{"id":3571,"date":"2024-03-05T15:52:15","date_gmt":"2024-03-05T15:52:15","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=3571"},"modified":"2024-03-05T15:52:15","modified_gmt":"2024-03-05T15:52:15","slug":"a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is\/","title":{"rendered":"A bag contains 5 red marbles and some white marbles. If the probability of drawing a white marble is double that of red marble, the number of white marbles in the bag is"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;10&#8243; option2=&#8221;5&#8243; option3=&#8221;20&#8243; option4=&#8221;15&#8243; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is (b).<\/p>\n<p>Let $x$ be the number of white marbles in the bag. The probability of drawing a white marble is $\\frac{x}{x+5}$. The probability of drawing a red marble is $\\frac{5}{x+5}$. We are given that the probability of drawing a white marble is double that of red marble, so $\\frac{x}{x+5} = 2 \\cdot \\frac{5}{x+5}$. This simplifies to $x = 5$.<\/p>\n<p>Option (a) is incorrect because there are only 5 red marbles in the bag, so there cannot be 10 white marbles. Option (c) is incorrect because there are only 5 red marbles in the bag, so there cannot be 20 white marbles. Option (d) is incorrect because the number of white marbles is not 15.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;10&#8243; option2=&#8221;5&#8243; option3=&#8221;20&#8243; option4=&#8221;15&#8243; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[186],"tags":[],"class_list":["post-3571","post","type-post","status-publish","format-standard","hentry","category-probability","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>A bag contains 5 red marbles and some white marbles. If the probability of drawing a white marble is double that of red marble, the number of white marbles in the bag is<\/title>\n<meta name=\"description\" content=\"Let $x$ be the number of white marbles in the bag. The probability of drawing a white marble is $frac{x}{x+5}$. The probability of drawing a red marble is $frac{5}{x+5}$. We are given that the probability of drawing a white marble is double that of red marble, so $frac{x}{x+5} = 2 cdot frac{5}{x+5}$. This simplifies to $x = 5$.\" \/>\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\/a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A bag contains 5 red marbles and some white marbles. If the probability of drawing a white marble is double that of red marble, the number of white marbles in the bag is\" \/>\n<meta property=\"og:description\" content=\"Let $x$ be the number of white marbles in the bag. The probability of drawing a white marble is $frac{x}{x+5}$. The probability of drawing a red marble is $frac{5}{x+5}$. We are given that the probability of drawing a white marble is double that of red marble, so $frac{x}{x+5} = 2 cdot frac{5}{x+5}$. This simplifies to $x = 5$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:52:15+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A bag contains 5 red marbles and some white marbles. If the probability of drawing a white marble is double that of red marble, the number of white marbles in the bag is","description":"Let $x$ be the number of white marbles in the bag. The probability of drawing a white marble is $frac{x}{x+5}$. The probability of drawing a red marble is $frac{5}{x+5}$. We are given that the probability of drawing a white marble is double that of red marble, so $frac{x}{x+5} = 2 cdot frac{5}{x+5}$. This simplifies to $x = 5$.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is\/","og_locale":"en_US","og_type":"article","og_title":"A bag contains 5 red marbles and some white marbles. If the probability of drawing a white marble is double that of red marble, the number of white marbles in the bag is","og_description":"Let $x$ be the number of white marbles in the bag. The probability of drawing a white marble is $frac{x}{x+5}$. The probability of drawing a red marble is $frac{5}{x+5}$. We are given that the probability of drawing a white marble is double that of red marble, so $frac{x}{x+5} = 2 cdot frac{5}{x+5}$. This simplifies to $x = 5$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T15:52:15+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is\/","name":"A bag contains 5 red marbles and some white marbles. If the probability of drawing a white marble is double that of red marble, the number of white marbles in the bag is","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T15:52:15+00:00","dateModified":"2024-03-05T15:52:15+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Let $x$ be the number of white marbles in the bag. The probability of drawing a white marble is $\\frac{x}{x+5}$. The probability of drawing a red marble is $\\frac{5}{x+5}$. We are given that the probability of drawing a white marble is double that of red marble, so $\\frac{x}{x+5} = 2 \\cdot \\frac{5}{x+5}$. This simplifies to $x = 5$.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-bag-contains-5-red-marbles-and-some-white-marbles-if-the-probability-of-drawing-a-white-marble-is-double-that-of-red-marble-the-number-of-white-marbles-in-the-bag-is\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"probability","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/probability\/"},{"@type":"ListItem","position":4,"name":"A bag contains 5 red marbles and some white marbles. If the probability of drawing a white marble is double that of red marble, the number of white marbles in the bag is"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/3571","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=3571"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/3571\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=3571"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=3571"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=3571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}