{"id":436,"date":"2023-02-01T00:04:18","date_gmt":"2023-02-01T00:04:18","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/chapter\/calculating-the-odds-of-an-event\/"},"modified":"2023-02-01T00:04:18","modified_gmt":"2023-02-01T00:04:18","slug":"calculating-the-odds-of-an-event","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/chapter\/calculating-the-odds-of-an-event\/","title":{"raw":"Why It Matters: Probability","rendered":"Why It Matters: Probability"},"content":{"raw":"\n<h2>Why learn how to compute probability?<\/h2>\nAccording to the news, the lottery jackpot is climbing by the hour. &nbsp;Long lines of dreamers are forming wherever lottery tickets are sold. &nbsp;While you don\u2019t usually buy lottery tickets, it is getting tempting. &nbsp;Just imagine what you could do with $100 million dollars. &nbsp;Perhaps you could retire early or never even go to work. &nbsp;Maybe buy a rare fancy car. &nbsp;All you need to do is pick the correct numbers, and the jackpot is all yours!\n\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1141\/2017\/03\/29202931\/01-bonhams-ferrari-monterey-2014-1.jpg\"><img class=\"wp-image-2411 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1141\/2017\/03\/29202931\/01-bonhams-ferrari-monterey-2014-1-300x169.jpg\" alt=\"Image of a red Ferrari 250 GTO on a display platform.\" width=\"460\" height=\"259\"><\/a>\n\nIt sounds easy enough; just six simple numbers. &nbsp;But how likely are you to win? &nbsp;And could you increase the likelihood of winning by purchasing more lottery tickets?\n<p style=\"text-align: center;\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1141\/2017\/03\/29203238\/lotto-balls.jpg\"><img class=\"wp-image-2412 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1141\/2017\/03\/29203238\/lotto-balls-300x298.jpg\" alt=\"Image shows numbered balls as would be used to select the winning numbers of a lottery.\" width=\"220\" height=\"218\"><\/a><\/p>\nTo answer these questions, you need to know about permutations and combinations. &nbsp;So learn about them as you complete this module, and then we\u2019ll return to the lottery at the end. &nbsp;Then you\u2019ll be able to decide whether you want to stand in line to purchase a ticket.\n","rendered":"<h2>Why learn how to compute probability?<\/h2>\n<p>According to the news, the lottery jackpot is climbing by the hour. &nbsp;Long lines of dreamers are forming wherever lottery tickets are sold. &nbsp;While you don\u2019t usually buy lottery tickets, it is getting tempting. &nbsp;Just imagine what you could do with $100 million dollars. &nbsp;Perhaps you could retire early or never even go to work. &nbsp;Maybe buy a rare fancy car. &nbsp;All you need to do is pick the correct numbers, and the jackpot is all yours!<\/p>\n<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1141\/2017\/03\/29202931\/01-bonhams-ferrari-monterey-2014-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2411 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1141\/2017\/03\/29202931\/01-bonhams-ferrari-monterey-2014-1-300x169.jpg\" alt=\"Image of a red Ferrari 250 GTO on a display platform.\" width=\"460\" height=\"259\" \/><\/a><\/p>\n<p>It sounds easy enough; just six simple numbers. &nbsp;But how likely are you to win? &nbsp;And could you increase the likelihood of winning by purchasing more lottery tickets?<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1141\/2017\/03\/29203238\/lotto-balls.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2412 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/1141\/2017\/03\/29203238\/lotto-balls-300x298.jpg\" alt=\"Image shows numbered balls as would be used to select the winning numbers of a lottery.\" width=\"220\" height=\"218\" \/><\/a><\/p>\n<p>To answer these questions, you need to know about permutations and combinations. &nbsp;So learn about them as you complete this module, and then we\u2019ll return to the lottery at the end. &nbsp;Then you\u2019ll be able to decide whether you want to stand in line to purchase a ticket.<\/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-436\">\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>Why It Matters: Probability. <strong>Authored 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>Ferrari 250 GTO. <strong>Authored by<\/strong>: Aekkm. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/commons.wikimedia.org\/wiki\/File:01-bonhams-ferrari-monterey-2014-1.jpg\">https:\/\/commons.wikimedia.org\/wiki\/File:01-bonhams-ferrari-monterey-2014-1.jpg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Lotto Balls. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/pixabay.com\/en\/lotto-balls-gambling-lottery-864035\">https:\/\/pixabay.com\/en\/lotto-balls-gambling-lottery-864035<\/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":538461,"menu_order":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Why It Matters: Probability\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ferrari 250 GTO\",\"author\":\"Aekkm\",\"organization\":\"\",\"url\":\"https:\/\/commons.wikimedia.org\/wiki\/File:01-bonhams-ferrari-monterey-2014-1.jpg\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Lotto Balls\",\"author\":\"\",\"organization\":\"\",\"url\":\"https:\/\/pixabay.com\/en\/lotto-balls-gambling-lottery-864035\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"bcc9ceed-19f6-4ca5-a540-ed5a5c1eb03c","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-436","chapter","type-chapter","status-publish","hentry"],"part":434,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/pressbooks\/v2\/chapters\/436","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/wp\/v2\/users\/538461"}],"version-history":[{"count":0,"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/pressbooks\/v2\/chapters\/436\/revisions"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/pressbooks\/v2\/parts\/434"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/pressbooks\/v2\/chapters\/436\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/wp\/v2\/media?parent=436"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=436"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/wp\/v2\/contributor?post=436"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ct-state-quantitative-reasoning\/wp-json\/wp\/v2\/license?post=436"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}