{"id":39766,"date":"2025-06-27T09:42:06","date_gmt":"2025-06-27T09:42:06","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=39766"},"modified":"2025-06-27T09:42:08","modified_gmt":"2025-06-27T09:42:08","slug":"the-game-of-monopoly-has-4-railroad-properties-2-utility-properties-2-properties-each-of-dark-purple-and-dark-blue-and-3-properties-each-of-light-blue-pink-orange-red-yellow-and-green","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-game-of-monopoly-has-4-railroad-properties-2-utility-properties-2-properties-each-of-dark-purple-and-dark-blue-and-3-properties-each-of-light-blue-pink-orange-red-yellow-and-green\/","title":{"rendered":"The game of Monopoly has 4 railroad properties, 2 utility properties, 2 properties each of dark purple and dark blue, and 3 properties each of light blue, pink, orange, red, yellow, and green."},"content":{"rendered":"\n<p>The game of Monopoly has 4 railroad properties, 2 utility properties, 2 properties each of dark purple and dark blue, and 3 properties each of light blue, pink, orange, red, yellow, and green. What is the probability of NOT selecting a railroad property from the stack of property cards? Oa \\frac{4}{11} Ob \\frac{1}{7} Oc \\<\/p>\n\n\n\n<p>frac{6}{7} Od \\frac{7}{11}<\/p>\n\n\n\n<p>To solve this problem, we first need to find the total number of property cards in the Monopoly game and determine how many of those are railroad properties.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Count the total number of properties<\/h3>\n\n\n\n<p>From the problem:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Railroads<\/strong>: 4<\/li>\n\n\n\n<li><strong>Utilities<\/strong>: 2<\/li>\n\n\n\n<li><strong>Dark Purple<\/strong>: 2<\/li>\n\n\n\n<li><strong>Dark Blue<\/strong>: 2<\/li>\n\n\n\n<li><strong>Light Blue<\/strong>: 3<\/li>\n\n\n\n<li><strong>Pink<\/strong>: 3<\/li>\n\n\n\n<li><strong>Orange<\/strong>: 3<\/li>\n\n\n\n<li><strong>Red<\/strong>: 3<\/li>\n\n\n\n<li><strong>Yellow<\/strong>: 3<\/li>\n\n\n\n<li><strong>Green<\/strong>: 3<\/li>\n<\/ul>\n\n\n\n<p>Now add all of them together:4&nbsp;(railroads)+2&nbsp;(utilities)+2+2+3+3+3+3+3+3=28&nbsp;total&nbsp;property&nbsp;cards4 \\text{ (railroads)} + 2 \\text{ (utilities)} + 2 + 2 + 3 + 3 + 3 + 3 + 3 + 3 = 28 \\text{ total property cards}4&nbsp;(railroads)+2&nbsp;(utilities)+2+2+3+3+3+3+3+3=28&nbsp;total&nbsp;property&nbsp;cards<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Find how many are <strong>not<\/strong> railroad properties<\/h3>\n\n\n\n<p>28&nbsp;(total)\u22124&nbsp;(railroads)=24&nbsp;(non-railroads)28 \\text{ (total)} &#8211; 4 \\text{ (railroads)} = 24 \\text{ (non-railroads)}28&nbsp;(total)\u22124&nbsp;(railroads)=24&nbsp;(non-railroads)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Find the probability of <strong>not<\/strong> selecting a railroad<\/h3>\n\n\n\n<p>Probability=Number&nbsp;of&nbsp;non-railroad&nbsp;propertiesTotal&nbsp;number&nbsp;of&nbsp;properties=2428=67\\text{Probability} = \\frac{\\text{Number of non-railroad properties}}{\\text{Total number of properties}} = \\frac{24}{28} = \\frac{6}{7}Probability=Total&nbsp;number&nbsp;of&nbsp;propertiesNumber&nbsp;of&nbsp;non-railroad&nbsp;properties\u200b=2824\u200b=76\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p><strong>Option C: 67\\frac{6}{7}76\u200b<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation <\/h3>\n\n\n\n<p>The game of Monopoly includes a variety of property cards which can be grouped by type. Some of the cards represent railroads while others represent utilities and color-coded real estate properties. Understanding the distribution of these cards is crucial to calculating the probability of selecting a specific type of property at random.<\/p>\n\n\n\n<p>First, let&#8217;s determine the total number of property cards. The game features 4 railroad properties. It also includes 2 utility cards\u2014Electric Company and Water Works. The colored property cards are grouped by color sets with varying counts. Dark Purple and Dark Blue sets each contain 2 properties. The remaining color groups\u2014Light Blue, Pink, Orange, Red, Yellow, and Green\u2014each contain 3 properties. Adding all of these gives us a total of 28 property cards in the game.<\/p>\n\n\n\n<p>The question asks for the probability of <strong>not<\/strong> selecting a railroad property. Since 4 of the 28 cards are railroads, the remaining 24 cards are non-railroad properties. The probability of randomly picking a non-railroad card is the number of non-railroad cards divided by the total number of cards. This results in a probability of 24 out of 28, which simplifies to <strong>6 out of 7<\/strong>.<\/p>\n\n\n\n<p>This means that if you were to randomly draw one property card from the stack, there is a high likelihood\u2014about 85.7 percent\u2014that it will <strong>not<\/strong> be a railroad. This makes sense given that only 4 out of 28 cards represent railroads. Therefore, the correct answer is <strong>option C: 67\\frac{6}{7}76\u200b<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1186.jpeg\" alt=\"\" class=\"wp-image-39770\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1186.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1186-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1186-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The game of Monopoly has 4 railroad properties, 2 utility properties, 2 properties each of dark purple and dark blue, and 3 properties each of light blue, pink, orange, red, yellow, and green. What is the probability of NOT selecting a railroad property from the stack of property cards? Oa \\frac{4}{11} Ob \\frac{1}{7} Oc \\ [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-39766","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39766","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=39766"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39766\/revisions"}],"predecessor-version":[{"id":39778,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39766\/revisions\/39778"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=39766"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=39766"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=39766"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}