File:NHC-Cumulative-Wand-Charging-Odds.png

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NHC-Cumulative-Wand-Charging-Odds.png(546 × 478 pixels, file size: 6 KB, MIME type: image/png)

Summary

Chart showing the cumulative probability of a wand surviving repeated chargings. Created using polynominal interpolation of the following expressions:

x / y
0 = 0
1 = 1-((1^3)/343)
2 = (1-(1/343)) * (1-((2^3)/343))
3 = ((1-(1/343)) * (1-((2^3)/343))) * (1-((3^3)/343)
4 = (((1-(1/343)) * (1-((2^3)/343))) * (1-((3^3)/343)) * (1-((4^3)/343))
5 = ((((1-(1/343)) * (1-((2^3)/343))) * (1-((3^3)/343)) * (1-((4^3)/343))) * (1-((5^3)/343))
6 = (((((1-(1/343)) * (1-((2^3)/343))) * (1-((3^3)/343)) * (1-((4^3)/343))) * (1-((5^3)/343))) * (1-((6^3)/343))
7 = 1


Thus, the odds of it exploding, translated to a percentage, then rounded to nine decimal places:

0 = 0            %
1 = 0.29154519   %
2 = 2.617106818  %
3 = 10.282815611 %
4 = 27.023048266 %
5 = 53.618147295 %
6 = 82.826544334 %
7 = 100          %

Licensing

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Public   
  @Domain##
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This file is in the public domain, either officially released into the public domain by the author of the work; being an official work of the government; or being older than the life of the author, plus seventy years.

File history

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Date/TimeThumbnailDimensionsUserComment
current06:33, 3 July 2010Thumbnail for version as of 06:33, 3 July 2010546 × 478 (6 KB)Feagradze (talk | contribs)Chart showing the cumulative probability of a wand surviving repeated chargings.
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