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Recognised as Dice notation

3d20

  • 3d20
  • 3 to 60
  • mean 31.5

Rolling 3d20 gives a total between 3 and 60, with a mean of 31.5 and a standard deviation of 9.9875. There are 8,000 equally likely ordered outcomes, and the most likely total is 31 or 32 at 3.75%.

The canonical address for this page is /3d20.

The roll

Notation3d20
Dice3
Faces per die20
Minimum total3all 3 dice showing 1
Maximum total60all 3 dice showing 20
Distinct totals58
Mean31.5n(f + 1)/2 + modifier, exact
Variance99.75n(f² − 1)/12, exact
Standard deviation9.98749218≈

Counting the outcomes

Ordered outcomes8,00020^3, every die distinguishable
Most likely total31 and 32two totals share the peak
Chance of that total3.75%≈
Ways to roll it300exact count
Chance of the minimum0.0125%≈1 in 8,000
Chance of the maximum0.0125%≈1 in 8,000

Shape of the distribution

58 distinct totals, too many to list individually.

1st percentile9≈1.05% of rolls are this or lower
5th percentile15≈5.687% of rolls are this or lower
25th percentile24≈25.15% of rolls are this or lower
50th percentile32≈53.75% of rolls are this or lower
75th percentile39≈77.9% of rolls are this or lower
95th percentile48≈95.45% of rolls are this or lower
99th percentile54≈99.3% of rolls are this or lower

Chance of rolling at least

999.3%≈
1793%≈
3250%≈
468.5%≈
541.05%≈

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The same dice, different counts

The same count, different dice

Also reads as

#3D0020 (colour)

  • #3D0020
  • Magenta
  • Dark
  • Nearest: Black

#3D0020 is a magenta with RGB values 61, 0, 32 and HSL 329°, 100%, 12%. It is a dark colour, so white text on it reaches 17.2:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#3D0020#3D0020
HEX#3D0020
RGBrgb(61, 0, 32)
RGB (0–1)0.2392, 0, 0.1255
RGB percentages23.9%, 0%, 12.5%
HSLhsl(328.5, 100%, 12%)
HSV / HSBhsv(328.5, 100%, 23.9%)
CMYK0%, 100%, 47.5%, 76.1%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,997,728
CSS custom property--colour: #3D0020;

Brightness & contrast

Relative luminance0.01096WCAG 2.x, 0 is black and 1 is white
Perceived brightness35.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 17.22:1
Contrast with white17.22:1WCAG normal text: AAA
Contrast with black1.22:1WCAG normal text: Fail
Greyscale equivalent#0F0F0F
Inverted#C2FFDF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#0D1421no red cones; affects about 1% of men; ΔE 30.8 from the original
Deuteranopia#1F1F1Fno green cones; the most common form, about 1% of men; ΔE 31.3 from the original
Tritanopia#43000Fno blue cones; rare, and affects men and women equally; ΔE 13.7 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text17.22:1WCAG large text: AAA
Contrast with black, large text1.22:1WCAG large text: Fail

Named colours

Black · ΔE 32.7Dark slateblue · ΔE 44.6Dim grey · ΔE 46.7Midnight blue · ΔE 46.9Maroon · ΔE 47.2Brown · ΔE 47.4
Nearest named CSS colourBlack (#000000)ΔE 32.74, a distinctly different colour
Hue familymagenta
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#003D1D
Analogous#3B003D, #3D0002
Triadic#203D00, #00203D
Split complementary#023D00, #003D3B
Tetradic#3D3B00, #003D1D, #00023D

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#FF0A8B
Lighter +30%#D60070
Lighter +20%#A30056
Lighter +10%#70003B
Darker −10%#0A0005
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#3D0020
Less saturated −25%#350820

Channel breakdown

R61
G0
B32
Red61 (23.9%)
Green0 (0%)
Blue32 (12.5%)
Hue328.52°
Saturation (HSL)100%
Lightness11.96%
Dominant channelRed
Hex per channelR 3D · G 00 · B 20

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Every value on this page was computed from “3d0020” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.