{"id":983,"date":"2023-06-22T01:38:47","date_gmt":"2023-06-22T01:38:47","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/probability-apply-it-1\/"},"modified":"2025-05-10T22:30:07","modified_gmt":"2025-05-10T22:30:07","slug":"probability-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/probability-apply-it-1\/","title":{"raw":"Probability: Apply It 1","rendered":"Probability: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Calculate the probability of an event in a chance experiment.<\/li>\r\n\t<li>Recognize the differences between theoretical and empirical probability.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>What are the Chances?<\/h2>\r\n\r\n[caption id=\"attachment_6532\" align=\"aligncenter\" width=\"300\"]<img class=\"size-medium wp-image-6532\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/10222850\/duck-pond-3395156_1920-1-300x200.jpg\" alt=\"\" width=\"300\" height=\"200\" \/> Figure 1. Plastic Duck Pond Image by <a href=\"https:\/\/pixabay.com\/users\/ncpancy-8555767\/?utm_source=link-attribution&amp;utm_medium=referral&amp;utm_campaign=image&amp;utm_content=3395156\" target=\"_blank\" rel=\"noopener\">Ncpancy<\/a> from <a href=\"https:\/\/pixabay.com\/\/?utm_source=link-attribution&amp;utm_medium=referral&amp;utm_campaign=image&amp;utm_content=3395156\" target=\"_blank\" rel=\"noopener\">Pixabay<\/a>.[\/caption]\r\n\r\n<p>Organizers of a school carnival created a duck pond game consisting of [latex]20[\/latex] rubber ducks floating in a small, artificial pond. Six of the ducks are designated as winners with a large dot on the bottom of each winning duck. To play the duck pond game, participants choose a duck and turn it over to discover if they chose a winning duck and win a prize.<\/p>\r\n<p>Every carnival attendee is allowed to play the game once for free. Of the [latex]20[\/latex] ducks in the pond, two ducks are [latex]\\$10[\/latex] winners, four ducks are [latex]\\$5[\/latex] winners, and the rest of the ducks are not winners ([latex]\\$0[\/latex]).<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]838[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1073[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1075[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Calculate the probability of an event in a chance experiment.<\/li>\n<li>Recognize the differences between theoretical and empirical probability.<\/li>\n<\/ul>\n<\/section>\n<h2>What are the Chances?<\/h2>\n<figure id=\"attachment_6532\" aria-describedby=\"caption-attachment-6532\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-6532\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/10222850\/duck-pond-3395156_1920-1-300x200.jpg\" alt=\"\" width=\"300\" height=\"200\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/10222850\/duck-pond-3395156_1920-1-300x200.jpg 300w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/10222850\/duck-pond-3395156_1920-1-1024x683.jpg 1024w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/10222850\/duck-pond-3395156_1920-1-768x512.jpg 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/10222850\/duck-pond-3395156_1920-1-1536x1024.jpg 1536w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/10222850\/duck-pond-3395156_1920-1-65x43.jpg 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/10222850\/duck-pond-3395156_1920-1-225x150.jpg 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/10222850\/duck-pond-3395156_1920-1-350x233.jpg 350w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/10222850\/duck-pond-3395156_1920-1.jpg 1920w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-6532\" class=\"wp-caption-text\">Figure 1. Plastic Duck Pond Image by <a href=\"https:\/\/pixabay.com\/users\/ncpancy-8555767\/?utm_source=link-attribution&amp;utm_medium=referral&amp;utm_campaign=image&amp;utm_content=3395156\" target=\"_blank\" rel=\"noopener\">Ncpancy<\/a> from <a href=\"https:\/\/pixabay.com\/\/?utm_source=link-attribution&amp;utm_medium=referral&amp;utm_campaign=image&amp;utm_content=3395156\" target=\"_blank\" rel=\"noopener\">Pixabay<\/a>.<\/figcaption><\/figure>\n<p>Organizers of a school carnival created a duck pond game consisting of [latex]20[\/latex] rubber ducks floating in a small, artificial pond. Six of the ducks are designated as winners with a large dot on the bottom of each winning duck. To play the duck pond game, participants choose a duck and turn it over to discover if they chose a winning duck and win a prize.<\/p>\n<p>Every carnival attendee is allowed to play the game once for free. Of the [latex]20[\/latex] ducks in the pond, two ducks are [latex]\\$10[\/latex] winners, four ducks are [latex]\\$5[\/latex] winners, and the rest of the ducks are not winners ([latex]\\$0[\/latex]).<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm838\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=838&theme=lumen&iframe_resize_id=ohm838&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1073\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1073&theme=lumen&iframe_resize_id=ohm1073&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1075\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1075&theme=lumen&iframe_resize_id=ohm1075&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":7,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":974,"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\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/983"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":7,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/983\/revisions"}],"predecessor-version":[{"id":6533,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/983\/revisions\/6533"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/974"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/983\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=983"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=983"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=983"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=983"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}