[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-479680-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-479680-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","comparing-results-with-the-known-probability-answer-key-479680","Comparing Results with the Known Probability - Answer Key","","Answer key for a worksheet on comparing experimental relative frequencies to known probabilities using color spinners and tiles. It includes scenarios where a spinner is spun 20 times and a tile is drawn with replacement 20 times, then asks whether each color’s observed relative frequency is greater than, less than, or the same as its known probability. The provided selections list the correct letter answers for items 1 through 6.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/comparing-results-with-the-known-probability-answer-key-479680/479680/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/comparing-results-with-the-known-probability-answer-key-479680/479680.png","ImageObject",300,407,{"name":42,"@type":43},"4398046744996","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the worksheet compare when using the spinner or tiles?","Question",{"text":63,"@type":64},"It compares each color’s relative frequency from the trials with that color’s known probability.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How many times are the spinner and tile trials performed?",{"text":68,"@type":64},"Both are performed 20 times, with the tile drawn and replaced each time.",{"name":70,"@type":61,"acceptedAnswer":71},"What answer choices are used to judge the results?",{"text":72,"@type":64},"The worksheet asks whether the relative frequency is greater, less, or the same compared with the known probability.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},479680,1792977807,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":55,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":11,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":133,"file_id":134,"file_url":135,"file_type":136,"file_size":137,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":138,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":139,"faqs":140,"seo_title":141,"seo_description":12,"update_tm":142,"read_time":110},4398046744996,"Comparing Results with the Known Probability  \nName:  \n\n| Compare the relative frequency of each color with its known probability. |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | The spinner was spun 20 times. Compare the results for yellow with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On yellow 1 0 blue 3 20\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>The spinner was spun 20 times. Compare the results for blue with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On gray 1 4 blue 2 10 yellow 1 6\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>The spinner was spun 20 times. Compare the results for pink with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On blue 2 12 pink 2 8\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same. | 2) A tile was drawn and put back 20 times. Compare the results for pink with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn blue 2 5 pink 3 15\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>4) A tile was drawn and put back 20 times. Compare the results for green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn white 5 7 green 2 9 brown 3 4\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>6) A tile was drawn and put back 20 times. Compare the results for green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn white 2 7 green 1 4 gray 2 9\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same. |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |\n| 1-6 |  |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \nComparing Results with the Known Probability  \nName: Answer Key  \n\n| Compare the relative frequency of each color with its known probability. |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | The spinner was spun 20 times. Compare the results for yellow with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On yellow 1 0 blue 3 20\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>The spinner was spun 20 times. Compare the results for blue with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On gray 1 4 blue 2 10 yellow 1 6\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>The spinner was spun 20 times. Compare the results for pink with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On blue 2 12 pink 2 8\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same. | 2) A tile was drawn and put back 20 times. Compare the results for pink with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn blue 2 5 pink 3 15\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>4) A tile was drawn and put back 20 times. Compare the results for green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn white 5 7 green 2 9 brown 3 4\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>6) A tile was drawn and put back 20 times. Compare the results for green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn white 2 7 green 1 4 gray 2 9\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same. |  |  | 1.  B \u003Cbr>2.  A \u003Cbr>3.  C ","cbCaicUJRUwR05nb","https://ap.wps.com/l/cbCaicUJRUwR05nb","pdf",61495,"English","# Comparing Relative Frequency With Known Probability\n## Spinner trials (20 spins)\n## Tile trials with replacement (20 draws)","[{\"question\":\"What does the worksheet compare when using the spinner or tiles?\",\"answer\":\"It compares each color’s relative frequency from the trials with that color’s known probability.\"},{\"question\":\"How many times are the spinner and tile trials performed?\",\"answer\":\"Both are performed 20 times, with the tile drawn and replaced each time.\"},{\"question\":\"What answer choices are used to judge the results?\",\"answer\":\"The worksheet asks whether the relative frequency is greater, less, or the same compared with the known probability.\"}]","Comparing Results with the Known Probability - Answer Key | PDF",1790793696]