{"id":12394,"date":"2015-09-25T19:23:30","date_gmt":"2015-09-25T19:23:30","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=12394"},"modified":"2015-09-25T19:23:30","modified_gmt":"2015-09-25T19:23:30","slug":"math-probability-unequal-likelihood-and-odds","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-probability-unequal-likelihood-and-odds\/","title":{"rendered":"Math:  probability:  unequal likelihood and odds"},"content":{"rendered":"<h1>The tutor imagines an experiment in probability.<\/h1>\n<p>For most people, probability becomes interesting when you can apply it to a believable situation.  Let&#8217;s explore the following premise:<\/p>\n<p><strong>Example 1<\/strong><\/p>\n<p>Around a farm live twelve wild foxes.  Eleven are red, but one is white.  In the same field of vision, the white one is four times as likely to be noticed as a red one.  Assuming the foxes all behave similarly,  what is the probability that, out for a walk on the farm, you&#8217;ll notice the white one first?<\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p>If the white fox is four times as noticeable as a red one, the ratio between the likelihood of seeing it and the eleven red ones can be given as 4:11.  Some people might call this ratio the <em>odds<\/em> of seeing the white one first.<\/p>\n<p>The 4:11 ratio suggests that in fifteen fox sightings, four will be of the white one.  Therefore, the <em>probability<\/em> of seeing the white fox first is <sup style=\"font-size:medium\">4<\/sup>&frasl;<sub style=\"font-size:medium\">15<\/sub><\/span>.<\/p>\n<p>Notice that odds and probability, though closely related, are not the same.<\/p>\n<p>I&#8217;ve never seen any fox outdoors:)<\/p>\n<p>Source:<\/p>\n<p>Tan, S. T.  <u>Applied Finite Mathematics<\/u>.  Boston:  PWS-KENT, 1990.<\/p>\n<p><a href=\"http:\/\/stackoverflow.com\/questions\/7525977\/how-to-write-fraction-value-using-html\">stackoverflow.com<\/a><\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The tutor imagines an experiment in probability. For most people, probability becomes interesting when you can apply it to a believable situation. Let&#8217;s explore the following premise: Example 1 Around a farm live twelve wild foxes. Eleven are red, but &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/math-probability-unequal-likelihood-and-odds\/\"> <span class=\"screen-reader-text\">Math:  probability:  unequal likelihood and odds<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[1063,1062,718],"class_list":["post-12394","post","type-post","status-publish","format-standard","hentry","category-math","tag-likelihood","tag-odds","tag-probability"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/12394","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=12394"}],"version-history":[{"count":13,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/12394\/revisions"}],"predecessor-version":[{"id":12407,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/12394\/revisions\/12407"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=12394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=12394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=12394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}