{"id":2571,"date":"2011-11-07T17:00:48","date_gmt":"2011-11-07T22:00:48","guid":{"rendered":"http:\/\/www.manhattanprep.com\/gre\/blog\/?p=2571"},"modified":"2019-08-30T16:49:11","modified_gmt":"2019-08-30T16:49:11","slug":"the-best-statistics-question-ever","status":"publish","type":"post","link":"https:\/\/www.manhattanprep.com\/gre\/blog\/the-best-statistics-question-ever\/","title":{"rendered":"The Best Statistics Question EVER"},"content":{"rendered":"<p><img decoding=\"async\" src=\"\/\/www.jenniferdziura.com\/dev\/wp-content\/uploads\/sites\/19\/2011\/11\/Best-Math-Question-EVAR-625x352.jpeg\" alt=\"\" title=\"Best-Math-Question-EVAR-625x352\" width=\"550\" class=\"alignnone size-full wp-image-5001\" \/><\/p>\n<p><i>Via <a href=\"\/\/flowingdata.com\/2011\/10\/28\/best-statistics-question-ever\/\">Flowingdata<\/a> via <a href=\"https:\/\/plus.google.com\/116264189418994838408\/posts\/CSXeyftovTJ\">Raymond Johnson<\/a>, credit to <a href=\"https:\/\/plus.google.com\/113286603785157274727\/posts\">Ryan Grover<\/a>.<\/i><\/p>\n<p>If a multiple choice question has four answers, your chance of randomly guessing the right answer is 1 in 4, or 25% &#8230; right?<\/p>\n<p>You&#8217;d <i>think<\/i> that &#8212; until you see that 25% is written twice.<\/p>\n<p>So, since the correct answer appears twice, your chance of guessing correctly is 2 in 4, or 50% &#8230; right?<\/p>\n<p>EXCEPT that if the correct answer is 50%, which only appears once, then the correct answer is actually 25% (since only one in four answers says &#8220;50%.&#8221;)<\/p>\n<p>That&#8217;s sort of satisying &#8212; until you see that 25% is written twice.<\/p>\n<p>So &#8230; (wait, this is hurting our heads!) since the correct answer appears twice, your chance of guessing correctly is 2 in 4, or 50% &#8230; right?<\/p>\n<p>EXCEPT that if the correct answer is 50%, which only appears once, then the correct answer is actually 25% (since only one in four answers says &#8220;50%.&#8221;)<\/p>\n<p>Whoa. (We&#8217;re <a href=\"\/\/dictionary.reference.com\/browse\/nonplussed\">nonplussed<\/a>, <a href=\"\/\/dictionary.reference.com\/browse\/flummoxed\">flummoxed<\/a>, <a href=\"\/\/dictionary.reference.com\/browse\/addlepated\">addlepated<\/a>, and just generally making a Keanu Reeves expression right now.)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/\/www.jenisfamous.com\/dev\/wp-content\/uploads\/sites\/19\/2011\/11\/keanu-reeves-whoa.jpeg\" alt=\"\" title=\"keanu-reeves-whoa\" width=\"425\" height=\"316\" class=\"alignnone size-full wp-image-5003\" \/><\/p>\n<p>Let&#8217;s stop here.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Via Flowingdata via Raymond Johnson, credit to Ryan Grover. If a multiple choice question has four answers, your chance of randomly guessing the right answer is 1 in 4, or 25% &#8230; right? You&#8217;d think that &#8212; until you see that 25% is written twice. So, since the correct answer appears twice, your chance of [&hellip;]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,9],"tags":[],"yst_prominent_words":[],"class_list":["post-2571","post","type-post","status-publish","format-standard","hentry","category-gre-strategies","category-math-gre-strategies"],"_links":{"self":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/2571","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/comments?post=2571"}],"version-history":[{"count":1,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/2571\/revisions"}],"predecessor-version":[{"id":7212,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/posts\/2571\/revisions\/7212"}],"wp:attachment":[{"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/media?parent=2571"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/categories?post=2571"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/tags?post=2571"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gre\/wp-json\/wp\/v2\/yst_prominent_words?post=2571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}