[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-638125-105":59,"doc-detail-638125-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-71-answers","RATIO & PROBABILITY PROBLEMS 7:1 - Answers","","A set of ratio and probability practice problems using a bag of colored balls. The worksheet defines initial ratios of white to black balls, asks for probabilities of drawing white or black, then adds more white balls and repeats ratio/probability questions. It then introduces red balls, requiring a three-color ratio and probabilities for red and “not white.” Finally, the bag is refilled with a fixed red-to-white ratio and students calculate corresponding counts and the probability of drawing white, with answers provided throughout.",{"@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-71-answers/638125/",{"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-71-answers/638125.png","ImageObject",300,407,{"name":92,"@type":93},"anakgang17","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the simplest ratio of white balls to black balls at the start?","Question",{"text":112,"@type":113},"The initial ratio is 2:4, which simplifies to 1:2.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"After adding 4 more white balls, what is the probability of drawing a black ball?",{"text":117,"@type":113},"The probability of a black ball is 4/10, which simplifies to 2/5.",{"name":119,"@type":110,"acceptedAnswer":120},"If the bag is refilled with 2 red balls for every 3 white balls, what is the probability of drawing a white ball?",{"text":121,"@type":113},"The probability of drawing a white ball is 3/5 (⅗).","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},638125,1792876390,{"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":34,"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},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","RATIO & PROBABILITY PROBLEMS 7:1  \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?    \n12) What is the probability that a ball drawn at random from the bag will be white?    \nRATIO & PROBABILITY PROBLEMS 7:1 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  \n12) What is the probability that a ball drawn at random from the bag will be white? ⅗","cbCaia4tLUej5ORW","https://ap.wps.com/l/cbCaia4tLUej5ORW","pdf",320627,"English","# Captain Salamander Bag Setup\n## Ratio and Simplest Form\n## Probability of White and Black\n# After Adding More White Balls\n## Updated Ratio\n## Probability of Black\n# Adding Red Balls\n## Three-Color Ratio\n## Probability of Red\n## Probability of Not White\n# Refill with Red-to-White Ratio\n## Find Missing Counts\n## Probability of Drawing White","[{\"question\":\"What is the simplest ratio of white balls to black balls at the start?\",\"answer\":\"The initial ratio is 2:4, which simplifies to 1:2.\"},{\"question\":\"After adding 4 more white balls, what is the probability of drawing a black ball?\",\"answer\":\"The probability of a black ball is 4/10, which simplifies to 2/5.\"},{\"question\":\"If the bag is refilled with 2 red balls for every 3 white balls, what is the probability of drawing a white ball?\",\"answer\":\"The probability of drawing a white ball is 3/5 (⅗).\"}]","RATIO & PROBABILITY PROBLEMS 7:1 - Answers | PDF",1792682175]