{"id":613,"date":"2021-08-11T12:59:38","date_gmt":"2021-08-11T12:59:38","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=613"},"modified":"2022-01-24T21:41:26","modified_gmt":"2022-01-24T21:41:26","slug":"review-topics-for-success-3","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/review-topics-for-success-3\/","title":{"raw":"Review Topics for Success","rendered":"Review Topics for Success"},"content":{"raw":"<div class=\"bcc-box bcc-highlight\">\r\n<h3>Learning Outcomes<\/h3>\r\nBy the end of this section, you will be able to:\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Find the prime factorization of a number<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Find the least common multiple of a list of numbers<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Simplify fractions<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Add and subtract fractions<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Multiply fractions<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Divide fractions<\/li>\r\n<\/ul>\r\n<\/div>\r\nProbability theory is the foundation for statistical inference. After gathering and summarizing data, we want to make predictions (or inferences). You have likely used this type of inference in the past when looking at information such as weather forecasts.\r\n\r\nSuppose you toss a fair coin to decide which team will take an offensive position first in an athletic competition. There are two ways for the coin to land (heads and tails), and one of these is the face you have called. Therefore, if the coin is fair, there is a [latex]1[\/latex] in [latex]2[\/latex] chance that your team will go first. So, the probability you will win the toss is [latex]\\frac{1}{2}[\/latex].\r\n\r\n<img class=\"aligncenter wp-image-614 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/11125633\/pexels-alexander-nadrilyanski-3684122-300x200.jpg\" alt=\"There is a man kicking a soccer ball wearing a white shirt and another man in a blue shirt is looking. They are playing soccer.\" width=\"300\" height=\"200\" \/>\r\n\r\nWorking with fractions is essential to the study of probability theory. In this review section you can polish your skills in simplifying fractions, and adding, subtracting, multiplying, and dividing fractions.\r\n<div class=\"textbox examples\">\r\n<h3>Recall for success<\/h3>\r\nLook for red boxes like this one throughout the text. They'll show up just in time to give helpful\u00a0reminders of the math you'll need, right where you'll need it.\r\n\r\n<\/div>","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Outcomes<\/h3>\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Find the prime factorization of a number<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Find the least common multiple of a list of numbers<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Simplify fractions<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Add and subtract fractions<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Multiply fractions<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Divide fractions<\/li>\n<\/ul>\n<\/div>\n<p>Probability theory is the foundation for statistical inference. After gathering and summarizing data, we want to make predictions (or inferences). You have likely used this type of inference in the past when looking at information such as weather forecasts.<\/p>\n<p>Suppose you toss a fair coin to decide which team will take an offensive position first in an athletic competition. There are two ways for the coin to land (heads and tails), and one of these is the face you have called. Therefore, if the coin is fair, there is a [latex]1[\/latex] in [latex]2[\/latex] chance that your team will go first. So, the probability you will win the toss is [latex]\\frac{1}{2}[\/latex].<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-614 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/11125633\/pexels-alexander-nadrilyanski-3684122-300x200.jpg\" alt=\"There is a man kicking a soccer ball wearing a white shirt and another man in a blue shirt is looking. They are playing soccer.\" width=\"300\" height=\"200\" \/><\/p>\n<p>Working with fractions is essential to the study of probability theory. In this review section you can polish your skills in simplifying fractions, and adding, subtracting, multiplying, and dividing fractions.<\/p>\n<div class=\"textbox examples\">\n<h3>Recall for success<\/h3>\n<p>Look for red boxes like this one throughout the text. They&#8217;ll show up just in time to give helpful\u00a0reminders of the math you&#8217;ll need, right where you&#8217;ll need it.<\/p>\n<\/div>\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-613\">\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\">Public domain content<\/div><ul class=\"citation-list\"><li>Man Wearing Blue Shirt Looking on Ball. <strong>Authored by<\/strong>: Alexander Nadrilyanski. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/man-wearing-blue-shirt-looking-on-ball-3684122\/\">https:\/\/www.pexels.com\/photo\/man-wearing-blue-shirt-looking-on-ball-3684122\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/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":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"pd\",\"description\":\"Man Wearing Blue Shirt Looking on Ball\",\"author\":\"Alexander Nadrilyanski\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/man-wearing-blue-shirt-looking-on-ball-3684122\/\",\"project\":\"\",\"license\":\"pd\",\"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-613","chapter","type-chapter","status-publish","hentry"],"part":43,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/613","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\/613\/revisions"}],"predecessor-version":[{"id":3439,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/613\/revisions\/3439"}],"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\/613\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=613"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=613"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=613"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=613"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}