{"id":155766,"date":"2022-03-26T01:00:39","date_gmt":"2022-03-25T19:30:39","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/tree-diagram\/"},"modified":"2023-05-16T12:15:45","modified_gmt":"2023-05-16T06:45:45","slug":"tree-diagram","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/tree-diagram\/","title":{"rendered":"Tree Diagram"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/tree-diagram\/#Probability_and_Tree_Diagram\" title=\"Probability and Tree Diagram\">Probability and Tree Diagram<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/tree-diagram\/#Where_Tree_Diagram_Examples_Used\" title=\"Where Tree Diagram Examples Used:\">Where Tree Diagram Examples Used:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/tree-diagram\/#Tree_Diagram_in_Probability\" title=\"Tree Diagram in Probability\">Tree Diagram in Probability<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/tree-diagram\/#Calculating_Overall_Probability_and_Probability_Tree_Diagram\" title=\"Calculating Overall Probability and Probability Tree Diagram\">Calculating Overall Probability and Probability Tree Diagram<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/tree-diagram\/#Steps_to_Calculate_Overall_Probability\" title=\"Steps to Calculate Overall Probability\">Steps to Calculate Overall Probability<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Probability_and_Tree_Diagram\"><\/span>Probability and Tree Diagram<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/tree-diagram\/\">Probability<\/a> is a measure of how likely something is to happen. This can expressed as a number, between 0 and 1, or as a percentage. Probability can calculated using a variety of methods, including counting, conditional probability, and Bayes&#8217; theorem.<\/p>\n<p>A tree diagram is a graphical tool used to calculate and visualize probabilities. It consists of a series of branches, each representing a possible outcome of a event. The branches are linked together, and the probabilities of each outcome are calculated. The tree diagram can used to calculate the probability of multiple events happening simultaneously, or the probability of one event occurring given the outcome of another event.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155765 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/tree-diagram.jpg\" alt=\"Tree Diagram\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/tree-diagram.jpg?v=1648236634 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/tree-diagram-300x212.jpg?v=1648236634 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Where_Tree_Diagram_Examples_Used\"><\/span>Where Tree Diagram Examples Used:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There many different places where tree diagrams can used. One common place is in mathematics, where tree diagrams used to represent the structure of a mathematical problem or equation. They can also used in biology to diagram the family tree of a particular species or to diagram the relationships between different species. In business, tree diagrams can used to map the hierarchy of a company or to diagram the supply chain for a product.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Tree_Diagram_in_Probability\"><\/span>Tree Diagram in Probability<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A tree diagram is a graphical representation of a probability distribution. It is a branching diagram that shows the possible outcomes of an event, and the probability of each outcome. The diagram starts with the event at the root, and then branches out to show the different outcomes. Each branch labelled with the probability of that outcome.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Calculating_Overall_Probability_and_Probability_Tree_Diagram\"><\/span>Calculating Overall Probability and Probability Tree Diagram<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There is a 60% chance of rain tomorrow. This can calculated using the overall probability formula, which the probability of rain multiplied by the probability of not raining.<\/p>\n<p>The probability of rain is 0.6 and the probability of not raining is 0.4, so the overall probability of it raining tomorrow 0.6 multiplied by 0.4, which equals 0.24.<\/p>\n<p>A probability tree diagram can also used to calculate the overall probability. The first step is to draw a tree with one branch for rain and one branch for not raining. The next step is to calculate the probability of rain on the left side of the tree and the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Probability\">probability<\/a> of not raining on the right side of the tree.<\/p>\n<p>The probability of rain is 0.6 and the probability of not raining is 0.4, so the probability of rain on the left side of the tree is 0.6 and the probability of not raining on the right side of the tree is 0.4. The final step is to multiply the probabilities on the left and right sides of the tree to calculate the overall probability.<\/p>\n<p>The probability of rain on the left side of the tree is 0.6 and the probability of not raining on the right side of the tree is 0.4, so the overall probability of it raining tomorrow 0.6 multiplied by 0.4, which equals 0.24.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Steps_to_Calculate_Overall_Probability\"><\/span>Steps to Calculate Overall Probability<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Add the probabilities of the individual events.<\/p>\n<p>2. If the event is mutually exclusive, subtract the probability of the other event from 1.<\/p>\n<p>3. If the events are not mutually exclusive, multiply the probabilities of the events.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Probability and Tree Diagram Probability is a measure of how likely something is to happen. This can expressed as a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Tree Diagram","_yoast_wpseo_title":"Tree Diagram in Probability - Meaning, Theory, Calculations and Example","_yoast_wpseo_metadesc":"A tree diagram is a graphical tool used in probability to visualize outcomes of interconnected events. 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