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Dice notation

81d4

  • 81d4
  • 81 to 324
  • mean 202.5

Rolling 81d4 gives a total between 81 and 324, with a mean of 202.5 and a standard deviation of 10.0623. There are 5,846,006,549,323,611,672,814,739,330,865,132,078,623,730,171,904 equally likely ordered outcomes, and the most likely total is 202 or 203 at 3.952%.

The roll

Notation81d4
Dice81
Faces per die4
Minimum total81all 81 dice showing 1
Maximum total324all 81 dice showing 4
Distinct totals244
Mean202.5n(f + 1)/2 + modifier, exact
Variance101.25n(f² − 1)/12, exact
Standard deviation10.0623059≈

Counting the outcomes

Ordered outcomes5,846,006,549,323,611,672,814,739,330,865,132,078,623,730,171,9044^81, every die distinguishable
Most likely total202 and 203two totals share the peak
Chance of that total3.951556%≈
Ways to roll it231,008,212,644,870,524,806,762,077,456,215,841,961,420,639,920exact count
Chance of the minimum1.71056941 × 10^-47%≈1 in 5,846,006,549,323,611,672,814,739,330,865,132,078,623,730,171,904
Chance of the maximum1.71056941 × 10^-47%≈1 in 5,846,006,549,323,611,672,814,739,330,865,132,078,623,730,171,904

Shape of the distribution

244 distinct totals, too many to list individually.

1st percentile179≈1.1% of rolls are this or lower
5th percentile186≈5.589% of rolls are this or lower
25th percentile196≈27.578% of rolls are this or lower
50th percentile202≈50% of rolls are this or lower
75th percentile209≈75.639% of rolls are this or lower
95th percentile219≈95.449% of rolls are this or lower
99th percentile226≈99.159% of rolls are this or lower

Chance of rolling at least

105100%≈
142100%≈
20350%≈
2634.77351071 × 10^-8%≈
3004.26023404 × 10^-24%≈

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The same dice, different counts

The same count, different dice

Also reads as

#8811DD (colour)

  • #8811DD
  • Violet
  • Dark
  • Nearest: Blue violet

#8811DD is a violet with RGB values 136, 17, 221 and HSL 275°, 86%, 47%. It is a dark colour, so white text on it reaches 6.6:1 contrast (AA for normal text). The nearest named colour is Blue violet.

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Colour values

#8811DD#8811DD
HEX#8811DD
HEX (short)#81D
RGBrgb(136, 17, 221)
RGB (0–1)0.5333, 0.0667, 0.8667
RGB percentages53.3%, 6.7%, 86.7%
HSLhsl(275, 85.7%, 46.7%)
HSV / HSBhsv(275, 92.3%, 86.7%)
CMYK38.5%, 92.3%, 0%, 13.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,917,469
CSS custom property--colour: #8811DD;

Brightness & contrast

Relative luminance0.10856WCAG 2.x, 0 is black and 1 is white
Perceived brightness106.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.62:1
Contrast with white6.62:1WCAG normal text: AA
Contrast with black3.17:1WCAG normal text: Fail
Greyscale equivalent#393939
Inverted#77EE22

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#005BE2no red cones; affects about 1% of men; ΔE 43.9 from the original
Deuteranopia#005CDAno green cones; the most common form, about 1% of men; ΔE 48 from the original
Tritanopia#755682no blue cones; rare, and affects men and women equally; ΔE 78.1 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text6.62:1WCAG large text: AAA
Contrast with black, large text3.17:1WCAG large text: AA

Named colours

Blue violet · ΔE 6.1Dark violet · ΔE 6.4Dark orchid · ΔE 19.6Medium blue · ΔE 22.1Blue · ΔE 32.3Fuchsia · ΔE 35.1
Nearest named CSS colourBlue violet (#8A2BE2)ΔE 6.06, clearly different but related
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#66DD11
Analogous#2211DD, #DD11CC
Triadic#DD8811, #11DD88
Split complementary#CCDD11, #11DD22
Tetradic#DD2211, #66DD11, #11CCDD

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#E2C0FA
Lighter +30%#CC90F7
Lighter +20%#B661F3
Lighter +10%#A032EF
Darker −10%#6B0DAE
Darker −20%#4E0A7E
Darker −30%#31064F
Darker −40%#130220
More saturated +25%#8B00EE
Less saturated −25%#832FBF

Channel breakdown

R136
G17
B221
Red136 (53.3%)
Green17 (6.7%)
Blue221 (86.7%)
Hue275°
Saturation (HSL)85.71%
Lightness46.67%
Dominant channelBlue
Hex per channelR 88 · G 11 · B DD

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Every value on this page was computed from “81d4” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.