{"id":33842,"date":"2024-04-15T09:22:27","date_gmt":"2024-04-15T09:22:27","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=33842"},"modified":"2024-04-15T09:22:27","modified_gmt":"2024-04-15T09:22:27","slug":"if-two-events-a-and-b-are-dependent-the-conditional-probability-of-a-given-b-i-e-p-a-b-is-calculated-as","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-two-events-a-and-b-are-dependent-the-conditional-probability-of-a-given-b-i-e-p-a-b-is-calculated-as\/","title":{"rendered":"If two events A and B are dependent, the conditional probability of A given B, i.e., P (A\/B) is calculated as:"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;P(B\/A) \/ P(AB)&#8221; option2=&#8221;P(B) \/ P(A)&#8221; option3=&#8221;P(AB) \/ P(A)&#8221; option4=&#8221;P(AB) \/ P(B)&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is: C. P(AB) \/ P(A)<\/p>\n<p>The conditional probability of A given B, i.e., P (A\/B), is the probability of event A occurring given that event B has already occurred. It is calculated as follows:<\/p>\n<p>P(A\/B) = P(AB) \/ P(B)<\/p>\n<p>where P(AB) is the probability of both events A and B occurring, and P(B) is the probability of event B occurring.<\/p>\n<p>Option A is incorrect because it is the conditional probability of B given A.<\/p>\n<p>Option B is incorrect because it is the probability of event B occurring.<\/p>\n<p>Option D is incorrect because it is the probability of both events A and B occurring.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;P(B\/A) \/ P(AB)&#8221; option2=&#8221;P(B) \/ P(A)&#8221; option3=&#8221;P(AB) \/ P(A)&#8221; option4=&#8221;P(AB) \/ P(B)&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[701],"tags":[],"class_list":["post-33842","post","type-post","status-publish","format-standard","hentry","category-business-statistics-and-research-methods","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If two events A and B are dependent, the conditional probability of A given B, i.e., P (A\/B) is calculated as:<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/if-two-events-a-and-b-are-dependent-the-conditional-probability-of-a-given-b-i-e-p-a-b-is-calculated-as\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If two events A and B are dependent, the conditional probability of A given B, i.e., P (A\/B) is calculated as:\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;P(B\/A) \/ P(AB)&#8221; 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