[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-637979-105":59,"doc-detail-637979-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","ratio-probability-problems-1-write-answers-and-probabilities-as-fractions","RATIO & PROBABILITY PROBLEMS 1 - Write answers and probabilities as fractions","","Ratio and probability practice problems featuring Captain Salamander’s bag of colored balls. Students write ratios, simplify them, and express probabilities as fractions. Tasks cover finding the ratio and probability of white versus black balls, then adding additional white balls, introducing red balls, and computing multi-color ratios and event probabilities (including “not white”). The worksheet ends with a proportional reasoning setup using red-to-white counts.",{"@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/ratio-probability-problems-1-write-answers-and-probabilities-as-fractions/637979/",{"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/ratio-probability-problems-1-write-answers-and-probabilities-as-fractions/637979.png","ImageObject",300,407,{"name":92,"@type":93},"mieayamfan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",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},"How should probability answers be written in these problems?","Question",{"text":112,"@type":113},"Probability answers must be written as a fraction.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the initial ratio of white balls to black balls in the bag?",{"text":117,"@type":113},"The initial ratio of white balls to black balls is 2:4, which simplifies to 1:2.",{"name":119,"@type":110,"acceptedAnswer":120},"In the final scenario with 2 red for every 3 white, if there are 6 red balls how many white balls are there?",{"text":121,"@type":113},"If there are 6 red balls, there are 9 white balls.","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},637979,1792876391,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},962090893677,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","RATIO & PROBABILITY PROBLEMS 1  \nWrite your ratio answers in the form   :    \nWrite your probability answers as a fraction.  \nCaptain Salamander puts 2 white balls and 4 black balls in a bag.  \n1) What is the ratio of white balls to black balls?    \n2) Write this ratio in its simplest form    \nHe shakes the bag and picks out a ball at random.  \n3) What is the probability that it is white?    \n4) What is the probability that it is black?    \nHe puts the ball back and adds 4 more white balls into the bag and shakes it.  \n5) What is the ratio of white to black balls now?    \n6) What is the probability that a ball chosen at random will be black?    \nNow Captain Salamander adds 2 red balls into the bag.  \n7) What is the ratio of red balls to white balls to black balls?    \n8) What is the probability that a ball chosen at random will be red?    \n9) What is the probability that a ball chosen at random will not be white?    \nCaptain Salamander now empties the bag, and then refills it with red and white balls in the ratio of 2 red balls for every 3 white balls.  \n10) If he puts in 6 red balls, how many white balls would there be?    \n11) If he puts in 18 white balls, how many red balls would there be?    \nRATIO & PROBABILITY PROBLEMS 1 ANSWERS  \nCaptain Salamander puts 2 white balls and 4 black balls in a bag.  \n1) What is the ratio of white balls to black balls? 2:4  \n2) Write this ratio in its simplest form 1:2  \nHe shakes the bag and picks out a ball at random.  \n3) What is the probability that it is white? 2/6 or 1/3  \n4) What is the probability that it is black? 4/6 or 2/3  \nHe puts the ball back and adds 4 more white balls into the bag and shakes it.  \n5) What is the ratio of white to black balls now? 6:4 or 3:2  \n6) What is the probability that a ball chosen at random will be black? 4/ 10 or 2/5  \nCaptain Salamander adds 2 red balls into the bag, which now contains 12 balls.  \n7) What is the ratio of red balls to white balls to black balls? 2:6:4 or 1:3:2  \n8) What is the probability that a ball chosen at random will be red? 2/ 12 or 1/6  \n9) What is the probability that a ball chosen at random will not be white? 6/ 12 or ½  \nCaptain Salamander now empties the bag, and then refills it with red and white balls in the ratio of 2 red balls for every 3 white balls.  \n10) If he puts in 6 red balls, how many white balls would there be? 9  \n11) If he puts in 18 white balls, how many red balls would there be? 12","cbCaiuRRbbIv6Lfs","https://ap.wps.com/l/cbCaiuRRbbIv6Lfs","pdf",254323,"English","# Ratio & Probability Problems 1\n## Questions\n## Answers","[{\"question\":\"How should probability answers be written in these problems?\",\"answer\":\"Probability answers must be written as a fraction.\"},{\"question\":\"What is the initial ratio of white balls to black balls in the bag?\",\"answer\":\"The initial ratio of white balls to black balls is 2:4, which simplifies to 1:2.\"},{\"question\":\"In the final scenario with 2 red for every 3 white, if there are 6 red balls how many white balls are there?\",\"answer\":\"If there are 6 red balls, there are 9 white balls.\"}]","RATIO & PROBABILITY PROBLEMS 1 - Write answers and probabilities as fractions | PDF",1792681849]