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Dice notation

31d69

  • 31d69
  • 31 to 2139
  • mean 1,085
  • mode 1085

Rolling 31d69 gives a total between 31 and 2,139, with a mean of 1,085 and a standard deviation of 110.8903. There are 1,010,001,021,111,797,636,726,605,406,693,246,154,630,898,595,236,863,558,669 equally likely ordered outcomes, and the most likely total is 1,085 at 0.358%.

The canonical address for this page is /31d69.

The roll

Notation31d69
Dice31
Faces per die69
Minimum total31all 31 dice showing 1
Maximum total2,139all 31 dice showing 69
Distinct totals2,109
Mean1,085n(f + 1)/2 + modifier, exact
Variance12,296.66666667n(f² − 1)/12, exact
Standard deviation110.89033622≈

Counting the outcomes

Ordered outcomes1,010,001,021,111,797,636,726,605,406,693,246,154,630,898,595,236,863,558,66969^31, every die distinguishable
Most likely total1,085
Chance of that total0.358017%≈
Ways to roll it3,615,976,788,948,155,955,593,331,912,342,822,008,343,961,170,178,604,509exact count
Chance of the minimum9.90098009 × 10^-56%≈1 in 1,010,001,021,111,797,636,726,605,406,693,246,154,630,898,595,236,863,558,669
Chance of the maximum9.90098009 × 10^-56%≈1 in 1,010,001,021,111,797,636,726,605,406,693,246,154,630,898,595,236,863,558,669

Shape of the distribution

2,109 distinct totals, too many to list individually.

1st percentile828≈1.011% of rolls are this or lower
5th percentile903≈5.093% of rolls are this or lower
25th percentile1,010≈25.173% of rolls are this or lower
50th percentile1,085≈50.179% of rolls are this or lower
75th percentile1,160≈75.113% of rolls are this or lower
95th percentile1,267≈95.001% of rolls are this or lower
99th percentile1,342≈99.013% of rolls are this or lower

Chance of rolling at least

242100%≈
558100%≈
1,08550.179%≈
1,6120%≈
1,9281.27884771 × 10^-16%≈

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The same dice, different counts

The same count, different dice

Also reads as

#031D69 (colour)

  • #031D69
  • Blue
  • Dark
  • Nearest: Midnight blue

#031D69 is a blue with RGB values 3, 29, 105 and HSL 225°, 94%, 21%. It is a dark colour, so white text on it reaches 15.2:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.

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Colour values

#031D69#031D69
HEX#031D69
RGBrgb(3, 29, 105)
RGB (0–1)0.0118, 0.1137, 0.4118
RGB percentages1.2%, 11.4%, 41.2%
HSLhsl(224.7, 94.4%, 21.2%)
HSV / HSBhsv(224.7, 97.1%, 41.2%)
CMYK97.1%, 72.4%, 0%, 58.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer204,137
CSS custom property--colour: #031D69;

Brightness & contrast

Relative luminance0.01918WCAG 2.x, 0 is black and 1 is white
Perceived brightness41.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 15.18:1
Contrast with white15.18:1WCAG normal text: AAA
Contrast with black1.38:1WCAG normal text: Fail
Greyscale equivalent#1D1D1D
Inverted#FCE296

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#002B6Bno red cones; affects about 1% of men; ΔE 11.8 from the original
Deuteranopia#002168no green cones; the most common form, about 1% of men; ΔE 4.2 from the original
Tritanopia#003240no blue cones; rare, and affects men and women equally; ΔE 47.8 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text15.18:1WCAG large text: AAA
Contrast with black, large text1.38:1WCAG large text: Fail

Named colours

Midnight blue · ΔE 7.8Dark slateblue · ΔE 16.4Rebecca purple · ΔE 25.5Indigo · ΔE 28.4Navy · ΔE 29.4Dark blue · ΔE 34.1
Nearest named CSS colourMidnight blue (#191970)ΔE 7.81, clearly different but related
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#694F03
Analogous#035069, #1C0369
Triadic#69031D, #1D6903
Split complementary#691C03, #506903
Tetradic#690350, #694F03, #03691C

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#3E6EFA
Lighter +30%#0D49F8
Lighter +20%#0638CC
Lighter +10%#042B9B
Darker −10%#020F37
Darker −20%#000206
Darker −30%#000000
Darker −40%#000000
More saturated +25%#001C6C
Less saturated −25%#11245B

Channel breakdown

R3
G29
B105
Red3 (1.2%)
Green29 (11.4%)
Blue105 (41.2%)
Hue224.71°
Saturation (HSL)94.44%
Lightness21.18%
Dominant channelBlue
Hex per channelR 03 · G 1D · B 69

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Every value on this page was computed from “031d69” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.

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