Which of the following describes a simple event?
A. Drawing a three from a deck of cards and rolling 2 on a die
B. Tossing 3 coins and getting tails once
C. Rolling a die and getting a 2
D. Spinning red on a spinner and rolling an odd number on a die<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The correct answer is C. Rolling a die and getting a 2<\/strong>.<\/p>\n\n\n\n In probability theory, a simple event<\/strong> is an event that consists of only one outcome from the sample space of a probability experiment. The sample space is the set of all possible outcomes that can occur during the experiment.<\/p>\n\n\n\n Let’s examine each option:<\/p>\n\n\n\n In conclusion, C<\/strong> is the correct answer because it involves a single outcome (rolling a 2) from the sample space of rolling a die, which makes it a simple event.<\/p>\n","protected":false},"excerpt":{"rendered":" Which of the following describes a simple event?A. Drawing a three from a deck of cards and rolling 2 on a dieB. Tossing 3 coins and getting tails onceC. Rolling a die and getting a 2D. Spinning red on a spinner and rolling an odd number on a die The Correct Answer and Explanation is: […]<\/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-162826","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162826","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=162826"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162826\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162826"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162826"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
\n
This is a compound event<\/strong> because it involves two separate events happening together: drawing a three from a deck of cards and<\/em> rolling a 2 on a die. A compound event consists of more than one simple event occurring at the same time.<\/li>\n\n\n\n
This is also a compound event<\/strong> because tossing three coins creates multiple possible outcomes (e.g., Tails-Tails-Heads, Heads-Tails-Heads, etc.). Getting tails once is just one of many possible outcomes. It requires a combination of individual outcomes from tossing the three coins.<\/li>\n\n\n\n
This is a simple event<\/strong>. The act of rolling a die results in one of the six faces showing up. A simple event is a single outcome from the sample space, and rolling a 2 is a single outcome (one specific result out of the six possible outcomes when a fair die is rolled).<\/li>\n\n\n\n
This is another compound event<\/strong>, as it involves two independent events: spinning a red on a spinner (which could be one of several sections, depending on the spinner’s design) and rolling an odd number on a die. Since both involve multiple outcomes, it cannot be considered a simple event.<\/li>\n<\/ul>\n\n\n\n