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Dice notation

51d8

  • 51d8
  • 51 to 408
  • mean 229.5

Rolling 51d8 gives a total between 51 and 408, with a mean of 229.5 and a standard deviation of 16.3631. There are 11,417,981,541,647,679,048,466,287,755,595,961,091,061,972,992 equally likely ordered outcomes, and the most likely total is 229 or 230 at 2.43%.

The roll

Notation51d8
Dice51
Faces per die8
Minimum total51all 51 dice showing 1
Maximum total408all 51 dice showing 8
Distinct totals358
Mean229.5n(f + 1)/2 + modifier, exact
Variance267.75n(f² − 1)/12, exact
Standard deviation16.36306817≈

Counting the outcomes

Ordered outcomes11,417,981,541,647,679,048,466,287,755,595,961,091,061,972,9928^51, every die distinguishable
Most likely total229 and 230two totals share the peak
Chance of that total2.429537%≈
Ways to roll it277,404,063,661,923,508,239,316,497,935,025,516,433,046,208exact count
Chance of the minimum8.7581154 × 10^-45%≈1 in 11,417,981,541,647,679,048,466,287,755,595,961,091,061,972,992
Chance of the maximum8.7581154 × 10^-45%≈1 in 11,417,981,541,647,679,048,466,287,755,595,961,091,061,972,992

Shape of the distribution

358 distinct totals, too many to list individually.

1st percentile192≈1.171% of rolls are this or lower
5th percentile203≈5.61% of rolls are this or lower
25th percentile218≈25.123% of rolls are this or lower
50th percentile229≈50% of rolls are this or lower
75th percentile241≈76.781% of rolls are this or lower
95th percentile256≈95.051% of rolls are this or lower
99th percentile267≈99.005% of rolls are this or lower

Chance of rolling at least

87100%≈
140100%≈
23050%≈
3190%≈
3723.11502756 × 10^-20%≈

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The same dice, different counts

The same count, different dice

Also reads as

#5511DD (colour)

  • #5511DD
  • Violet
  • Dark
  • Nearest: Medium blue

#5511DD is a violet with RGB values 85, 17, 221 and HSL 260°, 86%, 47%. It is a dark colour, so white text on it reaches 8.4:1 contrast (AAA for normal text). The nearest named colour is Medium blue.

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Colour values

#5511DD#5511DD
HEX#5511DD
HEX (short)#51D
RGBrgb(85, 17, 221)
RGB (0–1)0.3333, 0.0667, 0.8667
RGB percentages33.3%, 6.7%, 86.7%
HSLhsl(260, 85.7%, 46.7%)
HSV / HSBhsv(260, 92.3%, 86.7%)
CMYK61.5%, 92.3%, 0%, 13.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer5,575,133
CSS custom property--colour: #5511DD;

Brightness & contrast

Relative luminance0.07553WCAG 2.x, 0 is black and 1 is white
Perceived brightness88.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 8.36:1
Contrast with white8.36:1WCAG normal text: AAA
Contrast with black2.51:1WCAG normal text: Fail
Greyscale equivalent#2E2E2E
Inverted#AAEE22

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#0053E2no red cones; affects about 1% of men; ΔE 36.2 from the original
Deuteranopia#0047DAno green cones; the most common form, about 1% of men; ΔE 30.8 from the original
Tritanopia#005B82no blue cones; rare, and affects men and women equally; ΔE 98 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text8.36:1WCAG large text: AAA
Contrast with black, large text2.51:1WCAG large text: Fail

Named colours

Medium blue · ΔE 9.7Blue violet · ΔE 15.5Dark violet · ΔE 19Blue · ΔE 22.5Dark orchid · ΔE 29.5Dark blue · ΔE 32.8
Nearest named CSS colourMedium blue (#0000CD)ΔE 9.66, clearly different but related
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#99DD11
Analogous#1133DD, #BB11DD
Triadic#DD5511, #11DD55
Split complementary#DDBB11, #33DD11
Tetradic#DD1133, #99DD11, #11DDBB

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#D3C0FA
Lighter +30%#B290F7
Lighter +20%#9261F3
Lighter +10%#7132EF
Darker −10%#430DAE
Darker −20%#310A7E
Darker −30%#1E064F
Darker −40%#0C0220
More saturated +25%#4F00EE
Less saturated −25%#5F2FBF

Channel breakdown

R85
G17
B221
Red85 (33.3%)
Green17 (6.7%)
Blue221 (86.7%)
Hue260°
Saturation (HSL)85.71%
Lightness46.67%
Dominant channelBlue
Hex per channelR 55 · G 11 · B DD

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Every value on this page was computed from “51d8” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.