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Recognised as Dice notation

100d40

  • 100d40
  • 100 to 4000
  • mean 2,050
  • mode 2050

Rolling 100d40 gives a total between 100 and 4,000, with a mean of 2,050 and a standard deviation of 115.434. There are 16,069,380,442,589,902,755,419,620,923,411,626,025,222,029,937,827,928,353,013,760,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 2,050 at 0.345%.

The roll

Notation100d40
Dice100
Faces per die40
Minimum total100all 100 dice showing 1
Maximum total4,000all 100 dice showing 40
Distinct totals3,901
Mean2,050n(f + 1)/2 + modifier, exact
Variance13,325n(f² − 1)/12, exact
Standard deviation115.43396381≈

Counting the outcomes

Ordered outcomes16,069,380,442,589,902,755,419,620,923,411,626,025,222,029,937,827,928,353,013,760,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,00040^100, every die distinguishable
Most likely total2,050
Chance of that total0.345083%≈
Ways to roll it55,452,655,003,170,158,345,258,955,348,715,099,726,151,673,609,112,885,488,447,879,138,544,151,681,759,157,474,592,815,248,257,128,277,113,545,764,888,967,894,684,392,905,517,124,196,289,028,044,923,159,415,360exact count
Chance of the minimum6.22301528 × 10^-159%≈1 in 16,069,380,442,589,902,755,419,620,923,411,626,025,222,029,937,827,928,353,013,760,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Chance of the maximum6.22301528 × 10^-159%≈1 in 16,069,380,442,589,902,755,419,620,923,411,626,025,222,029,937,827,928,353,013,760,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Shape of the distribution

3,901 distinct totals, too many to list individually.

1st percentile1,782≈1.017% of rolls are this or lower
5th percentile1,860≈5.036% of rolls are this or lower
25th percentile1,972≈25.126% of rolls are this or lower
50th percentile2,050≈50.173% of rolls are this or lower
75th percentile2,128≈75.149% of rolls are this or lower
95th percentile2,240≈95.054% of rolls are this or lower
99th percentile2,318≈99.007% of rolls are this or lower

Chance of rolling at least

490100%≈
1,075100%≈
2,05050.1725%≈
3,0258.38290093 × 10^-17%≈
3,6101.3241143 × 10^-52%≈

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The same dice, different counts

The same count, different dice

Also reads as

#100D40 (colour)

  • #100D40
  • Blue
  • Dark
  • Nearest: Midnight blue

#100D40 is a blue with RGB values 16, 13, 64 and HSL 244°, 66%, 15%. It is a dark colour, so white text on it reaches 18.2:1 contrast (AAA for normal text). The nearest named colour is Midnight blue.

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Colour values

#100D40#100D40
HEX#100D40
RGBrgb(16, 13, 64)
RGB (0–1)0.0627, 0.051, 0.251
RGB percentages6.3%, 5.1%, 25.1%
HSLhsl(243.5, 66.2%, 15.1%)
HSV / HSBhsv(243.5, 79.7%, 25.1%)
CMYK75%, 79.7%, 0%, 74.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,051,968
CSS custom property--colour: #100D40;

Brightness & contrast

Relative luminance0.00768WCAG 2.x, 0 is black and 1 is white
Perceived brightness25.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.2:1
Contrast with white18.2:1WCAG normal text: AAA
Contrast with black1.15:1WCAG normal text: Fail
Greyscale equivalent#111111
Inverted#EFF2BF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#001742no red cones; affects about 1% of men; ΔE 9.3 from the original
Deuteranopia#00133Fno green cones; the most common form, about 1% of men; ΔE 7.3 from the original
Tritanopia#001B25no blue cones; rare, and affects men and women equally; ΔE 34.1 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.2:1WCAG large text: AAA
Contrast with black, large text1.15:1WCAG large text: Fail

Named colours

Midnight blue · ΔE 23Dark slateblue · ΔE 26.7Rebecca purple · ΔE 37.8Black · ΔE 38.2Indigo · ΔE 40.5Navy · ΔE 43.2
Nearest named CSS colourMidnight blue (#191970)ΔE 23.04, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#3D400D
Analogous#0D2440, #290D40
Triadic#40100D, #0D4010
Split complementary#40290D, #24400D
Tetradic#400D24, #3D400D, #0D4029

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#4A41D8
Lighter +30%#3027BF
Lighter +20%#251E95
Lighter +10%#1B166A
Darker −10%#050416
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#08034A
Less saturated −25%#181736

Channel breakdown

R16
G13
B64
Red16 (6.3%)
Green13 (5.1%)
Blue64 (25.1%)
Hue243.53°
Saturation (HSL)66.23%
Lightness15.1%
Dominant channelBlue
Hex per channelR 10 · G 0D · B 40

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Every value on this page was computed from “100d40” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.