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Dice notation

31d100

  • 31d100
  • 31 to 3100
  • mean 1,565.5

Rolling 31d100 gives a total between 31 and 3,100, with a mean of 1,565.5 and a standard deviation of 160.7195. There are 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 1,565 or 1,566 at 0.247%.

The roll

Notation31d100
Dice31
Faces per die100
Minimum total31all 31 dice showing 1
Maximum total3,100all 31 dice showing 100
Distinct totals3,070
Mean1,565.5n(f + 1)/2 + modifier, exact
Variance25,830.75n(f² − 1)/12, exact
Standard deviation160.71947611≈

Counting the outcomes

Ordered outcomes100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000100^31, every die distinguishable
Most likely total1,565 and 1,566two totals share the peak
Chance of that total0.247017%≈
Ways to roll it247,017,323,764,325,178,292,741,620,594,573,121,450,243,894,301,168,231,769,600exact count
Chance of the minimum1 × 10^-60%≈1 in 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Chance of the maximum1 × 10^-60%≈1 in 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Shape of the distribution

3,070 distinct totals, too many to list individually.

1st percentile1,193≈1.007% of rolls are this or lower
5th percentile1,301≈5.032% of rolls are this or lower
25th percentile1,457≈25.168% of rolls are this or lower
50th percentile1,566≈50.247% of rolls are this or lower
75th percentile1,674≈75.029% of rolls are this or lower
95th percentile1,830≈95.033% of rolls are this or lower
99th percentile1,938≈99.01% of rolls are this or lower

Chance of rolling at least

338100%≈
798100%≈
1,56650%≈
2,3330%≈
2,7937.32747565 × 10^-17%≈

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The same dice, different counts

The same count, different dice

Also reads as

#31D100 (colour)

  • #31D100
  • Green
  • Dark
  • Nearest: Limegreen

#31D100 is a green with RGB values 49, 209, 0 and HSL 106°, 100%, 41%. It is a dark colour, so black text on it reaches 10.3:1 contrast (AAA for normal text). The nearest named colour is Limegreen.

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Colour values

#31D100#31D100
HEX#31D100
RGBrgb(49, 209, 0)
RGB (0–1)0.1922, 0.8196, 0
RGB percentages19.2%, 82%, 0%
HSLhsl(105.9, 100%, 41%)
HSV / HSBhsv(105.9, 100%, 82%)
CMYK76.6%, 0%, 100%, 18%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,264,768
CSS custom property--colour: #31D100;

Brightness & contrast

Relative luminance0.46254WCAG 2.x, 0 is black and 1 is white
Perceived brightness162.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 10.25:1
Contrast with white2.05:1WCAG normal text: Fail
Contrast with black10.25:1WCAG normal text: AAA
Greyscale equivalent#A0A0A0
Inverted#CE2EFF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#D6BC00no red cones; affects about 1% of men; ΔE 64.9 from the original
Deuteranopia#C5B12Eno green cones; the most common form, about 1% of men; ΔE 64.2 from the original
Tritanopia#00CAB1no blue cones; rare, and affects men and women equally; ΔE 75 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text2.05:1WCAG large text: Fail
Contrast with black, large text10.25:1WCAG large text: AAA

Named colours

Limegreen · ΔE 11.2Lawn green · ΔE 20Chartreuse · ΔE 21.3Lime · ΔE 23.9Green yellow · ΔE 27.3Spring green · ΔE 29.8
Nearest named CSS colourLimegreen (#32CD32)ΔE 11.2, a distinctly different colour
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#A000D1
Analogous#9AD100, #00D138
Triadic#0031D1, #D10031
Split complementary#3700D1, #D1009A
Tetradic#009AD1, #A000D1, #D13800

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#B5FF9E
Lighter +30%#8EFF6B
Lighter +20%#67FF38
Lighter +10%#40FF05
Darker −10%#259E00
Darker −20%#196B00
Darker −30%#0D3800
Darker −40%#010500
More saturated +25%#31D100
Less saturated −25%#3FB71A

Channel breakdown

R49
G209
B0
Red49 (19.2%)
Green209 (82%)
Blue0 (0%)
Hue105.93°
Saturation (HSL)100%
Lightness40.98%
Dominant channelGreen
Hex per channelR 31 · G D1 · B 00

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Every value on this page was computed from “31d100” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.