{"id":454,"date":"2019-07-15T22:45:12","date_gmt":"2019-07-15T22:45:12","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/waymakercollegealgebracorequisite\/chapter\/why-it-matters-prob\/"},"modified":"2019-08-01T17:30:49","modified_gmt":"2019-08-01T17:30:49","slug":"why-it-matters-prob","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/chapter\/why-it-matters-prob\/","title":{"raw":"Why It Matters: Probability and Counting Principles","rendered":"Why It Matters: Probability and Counting Principles"},"content":{"raw":"According to the news, the lottery jackpot is climbing by the hour. Long lines of dreamers are forming wherever lottery tickets are sold. While you don\u2019t usually buy lottery tickets, it is getting tempting. Just imagine what you could do with $100 million dollars. Perhaps you could retire early or never even go to work. Maybe visit a beautiful island. All you need to do is pick the correct numbers, and the jackpot is all yours.\r\n\r\n<img class=\"size-medium wp-image-3884 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/896\/2017\/03\/22214133\/lotto-864035_1920-300x298.jpg\" alt=\"Image shows numbered balls as would be used to select the winning numbers of a lottery.\" width=\"300\" height=\"298\">\r\n\r\n&nbsp;\r\n\r\nIt sounds easy enough; just six simple numbers. But how likely are you to win? And could you increase the likelihood of winning by purchasing more lottery tickets?\r\n\r\nTo answer these questions, you need to know about permutations and combinations. So learn about them as you complete this module, and then we\u2019ll return to the lottery at the end. Then you\u2019ll be able to decide whether you want to stand in line to purchase a ticket.\r\n\r\n<img class=\"size-medium wp-image-3886 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/896\/2017\/03\/22214638\/sea-418742_1920-300x225.jpg\" alt=\"Photo shows blue ocean water in an inlet between rock structures.\" width=\"300\" height=\"225\">","rendered":"<p>According to the news, the lottery jackpot is climbing by the hour. Long lines of dreamers are forming wherever lottery tickets are sold. While you don\u2019t usually buy lottery tickets, it is getting tempting. Just imagine what you could do with $100 million dollars. Perhaps you could retire early or never even go to work. Maybe visit a beautiful island. All you need to do is pick the correct numbers, and the jackpot is all yours.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-3884 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/896\/2017\/03\/22214133\/lotto-864035_1920-300x298.jpg\" alt=\"Image shows numbered balls as would be used to select the winning numbers of a lottery.\" width=\"300\" height=\"298\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>It sounds easy enough; just six simple numbers. But how likely are you to win? And could you increase the likelihood of winning by purchasing more lottery tickets?<\/p>\n<p>To answer these questions, you need to know about permutations and combinations. So learn about them as you complete this module, and then we\u2019ll return to the lottery at the end. Then you\u2019ll be able to decide whether you want to stand in line to purchase a ticket.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-3886 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/896\/2017\/03\/22214638\/sea-418742_1920-300x225.jpg\" alt=\"Photo shows blue ocean water in an inlet between rock structures.\" width=\"300\" height=\"225\" \/><\/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-454\">\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 and Counting Principles. <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>Numbered balls for lottery. <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><li>Beach bay. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/pixabay.com\/en\/sea-bay-waterfront-beach-nice-418742\/\">https:\/\/pixabay.com\/en\/sea-bay-waterfront-beach-nice-418742\/<\/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":17533,"menu_order":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"Why It Matters: Probability and Counting Principles\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Numbered balls for lottery\",\"author\":\"\",\"organization\":\"\",\"url\":\"https:\/\/pixabay.com\/en\/lotto-balls-gambling-lottery-864035\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Beach bay\",\"author\":\"\",\"organization\":\"\",\"url\":\"https:\/\/pixabay.com\/en\/sea-bay-waterfront-beach-nice-418742\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"3c94fb2b-2db1-4da8-bb48-c23b3b91c151","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-454","chapter","type-chapter","status-publish","hentry"],"part":453,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/454","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/454\/revisions"}],"predecessor-version":[{"id":775,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/454\/revisions\/775"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/parts\/453"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapters\/454\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/media?parent=454"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=454"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/contributor?post=454"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/wp-json\/wp\/v2\/license?post=454"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}