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Recognised as Dice notation

32d75

  • 32d75
  • 32 to 2400
  • mean 1,216
  • mode 1216

Rolling 32d75 gives a total between 32 and 2,400, with a mean of 1,216 and a standard deviation of 122.4636. There are 1,004,524,257,206,332,858,195,774,182,519,244,277,500,547,468,662,261,962,890,625 equally likely ordered outcomes, and the most likely total is 1,216 at 0.324%.

The canonical address for this page is /32d75.

The roll

Notation32d75
Dice32
Faces per die75
Minimum total32all 32 dice showing 1
Maximum total2,400all 32 dice showing 75
Distinct totals2,369
Mean1,216n(f + 1)/2 + modifier, exact
Variance14,997.33333333n(f² − 1)/12, exact
Standard deviation122.46360003≈

Counting the outcomes

Ordered outcomes1,004,524,257,206,332,858,195,774,182,519,244,277,500,547,468,662,261,962,890,62575^32, every die distinguishable
Most likely total1,216
Chance of that total0.324233%≈
Ways to roll it3,256,997,180,855,354,296,890,727,185,941,717,891,082,446,194,484,261,454,075exact count
Chance of the minimum9.9549612 × 10^-59%≈1 in 1,004,524,257,206,332,858,195,774,182,519,244,277,500,547,468,662,261,962,890,625
Chance of the maximum9.9549612 × 10^-59%≈1 in 1,004,524,257,206,332,858,195,774,182,519,244,277,500,547,468,662,261,962,890,625

Shape of the distribution

2,369 distinct totals, too many to list individually.

1st percentile932≈1.007% of rolls are this or lower
5th percentile1,014≈5.002% of rolls are this or lower
25th percentile1,133≈25.112% of rolls are this or lower
50th percentile1,216≈50.162% of rolls are this or lower
75th percentile1,299≈75.147% of rolls are this or lower
95th percentile1,418≈95.082% of rolls are this or lower
99th percentile1,500≈99.015% of rolls are this or lower

Chance of rolling at least

269100%≈
624100%≈
1,21650.1621%≈
1,8080%≈
2,1633.13149755 × 10^-17%≈

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The same dice, different counts

The same count, different dice

Also reads as

#032D75 (colour)

  • #032D75
  • Blue
  • Dark
  • Nearest: Dark slateblue

#032D75 is a blue with RGB values 3, 45, 117 and HSL 218°, 95%, 24%. It is a dark colour, so white text on it reaches 12.8:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.

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Colour values

#032D75#032D75
HEX#032D75
RGBrgb(3, 45, 117)
RGB (0–1)0.0118, 0.1765, 0.4588
RGB percentages1.2%, 17.6%, 45.9%
HSLhsl(217.9, 95%, 23.5%)
HSV / HSBhsv(217.9, 97.4%, 45.9%)
CMYK97.4%, 61.5%, 0%, 54.1%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer208,245
CSS custom property--colour: #032D75;

Brightness & contrast

Relative luminance0.0318WCAG 2.x, 0 is black and 1 is white
Perceived brightness52.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.84:1
Contrast with white12.84:1WCAG normal text: AAA
Contrast with black1.64:1WCAG normal text: Fail
Greyscale equivalent#292929
Inverted#FCD28A

Colour vision & accessibility

Protanopia#003777no red cones; affects about 1% of men; ΔE 8.2 from the original
Deuteranopia#002D74no green cones; the most common form, about 1% of men; ΔE 0.8 from the original
Tritanopia#00404Cno blue cones; rare, and affects men and women equally; ΔE 45.2 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text12.84:1WCAG large text: AAA
Contrast with black, large text1.64:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark slateblue (#483D8B)ΔE 13.08, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#754B03
Analogous#036675, #120375
Triadic#75032D, #2D7503
Split complementary#751203, #667503
Tetradic#750366, #754B03, #037512

Tints, shades & saturation

Lighter +40%#4A8BFA
Lighter +30%#186BF9
Lighter +20%#0653D8
Lighter +10%#0440A7
Darker −10%#021A43
Darker −20%#000712
Darker −30%#000000
Darker −40%#000000
More saturated +25%#002C78
Less saturated −25%#123166

Channel breakdown

R3
G45
B117
Red3 (1.2%)
Green45 (17.6%)
Blue117 (45.9%)
Hue217.89°
Saturation (HSL)95%
Lightness23.53%
Dominant channelBlue
Hex per channelR 03 · G 2D · B 75

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Every value on this page was computed from “032d75” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.