{"id":154606,"date":"2022-03-25T23:43:18","date_gmt":"2022-03-25T18:13:18","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/multiplication-theorem-of-probability\/"},"modified":"2023-01-02T18:03:43","modified_gmt":"2023-01-02T12:33:43","slug":"multiplication-theorem-of-probability","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/multiplication-theorem-of-probability\/","title":{"rendered":"Multiplication Theorem of Probability"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/multiplication-theorem-of-probability\/#About_Multiplication_Theorem_of_Probability\" title=\"About Multiplication Theorem of Probability\">About Multiplication Theorem of Probability<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/multiplication-theorem-of-probability\/#Proof_of_Multiplication_Rule_Probability\" title=\"Proof of Multiplication Rule Probability\">Proof of Multiplication Rule Probability<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/multiplication-theorem-of-probability\/#Multiplication_Theorem_in_Probability\" title=\"Multiplication Theorem in Probability\">Multiplication Theorem in Probability<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/multiplication-theorem-of-probability\/#Multiplication_Theorem_of_Probability_Examples\" title=\"Multiplication Theorem of Probability Examples\">Multiplication Theorem of Probability Examples<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/multiplication-theorem-of-probability\/#Multiplication_Rule_of_Probability_for_Independent_Events\" title=\"Multiplication Rule of Probability for Independent Events\">Multiplication Rule of Probability for Independent Events<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/multiplication-theorem-of-probability\/#Multiplication_Rule_of_Probability_for_Dependent_Events\" title=\"Multiplication Rule of Probability for Dependent Events\">Multiplication Rule of Probability for Dependent Events<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"About_Multiplication_Theorem_of_Probability\"><\/span>About Multiplication Theorem of Probability<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The multiplication theorem of probability states that the probability of two or more events occurring is the product of their individual probabilities.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154605 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/multiplication-theorem-of-probability-300x212.jpg\" alt=\"Multiplication Theorem of Probability\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/multiplication-theorem-of-probability-300x212.jpg?v=1648231995 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/multiplication-theorem-of-probability.jpg?v=1648231995 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Proof_of_Multiplication_Rule_Probability\"><\/span>Proof of Multiplication Rule Probability<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To prove the multiplication rule probability, we will use the following equation:<\/p>\n<p>P(A and B) = P(A) x P(B)<\/p>\n<p>We will start by assuming that A and B are independent events. This means that the occurrence of one event does not affect the probability of the other event occurring. We can then use the fact that the probability of two independent events both occurring is the product of their individual probabilities. This will give us the following equation:<\/p>\n<p>P(A and B) = P(A) x P(B)<\/p>\n<p>= (0.5) x (0.5)<\/p>\n<p>= 0.25<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Multiplication_Theorem_in_Probability\"><\/span>Multiplication Theorem in Probability<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Multiplication theorem in Probability is a theorem that states that the probability of two independent events occurring together is the product of their individual probabilities.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Multiplication_Theorem_of_Probability_Examples\"><\/span>Multiplication Theorem of Probability Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Problem 1<\/p>\n<p>In a jar there are 6 green balls and 8 blue balls. What is the probability of picking a blue ball?<\/p>\n<p>The probability of picking a blue ball is 8\/14.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Multiplication_Rule_of_Probability_for_Independent_Events\"><\/span>Multiplication Rule of Probability for Independent Events<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The multiplication rule of probability states that the probability of two or more independent events occurring is the product of their individual probabilities.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Multiplication_Rule_of_Probability_for_Dependent_Events\"><\/span>Multiplication Rule of Probability for Dependent Events<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>If two events are dependent, then the probability of both events happening together is the product of the probabilities of the two individual events.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>About Multiplication Theorem of Probability The multiplication theorem of probability states that the probability of two or more events occurring [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Multiplication Theorem of Probability","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Multiplication Theorem of Probability topic of Maths in details explained by subject experts on infinitylearn.com","custom_permalink":"maths\/multiplication-theorem-of-probability\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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