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Dice notation

45d100

  • 45d100
  • 45 to 4500
  • mean 2,272.5

Rolling 45d100 gives a total between 45 and 4,500, with a mean of 2,272.5 and a standard deviation of 193.6395. 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 equally likely ordered outcomes, and the most likely total is 2,272 or 2,273 at 0.205%.

The roll

Notation45d100
Dice45
Faces per die100
Minimum total45all 45 dice showing 1
Maximum total4,500all 45 dice showing 100
Distinct totals4,456
Mean2,272.5n(f + 1)/2 + modifier, exact
Variance37,496.25n(f² − 1)/12, exact
Standard deviation193.63948461≈

Counting the outcomes

Ordered outcomes1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000100^45, every die distinguishable
Most likely total2,272 and 2,273two totals share the peak
Chance of that total0.205334%≈
Ways to roll it2,053,344,921,863,030,238,864,490,917,184,463,822,404,483,480,524,889,358,593,527,428,098,934,613,604,381,143,525,000exact count
Chance of the minimum1 × 10^-88%≈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
Chance of the maximum1 × 10^-88%≈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

Shape of the distribution

4,456 distinct totals, too many to list individually.

1st percentile1,823≈1.004% of rolls are this or lower
5th percentile1,954≈5.033% of rolls are this or lower
25th percentile2,142≈25.161% of rolls are this or lower
50th percentile2,272≈50% of rolls are this or lower
75th percentile2,403≈75.003% of rolls are this or lower
95th percentile2,591≈95.021% of rolls are this or lower
99th percentile2,722≈99.01% of rolls are this or lower

Chance of rolling at least

491100%≈
1,159100%≈
2,27350%≈
3,3861.17247161 × 10^-7%≈
4,0551.18941534 × 10^-24%≈

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The same dice, different counts

The same count, different dice

Also reads as

#45D100 (colour)

  • #45D100
  • Green
  • Dark
  • Nearest: Limegreen

#45D100 is a green with RGB values 69, 209, 0 and HSL 100°, 100%, 41%. It is a dark colour, so black text on it reaches 10.4:1 contrast (AAA for normal text). The nearest named colour is Limegreen.

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Colour values

#45D100#45D100
HEX#45D100
RGBrgb(69, 209, 0)
RGB (0–1)0.2706, 0.8196, 0
RGB percentages27.1%, 82%, 0%
HSLhsl(100.2, 100%, 41%)
HSV / HSBhsv(100.2, 100%, 82%)
CMYK67%, 0%, 100%, 18%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,575,488
CSS custom property--colour: #45D100;

Brightness & contrast

Relative luminance0.46866WCAG 2.x, 0 is black and 1 is white
Perceived brightness164.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 10.37:1
Contrast with white2.02:1WCAG normal text: Fail
Contrast with black10.37:1WCAG normal text: AAA
Greyscale equivalent#A4A4A4
Inverted#BA2EFF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#D7BD00no red cones; affects about 1% of men; ΔE 61.4 from the original
Deuteranopia#C7B22Dno green cones; the most common form, about 1% of men; ΔE 61.1 from the original
Tritanopia#2DCAB1no blue cones; rare, and affects men and women equally; ΔE 74.7 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text2.02:1WCAG large text: Fail
Contrast with black, large text10.37:1WCAG large text: AAA

Named colours

Limegreen · ΔE 11.3Lawn green · ΔE 19.3Chartreuse · ΔE 20.6Green yellow · ΔE 24.8Lime · ΔE 25.9Yellow green · ΔE 29.7
Nearest named CSS colourLimegreen (#32CD32)ΔE 11.25, a distinctly different colour
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#8C00D1
Analogous#ADD100, #00D123
Triadic#0045D1, #D10045
Split complementary#2400D1, #D100AD
Tetradic#00AED1, #8C00D1, #D12400

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#BEFF9E
Lighter +30%#9CFF6B
Lighter +20%#7AFF38
Lighter +10%#58FF05
Darker −10%#349E00
Darker −20%#236B00
Darker −30%#123800
Darker −40%#020500
More saturated +25%#45D100
Less saturated −25%#4EB71A

Channel breakdown

R69
G209
B0
Red69 (27.1%)
Green209 (82%)
Blue0 (0%)
Hue100.19°
Saturation (HSL)100%
Lightness40.98%
Dominant channelGreen
Hex per channelR 45 · G D1 · B 00

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Every value on this page was computed from “45d100” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.