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Dice notation

83d98

  • 83d98
  • 83 to 8134
  • mean 4,108.5

Rolling 83d98 gives a total between 83 and 8,134, with a mean of 4,108.5 and a standard deviation of 257.7222. There are 1,869,667,085,064,162,754,409,407,304,123,377,722,335,134,721,463,987,856,365,137,538,900,327,720,321,003,440,932,431,941,284,362,810,355,263,597,630,685,143,341,253,878,091,392,655,488,455,405,421,766,780,405,564,833,792 equally likely ordered outcomes, and the most likely total is 4,108 or 4,109 at 0.155%.

The canonical address for this page is /83d98.

The roll

Notation83d98
Dice83
Faces per die98
Minimum total83all 83 dice showing 1
Maximum total8,134all 83 dice showing 98
Distinct totals8,052
Mean4,108.5n(f + 1)/2 + modifier, exact
Variance66,420.75n(f² − 1)/12, exact
Standard deviation257.7222342

Counting the outcomes

Ordered outcomes1,869,667,085,064,162,754,409,407,304,123,377,722,335,134,721,463,987,856,365,137,538,900,327,720,321,003,440,932,431,941,284,362,810,355,263,597,630,685,143,341,253,878,091,392,655,488,455,405,421,766,780,405,564,833,79298^83, every die distinguishable
Most likely total4,108 and 4,109two totals share the peak
Chance of that total0.154515%
Ways to roll it2,888,917,768,260,767,155,451,629,701,508,132,311,548,316,265,202,131,261,185,742,430,491,247,952,476,217,754,632,704,641,838,678,755,031,126,463,024,382,273,751,906,402,833,327,611,162,502,603,131,656,827,470,568,420exact count
Chance of the minimum5.34854578 × 10^-164%1 in 1,869,667,085,064,162,754,409,407,304,123,377,722,335,134,721,463,987,856,365,137,538,900,327,720,321,003,440,932,431,941,284,362,810,355,263,597,630,685,143,341,253,878,091,392,655,488,455,405,421,766,780,405,564,833,792
Chance of the maximum5.34854578 × 10^-164%1 in 1,869,667,085,064,162,754,409,407,304,123,377,722,335,134,721,463,987,856,365,137,538,900,327,720,321,003,440,932,431,941,284,362,810,355,263,597,630,685,143,341,253,878,091,392,655,488,455,405,421,766,780,405,564,833,792

Shape of the distribution

8,052 distinct totals, too many to list individually.

1st percentile3,5101.007% of rolls are this or lower
5th percentile3,6855.04% of rolls are this or lower
25th percentile3,93425.012% of rolls are this or lower
50th percentile4,10850% of rolls are this or lower
75th percentile4,28375.111% of rolls are this or lower
95th percentile4,53295% of rolls are this or lower
99th percentile4,70799.003% of rolls are this or lower

Chance of rolling at least

888100%
2,096100%
4,10950%
6,1212.23668491 × 10^-14%
7,3291.35114503 × 10^-45%

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The same dice, different counts

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Also reads as

#083D98 (colour)

  • #083D98
  • Blue
  • Dark
  • Nearest: Dark slateblue

#083D98 is a blue with RGB values 8, 61, 152 and HSL 218°, 90%, 31%. It is a dark colour, so white text on it reaches 9.9:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.

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Colour values

#083D98#083D98
HEX#083D98
RGBrgb(8, 61, 152)
RGB (0–1)0.0314, 0.2392, 0.5961
RGB percentages3.1%, 23.9%, 59.6%
HSLhsl(217.9, 90%, 31.4%)
HSV / HSBhsv(217.9, 94.7%, 59.6%)
CMYK94.7%, 59.9%, 0%, 40.4%naive device-independent conversion; real print needs an ICC profile
24-bit integer540,056
CSS custom property--colour: #083D98;

Brightness & contrast

Relative luminance0.05656WCAG 2.x, 0 is black and 1 is white
Perceived brightness69.6 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.85:1
Contrast with white9.85:1WCAG normal text: AAA
Contrast with black2.13:1WCAG normal text: Fail
Greyscale equivalent#383838
Inverted#F7C267

Colour vision & accessibility

Protanopia#004A9Bno red cones; affects about 1% of men; ΔE 10.1 from the original
Deuteranopia#003D96no green cones; the most common form, about 1% of men; ΔE 1.4 from the original
Tritanopia#005464no blue cones; rare, and affects men and women equally; ΔE 53.8 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.85:1WCAG large text: AAA
Contrast with black, large text2.13:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark slateblue (#483D8B)ΔE 12.78, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#986308
Analogous#088598, #1B0898
Triadic#98083D, #3D9808
Split complementary#981B08, #859808
Tetradic#980885, #986308, #08981B

Tints, shades & saturation

Lighter +40%#74A5F8
Lighter +30%#4485F5
Lighter +20%#1366F3
Lighter +10%#0B50C8
Darker −10%#052A68
Darker −20%#031637
Darker −30%#000307
Darker −40%#000000
More saturated +25%#003BA0
Less saturated −25%#1C4284

Channel breakdown

R8
G61
B152
Red8 (3.1%)
Green61 (23.9%)
Blue152 (59.6%)
Hue217.92°
Saturation (HSL)90%
Lightness31.37%
Dominant channelBlue
Hex per channelR 08 · G 3D · B 98

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Every value on this page was computed from “083d98” 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 /83d98.