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Students evaluate outcomes from drawing colored tiles and from spinning a spinner, each repeated 20 times. For each color (e.g., black, red, yellow, gray), the tasks require deciding whether the observed relative frequency is greater, less, or the same as the known probability, then matching the correct choice shown in the answer key.",{"@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-479671/479671/",{"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-479671/479671.png","ImageObject",300,407,{"name":92,"@type":93},"4398046744996","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is being compared in this worksheet?","Question",{"text":112,"@type":113},"The worksheet compares each color’s relative frequency from repeated trials with its known probability.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many times are the experiments repeated for each question?",{"text":117,"@type":113},"Each experiment is repeated 20 times, whether drawing tiles or spinning the spinner.",{"name":119,"@type":110,"acceptedAnswer":120},"What choices do students make for each color?",{"text":121,"@type":113},"Students choose whether the relative frequency is greater than, less than, 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},479671,1792878568,{"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":19,"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 black with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn white 4 9 brown 3 8 black 3 3\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 red with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn brown 2 9 white 1 4 red 1 7\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 3 1 yellow 7 19\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 yellow with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On brown 3 6 yellow 7 14\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 red with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On gray 2 8 yellow 1 0 red 2 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 red with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn red 2 4 white 6 9 green 2 7\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 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2)  \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 black with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn white 4 9 brown 3 8 black 3 3\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 red with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn brown 2 9 white 1 4 red 1 7\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 3 1 yellow 7 19\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 yellow with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On brown 3 6 yellow 7 14\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 red with its known\u003Cbr>probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On gray 2 8 yellow 1 0 red 2 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 red with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn red 2 4 white 6 9 green 2 7\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same. |  |  | 1.  B \u003Cbr>2.  C \u003Cbr>3.  A \u003Cbr>4.  A \u003Cbr>5.  B \u003Cbr>6.  C  ","cbCaivW9LIjkpCCx","https://ap.wps.com/l/cbCaivW9LIjkpCCx","pdf",61577,"English","# Comparing Results with the Known Probability\n## Tile draws: black, red\n## Spinner spins: yellow, gray, red","[{\"question\":\"What is being compared in this worksheet?\",\"answer\":\"The worksheet compares each color’s relative frequency from repeated trials with its known probability.\"},{\"question\":\"How many times are the experiments repeated for each question?\",\"answer\":\"Each experiment is repeated 20 times, whether drawing tiles or spinning the spinner.\"},{\"question\":\"What choices do students make for each color?\",\"answer\":\"Students choose whether the relative frequency is greater than, less than, or the same as the known probability.\"}]","Comparing Results with the Known Probability - Answer Key | PDF",1790793686]