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Dice notation

51d4

  • 51d4
  • 51 to 204
  • mean 127.5

Rolling 51d4 gives a total between 51 and 204, with a mean of 127.5 and a standard deviation of 7.9844. There are 5,070,602,400,912,917,605,986,812,821,504 equally likely ordered outcomes, and the most likely total is 127 or 128 at 4.97%.

The canonical address for this page is /51d4.

The roll

Notation51d4
Dice51
Faces per die4
Minimum total51all 51 dice showing 1
Maximum total204all 51 dice showing 4
Distinct totals154
Mean127.5n(f + 1)/2 + modifier, exact
Variance63.75n(f² − 1)/12, exact
Standard deviation7.98435971≈

Counting the outcomes

Ordered outcomes5,070,602,400,912,917,605,986,812,821,5044^51, every die distinguishable
Most likely total127 and 128two totals share the peak
Chance of that total4.970257%≈
Ways to roll it252,021,988,154,057,419,676,307,010,704exact count
Chance of the minimum1.97215226 × 10^-29%≈1 in 5,070,602,400,912,917,605,986,812,821,504
Chance of the maximum1.97215226 × 10^-29%≈1 in 5,070,602,400,912,917,605,986,812,821,504

Shape of the distribution

154 distinct totals, too many to list individually.

1st percentile109≈1.187% of rolls are this or lower
5th percentile114≈5.17% of rolls are this or lower
25th percentile122≈26.605% of rolls are this or lower
50th percentile127≈50% of rolls are this or lower
75th percentile133≈77.335% of rolls are this or lower
95th percentile141≈96.035% of rolls are this or lower
99th percentile146≈99.154% of rolls are this or lower

Chance of rolling at least

66100%≈
89100%≈
12850%≈
1660.0001%≈
1894.7889431 × 10^-15%≈

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The same dice, different counts

The same count, different dice

Also reads as

#0051D4 (colour)

  • #0051D4
  • Blue
  • Dark
  • Nearest: Royal blue

#0051D4 is a blue with RGB values 0, 81, 212 and HSL 217°, 100%, 42%. It is a dark colour, so white text on it reaches 6.7:1 contrast (AA for normal text). The nearest named colour is Royal blue.

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Colour values

#0051D4#0051D4
HEX#0051D4
RGBrgb(0, 81, 212)
RGB (0–1)0, 0.3176, 0.8314
RGB percentages0%, 31.8%, 83.1%
HSLhsl(217.1, 100%, 41.6%)
HSV / HSBhsv(217.1, 100%, 83.1%)
CMYK100%, 61.8%, 0%, 16.9%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer20,948
CSS custom property--colour: #0051D4;

Brightness & contrast

Relative luminance0.10638WCAG 2.x, 0 is black and 1 is white
Perceived brightness94.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.71:1
Contrast with white6.71:1WCAG normal text: AA
Contrast with black3.13:1WCAG normal text: Fail
Greyscale equivalent#494949
Inverted#FFAE2B

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#0065D8no red cones; affects about 1% of men; ΔE 14.6 from the original
Deuteranopia#0053D2no green cones; the most common form, about 1% of men; ΔE 2.7 from the original
Tritanopia#00748Bno blue cones; rare, and affects men and women equally; ΔE 73.1 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text6.71:1WCAG large text: AAA
Contrast with black, large text3.13:1WCAG large text: AA

Named colours

Royal blue · ΔE 12.8Slate blue · ΔE 16.4Medium slateblue · ΔE 17.4Medium purple · ΔE 27.8Rebecca purple · ΔE 28Dark blue · ΔE 30.5
Nearest named CSS colourRoyal blue (#4169E1)ΔE 12.84, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#D48300
Analogous#00BBD4, #1900D4
Triadic#D40051, #51D400
Split complementary#D41900, #BBD400
Tetradic#D400BB, #D48300, #00D419

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#A1C5FF
Lighter +30%#6EA5FF
Lighter +20%#3B86FF
Lighter +10%#0866FF
Darker −10%#003EA1
Darker −20%#002A6E
Darker −30%#00173B
Darker −40%#000308
More saturated +25%#0051D4
Less saturated −25%#1B57BA

Channel breakdown

R0
G81
B212
Red0 (0%)
Green81 (31.8%)
Blue212 (83.1%)
Hue217.08°
Saturation (HSL)100%
Lightness41.57%
Dominant channelBlue
Hex per channelR 00 · G 51 · B D4

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Every value on this page was computed from “0051d4” 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 /51d4.