Dice notation

1d40

1d40
1 to 40
mean 20.5

Rolling 1d40 gives a total between 1 and 40, with a mean of 20.5 and a standard deviation of 11.5434. There are 40 equally likely ordered outcomes, and the most likely total is 1 or 2 or 3 or 4 or 5 or 6 or 7 or 8 or 9 or 10 or 11 or 12 or 13 or 14 or 15 or 16 or 17 or 18 or 19 or 20 or 21 or 22 or 23 or 24 or 25 or 26 or 27 or 28 or 29 or 30 or 31 or 32 or 33 or 34 or 35 or 36 or 37 or 38 or 39 or 40 at 2.5%.

The canonical address for this page is /1d40.

The roll

Notation1d40

Dice1

Faces per die40

Minimum total1a 1

Maximum total40all 1 dice showing 40

Distinct totals40

Mean20.5n(f + 1)/2 + modifier, exact

Variance133.25n(f² − 1)/12, exact

Standard deviation11.54339638≈

Counting the outcomes

Ordered outcomes4040^1, every die distinguishable

Most likely total1 and 2 and 3 and 4 and 5 and 6 and 7 and 8 and 9 and 10 and 11 and 12 and 13 and 14 and 15 and 16 and 17 and 18 and 19 and 20 and 21 and 22 and 23 and 24 and 25 and 26 and 27 and 28 and 29 and 30 and 31 and 32 and 33 and 34 and 35 and 36 and 37 and 38 and 39 and 40two totals share the peak

Chance of that total2.5%≈

Ways to roll it1exact count

Chance of the minimum2.5%≈1 in 40

Chance of the maximum2.5%≈1 in 40

Probability of each total

Exact counts, by enumeration over every combination.

12.5%

22.5%

32.5%

42.5%

52.5%

62.5%

72.5%

82.5%

92.5%

102.5%

112.5%

122.5%

132.5%

142.5%

152.5%

162.5%

172.5%

182.5%

192.5%

202.5%

212.5%

222.5%

232.5%

242.5%

252.5%

262.5%

272.5%

282.5%

292.5%

302.5%

312.5%

322.5%

332.5%

342.5%

352.5%

362.5%

372.5%

382.5%

392.5%

402.5%

12.5%1 way

22.5%1 way

32.5%1 way

42.5%1 way

52.5%1 way

62.5%1 way

72.5%1 way

82.5%1 way

92.5%1 way

102.5%1 way

112.5%1 way

122.5%1 way

132.5%1 way

142.5%1 way

152.5%1 way

162.5%1 way

172.5%1 way

182.5%1 way

192.5%1 way

202.5%1 way

212.5%1 way

222.5%1 way

232.5%1 way

242.5%1 way

252.5%1 way

262.5%1 way

272.5%1 way

282.5%1 way

292.5%1 way

302.5%1 way

312.5%1 way

322.5%1 way

332.5%1 way

342.5%1 way

352.5%1 way

362.5%1 way

372.5%1 way

382.5%1 way

392.5%1 way

402.5%1 way

Chance of rolling at least

590%≈

1175%≈

2150%≈

3027.5%≈

3612.5%≈

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

Also reads as

#001D40 (colour)

#001D40
Blue
Dark
Nearest: Black

#001D40 is a blue with RGB values 0, 29, 64 and HSL 213°, 100%, 13%. It is a dark colour, so white text on it reaches 16.8:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#001D40#001D40

HEX#001D40

RGBrgb(0, 29, 64)

RGB (0–1)0, 0.1137, 0.251

RGB percentages0%, 11.4%, 25.1%

HSLhsl(212.8, 100%, 12.5%)

HSV / HSBhsv(212.8, 100%, 25.1%)

CMYK100%, 54.7%, 0%, 74.9%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer7,488

CSS custom property--colour: #001D40;

Brightness & contrast

Relative luminance0.01249WCAG 2.x, 0 is black and 1 is white

Perceived brightness31 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 16.8:1

Contrast with white16.8:1WCAG normal text: AAA

Contrast with black1.25:1WCAG normal text: Fail

Greyscale equivalent#191919

Inverted#FFE2BF

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#082041no red cones; affects about 1% of men; ΔE 2.3 from the original

Deuteranopia#001B3Fno green cones; the most common form, about 1% of men; ΔE 1.5 from the original

Tritanopia#00262Bno blue cones; rare, and affects men and women equally; ΔE 24.6 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text16.8:1WCAG large text: AAA

Contrast with black, large text1.25:1WCAG large text: Fail

Named colours

Black · ΔE 28.1 Dark slateblue · ΔE 33.2 Dark slate grey · ΔE 34.3 Midnight blue · ΔE 36 Dim grey · ΔE 42.3 Steel blue · ΔE 43.2

Nearest named CSS colourBlack (#000000)ΔE 28.11, a distinctly different colour

Hue familyblue

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#402300

Analogous#003D40, #030040

Triadic#40001D, #1D4000

Split complementary#400300, #3D4000

Tetradic#40003D, #402300, #004003

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#0D7BFF

Lighter +30%#0062D9

Lighter +20%#004BA6

Lighter +10%#003473

Darker −10%#00060D

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#001D40

Less saturated −25%#081E38

Channel breakdown

G29

B64

Red0 (0%)

Green29 (11.4%)

Blue64 (25.1%)

Hue212.81°

Saturation (HSL)100%

Lightness12.55%

Dominant channelBlue

Hex per channelR 00 · G 1D · B 40

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

1d40

The roll

Counting the outcomes

Probability of each total

Chance of rolling at least

Keep nerding

The same dice, different counts

The same count, different dice

#001D40 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

Nerdulate something else