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Dice notation

83d4

  • 83d4
  • 83 to 332
  • mean 207.5

Rolling 83d4 gives a total between 83 and 332, with a mean of 207.5 and a standard deviation of 10.1858. There are 93,536,104,789,177,786,765,035,829,293,842,113,257,979,682,750,464 equally likely ordered outcomes, and the most likely total is 207 or 208 at 3.904%.

The roll

Notation83d4
Dice83
Faces per die4
Minimum total83all 83 dice showing 1
Maximum total332all 83 dice showing 4
Distinct totals250
Mean207.5n(f + 1)/2 + modifier, exact
Variance103.75n(f² − 1)/12, exact
Standard deviation10.18577439≈

Counting the outcomes

Ordered outcomes93,536,104,789,177,786,765,035,829,293,842,113,257,979,682,750,4644^83, every die distinguishable
Most likely total207 and 208two totals share the peak
Chance of that total3.903969%≈
Ways to roll it3,651,620,157,405,318,832,103,080,485,153,567,436,317,135,751,872exact count
Chance of the minimum1.06910588 × 10^-48%≈1 in 93,536,104,789,177,786,765,035,829,293,842,113,257,979,682,750,464
Chance of the maximum1.06910588 × 10^-48%≈1 in 93,536,104,789,177,786,765,035,829,293,842,113,257,979,682,750,464

Shape of the distribution

250 distinct totals, too many to list individually.

1st percentile184≈1.184% of rolls are this or lower
5th percentile191≈5.811% of rolls are this or lower
25th percentile201≈27.819% of rolls are this or lower
50th percentile207≈50% of rolls are this or lower
75th percentile214≈75.374% of rolls are this or lower
95th percentile224≈95.248% of rolls are this or lower
99th percentile231≈99.09% of rolls are this or lower

Chance of rolling at least

108100%≈
145100%≈
20850%≈
2702.08496831 × 10^-8%≈
3071.88446572 × 10^-24%≈

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The same dice, different counts

The same count, different dice

Also reads as

#8833DD (colour)

  • #8833DD
  • Violet
  • Dark
  • Nearest: Blue violet

#8833DD is a violet with RGB values 136, 51, 221 and HSL 270°, 71%, 53%. It is a dark colour, so white text on it reaches 5.9:1 contrast (AA for normal text). The nearest named colour is Blue violet.

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Colour values

#8833DD#8833DD
HEX#8833DD
HEX (short)#83D
RGBrgb(136, 51, 221)
RGB (0–1)0.5333, 0.2, 0.8667
RGB percentages53.3%, 20%, 86.7%
HSLhsl(270, 71.4%, 53.3%)
HSV / HSBhsv(270, 76.9%, 86.7%)
CMYK38.5%, 76.9%, 0%, 13.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer8,926,173
CSS custom property--colour: #8833DD;

Brightness & contrast

Relative luminance0.12822WCAG 2.x, 0 is black and 1 is white
Perceived brightness112.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 5.89:1
Contrast with white5.89:1WCAG normal text: AA
Contrast with black3.56:1WCAG normal text: Fail
Greyscale equivalent#515151
Inverted#77CC22

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#0063E2no red cones; affects about 1% of men; ΔE 39.7 from the original
Deuteranopia#0063DAno green cones; the most common form, about 1% of men; ΔE 43 from the original
Tritanopia#756087no blue cones; rare, and affects men and women equally; ΔE 72.2 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text5.89:1WCAG large text: AAA
Contrast with black, large text3.56:1WCAG large text: AA

Named colours

Blue violet · ΔE 5.4Dark violet · ΔE 11.2Dark orchid · ΔE 11.4Medium blue · ΔE 26.7Medium slateblue · ΔE 27Medium orchid · ΔE 27.3
Nearest named CSS colourBlue violet (#8A2BE2)ΔE 5.43, clearly different but related
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#88DD33
Analogous#3333DD, #DD33DD
Triadic#DD8833, #33DD88
Split complementary#DDDD33, #33DD33
Tetradic#DD3333, #88DD33, #33DDDD

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#EEE2FA
Lighter +30%#D5B6F3
Lighter +20%#BB8AEC
Lighter +10%#A25FE4
Darker −10%#6F20BD
Darker −20%#551892
Darker −30%#3C1166
Darker −40%#220A3A
More saturated +25%#8815FB
Less saturated −25%#8851BF

Channel breakdown

R136
G51
B221
Red136 (53.3%)
Green51 (20%)
Blue221 (86.7%)
Hue270°
Saturation (HSL)71.43%
Lightness53.33%
Dominant channelBlue
Hex per channelR 88 · G 33 · B DD

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Every value on this page was computed from “83d4” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.