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Students analyze results from repeated trials: drawing colored tiles with replacement for brown, green, and blue, and spinning a spinner for blue, purple, and gray. For each scenario, the response selects whether the relative frequency is greater than, less than, or the same as the known probability, based on counts from 20 trials.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/comparing-results-with-the-known-probability-answer-key/479665/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/comparing-results-with-the-known-probability-answer-key/479665.png","ImageObject",300,407,{"name":92,"@type":93},"4398046744996","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the question ask students to compare in each problem?","Question",{"text":112,"@type":113},"Students compare the relative frequency of each color in 20 trials with the color's known probability.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the outcomes generated for the tile problems?",{"text":117,"@type":113},"A tile is drawn and put back, and this is repeated 20 times before comparing relative frequency to the known probability.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the outcomes generated for the spinner problems?",{"text":121,"@type":113},"The spinner is spun 20 times, and the number of landings for each color is used to judge whether the relative frequency is greater, less, or the same as the known probability.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},479665,1792857136,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":66,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":133,"file_id":134,"file_url":135,"file_type":136,"file_size":137,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":138,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":139,"faqs":140,"seo_title":141,"seo_description":67,"update_tm":142,"read_time":39},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) 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 brown 1 10 purple 1 1 black 2 9\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>3) 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 gray 3 14 pink 1 5 green 1 1\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>5) The spinner was spun 20 times. Compare the results for gray with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On gray 2 3 pink 2 12 purple 1 5\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 blue with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On white 1 2 blue 2 8 black 2 10\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 purple with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On purple 1 9 green 1 5 blue 2 6\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 blue with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn blue 1 5 brown 3 15\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 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \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) 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 brown 1 10 purple 1 1 black 2 9\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>3) 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 gray 3 14 pink 1 5 green 1 1\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same.\u003Cbr>5) The spinner was spun 20 times. Compare the results for gray with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On gray 2 3 pink 2 12 purple 1 5\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 blue with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On white 1 2 blue 2 8 black 2 10\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 purple with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On purple 1 9 green 1 5 blue 2 6\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 blue with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn blue 1 5 brown 3 15\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same. |  |  | 1.  A \u003Cbr>2.  C \u003Cbr>3.  B \u003Cbr","cbCaihmOAUKWYEhA","https://ap.wps.com/l/cbCaihmOAUKWYEhA","pdf",61967,"English","# Comparing Results with the Known Probability - Answer Key\n## Tile drawing scenarios (replacement)\n## Spinner scenarios","[{\"question\":\"What does the question ask students to compare in each problem?\",\"answer\":\"Students compare the relative frequency of each color in 20 trials with the color's known probability.\"},{\"question\":\"How are the outcomes generated for the tile problems?\",\"answer\":\"A tile is drawn and put back, and this is repeated 20 times before comparing relative frequency to the known probability.\"},{\"question\":\"How are the outcomes generated for the spinner problems?\",\"answer\":\"The spinner is spun 20 times, and the number of landings for each color is used to judge whether the relative frequency is greater, less, or the same as the known probability.\"}]","Comparing Results with the Known Probability - Answer Key | PDF",1790793675]