[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-479750-105":59,"doc-detail-479750-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","describing-probability-impossible-to-certain-answer-key-479750","Describing Probability (Impossible to Certain) - Answer Key","","Answer key for a probability worksheet focused on classifying events as impossible, unlikely, equally likely, likely, or certain. Fifteen item scenarios involve drawing or selecting objects without looking from containers such as drawers, bags, bowls, decks of cards, coolers, and baskets. Each problem specifies quantities of items (e.g., pencils, marbles, grapes, cards, socks, fruit, and juice boxes) and requires determining the likelihood of an event based on the given counts and the absence of other items.",{"@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/describing-probability-impossible-to-certain-answer-key-479750/479750/",{"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/describing-probability-impossible-to-certain-answer-key-479750/479750.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":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide whether an event is impossible or certain?","Question",{"text":112,"@type":113},"Use the object counts given in each scenario. If the desired outcome has zero chances (no matching items), it is impossible; if all possible outcomes are the desired one, it is certain.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does equally likely mean in these problems?",{"text":117,"@type":113},"Equally likely means the desired outcome and the alternative(s) have the same probability based on equal counts and no extra options.",{"name":119,"@type":110,"acceptedAnswer":120},"Why does the worksheet say “without looking”?",{"text":121,"@type":113},"It indicates a random selection, so the likelihood depends only on the number of matching items in the container relative to all possible items.","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},479750,1792846334,{"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":24,"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,"Describing Probability (Impossible to Certain)  \nName:  \n\n| Determine whether each event is impossible, unlikely, equally likely, likely or certain.\u003Cbr>1) A drawer has 12 short pencils and 12 long pencils. A student grabs one pencil without looking. How likely is it that the student grabs a short pencil?\u003Cbr>2) A bag contains 17 red marbles and no other marbles. Frank picks one marble without looking. How likely is it that he picks a red marble?\u003Cbr>3) A bowl holds 8 green grapes and 3 red grapes. Oliver takes one grape without looking. How likely is it that he takes a green grape?\u003Cbr>4) A deck has 14 number cards and 6 picture cards. Maria draws one card without looking. How likely is it that she draws a number card?\u003Cbr>5) A cooler holds 6 bottles of water and 9 bottles of juice. Adam grabs one bottle without looking. How likely is it that he grabs a water bottle?\u003Cbr>6) A bag holds 12 striped marbles and 6 plain marbles. Amy picks one marble without looking. How likely is it that she picks a striped marble?\u003Cbr>7) A box contains 9 nickels and 6 dimes and no other coins. Sam picks one coin without looking. How likely is it that he picks a quarter?\u003Cbr>8) A drawer contains 5 pairs of blue mittens and 12 pairs of red mittens. Carol takes one pair without looking. How likely is it that she takes blue mittens?\u003Cbr>9) A spinner has 10 red sections and 10 blue sections, all equal in size. How likely is it that the spinner lands on red?\u003Cbr>10) A drawer has 12 blue crayons and 11 green crayons. Will pulls out one crayon without looking. How likely is it that he pulls a purple crayon?\u003Cbr>11) A deck has 11 star cards and 11 moon cards. Robin draws one card without looking. How likely is it that she draws a star card?\u003Cbr>12) A cooler holds 6 apple juice boxes and 6 grape juice boxes. A camper grabs one juice box without looking. How likely is it that the camper grabs a grape juice box?\u003Cbr>13) A cooler holds 13 apple juice boxes and 13 grape juice boxes. Henry grabs one juice box without looking. How likely is it that he grabs a grape juice box?\u003Cbr>14) A box has 6 white socks and 9 black socks. Roger grabs one sock without looking. How likely is it that he grabs a white sock?\u003Cbr>15) A basket contains 10 apples and 14 oranges. Haley pulls out one piece of fruit without looking. How likely is it that she pulls out a banana? |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>\u003Cbr>Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>6\u003Cbr>1-10\u003Cbr>11-15 | 93 | 87 | 80 |  | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  | 27 | 20 | 13 |  | 7 | 0 |  |  |  |  |  |\n\nDescribing Probability (Impossible to Certain)  \nName: Answer Key  \n\n| Determine whether each event is impossible, unlikely, equally likely, likely or certain.\u003Cbr>1) A drawer has 12 short pencils and 12 long pencils. A student grabs one pencil without looking. How likely is it that the student grabs a short pencil? |  |  |  |  | Answers\u003Cbr>1.  equally likely  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A bag contains 17 red marbles and no other marbles. Frank picks one marble without looking. How likely is it that he picks a red marble? |  |  |  | 2.  certain \u003Cbr>3. likely |  |  |  |  |  |  |  |\n| 3) | A bowl holds 8 green grapes and 3 red grapes. Oliver takes one grape without looking. How likely is it that he takes a green grape? |  |  |  | 4.  likely  |  |  |  |  |  |  |  |\n| 4) | A deck has 14 number cards and 6 picture cards. Maria draws one card without looking. How likely is it that she draws a number card? |  |  |  | 5.  unlikely  |  |  |  |  |  |  |  |\n| 5) | A cooler holds 6 bottles of water and 9 bottles of juice. Adam grabs one bottle without looking. How likely is it that he grabs a water bottle? |  |  |  | 6.  likely \u003C","cbCaintABZFSlxxn","https://ap.wps.com/l/cbCaintABZFSlxxn","pdf",44615,"English","# Determine Event Likelihood\n## Impossible, Unlikely, Equally Likely, Likely or Certain","[{\"question\":\"How do you decide whether an event is impossible or certain?\",\"answer\":\"Use the object counts given in each scenario. If the desired outcome has zero chances (no matching items), it is impossible; if all possible outcomes are the desired one, it is certain.\"},{\"question\":\"What does equally likely mean in these problems?\",\"answer\":\"Equally likely means the desired outcome and the alternative(s) have the same probability based on equal counts and no extra options.\"},{\"question\":\"Why does the worksheet say “without looking”?\",\"answer\":\"It indicates a random selection, so the likelihood depends only on the number of matching items in the container relative to all possible items.\"}]","Describing Probability (Impossible to Certain) - Answer Key | PDF",1790793815]