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Dice notation

90d100

  • 90d100
  • 90 to 9000
  • mean 4,545
  • mode 4545

Rolling 90d100 gives a total between 90 and 9,000, with a mean of 4,545 and a standard deviation of 273.8476. There are 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 4,545 at 0.145%.

The roll

Notation90d100
Dice90
Faces per die100
Minimum total90all 90 dice showing 1
Maximum total9,000all 90 dice showing 100
Distinct totals8,911
Mean4,545n(f + 1)/2 + modifier, exact
Variance74,992.5n(f² − 1)/12, exact
Standard deviation273.84758535≈

Counting the outcomes

Ordered outcomes1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000100^90, every die distinguishable
Most likely total4,545
Chance of that total0.145437%≈
Ways to roll it1,454,373,521,693,102,323,554,042,624,896,165,042,106,300,447,042,386,650,390,531,221,672,943,685,073,536,854,483,988,857,127,050,608,663,922,729,244,113,444,204,811,119,253,297,071,942,131,923,149,034,682,509,647,815,209,104,798,532,400exact count
Chance of the minimum1 × 10^-178%≈1 in 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Chance of the maximum1 × 10^-178%≈1 in 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Shape of the distribution

8,911 distinct totals, too many to list individually.

1st percentile3,909≈1.007% of rolls are this or lower
5th percentile4,094≈5% of rolls are this or lower
25th percentile4,360≈25.054% of rolls are this or lower
50th percentile4,545≈50.073% of rolls are this or lower
75th percentile4,730≈75.061% of rolls are this or lower
95th percentile4,996≈95.037% of rolls are this or lower
99th percentile5,181≈99.003% of rolls are this or lower

Chance of rolling at least

981100%≈
2,318100%≈
4,54550.0727%≈
6,7731.25518331 × 10^-15%≈
8,1091.76692657 × 10^-49%≈

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The same dice, different counts

The same count, different dice

Also reads as

#90D100 (colour)

  • #90D100
  • Green
  • Light
  • Nearest: Yellow green

#90D100 is a green with RGB values 144, 209, 0 and HSL 79°, 100%, 41%. It is a light colour, so black text on it reaches 11.3:1 contrast (AAA for normal text). The nearest named colour is Yellow green.

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Colour values

#90D100#90D100
HEX#90D100
RGBrgb(144, 209, 0)
RGB (0–1)0.5647, 0.8196, 0
RGB percentages56.5%, 82%, 0%
HSLhsl(78.7, 100%, 41%)
HSV / HSBhsv(78.7, 100%, 82%)
CMYK31.1%, 0%, 100%, 18%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer9,490,688
CSS custom property--colour: #90D100;

Brightness & contrast

Relative luminance0.5153WCAG 2.x, 0 is black and 1 is white
Perceived brightness178.4 of 255ITU-R BT.601 weighting
Light or darkLight
Best text colour on this backgroundBlackcontrast 11.31:1
Contrast with white1.86:1WCAG normal text: Fail
Contrast with black11.31:1WCAG normal text: AAA
Greyscale equivalent#B4B4B4
Inverted#6F2EFF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#DCC100no red cones; affects about 1% of men; ΔE 39.3 from the original
Deuteranopia#D3BD2Bno green cones; the most common form, about 1% of men; ΔE 38.5 from the original
Tritanopia#95C7B1no blue cones; rare, and affects men and women equally; ΔE 74.3 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text1.86:1WCAG large text: Fail
Contrast with black, large text11.31:1WCAG large text: AAA

Named colours

Yellow green · ΔE 11.7Green yellow · ΔE 17.7Limegreen · ΔE 27Lawn green · ΔE 27.3Chartreuse · ΔE 28.2Yellow · ΔE 35.9
Nearest named CSS colourYellow green (#9ACD32)ΔE 11.75, a distinctly different colour
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#4100D1
Analogous#D1A900, #28D100
Triadic#0090D1, #D10090
Split complementary#0028D1, #A900D1
Tetradic#00D1A9, #4100D1, #D10028

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#E1FF9E
Lighter +30%#D1FF6B
Lighter +20%#C1FF38
Lighter +10%#B1FF05
Darker −10%#6D9E00
Darker −20%#4A6B00
Darker −30%#273800
Darker −40%#030500
More saturated +25%#90D100
Less saturated −25%#86B71A

Channel breakdown

R144
G209
B0
Red144 (56.5%)
Green209 (82%)
Blue0 (0%)
Hue78.66°
Saturation (HSL)100%
Lightness40.98%
Dominant channelGreen
Hex per channelR 90 · G D1 · B 00

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Every value on this page was computed from “90d100” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.