File:Birthday paradox.svg

[edit] Summary

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')

[edit] Licensing

I, the copyright holder of this work, hereby publish it under the following licenses: 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. www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported, 2.5 Generic, 2.0 Generic and 1.0 Generic license. You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work). share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one. www.creativecommons.org/licenses/by-sa/3.0 CC-BY-SA-3.0-2.5-2.0-1.0 Creative Commons Attribution-Share Alike 3.0-2.5-2.0-1.0 truetrue You may select the license of your choice.

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Thumbnail	Dimensions	User	Comment
current	02:40, 7 March 2008		575 × 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): )

• Birthday problem

The following other wikis use this file:

• Usage on de.wikipedia.org
  • Geburtstagsparadoxon
  • Benutzer:Pardox/Spielwiese
• Usage on el.wikipedia.org
  • Παράδοξο των γενεθλίων
• Usage on lt.wikipedia.org
  • Gimimo dienų paradoksas
• Usage on nl.wikipedia.org
  • Verjaardagenparadox
• Usage on ru.wikipedia.org
  • Парадокс дней рождения
• Usage on zh.wikipedia.org
  • 生日問題