A standard 52-card deck has four 13-card suits: diamonds, hearts, clubs, and spades. The diamonds and hearts are red, and the clubs and spades are black. Each 13-card suit contains cards numbered from 2 to 10, a jack, a queen, a king, and an ace. An experiment consists of drawing 1 card from the standard deck. Find the probability of drawing a black nine of diamonds.
The probability of choosing a black nine of diamonds is (Type an integer or a simplified fraction.)<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n To find the probability of drawing a black nine of diamonds<\/strong> from a standard 52-card deck, we need to first understand what this means.<\/p>\n\n\n\n A standard deck of 52 cards has:<\/p>\n\n\n\n You are asked for the probability of drawing a black nine of diamonds<\/strong>.<\/p>\n\n\n\n So, the nine of diamonds<\/strong> is a red card<\/strong>.<\/p>\n\n\n\n This means that a black nine of diamonds<\/strong> does not exist<\/strong> in a standard 52-card deck.<\/p>\n\n\n\n Since such a card does not exist in the deck, there are zero favorable outcomes<\/strong> for drawing a black nine of diamonds.<\/p>\n\n\n\n [ Probability is the measure of the likelihood that an event will occur, expressed as a fraction: In this experiment, one card is drawn at random from a standard deck of 52 cards. The suits are diamonds, hearts, clubs, and spades, each with 13 cards. Among these, diamonds and hearts are red, while clubs and spades are black.<\/p>\n\n\n\n We are asked to find the probability of drawing a black nine of diamonds<\/strong>. To determine this, we first analyze whether such a card even exists.<\/p>\n\n\n\n Saying “black nine of diamonds” is a contradiction\u2014like asking for a square circle. The card does not exist in the deck. Because of this, there are zero favorable outcomes<\/strong> for the event. There are still 52 possible outcomes since any one of the 52 cards might be drawn.<\/p>\n\n\n\n This leads to: Hence, the probability of drawing a black nine of diamonds is 0<\/strong> because such a card is not part of the standard deck.<\/p>\n","protected":false},"excerpt":{"rendered":" A standard 52-card deck has four 13-card suits: diamonds, hearts, clubs, and spades. The diamonds and hearts are red, and the clubs and spades are black. Each 13-card suit contains cards numbered from 2 to 10, a jack, a queen, a king, and an ace. An experiment consists of drawing 1 card from the standard […]<\/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-210704","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/210704","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=210704"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/210704\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=210704"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=210704"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=210704"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understand the deck<\/h3>\n\n\n\n
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Step 2: Analyze the card in question<\/h3>\n\n\n\n
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Step 3: Conclusion<\/h3>\n\n\n\n
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Final Answer:<\/h3>\n\n\n\n
\\text{Probability} = \\frac{\\text{favorable outcomes}}{\\text{total outcomes}} = \\frac{0}{52} = 0
]<\/p>\n\n\n\n
\n\n\n\nDetailed Explanation (300+ words):<\/h3>\n\n\n\n
[
\\text{Probability} = \\frac{\\text{Number of favorable outcomes}}{\\text{Total number of possible outcomes}}
]<\/p>\n\n\n\n\n
[
\\text{Probability} = \\frac{0}{52} = 0
]<\/p>\n\n\n\n