{"id":995,"date":"2023-06-22T01:38:57","date_gmt":"2023-06-22T01:38:57","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/conditional-probabilities-learn-it-1\/"},"modified":"2025-05-11T23:32:31","modified_gmt":"2025-05-11T23:32:31","slug":"conditional-probabilities-learn-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/conditional-probabilities-learn-it-1\/","title":{"raw":"Conditional Probabilities: Learn It 1","rendered":"Conditional Probabilities: Learn It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Describe and find conditional probabilities.<\/li>\r\n\t<li>Understand the concept of independent events.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<section class=\"textbox recall\">When the outcomes of the sample space are\u00a0<b>equally likely<\/b>, the\u00a0probability\u00a0of an event is the number of outcomes in the event divided by the number of possible outcomes in the sample space.<br \/>\r\n<br \/>\r\n[latex]P(\\text{event}) = \\dfrac{\\text{number of outcomes in event}}{\\text{number of all possible outcomes}}[\/latex]<\/section>\r\n\r\n[caption id=\"attachment_1411\" align=\"aligncenter\" width=\"488\"]<img class=\"wp-image-1411\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5826\/2022\/10\/04200025\/Picture11.jpg\" alt=\"A woman playing with blocks with a group of children.\" width=\"488\" height=\"327\" \/> Figure 1. Childcare support plays a vital role in the lives of families. Survey data helps policymakers understand public opinion on funding for services like these.[\/caption]\r\n\r\n<p>The General Social Survey (GSS) is a project of the independent research organization, National Opinion Research Center (NORC), at the University of Chicago, with principal funding from the National Science Foundation. [footnote]About GSS Data Explorer. (n.d.). GSS Data Explorer. Retrieved from gssdataexplorer.norc.org[\/footnote]<\/p>\r\n<p>In 2018, the GSS asked survey respondents whether the United States\u2019 spending on alternative energy was too little, about right, or too much. Similarly, respondents were also asked whether the United States\u2019 spending on childcare was too little, about right, or too much.<\/p>\r\n<p class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1094[\/ohm2_question]<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1091[\/ohm2_question]<\/section>\r\n<h3>So, what is conditional probability?<\/h3>\r\n<p>What we mean by conditional is that a condition might be provided that can reduce the sample space. Let's explore conditional probability on the next page.\u00a0<\/p>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Describe and find conditional probabilities.<\/li>\n<li>Understand the concept of independent events.<\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox recall\">When the outcomes of the sample space are\u00a0<b>equally likely<\/b>, the\u00a0probability\u00a0of an event is the number of outcomes in the event divided by the number of possible outcomes in the sample space.<\/p>\n<p>[latex]P(\\text{event}) = \\dfrac{\\text{number of outcomes in event}}{\\text{number of all possible outcomes}}[\/latex]<\/section>\n<figure id=\"attachment_1411\" aria-describedby=\"caption-attachment-1411\" style=\"width: 488px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1411\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5826\/2022\/10\/04200025\/Picture11.jpg\" alt=\"A woman playing with blocks with a group of children.\" width=\"488\" height=\"327\" \/><figcaption id=\"caption-attachment-1411\" class=\"wp-caption-text\">Figure 1. Childcare support plays a vital role in the lives of families. Survey data helps policymakers understand public opinion on funding for services like these.<\/figcaption><\/figure>\n<p>The General Social Survey (GSS) is a project of the independent research organization, National Opinion Research Center (NORC), at the University of Chicago, with principal funding from the National Science Foundation. <a class=\"footnote\" title=\"About GSS Data Explorer. (n.d.). GSS Data Explorer. Retrieved from gssdataexplorer.norc.org\" id=\"return-footnote-995-1\" href=\"#footnote-995-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a><\/p>\n<p>In 2018, the GSS asked survey respondents whether the United States\u2019 spending on alternative energy was too little, about right, or too much. Similarly, respondents were also asked whether the United States\u2019 spending on childcare was too little, about right, or too much.<\/p>\n<p class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1094\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1094&theme=lumen&iframe_resize_id=ohm1094&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1091\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1091&theme=lumen&iframe_resize_id=ohm1091&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<h3>So, what is conditional probability?<\/h3>\n<p>What we mean by conditional is that a condition might be provided that can reduce the sample space. Let&#8217;s explore conditional probability on the next page.\u00a0<\/p>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-995-1\">About GSS Data Explorer. (n.d.). GSS Data Explorer. Retrieved from gssdataexplorer.norc.org <a href=\"#return-footnote-995-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":8,"menu_order":16,"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":"learn_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\/995"}],"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":14,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/995\/revisions"}],"predecessor-version":[{"id":6670,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/995\/revisions\/6670"}],"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\/995\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=995"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=995"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=995"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}