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Dice notation

3d78

  • 3d78
  • 3 to 234
  • mean 118.5

Rolling 3d78 gives a total between 3 and 234, with a mean of 118.5 and a standard deviation of 38.9968. There are 474,552 equally likely ordered outcomes, and the most likely total is 118 or 119 at 0.962%.

The canonical address for this page is /3d78.

The roll

Notation3d78
Dice3
Faces per die78
Minimum total3all 3 dice showing 1
Maximum total234all 3 dice showing 78
Distinct totals232
Mean118.5n(f + 1)/2 + modifier, exact
Variance1,520.75n(f² − 1)/12, exact
Standard deviation38.99679474

Counting the outcomes

Ordered outcomes474,55278^3, every die distinguishable
Most likely total118 and 119two totals share the peak
Chance of that total0.961538%
Ways to roll it4,563exact count
Chance of the minimum0.00021073%1 in 474,552
Chance of the maximum0.00021073%1 in 474,552

Shape of the distribution

232 distinct totals, too many to list individually.

1st percentile321.045% of rolls are this or lower
5th percentile545.227% of rolls are this or lower
25th percentile9125.419% of rolls are this or lower
50th percentile11850% of rolls are this or lower
75th percentile14675.383% of rolls are this or lower
95th percentile18395.064% of rolls are this or lower
99th percentile20599.053% of rolls are this or lower

Chance of rolling at least

2699.5153%
6192.789%
11950%
1767.584%
2110.5479%

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The same dice, different counts

The same count, different dice

Also reads as

#003D78 (colour)

  • #003D78
  • Blue
  • Dark
  • Nearest: Dark slateblue

#003D78 is a blue with RGB values 0, 61, 120 and HSL 210°, 100%, 24%. It is a dark colour, so white text on it reaches 10.8:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.

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Colour values

#003D78#003D78
HEX#003D78
RGBrgb(0, 61, 120)
RGB (0–1)0, 0.2392, 0.4706
RGB percentages0%, 23.9%, 47.1%
HSLhsl(209.5, 100%, 23.5%)
HSV / HSBhsv(209.5, 100%, 47.1%)
CMYK100%, 49.2%, 0%, 52.9%naive device-independent conversion; real print needs an ICC profile
24-bit integer15,736
CSS custom property--colour: #003D78;

Brightness & contrast

Relative luminance0.04694WCAG 2.x, 0 is black and 1 is white
Perceived brightness61.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 10.83:1
Contrast with white10.83:1WCAG normal text: AAA
Contrast with black1.94:1WCAG normal text: Fail
Greyscale equivalent#343434
Inverted#FFC287

Colour vision & accessibility

Protanopia#1A437Ano red cones; affects about 1% of men; ΔE 4.1 from the original
Deuteranopia#003977no green cones; the most common form, about 1% of men; ΔE 3.1 from the original
Tritanopia#004B54no blue cones; rare, and affects men and women equally; ΔE 36.6 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text10.83:1WCAG large text: AAA
Contrast with black, large text1.94:1WCAG large text: Fail

Named colours

Nearest named CSS colourDark slateblue (#483D8B)ΔE 19.35, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#783B00
Analogous#007877, #000178
Triadic#78003D, #3D7800
Split complementary#780001, #787700
Tetradic#770078, #783B00, #017800

Tints, shades & saturation

Lighter +40%#45A4FF
Lighter +30%#128AFF
Lighter +20%#0071DE
Lighter +10%#0057AB
Darker −10%#002345
Darker −20%#000912
Darker −30%#000000
Darker −40%#000000
More saturated +25%#003D78
Less saturated −25%#0F3D69

Channel breakdown

R0
G61
B120
Red0 (0%)
Green61 (23.9%)
Blue120 (47.1%)
Hue209.5°
Saturation (HSL)100%
Lightness23.53%
Dominant channelBlue
Hex per channelR 00 · G 3D · B 78

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Every value on this page was computed from “003d78” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.

This page is marked noindex: duplicate of /3d78.