{"id":33768,"date":"2024-04-15T09:21:24","date_gmt":"2024-04-15T09:21:24","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=33768"},"modified":"2024-04-15T09:21:24","modified_gmt":"2024-04-15T09:21:24","slug":"in-case-of-conditional-probability-a-and-b","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/in-case-of-conditional-probability-a-and-b\/","title":{"rendered":"In case of conditional probability (A and B) = ?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;P(B) \u00c3\u0097 P(A\/B)&#8221; option2=&#8221;P(B) \u00c3\u0097 P(A)&#8221; option3=&#8221;P(A) + P(B)&#8221; option4=&#8221;None of these&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is: A. P(B) \u00c3\u0097 P(A\/B).<\/p>\n<p>Conditional probability is the probability of event A occurring given that event B has already occurred. It is calculated by dividing the probability of both events occurring by the probability of event B occurring.<\/p>\n<p>In other words, P(A|B) = P(A and B) \/ P(B).<\/p>\n<p>Option A is the correct answer because it is the formula for conditional probability. Option B is incorrect because it is the formula for joint probability. Option C is incorrect because it is the formula for marginal probability. Option D is incorrect because it is not a valid formula for probability.<\/p>\n<p>Here is a more detailed explanation of each option:<\/p>\n<ul>\n<li>Option A: P(B) \u00c3\u0097 P(A\/B)<\/li>\n<\/ul>\n<p>This is the formula for conditional probability. Conditional probability is the probability of event A occurring given that event B has already occurred. It is calculated by dividing the probability of both events occurring by the probability of event B occurring.<\/p>\n<p>In other words, P(A|B) = P(A and B) \/ P(B).<\/p>\n<ul>\n<li>Option B: P(B) \u00c3\u0097 P(A)<\/li>\n<\/ul>\n<p>This is the formula for joint probability. Joint probability is the probability of both events A and B occurring. It is calculated by multiplying the probability of event A occurring by the probability of event B occurring.<\/p>\n<p>In other words, P(A and B) = P(A) \u00c3\u0097 P(B).<\/p>\n<ul>\n<li>Option C: P(A) + P(B)<\/li>\n<\/ul>\n<p>This is the formula for marginal probability. Marginal probability is the probability of event A occurring, regardless of whether or not event B occurs. It is calculated by adding the probability of event A occurring and the probability of event B occurring, minus the probability of both events occurring.<\/p>\n<p>In other words, P(A) = P(A and B) + P(A and not B).<\/p>\n<ul>\n<li>Option D: None of these<\/li>\n<\/ul>\n<p>This is the correct answer because it is not a valid formula for probability.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;P(B) \u00c3\u0097 P(A\/B)&#8221; option2=&#8221;P(B) \u00c3\u0097 P(A)&#8221; option3=&#8221;P(A) + P(B)&#8221; option4=&#8221;None of these&#8221; correct=&#8221;option1&#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-33768","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>In case of conditional probability (A and B) = ?<\/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\/in-case-of-conditional-probability-a-and-b\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In case of conditional probability (A and B) = ?\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;P(B) \u00c3\u0097 P(A\/B)&#8221; 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