[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-479672-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-479672-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-relative-frequency-comparison-exercises","Comparing Results with the Known Probability - Relative Frequency Comparison Exercises","","Worksheets and answer key centered on comparing relative frequency from repeated trials with known probabilities. Students analyze outcomes from drawing and replacing tiles and spinning spinners 20 times, then decide whether the observed relative frequency for specified colors is greater than, less than, or the same as the expected probability. Color-based scenarios include black, red, blue, green, purple, and additional spinner colors, with multiple-choice selections supplied in the answer key.",{"@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-relative-frequency-comparison-exercises/479672/",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-relative-frequency-comparison-exercises/479672.png","ImageObject",300,407,{"name":42,"@type":43},"4398046744996","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","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 task do students perform in these probability problems?","Question",{"text":63,"@type":64},"Compare the relative frequency of a specific color’s outcomes to its known probability after repeated trials.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How many trials are used for each scenario?",{"text":68,"@type":64},"Each scenario uses 20 draws/spins.",{"name":70,"@type":61,"acceptedAnswer":71},"How are the answers presented?",{"text":72,"@type":64},"For each scenario, answers are selected from options indicating 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},479672,1792857134,{"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) | A tile was drawn and put back 20 times. Compare the results for black with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn black 4 16 red 1 4\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 blue with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn pink 2 1 blue 4 13 green 4 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 red with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On brown 6 14 red 4 6\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same. | 2) The spinner was spun 20 times. Compare the results for green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On white 1 8 green 4 12\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 blue with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On blue 1 4 white 1 4 pink 3 12\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 purple with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn purple 3 17 white 2 3\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 3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3)[ 3](Math www.CommonCoreSheets.com 3)  \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) | A tile was drawn and put back 20 times. Compare the results for black with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn black 4 16 red 1 4\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 blue with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn pink 2 1 blue 4 13 green 4 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 red with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On brown 6 14 red 4 6\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same. | 2) The spinner was spun 20 times. Compare the results for green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On white 1 8 green 4 12\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 blue with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On blue 1 4 white 1 4 pink 3 12\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 purple with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn purple 3 17 white 2 3\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same. |  |  | 1.  C \u003Cbr>2.  B \u003Cbr>3.  A \u003Cbr>4.  C \u003Cbr>5.  B \u003Cbr>6.","cbCaiuHWIKJR76Po","https://ap.wps.com/l/cbCaiuHWIKJR76Po","pdf",61371,"English","# Compare relative frequency with known probability\n## Tile drawing and replacement scenarios\n## Spinner outcomes scenarios\n## Multiple-choice answer selection","[{\"question\":\"What task do students perform in these probability problems?\",\"answer\":\"Compare the relative frequency of a specific color’s outcomes to its known probability after repeated trials.\"},{\"question\":\"How many trials are used for each scenario?\",\"answer\":\"Each scenario uses 20 draws/spins.\"},{\"question\":\"How are the answers presented?\",\"answer\":\"For each scenario, answers are selected from options indicating whether the relative frequency is greater, less, or the same as the known probability.\"}]","Comparing Results with the Known Probability - Relative Frequency Comparison Exercises | PDF",1790793686]