{"id":441,"date":"2022-04-13T11:00:13","date_gmt":"2022-04-13T11:00:13","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=441"},"modified":"2024-11-16T05:19:01","modified_gmt":"2024-11-16T05:19:01","slug":"x-2-experimental-probability","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/x-2-experimental-probability\/","title":{"rendered":"X.2 Experimental probability"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Experimental probability<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-f79afd6ea8b322268468366b8e5f7cc7\" style=\"color:#74008b\"><strong>Key Notes:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p><strong>Definition:<\/strong> Experimental probability refers to the probability of an event occurring based on experimental or observed data rather than theoretical calculations. It is determined by performing an experiment multiple times and recording the results.<\/p>\n\n\n\n<p><strong>Formula for Experimental Probability:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"562\" height=\"99\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-49.png\" alt=\"\" class=\"wp-image-14592\" style=\"width:496px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-49.png 562w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-49-300x53.png 300w\" sizes=\"auto, (max-width: 562px) 100vw, 562px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>P(E) is the probability of event E occurring.<\/li>\n\n\n\n<li>The numerator is the count of favorable outcomes (how often the event of interest happens).<\/li>\n\n\n\n<li>The denominator is the total number of trials or experiments conducted.<\/li>\n<\/ul>\n\n\n\n<p><strong>Steps to Calculate Experimental Probability:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Conduct the experiment multiple times.<\/li>\n\n\n\n<li>Count the number of times the event occurs (favorable outcomes).<\/li>\n\n\n\n<li>Count the total number of trials.<\/li>\n\n\n\n<li>Use the formula to calculate the probability.<\/li>\n<\/ul>\n\n\n\n<p><strong>Example:<\/strong> If you roll a die 100 times and get a 4 on 18 occasions, the experimental probability of rolling a 4 is.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"295\" height=\"91\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-50.png\" alt=\"\" class=\"wp-image-14594\" style=\"width:227px;height:auto\"\/><\/figure><\/div>\n\n\n<p>This means the experimental probability of rolling a 4 is 0.18 or 18%.<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color wp-elements-8f763bd8ac2569074712d3d72b0a425e\" style=\"background-color:#ffb5b5\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-cec02feb18cb3e35300787a2db18b9c7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-02365e27cec0281a11b2a17f66d44b6d\" style=\"color:#b00012\"> \ud83d\udcda <strong>At Burger Haven, 6 of the last 9 customers wanted cheese on their burgers. What is the experimental probability that the next customer will want cheese on his or her burger?<\/strong><\/p>\n\n\n\n<p>\ud83d\udcda Simplify your answer and write it as a fraction or whole number.<\/p>\n\n\n\n<p>\ud83d\udcda P(cheese)&nbsp;=_____<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Write the experimental probability as a fraction in simplest form.<\/li>\n\n\n\n<li>P(cheese) = cheese\/total<\/li>\n\n\n\n<li>=6\/9<\/li>\n\n\n\n<li>=2\/3<\/li>\n\n\n\n<li>So, P(cheese) =2\/3<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color wp-elements-6f5bc268fc58bec813c60446a7d84470\" style=\"background-color:#bfaee8\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-6748176abaa6ac6318f8779ad4757a11\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-a2a416ba20b79f3cb32649697cd185b9\" style=\"color:#b00012\"> \ud83d\udcda <strong>A grocery store recently sold 12 tins of soup, 6 of which contain split pea soup. What is the experimental probability that the next tin sold will be split pea soup?<\/strong><\/p>\n\n\n\n<p>\ud83d\udcda Simplify your answer and write it as a fraction or whole number.<\/p>\n\n\n\n<p>\ud83d\udcda P(split pea) =______<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Write the experimental probability as a fraction in simplest form.<\/li>\n\n\n\n<li>P(split pea) = split pea\/total<\/li>\n\n\n\n<li> =6\/12<\/li>\n\n\n\n<li>=1\/2<\/li>\n\n\n\n<li>So, P(split pea) =1\/2<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color wp-elements-c155b7e1d7393feeb560cedb31639c5a\" style=\"background-color:#ecd8ee\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-209a3513d628c239947633b52ce366ef\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-8492798ac5255d8a4df7c452f644ee06\" style=\"color:#b00012\">\ud83d\udcda <strong>At a T-shirt stand on the boardwalk, 2 of the last 10 shirts sold were yellow. What is the experimental probability that the next shirt sold will be yellow?<\/strong><\/p>\n\n\n\n<p>\ud83d\udcda Simplify your answer and write it as a fraction or whole number.<\/p>\n\n\n\n<p>\ud83d\udcda P(yellow)&nbsp;=&nbsp;_______<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Write the experimental probability as a fraction in simplest form.<\/li>\n\n\n\n<li>P(yellow) =yellow\/total<\/li>\n\n\n\n<li>=2\/10<\/li>\n\n\n\n<li>=1\/5<\/li>\n\n\n\n<li>So, P(yellow) =1\/5<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/75551\/976\/908\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-160.png\" alt=\"\" class=\"wp-image-7483\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-160.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-160-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-160-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/80929\/978\/183\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-179.png\" alt=\"\" class=\"wp-image-7484\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-179.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-179-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-179-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Experimental probability Key Notes: Definition: Experimental probability refers to the probability of an event occurring based on experimental or observed data rather than theoretical calculations. It is determined by performing an experiment multiple times and recording the results. Formula for Experimental Probability: Steps to Calculate Experimental Probability: Example: If you roll a die 100 times<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/x-2-experimental-probability\/\">Continue reading <span class=\"screen-reader-text\">&#8220;X.2 Experimental probability&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-441","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/441","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=441"}],"version-history":[{"count":14,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/441\/revisions"}],"predecessor-version":[{"id":14595,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/441\/revisions\/14595"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=441"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}