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Dice notation

53d41

  • 53d41
  • 53 to 2173
  • mean 1,113
  • mode 1113

Rolling 53d41 gives a total between 53 and 2,173, with a mean of 1,113 and a standard deviation of 86.1394. There are 30,029,244,509,755,528,909,515,354,610,714,362,612,715,673,268,101,405,247,552,215,337,242,228,689,328,157,470,921 equally likely ordered outcomes, and the most likely total is 1,113 at 0.462%.

The canonical address for this page is /53d41.

The roll

Notation53d41
Dice53
Faces per die41
Minimum total53all 53 dice showing 1
Maximum total2,173all 53 dice showing 41
Distinct totals2,121
Mean1,113n(f + 1)/2 + modifier, exact
Variance7,420n(f² − 1)/12, exact
Standard deviation86.13942187≈

Counting the outcomes

Ordered outcomes30,029,244,509,755,528,909,515,354,610,714,362,612,715,673,268,101,405,247,552,215,337,242,228,689,328,157,470,92141^53, every die distinguishable
Most likely total1,113
Chance of that total0.461821%≈
Ways to roll it138,681,461,142,638,941,782,336,713,735,338,828,151,981,379,183,043,292,371,518,107,585,596,999,762,320,214,389exact count
Chance of the minimum3.33008711 × 10^-84%≈1 in 30,029,244,509,755,528,909,515,354,610,714,362,612,715,673,268,101,405,247,552,215,337,242,228,689,328,157,470,921
Chance of the maximum3.33008711 × 10^-84%≈1 in 30,029,244,509,755,528,909,515,354,610,714,362,612,715,673,268,101,405,247,552,215,337,242,228,689,328,157,470,921

Shape of the distribution

2,121 distinct totals, too many to list individually.

1st percentile913≈1.014% of rolls are this or lower
5th percentile971≈5.027% of rolls are this or lower
25th percentile1,055≈25.273% of rolls are this or lower
50th percentile1,113≈50.231% of rolls are this or lower
75th percentile1,171≈75.096% of rolls are this or lower
95th percentile1,255≈95.092% of rolls are this or lower
99th percentile1,313≈99.018% of rolls are this or lower

Chance of rolling at least

265100%≈
583100%≈
1,11350.2309%≈
1,6438.75288641 × 10^-9%≈
1,9617.91184771 × 10^-28%≈

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The same dice, different counts

The same count, different dice

Also reads as

#053D41 (colour)

  • #053D41
  • Cyan
  • Dark
  • Nearest: Dark slate grey

#053D41 is a cyan with RGB values 5, 61, 65 and HSL 184°, 86%, 14%. It is a dark colour, so white text on it reaches 12:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.

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Colour values

#053D41#053D41
HEX#053D41
RGBrgb(5, 61, 65)
RGB (0–1)0.0196, 0.2392, 0.2549
RGB percentages2%, 23.9%, 25.5%
HSLhsl(184, 85.7%, 13.7%)
HSV / HSBhsv(184, 92.3%, 25.5%)
CMYK92.3%, 6.2%, 0%, 74.5%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer343,361
CSS custom property--colour: #053D41;

Brightness & contrast

Relative luminance0.03751WCAG 2.x, 0 is black and 1 is white
Perceived brightness51.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 12:1
Contrast with white12:1WCAG normal text: AAA
Contrast with black1.75:1WCAG normal text: Fail
Greyscale equivalent#313131
Inverted#FAC2BE

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#373A41no red cones; affects about 1% of men; ΔE 15.8 from the original
Deuteranopia#2F3441no green cones; the most common form, about 1% of men; ΔE 16.6 from the original
Tritanopia#00403Eno blue cones; rare, and affects men and women equally; ΔE 4.9 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text12:1WCAG large text: AAA
Contrast with black, large text1.75:1WCAG large text: Fail

Named colours

Dark slate grey · ΔE 9.8Dim grey · ΔE 27.3Black · ΔE 28.3Teal · ΔE 28.9Slate grey · ΔE 32.8Dark cyan · ΔE 33.3
Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 9.77, clearly different but related
Hue familycyan
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#410905
Analogous#054127, #051F41
Triadic#41053D, #3D4105
Split complementary#41051F, #412705
Tetradic#270541, #410905, #1F4105

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#24E1EE
Lighter +30%#10C2CF
Lighter +20%#0C96A0
Lighter +10%#096970
Darker −10%#011112
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#004146
Less saturated −25%#0E3538

Channel breakdown

R5
G61
B65
Red5 (2%)
Green61 (23.9%)
Blue65 (25.5%)
Hue184°
Saturation (HSL)85.71%
Lightness13.73%
Dominant channelBlue
Hex per channelR 05 · G 3D · B 41

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