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Dice notation

90d33

  • 90d33
  • 90 to 2970
  • mean 1,530
  • mode 1530

Rolling 90d33 gives a total between 90 and 2,970, with a mean of 1,530 and a standard deviation of 90.3327. There are 46,371,867,792,637,960,640,613,656,556,670,936,409,522,467,277,366,683,975,415,923,475,311,139,087,985,423,659,377,159,879,590,974,656,576,222,350,102,112,237,561,822,445,812,490,049 equally likely ordered outcomes, and the most likely total is 1,530 at 0.441%.

The canonical address for this page is /90d33.

The roll

Notation90d33
Dice90
Faces per die33
Minimum total90all 90 dice showing 1
Maximum total2,970all 90 dice showing 33
Distinct totals2,881
Mean1,530n(f + 1)/2 + modifier, exact
Variance8,160n(f² − 1)/12, exact
Standard deviation90.33271833≈

Counting the outcomes

Ordered outcomes46,371,867,792,637,960,640,613,656,556,670,936,409,522,467,277,366,683,975,415,923,475,311,139,087,985,423,659,377,159,879,590,974,656,576,222,350,102,112,237,561,822,445,812,490,04933^90, every die distinguishable
Most likely total1,530
Chance of that total0.440898%≈
Ways to roll it204,452,865,240,541,397,891,112,953,391,055,512,713,034,450,801,241,185,698,527,613,295,473,617,904,822,125,853,447,556,998,736,965,036,490,083,113,942,925,215,362,999,053,962,437exact count
Chance of the minimum2.15647988 × 10^-135%≈1 in 46,371,867,792,637,960,640,613,656,556,670,936,409,522,467,277,366,683,975,415,923,475,311,139,087,985,423,659,377,159,879,590,974,656,576,222,350,102,112,237,561,822,445,812,490,049
Chance of the maximum2.15647988 × 10^-135%≈1 in 46,371,867,792,637,960,640,613,656,556,670,936,409,522,467,277,366,683,975,415,923,475,311,139,087,985,423,659,377,159,879,590,974,656,576,222,350,102,112,237,561,822,445,812,490,049

Shape of the distribution

2,881 distinct totals, too many to list individually.

1st percentile1,320≈1.011% of rolls are this or lower
5th percentile1,381≈5.012% of rolls are this or lower
25th percentile1,469≈25.181% of rolls are this or lower
50th percentile1,530≈50.22% of rolls are this or lower
75th percentile1,591≈75.17% of rolls are this or lower
95th percentile1,679≈95.101% of rolls are this or lower
99th percentile1,740≈99.019% of rolls are this or lower

Chance of rolling at least

378100%≈
810100%≈
1,53050.2204%≈
2,2506.38410836 × 10^-15%≈
2,6821.31244381 × 10^-46%≈

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The same dice, different counts

The same count, different dice

Also reads as

#090D33 (colour)

  • #090D33
  • Blue
  • Dark
  • Nearest: Black

#090D33 is a blue with RGB values 9, 13, 51 and HSL 234°, 70%, 12%. It is a dark colour, so white text on it reaches 18.8:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#090D33#090D33
HEX#090D33
RGBrgb(9, 13, 51)
RGB (0–1)0.0353, 0.051, 0.2
RGB percentages3.5%, 5.1%, 20%
HSLhsl(234.3, 70%, 11.8%)
HSV / HSBhsv(234.3, 82.4%, 20%)
CMYK82.4%, 74.5%, 0%, 80%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer593,203
CSS custom property--colour: #090D33;

Brightness & contrast

Relative luminance0.00585WCAG 2.x, 0 is black and 1 is white
Perceived brightness20.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.8:1
Contrast with white18.8:1WCAG normal text: AAA
Contrast with black1.12:1WCAG normal text: Fail
Greyscale equivalent#0F0F0F
Inverted#F6F2CC

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#001434no red cones; affects about 1% of men; ΔE 6.1 from the original
Deuteranopia#001032no green cones; the most common form, about 1% of men; ΔE 4.5 from the original
Tritanopia#00171Eno blue cones; rare, and affects men and women equally; ΔE 24.8 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.8:1WCAG large text: AAA
Contrast with black, large text1.12:1WCAG large text: Fail

Named colours

Black · ΔE 28.3Midnight blue · ΔE 33.1Dark slateblue · ΔE 33.7Dark slate grey · ΔE 41.2Rebecca purple · ΔE 46.8Dim grey · ΔE 48
Nearest named CSS colourBlack (#000000)ΔE 28.34, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#332F09
Analogous#092233, #1A0933
Triadic#33090D, #0D3309
Split complementary#331A09, #223309
Tetradic#330922, #332F09, #09331A

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#2E3EDA
Lighter +30%#202EB5
Lighter +20%#18238A
Lighter +10%#11185E
Darker −10%#010208
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#02073A
Less saturated −25%#10132B

Channel breakdown

R9
G13
B51
Red9 (3.5%)
Green13 (5.1%)
Blue51 (20%)
Hue234.29°
Saturation (HSL)70%
Lightness11.76%
Dominant channelBlue
Hex per channelR 09 · G 0D · B 33

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Every value on this page was computed from “090d33” 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 /90d33.