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Dice notation

40d7

  • 40d7
  • 40 to 280
  • mean 160
  • mode 160

Rolling 40d7 gives a total between 40 and 280, with a mean of 160 and a standard deviation of 12.6491. There are 6,366,805,760,909,027,985,741,435,139,224,001 equally likely ordered outcomes, and the most likely total is 160 at 3.142%.

The canonical address for this page is /40d7.

The roll

Notation40d7
Dice40
Faces per die7
Minimum total40all 40 dice showing 1
Maximum total280all 40 dice showing 7
Distinct totals241
Mean160n(f + 1)/2 + modifier, exact
Variance160n(f² − 1)/12, exact
Standard deviation12.64911064≈

Counting the outcomes

Ordered outcomes6,366,805,760,909,027,985,741,435,139,224,0017^40, every die distinguishable
Most likely total160
Chance of that total3.141577%≈
Ways to roll it200,018,125,733,654,567,755,310,652,383,117exact count
Chance of the minimum1.57064631 × 10^-32%≈1 in 6,366,805,760,909,027,985,741,435,139,224,001
Chance of the maximum1.57064631 × 10^-32%≈1 in 6,366,805,760,909,027,985,741,435,139,224,001

Shape of the distribution

241 distinct totals, too many to list individually.

1st percentile131≈1.191% of rolls are this or lower
5th percentile139≈5.259% of rolls are this or lower
25th percentile151≈25.146% of rolls are this or lower
50th percentile160≈51.571% of rolls are this or lower
75th percentile169≈77.302% of rolls are this or lower
95th percentile181≈95.543% of rolls are this or lower
99th percentile189≈99.037% of rolls are this or lower

Chance of rolling at least

64100%≈
100100%≈
16051.5708%≈
2200.0001%≈
2563.84920269 × 10^-15%≈

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The same dice, different counts

The same count, different dice

Also reads as

#040D07 (colour)

  • #040D07
  • Green
  • Dark
  • Nearest: Black

#040D07 is a green with RGB values 4, 13, 7 and HSL 140°, 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

#040D07#040D07
HEX#040D07
RGBrgb(4, 13, 7)
RGB (0–1)0.0157, 0.051, 0.0275
RGB percentages1.6%, 5.1%, 2.7%
HSLhsl(140, 52.9%, 3.3%)
HSV / HSBhsv(140, 69.2%, 5.1%)
CMYK69.2%, 0%, 46.2%, 94.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer265,479
CSS custom property--colour: #040D07;

Brightness & contrast

Relative luminance0.00329WCAG 2.x, 0 is black and 1 is white
Perceived brightness10.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.7:1
Contrast with white19.7:1WCAG normal text: AAA
Contrast with black1.07:1WCAG normal text: Fail
Greyscale equivalent#0B0B0B
Inverted#FBF2F8

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#0D0C07no red cones; affects about 1% of men; ΔE 2.9 from the original
Deuteranopia#0B0A07no green cones; the most common form, about 1% of men; ΔE 3.2 from the original
Tritanopia#030D0Bno blue cones; rare, and affects men and women equally; ΔE 1.6 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.7:1WCAG large text: AAA
Contrast with black, large text1.07:1WCAG large text: Fail

Named colours

Black · ΔE 4.7Dark slate grey · ΔE 30Dim grey · ΔE 41.6Gray · ΔE 50.7Dark olivegreen · ΔE 51.3Slate grey · ΔE 51.3
Nearest named CSS colourBlack (#000000)ΔE 4.69, a close match
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#0D040A
Analogous#060D04, #040D0C
Triadic#07040D, #0D0704
Split complementary#0B040D, #0D0406
Tetradic#04050D, #0D040A, #0D0C04

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#34A95B
Lighter +30%#288246
Lighter +20%#1C5B31
Lighter +10%#10341C
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#020F06
Less saturated −25%#060B08

Channel breakdown

R4
G13
B7
Red4 (1.6%)
Green13 (5.1%)
Blue7 (2.7%)
Hue140°
Saturation (HSL)52.94%
Lightness3.33%
Dominant channelGreen
Hex per channelR 04 · G 0D · B 07

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Every value on this page was computed from “040d07” 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 /40d7.