Dice notation

31d8

31d8
31 to 248
mean 139.5

Rolling 31d8 gives a total between 31 and 248, with a mean of 139.5 and a standard deviation of 12.7574. There are 9,903,520,314,283,042,199,192,993,792 equally likely ordered outcomes, and the most likely total is 139 or 140 at 3.109%.

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The roll

Notation31d8

Dice31

Faces per die8

Minimum total31all 31 dice showing 1

Maximum total248all 31 dice showing 8

Distinct totals218

Mean139.5n(f + 1)/2 + modifier, exact

Variance162.75n(f² − 1)/12, exact

Standard deviation12.75735082≈

Counting the outcomes

Ordered outcomes9,903,520,314,283,042,199,192,993,7928^31, every die distinguishable

Most likely total139 and 140two totals share the peak

Chance of that total3.109171%≈

Ways to roll it307,917,398,938,699,351,089,750,272exact count

Chance of the minimum1.00974196 × 10^-26%≈1 in 9,903,520,314,283,042,199,192,993,792

Chance of the maximum1.00974196 × 10^-26%≈1 in 9,903,520,314,283,042,199,192,993,792

Shape of the distribution

218 distinct totals, too many to list individually.

1st percentile110≈1.124% of rolls are this or lower

5th percentile119≈5.859% of rolls are this or lower

25th percentile131≈26.615% of rolls are this or lower

50th percentile140≈53.109% of rolls are this or lower

75th percentile148≈75.888% of rolls are this or lower

95th percentile160≈95.009% of rolls are this or lower

99th percentile169≈99.092% of rolls are this or lower

Chance of rolling at least

53100%≈

8599.9996%≈

14050%≈

1940.0007%≈

2264.61809325 × 10^-12%≈

Keep nerding

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The same dice, different counts

The same count, different dice

Also reads as

#031D08 (colour)

#031D08
Green
Dark
Nearest: Black

#031D08 is a green with RGB values 3, 29, 8 and HSL 132°, 81%, 6%. It is a dark colour, so white text on it reaches 17.7:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#031D08#031D08

HEX#031D08

RGBrgb(3, 29, 8)

RGB (0–1)0.0118, 0.1137, 0.0314

RGB percentages1.2%, 11.4%, 3.1%

HSLhsl(131.5, 81.3%, 6.3%)

HSV / HSBhsv(131.5, 89.7%, 11.4%)

CMYK89.7%, 0%, 72.4%, 88.6%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer204,040

CSS custom property--colour: #031D08;

Brightness & contrast

Relative luminance0.00916WCAG 2.x, 0 is black and 1 is white

Perceived brightness22.4 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 17.75:1

Contrast with white17.75:1WCAG normal text: AAA

Contrast with black1.18:1WCAG normal text: Fail

Greyscale equivalent#161616

Inverted#FCE2F7

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#1D1906no red cones; affects about 1% of men; ΔE 13.1 from the original

Deuteranopia#1A1709no green cones; the most common form, about 1% of men; ΔE 13.2 from the original

Tritanopia#001C18no blue cones; rare, and affects men and women equally; ΔE 9.8 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text17.75:1WCAG large text: AAA

Contrast with black, large text1.18:1WCAG large text: Fail

Named colours

Black · ΔE 18.7 Dark slate grey · ΔE 26.3 Dim grey · ΔE 39.9 Dark olivegreen · ΔE 40.6 Teal · ΔE 45.9 Gray · ΔE 48.3

Nearest named CSS colourBlack (#000000)ΔE 18.73, a distinctly different colour

Hue familygreen

CSS keyword usableNo exact keyword

Colour harmonies

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

Complementary#1D0318

Analogous#0B1D03, #031D15

Triadic#08031D, #1D0803

Split complementary#15031D, #1D030B

Tetradic#030B1D, #1D0318, #1D1503

Tints, shades & saturation

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

Lighter +40%#16D63B

Lighter +30%#11A82E

Lighter +20%#0D7922

Lighter +10%#084B15

Darker −10%#000000

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#002006

Less saturated −25%#07190A

Channel breakdown

G29

Red3 (1.2%)

Green29 (11.4%)

Blue8 (3.1%)

Hue131.54°

Saturation (HSL)81.25%

Lightness6.27%

Dominant channelGreen

Hex per channelR 03 · G 1D · B 08

Keep nerding

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

31d8

The roll

Counting the outcomes

Shape of the distribution

Chance of rolling at least

Keep nerding

The same dice, different counts

The same count, different dice

#031D08 (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