Dice notation
31d6
- 31d6
- 31 to 186
- mean 108.5
Rolling 31d6 gives a total between 31 and 186, with a mean of 108.5 and a standard deviation of 9.5088. There are 1,326,443,518,324,400,147,398,656 equally likely ordered outcomes, and the most likely total is 108 or 109 at 4.168%.
The roll
Notation31d6
Dice31
Faces per die6
Minimum total31all 31 dice showing 1
Maximum total186all 31 dice showing 6
Distinct totals156
Mean108.5n(f + 1)/2 + modifier, exact
Variance90.41666667n(f² − 1)/12, exact
Standard deviation9.50876788≈
Counting the outcomes
Ordered outcomes1,326,443,518,324,400,147,398,6566^31, every die distinguishable
Most likely total108 and 109two totals share the peak
Chance of that total4.168373%≈
Ways to roll it55,291,111,957,193,043,094,857exact count
Chance of the minimum7.53895651 × 10^-23%≈1 in 1,326,443,518,324,400,147,398,656
Chance of the maximum7.53895651 × 10^-23%≈1 in 1,326,443,518,324,400,147,398,656
Shape of the distribution
156 distinct totals, too many to list individually.
1st percentile86≈1.005% of rolls are this or lower
5th percentile93≈5.742% of rolls are this or lower
25th percentile102≈26.485% of rolls are this or lower
50th percentile109≈54.168% of rolls are this or lower
75th percentile115≈76.834% of rolls are this or lower
95th percentile124≈95.381% of rolls are this or lower
99th percentile131≈99.25% of rolls are this or lower
Chance of rolling at least
47100%≈
7099.9987%≈
10950%≈
1470.0021%≈
1713.79409248 × 10^-11%≈
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Also reads as
#3311DD (colour)
- #3311DD
- Blue
- Dark
- Nearest: Medium blue
#3311DD is a blue with RGB values 51, 17, 221 and HSL 250°, 86%, 47%. It is a dark colour, so white text on it reaches 9.3:1 contrast (AAA for normal text). The nearest named colour is Medium blue.
Colour values
#3311DD#3311DD
HEX#3311DD
HEX (short)#31D
RGBrgb(51, 17, 221)
RGB (0–1)0.2, 0.0667, 0.8667
RGB percentages20%, 6.7%, 86.7%
HSLhsl(250, 85.7%, 46.7%)
HSV / HSBhsv(250, 92.3%, 86.7%)
CMYK76.9%, 92.3%, 0%, 13.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,346,909
CSS custom property--colour: #3311DD;
Brightness & contrast
Relative luminance0.06325WCAG 2.x, 0 is black and 1 is white
Perceived brightness80.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.27:1
Contrast with white9.27:1WCAG normal text: AAA
Contrast with black2.27:1WCAG normal text: Fail
Greyscale equivalent#272727
Inverted#CCEE22
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.27:1WCAG large text: AAA
Contrast with black, large text2.27:1WCAG large text: Fail
Named colours
Hue familyblue
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#BBDD11
Analogous#1155DD, #9911DD
Triadic#DD3311, #11DD33
Split complementary#DD9911, #55DD11
Tetradic#DD1155, #BBDD11, #11DD99
Tints, shades & saturation
Channel breakdown
R51
G17
B221
Red51 (20%)
Green17 (6.7%)
Blue221 (86.7%)
Hue250°
Saturation (HSL)85.71%
Lightness46.67%
Dominant channelBlue
Hex per channelR 33 · G 11 · B DD
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Harmonies
Similar named colours
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