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Dice notation

61d31

  • 61d31
  • 61 to 1891
  • mean 976
  • mode 976

Rolling 61d31 gives a total between 61 and 1,891, with a mean of 976 and a standard deviation of 69.857. There are 9,398,603,403,385,527,029,991,230,571,625,665,906,303,885,153,111,379,831,603,689,142,618,629,334,120,036,414,236,028,831 equally likely ordered outcomes, and the most likely total is 976 at 0.57%.

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The roll

Notation61d31
Dice61
Faces per die31
Minimum total61all 61 dice showing 1
Maximum total1,891all 61 dice showing 31
Distinct totals1,831
Mean976n(f + 1)/2 + modifier, exact
Variance4,880n(f² − 1)/12, exact
Standard deviation69.85699679≈

Counting the outcomes

Ordered outcomes9,398,603,403,385,527,029,991,230,571,625,665,906,303,885,153,111,379,831,603,689,142,618,629,334,120,036,414,236,028,83131^61, every die distinguishable
Most likely total976
Chance of that total0.569675%≈
Ways to roll it53,541,516,303,947,041,039,936,659,039,336,779,283,312,174,960,419,669,780,965,472,210,297,083,045,263,984,064,444,075exact count
Chance of the minimum1.06398787 × 10^-89%≈1 in 9,398,603,403,385,527,029,991,230,571,625,665,906,303,885,153,111,379,831,603,689,142,618,629,334,120,036,414,236,028,831
Chance of the maximum1.06398787 × 10^-89%≈1 in 9,398,603,403,385,527,029,991,230,571,625,665,906,303,885,153,111,379,831,603,689,142,618,629,334,120,036,414,236,028,831

Shape of the distribution

1,831 distinct totals, too many to list individually.

1st percentile814≈1.027% of rolls are this or lower
5th percentile861≈5.064% of rolls are this or lower
25th percentile929≈25.327% of rolls are this or lower
50th percentile976≈50.285% of rolls are this or lower
75th percentile1,023≈75.129% of rolls are this or lower
95th percentile1,091≈95.084% of rolls are this or lower
99th percentile1,138≈99.012% of rolls are this or lower

Chance of rolling at least

244100%≈
519100%≈
97650.2848%≈
1,4345.30512579 × 10^-10%≈
1,7082.42493464 × 10^-31%≈

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The same dice, different counts

The same count, different dice

Also reads as

#061D31 (colour)

  • #061D31
  • Blue
  • Dark
  • Nearest: Black

#061D31 is a blue with RGB values 6, 29, 49 and HSL 208°, 78%, 11%. It is a dark colour, so white text on it reaches 17.1:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#061D31#061D31
HEX#061D31
RGBrgb(6, 29, 49)
RGB (0–1)0.0235, 0.1137, 0.1922
RGB percentages2.4%, 11.4%, 19.2%
HSLhsl(207.9, 78.2%, 10.8%)
HSV / HSBhsv(207.9, 87.8%, 19.2%)
CMYK87.8%, 40.8%, 0%, 80.8%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer400,689
CSS custom property--colour: #061D31;

Brightness & contrast

Relative luminance0.01139WCAG 2.x, 0 is black and 1 is white
Perceived brightness27.9 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 17.1:1
Contrast with white17.1:1WCAG normal text: AAA
Contrast with black1.23:1WCAG normal text: Fail
Greyscale equivalent#1A1A1A
Inverted#F9E2CE

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#141E32no red cones; affects about 1% of men; ΔE 3.6 from the original
Deuteranopia#0E1A31no green cones; the most common form, about 1% of men; ΔE 4.3 from the original
Tritanopia#002224no blue cones; rare, and affects men and women equally; ΔE 15.4 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text17.1:1WCAG large text: AAA
Contrast with black, large text1.23:1WCAG large text: Fail

Named colours

Black · ΔE 18.8Dark slate grey · ΔE 26.9Dim grey · ΔE 37.8Dark slateblue · ΔE 42.7Slate grey · ΔE 43.1Steel blue · ΔE 45.5
Nearest named CSS colourBlack (#000000)ΔE 18.81, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#311A06
Analogous#063130, #060731
Triadic#31061D, #1D3106
Split complementary#310608, #313006
Tetradic#300631, #311A06, #073106

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#1F88E4
Lighter +30%#176EB9
Lighter +20%#11538C
Lighter +10%#0C385E
Darker −10%#000204
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#001D37
Less saturated −25%#0D1D2A

Channel breakdown

R6
G29
B49
Red6 (2.4%)
Green29 (11.4%)
Blue49 (19.2%)
Hue207.91°
Saturation (HSL)78.18%
Lightness10.78%
Dominant channelBlue
Hex per channelR 06 · G 1D · B 31

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