Dice notation

1d13

1d13
1 to 13
mean 7

Rolling 1d13 gives a total between 1 and 13, with a mean of 7 and a standard deviation of 3.7417. There are 13 equally likely ordered outcomes, and the most likely total is 1 or 2 or 3 or 4 or 5 or 6 or 7 or 8 or 9 or 10 or 11 or 12 or 13 at 7.692%.

The canonical address for this page is /1d13.

The roll

Notation1d13

Dice1

Faces per die13

Minimum total1a 1

Maximum total13all 1 dice showing 13

Distinct totals13

Mean7n(f + 1)/2 + modifier, exact

Variance14n(f² − 1)/12, exact

Standard deviation3.74165739≈

Counting the outcomes

Ordered outcomes1313^1, every die distinguishable

Most likely total1 and 2 and 3 and 4 and 5 and 6 and 7 and 8 and 9 and 10 and 11 and 12 and 13two totals share the peak

Chance of that total7.692308%≈

Ways to roll it1exact count

Chance of the minimum7.69230769%≈1 in 13

Chance of the maximum7.69230769%≈1 in 13

Probability of each total

Exact counts, by enumeration over every combination.

17.69%

27.69%

37.69%

47.69%

57.69%

67.69%

77.69%

87.69%

97.69%

107.69%

117.69%

127.69%

137.69%

17.6923%1 way

27.6923%1 way

37.6923%1 way

47.6923%1 way

57.6923%1 way

67.6923%1 way

77.6923%1 way

87.6923%1 way

97.6923%1 way

107.6923%1 way

117.6923%1 way

127.6923%1 way

137.6923%1 way

Chance of rolling at least

292.3077%≈

476.9231%≈

753.8462%≈

1030.7692%≈

1215.3846%≈

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

The same dice, different counts

The same count, different dice

Also reads as

#D00013 (colour)

#D00013
Red
Dark
Nearest: Crimson

#D00013 is a red with RGB values 208, 0, 19 and HSL 355°, 100%, 41%. It is a dark colour, so white text on it reaches 5.7:1 contrast (AA for normal text). The nearest named colour is Crimson.

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Colour values

#D00013#D00013

HEX#D00013

RGBrgb(208, 0, 19)

RGB (0–1)0.8157, 0, 0.0745

RGB percentages81.6%, 0%, 7.5%

HSLhsl(354.5, 100%, 40.8%)

HSV / HSBhsv(354.5, 100%, 81.6%)

CMYK0%, 100%, 90.9%, 18.4%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer13,631,507

CSS custom property--colour: #D00013;

Brightness & contrast

Relative luminance0.13457WCAG 2.x, 0 is black and 1 is white

Perceived brightness113.9 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 5.69:1

Contrast with white5.69:1WCAG normal text: AA

Contrast with black3.69:1WCAG normal text: Fail

Greyscale equivalent#2E2E2E

Inverted#2FFFEC

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#574C0Eno red cones; affects about 1% of men; ΔE 74.2 from the original

Deuteranopia#847500no green cones; the most common form, about 1% of men; ΔE 74.2 from the original

Tritanopia#E6000Fno blue cones; rare, and affects men and women equally; ΔE 9.7 from the original

Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning

Contrast with white, large text5.69:1WCAG large text: AAA

Contrast with black, large text3.69:1WCAG large text: AA

Named colours

Crimson · ΔE 18.1 Firebrick · ΔE 19.2 Red · ΔE 21.9 Tomato · ΔE 22.3 Orange red · ΔE 22.7 Dark red · ΔE 25.6

Nearest named CSS colourCrimson (#DC143C)ΔE 18.07, a distinctly different colour

Hue familyred

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#00D0BD

Analogous#D0007B, #D05500

Triadic#13D000, #0013D0

Split complementary#00D055, #007BD0

Tetradic#7BD000, #00D0BD, #5500D0

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#FF9DA6

Lighter +30%#FF6A78

Lighter +20%#FF3749

Lighter +10%#FF041B

Darker −10%#9D000E

Darker −20%#6A000A

Darker −30%#370005

Darker −40%#040000

More saturated +25%#D00013

Less saturated −25%#B61A28

Channel breakdown

R208

B19

Red208 (81.6%)

Green0 (0%)

Blue19 (7.5%)

Hue354.52°

Saturation (HSL)100%

Lightness40.78%

Dominant channelRed

Hex per channelR D0 · G 00 · B 13

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

1d13

The roll

Counting the outcomes

Probability of each total

Chance of rolling at least

Keep nerding

The same dice, different counts

The same count, different dice

#D00013 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

Nerdulate something else