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Dice notation

30d6

  • 30d6
  • 30 to 180
  • mean 105
  • mode 105

Rolling 30d6 gives a total between 30 and 180, with a mean of 105 and a standard deviation of 9.3541. There are 221,073,919,720,733,357,899,776 equally likely ordered outcomes, and the most likely total is 105 at 4.242%.

The roll

Notation30d6
Dice30
Faces per die6
Minimum total30all 30 dice showing 1
Maximum total180all 30 dice showing 6
Distinct totals151
Mean105n(f + 1)/2 + modifier, exact
Variance87.5n(f² − 1)/12, exact
Standard deviation9.35414347

Counting the outcomes

Ordered outcomes221,073,919,720,733,357,899,7766^30, every die distinguishable
Most likely total105
Chance of that total4.24229%
Ways to roll it9,378,595,792,117,360,310,832exact count
Chance of the minimum4.52337391 × 10^-22%1 in 221,073,919,720,733,357,899,776
Chance of the maximum4.52337391 × 10^-22%1 in 221,073,919,720,733,357,899,776

Shape of the distribution

151 distinct totals, too many to list individually.

1st percentile831.047% of rolls are this or lower
5th percentile906.067% of rolls are this or lower
25th percentile9927.911% of rolls are this or lower
50th percentile10552.121% of rolls are this or lower
75th percentile11175.556% of rolls are this or lower
95th percentile12095.125% of rolls are this or lower
99th percentile12799.221% of rolls are this or lower

Chance of rolling at least

45100%
6899.9981%
10552.1211%
1430.0019%
1651.53121791 × 10^-10%

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The same dice, different counts

The same count, different dice

Also reads as

#3300DD (colour)

  • #3300DD
  • Blue
  • Dark
  • Nearest: Medium blue

#3300DD is a blue with RGB values 51, 0, 221 and HSL 254°, 100%, 43%. It is a dark colour, so white text on it reaches 9.6:1 contrast (AAA for normal text). The nearest named colour is Medium blue.

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Colour values

#3300DD#3300DD
HEX#3300DD
HEX (short)#30D
RGBrgb(51, 0, 221)
RGB (0–1)0.2, 0, 0.8667
RGB percentages20%, 0%, 86.7%
HSLhsl(253.8, 100%, 43.3%)
HSV / HSBhsv(253.8, 100%, 86.7%)
CMYK76.9%, 100%, 0%, 13.3%naive device-independent conversion; real print needs an ICC profile
24-bit integer3,342,557
CSS custom property--colour: #3300DD;

Brightness & contrast

Relative luminance0.05924WCAG 2.x, 0 is black and 1 is white
Perceived brightness79.7 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.61:1
Contrast with white9.61:1WCAG normal text: AAA
Contrast with black2.18:1WCAG normal text: Fail
Greyscale equivalent#1B1B1B
Inverted#CCFF22

Colour vision & accessibility

Protanopia#004EE2no red cones; affects about 1% of men; ΔE 36.6 from the original
Deuteranopia#003BDAno green cones; the most common form, about 1% of men; ΔE 26.1 from the original
Tritanopia#005B81no blue cones; rare, and affects men and women equally; ΔE 103.9 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.61:1WCAG large text: AAA
Contrast with black, large text2.18:1WCAG large text: Fail

Named colours

Nearest named CSS colourMedium blue (#0000CD)ΔE 6.58, clearly different but related
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#AADD00
Analogous#003CDD, #A100DD
Triadic#DD3300, #00DD33
Split complementary#DDA100, #3CDD00
Tetradic#DD003C, #AADD00, #00DDA1

Tints, shades & saturation

Lighter +40%#BEAAFF
Lighter +30%#9677FF
Lighter +20%#6F44FF
Lighter +10%#4811FF
Darker −10%#2700AA
Darker −20%#1B0077
Darker −30%#100044
Darker −40%#040011
More saturated +25%#3300DD
Less saturated −25%#421CC1

Channel breakdown

R51
G0
B221
Red51 (20%)
Green0 (0%)
Blue221 (86.7%)
Hue253.85°
Saturation (HSL)100%
Lightness43.33%
Dominant channelBlue
Hex per channelR 33 · G 00 · B DD

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Every value on this page was computed from “30d6” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.