{"id":978,"date":"2023-06-22T01:38:43","date_gmt":"2023-06-22T01:38:43","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/probability-background-youll-need-2\/"},"modified":"2024-02-21T17:57:42","modified_gmt":"2024-02-21T17:57:42","slug":"probability-background-youll-need-2","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/probability-background-youll-need-2\/","title":{"raw":"Additional Concepts in Probability: Background You'll Need 2","rendered":"Additional Concepts in Probability: Background You&#8217;ll Need 2"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Calculate probabilities of \u201cequally likely\u201d outcomes<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h3>Probability Values<\/h3>\r\n<p>A [pb_glossary id=\"5598\"]probability[\/pb_glossary] is always a number from [latex]0[\/latex] to [latex]1[\/latex], inclusive (which means that [latex]0[\/latex] and [latex]1[\/latex] are included). Probability may be written as a percentage, from [latex]0\\%[\/latex] to [latex]100\\%[\/latex], inclusive. We can also express a probability as a fraction or a decimal.<\/p>\r\n<section class=\"textbox recall\">\r\n<p style=\"text-align: center;\">[latex]\\text{Probability of }A = P(A) = \\dfrac{\\text{number of outcomes in event } A}{\\text{number of all possible outcomes}}[\/latex]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]982[\/ohm2_question]<\/section>\r\n<p>Sometimes we deal with situations that are more complicated than rolling a six-sided die or flipping a coin. However, the idea is the same\u2014we think of the probability problem as two counting problems followed by the computation of a related fraction.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1543[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1070[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1071[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Calculate probabilities of \u201cequally likely\u201d outcomes<\/li>\n<\/ul>\n<\/section>\n<h3>Probability Values<\/h3>\n<p>A <a class=\"glossary-term\" aria-haspopup=\"dialog\" aria-describedby=\"definition\" href=\"#term_978_5598\">probability<\/a> is always a number from [latex]0[\/latex] to [latex]1[\/latex], inclusive (which means that [latex]0[\/latex] and [latex]1[\/latex] are included). Probability may be written as a percentage, from [latex]0\\%[\/latex] to [latex]100\\%[\/latex], inclusive. We can also express a probability as a fraction or a decimal.<\/p>\n<section class=\"textbox recall\">\n<p style=\"text-align: center;\">[latex]\\text{Probability of }A = P(A) = \\dfrac{\\text{number of outcomes in event } A}{\\text{number of all possible outcomes}}[\/latex]<\/p>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm982\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=982&theme=lumen&iframe_resize_id=ohm982&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Sometimes we deal with situations that are more complicated than rolling a six-sided die or flipping a coin. However, the idea is the same\u2014we think of the probability problem as two counting problems followed by the computation of a related fraction.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1543\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1543&theme=lumen&iframe_resize_id=ohm1543&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1070\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1070&theme=lumen&iframe_resize_id=ohm1070&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1071\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1071&theme=lumen&iframe_resize_id=ohm1071&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<div class=\"glossary\"><span class=\"screen-reader-text\" id=\"definition\">definition<\/span><template id=\"term_978_5598\"><div class=\"glossary__definition\" role=\"dialog\" data-id=\"term_978_5598\"><div tabindex=\"-1\"><p>a numeric measure (the number of outcomes in the event divided by the number of possible outcomes in the sample space) of how likely the event is to happen<\/p>\n<\/div><button><span aria-hidden=\"true\">&times;<\/span><span class=\"screen-reader-text\">Close definition<\/span><\/button><\/div><\/template><\/div>","protected":false},"author":8,"menu_order":3,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":2910,"module-header":"background_you_need","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\/978"}],"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":5,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/978\/revisions"}],"predecessor-version":[{"id":5599,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/978\/revisions\/5599"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/2910"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/978\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=978"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=978"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=978"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}