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Dice notation

40d9

  • 40d9
  • 40 to 360
  • mean 200
  • mode 200

Rolling 40d9 gives a total between 40 and 360, with a mean of 200 and a standard deviation of 16.3299. There are 147,808,829,414,345,923,316,083,210,206,383,297,601 equally likely ordered outcomes, and the most likely total is 200 at 2.434%.

The canonical address for this page is /40d9.

The roll

Notation40d9
Dice40
Faces per die9
Minimum total40all 40 dice showing 1
Maximum total360all 40 dice showing 9
Distinct totals321
Mean200n(f + 1)/2 + modifier, exact
Variance266.66666667n(f² − 1)/12, exact
Standard deviation16.32993162≈

Counting the outcomes

Ordered outcomes147,808,829,414,345,923,316,083,210,206,383,297,6019^40, every die distinguishable
Most likely total200
Chance of that total2.433607%≈
Ways to roll it3,597,085,621,123,380,509,720,835,427,830,224,775exact count
Chance of the minimum6.7654957 × 10^-37%≈1 in 147,808,829,414,345,923,316,083,210,206,383,297,601
Chance of the maximum6.7654957 × 10^-37%≈1 in 147,808,829,414,345,923,316,083,210,206,383,297,601

Shape of the distribution

321 distinct totals, too many to list individually.

1st percentile162≈1.062% of rolls are this or lower
5th percentile173≈5.237% of rolls are this or lower
25th percentile189≈26.078% of rolls are this or lower
50th percentile200≈51.217% of rolls are this or lower
75th percentile211≈75.868% of rolls are this or lower
95th percentile227≈95.39% of rolls are this or lower
99th percentile238≈99.101% of rolls are this or lower

Chance of rolling at least

72100%≈
120100%≈
20051.2168%≈
2800%≈
3281.90423129 × 10^-16%≈

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The same dice, different counts

The same count, different dice

Also reads as

#040D09 (colour)

  • #040D09
  • Cyan
  • Dark
  • Nearest: Black

#040D09 is a cyan with RGB values 4, 13, 9 and HSL 153°, 53%, 3%. It is a dark colour, so white text on it reaches 19.7:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#040D09#040D09
HEX#040D09
RGBrgb(4, 13, 9)
RGB (0–1)0.0157, 0.051, 0.0353
RGB percentages1.6%, 5.1%, 3.5%
HSLhsl(153.3, 52.9%, 3.3%)
HSV / HSBhsv(153.3, 69.2%, 5.1%)
CMYK69.2%, 0%, 30.8%, 94.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer265,481
CSS custom property--colour: #040D09;

Brightness & contrast

Relative luminance0.00333WCAG 2.x, 0 is black and 1 is white
Perceived brightness10.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.69:1
Contrast with white19.69:1WCAG normal text: AAA
Contrast with black1.07:1WCAG normal text: Fail
Greyscale equivalent#0B0B0B
Inverted#FBF2F6

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#0D0C09no red cones; affects about 1% of men; ΔE 2.9 from the original
Deuteranopia#0B0A09no green cones; the most common form, about 1% of men; ΔE 3.2 from the original
Tritanopia#020D0Cno blue cones; rare, and affects men and women equally; ΔE 1.4 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.69:1WCAG large text: AAA
Contrast with black, large text1.07:1WCAG large text: Fail

Named colours

Black · ΔE 4.3Dark slate grey · ΔE 29.9Dim grey · ΔE 41.5Gray · ΔE 50.7Slate grey · ΔE 51.1Dark olivegreen · ΔE 51.8
Nearest named CSS colourBlack (#000000)ΔE 4.33, a close match
Hue familycyan
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#0D0408
Analogous#040D04, #040D0D
Triadic#09040D, #0D0904
Split complementary#0D040D, #0D0404
Tetradic#04040D, #0D0408, #0D0D04

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#34A975
Lighter +30%#28825A
Lighter +20%#1C5B3F
Lighter +10%#103424
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#020F09
Less saturated −25%#060B09

Channel breakdown

R4
G13
B9
Red4 (1.6%)
Green13 (5.1%)
Blue9 (3.5%)
Hue153.33°
Saturation (HSL)52.94%
Lightness3.33%
Dominant channelGreen
Hex per channelR 04 · G 0D · B 09

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Every value on this page was computed from “040d09” 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 /40d9.