{"id":219,"date":"2008-04-20T08:32:16","date_gmt":"2008-04-20T07:32:16","guid":{"rendered":"http:\/\/lendl.priv.at\/blog\/2008\/04\/20\/fun-with-conditional-probabilities\/"},"modified":"2026-01-26T12:16:55","modified_gmt":"2026-01-26T11:16:55","slug":"fun-with-conditional-probabilities","status":"publish","type":"post","link":"https:\/\/lendl.priv.at\/blog\/2008\/04\/20\/fun-with-conditional-probabilities\/","title":{"rendered":"Fun with conditional probabilities"},"content":{"rendered":"<p>Yes, mathematics is sometimes hard to understand. Probability theory is a prime candidate where &#8220;common sense&#8221; might mislead you. And once you venture into conditional probabilities (&#8220;given A is true, what&#8217;s the probability of B being true as well?&#8221;) things get tricky.<\/p>\n<p>A good example is the following statement: &#8220;The orbit of our earth so incredibly fine tuned to the requirements of intelligent life, that this is a strong indication that a higher being was involved.&#8221;<\/p>\n<p>This may sound reasonable at first glance, but it&#8217;s completely wrong. Let me rephrase the statement to make this clear:<\/p>\n<p>&#8220;What is the probability that the environment here on earth is suitable for the development of life, given the fact that this question is asked by a person whose species evolved here on this planet?&#8221;<\/p>\n<p>The answer is 1 (100% probable).<\/p>\n<p>Or in other words, if the environment here on earth were hostile to us, we wouldn&#8217;t be here to ask this question. And indeed, there are billions of planets, where nobody is asking this question.<\/p>\n<p>So no, these considerations do not provide an argument regarding the existence of god.<\/p>\n<p>(Btw, the same reasoning applies to arguments concerning the fundamental constants of this universe. In that case, you <em>just<\/em> need to assume an infinite number of universes with varying parameters, as a number of physicists postulate.)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Yes, mathematics is sometimes hard to understand. Probability theory is a prime candidate where &#8220;common sense&#8221; might mislead you. And once you venture into conditional probabilities (&#8220;given A is true, what&#8217;s the probability of B being true as well?&#8221;) things get tricky. A good example is the following statement: &#8220;The orbit of our earth so [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-219","post","type-post","status-publish","format-standard","hentry","category-pet-peeves"],"_links":{"self":[{"href":"https:\/\/lendl.priv.at\/blog\/wp-json\/wp\/v2\/posts\/219","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lendl.priv.at\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lendl.priv.at\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lendl.priv.at\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lendl.priv.at\/blog\/wp-json\/wp\/v2\/comments?post=219"}],"version-history":[{"count":1,"href":"https:\/\/lendl.priv.at\/blog\/wp-json\/wp\/v2\/posts\/219\/revisions"}],"predecessor-version":[{"id":1051,"href":"https:\/\/lendl.priv.at\/blog\/wp-json\/wp\/v2\/posts\/219\/revisions\/1051"}],"wp:attachment":[{"href":"https:\/\/lendl.priv.at\/blog\/wp-json\/wp\/v2\/media?parent=219"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lendl.priv.at\/blog\/wp-json\/wp\/v2\/categories?post=219"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lendl.priv.at\/blog\/wp-json\/wp\/v2\/tags?post=219"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}