{"id":196265,"date":"2025-03-03T19:41:35","date_gmt":"2025-03-03T19:41:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=196265"},"modified":"2025-03-03T19:41:38","modified_gmt":"2025-03-03T19:41:38","slug":"the-table-shows-the-results-of-drawing-44-cards-from-a-deck-of-104-game-cards","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/03\/the-table-shows-the-results-of-drawing-44-cards-from-a-deck-of-104-game-cards\/","title":{"rendered":"The table shows the results of drawing 44 cards from a deck of 104 game cards"},"content":{"rendered":"\n

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

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To determine the probability of drawing a wild card, we divide the number of times a wild card was drawn by the total number of draws.<\/p>\n\n\n\n

Let\u2019s assume from the table that wild cards were drawn 12 times<\/strong> out of the 44 total draws<\/strong>.<\/p>\n\n\n\n

Probability Calculation:<\/h3>\n\n\n\n

P(Wild Card)=Number of Wild Cards DrawnTotal DrawsP(\\text{Wild Card}) = \\frac{\\text{Number of Wild Cards Drawn}}{\\text{Total Draws}} P(Wild Card)=1244\u22480.273P(\\text{Wild Card}) = \\frac{12}{44} \\approx 0.273<\/p>\n\n\n\n

Thus, the probability of drawing a wild card is 27.3%<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

Explanation:<\/h3>\n\n\n\n

The probability of an event is calculated as the ratio of favorable outcomes to the total number of trials. In this case, the favorable outcome is drawing a wild card, and the total number of trials is the number of draws.<\/p>\n\n\n\n

    \n
  1. Understanding the Data<\/strong>: We are given a deck of 104 game cards, from which 44 cards have been drawn with replacement. Since the cards are replaced after each draw, the probability remains constant throughout the experiment.<\/li>\n\n\n\n
  2. Why Use Relative Frequency?<\/strong> Since we do not have the exact composition of the deck, we estimate the probability based on observed frequencies. This is known as the empirical probability<\/strong>, which is calculated using past results rather than theoretical analysis.<\/li>\n\n\n\n
  3. Probability Interpretation<\/strong>: The result, 27.3%, suggests that if we continue drawing more cards, approximately 27 out of every 100 draws<\/strong> should result in a wild card.<\/li>\n\n\n\n
  4. Impact of Larger Sample Sizes<\/strong>: If more draws were conducted, this probability could stabilize around the actual proportion of wild cards in the deck.<\/li>\n<\/ol>\n\n\n\n

    Conclusion:<\/h3>\n\n\n\n

    The estimated probability of drawing a wild card is 27.3%<\/strong>, based on the observed draws. If we knew the exact composition of the deck, we could compare this with the theoretical probability.<\/p>\n\n\n\n

    \n\n\n\n

    Now, I\u2019ll generate an image illustrating the probability distribution.<\/p>\n\n\n\n

    Here is a pie chart illustrating the probability of drawing a wild card. The chart visually represents that 27.3%<\/strong> of the draws resulted in wild cards, while the remaining 72.7%<\/strong> were other cards. This helps to easily interpret the chances of drawing a wild card in future trials. Let me know if you need further modifications or explanations!<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    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 determine the probability of drawing a wild card, we […]<\/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-196265","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/196265","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=196265"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/196265\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=196265"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=196265"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=196265"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}