{"id":214111,"date":"2025-05-13T13:31:34","date_gmt":"2025-05-13T13:31:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=214111"},"modified":"2025-05-13T13:31:36","modified_gmt":"2025-05-13T13:31:36","slug":"which-of-the-following-is-not-a-principle-of-probability-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/13\/which-of-the-following-is-not-a-principle-of-probability-2\/","title":{"rendered":"Which of the following is NOT a principle of probability"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Which of the following is NOT a principle of probability? Choose the correct answer below:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. The probability of an impossible event is 0.<br>B. The probability of an event that is certain to occur is 1.<br>C. The probability of any event is between 0 and 1 inclusive.<br>D. All events are equally likely in any probability procedure.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer is Explanation<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The correct answer is <strong>D. All events are equally likely in any probability procedure.<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In probability theory, there are several key principles that govern the likelihood of events happening. Let\u2019s break down each option to understand why <strong>D<\/strong> is the correct answer:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>A. The probability of an impossible event is 0.<\/strong>\n<ul class=\"wp-block-list\">\n<li>This is a fundamental principle of probability. If an event cannot possibly occur, such as drawing a red card from a deck of only black cards, the probability of that event is 0. Probability ranges from 0 (impossible event) to 1 (certain event).<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>B. The probability of an event that is certain to occur is 1.<\/strong>\n<ul class=\"wp-block-list\">\n<li>This is another core principle. If an event is certain to happen, such as rolling a number between 1 and 6 on a standard die, the probability is 1. Probability ranges between 0 and 1, and 1 represents certainty.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>C. The probability of any event is between 0 and 1 inclusive.<\/strong>\n<ul class=\"wp-block-list\">\n<li>This is a basic and true rule in probability. The probability of any event must be a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>D. All events are equally likely in any probability procedure.<\/strong>\n<ul class=\"wp-block-list\">\n<li>This statement is <strong>NOT<\/strong> a principle of probability. In most situations, events are <strong>not<\/strong> equally likely. For example, in a deck of cards, the probability of drawing a red card is different from drawing a black card because the deck contains more black cards than red ones. In certain probability problems, events may be equally likely, but this is not a general rule that applies to all probability procedures. Events can have different probabilities depending on the specific context.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">While the first three statements represent fundamental principles of probability, <strong>D<\/strong> is incorrect because it assumes that all events are equally likely, which is not always the case in probability theory.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following is NOT a principle of probability? Choose the correct answer below: A. The probability of an impossible event is 0.B. The probability of an event that is certain to occur is 1.C. The probability of any event is between 0 and 1 inclusive.D. All events are equally likely in any probability [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-214111","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/214111","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=214111"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/214111\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=214111"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=214111"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=214111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}