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Dice notation

23d20

  • 23d20
  • 23 to 460
  • mean 241.5

Rolling 23d20 gives a total between 23 and 460, with a mean of 241.5 and a standard deviation of 27.6541. There are 838,860,800,000,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 241 or 242 at 1.433%.

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The roll

Notation23d20
Dice23
Faces per die20
Minimum total23all 23 dice showing 1
Maximum total460all 23 dice showing 20
Distinct totals438
Mean241.5n(f + 1)/2 + modifier, exact
Variance764.75n(f² − 1)/12, exact
Standard deviation27.65411362≈

Counting the outcomes

Ordered outcomes838,860,800,000,000,000,000,000,000,00020^23, every die distinguishable
Most likely total241 and 242two totals share the peak
Chance of that total1.432901%≈
Ways to roll it12,020,045,122,923,513,670,376,626,000exact count
Chance of the minimum1.1920929 × 10^-28%≈1 in 838,860,800,000,000,000,000,000,000,000
Chance of the maximum1.1920929 × 10^-28%≈1 in 838,860,800,000,000,000,000,000,000,000

Shape of the distribution

438 distinct totals, too many to list individually.

1st percentile178≈1.102% of rolls are this or lower
5th percentile196≈5.197% of rolls are this or lower
25th percentile223≈25.874% of rolls are this or lower
50th percentile241≈50% of rolls are this or lower
75th percentile260≈75.278% of rolls are this or lower
95th percentile287≈95.181% of rolls are this or lower
99th percentile305≈99.001% of rolls are this or lower

Chance of rolling at least

67100%≈
13299.998%≈
24250%≈
3510.0024%≈
4166.32210543 × 10^-11%≈

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The same dice, different counts

The same count, different dice

Also reads as

#023D20 (colour)

  • #023D20
  • Cyan
  • Dark
  • Nearest: Dark slate grey

#023D20 is a cyan with RGB values 2, 61, 32 and HSL 151°, 94%, 12%. It is a dark colour, so white text on it reaches 12.4:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.

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Colour values

#023D20#023D20
HEX#023D20
RGBrgb(2, 61, 32)
RGB (0–1)0.0078, 0.2392, 0.1255
RGB percentages0.8%, 23.9%, 12.5%
HSLhsl(150.5, 93.7%, 12.4%)
HSV / HSBhsv(150.5, 96.7%, 23.9%)
CMYK96.7%, 0%, 47.5%, 76.1%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer146,720
CSS custom property--colour: #023D20;

Brightness & contrast

Relative luminance0.03455WCAG 2.x, 0 is black and 1 is white
Perceived brightness48 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.42:1
Contrast with white12.42:1WCAG normal text: AAA
Contrast with black1.69:1WCAG normal text: Fail
Greyscale equivalent#2E2E2E
Inverted#FDC2DF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#3D371Eno red cones; affects about 1% of men; ΔE 24.5 from the original
Deuteranopia#363222no green cones; the most common form, about 1% of men; ΔE 24.7 from the original
Tritanopia#003C36no blue cones; rare, and affects men and women equally; ΔE 15.8 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text12.42:1WCAG large text: AAA
Contrast with black, large text1.69:1WCAG large text: Fail

Named colours

Dark slate grey · ΔE 23.9Dark olivegreen · ΔE 27.9Sea green · ΔE 33.6Teal · ΔE 34.2Black · ΔE 36.2Dark green · ΔE 36.7
Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 23.86, a distinctly different colour
Hue familycyan
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#3D021F
Analogous#023D02, #023D3D
Triadic#20023D, #3D2002
Split complementary#3D023D, #3D0202
Tetradic#02023D, #3D021F, #3D3D02

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#14F787
Lighter +30%#07D16E
Lighter +20%#05A054
Lighter +10%#046E3A
Darker −10%#000C06
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#003F20
Less saturated −25%#0A3520

Channel breakdown

R2
G61
B32
Red2 (0.8%)
Green61 (23.9%)
Blue32 (12.5%)
Hue150.51°
Saturation (HSL)93.65%
Lightness12.35%
Dominant channelGreen
Hex per channelR 02 · G 3D · B 20

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Every value on this page was computed from “023d20” 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 /23d20.