{"id":2897,"date":"2024-08-22T21:16:45","date_gmt":"2024-08-22T21:16:45","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/?post_type=chapter&#038;p=2897"},"modified":"2025-01-08T16:52:27","modified_gmt":"2025-01-08T16:52:27","slug":"probability-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/chapter\/probability-apply-it-1\/","title":{"raw":"Probability: Apply It 1","rendered":"Probability: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\" aria-label=\"Learning Goals\">\r\n<ul>\r\n \t<li>Construct probability models<\/li>\r\n \t<li>Compute probabilities of equally likely outcomes<\/li>\r\n \t<li>Compute probabilities of the union of two events<\/li>\r\n \t<li>Use the complement rule to find probabilities<\/li>\r\n \t<li>Compute probability using counting theory<\/li>\r\n<\/ul>\r\n<\/section>\r\n<p class=\"whitespace-pre-wrap break-words\">You're working as a game designer for an educational gaming company. Your team is developing a new card game to teach probability concepts to college students. The game uses a special deck of [latex]40[\/latex] cards with different colored backgrounds (red, blue, green, yellow) and different symbols (star, circle, triangle). Your task is to analyze the probability distribution to ensure the game is fair and engaging.<\/p>\r\n<p class=\"whitespace-pre-wrap break-words\">The deck contains:<\/p>\r\n\r\n<ul class=\"-mt-1 [li&gt;&amp;]:mt-2 list-disc space-y-2 pl-8\">\r\n \t<li class=\"whitespace-normal break-words\">[latex]12[\/latex] red cards ([latex]4[\/latex] with stars, [latex]4[\/latex] with circles, [latex]4[\/latex] with triangles)<\/li>\r\n \t<li class=\"whitespace-normal break-words\">[latex]10[\/latex] blue cards ([latex]4[\/latex] with stars, [latex]3[\/latex] with circles, [latex]3[\/latex] with triangles)<\/li>\r\n \t<li class=\"whitespace-normal break-words\">[latex]10[\/latex] green cards ([latex]3[\/latex] with stars, [latex]4[\/latex] with circles, [latex]3[\/latex] with triangles)<\/li>\r\n \t<li class=\"whitespace-normal break-words\">[latex]8[\/latex] yellow cards ([latex]2[\/latex] with stars, [latex]3[\/latex] with circles, [latex]3[\/latex] with triangles)<\/li>\r\n<\/ul>\r\n<section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31679[\/ohm2_question]<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31680[\/ohm2_question]<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31681[\/ohm2_question]<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31682[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\" aria-label=\"Learning Goals\">\n<ul>\n<li>Construct probability models<\/li>\n<li>Compute probabilities of equally likely outcomes<\/li>\n<li>Compute probabilities of the union of two events<\/li>\n<li>Use the complement rule to find probabilities<\/li>\n<li>Compute probability using counting theory<\/li>\n<\/ul>\n<\/section>\n<p class=\"whitespace-pre-wrap break-words\">You&#8217;re working as a game designer for an educational gaming company. Your team is developing a new card game to teach probability concepts to college students. The game uses a special deck of [latex]40[\/latex] cards with different colored backgrounds (red, blue, green, yellow) and different symbols (star, circle, triangle). Your task is to analyze the probability distribution to ensure the game is fair and engaging.<\/p>\n<p class=\"whitespace-pre-wrap break-words\">The deck contains:<\/p>\n<ul class=\"-mt-1 [li&gt;&amp;]:mt-2 list-disc space-y-2 pl-8\">\n<li class=\"whitespace-normal break-words\">[latex]12[\/latex] red cards ([latex]4[\/latex] with stars, [latex]4[\/latex] with circles, [latex]4[\/latex] with triangles)<\/li>\n<li class=\"whitespace-normal break-words\">[latex]10[\/latex] blue cards ([latex]4[\/latex] with stars, [latex]3[\/latex] with circles, [latex]3[\/latex] with triangles)<\/li>\n<li class=\"whitespace-normal break-words\">[latex]10[\/latex] green cards ([latex]3[\/latex] with stars, [latex]4[\/latex] with circles, [latex]3[\/latex] with triangles)<\/li>\n<li class=\"whitespace-normal break-words\">[latex]8[\/latex] yellow cards ([latex]2[\/latex] with stars, [latex]3[\/latex] with circles, [latex]3[\/latex] with triangles)<\/li>\n<\/ul>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31679\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31679&theme=lumen&iframe_resize_id=ohm31679&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31680\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31680&theme=lumen&iframe_resize_id=ohm31680&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31681\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31681&theme=lumen&iframe_resize_id=ohm31681&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31682\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31682&theme=lumen&iframe_resize_id=ohm31682&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":12,"menu_order":22,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":385,"module-header":"apply_it","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/2897"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/users\/12"}],"version-history":[{"count":10,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/2897\/revisions"}],"predecessor-version":[{"id":7146,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/2897\/revisions\/7146"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/parts\/385"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/2897\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/media?parent=2897"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=2897"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/contributor?post=2897"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/license?post=2897"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}