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Dice notation

90d6

  • 90d6
  • 90 to 540
  • mean 315
  • mode 315

Rolling 90d6 gives a total between 90 and 540, with a mean of 315 and a standard deviation of 16.2019. There are 10,804,695,562,359,870,518,299,193,703,899,148,848,724,015,728,610,899,282,651,377,959,960,576 equally likely ordered outcomes, and the most likely total is 315 at 2.458%.

The roll

Notation90d6
Dice90
Faces per die6
Minimum total90all 90 dice showing 1
Maximum total540all 90 dice showing 6
Distinct totals451
Mean315n(f + 1)/2 + modifier, exact
Variance262.5n(f² − 1)/12, exact
Standard deviation16.20185175≈

Counting the outcomes

Ordered outcomes10,804,695,562,359,870,518,299,193,703,899,148,848,724,015,728,610,899,282,651,377,959,960,5766^90, every die distinguishable
Most likely total315
Chance of that total2.457984%≈
Ways to roll it265,577,709,452,545,287,170,985,883,604,076,060,450,741,153,193,382,605,602,652,676,904,684exact count
Chance of the minimum9.25523532 × 10^-69%≈1 in 10,804,695,562,359,870,518,299,193,703,899,148,848,724,015,728,610,899,282,651,377,959,960,576
Chance of the maximum9.25523532 × 10^-69%≈1 in 10,804,695,562,359,870,518,299,193,703,899,148,848,724,015,728,610,899,282,651,377,959,960,576

Shape of the distribution

451 distinct totals, too many to list individually.

1st percentile277≈1.022% of rolls are this or lower
5th percentile288≈5.097% of rolls are this or lower
25th percentile304≈25.875% of rolls are this or lower
50th percentile315≈51.229% of rolls are this or lower
75th percentile326≈76.08% of rolls are this or lower
95th percentile342≈95.52% of rolls are this or lower
99th percentile353≈99.135% of rolls are this or lower

Chance of rolling at least

135100%≈
203100%≈
31551.229%≈
4284.25430256 × 10^-11%≈
4951.26783247 × 10^-32%≈

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The same dice, different counts

The same count, different dice

Also reads as

#9900DD (colour)

  • #9900DD
  • Violet
  • Dark
  • Nearest: Dark violet

#9900DD is a violet with RGB values 153, 0, 221 and HSL 282°, 100%, 43%. It is a dark colour, so white text on it reaches 6.2:1 contrast (AA for normal text). The nearest named colour is Dark violet.

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Colour values

#9900DD#9900DD
HEX#9900DD
HEX (short)#90D
RGBrgb(153, 0, 221)
RGB (0–1)0.6, 0, 0.8667
RGB percentages60%, 0%, 86.7%
HSLhsl(281.5, 100%, 43.3%)
HSV / HSBhsv(281.5, 100%, 86.7%)
CMYK30.8%, 100%, 0%, 13.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer10,027,229
CSS custom property--colour: #9900DD;

Brightness & contrast

Relative luminance0.11993WCAG 2.x, 0 is black and 1 is white
Perceived brightness112.1 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 6.18:1
Contrast with white6.18:1WCAG normal text: AA
Contrast with black3.4:1WCAG normal text: Fail
Greyscale equivalent#303030
Inverted#66FF22

Colour vision & accessibility

Normal visionProtanopiaDeuteranopiaTritanopia
Protanopia#005CE2no red cones; affects about 1% of men; ΔE 48.3 from the original
Deuteranopia#0063D9no green cones; the most common form, about 1% of men; ΔE 56.8 from the original
Tritanopia#8E5181no blue cones; rare, and affects men and women equally; ΔE 73.5 from the original
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text6.18:1WCAG large text: AAA
Contrast with black, large text3.4:1WCAG large text: AA

Named colours

Dark violet · ΔE 4.2Blue violet · ΔE 9.1Dark orchid · ΔE 19.2Medium blue · ΔE 26.9Fuchsia · ΔE 30.1Magenta · ΔE 30.1
Nearest named CSS colourDark violet (#9400D3)ΔE 4.24, a close match
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

base+30°+90°+120°+180°+210°+240°+270°+330°
Complementary#44DD00
Analogous#2B00DD, #DD00B2
Triadic#DD9900, #00DD99
Split complementary#B2DD00, #00DD2B
Tetradic#DD2B00, #44DD00, #00B2DD

Tints, shades & saturation

+40%+30%+20%+10%base-10%-20%-30%-40%
Lighter +40%#E5AAFF
Lighter +30%#D577FF
Lighter +20%#C544FF
Lighter +10%#B611FF
Darker −10%#7600AA
Darker −20%#520077
Darker −30%#2F0044
Darker −40%#0C0011
More saturated +25%#9900DD
Less saturated −25%#8E1CC1

Channel breakdown

R153
G0
B221
Red153 (60%)
Green0 (0%)
Blue221 (86.7%)
Hue281.54°
Saturation (HSL)100%
Lightness43.33%
Dominant channelBlue
Hex per channelR 99 · G 00 · B DD

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Every value on this page was computed from “90d6” by Nerdulator’s games engine. Nothing here was retrieved from a database of answers or written by a model.