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Dice notation

72d4

  • 72d4
  • 72 to 288
  • mean 180
  • mode 180

Rolling 72d4 gives a total between 72 and 288, with a mean of 180 and a standard deviation of 9.4868. There are 22,300,745,198,530,623,141,535,718,272,648,361,505,980,416 equally likely ordered outcomes, and the most likely total is 180 at 4.195%.

The roll

Notation72d4
Dice72
Faces per die4
Minimum total72all 72 dice showing 1
Maximum total288all 72 dice showing 4
Distinct totals217
Mean180n(f + 1)/2 + modifier, exact
Variance90n(f² − 1)/12, exact
Standard deviation9.48683298≈

Counting the outcomes

Ordered outcomes22,300,745,198,530,623,141,535,718,272,648,361,505,980,4164^72, every die distinguishable
Most likely total180
Chance of that total4.195288%≈
Ways to roll it935,580,523,732,524,047,429,734,577,587,139,827,573,840exact count
Chance of the minimum4.48415509 × 10^-42%≈1 in 22,300,745,198,530,623,141,535,718,272,648,361,505,980,416
Chance of the maximum4.48415509 × 10^-42%≈1 in 22,300,745,198,530,623,141,535,718,272,648,361,505,980,416

Shape of the distribution

217 distinct totals, too many to list individually.

1st percentile158≈1.157% of rolls are this or lower
5th percentile164≈5.111% of rolls are this or lower
25th percentile174≈28.136% of rolls are this or lower
50th percentile180≈52.098% of rolls are this or lower
75th percentile186≈75.305% of rolls are this or lower
95th percentile196≈95.908% of rolls are this or lower
99th percentile202≈99.129% of rolls are this or lower

Chance of rolling at least

94100%≈
126100%≈
18052.0976%≈
2343.63047764 × 10^-7%≈
2665.912174 × 10^-21%≈

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The same dice, different counts

The same count, different dice

Also reads as

#7722DD (colour)

  • #7722DD
  • Violet
  • Dark
  • Nearest: Blue violet

#7722DD is a violet with RGB values 119, 34, 221 and HSL 267°, 73%, 50%. It is a dark colour, so white text on it reaches 6.9:1 contrast (AA for normal text). The nearest named colour is Blue violet.

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Colour values

#7722DD#7722DD
HEX#7722DD
HEX (short)#72D
RGBrgb(119, 34, 221)
RGB (0–1)0.4667, 0.1333, 0.8667
RGB percentages46.7%, 13.3%, 86.7%
HSLhsl(267.3, 73.3%, 50%)
HSV / HSBhsv(267.3, 84.6%, 86.7%)
CMYK46.2%, 84.6%, 0%, 13.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer7,807,709
CSS custom property--colour: #7722DD;

Brightness & contrast

Relative luminance0.10286WCAG 2.x, 0 is black and 1 is white
Perceived brightness102.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.87:1
Contrast with white6.87:1WCAG normal text: AA
Contrast with black3.06:1WCAG normal text: Fail
Greyscale equivalent#424242
Inverted#88DD22

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#005BE2no red cones; affects about 1% of men; ΔE 38.4 from the original
Deuteranopia#0058DAno green cones; the most common form, about 1% of men; ΔE 39.7 from the original
Tritanopia#5A5C84no blue cones; rare, and affects men and women equally; ΔE 81.9 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text6.87:1WCAG large text: AAA
Contrast with black, large text3.06:1WCAG large text: AA

Named colours

Blue violet · ΔE 5.3Dark violet · ΔE 10.8Medium blue · ΔE 18.9Dark orchid · ΔE 19.3Dark blue · ΔE 31.6Blue · ΔE 31.8
Nearest named CSS colourBlue violet (#8A2BE2)ΔE 5.27, clearly different but related
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#88DD22
Analogous#222BDD, #D422DD
Triadic#DD7722, #22DD77
Split complementary#DDD522, #2ADD22
Tetradic#DD222B, #88DD22, #22DDD4

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#E4D3F8
Lighter +30%#C9A7F1
Lighter +20%#AD7AEB
Lighter +10%#924EE4
Darker −10%#5F1BB1
Darker −20%#471485
Darker −30%#300E58
Darker −40%#18072C
More saturated +25%#7402FD
Less saturated −25%#7A42BD

Channel breakdown

R119
G34
B221
Red119 (46.7%)
Green34 (13.3%)
Blue221 (86.7%)
Hue267.27°
Saturation (HSL)73.33%
Lightness50%
Dominant channelBlue
Hex per channelR 77 · G 22 · B DD

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Every value on this page was computed from “72d4” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.