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Dice notation

33d61

  • 33d61
  • 33 to 2013
  • mean 1,023
  • mode 1023

Rolling 33d61 gives a total between 33 and 2,013, with a mean of 1,023 and a standard deviation of 101.1435. There are 82,391,907,081,252,241,482,446,054,994,858,845,541,258,598,700,475,465,198,781 equally likely ordered outcomes, and the most likely total is 1,023 at 0.393%.

The canonical address for this page is /33d61.

The roll

Notation33d61
Dice33
Faces per die61
Minimum total33all 33 dice showing 1
Maximum total2,013all 33 dice showing 61
Distinct totals1,981
Mean1,023n(f + 1)/2 + modifier, exact
Variance10,230n(f² − 1)/12, exact
Standard deviation101.14346247≈

Counting the outcomes

Ordered outcomes82,391,907,081,252,241,482,446,054,994,858,845,541,258,598,700,475,465,198,78161^33, every die distinguishable
Most likely total1,023
Chance of that total0.392634%≈
Ways to roll it323,498,774,690,493,231,600,139,962,619,628,677,105,821,717,223,872,542,701exact count
Chance of the minimum1.21371144 × 10^-57%≈1 in 82,391,907,081,252,241,482,446,054,994,858,845,541,258,598,700,475,465,198,781
Chance of the maximum1.21371144 × 10^-57%≈1 in 82,391,907,081,252,241,482,446,054,994,858,845,541,258,598,700,475,465,198,781

Shape of the distribution

1,981 distinct totals, too many to list individually.

1st percentile789≈1.025% of rolls are this or lower
5th percentile857≈5.097% of rolls are this or lower
25th percentile955≈25.31% of rolls are this or lower
50th percentile1,023≈50.196% of rolls are this or lower
75th percentile1,091≈75.005% of rolls are this or lower
95th percentile1,189≈95.006% of rolls are this or lower
99th percentile1,257≈99.002% of rolls are this or lower

Chance of rolling at least

231100%≈
528100%≈
1,02350.1963%≈
1,5180%≈
1,8151.26354105 × 10^-17%≈

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The same dice, different counts

The same count, different dice

Also reads as

#033D61 (colour)

  • #033D61
  • Blue
  • Dark
  • Nearest: Dark slate grey

#033D61 is a blue with RGB values 3, 61, 97 and HSL 203°, 94%, 20%. It is a dark colour, so white text on it reaches 11.4:1 contrast (AAA for normal text). The nearest named colour is Dark slate grey.

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Colour values

#033D61#033D61
HEX#033D61
RGBrgb(3, 61, 97)
RGB (0–1)0.0118, 0.2392, 0.3804
RGB percentages1.2%, 23.9%, 38%
HSLhsl(203, 94%, 19.6%)
HSV / HSBhsv(203, 96.9%, 38%)
CMYK96.9%, 37.1%, 0%, 62%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer212,321
CSS custom property--colour: #033D61;

Brightness & contrast

Relative luminance0.0422WCAG 2.x, 0 is black and 1 is white
Perceived brightness57.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 11.39:1
Contrast with white11.39:1WCAG normal text: AAA
Contrast with black1.84:1WCAG normal text: Fail
Greyscale equivalent#333333
Inverted#FCC29E

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#2C3E63no red cones; affects about 1% of men; ΔE 7.5 from the original
Deuteranopia#1E3660no green cones; the most common form, about 1% of men; ΔE 8.4 from the original
Tritanopia#00464Ano blue cones; rare, and affects men and women equally; ΔE 23.8 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text11.39:1WCAG large text: AAA
Contrast with black, large text1.84:1WCAG large text: Fail

Named colours

Dark slate grey · ΔE 25.2Steel blue · ΔE 28.8Slate grey · ΔE 32.4Dim grey · ΔE 32.9Dark slateblue · ΔE 33.1Light slate grey · ΔE 34.9
Nearest named CSS colourDark slate grey (#2F4F4F)ΔE 25.23, a distinctly different colour
Hue familyblue
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#612703
Analogous#036156, #030E61
Triadic#61033D, #3D6103
Split complementary#61030E, #615603
Tetradic#560361, #612703, #0E6103

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#37AFF9
Lighter +30%#089AF5
Lighter +20%#067BC4
Lighter +10%#055C92
Darker −10%#011E30
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#003E64
Less saturated −25%#103A55

Channel breakdown

R3
G61
B97
Red3 (1.2%)
Green61 (23.9%)
Blue97 (38%)
Hue202.98°
Saturation (HSL)94%
Lightness19.61%
Dominant channelBlue
Hex per channelR 03 · G 3D · B 61

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