Dice notation
40d7
- 40d7
- 40 to 280
- mean 160
- mode 160
Rolling 40d7 gives a total between 40 and 280, with a mean of 160 and a standard deviation of 12.6491. There are 6,366,805,760,909,027,985,741,435,139,224,001 equally likely ordered outcomes, and the most likely total is 160 at 3.142%.
The roll
Notation40d7
Dice40
Faces per die7
Minimum total40all 40 dice showing 1
Maximum total280all 40 dice showing 7
Distinct totals241
Mean160n(f + 1)/2 + modifier, exact
Variance160n(f² − 1)/12, exact
Standard deviation12.64911064≈
Counting the outcomes
Ordered outcomes6,366,805,760,909,027,985,741,435,139,224,0017^40, every die distinguishable
Most likely total160
Chance of that total3.141577%≈
Ways to roll it200,018,125,733,654,567,755,310,652,383,117exact count
Chance of the minimum1.57064631 × 10^-32%≈1 in 6,366,805,760,909,027,985,741,435,139,224,001
Chance of the maximum1.57064631 × 10^-32%≈1 in 6,366,805,760,909,027,985,741,435,139,224,001
Shape of the distribution
241 distinct totals, too many to list individually.
1st percentile131≈1.191% of rolls are this or lower
5th percentile139≈5.259% of rolls are this or lower
25th percentile151≈25.146% of rolls are this or lower
50th percentile160≈51.571% of rolls are this or lower
75th percentile169≈77.302% of rolls are this or lower
95th percentile181≈95.543% of rolls are this or lower
99th percentile189≈99.037% of rolls are this or lower
Chance of rolling at least
64100%≈
100100%≈
16051.5708%≈
2200.0001%≈
2563.84920269 × 10^-15%≈
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Also reads as
#4400DD (colour)
- #4400DD
- Violet
- Dark
- Nearest: Medium blue
#4400DD is a violet with RGB values 68, 0, 221 and HSL 258°, 100%, 43%. It is a dark colour, so white text on it reaches 9.2:1 contrast (AAA for normal text). The nearest named colour is Medium blue.
Colour values
#4400DD#4400DD
HEX#4400DD
HEX (short)#40D
RGBrgb(68, 0, 221)
RGB (0–1)0.2667, 0, 0.8667
RGB percentages26.7%, 0%, 86.7%
HSLhsl(258.5, 100%, 43.3%)
HSV / HSBhsv(258.5, 100%, 86.7%)
CMYK69.2%, 100%, 0%, 13.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer4,456,669
CSS custom property--colour: #4400DD;
Brightness & contrast
Relative luminance0.06449WCAG 2.x, 0 is black and 1 is white
Perceived brightness83.4 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 9.17:1
Contrast with white9.17:1WCAG normal text: AAA
Contrast with black2.29:1WCAG normal text: Fail
Greyscale equivalent#1E1E1E
Inverted#BBFF22
Colour vision & accessibility
Distinguishable without hueShifts in lightness toonever rely on hue alone to carry meaning
Contrast with white, large text9.17:1WCAG large text: AAA
Contrast with black, large text2.29:1WCAG large text: Fail
Named colours
Hue familyviolet
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#99DD00
Analogous#002BDD, #B200DD
Triadic#DD4400, #00DD44
Split complementary#DDB300, #2BDD00
Tetradic#DD002B, #99DD00, #00DDB2
Tints, shades & saturation
Channel breakdown
R68
G0
B221
Red68 (26.7%)
Green0 (0%)
Blue221 (86.7%)
Hue258.46°
Saturation (HSL)100%
Lightness43.33%
Dominant channelBlue
Hex per channelR 44 · G 00 · B DD
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Harmonies
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