{"id":1168,"date":"2021-08-19T19:40:11","date_gmt":"2021-08-19T19:40:11","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=1168"},"modified":"2022-01-26T18:09:17","modified_gmt":"2022-01-26T18:09:17","slug":"introduction-to-tree-and-venn-diagrams","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/introduction-to-tree-and-venn-diagrams\/","title":{"raw":"Introduction to Tree and Venn Diagrams","rendered":"Introduction to Tree and Venn Diagrams"},"content":{"raw":"<h2>What you\u2019ll learn to do: use tree and Venn diagrams to calculate probabilities<\/h2>\r\n<img class=\"alignright wp-image-1169 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/19193830\/pexels-isaac-pollock-3969392-300x200.jpg\" alt=\"a man is flipping a coin\" width=\"300\" height=\"200\" \/>Let\u2019s say that you flipped a coin three consecutive times.\u00a0 What is the probability of getting two or more heads Drawing a tree diagram would help in this situation. It would allow us to see the various possibilities for consecutive independent events. Venn diagrams are another way to organize information from a probability problem. Venn diagrams allow us to see what events are not mutually exclusive. Those events appear in the overlap of the circles of a Venn diagram.","rendered":"<h2>What you\u2019ll learn to do: use tree and Venn diagrams to calculate probabilities<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-1169 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/19193830\/pexels-isaac-pollock-3969392-300x200.jpg\" alt=\"a man is flipping a coin\" width=\"300\" height=\"200\" \/>Let\u2019s say that you flipped a coin three consecutive times.\u00a0 What is the probability of getting two or more heads Drawing a tree diagram would help in this situation. It would allow us to see the various possibilities for consecutive independent events. Venn diagrams are another way to organize information from a probability problem. Venn diagrams allow us to see what events are not mutually exclusive. Those events appear in the overlap of the circles of a Venn diagram.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-1168\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li><strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Man Tossing A Coin. <strong>Authored by<\/strong>: Isaac Pollock. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/man-tossing-a-coin-3969392\/\">https:\/\/www.pexels.com\/photo\/man-tossing-a-coin-3969392\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":169134,"menu_order":20,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Man Tossing A Coin\",\"author\":\"Isaac Pollock\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/man-tossing-a-coin-3969392\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1168","chapter","type-chapter","status-publish","hentry"],"part":43,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1168","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":4,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1168\/revisions"}],"predecessor-version":[{"id":3468,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1168\/revisions\/3468"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/43"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1168\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=1168"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=1168"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=1168"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=1168"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}