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Dice notation

42d71

  • 42d71
  • 42 to 2982
  • mean 1,512
  • mode 1512

Rolling 42d71 gives a total between 42 and 2,982, with a mean of 1,512 and a standard deviation of 132.8157. There are 566,044,592,922,467,932,920,289,630,256,783,944,174,352,087,720,184,706,882,390,017,513,705,742,761,841 equally likely ordered outcomes, and the most likely total is 1,512 at 0.299%.

The canonical address for this page is /42d71.

The roll

Notation42d71
Dice42
Faces per die71
Minimum total42all 42 dice showing 1
Maximum total2,982all 42 dice showing 71
Distinct totals2,941
Mean1,512n(f + 1)/2 + modifier, exact
Variance17,640n(f² − 1)/12, exact
Standard deviation132.81566173≈

Counting the outcomes

Ordered outcomes566,044,592,922,467,932,920,289,630,256,783,944,174,352,087,720,184,706,882,390,017,513,705,742,761,84171^42, every die distinguishable
Most likely total1,512
Chance of that total0.299298%≈
Ways to roll it1,694,158,988,287,602,471,921,665,932,521,007,305,305,360,123,475,937,621,358,622,637,256,190,433,323exact count
Chance of the minimum1.76664527 × 10^-76%≈1 in 566,044,592,922,467,932,920,289,630,256,783,944,174,352,087,720,184,706,882,390,017,513,705,742,761,841
Chance of the maximum1.76664527 × 10^-76%≈1 in 566,044,592,922,467,932,920,289,630,256,783,944,174,352,087,720,184,706,882,390,017,513,705,742,761,841

Shape of the distribution

2,941 distinct totals, too many to list individually.

1st percentile1,204≈1.012% of rolls are this or lower
5th percentile1,293≈5.003% of rolls are this or lower
25th percentile1,422≈25.085% of rolls are this or lower
50th percentile1,512≈50.15% of rolls are this or lower
75th percentile1,602≈75.154% of rolls are this or lower
95th percentile1,731≈95.075% of rolls are this or lower
99th percentile1,820≈99.009% of rolls are this or lower

Chance of rolling at least

336100%≈
777100%≈
1,51250.1496%≈
2,2474.67378937 × 10^-7%≈
2,6881.10551749 × 10^-22%≈

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The same dice, different counts

The same count, different dice

Also reads as

#042D71 (colour)

  • #042D71
  • Blue
  • Dark
  • Nearest: Dark slateblue

#042D71 is a blue with RGB values 4, 45, 113 and HSL 217°, 93%, 23%. It is a dark colour, so white text on it reaches 13:1 contrast (AAA for normal text). The nearest named colour is Dark slateblue.

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Colour values

#042D71#042D71
HEX#042D71
RGBrgb(4, 45, 113)
RGB (0–1)0.0157, 0.1765, 0.4431
RGB percentages1.6%, 17.6%, 44.3%
HSLhsl(217.4, 93.2%, 22.9%)
HSV / HSBhsv(217.4, 96.5%, 44.3%)
CMYK96.5%, 60.2%, 0%, 55.7%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer273,777
CSS custom property--colour: #042D71;

Brightness & contrast

Relative luminance0.03095WCAG 2.x, 0 is black and 1 is white
Perceived brightness51.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12.97:1
Contrast with white12.97:1WCAG normal text: AAA
Contrast with black1.62:1WCAG normal text: Fail
Greyscale equivalent#292929
Inverted#FBD28E

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#003673no red cones; affects about 1% of men; ΔE 7.4 from the original
Deuteranopia#002D70no green cones; the most common form, about 1% of men; ΔE 0.8 from the original
Tritanopia#003E4Ano blue cones; rare, and affects men and women equally; ΔE 42.3 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text12.97:1WCAG large text: AAA
Contrast with black, large text1.62:1WCAG large text: Fail

Named colours

Dark slateblue · ΔE 14.2Midnight blue · ΔE 17.3Rebecca purple · ΔE 29.5Slate blue · ΔE 35.1Indigo · ΔE 36.8Royal blue · ΔE 36.8
Nearest named CSS colourDark slateblue (#483D8B)ΔE 14.16, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#714804
Analogous#046471, #110471
Triadic#71042D, #2D7104
Split complementary#711104, #647104
Tetradic#710464, #714804, #047111

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#488BF9
Lighter +30%#176BF7
Lighter +20%#0754D4
Lighter +10%#0641A2
Darker −10%#021940
Darker −20%#01060E
Darker −30%#000000
Darker −40%#000000
More saturated +25%#002C75
Less saturated −25%#133162

Channel breakdown

R4
G45
B113
Red4 (1.6%)
Green45 (17.6%)
Blue113 (44.3%)
Hue217.43°
Saturation (HSL)93.16%
Lightness22.94%
Dominant channelBlue
Hex per channelR 04 · G 2D · B 71

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Every value on this page was computed from “042d71” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.

This page is marked noindex: duplicate of /42d71.