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Problems cover pegs, scooped balls, cubes, and a final ball-draw scenario, asking for expected counts based on given category numbers and actual counts based on observed results.",{"@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/479688/",{"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/479688.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":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What do the problems ask you to find?","Question",{"text":112,"@type":113},"For each scenario, determine how many times each color should have come up (expected) and how many times it actually did based on the tally marks.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many trials are used in each question?",{"text":117,"@type":113},"Each item uses 20 draws/trials as stated in the problem instructions.",{"name":119,"@type":110,"acceptedAnswer":120},"Where do the “actual” results come from?",{"text":121,"@type":113},"The actual results come from counting the tally marks shown for each color.","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},479688,1792857912,{"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":44,"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 peg was drawn from the bin and put back 20 times. Use the number of pegs to work out how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Pegs \u003Cbr>Results yellow 2 red 1 | 1.\u003Cbr>2.\u003Cbr>3. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n| purple 2 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A ball was scooped from the bin and dropped back 20 times. Use the number of balls to work out how many times green should have come up, then count the tally marks to see how many times it did.\u003Cbr>| 4. |  |\n|  |  |  |\n| brown 4 yellow 3 green 3 \u003Cbr>\u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>3) A cube was pulled from the bag and put back 20 times. Use the number of cubes to work out how many times pink should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Cubes \u003Cbr>Results |  |  |\n| pink 3 \u003Cbr>\u003Cbr>\u003Cbr>red 1 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) A ball was drawn and put back 20 times. Use the number of balls to work out how many times gray should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Balls \u003Cbr>Results red 2 gray 4 pink 4 \u003Cbr>Should have come up:   Actually came up:   |  |  |\n| 4 |  | 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 peg was drawn from the bin and put back 20 times. Use the number of pegs to work out how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Pegs \u003Cbr>Results | 1.\u003Cbr>2. | 8, 12 |\n|  |  | 6, 2 |\n|  |  |  |\n| yellow 2 \u003Cbr>red 1 purple 2 \u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A ball was scooped from the bin and dropped back 20 times. Use the number of balls to work out how many times green should have come up, then count the tally marks to see how many times it did.\u003Cbr>| 3.\u003Cbr>4. | 15, 18 |\n|  |  | 8, 9 |\n|  |  |  |\n| brown 4 yellow 3 green 3 \u003Cbr>\u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>3) A cube was pulled from the bag and put back 20 times. Use the number of cubes to work out how many times pink should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Cubes \u003Cbr>Results |  |  |\n| pink 3 \u003Cbr>\u003Cbr>\u003Cbr>red 1 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>4) A ball was drawn and put back 20 times. Use the number of balls to work out how many times gray should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Balls \u003Cbr>Results red 2 gray 4 pink 4 \u003Cbr>Should have come up:   Actually came up:   |  |  |\n| 4 |  | 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 peg was drawn from the bin and put back 20 times. Use the number of pegs to work out how many times yellow should have come up, then count the tally marks to see how many times it did.\u003Cbr>\u003Cbr>Color \u003Cbr>Pegs \u003Cbr>Results yellow 2 red 1 | 1.\u003Cbr>2.\u003Cbr>3. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n| purple 2 \u003Cbr>Should have come up:   Actually came up:  \u003Cbr>2) A ball was scooped from the bin and dropped back 20 times. Use the number of balls to work out how many times green should have come up, then count the tally marks to see how many times it did.\u003Cbr>| 4. |  |\n|  |  |  |\n| brown 4 yellow 3 green 3 \u003Cbr>\u003Cbr>\u003Cbr>Should have come up:   Actually came up:  \u003Cbr>3) A cube was pulled from the bag and put back 20 times. Use the number of cubes to work out how many times pink should have come up, then count the t","cbCais2cZu6ZE8SN","https://ap.wps.com/l/cbCais2cZu6ZE8SN","pdf",63653,"English","# Expected and Actual Results\n## Peg draw from the bin (20 times)\n## Ball scooped from the bin (20 times)\n## Cube pulled from the bag (20 times)\n## Ball drawn from the bin (20 times)","[{\"question\":\"What do the problems ask you to find?\",\"answer\":\"For each scenario, determine how many times each color should have come up (expected) and how many times it actually did based on the tally marks.\"},{\"question\":\"How many trials are used in each question?\",\"answer\":\"Each item uses 20 draws/trials as stated in the problem instructions.\"},{\"question\":\"Where do the “actual” results come from?\",\"answer\":\"The actual results come from counting the tally marks shown for each color.\"}]","Expected and Actual Results - Answer Key - Math | PDF",1790793707]