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Dice notation

33d100

  • 33d100
  • 33 to 3300
  • mean 1,666.5

Rolling 33d100 gives a total between 33 and 3,300, with a mean of 1,666.5 and a standard deviation of 165.8229. There are 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 1,666 or 1,667 at 0.239%.

The roll

Notation33d100
Dice33
Faces per die100
Minimum total33all 33 dice showing 1
Maximum total3,300all 33 dice showing 100
Distinct totals3,268
Mean1,666.5n(f + 1)/2 + modifier, exact
Variance27,497.25n(f² − 1)/12, exact
Standard deviation165.82294775≈

Counting the outcomes

Ordered outcomes1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000100^33, every die distinguishable
Most likely total1,666 and 1,667two totals share the peak
Chance of that total0.239486%≈
Ways to roll it2,394,859,252,820,369,921,080,132,652,333,903,022,961,561,160,441,504,607,552,195,000exact count
Chance of the minimum1 × 10^-64%≈1 in 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Chance of the maximum1 × 10^-64%≈1 in 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Shape of the distribution

3,268 distinct totals, too many to list individually.

1st percentile1,282≈1.006% of rolls are this or lower
5th percentile1,394≈5.055% of rolls are this or lower
25th percentile1,554≈25.054% of rolls are this or lower
50th percentile1,666≈50% of rolls are this or lower
75th percentile1,779≈75.137% of rolls are this or lower
95th percentile1,939≈95.008% of rolls are this or lower
99th percentile2,051≈99.011% of rolls are this or lower

Chance of rolling at least

360100%≈
850100%≈
1,66750%≈
2,4830%≈
2,9735.78202016 × 10^-18%≈

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The same dice, different counts

The same count, different dice

Also reads as

#33D100 (colour)

  • #33D100
  • Green
  • Dark
  • Nearest: Limegreen

#33D100 is a green with RGB values 51, 209, 0 and HSL 105°, 100%, 41%. It is a dark colour, so black text on it reaches 10.3:1 contrast (AAA for normal text). The nearest named colour is Limegreen.

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Colour values

#33D100#33D100
HEX#33D100
RGBrgb(51, 209, 0)
RGB (0–1)0.2, 0.8196, 0
RGB percentages20%, 82%, 0%
HSLhsl(105.4, 100%, 41%)
HSV / HSBhsv(105.4, 100%, 82%)
CMYK75.6%, 0%, 100%, 18%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer3,395,840
CSS custom property--colour: #33D100;

Brightness & contrast

Relative luminance0.46305WCAG 2.x, 0 is black and 1 is white
Perceived brightness162.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundBlackcontrast 10.26:1
Contrast with white2.05:1WCAG normal text: Fail
Contrast with black10.26:1WCAG normal text: AAA
Greyscale equivalent#A0A0A0
Inverted#CC2EFF

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#D7BC00no red cones; affects about 1% of men; ΔE 65 from the original
Deuteranopia#C5B12Eno green cones; the most common form, about 1% of men; ΔE 64 from the original
Tritanopia#00CAB1no blue cones; rare, and affects men and women equally; ΔE 75 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text2.05:1WCAG large text: Fail
Contrast with black, large text10.26:1WCAG large text: AAA

Named colours

Limegreen · ΔE 11.2Lawn green · ΔE 19.9Chartreuse · ΔE 21.2Lime · ΔE 24Green yellow · ΔE 27.1Spring green · ΔE 29.9
Nearest named CSS colourLimegreen (#32CD32)ΔE 11.17, a distinctly different colour
Hue familygreen
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#9E00D1
Analogous#9CD100, #00D135
Triadic#0033D1, #D10033
Split complementary#3500D1, #D1009C
Tetradic#009CD1, #9E00D1, #D13500

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#B6FF9E
Lighter +30%#8FFF6B
Lighter +20%#69FF38
Lighter +10%#42FF05
Darker −10%#279E00
Darker −20%#1A6B00
Darker −30%#0E3800
Darker −40%#010500
More saturated +25%#33D100
Less saturated −25%#40B71A

Channel breakdown

R51
G209
B0
Red51 (20%)
Green209 (82%)
Blue0 (0%)
Hue105.36°
Saturation (HSL)100%
Lightness40.98%
Dominant channelGreen
Hex per channelR 33 · G D1 · B 00

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Every value on this page was computed from “33d100” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.