[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-479666-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-479666-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","Comparing Results with the Known Probability - Answer Key","","Practice answer key for comparing observed outcomes to known probabilities using spinners and tiles. Students evaluate relative frequency by counting how many times each color appears after 20 spins or 20 tile draws with replacement. For each listed color, the choice is whether the relative frequency is greater than, less than, or the same as the known probability, based on the provided color counts and answer options.",{"@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/479666/",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/479666.png","ImageObject",300,407,{"name":42,"@type":43},"4398046744996","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the worksheet ask students to compare?","Question",{"text":63,"@type":64},"It asks students to compare the relative frequency of each color from trial results with its known probability.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How many trials are used for each spinner or tile experiment?",{"text":68,"@type":64},"Each experiment uses 20 trials, either 20 spinner spins or 20 tile draws with the tile replaced each time.",{"name":70,"@type":61,"acceptedAnswer":71},"What answer choices are used when comparing probabilities?",{"text":72,"@type":64},"The options are whether the relative frequency is greater, less, or the same as 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},479666,1792857136,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"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":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"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":96,"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 green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On yellow 2 8 purple 1 1 green 2 11\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>A tile was drawn and put back 20 times. Compare the results for brown with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn purple 2 9 white 2 7 brown 1 4\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 yellow with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On yellow 2 13 green 2 5 gray 1 2\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 green 2 11 pink 2 3 white 1 6\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>4) The spinner was spun 20 times. Compare the results for green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On yellow 3 12 green 2 8\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 red with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn pink 2 8 black 2 12 red 1 0\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 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \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 green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On yellow 2 8 purple 1 1 green 2 11\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>A tile was drawn and put back 20 times. Compare the results for brown with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn purple 2 9 white 2 7 brown 1 4\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 yellow with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On yellow 2 13 green 2 5 gray 1 2\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 green 2 11 pink 2 3 white 1 6\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>4) The spinner was spun 20 times. Compare the results for green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On yellow 3 12 green 2 8\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 red with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn pink 2 8 black 2 12 red 1 0\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They ","cbCainTUjLGTQtut","https://ap.wps.com/l/cbCainTUjLGTQtut","pdf",61814,"English","# Relative frequency comparison\n## Spinner trials (20 spins)\n## Tile draw trials (20 draws with replacement)","[{\"question\":\"What does the worksheet ask students to compare?\",\"answer\":\"It asks students to compare the relative frequency of each color from trial results with its known probability.\"},{\"question\":\"How many trials are used for each spinner or tile experiment?\",\"answer\":\"Each experiment uses 20 trials, either 20 spinner spins or 20 tile draws with the tile replaced each time.\"},{\"question\":\"What answer choices are used when comparing probabilities?\",\"answer\":\"The options are whether the relative frequency is greater, less, or the same as the known probability.\"}]","Comparing Results with the Known Probability - Answer Key | PDF",1790793675]