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It includes multiple scenarios where a tile is drawn and replaced 20 times or a spinner is spun 20 times. For each specified color, the expected decision is provided among three choices: the relative frequency is greater than, less than, or the same as the known probability. Coverage includes several color comparisons such as white, yellow, black, green, pink, purple, brown, and gray.",{"@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-479670/479670/",{"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-479670/479670.png","ImageObject",300,407,{"name":92,"@type":93},"4398046744996","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","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 worksheet compare in each problem?","Question",{"text":112,"@type":113},"Each problem compares the relative frequency of a color observed in 20 trials with the color’s known probability.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the trials performed in the problems?",{"text":117,"@type":113},"Some problems use a tile drawn and put back 20 times, while others use a spinner spun 20 times.",{"name":119,"@type":110,"acceptedAnswer":120},"What answer options are used for each color comparison?",{"text":121,"@type":113},"The choices are 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},479670,1792857138,{"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)\u003Cbr>3)\u003Cbr>5) | A tile was drawn and put back 20 times. Compare the results for white with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn yellow 1 5 white 1 8 brown 2 7\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 probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On yellow 1 4 green 1 5 pink 3 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 purple with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn yellow 2 10 purple 3 10\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 black with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On red 2 13 black 2 7\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 green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn green 1 2 gray 4 9 brown 5 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 yellow with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On brown 3 11 purple 1 2 yellow 1 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\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \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 white with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn yellow 1 5 white 1 8 brown 2 7\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 probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On yellow 1 4 green 1 5 pink 3 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 purple with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn yellow 2 10 purple 3 10\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 black with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On red 2 13 black 2 7\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 green with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Tiles \u003Cbr>Times Drawn green 1 2 gray 4 9 brown 5 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 yellow with its known probability.\u003Cbr>\u003Cbr>Color \u003Cbr>Sections \u003Cbr>Times Landed On brown 3 11 purple 1 2 yellow 1 7\u003Cbr>A. The relative frequency is greater.\u003Cbr>B. The relative frequency is less.\u003Cbr>C. They are the same. |  |  | 1.  A \u003Cbr>2.  B \u003Cbr>3.  C \u003Cbr>4.  C \u003Cbr>5.  B \u003Cbr>6.  A  |  |  |  |","cbCaik9NjaZCAFOa","https://ap.wps.com/l/cbCaik9NjaZCAFOa","pdf",61633,"English","# Comparing Results with the Known Probability\n## Tile Draw and Replace (20 times)\n## Spinner Spins (20 times)\n## Answer Choices (greater, less, same)","[{\"question\":\"What does the worksheet compare in each problem?\",\"answer\":\"Each problem compares the relative frequency of a color observed in 20 trials with the color’s known probability.\"},{\"question\":\"How are the trials performed in the problems?\",\"answer\":\"Some problems use a tile drawn and put back 20 times, while others use a spinner spun 20 times.\"},{\"question\":\"What answer options are used for each color comparison?\",\"answer\":\"The choices are whether the relative frequency is greater, less, or the same as the known probability.\"}]","Comparing Results with the Known Probability - Answer Key | PDF",1790793685]