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For each item type—ribbons, buttons, tokens, and cubes—the instructions use the count of items to determine how many times a specified color should appear, then provide the “Actually came up” tally to compare against. Includes the expected-versus-actual pairs and shows final answer values for questions 1 through 4.",{"@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/expected-and-actual-results-answer-key-math/479692/",{"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/expected-and-actual-results-answer-key-math/479692.png","ImageObject",300,407,{"name":92,"@type":93},"4398046744996","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","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 “Expected and Actual Results” mean in this worksheet?","Question",{"text":112,"@type":113},"Students compute how many times a color should appear (“Should have come up”) based on the given counts, then compare it to what happens in the simulation (“Actually came up”).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the expected counts found for ribbons, buttons, tokens, and cubes?",{"text":117,"@type":113},"Use the number of items of each color to determine the expected frequency, then apply that reasoning to the 20 draws described in each question.",{"name":119,"@type":110,"acceptedAnswer":120},"What information is given in the answer key?",{"text":121,"@type":113},"For each problem (1 to 4), it lists the paired values for “Should have come up” and “Actually came up,” including the expected counts and the actual tally results.","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},479692,1792870968,{"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,"Expected and Actual Results  \nName:  \n\n| Find how many times the color was expected and how many times it happened.\u003Cbr>1) A ribbon was drawn and put back 20 times. Use the number of ribbons to workout how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Ribbons \u003Cbr>Results yellow 1 blue 3 \u003Cbr>\u003Cbr>\u003Cbr>| 1.\u003Cbr>2.\u003Cbr>3. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n| Should have come up:   Actually came up:  \u003Cbr>2) A button was drawn and put back 20 times. Use the number of buttons to workout how many times pink should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Buttons \u003Cbr>Results blue 2 pink 3 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>3) A token was drawn and put back 20 times. Use the number of tokens to workout how many times blue should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Tokens \u003Cbr>Results gray 1 blue 2 yellow 1\u003Cbr>\u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) A cube was drawn and put back 20 times. Use the number of cubes to work out how many times green should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Cubes \u003Cbr>Results white 5 green 2 brown 3 \u003Cbr>Should have come up:   Actually came up:   | 4. |  |\n|  |  |  |\n| 7 |  | 1-4  75  50  25  0  |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nExpected and Actual Results  \nName: Answer Key  \n\n| Find how many times the color was expected and how many times it happened. |  | Answers |\n| --- | --- | --- |\n| 1) A ribbon was drawn and put back 20 times. Use the number of ribbons to workout how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Ribbons \u003Cbr>Results yellow 1 blue 3 \u003Cbr>\u003Cbr>\u003Cbr>| 1. | 5, 3 |\n|  |  |  |\n|  | 2. | 12, 13 |\n|  |  |  |\n|  | 3. | 10, 10 |\n|  |  |  |\n| Should have come up:   Actually came up:  \u003Cbr>2) A button was drawn and put back 20 times. Use the number of buttons to workout how many times pink should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Buttons \u003Cbr>Results blue 2 pink 3 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>3) A token was drawn and put back 20 times. Use the number of tokens to workout how many times blue should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Tokens \u003Cbr>Results gray 1 blue 2 yellow 1\u003Cbr>\u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) A cube was drawn and put back 20 times. Use the number of cubes to work out how many times green should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Cubes \u003Cbr>Results white 5 green 2 brown 3 \u003Cbr>Should have come up:   Actually came up:   | 4. | 4, 3 |\n|  |  |  |\n| 7 |  | 1-4  75  50  25  0  |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nExpected and Actual Results  \nName:  \n\n| Find how many times the color was expected and how many times it happened.\u003Cbr>1) A ribbon was drawn and put back 20 times. Use the number of ribbons to workout how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Ribbons \u003Cbr>Results yellow 1 blue 3 \u003Cbr>\u003Cbr>\u003Cbr>| 1.\u003Cbr>2.\u003Cbr>3. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n| Should have come up:   Actually came up:  \u003Cbr>2) A button was drawn and put back 20 times. Use the number of buttons to workout how many times pink should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Buttons \u003Cbr>Results blue 2 pink 3 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>3) A token was drawn and put back 20 times. Use the number of tokens to workout how many times blue should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Tokens \u003Cbr>Results gray 1 blue 2 yel","cbCaii604QZpXBCI","https://ap.wps.com/l/cbCaii604QZpXBCI","pdf",64479,"English","# Expected and Actual Results\n## Ribbons\n## Buttons\n## Tokens\n## Cubes\n## Answer Key","[{\"question\":\"What does “Expected and Actual Results” mean in this worksheet?\",\"answer\":\"Students compute how many times a color should appear (“Should have come up”) based on the given counts, then compare it to what happens in the simulation (“Actually came up”).\"},{\"question\":\"How are the expected counts found for ribbons, buttons, tokens, and cubes?\",\"answer\":\"Use the number of items of each color to determine the expected frequency, then apply that reasoning to the 20 draws described in each question.\"},{\"question\":\"What information is given in the answer key?\",\"answer\":\"For each problem (1 to 4), it lists the paired values for “Should have come up” and “Actually came up,” including the expected counts and the actual tally results.\"}]","Expected and Actual Results - Answer Key - Math | PDF",1790793718]