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Dice notation

31d7

  • 31d7
  • 31 to 217
  • mean 124
  • mode 124

Rolling 31d7 gives a total between 31 and 217, with a mean of 124 and a standard deviation of 11.1355. There are 157,775,382,034,845,806,615,042,743 equally likely ordered outcomes, and the most likely total is 124 at 3.565%.

The canonical address for this page is /31d7.

The roll

Notation31d7
Dice31
Faces per die7
Minimum total31all 31 dice showing 1
Maximum total217all 31 dice showing 7
Distinct totals187
Mean124n(f + 1)/2 + modifier, exact
Variance124n(f² − 1)/12, exact
Standard deviation11.13552873≈

Counting the outcomes

Ordered outcomes157,775,382,034,845,806,615,042,7437^31, every die distinguishable
Most likely total124
Chance of that total3.564516%≈
Ways to roll it5,623,927,972,425,207,850,092,261exact count
Chance of the minimum6.33812441 × 10^-25%≈1 in 157,775,382,034,845,806,615,042,743
Chance of the maximum6.33812441 × 10^-25%≈1 in 157,775,382,034,845,806,615,042,743

Shape of the distribution

187 distinct totals, too many to list individually.

1st percentile98≈1.073% of rolls are this or lower
5th percentile106≈5.813% of rolls are this or lower
25th percentile116≈25.116% of rolls are this or lower
50th percentile124≈51.782% of rolls are this or lower
75th percentile132≈77.651% of rolls are this or lower
95th percentile142≈95.167% of rolls are this or lower
99th percentile150≈99.161% of rolls are this or lower

Chance of rolling at least

50100%≈
7899.9991%≈
12451.7823%≈
1710.0009%≈
1981.89703991 × 10^-11%≈

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The same dice, different counts

The same count, different dice

Also reads as

#031D07 (colour)

  • #031D07
  • Green
  • Dark
  • Nearest: Black

#031D07 is a green with RGB values 3, 29, 7 and HSL 129°, 81%, 6%. It is a dark colour, so white text on it reaches 17.8:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#031D07#031D07
HEX#031D07
RGBrgb(3, 29, 7)
RGB (0–1)0.0118, 0.1137, 0.0275
RGB percentages1.2%, 11.4%, 2.7%
HSLhsl(129.2, 81.3%, 6.3%)
HSV / HSBhsv(129.2, 89.7%, 11.4%)
CMYK89.7%, 0%, 75.9%, 88.6%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer204,039
CSS custom property--colour: #031D07;

Brightness & contrast

Relative luminance0.00913WCAG 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 17.76:1
Contrast with white17.76:1WCAG normal text: AAA
Contrast with black1.18:1WCAG normal text: Fail
Greyscale equivalent#161616
Inverted#FCE2F8

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#1E1905no red cones; affects about 1% of men; ΔE 13.7 from the original
Deuteranopia#1A1708no 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 10.2 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text17.76:1WCAG large text: AAA
Contrast with black, large text1.18:1WCAG large text: Fail

Named colours

Black · ΔE 19Dark slate grey · ΔE 26.5Dim grey · ΔE 40Dark olivegreen · ΔE 40.4Teal · ΔE 46.1Gray · ΔE 48.5
Nearest named CSS colourBlack (#000000)ΔE 19.01, a distinctly different colour
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#1D0319
Analogous#0C1D03, #031D14
Triadic#07031D, #1D0703
Split complementary#14031D, #1D030C
Tetradic#030C1D, #1D0319, #1D1403

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#16D634
Lighter +30%#11A828
Lighter +20%#0D791D
Lighter +10%#084B12
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#002005
Less saturated −25%#07190A

Channel breakdown

R3
G29
B7
Red3 (1.2%)
Green29 (11.4%)
Blue7 (2.7%)
Hue129.23°
Saturation (HSL)81.25%
Lightness6.27%
Dominant channelGreen
Hex per channelR 03 · G 1D · B 07

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Every value on this page was computed from “031d07” 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 /31d7.