{"id":3375,"date":"2019-05-08T15:33:36","date_gmt":"2019-05-08T15:33:36","guid":{"rendered":"http:\/\/codethataint.com\/blog\/?p=3375"},"modified":"2019-05-08T15:33:36","modified_gmt":"2019-05-08T15:33:36","slug":"probability","status":"publish","type":"post","link":"https:\/\/codethataint.com\/blog\/probability\/","title":{"rendered":"Probability"},"content":{"rendered":"<p><strong>Questions<\/strong><\/p>\n<ol>\n<li>Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?<\/li>\n<\/ol>\n<p><strong>Solutions<\/strong><br \/>\nThe ants can only avoid a collision if they all decide to move in the same direction (either clockwise or anti-clockwise). So what is the probability of taking Clockwise direction? <em>1\/2 (0.5)<\/em>.What is the probability of all ants taking the same direction?<\/p>\n<pre>\r\nProbability of taking the Clockwise direction      = 0.5x0.5x0.5\r\nProbability of taking the Anti-Clockwise direction = 0.5x0.5x0.5\r\nProbability of taking the Same Direction = 0.5x0.5x0.5+0.5x0.5x0.5=0.125+0.125=0.25\r\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Questions Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide? Solutions The ants can only avoid a collision if they all decide to move in&hellip; <a href=\"https:\/\/codethataint.com\/blog\/probability\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[279],"tags":[],"class_list":["post-3375","post","type-post","status-publish","format-standard","hentry","category-probability"],"_links":{"self":[{"href":"https:\/\/codethataint.com\/blog\/wp-json\/wp\/v2\/posts\/3375","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/codethataint.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/codethataint.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/codethataint.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/codethataint.com\/blog\/wp-json\/wp\/v2\/comments?post=3375"}],"version-history":[{"count":1,"href":"https:\/\/codethataint.com\/blog\/wp-json\/wp\/v2\/posts\/3375\/revisions"}],"predecessor-version":[{"id":3376,"href":"https:\/\/codethataint.com\/blog\/wp-json\/wp\/v2\/posts\/3375\/revisions\/3376"}],"wp:attachment":[{"href":"https:\/\/codethataint.com\/blog\/wp-json\/wp\/v2\/media?parent=3375"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/codethataint.com\/blog\/wp-json\/wp\/v2\/categories?post=3375"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/codethataint.com\/blog\/wp-json\/wp\/v2\/tags?post=3375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}