[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-479677-105":3,"detail-sidebar-cat-0-en-105":84,"doc-detail-479677-en":134},{"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":77,"head_meta":79,"extra_data":81,"updated_unix":83},105,"en","comparing-results-with-the-known-probability-answer-key-479677","Comparing Results with the Known Probability - Answer Key","","Worksheet answer key focused on comparing observed relative frequencies of colors to known probabilities after repeated trials. For spinner outcomes, it uses 20 spins and asks whether the observed relative frequency for each listed color is greater than, less than, or the same as its known probability. For tile outcomes, it uses 20 draws with replacement and asks the same comparison for specified colors, providing the selected correct option for each numbered question.",{"@graph":14,"@context":76},[15,34,55],{"@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-479677/479677/",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-479677/479677.png","ImageObject",300,407,{"name":42,"@type":43},"4398046744996","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68,72],{"name":59,"@type":60,"acceptedAnswer":61},"What comparison is required between observed results and known probability?","Question",{"text":62,"@type":63},"For each color, decide whether its relative frequency is greater than, less than, or the same as the known probability.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How many trials are used for the spinner questions?",{"text":67,"@type":63},"Each spinner scenario uses 20 spins.",{"name":69,"@type":60,"acceptedAnswer":70},"How many trials are used for the tile questions, and is replacement used?",{"text":71,"@type":63},"Each tile scenario uses 20 draws, with the tile put back each time (replacement).",{"name":73,"@type":60,"acceptedAnswer":74},"Where can the correct choices be found for each numbered item?",{"text":75,"@type":63},"The correct options are listed in the answer key section alongside the numbered questions.","https://schema.org",{"og:url":32,"og:type":78,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":80,"canonical":32},"index,follow",{"doc_id":82,"site_id":7},479677,1792977991,{"code":4,"msg":85,"data":86},"success",[87,91,95,98,103,108,113,118,123,126,130],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":92,"show_sort_weight":93,"slug":94},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":96,"slug":97},70,"exam",{"id":99,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},5,"Comic",60,"comic",{"id":104,"doc_module":4,"doc_module_name":25,"category_name":105,"show_sort_weight":106,"slug":107},6,"Technology",50,"technology",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},7,"Healthcare",40,"healthcare",{"id":114,"doc_module":4,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},8,"Research & Report",30,"research-report",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":121,"slug":122},9,"Religion & Spirituality",20,"religion-spirituality",{"id":121,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":121,"slug":125},"World Cup","world-cup",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":127,"slug":129},10,"Lifestyle","lifestyle",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":132,"show_sort_weight":99,"slug":133},19,"General","general",{"code":4,"msg":85,"data":135},{"doc_id":82,"user_id":136,"nickname":42,"user_avatar":11,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":137,"file_id":138,"file_url":139,"file_type":140,"file_size":141,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":142,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":143,"faqs":144,"seo_title":145,"seo_description":12,"update_tm":146,"read_time":114},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 black with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On purple 4 7 gray 2 5 black 4 8\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 green with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On red 2 12 gray 1 7 green 1 1\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 pink 3 6 brown 5 10 yellow 2 4\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 purple with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn purple 8 19 white 2 1\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 brown with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn white 3 5 brown 4 6 green 3 9\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>6) The spinner was spun 20 times. Compare the results for blue with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On gray 2 6 purple 2 8 blue 1 6\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 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \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 black with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On purple 4 7 gray 2 5 black 4 8\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 green with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On red 2 12 gray 1 7 green 1 1\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 pink 3 6 brown 5 10 yellow 2 4\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 purple with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn purple 8 19 white 2 1\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 brown with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn white 3 5 brown 4 6 green 3 9\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>6) The spinner was spun 20 times. Compare the results for blue with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On gray 2 6 purple 2 8 blue 1 6\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are th","cbCainOMawhVEjo4","https://ap.wps.com/l/cbCainOMawhVEjo4","pdf",61906,"English","# Compare relative frequency with known probability","[{\"question\":\"What comparison is required between observed results and known probability?\",\"answer\":\"For each color, decide whether its relative frequency is greater than, less than, or the same as the known probability.\"},{\"question\":\"How many trials are used for the spinner questions?\",\"answer\":\"Each spinner scenario uses 20 spins.\"},{\"question\":\"How many trials are used for the tile questions, and is replacement used?\",\"answer\":\"Each tile scenario uses 20 draws, with the tile put back each time (replacement).\"},{\"question\":\"Where can the correct choices be found for each numbered item?\",\"answer\":\"The correct options are listed in the answer key section alongside the numbered questions.\"}]","Comparing Results with the Known Probability - Answer Key | PDF",1790793693]