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File:Birthday Paradox.svg

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    Summary

    Description
    English: This graph shows the probability that there is at least one pair of people with the same birthday amongst a certain number of people.

    Français : Graphe de la probabilité qu'au moins deux personnes aient le même anniversaire en fonction de la taille du groupe
    Date
    Source Own work
    Author Rajkiran g
    Other versions

    Derivative works of this file:

    File:Birthday_paradox.png
    SVG development
    InfoField
     The SVG code is valid.
     This chart was created with gnuplot.
     This chart uses translateable embedded text.
    Source code
    InfoField

    Gnuplot code

    #!/usr/bin/env gnuplot

set terminal svg size 1280,800 enhanced fsize 24
set output 'birthday-paradox.svg'
set xlabel 'Number of people'
set ylabel 'Probability of a pair'
set arrow from 23,0 to 23,0.5073 nohead
set arrow from 0,0.5073 to 23,0.5073 nohead
set label '23' at 22,-0.025 font ",16"
set grid ytics
plot 'birthday-paradox.dat' u 1:2 notitle with steps lw 2

    Data

    .
   1 0.00000000
   2 0.00273973
   3 0.00820417
   4 0.01635591
   5 0.02713557
   6 0.04046248
   7 0.05623570
   8 0.07433529
   9 0.09462383
  10 0.11694818
  11 0.14114138
  12 0.16702479
  13 0.19441028
  14 0.22310251
  15 0.25290132
  16 0.28360401
  17 0.31500767
  18 0.34691142
  19 0.37911853
  20 0.41143838
  21 0.44368834
  22 0.47569531
  23 0.50729723
  24 0.53834426
  25 0.56869970
  26 0.59824082
  27 0.62685928
  28 0.65446147
  29 0.68096854
  30 0.70631624
  31 0.73045463
  32 0.75334753
  33 0.77497185
  34 0.79531686
  35 0.81438324
  36 0.83218211
  37 0.84873401
  38 0.86406782
  39 0.87821966
  40 0.89123181
  41 0.90315161
  42 0.91403047
  43 0.92392286
  44 0.93288537
  45 0.94097590
  46 0.94825284
  47 0.95477440
  48 0.96059797
  49 0.96577961
  50 0.97037358
  51 0.97443199
  52 0.97800451
  53 0.98113811
  54 0.98387696
  55 0.98626229
  56 0.98833235
  57 0.99012246
  58 0.99166498
  59 0.99298945
  60 0.99412266
  61 0.99508880
  62 0.99590957
  63 0.99660439
  64 0.99719048
  65 0.99768311
  66 0.99809570
  67 0.99844004
  68 0.99872639
  69 0.99896367
  70 0.99915958
  71 0.99932075
  72 0.99945288
  73 0.99956081
  74 0.99964864
  75 0.99971988
  76 0.99977744
  77 0.99982378
  78 0.99986095
  79 0.99989067
  80 0.99991433
  81 0.99993311
  82 0.99994795
  83 0.99995965
  84 0.99996882
  85 0.99997600
  86 0.99998159
  87 0.99998593
  88 0.99998928
  89 0.99999186
  90 0.99999385
  91 0.99999537
  92 0.99999652
  93 0.99999740
  94 0.99999806
  95 0.99999856
  96 0.99999893
  97 0.99999922
  98 0.99999942
  99 0.99999958
 100 0.99999969

    Licensing

    I, the copyright holder of this work, hereby publish it under the following licenses:
    w:en:Creative Commons
    attribution share alike
    This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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.
    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.
    You may select the license of your choice.

    Captions

    The probability that there is at least one pair of people with the same birthday amongst a certain number of people.

    Items portrayed in this file

    depicts

    inception

    2 July 2010

    media type

    image/svg+xml

    checksum

    8f5c8c9d3530f7f9bb11276c1ec6e3e804a07975

    determination method or standard: SHA-1

    data size

    19,477 byte

    height

    830 pixel

    width

    1,289 pixel

    File history

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

    Date/TimeThumbnailDimensionsUserComment
    current15:00, 3 August 2023Thumbnail for version as of 15:00, 3 August 20231,289 × 830 (19 KB)מקףhttps://svgworkaroundbot.toolforge.org/
    14:51, 3 August 2023Thumbnail for version as of 14:51, 3 August 20231,289 × 830 (21 KB)מקףFile uploaded using svgtranslate tool (https://svgtranslate.toolforge.org/). Added translation for he.
    21:13, 26 April 2013Thumbnail for version as of 21:13, 26 April 20131,289 × 830 (24 KB)DcoetzeeIncrease font sizes to make it more useful at thumbnail size (all changes released under CC0)
    17:39, 2 July 2010Thumbnail for version as of 17:39, 2 July 20101,280 × 800 (14 KB)Rajkiran g{{Information |Description={{en|1=This graph shows the probability that there is at least one pair of people with the same birthday amongst a certain number of people.}} |Source={{own}} |Author=Rajkiran g |Date=2010-07-02 |Permission=

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