faces per die4
Minimum total20all 20 dice showing 1
Maximum total80all 20 dice showing 4
Distinct totals61
Mean50n(f + 1)/2 + modifier, exact
Variance25n(f² − 1)/12, exact
Standard deviation5

Counting the outcomes

Ordered outcomes1,099,511,627,7764^20, every die distinguishable
Most likely total50
Chance of that total7.910944%
Ways to roll it86,981,744,944exact count
Chance of the minimum9.09494702 × 10^-11%1 in 1,099,511,627,776
Chance of the maximum9.09494702 × 10^-11%1 in 1,099,511,627,776

Shape of the distribution

61 distinct totals, too many to list individually.

1st percentile381.017% of rolls are this or lower
5th percentile426.691% of rolls are this or lower
25th percentile4730.963% of rolls are this or lower
50th percentile5053.955% of rolls are this or lower
75th percentile5375.682% of rolls are this or lower
95th percentile5895.565% of rolls are this or lower
99th percentile6299.428% of rolls are this or lower

Chance of rolling at least

26100%
3599.9241%
5053.9555%
650.1565%
740%

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The same dice, different counts

The same count, different dice

Also reads as

#2200DD (colour)

  • #2200DD
  • Blue
  • Dark
  • Nearest: Medium blue

#2200DD is a blue with RGB values 34, 0, 221 and HSL 249°, 100%, 43%. It is a dark colour, so white text on it reaches 9.9:1 contrast (AAA for normal text). The nearest named colour is Medium blue.

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Colour values

#2200DD#2200DD
HEX#2200DD
HEX (short)#20D
RGBrgb(34, 0, 221)
RGB (0–1)0.1333, 0, 0.8667
RGB percentages13.3%, 0%, 86.7%
HSLhsl(249.2, 100%, 43.3%)
HSV / HSBhsv(249.2, 100%, 86.7%)
CMYK84.6%, 100%, 0%, 13.3%naive device-independent conversion; real print needs an ICC profile
24-bit integer2,228,445
CSS custom property--colour: #2200DD;

Brightness & contrast

Relative luminance0.05561WCAG 2.x, 0 is black and 1 is white
Perceived brightness76.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.94:1
Contrast with white9.94:1WCAG normal text: AAA
Contrast with black2.11:1WCAG normal text: Fail
Greyscale equivalent#171717
Inverted#DDFF22

Colour vision & accessibility

Protanopia#004DE2no red cones; affects about 1% of men; ΔE 36.5 from the original
Deuteranopia#0037DAno green cones; the most common form, about 1% of men; ΔE 23.9 from the original
Tritanopia#005B81no blue cones; rare, and affects men and women equally; ΔE 104.7 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.94:1WCAG large text: AAA
Contrast with black, large text2.11:1WCAG large text: Fail

Named colours

Nearest named CSS colourMedium blue (#0000CD)ΔE 6.52, clearly different but related
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#BBDD00
Analogous#004CDD, #9100DD
Triadic#DD2200, #00DD22
Split complementary#DD9100, #4CDD00
Tetradic#DD004C, #BBDD00, #00DD91

Tints, shades & saturation

Lighter +40%#B7AAFF
Lighter +30%#8C77FF
Lighter +20%#6144FF
Lighter +10%#3611FF
Darker −10%#1A00AA
Darker −20%#120077
Darker −30%#0A0044
Darker −40%#030011
More saturated +25%#2200DD
Less saturated −25%#351CC1

Channel breakdown

R34
G0
B221
Red34 (13.3%)
Green0 (0%)
Blue221 (86.7%)
Hue249.23°
Saturation (HSL)100%
Lightness43.33%
Dominant channelBlue
Hex per channelR 22 · G 00 · B DD

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Every value on this page was computed from “20d4” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.