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Dice notation

33d6

  • 33d6
  • 33 to 198
  • mean 115.5

Rolling 33d6 gives a total between 33 and 198, with a mean of 115.5 and a standard deviation of 9.8107. There are 47,751,966,659,678,405,306,351,616 equally likely ordered outcomes, and the most likely total is 115 or 116 at 4.042%.

The roll

Notation33d6
Dice33
Faces per die6
Minimum total33all 33 dice showing 1
Maximum total198all 33 dice showing 6
Distinct totals166
Mean115.5n(f + 1)/2 + modifier, exact
Variance96.25n(f² − 1)/12, exact
Standard deviation9.81070844

Counting the outcomes

Ordered outcomes47,751,966,659,678,405,306,351,6166^33, every die distinguishable
Most likely total115 and 116two totals share the peak
Chance of that total4.041673%
Ways to roll it1,929,978,244,648,467,274,004,370exact count
Chance of the minimum2.09415459 × 10^-24%1 in 47,751,966,659,678,405,306,351,616
Chance of the maximum2.09415459 × 10^-24%1 in 47,751,966,659,678,405,306,351,616

Shape of the distribution

166 distinct totals, too many to list individually.

1st percentile931.219% of rolls are this or lower
5th percentile995.148% of rolls are this or lower
25th percentile10927.118% of rolls are this or lower
50th percentile11550% of rolls are this or lower
75th percentile12276.144% of rolls are this or lower
95th percentile13295.85% of rolls are this or lower
99th percentile13899.074% of rolls are this or lower

Chance of rolling at least

50100%
7499.9995%
11650%
1570.0009%
1826.87902938 × 10^-12%

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The same dice, different counts

The same count, different dice

Also reads as

#3333DD (colour)

  • #3333DD
  • Blue
  • Dark
  • Nearest: Medium blue

#3333DD is a blue with RGB values 51, 51, 221 and HSL 240°, 71%, 53%. It is a dark colour, so white text on it reaches 7.9:1 contrast (AAA for normal text). The nearest named colour is Medium blue.

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Colour values

#3333DD#3333DD
HEX#3333DD
HEX (short)#33D
RGBrgb(51, 51, 221)
RGB (0–1)0.2, 0.2, 0.8667
RGB percentages20%, 20%, 86.7%
HSLhsl(240, 71.4%, 53.3%)
HSV / HSBhsv(240, 76.9%, 86.7%)
CMYK76.9%, 76.9%, 0%, 13.3%naive device-independent conversion; real print needs an ICC profile
24-bit integer3,355,613
CSS custom property--colour: #3333DD;

Brightness & contrast

Relative luminance0.08292WCAG 2.x, 0 is black and 1 is white
Perceived brightness88.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 7.9:1
Contrast with white7.9:1WCAG normal text: AAA
Contrast with black2.66:1WCAG normal text: Fail
Greyscale equivalent#3F3F3F
Inverted#CCCC22

Colour vision & accessibility

Protanopia#005AE2no red cones; affects about 1% of men; ΔE 27.1 from the original
Deuteranopia#0049DAno green cones; the most common form, about 1% of men; ΔE 17.6 from the original
Tritanopia#006787no blue cones; rare, and affects men and women equally; ΔE 91.4 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text7.9:1WCAG large text: AAA
Contrast with black, large text2.66:1WCAG large text: Fail

Named colours

Nearest named CSS colourMedium blue (#0000CD)ΔE 16.42, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#DDDD33
Analogous#3388DD, #8833DD
Triadic#DD3333, #33DD33
Split complementary#DD8833, #88DD33
Tetradic#DD3388, #DDDD33, #33DD88

Tints, shades & saturation

Lighter +40%#E2E2FA
Lighter +30%#B6B6F3
Lighter +20%#8A8AEC
Lighter +10%#5F5FE4
Darker −10%#2020BD
Darker −20%#181892
Darker −30%#111166
Darker −40%#0A0A3A
More saturated +25%#1515FB
Less saturated −25%#5151BF

Channel breakdown

R51
G51
B221
Red51 (20%)
Green51 (20%)
Blue221 (86.7%)
Hue240°
Saturation (HSL)71.43%
Lightness53.33%
Dominant channelBlue
Hex per channelR 33 · G 33 · B DD

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Every value on this page was computed from “33d6” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.