Image:Birthday paradox.svg

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Birthday_paradox.svg (SVG file, nominally 575 × 291 pixels, file size: 188 KB)

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[edit] Summary

Description

Vectorial version of Image:050329-birthday1.png

Source

self-made

Date

07 Mar 2008

Author

Toobaz

Permission
(Reusing this image)

GFDL


Made with pylab (started with "ipython -pylab"). Here is the code:

 def inv_prob(n):
         if n == 0:
                 return 1
         if n > 365:
                 return 0
         return inv_prob(n-1)*(1-(n-1.)/365)
 
 def probarray():
         arr=[]
         for people in range(364):
                 arr.append(1-inv_prob(people))
         return arr
 
 
 def qrobarray():
         arr=[0]
         for people in range(399):
                 arr.append(1-((1-arr[people])*(1-1./365)))
         return arr
 
 plot(qrobarray())
 plot(probarray())
 text(200,.5,'q(n)', color='blue')
 text(35,.6,'p(n)', color='green')


GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation license, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation license".

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[edit] Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation license, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation license".

Aragonés | العربية | Asturianu | Български | বাংলা | ইমার ঠার/বিষ্ণুপ্রিয়া মণিপুরী | Brezhoneg | Bosanski | Català | Cebuano | Česky | Dansk | Deutsch | Ελληνικά | English | Esperanto | Español | Eesti | Euskara | فارسی | Suomi | Français | Gaeilge | Galego | עברית | Hrvatski | Magyar | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | ភាសាខ្មែរ | 한국어 | Kurdî / كوردی | Latina | Lëtzebuergesch | Lietuvių | Bahasa Melayu | Nnapulitano | Nederlands | ‪Norsk (nynorsk)‬ | ‪Norsk (bokmål)‬ | Occitan | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски / Srpski | Svenska | తెలుగు | ไทย | Türkçe | Українська | اردو | Tiếng Việt | Volapük | Yorùbá | ‪中文(中国大陆)‬ | ‪中文(台灣)‬ | +/-

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File history

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Date/TimeDimensionsUserComment
current02:40, 7 March 2008575×291 (188 KB)Toobaz ({{Information |Description=Vectorial version of Image:050329-birthday1.png |Source=self-made |Date=07 Mar 2008 |Author= Toobaz |Permission= GFDL }} Made with pylab (started with "ipython -pylab). Here is the code: def inv_prob(n): )
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