{"id":1150,"date":"2021-08-19T18:15:25","date_gmt":"2021-08-19T18:15:25","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=1150"},"modified":"2022-01-25T00:15:08","modified_gmt":"2022-01-25T00:15:08","slug":"introduction-to-independent-and-mutually-exclusive-events","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/introduction-to-independent-and-mutually-exclusive-events\/","title":{"raw":"Introduction to Independent and Mutually Exclusive Events","rendered":"Introduction to Independent and Mutually Exclusive Events"},"content":{"raw":"<h2>What you\u2019ll learn to do: understand and calculate events that are independent and mutually exclusive<\/h2>\r\n<img class=\"alignright wp-image-1151 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/19180841\/pexels-nhu-tran-1479465-300x200.jpg\" alt=\"a picture of some playing cards on a table\" width=\"300\" height=\"200\" \/>At a local fair you are playing a card game. The employee at the fair draws four red cards from a standard fifty-two card deck. Given that this has happened, what is the probability that the next card will be red? In order to answer this question, you need to understand the concepts of independent events and conditional probability.","rendered":"<h2>What you\u2019ll learn to do: understand and calculate events that are independent and mutually exclusive<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-1151 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/19180841\/pexels-nhu-tran-1479465-300x200.jpg\" alt=\"a picture of some playing cards on a table\" width=\"300\" height=\"200\" \/>At a local fair you are playing a card game. The employee at the fair draws four red cards from a standard fifty-two card deck. Given that this has happened, what is the probability that the next card will be red? In order to answer this question, you need to understand the concepts of independent events and conditional probability.<\/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-1150\">\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>Seven Assorted Playing Cards on Brown Wooden Surface. <strong>Authored by<\/strong>: Nhu Tran. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/seven-assorted-playing-cards-on-brown-wooden-surface-1479465\/\">https:\/\/www.pexels.com\/photo\/seven-assorted-playing-cards-on-brown-wooden-surface-1479465\/<\/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":10,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Seven Assorted Playing Cards on Brown Wooden Surface\",\"author\":\"Nhu Tran\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/seven-assorted-playing-cards-on-brown-wooden-surface-1479465\/\",\"project\":\"\",\"license\":\"cc0\",\"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-1150","chapter","type-chapter","status-publish","hentry"],"part":43,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1150","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":3,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1150\/revisions"}],"predecessor-version":[{"id":3450,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1150\/revisions\/3450"}],"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\/1150\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=1150"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=1150"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=1150"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=1150"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}