{"id":228855,"date":"2025-06-07T17:15:48","date_gmt":"2025-06-07T17:15:48","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228855"},"modified":"2025-06-07T17:15:50","modified_gmt":"2025-06-07T17:15:50","slug":"the-table-shows-the-results-of-drawing-44-cards-from-a-deck-of-104-game-cards-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/the-table-shows-the-results-of-drawing-44-cards-from-a-deck-of-104-game-cards-2\/","title":{"rendered":"The table shows the results of drawing 44 cards from a deck of 104 game cards"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">The table shows the results of drawing 44 cards from a deck of 104 game cards. After each draw, the card is replaced. Based on the results, what is the chance that a draw results in a wild card?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/image-253.png\" alt=\"\" class=\"wp-image-228856\"\/><\/figure>\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-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To find the chance that a draw results in a wild card, we analyze the data provided in the table:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Total draws:<\/strong> 44<\/li>\n\n\n\n<li><strong>Wild card draws:<\/strong> 10<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Calculation:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The probability PPP of drawing a wild card is calculated using:P(wild&nbsp;card)=Number&nbsp;of&nbsp;wild&nbsp;card&nbsp;drawsTotal&nbsp;number&nbsp;of&nbsp;draws=1044P(\\text{wild card}) = \\frac{\\text{Number of wild card draws}}{\\text{Total number of draws}} = \\frac{10}{44}P(wild&nbsp;card)=Total&nbsp;number&nbsp;of&nbsp;drawsNumber&nbsp;of&nbsp;wild&nbsp;card&nbsp;draws\u200b=4410\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Simplify the fraction:1044=522\\frac{10}{44} = \\frac{5}{22}4410\u200b=225\u200b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Correct Answer: <strong>5\/22<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcd8 Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In this problem, you are given the results of an experiment in which cards were drawn 44 times from a deck of 104 cards, with the card replaced after each draw. Replacement ensures that the probability remains constant across all draws, allowing us to use the observed frequencies as a reliable basis for estimating probability.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">There are three types of cards in the table: <strong>wild cards<\/strong>, <strong>number cards<\/strong>, and <strong>penalty cards<\/strong>. The frequencies of each type after 44 draws are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Wild Cards: 10 times<\/li>\n\n\n\n<li>Number Cards: 32 times<\/li>\n\n\n\n<li>Penalty Cards: 2 times<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">To determine the probability of drawing a wild card, divide the number of wild card draws by the total number of draws. This is a simple relative frequency calculation. The formula used is:Probability=Frequency&nbsp;of&nbsp;EventTotal&nbsp;Trials\\text{Probability} = \\frac{\\text{Frequency of Event}}{\\text{Total Trials}}Probability=Total&nbsp;TrialsFrequency&nbsp;of&nbsp;Event\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Here, the event is drawing a wild card, and the total number of trials is the number of total draws (44). Substituting the values:1044=522\\frac{10}{44} = \\frac{5}{22}4410\u200b=225\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This fraction is already in its simplest form, so the final answer is <strong>5\/22<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Even though the original deck has 104 cards, the question is based solely on the results of the experiment (the 44 draws), so the 104 is not directly needed in this probability calculation.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This approach helps students develop an understanding of <strong>empirical probability<\/strong>, which is based on actual experiments or observations, unlike theoretical probability which is based on known possible outcomes.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-638.jpeg\" alt=\"\" class=\"wp-image-228857\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The table shows the results of drawing 44 cards from a deck of 104 game cards. After each draw, the card is replaced. Based on the results, what is the chance that a draw results in a wild card? The Correct Answer and Explanation is: To find the chance that a draw results in a [&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-228855","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228855","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=228855"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228855\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228855"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228855"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228855"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}