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Dice notation

84d6

  • 84d6
  • 84 to 504
  • mean 294
  • mode 294

Rolling 84d6 gives a total between 84 and 504, with a mean of 294 and a standard deviation of 15.6525. There are 231,582,123,678,838,102,672,736,490,567,111,386,503,858,361,810,075,859,110,326,173,696 equally likely ordered outcomes, and the most likely total is 294 at 2.544%.

The roll

Notation84d6
Dice84
Faces per die6
Minimum total84all 84 dice showing 1
Maximum total504all 84 dice showing 6
Distinct totals421
Mean294n(f + 1)/2 + modifier, exact
Variance245n(f² − 1)/12, exact
Standard deviation15.65247584≈

Counting the outcomes

Ordered outcomes231,582,123,678,838,102,672,736,490,567,111,386,503,858,361,810,075,859,110,326,173,6966^84, every die distinguishable
Most likely total294
Chance of that total2.543934%≈
Ways to roll it5,891,296,841,709,472,808,574,725,786,108,275,264,535,175,470,495,473,237,160,514,312exact count
Chance of the minimum4.31812259 × 10^-64%≈1 in 231,582,123,678,838,102,672,736,490,567,111,386,503,858,361,810,075,859,110,326,173,696
Chance of the maximum4.31812259 × 10^-64%≈1 in 231,582,123,678,838,102,672,736,490,567,111,386,503,858,361,810,075,859,110,326,173,696

Shape of the distribution

421 distinct totals, too many to list individually.

1st percentile258≈1.156% of rolls are this or lower
5th percentile268≈5.165% of rolls are this or lower
25th percentile283≈25.148% of rolls are this or lower
50th percentile294≈51.272% of rolls are this or lower
75th percentile305≈76.843% of rolls are this or lower
95th percentile320≈95.479% of rolls are this or lower
99th percentile330≈99.025% of rolls are this or lower

Chance of rolling at least

126100%≈
189100%≈
29451.272%≈
3993.11829576 × 10^-10%≈
4622.0072977 × 10^-30%≈

Keep nerding

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The same dice, different counts

The same count, different dice

Also reads as

#8844DD (colour)

  • #8844DD
  • Violet
  • Dark
  • Nearest: Dark orchid

#8844DD is a violet with RGB values 136, 68, 221 and HSL 267°, 69%, 57%. It is a dark colour, so white text on it reaches 5.4:1 contrast (AA for normal text). The nearest named colour is Dark orchid.

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Colour values

#8844DD#8844DD
HEX#8844DD
HEX (short)#84D
RGBrgb(136, 68, 221)
RGB (0–1)0.5333, 0.2667, 0.8667
RGB percentages53.3%, 26.7%, 86.7%
HSLhsl(266.7, 69.2%, 56.7%)
HSV / HSBhsv(266.7, 69.2%, 86.7%)
CMYK38.5%, 69.2%, 0%, 13.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,930,525
CSS custom property--colour: #8844DD;

Brightness & contrast

Relative luminance0.14589WCAG 2.x, 0 is black and 1 is white
Perceived brightness117.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 5.36:1
Contrast with white5.36:1WCAG normal text: AA
Contrast with black3.92:1WCAG normal text: Fail
Greyscale equivalent#5E5E5E
Inverted#77BB22

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#006AE2no red cones; affects about 1% of men; ΔE 36.9 from the original
Deuteranopia#0069DAno green cones; the most common form, about 1% of men; ΔE 39.5 from the original
Tritanopia#74698Cno blue cones; rare, and affects men and women equally; ΔE 67.9 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text5.36:1WCAG large text: AAA
Contrast with black, large text3.92:1WCAG large text: AA

Named colours

Dark orchid · ΔE 10Blue violet · ΔE 14.1Medium slateblue · ΔE 18.7Dark violet · ΔE 19.1Medium orchid · ΔE 21.6Slate blue · ΔE 24.2
Nearest named CSS colourDark orchid (#9932CC)ΔE 10.04, a distinctly different colour
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#99DD44
Analogous#444CDD, #D544DD
Triadic#DD8844, #44DD88
Split complementary#DDD544, #4CDD44
Tetradic#DD444C, #99DD44, #44DDD5

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#F6F1FC
Lighter +30%#DAC5F5
Lighter +20%#BF9AED
Lighter +10%#A36FE5
Darker −10%#6E25C9
Darker −20%#561D9E
Darker −30%#3F1573
Darker −40%#270D48
More saturated +25%#8528F9
Less saturated −25%#8B60C1

Channel breakdown

R136
G68
B221
Red136 (53.3%)
Green68 (26.7%)
Blue221 (86.7%)
Hue266.67°
Saturation (HSL)69.23%
Lightness56.67%
Dominant channelBlue
Hex per channelR 88 · G 44 · B DD

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Every value on this page was computed from “84d6” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.