{"id":136,"date":"2018-12-20T09:48:17","date_gmt":"2018-12-20T09:48:17","guid":{"rendered":"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=136"},"modified":"2018-12-20T10:12:52","modified_gmt":"2018-12-20T10:12:52","slug":"kolmogorovs-zero-one-law","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/chapter\/kolmogorovs-zero-one-law\/","title":{"rendered":"Kolmogorov\u2019s Zero-One Law"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/dNjUBrzWQtw\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n<img class=\"aligncenter size-full wp-image-138\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-1.jpg\" alt=\"\" width=\"1261\" height=\"1387\" \/> <img class=\"aligncenter size-full wp-image-139\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-2.jpg\" alt=\"\" width=\"1289\" height=\"1599\" \/> <img class=\"aligncenter size-full wp-image-140\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-3.jpg\" alt=\"\" width=\"1329\" height=\"1613\" \/> <img class=\"aligncenter size-full wp-image-141\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-4.jpg\" alt=\"\" width=\"1251\" height=\"239\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Kolmogorov's Zero-One Law<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/dNjUBrzWQtw\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"aligncenter size-full wp-image-146\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235199KolmogorovsZero-OneLaw_Ref-1.jpg\" alt=\"\" width=\"1187\" height=\"753\" \/>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/dNjUBrzWQtw\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-138\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-1.jpg\" alt=\"\" width=\"1261\" height=\"1387\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-1.jpg 1261w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-1-273x300.jpg 273w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-1-768x845.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-1-931x1024.jpg 931w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-1-65x71.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-1-225x247.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-1-350x385.jpg 350w\" sizes=\"auto, (max-width: 1261px) 100vw, 1261px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-139\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-2.jpg\" alt=\"\" width=\"1289\" height=\"1599\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-2.jpg 1289w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-2-242x300.jpg 242w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-2-768x953.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-2-825x1024.jpg 825w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-2-65x81.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-2-225x279.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-2-350x434.jpg 350w\" sizes=\"auto, (max-width: 1289px) 100vw, 1289px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-140\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-3.jpg\" alt=\"\" width=\"1329\" height=\"1613\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-3.jpg 1329w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-3-247x300.jpg 247w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-3-768x932.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-3-844x1024.jpg 844w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-3-65x79.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-3-225x273.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-3-350x425.jpg 350w\" sizes=\"auto, (max-width: 1329px) 100vw, 1329px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-141\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-4.jpg\" alt=\"\" width=\"1251\" height=\"239\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-4.jpg 1251w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-4-300x57.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-4-768x147.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-4-1024x196.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-4-65x12.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-4-225x43.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235191KolmogorovsZero-OneLaw-4-350x67.jpg 350w\" sizes=\"auto, (max-width: 1251px) 100vw, 1251px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Kolmogorov&#8217;s Zero-One Law<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/dNjUBrzWQtw\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-146\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235199KolmogorovsZero-OneLaw_Ref-1.jpg\" alt=\"\" width=\"1187\" height=\"753\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235199KolmogorovsZero-OneLaw_Ref-1.jpg 1187w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235199KolmogorovsZero-OneLaw_Ref-1-300x190.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235199KolmogorovsZero-OneLaw_Ref-1-768x487.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235199KolmogorovsZero-OneLaw_Ref-1-1024x650.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235199KolmogorovsZero-OneLaw_Ref-1-65x41.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235199KolmogorovsZero-OneLaw_Ref-1-225x143.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522235199KolmogorovsZero-OneLaw_Ref-1-350x222.jpg 350w\" sizes=\"auto, (max-width: 1187px) 100vw, 1187px\" 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