{"id":439,"date":"2022-04-13T10:59:58","date_gmt":"2022-04-13T10:59:58","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=439"},"modified":"2024-11-16T05:11:26","modified_gmt":"2024-11-16T05:11:26","slug":"x-1-theoretical-probability","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/x-1-theoretical-probability\/","title":{"rendered":"X.1 Theoretical probability"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"> <strong>Theoretical 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<p class=\"has-text-color has-link-color has-large-font-size wp-elements-499329adb04419b66b784da3d09e23c2\" style=\"color:#000060\"><strong>1. Introduction to Probability<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li><strong>Probability<\/strong> is a measure of how likely an event is to occur.<\/li>\n\n\n\n<li>It is a way to quantify uncertainty using numbers between <strong>0<\/strong> (impossible event) and <strong>1<\/strong> (certain event).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-7bf440ce6e73829aaa979e4adb163819\" style=\"color:#000060\"><strong>2. Understanding Theoretical Probability<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Theoretical probability is based on <strong>mathematical reasoning<\/strong> rather than experiments or observations.<\/li>\n\n\n\n<li>It calculates the likelihood of an event using the known number of <strong>possible outcomes<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-f6420faef92ca8cde37e6b4872628713\" style=\"color:#000060\"><strong>3. Formula for Theoretical Probability<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"694\" height=\"81\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-48.png\" alt=\"\" class=\"wp-image-14586\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-48.png 694w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-48-300x35.png 300w\" sizes=\"auto, (max-width: 694px) 100vw, 694px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li><strong>Favorable outcomes<\/strong> are the specific results we are interested in.<\/li>\n\n\n\n<li><strong>Total outcomes<\/strong> are all the possible results that could occur.<\/li>\n<\/ul>\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 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-ba96aebf7a985b9a7d9200ada98ea4e9\" style=\"background-color:#eed8d8\"><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-2bfff1d7c9ef548ca4575028fe8cb13c\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p><strong>\ud83d\udcda You flip a coin.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" src=\"https:\/\/in.ixl.com\/qgen_res\/math\/probability\/generic_coin.gif\" alt=\"\" style=\"width:177px;height:auto\"\/><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-fed47dc247013cc9eea83e11209eebb9\" style=\"color:#b00012\">\ud83d\udcda <strong>What is P(heads)?<\/strong><\/p>\n\n\n\n<p>\ud83d\udcda <em>Write your answer as a percentage.<\/em> _______%<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Flipping a coin has two possibilities: heads or tails.<\/li>\n\n\n\n<li>P(heads) =1\/2<\/li>\n\n\n\n<li>Write your answer as a decimal. Then convert your answer to a percentage.<\/li>\n\n\n\n<li>1\/2 = 0.5 = 50%<\/li>\n\n\n\n<li>P(heads) = 50%<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><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-text-color has-background has-link-color wp-elements-9e0b044427ffad2b5285b3061d7cc30f\" style=\"background-color:#bae3d1\"><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-590c7e802a65c708c93b81e5562a650d\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p> \ud83d\udcda You pick a card at random.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><\/tr><tr><td>6<\/td><td>7<\/td><td>8<\/td><td>9<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-c7ec8f05051ba95ffb8a4e9bf9f44722\" style=\"color:#b00012\">\ud83d\udcda <strong>What is P(6)?<\/strong><\/p>\n\n\n\n<p>\ud83d\udcda <em>Write your answer as a percentage.<\/em>______%<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>There are 4 cards, numbered 6, 7, 8 and 9.<\/li>\n\n\n\n<li>P(6) =1\/4<\/li>\n\n\n\n<li>Write your answer as a decimal. Then convert your answer to a percentage.<\/li>\n\n\n\n<li>1\/4 = 0.25 = 25%<\/li>\n\n\n\n<li>P(6) = 25%<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><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-text-color has-background has-link-color wp-elements-23bb0c8f06668345efb6148591a3ea5c\" style=\"background-color:#ddc5d4\"><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-1a605ad98be622f8590cfdf0bc012de6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p> \ud83d\udcda You roll a 6-sided die.<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" src=\"https:\/\/in.ixl.com\/qgen_res\/math\/probability\/dice1.gif\" alt=\"\" style=\"width:181px;height:auto\"\/><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-a1aff6f10fe4449c7c8eee0e7767a34c\" style=\"color:#b00012\">\ud83d\udcda<strong> What is P(factor of 56)?<\/strong><\/p>\n\n\n\n<p>\ud83d\udcda <em>Simplify your answer and write it as a fraction or whole number.<\/em>_____<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The die has 6 sides, numbered 1, 2, 3, 4, 5 and 6. The factors of 56 are 1, 2 and 4.<\/li>\n\n\n\n<li>P(factor of 56) =3\/6<\/li>\n\n\n\n<li>Write your answer in simplest form.<\/li>\n\n\n\n<li>3\/6=1\/2<\/li>\n\n\n\n<li>P(factor of 56) =1\/2<\/li>\n<\/ul>\n<\/div><\/div>\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\/153\/318\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-159.png\" alt=\"\" class=\"wp-image-7480\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-159.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-159-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-159-150x150.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\/80927\/991\/405\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-178.png\" alt=\"\" class=\"wp-image-7481\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-178.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-178-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-178-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Theoretical probability Key Notes: 1. Introduction to Probability 2. Understanding Theoretical Probability 3. Formula for Theoretical Probability Learn with an example \ud83d\udcda You flip a coin. \ud83d\udcda What is P(heads)? \ud83d\udcda Write your answer as a percentage. _______% \ud83d\udcda You pick a card at random. 6 7 8 9 \ud83d\udcda What is P(6)? \ud83d\udcda Write<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/x-1-theoretical-probability\/\">Continue reading <span class=\"screen-reader-text\">&#8220;X.1 Theoretical 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-439","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/439","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=439"}],"version-history":[{"count":15,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/439\/revisions"}],"predecessor-version":[{"id":14589,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/439\/revisions\/14589"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=439"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}