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File:Birthday paradox.svg

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Original file (SVG file, nominally 575 × 291 pixels, file size: 188 KB)

Summary

Description Vector version of Image:050329-birthday1.png
Date
Source Own work
Author Toobaz
Permission
(Reusing this file)
GFDL
SVG development
InfoField
 
The source code of this SVG is invalid due to an error.
 
This W3C-invalid plot was created with Matplotlib.
Source code
InfoField

Python 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(),'g.')
text(200,.5,'q(n)', color='blue')
text(35,.6,'p(n)', color='green')

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.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International, 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 give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

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depicts

7 March 2008

image/svg+xml

08cfe1f9dbd2c33b4eabd3e57ed288af3ed2cf22

192,151 byte

291 pixel

575 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current02:40, 7 March 2008Thumbnail for version as of 02:40, 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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